[
    {
        "q_id": "10509_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999984465026158,
                0.9999982396569966,
                0.9999986290421394,
                0.9999984465015047,
                0.9999984465022455,
                0.9999987901337396,
                0.9999982396569966,
                0.9999977396765106,
                0.9999967112517189,
                0.9999984465024306
            ],
            [
                0.9999977396765106,
                0.9999977396765105,
                0.999999266178757,
                0.9999967112521109,
                0.9999930377404308,
                0.9999957771665557,
                0.9999957771660526,
                0.9999982396561572,
                0.9999952149049355,
                0.9999982396561572
            ],
            [
                0.9999977396746244,
                0.9999984465022455,
                0.9999977396746244,
                0.9999980052707541,
                0.9999974387177893,
                0.9999987901338838,
                0.9999974387165681,
                0.999998005269803,
                0.999999266178757,
                0.9999987901344607
            ],
            [
                0.9999977396748938,
                0.9999986290429567,
                0.9999982396572065,
                0.9999980052700408,
                0.9999977396759716,
                0.9999987901338838,
                0.9999980052707542,
                0.9999962733598275,
                0.9999957771660526,
                0.9999984465020603
            ],
            [
                0.999997097686631,
                0.9999984465022455,
                0.9999984465016898,
                0.9999982396565769,
                0.9999962733598275,
                0.9999974387187053,
                0.9999967112501505,
                0.9999986290429567,
                0.9999957771650453,
                0.9999970976873229
            ],
            [
                0.9999945777816769,
                0.9999982396574163,
                0.9999974387184001,
                0.9999962733607161,
                0.9999930377429209,
                0.9999980052695652,
                0.9999970976880149,
                0.9999970976887069,
                0.9999962733607162,
                0.999997097687323
            ],
            [
                0.9999974387177893,
                0.9999910603058286,
                0.9999957771655489,
                0.9999898700066073,
                0.9999967112501507,
                0.9999910603047636,
                0.9999977396748938,
                0.9999952149055054,
                0.9999957771670591,
                0.9999952149037944
            ],
            [
                0.9999977396748938,
                0.9999938558232017,
                0.9999885212305076,
                0.9999977396746244,
                0.999993855824666,
                0.9999810748540223,
                0.9999921107402377,
                0.9999957771680658,
                0.9999339478635254,
                0.999983298582142
            ],
            [
                0.9999921107374183,
                0.9999910603068937,
                0.999995777164542,
                0.9999921107336532,
                0.9999885212346156,
                0.999995214904365,
                0.9999885212264029,
                0.9999952149072167,
                0.9999910603047625,
                0.999997438717484
            ],
            [
                0.9999885212346146,
                0.9999952149043647,
                0.9999921107345942,
                0.9999945777816767,
                0.9999930377437513,
                0.9999945777790913,
                0.9999962733589393,
                0.9999898700041914,
                0.9999852610145198,
                0.9999938558261312
            ],
            [
                0.999997438717484,
                0.9999970976873229,
                0.9999962733607162,
                0.9999986290431201,
                0.999998005269803,
                0.9999970976883611,
                0.9999982396574163,
                0.9999967112509348,
                0.9999974387171787,
                0.9999970976876689
            ],
            [
                0.9999987901338839,
                0.9999982396565769,
                0.999997097687323,
                0.9999982396561572,
                0.9999990577556308,
                0.9999974387168734,
                0.9999982396561571,
                0.9999967112509348,
                0.9999990577549568,
                0.9999974387168733
            ],
            [
                0.9999974387180947,
                0.999995777164542,
                0.9999987901337397,
                0.9999984465020603,
                0.9999977396746245,
                0.9999980052705163,
                0.9999987901343166,
                0.9999957771655489,
                0.9999970976890529,
                0.9999977396757023
            ],
            [
                0.9999945777816769,
                0.9999982396561571,
                0.9999952149066473,
                0.999998239656367,
                0.999994577779738,
                0.9999967112509347,
                0.9999945777816774,
                0.9999962733616046,
                0.9999974387180947,
                0.9999962733616046
            ],
            [
                0.9999982396574163,
                0.9999980052693274,
                0.9999785550439274,
                0.999997097686977,
                0.9999970976880149,
                0.9999967112501507,
                0.9999898700126435,
                0.9999962733593833,
                0.9999970976876689,
                0.9999974387187053
            ],
            [
                0.9999989322970027,
                0.9999962733616047,
                0.9999980052702785,
                0.9999984465018751,
                0.9999977396754327,
                0.9999970976866309,
                0.9999989322966208,
                0.9999977396751633,
                0.9999977396757023,
                0.9999986290426298
            ],
            [
                0.9999967112521112,
                0.9999967112517189,
                0.9999910603005134,
                0.999997097689053,
                0.9999952149043647,
                0.9999967112501508,
                0.9999974387177893,
                0.9999945777784471,
                0.9999967112497592,
                0.9999945777816769
            ],
            [
                0.9999898700041914,
                0.9999910603004993,
                0.9999974387187053,
                0.9999945777823233,
                0.9999967112493665,
                0.9999921107374157,
                0.9999970976866309,
                0.9999910603026313,
                0.9999945777797378,
                0.999995777164542
            ],
            [
                0.9999957771645419,
                0.9999921107364762,
                0.9999980052705164,
                0.9999646437619757,
                0.9999957771675623,
                0.9999974387184,
                0.9999986290424663,
                0.9999970976869769,
                0.9999910603068933,
                0.9999938558261309
            ],
            [
                0.9999970976883609,
                0.9999962733616045,
                0.9999952149072167,
                0.9999987901343165,
                0.9999980052693274,
                0.9999957771665555,
                0.9999980052702785,
                0.9999970976876691,
                0.9999986290432834,
                0.9999957771680658
            ],
            [
                0.9999921107402366,
                0.9999970976890528,
                0.9999977396759716,
                0.9999957771650453,
                0.9999974387168733,
                0.9999910603047621,
                0.9999982396565769,
                0.9999970976866309,
                0.9999984465016899,
                0.9999982396567868
            ],
            [
                0.9999977396762411,
                0.9999967112501507,
                0.9999977396748938,
                0.9999982396569966,
                0.999996711252111,
                0.999995214903224,
                0.9999986290427932,
                0.9999986290427931,
                0.9999945777829704,
                0.9999945777790914
            ],
            [
                0.9999970976866309,
                0.9999938558224687,
                0.999992110735536,
                0.9999967112517189,
                0.9999962733598278,
                0.999998239656367,
                0.9999957771655489,
                0.9999977396748938,
                0.9999910603068933,
                0.9999952149060758
            ],
            [
                0.9999885212305079,
                0.9999952149037944,
                0.9999952149072169,
                0.9999977396754327,
                0.9999967112509347,
                0.9999967112497585,
                0.9999938558261309,
                0.9999910603005019,
                0.999997097686631,
                0.9999957771680658
            ],
            [
                0.9999977396765105,
                0.9999921107392958,
                0.9999921107345934,
                0.9999898700041912,
                0.9999967112497586,
                0.9999967112513267,
                0.9999952149066462,
                0.999993037740431,
                0.999981074854025,
                0.9999921107336538
            ],
            [
                0.999995777167059,
                0.999998005270992,
                0.9999990577552937,
                0.9999962733620487,
                0.9999986290427932,
                0.9999980052702786,
                0.9999987901341724,
                0.9999967112509349,
                0.9999962733611608,
                0.9999984465024306
            ],
            [
                0.9999945777803845,
                0.9999984465022455,
                0.999959936317373,
                0.9999977396759716,
                0.9999952149037942,
                0.9999485577618665,
                0.9999417087345395,
                0.9999756997592771,
                0.9999930377429208,
                0.9999938558268633
            ],
            [
                0.9999991684719723,
                0.9999974387180947,
                0.9999974387165681,
                0.9999984465016899,
                0.9999962733593833,
                0.9999992661792819,
                0.9999980052705163,
                0.999996711252111,
                0.9999980052707541,
                0.9999987901337396
            ],
            [
                0.9999910603047619,
                0.9999485577679555,
                0.9999885212264015,
                0.999993855826131,
                0.9999977396751633,
                0.9999967112513267,
                0.9999986290421394,
                0.9999977396762411,
                0.9999967112505427,
                0.9999980052705163
            ],
            [
                0.9999921107374148,
                0.9999986290431201,
                0.9999987901347491,
                0.9999980052702786,
                0.9999984465026158,
                0.9999991684717741,
                0.9999982396567868,
                0.9999646437324474,
                0.999998446502801,
                0.9999970976873229
            ],
            [
                0.9999898700126444,
                0.9999962733616046,
                0.9999938558253983,
                0.9999930377412609,
                0.9999938558239343,
                0.9999967112505427,
                0.999994577781033,
                0.9999885212277702,
                0.9999938558275957,
                0.9999869928730883
            ],
            [
                0.9999990577556307,
                0.9999984465018751,
                0.9999962733616052,
                0.9999974387184,
                0.9999977396754327,
                0.9999970976887069,
                0.9999986290421394,
                0.9999952149032237,
                0.9999984465020603,
                0.9999962733607161
            ],
            [
                0.9999957771645422,
                0.9999938558268635,
                0.999993855823201,
                0.9999957771675625,
                0.9999930377429203,
                0.9999921107345933,
                0.9999930377454104,
                0.9999962733593833,
                0.9999945777829699,
                0.9999967112517189
            ],
            [
                0.9999970976890534,
                0.9999970976866309,
                0.9999930377420909,
                0.9999994956523514,
                0.9999977396765105,
                0.9999980052709919,
                0.9999977396765106,
                0.9999970976890529,
                0.999998005269803,
                0.999998446502801
            ],
            [
                0.9999967112513267,
                0.9999991684717741,
                0.9999970976883609,
                0.9999962733616052,
                0.9999967112501505,
                0.9999977396748939,
                0.9999962733607161,
                0.9999982396567867,
                0.9999952149037942,
                0.9999967112517189
            ],
            [
                0.9999977396748939,
                0.999998005270992,
                0.9999974387177893,
                0.999997097688361,
                0.9999970976887069,
                0.999998005269803,
                0.9999986290421394,
                0.9999957771660523,
                0.9999974387177893,
                0.9999945777816773
            ],
            [
                0.9999977396751633,
                0.9999986290429566,
                0.9999986290429566,
                0.9999984465020603,
                0.9999989322971299,
                0.9999987901337396,
                0.9999986290432834,
                0.9999962733593833,
                0.9999962733620488,
                0.9999974387177893
            ],
            [
                0.9999938558261309,
                0.999981074858529,
                0.9999957771655489,
                0.9999938558253986,
                0.999993037743751,
                0.9999970976887068,
                0.9999962733598285,
                0.9999869928715366,
                0.9999832985821414,
                0.9999967112509347
            ],
            [
                0.9999986290429566,
                0.99999893229713,
                0.9999977396751633,
                0.9999977396757023,
                0.9999980052695652,
                0.9999986290432834,
                0.9999967112501507,
                0.9999980052693274,
                0.9999974387171787,
                0.9999957771680659
            ],
            [
                0.9999967112505427,
                0.9999945777816768,
                0.9999984465015047,
                0.9999957771675624,
                0.9999957771660523,
                0.9999982396565767,
                0.9999977396751633,
                0.9999945777816781,
                0.9999982396561572,
                0.9999967112501507
            ],
            [
                0.9999910603026305,
                0.9999952149066464,
                0.9999962733616045,
                0.999988521231875,
                0.9999921107383557,
                0.999964643732451,
                0.999997438717484,
                0.9999910603015663,
                0.9999945777829699,
                0.9999930377454107
            ],
            [
                0.9999982396574163,
                0.999998790134028,
                0.9999980052693274,
                0.9999957771680659,
                0.9999980052705163,
                0.999998239656367,
                0.9999962733616045,
                0.9999984465020603,
                0.9999957771650454,
                0.9999974387180947
            ],
            [
                0.9999984465016899,
                0.9999982396569966,
                0.9999989322973845,
                0.999998790134605,
                0.9999984465026158,
                0.999997438716568,
                0.9999990577552937,
                0.9999980052707541,
                0.9999980052695653,
                0.9999984465022455
            ],
            [
                0.9999986290427931,
                0.9999962733611604,
                0.9999967112501507,
                0.9999945777797382,
                0.9999938558275957,
                0.9999957771650454,
                0.9999921107345942,
                0.999995214904935,
                0.9999980052693275,
                0.9999980052709919
            ],
            [
                0.9999962733620488,
                0.999997097687669,
                0.999891103051941,
                0.9999832985741784,
                0.9999810748449944,
                0.9999898700090223,
                0.9999869928653358,
                0.9999417087484445,
                0.9996200154270999,
                0.9997965730515117
            ],
            [
                0.999997097687323,
                0.9999970976876689,
                0.9999974387171787,
                0.9999986290432835,
                0.9999962733593832,
                0.9999986290424664,
                0.9999987901347492,
                0.9999991684722698,
                0.9999992661789321,
                0.9999984465026158
            ],
            [
                0.999998239656367,
                0.9999980052698031,
                0.9999967112493665,
                0.9999952149037942,
                0.9999970976873229,
                0.9999957771660523,
                0.99999893229713,
                0.9999967112521109,
                0.9999967112517189,
                0.9999945777797378
            ],
            [
                0.9999980052698031,
                0.9999986290424663,
                0.9999990577552937,
                0.9999986290424664,
                0.9999990577556308,
                0.9999982396559474,
                0.9999987901344608,
                0.999997097687323,
                0.9999970976873229,
                0.9999984465020603
            ],
            [
                0.999997097686631,
                0.9999986290424663,
                0.9999990577550691,
                0.9999987901337396,
                0.9999967112493665,
                0.9999982396574163,
                0.999997438716568,
                0.9999962733611603,
                0.9999977396751634,
                0.9999982396561572
            ],
            [
                0.999997097686631,
                0.9999977396748938,
                0.999999057755069,
                0.9997040429363098,
                0.9999989322972572,
                0.9999687980886309,
                0.9999986290429566,
                0.999997438717484,
                0.9999989322967481,
                0.999997097689053
            ],
            [
                0.9999945777790913,
                0.9999952149043647,
                0.9999910603068933,
                0.9999952149055054,
                0.9999921107364743,
                0.9999724643187544,
                0.9999938558261309,
                0.9999952149060758,
                0.9999930377404308,
                0.9999832985701973
            ],
            [
                0.9740426434615237,
                0.9986749778619227,
                0.9992903296418482,
                0.999512142829903,
                0.9986749777563996,
                0.999891103065238,
                0.998674977354795,
                0.9995694429691655,
                0.9998415637645076,
                0.9998601779594297
            ],
            [
                0.9999962733598275,
                0.9999910603026312,
                0.9999962733611603,
                0.9999977396765106,
                0.9999930377429209,
                0.9999977396746244,
                0.9999984465024306,
                0.9999986290427931,
                0.9999957771675623,
                0.9999957771670589
            ],
            [
                0.999998005269803,
                0.9999938558275956,
                0.9999957771680658,
                0.9999967112513269,
                0.9999967112493668,
                0.9999945777829696,
                0.9999921107336532,
                0.9999977396746245,
                0.9999977396754327,
                0.9999970976880149
            ],
            [
                0.9999982396561572,
                0.9999986290431201,
                0.9999982396561572,
                0.9999977396754328,
                0.9999974387168734,
                0.9999974387177895,
                0.9999977396754327,
                0.9999962733616047,
                0.9999987901347491,
                0.9999957771645421
            ],
            [
                0.9999980052700408,
                0.9999970976880149,
                0.9999986290421394,
                0.9999987901344607,
                0.9999987901347491,
                0.9999990577549568,
                0.9999986290426297,
                0.9999982396572065,
                0.9999980052693274,
                0.9999977396759716
            ],
            [
                0.9999967112505427,
                0.9999984465024306,
                0.9999990577549568,
                0.9999967112509347,
                0.9999977396754327,
                0.999997097686977,
                0.9999974387180947,
                0.9999970976866309,
                0.9999982396569965,
                0.9999980052695652
            ],
            [
                0.9999962733593832,
                0.9999962733598275,
                0.9999957771645419,
                0.9999921107392962,
                0.9999967112501507,
                0.9999756997621694,
                0.999993037746241,
                0.9999957771645421,
                0.9999756997505788,
                0.999992110740236
            ],
            [
                0.9999977396751633,
                0.9999930377454109,
                0.9999938558232014,
                0.9999962733611603,
                0.9999962733620489,
                0.999997097687323,
                0.9999962733593835,
                0.9999967112513268,
                0.999997097687669,
                0.999997097689053
            ],
            [
                0.9999993524054335,
                0.9999938558239343,
                0.9999967112501507,
                0.9999980052695652,
                0.9999970976887068,
                0.999997097686631,
                0.9999957771680662,
                0.999997097687323,
                0.9999957771660531,
                0.9999945777797381
            ],
            [
                0.9999930377420911,
                0.9999938558268653,
                0.9999938558253987,
                0.9999930377454107,
                0.9999945777816769,
                0.9999986290423029,
                0.9999962733607161,
                0.9999938558232014,
                0.9999898700053984,
                0.9999756997679932
            ],
            [
                0.9996200155608298,
                0.6791786926816161,
                0.9998415637835254,
                0.9999967112517189,
                0.998674977716347,
                0.9975273774193669,
                0.9964063982272631,
                0.9996200155149193,
                0.9997388095676922,
                0.9820137936897364
            ],
            [
                0.9999785550439235,
                0.999769493341751,
                0.9999957771645419,
                0.9999945777810304,
                0.9978172833239269,
                0.99966464993103,
                0.9988304896385278,
                0.9999251537638563,
                0.9990889486543891,
                0.9999546021421849
            ],
            [
                0.9999980052709919,
                0.9999984465016899,
                0.9999990577554061,
                0.9999984465015046,
                0.999998629042303,
                0.9999986290426298,
                0.9999967112497585,
                0.999998629042303,
                0.9999986290421395,
                0.9999977396748939
            ],
            [
                0.9999967112501507,
                0.9999980052709919,
                0.9999970976876689,
                0.9999962733611616,
                0.9999974387187053,
                0.9999970976890529,
                0.9999986290429566,
                0.9999989322966208,
                0.9999984465016899,
                0.999996273358939
            ],
            [
                0.9999962733607161,
                0.9999982396572065,
                0.9999977396751634,
                0.9999982396569966,
                0.9999962733611604,
                0.9999977396748938,
                0.9999982396572065,
                0.9999930377412608,
                0.9999984465024306,
                0.9999989322968754
            ],
            [
                0.9999989322973846,
                0.9999977396751633,
                0.9999952149066462,
                0.9999938558275958,
                0.9999967112505427,
                0.9999957771665556,
                0.9999957771675624,
                0.9999885212359799,
                0.9999957771670589,
                0.999993855826131
            ],
            [
                0.9999980052700408,
                0.9999945777797377,
                0.9999967112493665,
                0.9999977396757022,
                0.999998239656367,
                0.9999990577551815,
                0.9999930377462409,
                0.9999957771650457,
                0.9999977396746245,
                0.999998239656367
            ],
            [
                0.9999970976883609,
                0.999995214903224,
                0.9999962733602717,
                0.9999982396567868,
                0.9999986290427931,
                0.9999957771655488,
                0.9999980052693274,
                0.9999977396748941,
                0.999995214904935,
                0.999997097688361
            ],
            [
                0.9999987901341723,
                0.9999989322973846,
                0.9999977396759716,
                0.9999984465016899,
                0.9999982396572064,
                0.9999982396559474,
                0.9999987901343165,
                0.9999984465016898,
                0.99999893229713,
                0.9999982396559473
            ],
            [
                0.9975273773952472,
                7.889259764079887e-06,
                0.9980732651369811,
                0.9999756997535417,
                0.9999599363221485,
                0.7057850278370112,
                0.9968273174469019,
                0.9964063980671938,
                0.9859363721173724,
                0.9992903296210848
            ],
            [
                0.9999938558253991,
                0.9999962733616052,
                0.9999984465020603,
                0.999997097688361,
                0.999997097686631,
                0.9999967112501507,
                0.9999977396748939,
                0.9999991684722698,
                0.9999952149066464,
                0.9999957771655489
            ],
            [
                0.999997097686977,
                0.9999980052702786,
                0.9999970976873229,
                0.999997097687323,
                0.9999967112505427,
                0.9999952149032237,
                0.9999974387168734,
                0.9999980052705164,
                0.9999962733616045,
                0.9999977396757022
            ],
            [
                0.9999982396567867,
                0.999995777167059,
                0.9999930377420907,
                0.9999938558268635,
                0.9999921107392962,
                0.9999952149043646,
                0.999993037745411,
                0.9999957771675625,
                0.9999957771665555,
                0.9999938558253983
            ],
            [
                0.999993855823201,
                0.9999967112505427,
                0.9999898700114362,
                0.9999957771675625,
                0.9999957771645419,
                0.9999967112505427,
                0.9999952149032239,
                0.9999930377420924,
                0.9999970976866311,
                0.9999921107355365
            ],
            [
                0.9999982396559473,
                0.9999952149032241,
                0.9999977396762411,
                0.9999974387184,
                0.999998005269803,
                0.999995777168066,
                0.999996273358939,
                0.9999974387180948,
                0.9999974387184,
                0.9999962733616045
            ],
            [
                0.9999986290426298,
                0.9990889486739395,
                0.9999952149032239,
                0.9999967112501504,
                0.9999977396762411,
                0.9999945777810304,
                0.9999967112509349,
                0.9999952149072169,
                0.9999957771660521,
                0.9999952149055056
            ],
            [
                0.9999984465018751,
                0.9999986290427931,
                0.999995777165549,
                0.9999980052695652,
                0.9999986290429566,
                0.9999962733602719,
                0.9999974387180947,
                0.9999974387171787,
                0.9999980052702785,
                0.9999957771675623
            ],
            [
                0.9999921107345933,
                0.9999952149049355,
                0.9999485577864038,
                0.9995121428315209,
                0.9999810748495044,
                0.9999980052698031,
                0.9999970976883609,
                0.9999984465026159,
                0.9999938558253987,
                0.9999910603005002
            ],
            [
                0.999997438717484,
                0.9999970976873229,
                0.9999898700126454,
                0.9999977396748939,
                0.9999977396746244,
                0.9999921107383553,
                0.9999974387184,
                0.9999967112517189,
                0.9999982396559473,
                0.9999810748449929
            ],
            [
                0.9999898700102304,
                0.9999967112497586,
                0.9999974387187058,
                0.9999977396757023,
                0.9999930377445811,
                0.9999987901343165,
                0.9999957771645419,
                0.999998446502801,
                0.9999987901346049,
                0.9999984465020603
            ],
            [
                0.9999977396765106,
                0.9999974387184,
                0.9999984465026158,
                0.9999967112521108,
                0.999996273358939,
                0.999997097687669,
                0.9999980052705164,
                0.9999977396757022,
                0.9999980052693274,
                0.999997097686977
            ],
            [
                0.9999967112505427,
                0.9999967112509348,
                0.9999974387165681,
                0.9999977396746245,
                0.9999957771645419,
                0.9999952149072167,
                0.9999952149032237,
                0.999997438717484,
                0.9999957771650454,
                0.9999910603005011
            ],
            [
                0.9999945777790923,
                0.9999952149032243,
                0.9999938558246667,
                0.9999832985761751,
                0.9999977396746248,
                0.9999930377404309,
                0.9999930377412617,
                0.9999952149060762,
                0.9999810748450153,
                0.9999930377420925
            ],
            [
                0.9999967112513267,
                0.9999980052698029,
                0.9999986290424663,
                0.9999977396748938,
                0.9999980052709919,
                0.9999984465026158,
                0.9999974387171787,
                0.9999982396567867,
                0.9999994284994849,
                0.9999982396567867
            ],
            [
                0.9999987901337396,
                0.9999992661792819,
                0.9999984465018751,
                0.9999980052702786,
                0.9999984465024306,
                0.9999980052705163,
                0.9999980052693275,
                0.9999986290423029,
                0.9999989322971299,
                0.999998790134028
            ],
            [
                0.9999974387184,
                0.999998239656367,
                0.9999687980849168,
                0.9999989322970027,
                0.9999962733616046,
                0.9999977396746245,
                0.9999980052709919,
                0.9999962733607162,
                0.9999974387168733,
                0.9999986290427931
            ],
            [
                0.9999938558224688,
                0.9999962733616045,
                0.9999974387168734,
                0.9999957771670588,
                0.9999974387177893,
                0.9999980052702785,
                0.9999982396574163,
                0.9999952149055061,
                0.9999987901344607,
                0.9999898700041909
            ],
            [
                0.9999982396572064,
                0.999998239656367,
                0.9999974387187053,
                0.9999984465024306,
                0.9999987901338838,
                0.9999987901347491,
                0.9999982396561572,
                0.9999991684715759,
                0.9999974387168733,
                0.9999992661786696
            ],
            [
                0.9999967112505427,
                0.9999885212264029,
                0.9999967112501509,
                0.9999974387177893,
                0.9999970976887069,
                0.9999898700078143,
                0.999998239656367,
                0.9999724643023389,
                0.9999952149066464,
                0.9999977396759716
            ],
            [
                0.9999982396561572,
                0.9999952149032237,
                0.9999967112513267,
                0.9999945777810306,
                0.9999970976866309,
                0.9999957771665556,
                0.999997438716568,
                0.9999982396565769,
                0.9999962733616047,
                0.9999957771670591
            ],
            [
                0.9999990577551814,
                0.9999984465016899,
                0.9999977396757024,
                0.9999984465015046,
                0.9999986290426297,
                0.9999984465015047,
                0.9999984465018751,
                0.9999980052695652,
                0.9999945777784449,
                0.999999057755069
            ],
            [
                0.9999987901337396,
                0.9999977396759716,
                0.9999987901341723,
                0.9999952149055056,
                0.9999984465018751,
                0.9999980052695652,
                0.9999980052695652,
                0.9999984465026158,
                0.9999986290429566,
                0.9999986290432834
            ],
            [
                0.999999352404893,
                0.9999984465024306,
                0.9999980052702786,
                0.9999970976880149,
                0.9999974387168733,
                0.9999977396746244,
                0.9999962733602722,
                0.9999977396751633,
                0.999998446502801,
                0.9999977396754328
            ],
            [
                0.9998204720769719,
                0.9997040428308861,
                0.9996200154253311,
                0.9997965730757956,
                0.9998766054693765,
                0.9999646437535213,
                0.9993736658250942,
                0.99867497739608,
                0.9999038975737738,
                0.9999810748562752
            ],
            [
                0.9999993524052019,
                0.9999987901343165,
                0.999997097687669,
                0.9999992661792819,
                0.9999977396759716,
                0.9999977396765107,
                0.9999982396567868,
                0.9999986290424663,
                0.999998446502801,
                0.9999986290424663
            ],
            [
                0.9999977396759716,
                0.9999962733607161,
                0.9999974387180947,
                0.9999986290431201,
                0.9999970976866311,
                0.9999986290424663,
                0.9999980052702785,
                0.9999938558224688,
                0.9999984465024306,
                0.9999957771650454
            ],
            [
                0.9999993524051246,
                0.9999982396561572,
                0.999997097688361,
                0.9999990577552937,
                0.9999986290423029,
                0.9999987901347491,
                0.9999984465024306,
                0.9999967112521109,
                0.9999980052693274,
                0.9999962733602719
            ],
            [
                0.9999910603015675,
                0.9999885212277736,
                0.9999930377429223,
                0.9999921107364749,
                0.9999852610110019,
                0.9999910603005002,
                0.9999974387168733,
                0.999993037740431,
                0.9999945777823231,
                0.9999957771670591
            ],
            [
                0.9999977396754327,
                0.9999991684720715,
                0.9999986290432834,
                0.9999982396565769,
                0.9999970976880149,
                0.9999957771665557,
                0.9999991684715759,
                0.9999991684721706,
                0.9999984465026158,
                0.9999957771680661
            ],
            [
                0.9999910603058296,
                0.9999957771650455,
                0.9999977396759716,
                0.9999952149037942,
                0.9999898700090245,
                0.9999938558268633,
                0.9999967112497585,
                0.9999970976880149,
                0.999992110740236,
                0.9999952149066464
            ],
            [
                0.9999990577554061,
                0.9999992661788446,
                0.9999980052700408,
                0.9999991684721706,
                0.9999984465024306,
                0.99999893229713,
                0.9999992661788445,
                0.9999986290432835,
                0.9999962733620488,
                0.9999989322971299
            ],
            [
                0.999997097688015,
                0.9999974387184,
                0.9999974387187054,
                0.999999057755069,
                0.9999970976887069,
                0.9999991684718733,
                0.9999957771675625,
                0.999998629042303,
                0.9999970976887068,
                0.9999990577556308
            ],
            [
                0.9999974387171788,
                0.9999967112521108,
                0.9999977396754328,
                0.999995214906076,
                0.9999957771675626,
                0.9999957771645424,
                0.9999982396567867,
                0.9999952149037944,
                0.9999952149060763,
                0.9999957771675625
            ],
            [
                0.9999982396569966,
                0.9999984465016899,
                0.9999986290432834,
                0.9999982396569966,
                0.9999962733616045,
                0.9999974387184,
                0.99999862904312,
                0.9999977396748938,
                0.9999980052709919,
                0.9999991684720715
            ],
            [
                0.9999962733589389,
                0.9999930377420907,
                0.999989870011436,
                0.9999910603015656,
                0.9999952149072171,
                0.9999974387177893,
                0.999996273360272,
                0.9999952149072169,
                0.9999974387184,
                0.9999898700090217
            ],
            [
                0.9999962733593835,
                0.999996711251327,
                0.9999967112497585,
                0.9999977396757022,
                0.9999967112501509,
                0.999997438717484,
                0.9999970976883609,
                0.9999987901343165,
                0.9999974387184,
                0.9999984465020603
            ],
            [
                0.9999990577551815,
                0.9999984465016899,
                0.9999986290424664,
                0.9999982396574163,
                0.9999996072136592,
                0.9999967112513267,
                0.9999982396559473,
                0.9999987901347492,
                0.9999982396569966,
                0.9999990577550691
            ],
            [
                0.9999962733616046,
                0.9999930377445807,
                0.9999962733611605,
                0.9999967112509347,
                0.9999785550567073,
                0.9999967112517189,
                0.999997438716568,
                0.999995777164542,
                0.999933947831744,
                0.999903897550844
            ],
            [
                0.9999962733598274,
                0.9999962733616047,
                0.9999957771665555,
                0.9999930377437507,
                0.9999930377412614,
                0.9999957771670593,
                0.999995214904935,
                0.9999957771655489,
                0.9999957771650456,
                0.9999945777797378
            ],
            [
                0.9999974387177892,
                0.9999974387168733,
                0.999997097686977,
                0.9999982396565767,
                0.9999977396765105,
                0.9999982396572065,
                0.9999986290427932,
                0.9999938558246659,
                0.9999967112501507,
                0.9999967112497585
            ],
            [
                0.9999962733607161,
                0.9999977396762411,
                0.9999898700078133,
                0.9999967112509347,
                0.9999982396574162,
                0.999997097687669,
                0.9999984465018751,
                0.9999930377454106,
                0.9999957771675623,
                0.9999980052693274
            ],
            [
                0.999997097688707,
                0.9999957771660524,
                0.9999921107336536,
                0.9999980052693275,
                0.9999967112493667,
                0.9999945777823235,
                0.9999952149060762,
                0.9999962733611604,
                0.9999945777829701,
                0.9999945777829701
            ],
            [
                0.9999921107383553,
                0.999995777165549,
                0.9999977396748938,
                0.9999986290429566,
                0.9999977396762411,
                0.9999984465022455,
                0.9999982396561572,
                0.9999930377420909,
                0.999997438717484,
                0.999968798092358
            ],
            [
                0.9999810748449934,
                0.9999910603058279,
                0.9999952149032239,
                0.9999810748562752,
                0.9999974387171787,
                0.9999945777790915,
                0.9999945777790913,
                0.999993855823934,
                0.9999869928730871,
                0.999993855823201
            ],
            [
                0.9999987901344608,
                0.9999987901343166,
                0.9999980052700408,
                0.9999977396759716,
                0.9999962733602719,
                0.9999980052705164,
                0.9999984465018751,
                0.9999982396569966,
                0.9999974387171787,
                0.999998790134605
            ],
            [
                0.9999987901346049,
                0.9999984465016899,
                0.9999986290424663,
                0.9999982396559473,
                0.9999980052702786,
                0.9999992661792819,
                0.9999967112509347,
                0.9999992661786696,
                0.9999967112501507,
                0.9999987901343165
            ],
            [
                0.999998005269803,
                0.9999984465015046,
                0.9999984465020603,
                0.999999266178757,
                0.9999986290432835,
                0.9999986290424663,
                0.9999989322971299,
                0.9999991684722697,
                0.999997438716568,
                0.999998005269803
            ],
            [
                0.9999898700041928,
                0.9999970976887069,
                0.9999967112493665,
                0.9999977396765106,
                0.9999952149049368,
                0.9999967112497585,
                0.9999952149043672,
                0.9999938558239437,
                0.999993855826131,
                0.9999980052705163
            ],
            [
                0.9999970976866309,
                0.9999980052705163,
                0.9999977396757022,
                0.9999962733616045,
                0.9999952149055056,
                0.9999977396751633,
                0.9999967112501507,
                0.9999982396572065,
                0.9999967112517187,
                0.9999989322975118
            ],
            [
                0.9999990577552937,
                0.9999986290424664,
                0.9999984465015047,
                0.9999987901347491,
                0.9999957771675626,
                0.9999982396572065,
                0.9999984465018751,
                0.9999989322970027,
                0.9999984465015047,
                0.9999984465016899
            ],
            [
                0.999997438716568,
                0.9999962733616053,
                0.9999980052709919,
                0.9999977396757022,
                0.9999967112513268,
                0.9999977396754328,
                0.9999974387180947,
                0.9999977396754327,
                0.9999980052709919,
                0.9999977396746244
            ],
            [
                0.9999974387177893,
                0.999997097688015,
                0.9999982396559474,
                0.9999977396746245,
                0.9999962733589389,
                0.9999962733589389,
                0.9999970976876689,
                0.9999898700090217,
                0.9999952149072169,
                0.9999987901337396
            ],
            [
                0.9999970976890528,
                0.9999980052705163,
                0.9999980052693274,
                0.9999974387171787,
                0.9999977396757022,
                0.9999982396567867,
                0.9999967112493665,
                0.9999938558253987,
                0.9999967112521109,
                0.9999982396569966
            ],
            [
                0.9999938558268635,
                0.9999974387174843,
                0.9999945777797414,
                0.9999962733602719,
                0.9999984465015047,
                0.9999977396759716,
                0.9999945777803843,
                0.9999970976866309,
                0.9999980052702786,
                0.9999970976866309
            ],
            [
                0.9999982396572065,
                0.9999967112509347,
                0.999998005269803,
                0.9999989322967481,
                0.9999982396565769,
                0.9999967112513268,
                0.9999989322972572,
                0.999998790134028,
                0.9999989322973846,
                0.9999982396565769
            ],
            [
                0.9999991684715759,
                0.9999982396559474,
                0.999999057755743,
                0.9999980052698031,
                0.9999987901341723,
                0.9999982396565771,
                0.9999982396569966,
                0.9999982396572065,
                0.9999986290424663,
                0.9999982396567867
            ],
            [
                0.9999982396565769,
                0.9999980052705163,
                0.9999938558253986,
                0.9999986290424663,
                0.9999962733602719,
                0.9999984465024306,
                0.9999982396559474,
                0.9999945777823231,
                0.999993855822469,
                0.9999945777790915
            ]
        ]
    },
    {
        "q_id": "10395_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9669140225647108,
                0.9046505318875316,
                0.0011695100962923265,
                0.0002034269963754405,
                0.9940889311109208,
                0.8670357563664174,
                0.00010889689626212509,
                8.481105139057794e-05,
                0.9579122722345713,
                0.0031726825332164684
            ],
            [
                0.9968273164049608,
                0.9953904287030435,
                0.987568350415982,
                0.9994472212563114,
                0.0010322309290758346,
                0.990291522587316,
                2.7535704224732304e-05,
                0.9978172834993816,
                0.9989677691691197,
                0.9995121427681696
            ],
            [
                7.889260704308795e-06,
                2.260324836696773e-06,
                1.0129994602057158e-05,
                5.422220908762902e-06,
                5.144223816384438e-05,
                0.00037998446957088883,
                3.2887502415243994e-06,
                8.481106149073081e-05,
                5.422220262505697e-06,
                5.4222183234485234e-06
            ],
            [
                0.9989677690427139,
                0.9998601779592853,
                0.00026119036925343594,
                0.999569443012441,
                0.9997965730269643,
                0.9982992772766676,
                0.9999687980886359,
                0.9706877721105295,
                0.9982992779079726,
                0.9978172836849779
            ],
            [
                0.9989677689163081,
                0.9940889318086735,
                0.9999599363221485,
                0.9978172837123611,
                0.9998204719483437,
                0.998967769161797,
                0.9999038975507789,
                0.9992903294513871,
                0.999860177959267,
                0.9902915236259733
            ],
            [
                0.9959298630599038,
                0.9982992775150377,
                0.9996200154708879,
                0.9996200154705231,
                0.9953904281133407,
                0.9982992777016224,
                0.9890130571670075,
                0.9924227580948312,
                0.9996200154257733,
                0.9990889487806979
            ],
            [
                0.9859363709293236,
                0.9971990726238308,
                0.9986749775606039,
                0.999290329711527,
                0.9998911030390163,
                0.9997040429373001,
                0.998674977383294,
                0.9990889487901816,
                0.9997965729301365,
                0.9997040429014957
            ],
            [
                0.9770226306335731,
                0.0009110514064340169,
                0.9324533027598817,
                0.9953904279402757,
                0.9796676484753359,
                0.0066928520542310094,
                0.9933071500973101,
                0.9964063978771116,
                0.9626731147976794,
                4.006370650653807e-05
            ],
            [
                0.9980732655607657,
                0.9978172836966411,
                0.9796676479930108,
                0.9989677689381561,
                0.9953904270343552,
                0.9820137939529312,
                0.9982992777395719,
                2.4300237828943813e-05,
                0.00026119030761264354,
                0.9890130560740512
            ],
            [
                0.9579122768904644,
                0.9890130564484899,
                0.9940889311957456,
                0.9947798730852903,
                0.9995121427643663,
                0.03308597552845946,
                0.9924227600662838,
                0.9820137868466708,
                0.9968273168622368,
                0.0024726234414771476
            ],
            [
                0.962673116671762,
                0.9796676464347297,
                0.9770226313862481,
                0.9914225135804625,
                0.9669140179168129,
                0.9890130579563647,
                0.9579122683296283,
                0.00033535006873584074,
                0.0004305569844902555,
                0.9902915248078935
            ],
            [
                0.9999724643187513,
                0.9998766054398187,
                0.9992903296200941,
                0.9998601779258398,
                0.9994472213890281,
                0.9998766054692472,
                0.9999832985841289,
                0.9953904280321496,
                0.9914225133587057,
                0.9971990732474829
            ],
            [
                0.00020342699687858105,
                0.9997694931755025,
                0.9241418158002492,
                0.9998766054399156,
                0.9959298617838921,
                0.9984988177286052,
                0.9875683497528133,
                0.9991959141522446,
                0.9914225160910661,
                0.9978172837265598
            ],
            [
                0.9890130587558419,
                0.9984988178884456,
                0.9968273176000636,
                0.9875683477404389,
                0.9465966696352197,
                0.9994472213848153,
                0.9980732653140617,
                0.0007096703630640756,
                0.997817283162164,
                0.9993736657513141
            ],
            [
                0.0002611903086233974,
                3.535626333641835e-05,
                9.610244928336962e-05,
                8.481102099695511e-05,
                0.00037998456857770243,
                1.3007134665934505e-05,
                1.3007126912542439e-05,
                7.889263525534328e-06,
                7.889265406904397e-06,
                7.889263526093993e-06
            ],
            [
                0.9964063970084025,
                0.9997965729539883,
                0.00317268325631624,
                0.9993736659738567,
                0.9991959140464125,
                0.0006263340159051466,
                0.9998766054103759,
                0.9996646500093568,
                0.9995694430135433,
                0.9997040429710378
            ],
            [
                0.9971990729119204,
                0.9988304894662289,
                0.9996646498518251,
                0.9997388097224972,
                0.9998911030648656,
                0.999820472055611,
                0.9992903297052939,
                0.9971990729307796,
                0.9995694429625396,
                0.9997694933122331
            ],
            [
                0.9982992778757551,
                0.9998601779425625,
                0.9902915253630378,
                0.9998204720770738,
                0.999373665820467,
                0.9993736658988743,
                0.9992903294526255,
                0.9978172834329522,
                0.9988304894716684,
                0.9980732653621937
            ],
            [
                0.998498817743961,
                0.9959298625408164,
                0.9989677691716407,
                0.9997040430070055,
                0.9998204720340828,
                0.9989677688100697,
                0.9993736658258594,
                0.9992903295430676,
                0.9992903297112792,
                0.9996200154713191
            ],
            [
                0.9999485577740962,
                0.9986749775110003,
                0.9998415637076294,
                0.9998601778927992,
                0.990291525031742,
                0.9988304898707981,
                0.9997040428302661,
                0.9964063968049811,
                0.9996646497302664,
                0.9980732655321104
            ],
            [
                0.9998204719699371,
                0.00023050676933843763,
                0.9978172840221955,
                0.9964063971501304,
                0.006692849590019915,
                0.00033535006873584074,
                0.9940889303283431,
                0.9993736659014247,
                0.999512142766495,
                0.9914225160910661
            ],
            [
                0.9947798739872495,
                0.970687766651747,
                0.9997040429359567,
                0.9914225150377215,
                0.9998415637076041,
                0.9986749776949342,
                0.9890130550215747,
                0.9997040428665009,
                0.998299277284969,
                0.9992903296200941
            ],
            [
                6.9622587393661365e-06,
                1.473897670007122e-05,
                1.147876675686207e-05,
                7.889263524443698e-06,
                2.9023133690637e-06,
                7.889259762494174e-06,
                3.2887498493983645e-06,
                6.962258738827909e-06,
                1.6701419849933667e-05,
                4.7850939242083995e-06
            ],
            [
                0.9996646497701029,
                3.5356267555952205e-05,
                0.999447221454084,
                0.9999151889384686,
                0.99937366589851,
                0.9991959140520712,
                0.999620015469086,
                0.9992903294496533,
                0.9984988175206032,
                0.9995694428623233
            ],
            [
                0.9984988173970584,
                0.9996646498913104,
                0.9988304894987303,
                0.9999417087345169,
                0.9996646499316056,
                0.9978172837402512,
                0.9953904285876669,
                0.9988304896378478,
                0.9999485577863791,
                0.9986749773953097
            ],
            [
                0.9924227585605563,
                0.9820137883929406,
                7.889263525534328e-06,
                0.9940889303310794,
                0.9980732655536018,
                0.9796676469170548,
                0.7981867801399695,
                2.7535694373763664e-05,
                0.970687767658707,
                0.9740426446859761
            ],
            [
                0.998073265418161,
                0.999290329624057,
                0.9971990733606377,
                0.9964063977370511,
                0.998674977853296,
                0.9859363708131015,
                0.9890130593630397,
                0.9980732651280264,
                0.9840936075884247,
                0.9968273166707846
            ],
            [
                0.0019267348415274198,
                0.9986749773543329,
                0.9525741244662868,
                0.939913347090917,
                0.9579122701319097,
                0.9579122705824801,
                0.9947798734238272,
                0.9859363713038174,
                0.9890130548191753,
                0.957912271784001
            ],
            [
                0.0015011824443226414,
                0.9988304897324967,
                0.9995121427651894,
                0.9998204720555091,
                0.9986749773628055,
                0.999447221255861,
                0.9998415637455221,
                0.9998601778592663,
                0.9993736659688651,
                0.999860177959267
            ],
            [
                4.5397874044343825e-05,
                1.4738988998787566e-05,
                3.12019262340518e-05,
                5.144221363703851e-05,
                1.0129990979547237e-05,
                0.9770226298808979,
                6.144173869240119e-06,
                1.1478773598914277e-05,
                1.0129995809247506e-05,
                6.1441731370702875e-06
            ],
            [
                0.9978172839714861,
                0.9975273766463876,
                0.00017952790107154517,
                0.00017952794425061798,
                0.9399133460389649,
                0.0002959571335851705,
                0.992422759449986,
                0.9890130591100407,
                0.9796676473993798,
                0.00013982210717841299
            ],
            [
                0.9993736657542289,
                0.9997694933123941,
                0.9999251537638204,
                0.999968798077472,
                0.9999921107355336,
                0.9999869928746385,
                0.9999546021475963,
                0.9995121427640257,
                0.9980732649028139,
                0.9978172839233121
            ],
            [
                0.0003799845280065731,
                0.9399133529818484,
                0.9986749773678891,
                0.9964063981989174,
                0.9980732651589204,
                0.9859363723239896,
                0.9959298617744541,
                0.9947798746812504,
                0.0011695100901727914,
                0.8519528019683106
            ],
            [
                0.9986749775110003,
                0.9996200155607524,
                0.9997040427594842,
                0.9986749773746673,
                0.999820471991165,
                0.9875683520624698,
                0.9959298625634674,
                0.9988304898569271,
                0.9986749778412802,
                2.144495352533148e-05
            ],
            [
                0.9999756997592719,
                0.9996200155158589,
                0.002182716001130872,
                0.9995694428598808,
                0.9991959139516638,
                0.999925153745984,
                0.9875683494669646,
                0.9988304898728381,
                0.9992903297013723,
                0.9997040429361289
            ],
            [
                0.993307149775353,
                5.82912932959289e-05,
                0.9992903296205894,
                0.9399133458285744,
                0.00026119024638224686,
                0.0002611903086233974,
                0.9971990729873569,
                0.9988304896019465,
                0.9890130548798951,
                0.9046505408849362
            ],
            [
                0.9399133470909171,
                0.9953904273505727,
                5.1442213617576366e-05,
                0.9991959139630748,
                0.9990889486576211,
                0.9924227573979945,
                2.7535697655983693e-05,
                4.006367783266211e-05,
                0.9914225137863796,
                0.990291523661789
            ],
            [
                5.829128637164443e-05,
                5.829124466437278e-05,
                7.484624492545807e-05,
                9.61024033409101e-05,
                0.00010889696109138246,
                0.9579122710330503,
                3.5356259106723956e-05,
                3.12019076377484e-05,
                0.9875683489524371,
                0.9324533013520764
            ],
            [
                0.00026119033974397824,
                0.9940889307442585,
                0.9796676457668948,
                0.0007096702765021507,
                0.0013250224948536185,
                0.9914225135567029,
                0.9669140222071803,
                0.9241418262465169,
                0.966914022326357,
                0.9046505331728751
            ],
            [
                0.9997965730022631,
                0.9998204719915358,
                0.9988304897337206,
                0.9998204720553105,
                0.9968273175801821,
                0.9995694428603443,
                0.9968273170662069,
                0.999512142881163,
                0.9626731085061155,
                0.9770226318880316
            ],
            [
                0.9998601779593056,
                0.9706877694076373,
                0.9989677690431942,
                0.9994472213869057,
                0.9982992772739004,
                0.000379984526049873,
                0.9975273765872368,
                0.9914225156633923,
                0.9992903295343991,
                0.9525741295151718
            ],
            [
                0.9959298615328424,
                0.0008040858381214495,
                0.00037998452778547704,
                0.0009110513297692714,
                0.0005527787354883849,
                0.987568349604172,
                0.00020342704557963122,
                0.9740426449214477,
                0.9626731138606381,
                0.0024726231296436645
            ],
            [
                0.9997965731005827,
                0.9996646498127008,
                0.9998766054547225,
                0.9998766053665213,
                0.9992903296374726,
                0.9998601779430081,
                0.9997040430074533,
                0.9998415638025732,
                0.9999546021151737,
                0.9999251537728369
            ],
            [
                0.9980732648938591,
                0.998299277937423,
                0.9984988175151938,
                0.9975273764649153,
                0.9984988177362831,
                0.9994472213221391,
                0.9986749777215846,
                0.9968273177789977,
                0.9924227590157763,
                0.9890130586445224
            ],
            [
                0.9820137916499768,
                0.9964063970725968,
                0.9940889325173713,
                0.9770226302572356,
                0.9991959139640569,
                0.9940889307497311,
                0.8670357494949105,
                0.9940889309658977,
                0.9324533051062238,
                0.9890130566205294
            ],
            [
                0.979667647362278,
                0.9740426452511078,
                0.9324533060447605,
                0.8670357701094304,
                0.9840936084048121,
                0.9324533041676869,
                0.00017952798750806142,
                0.9770226284591782,
                0.9149009468718409,
                0.7310585727705126
            ],
            [
                0.957912274787803,
                0.9992903296188558,
                0.9989677688007063,
                0.9999151889182516,
                0.9796676465089335,
                0.9980732648849042,
                0.9996200154256185,
                0.9525741263175447,
                0.9989677689157079,
                0.9996200155152066
            ],
            [
                0.9241418199787564,
                0.970687768612669,
                0.00037998443778833633,
                0.6224593241981982,
                0.9902915235812035,
                0.9626731142622272,
                4.0063696957321844e-05,
                0.997527376373605,
                6.962257079465052e-06,
                0.9914225135804625
            ],
            [
                0.9990889489772076,
                0.9971990735498794,
                0.997199073598653,
                0.0008040860314534454,
                0.9990889489840422,
                0.9046505434556231,
                0.9982992772780512,
                0.9988304899064275,
                0.9796676455813852,
                0.00033535022934089387
            ],
            [
                0.9978172836712864,
                0.9953904277629374,
                0.9975273773538992,
                0.9959298613252072,
                0.00010889692200685404,
                0.990291525774919,
                0.0007096704412876647,
                0.9982992779206225,
                0.9980732655730785,
                0.9959298630995433
            ],
            [
                2.1444950969026795e-05,
                0.999738809597118,
                0.0009110510875362688,
                0.9997040427600956,
                0.9992903297087612,
                0.9986749773695837,
                0.999569443012441,
                0.9859363747000865,
                5.8291258534985854e-05,
                0.9740426407771471
            ],
            [
                0.0004878572336185507,
                0.9914225144912494,
                0.9875683474317223,
                0.9626731147976795,
                0.9241418168448761,
                0.9525741249711753,
                0.9975273763793479,
                0.9975273768864361,
                0.9875683473173829,
                0.9940889319755869
            ],
            [
                0.998830489873518,
                7.889266346746518e-06,
                0.9984988175206032,
                0.9820137940187299,
                0.8807970842359876,
                0.9978172836895419,
                0.9978172839304115,
                0.9770226321389233,
                0.9998601779258601,
                0.9875683470429681
            ],
            [
                0.9241418116217417,
                0.9399133512987252,
                0.0006263342189916594,
                0.8670357494949105,
                0.00037998448407478843,
                2.430023493052066e-05,
                0.9579122735862822,
                0.7549149813536518,
                1.3007125360146898e-05,
                2.144494073796001e-05
            ],
            [
                0.9989677690614407,
                0.9914225133032665,
                0.9947798753099619,
                0.9991959141474744,
                0.9984988179324191,
                0.9971990736435248,
                0.9324533097989076,
                0.9947798740646295,
                0.9933071476516734,
                0.9968273168187919
            ],
            [
                0.9959298617744541,
                0.9796676485495397,
                0.9706877665987492,
                0.9914225153228373,
                0.9924227602973954,
                0.9770226319298468,
                0.9525741286736911,
                0.9984988179779631,
                0.9940889312340536,
                0.9924227596250706
            ],
            [
                0.9933071498032147,
                0.9890130584117631,
                0.9953904279958274,
                0.9978172840059685,
                0.9984988177001619,
                0.9964063978045802,
                0.994779873537479,
                0.9978172834719985,
                0.9947798746643236,
                0.96267310957702
            ],
            [
                6.605213676488686e-05,
                0.9959298615781447,
                0.9990889487635847,
                0.9324533041676869,
                0.0004878572310072986,
                0.9997965729299204,
                0.9706877675527112,
                0.9990889488724095,
                0.9820137927356554,
                0.9953904281539361
            ],
            [
                7.484626290608339e-05,
                0.00029595723972359917,
                9.610241493174799e-05,
                4.006370648788271e-05,
                6.605212889714584e-05,
                1.6701417859944398e-05,
                0.0007096705368484199,
                0.0003799845731986105,
                8.481104126512805e-05,
                0.00033535002855775864
            ],
            [
                0.9995694428627117,
                0.9840936117286743,
                0.9986749775814004,
                0.9997388095977412,
                0.9975273773981186,
                0.9989677688116303,
                0.9996646497722788,
                0.9988304896439674,
                0.9998415637080582,
                0.9998204720342526
            ],
            [
                0.9982992778828707,
                0.9996646499700762,
                0.9902915215397046,
                0.9975273766136535,
                0.9875683490439087,
                0.9997040429372054,
                0.9964063976811934,
                0.0003353500679260348,
                0.000487857055372246,
                0.9579122752383734
            ],
            [
                0.9995694429111727,
                0.9989677690494364,
                0.9996200154252537,
                0.9988304898909246,
                0.998299277307304,
                0.9988304897477275,
                0.9991959142463385,
                0.9975273764919065,
                0.9978172834512076,
                0.9953904269659837
            ],
            [
                0.9999038975965325,
                0.9986749776821482,
                0.999664649850108,
                0.9997040429715629,
                0.9971990733118642,
                0.9993736657478164,
                0.9998415637265896,
                0.9990889489869031,
                0.9740426455807681,
                0.00043055703093467196
            ],
            [
                0.9998204719914653,
                0.9971990726400888,
                0.99592986303159,
                0.9964063969292014,
                0.9996200154713965,
                0.9984988178797207,
                0.9997040429015819,
                0.4073334000459302,
                0.00013982205692479778,
                0.020332352229600788
            ],
            [
                0.9924227595725452,
                0.9998911030648022,
                0.9995121427681696,
                0.9998601778759096,
                0.9997040430071777,
                0.9999485577679555,
                0.9997388096603245,
                0.9998415637076294,
                0.9997040430073586,
                0.9998766054692634
            ],
            [
                0.00029595713294796114,
                0.970687768665667,
                0.0005527787318545115,
                5.144220748250827e-05,
                0.0013250221303748428,
                0.9875683508390379,
                0.9149009561531425,
                0.0001795280301307974,
                0.9964063974235821,
                0.0005527786763495116
            ],
            [
                0.9706877719515359,
                0.9996646498109543,
                0.9959298617989928,
                0.0004878571074553553,
                0.9999038976193724,
                0.998674977383294,
                0.9968273171707692,
                0.9859363697541885,
                0.9991959142422231,
                0.8933094159957173
            ],
            [
                0.9991959140607231,
                0.9980732654020423,
                0.9982992779473056,
                0.9978172834598282,
                0.9914225158693093,
                0.9875683508733397,
                0.9525741226150287,
                0.9579122686300084,
                0.9989677689277123,
                0.8807970732843033
            ],
            [
                0.9986749778842597,
                0.9995121429434073,
                0.9986749774039365,
                0.9980732657324733,
                0.9859363735507788,
                0.999664649931147,
                0.990291525479439,
                0.9984988177549544,
                0.9971990730666954,
                0.9988304897761493
            ],
            [
                0.9947798745651806,
                0.9924227580528109,
                0.9991959139585853,
                0.9953904286581748,
                0.9465966700118571,
                0.9820137913209832,
                0.9999151889182126,
                0.001700722107444354,
                0.9997694932859279,
                4.5397868633071815e-05
            ],
            [
                0.00010889690904258862,
                0.8807970670261976,
                0.9149009491921664,
                0.00012339457474022007,
                0.8670357460591569,
                0.0008040860307987167,
                0.0059110693788743274,
                0.9940889324872723,
                0.00023050665919473792,
                0.9947798733416111
            ],
            [
                0.9940889309631614,
                0.9999756997592727,
                0.9997388096599749,
                0.9975273769392698,
                0.9999485578047429,
                0.9996200155596138,
                0.9968273179078596,
                0.9992903296195987,
                0.9996646497697713,
                0.9995694430129044
            ],
            [
                0.9997694932573558,
                0.9998415638208648,
                0.9995121428802264,
                0.9770226275810571,
                0.997527377306234,
                0.9980732651067588,
                0.9875683481977967,
                0.9990889489844661,
                0.9984988180613733,
                0.9999339478317094
            ],
            [
                0.9924227570548284,
                0.9890130571265277,
                0.9840936067720374,
                0.9465966713300878,
                0.9859363751262343,
                0.9968273171759237,
                0.966914018751051,
                0.9626731087738417,
                0.9959298617989928,
                0.0021827167962542647
            ],
            [
                0.8933094159957173,
                0.9525741322079104,
                0.9840936045561287,
                0.9399133468805266,
                0.00010889696088381469,
                0.001169510521668081,
                0.9968273176192087,
                9.610242627088607e-05,
                0.966914019585289,
                0.9924227572614284
            ],
            [
                0.997527376649259,
                0.0005527785364615002,
                0.9986749773755916,
                0.9579122735862823,
                0.9859363738090502,
                0.9840936114079507,
                0.9986749775220917,
                0.9968273166899299,
                0.9986749775126949,
                0.00020342702080143515
            ],
            [
                0.9992903296395365,
                0.9978172830531388,
                0.9971990736779914,
                0.9986749775339535,
                0.9914225157663509,
                0.9149009613738741,
                0.9980732654109971,
                0.9971990735472782,
                0.9992903297110316,
                0.9324533107374443
            ],
            [
                0.9995694429092438,
                0.9997040429361289,
                0.9997388096604688,
                0.9964063978896169,
                0.9993736658221795,
                0.9999599363221485,
                0.998830489886165,
                0.9998911030518745,
                0.999569442858503,
                0.9998204720767708
            ],
            [
                0.0011695102306501248,
                0.9875683507933021,
                0.9820137933607429,
                0.9991959139519445,
                0.9914225139843768,
                0.0013250224204481799,
                0.9953904278526748,
                0.9971990729606941,
                0.9995694429110724,
                0.9994472213858766
            ],
            [
                0.9820137906958956,
                0.9988304895774684,
                0.9465966683169887,
                0.9994472213881276,
                0.9997694932297292,
                0.9996646499306886,
                0.9995121427649623,
                0.999968798081189,
                0.9998601778927158,
                0.9999756997563752
            ],
            [
                0.0017007227897439768,
                0.9988304898649506,
                0.9984988177122023,
                0.9975273769306556,
                0.9975273766199707,
                0.9980732655856152,
                0.9914225139764569,
                0.9964063976311719,
                0.00015843625450556338,
                0.9988304898808614
            ],
            [
                0.9999785550592593,
                0.9999417087136211,
                0.992422759120827,
                0.999195914237827,
                0.9991959139573227,
                0.9996646498893982,
                0.997817283119061,
                0.9999546021367883,
                0.9953904281347068,
                0.9997040429708655
            ],
            [
                0.0013250224446337982,
                0.0003353501865870231,
                5.144223202577919e-05,
                0.9149009555730612,
                4.006370650260296e-05,
                0.00023050671389769165,
                3.5356250694926364e-05,
                1.4738985483879434e-05,
                0.00026119024610105974,
                0.9902915255600245
            ],
            [
                0.9996200154273983,
                0.9902915229275657,
                0.9525741303566527,
                0.9982992773709483,
                0.9988304896147295,
                0.9975273767463121,
                0.9991959141519173,
                0.9796676481043166,
                0.9840936068595074,
                0.9997388095982276
            ],
            [
                0.9980732654199519,
                0.9902915217277374,
                0.9968273173644303,
                0.997817284020167,
                0.9978172832245366,
                0.9971990723799626,
                0.9465966692585822,
                0.00012339463347873087,
                0.9984988180887695,
                0.9968273164896415
            ],
            [
                1.0129995809597604e-05,
                8.93969630333567e-06,
                9.610238042212629e-05,
                0.0001795280302300537,
                0.00026119030855500057,
                5.8291258551949844e-05,
                1.4738987242137685e-05,
                0.00010889696109138246,
                5.422217676866151e-06,
                1.0129988564430787e-05
            ],
            [
                0.9996646499300152,
                0.9999546021421996,
                0.999195914152572,
                0.9999485577740962,
                0.9999485577679585,
                0.9995694430120777,
                0.999447221385555,
                0.9988304895887555,
                0.9998415637076294,
                0.9953904280663354
            ],
            [
                0.999512142767091,
                0.9982992777087379,
                0.9998204720342526,
                0.9999038975392426,
                0.9964063970600915,
                0.9997040427604572,
                0.9984988177088868,
                0.9933071479550563,
                0.9997694931753952,
                0.9525741259809524
            ],
            [
                0.0017007226124488284,
                0.9978172834719985,
                0.9971990728033179,
                0.9984988177209272,
                0.9914225147209261,
                0.9933071497351083,
                0.9995694428601689,
                0.9820137900379085,
                0.9902915240915783,
                0.9796676487350494
            ],
            [
                0.9994472213907003,
                0.9971990729945105,
                0.9995121427649623,
                0.999704043007815,
                0.9986749775649172,
                0.9993736657491645,
                0.9968273176169997,
                0.9989677690724847,
                0.9982992777579537,
                0.9840936108831304
            ],
            [
                7.484621817833295e-05,
                0.0006263342516006409,
                0.9875683484493435,
                0.9980732653301803,
                0.9820137867150733,
                0.9914225141823739,
                0.0001233945744960449,
                0.999569443014846,
                0.0001233945600681646,
                4.006371126555232e-05
            ],
            [
                0.9995121428832917,
                0.9465966685053074,
                0.9940889308838091,
                0.9933071506297778,
                0.9740426400707322,
                0.995390428224444,
                0.9998601778762433,
                0.009708477251513106,
                0.9998601778760113,
                0.9992903295346467
            ],
            [
                0.9465966737782309,
                0.9989677691608366,
                0.9924227597091112,
                0.9968273164623964,
                0.9992903295343991,
                0.9953904270664042,
                0.9996200155145655,
                0.9959298627937535,
                0.9978172834512076,
                4.006370173105521e-05
            ],
            [
                0.9993736659799048,
                0.998967768946079,
                0.9991959138744995,
                0.9998766054105698,
                0.9996646500113862,
                0.9975273766728044,
                0.9992903295418293,
                0.9990889488833767,
                0.9997694932304335,
                0.9997694932033034
            ],
            [
                0.9875683465741762,
                0.9947798731191438,
                0.9964063979079583,
                0.9986749775136191,
                0.6224593382055109,
                0.9978172831327525,
                0.9959298620047403,
                0.996406398254775,
                0.9964063966073955,
                0.003593602966586753
            ],
            [
                2.4300232039788792e-05,
                6.6052152530647e-05,
                1.0129994601872894e-05,
                2.1444956079218013e-05,
                6.605217613436184e-05,
                6.605216017444941e-05,
                0.0010322309363984853,
                0.0007096702534272283,
                3.535623805163821e-05,
                1.8925145983795953e-05
            ],
            [
                0.9997694932577313,
                0.9997040428307913,
                0.9990889487668166,
                0.9996646500102446,
                0.9964063966815944,
                0.9940889312121634,
                0.9980732653514478,
                0.9924227571913945,
                0.0031726828608940427,
                0.9997965730270088
            ],
            [
                0.9706877706265886,
                1.6701423834591316e-05,
                0.984093607471798,
                0.9465966749081429,
                0.9770226274137959,
                0.970687766704745,
                2.144494585747154e-05,
                0.9149009491921664,
                0.9975273769220415,
                0.9626731105140616
            ],
            [
                0.9990889489970757,
                0.9770226318462163,
                0.9982992779079726,
                0.9324533093296392,
                0.9980732651625023,
                0.9999038975851299,
                0.9993736659773544,
                0.9933071476114287,
                0.9997040427952713,
                0.9990889487749759
            ],
            [
                0.0003353501082212021,
                0.9933071487351834,
                0.9995121428798573,
                0.001325022705746075,
                0.9984988177088868,
                0.9796676478075012,
                0.9149009555730611,
                0.9996646497309396,
                0.0006263340253781437,
                0.9980732652997342
            ],
            [
                5.829126551609642e-05,
                8.481106147345398e-05,
                1.3007131565140219e-05,
                0.00023050676911710389,
                0.0001088968960910006,
                0.000108896909056849,
                3.535626755428014e-05,
                4.5397884859458064e-05,
                0.0031726828940299794,
                0.0010322308660530223
            ],
            [
                0.9669140203003503,
                0.9933071476826308,
                0.9626731106479246,
                0.9984988175733016,
                0.9980732649695269,
                0.9995121429400864,
                0.8519528076067262,
                0.9978172838026237,
                0.9997965729307194,
                0.9964063974360875
            ],
            [
                0.9999151889183095,
                0.9982992775023879,
                0.999903897573676,
                0.999948557792504,
                0.9999832985781592,
                0.9997040429369297,
                0.9999898700114371,
                0.9998415637080029,
                0.9999485578047517,
                0.9986749778911919
            ],
            [
                0.00029595720410014213,
                0.00013982204057030355,
                9.610239200387222e-05,
                0.0015011825929951918,
                0.991422512986471,
                0.992422757436513,
                0.974042643226052,
                0.00020342694883754438,
                1.6701425824307884e-05,
                0.00015843627314529571
            ],
            [
                0.9933071481005562,
                0.9933071488218642,
                0.9990889488788732,
                0.00033535022760420067,
                0.9996200154242477,
                0.9995121427666085,
                0.000709670538375741,
                0.9988304897231133,
                0.999088949002056,
                0.9998766054399156
            ],
            [
                0.0046095729741912886,
                0.9859363748421358,
                0.9996646500102446,
                0.9997694932302121,
                0.9968273164049608,
                0.9989677690467954,
                0.9890130560436913,
                0.9626731118526922,
                0.9796676455442832,
                0.9947798752059827
            ],
            [
                0.9953904273591192,
                0.999903897596522,
                0.9964063975753144,
                0.9997040428650887,
                0.9996646499305715,
                0.9996646497313981,
                0.9998415637265365,
                0.9999485577863506,
                0.9993736658227624,
                0.9994472213197593
            ],
            [
                0.0005527787373857169,
                0.0004878572004953869,
                1.892515726099468e-05,
                8.481108161082634e-05,
                9.61024377673388e-05,
                9.610238051931088e-05,
                0.000261190370286989,
                2.7535704221626983e-05,
                6.605216820222096e-05,
                0.000552778605119175
            ],
            [
                0.9995121427682832,
                0.9997040427962616,
                0.9999038976081129,
                0.9992903294551022,
                0.9999251537460211,
                0.9998766054400504,
                0.9997388096916577,
                0.9999251537995719,
                0.9988304894864913,
                0.9996200155173292
            ],
            [
                0.9975273769691323,
                0.999373665973456,
                0.9940889299863074,
                0.9992903297038491,
                0.9982992772725169,
                0.00020342694848830573,
                0.9964063979079583,
                0.9241418199787564,
                0.0007096705288815834,
                0.9740426441679385
            ],
            [
                0.9995121428269795,
                0.9997040429731042,
                0.999948557792504,
                0.9999546021476009,
                0.9999251537639228,
                0.9999151889486434,
                0.9992903295410863,
                0.9997694933130513,
                0.9998601778926955,
                0.9999339478553779
            ],
            [
                0.00037998443763356907,
                0.924141814233309,
                0.0003799845731986105,
                7.484621824258834e-05,
                9.610239190878512e-05,
                0.9740426436969952,
                5.14422381473764e-05,
                0.880797068590724,
                0.002472623586195463,
                3.1201918796982014e-05
            ],
            [
                3.535624227425594e-05,
                7.484624496248661e-05,
                0.9706877700966098,
                0.8175744761936437,
                0.9933071496577147,
                0.8519527982093666,
                1.4738985484227961e-05,
                0.9947798731771789,
                0.8933094060543488,
                1.670141985166528e-05
            ],
            [
                0.9820137897418142,
                0.9953904286987703,
                0.9740426424254485,
                0.9820137942161259,
                0.9995121427662396,
                0.9924227576256043,
                0.9971990726290334,
                0.9991959140470205,
                0.9968273178548421,
                0.8807970873650401
            ],
            [
                0.9947798740090127,
                0.9988304897606466,
                0.9988304894939708,
                0.9980732651642932,
                0.9992903296265336,
                0.998498817741867,
                0.9993736659783382,
                0.990291525783873,
                0.9947798747707208,
                0.9988304894803717
            ],
            [
                0.9984988175633552,
                0.9940889321890172,
                0.9998601778761151,
                0.999738809753063,
                0.8933094103149355,
                0.9999151889687937,
                0.9971990728703003,
                0.9998601778927992,
                0.9998766054251287,
                0.9994472212554109
            ],
            [
                0.9770226316789552,
                0.9924227585325428,
                1.8925143726890553e-05,
                0.994779874954498,
                0.9840936118744578,
                0.9964063970225753,
                0.9796676456555891,
                0.9840936097751763,
                0.9669140219688265,
                0.9626731153331316
            ],
            [
                0.9999151889688598,
                0.9999038975965528,
                0.999088948771691,
                0.9978172834831546,
                0.9933071484906197,
                0.9998204720128943,
                0.9996646499715593,
                0.999447221395524,
                0.9875683516622819,
                0.9998204719697386
            ],
            [
                0.9992903294636469,
                0.9998204720344249,
                0.9998415638211253,
                0.9988304894689486,
                0.9994472213265769,
                0.9980732657562035,
                0.9924227570443234,
                0.9982992779558046,
                0.9997040428309721,
                0.9978172832681468
            ],
            [
                0.00010889693506777467,
                0.00026119027700124324,
                7.889259764079887e-06,
                0.00015843629202476965,
                1.8925148232267744e-05,
                0.0008040859159873784,
                0.0008040858364846282,
                0.00023050679725332104,
                0.00043055712852056976,
                1.0129995809044816e-05
            ],
            [
                0.9959298618631709,
                0.9940889298522294,
                0.0001233946333189397,
                0.998498817893855,
                0.9706877671287281,
                0.9525741286736911,
                8.48110208951453e-05,
                0.9964063967682986,
                0.9770226321807386,
                0.9991959139618122
            ],
            [
                0.9998601778760318,
                0.9998601778592866,
                0.9626731117188292,
                0.9986749775305644,
                0.9995121428807939,
                0.9984988177142963,
                0.9984988175413685,
                0.9997694933126624,
                0.9995121428823267,
                0.9998766054545571
            ],
            [
                0.8807970670261976,
                0.9579122702820998,
                1.6701429802769596e-05,
                0.9579122759893239,
                0.9324533149608596,
                0.000626334251017687,
                7.484621829540844e-05,
                4.006368257593249e-05,
                0.94659667246,
                0.0001795280299270608
            ],
            [
                0.9998415637080029,
                0.9996200155145655,
                0.9992903297006293,
                0.9996646499700762,
                0.9990889486727209,
                0.9875683485522491,
                0.9988304895899794,
                0.9996200154274757,
                0.9998415637455221,
                0.9990889489905589
            ],
            [
                0.998967769048356,
                0.9993736657464684,
                0.9999546021151239,
                0.9980732656017337,
                0.9991959139620928,
                0.9991959140492185,
                0.9996646498513665,
                0.9992903294548545,
                0.9990889486628662,
                0.999447221388417
            ],
            [
                0.9998601779094406,
                0.9998601779761789,
                0.998967769167079,
                0.9840936048768523,
                0.00048785717373005564,
                0.9991959142438132,
                0.9996200155619905,
                0.9998415637644016,
                0.9902915250586038,
                0.9940889299698896
            ],
            [
                0.9959298622406892,
                0.9840936077925215,
                0.9953904278740409,
                0.9706877666517472,
                0.999195914239043,
                0.9992903296283087,
                0.9995121428843703,
                0.9933071483729815,
                0.9991959139595674,
                0.9984988175272341
            ],
            [
                0.9953904288910648,
                0.9984988175130998,
                0.9975273763207713,
                0.9980732648797552,
                0.9840936067428807,
                0.8933094010836642,
                0.9975273767526291,
                0.0004305570859214607,
                0.0010322308099927338,
                1.670142183825232e-05
            ]
        ]
    },
    {
        "q_id": "10447_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999990577557433,
                0.9999998362623722,
                0.9999998874647574,
                0.9999997617629764,
                0.9999999006881141,
                0.999999694097846,
                0.9999997300420937,
                0.9999998362622357,
                0.9999987901338838,
                0.999999730042319
            ],
            [
                0.9999997897567341,
                0.9999990577549568,
                0.9999998724809875,
                0.9999998362622552,
                0.9999998874648245,
                0.9999998724810027,
                0.9999997300421904,
                0.9999998724809571,
                0.9999998724809875,
                0.9999996072136125
            ],
            [
                0.9999998362622942,
                0.999999887464744,
                0.9999996533675028,
                0.9999998874647977,
                0.9999999006880549,
                0.9999998555020134,
                0.9999993524051246,
                0.9999998362623137,
                0.9999998362623723,
                0.9999998362623528
            ],
            [
                0.9999996533672962,
                0.9999999317439383,
                0.9999986290427932,
                0.9999991684718733,
                0.9999998555019446,
                0.9999992661789321,
                0.9999952149032239,
                0.9999996072139402,
                0.9999996072139402,
                0.9999996940976636
            ],
            [
                2.9023133686360798e-06,
                1.5534981248330927e-06,
                3.288747889178668e-06,
                1.0677027427068966e-06,
                2.9023130228840374e-06,
                5.715005151485975e-07,
                4.785092782936557e-06,
                2.5612819053166966e-06,
                1.3709575336654889e-06,
                5.043476486058193e-07
            ],
            [
                0.9999999317440035,
                0.9999998724809571,
                0.9999998362623332,
                0.9999998362623137,
                0.9999998362623528,
                0.9999996533672962,
                0.9999998362622552,
                0.9999999123574942,
                0.9999999123575464,
                0.9999999123575151
            ],
            [
                0.9999997617631752,
                0.9999996940977366,
                0.9999998724809267,
                0.9999996072139402,
                0.9999998362622746,
                0.9999998874649318,
                0.9999999468421565,
                0.9999999397642365,
                0.9999998144608319,
                0.9999998555020307
            ],
            [
                0.9999999123575464,
                0.9999998874649184,
                0.9999999006879957,
                0.9999998144608983,
                0.9999997897565838,
                0.9999999123575151,
                0.9999998362623722,
                0.9999998362623332,
                0.9999999397642796,
                0.9999998874648112
            ],
            [
                0.999999789756634,
                0.9999996533673375,
                0.999999855501979,
                0.9999990577550691,
                0.9999999123575046,
                0.999999855502048,
                0.9999997897566089,
                0.9999994284996893,
                0.9999998362623137,
                0.9999997897566089
            ],
            [
                0.999997097686631,
                0.9999994284994848,
                0.9999997897566589,
                0.9999995549147889,
                0.9999994284997573,
                0.999999730042319,
                0.9999996940976636,
                0.9999987901343166,
                0.9999987901347491,
                0.9999993524054335
            ],
            [
                0.9999996940977366,
                0.999999912357515,
                0.9999998874648514,
                0.9999999006881496,
                0.9999999226557776,
                0.9999999123574941,
                0.9999999123574628,
                0.9999998362622357,
                0.9999998874647306,
                0.9999998362622943
            ],
            [
                0.9999962733616057,
                0.999999266178757,
                0.9999994956526519,
                0.9999982396574163,
                0.9999982396559475,
                0.9999952149049356,
                0.9999986290424663,
                0.9999945777823233,
                0.9999417087414608,
                0.9999952149037942
            ],
            [
                0.9999998874648112,
                0.9999998724808964,
                0.9999990577552939,
                0.9999999006879957,
                0.9999998555020306,
                0.9999998362622747,
                0.9999998144609202,
                0.9999997897566089,
                0.999999789756684,
                0.9999999226557684
            ],
            [
                0.9999997300422225,
                0.9999999123575359,
                0.9999999123575255,
                0.9999999006881259,
                0.9999998874648648,
                0.9999999123575778,
                0.9999998874647574,
                0.999999939764294,
                0.9999997897567342,
                0.999999946842163
            ],
            [
                0.9999996072136125,
                0.9999997897565838,
                0.9999996533672549,
                0.9999997617630616,
                0.999999912357515,
                0.9999996940978095,
                0.9999996533674202,
                0.9999999006881496,
                0.9999999715466731,
                0.9999997300421261
            ],
            [
                0.9999998724809419,
                0.9999999530883732,
                0.99999992265575,
                0.9999997897566589,
                0.9999998724809874,
                0.9999998724809267,
                0.9999998874647843,
                0.9999998874648379,
                0.9999998555019446,
                0.9999999123575672
            ],
            [
                0.9999997617631752,
                0.9999998362622357,
                0.9999999123574628,
                0.999999694097846,
                0.9999998555019962,
                0.9999998144608538,
                0.9999996940978825,
                0.9999990577550698,
                0.9999996533673375,
                0.9999998724809419
            ],
            [
                0.9999984465024306,
                0.9999997897565588,
                0.9999998874648379,
                0.9999999123575987,
                0.9999997300421581,
                0.9999999123575151,
                0.9999999006881259,
                0.9999997897565587,
                0.9999998555019962,
                0.9999995549150541
            ],
            [
                0.9999999530883732,
                0.9999998874648782,
                0.9999999226557869,
                0.9999997300421581,
                0.9999957771670596,
                0.999999428499553,
                0.9999991684718732,
                0.999999653367379,
                0.9999995549150011,
                0.9999998555019618
            ],
            [
                0.9999996072139402,
                0.9999998144609423,
                0.9999997300422547,
                0.9999997897567342,
                0.9999998555019962,
                0.9999993524054335,
                0.9999998362623528,
                0.999999814460876,
                0.9999998144608097,
                0.9999998362622746
            ],
            [
                0.9999999317439302,
                0.9999992661787571,
                0.9999999123574732,
                0.9999998724810027,
                0.9999998362623528,
                0.9999998362622357,
                0.9999996940977731,
                0.9999997897565587,
                0.9999999397642653,
                0.9999998874649051
            ],
            [
                0.9999999468421565,
                0.9999999317440197,
                0.9999999530883508,
                0.9999997300422225,
                0.9999997897567341,
                0.9999999317439546,
                0.9999997897565838,
                0.9999999006880904,
                0.9999997300422225,
                0.9999997617630332
            ],
            [
                0.9999998874648782,
                0.99999992265575,
                0.9999999123574628,
                0.9999999468421122,
                0.9999998555019446,
                0.999999495652652,
                0.9999997897566089,
                0.9999999123575359,
                0.9999998874647306,
                0.9999999226558053
            ],
            [
                0.9999997897565838,
                0.9999999123575672,
                0.9999998362623528,
                0.9999998874647843,
                0.999999900687972,
                0.9999998724809571,
                0.9999998362623332,
                0.9999999397642293,
                0.9999999006881023,
                0.9999999123575255
            ],
            [
                0.999999789756634,
                0.9999995549147358,
                0.9999998144609644,
                0.999999946842182,
                0.9999998874647709,
                0.9999998874647976,
                0.9999993524050474,
                0.9999999317439058,
                0.9999999006880904,
                0.9999996940977366
            ],
            [
                0.9999998144608097,
                0.9999994284995529,
                0.9999997897566589,
                0.9999998555020134,
                0.9999999123575255,
                0.9999984465018751,
                0.9999999006880549,
                0.9999999006880904,
                0.999999789756684,
                0.9999997897566589
            ],
            [
                2.1024334103352274e-07,
                2.382369667876999e-07,
                1.0677031245623505e-06,
                1.637377057673536e-07,
                2.2603248362013377e-06,
                1.2098658277181688e-06,
                8.315284241560147e-07,
                1.553498495295912e-06,
                1.2751910369275402e-07,
                2.2603237589542675e-06
            ],
            [
                0.9999998362623528,
                0.9999998874647574,
                0.9999996072137529,
                0.9999998555019962,
                0.99999976176309,
                0.9999997300421581,
                0.9999998555019446,
                0.9999997617631752,
                0.9999998362623138,
                0.9999996940976636
            ],
            [
                0.9999997300421581,
                0.9999998362623138,
                0.9999996940976271,
                0.9999998362622942,
                0.9999998362623528,
                0.9999998874647976,
                0.9999999123575151,
                0.9999999397643011,
                0.9999999586006295,
                NaN
            ],
            [
                0.9999999226558146,
                0.999999730042126,
                0.999999789756684,
                0.9999998362622552,
                0.9999999123574836,
                0.999999814460876,
                0.9999995549150542,
                0.9999998874647307,
                0.9999997617630899,
                0.9999994284996893
            ],
            [
                0.9999998874648245,
                0.9999998362622942,
                0.9999999123574628,
                0.9999997897566089,
                0.9999999226557776,
                0.9999998724809267,
                0.9999999006880075,
                0.9999998555019962,
                0.9999998874647709,
                0.9999999006880904
            ],
            [
                0.9999995549150011,
                0.9999991684720715,
                0.9999996072136592,
                0.9999977396762412,
                0.9999995549150011,
                0.9999785550490321,
                0.9999999226557684,
                0.9999989322973846,
                0.999999266179107,
                0.3486451217982255
            ],
            [
                0.9999999397642725,
                0.9999999123574419,
                0.9999999123575672,
                0.9999998362623138,
                0.9999999317439872,
                0.9999999397642365,
                0.9999999006881022,
                0.9999998362622746,
                0.9999999586006542,
                0.999999789756684
            ],
            [
                0.99999976176309,
                0.999999814460876,
                0.9999995549150542,
                0.9999997300421903,
                0.9999998555020135,
                0.9999995549150011,
                0.9999997617631184,
                0.9999997897565587,
                0.9999999123575987,
                0.9999998724809571
            ],
            [
                0.9999967112521109,
                0.9999910603047625,
                0.999998446502801,
                0.9999980052709919,
                0.9999930377420907,
                0.9999869928715381,
                0.9999251537550827,
                0.9999977396762413,
                0.9999952149043645,
                0.9999910603058293
            ],
            [
                0.9999997617629764,
                0.9999997897566089,
                0.9999996072137529,
                0.9999999006879721,
                0.9999996072137061,
                0.9999998362623332,
                0.9999996940978095,
                0.9999997617631183,
                0.9999998144609645,
                0.999999855502048
            ],
            [
                0.9999998555020135,
                0.999999730042319,
                0.9999998874648917,
                0.9999998874647709,
                0.9999997617630048,
                0.9999999226557961,
                0.9999999317439058,
                0.9999998362622746,
                0.9999999006880785,
                0.9999998724810027
            ],
            [
                0.9999998724809874,
                0.9999997897565587,
                0.9999997897566589,
                0.9999999006879838,
                0.9999994956524715,
                0.9999998724809723,
                0.9999999123575674,
                0.9999996072137061,
                0.9999998724809267,
                0.9999999006881022
            ],
            [
                0.9999999123575359,
                0.999999730042319,
                0.9999996072137529,
                0.9999996940976272,
                0.999999814460854,
                0.9999997617630899,
                0.9999996072137998,
                0.9999997617630049,
                0.9999997617629763,
                0.9999998144609645
            ],
            [
                0.6791787056691697,
                0.9980732655571837,
                0.9999945777829694,
                0.02297736840467539,
                0.5,
                0.9999687980737515,
                0.9999957771645418,
                0.9998601779593483,
                0.9999687980886298,
                0.7772998611746912
            ],
            [
                0.9999999677581336,
                0.9999998724809116,
                0.9999998555019618,
                0.999999789756684,
                0.999999814460854,
                0.9999998724809419,
                0.9999998724809723,
                0.9999998874648648,
                0.9999998362622943,
                0.9999997897567091
            ],
            [
                0.18242553269617778,
                0.9998766054546057,
                0.9998911030649053,
                0.9149009538328171,
                0.9995694429111727,
                0.9999599363125938,
                0.9999546021313669,
                0.999968798096118,
                0.9999810748495693,
                0.9999251537995403
            ],
            [
                0.9999992661786696,
                0.9999997617630048,
                0.9999999006881022,
                0.9999996533672549,
                0.9999962733616047,
                0.9999994284996211,
                0.9999952149032241,
                0.9999998362622357,
                0.9999999006881259,
                0.9999998362622746
            ],
            [
                0.9999999226558146,
                0.999999855501979,
                0.9999998362623528,
                0.9999997897566589,
                0.9999998874649051,
                0.9999999006880312,
                0.9999998724809571,
                0.9999998555019963,
                0.9999997300422225,
                0.9999998144608538
            ],
            [
                0.9996646499321911,
                0.9998766054546218,
                0.9999151889789185,
                0.9998415638400854,
                0.9996200155159252,
                0.9999546021313821,
                0.999925153799579,
                0.9996646499713251,
                0.9999038975622117,
                0.9997965730997274
            ],
            [
                0.9999417087205802,
                0.9991959140546434,
                0.9998911030388207,
                0.817574471748733,
                0.9994472214548558,
                0.9999869928668853,
                0.9998911031335024,
                0.6224593312018546,
                0.22270014398423357,
                0.8519528000888387
            ],
            [
                0.9999989322972572,
                0.9999993524052018,
                0.9999993524053563,
                0.9999996533672962,
                0.9999997897566589,
                0.9999994284996893,
                0.9999997617630332,
                0.9999998555019274,
                0.9999994956524716,
                0.9999992661792819
            ],
            [
                0.9999998144609423,
                0.9999997300422547,
                0.999999855502048,
                0.9999999006880549,
                0.9999999006880075,
                0.9999997300421261,
                0.9999997897567091,
                0.9999998362622357,
                0.9999998874649184,
                0.9999998144609202
            ],
            [
                0.9999999006881141,
                0.9999998724809419,
                0.999999855502048,
                0.9999997300421903,
                0.9999945777823233,
                0.9999998724809874,
                0.9999998362622552,
                0.9999996072139402,
                0.9999998362622552,
                0.99999992265575
            ],
            [
                0.9999999226557224,
                0.9999999226557316,
                0.9999999123575359,
                0.9999999226557869,
                0.9999998724809267,
                0.9999997300421581,
                0.9999999123575672,
                0.9999998874647574,
                0.9999998874647843,
                0.9999997617631752
            ],
            [
                0.9999999006880549,
                0.9999997897566589,
                0.999999814460854,
                0.9999999006881259,
                0.9999998724809723,
                0.9999998874648782,
                0.9999998555019274,
                0.9999996940976272,
                0.9999998555019791,
                0.9999999123575881
            ],
            [
                0.9999996533673375,
                0.9999994956525918,
                0.999999653367379,
                0.9999996940978095,
                0.9999995549147889,
                0.999999266179107,
                0.9999995549150542,
                0.9999994284994167,
                0.999999789756634,
                0.9999977396748939
            ],
            [
                0.9999998874649184,
                0.9999998144609645,
                0.9999998362622747,
                0.9999999226558053,
                0.9999997300422869,
                0.9999998724809723,
                0.9999998555019619,
                0.9999998144608319,
                0.999999855501979,
                0.7549149978955811
            ],
            [
                0.999999730042126,
                0.9999989322970027,
                0.9999996940976272,
                0.9999997617630049,
                0.9999998144609202,
                0.9999998362623332,
                0.9999994284992805,
                0.9999997300422225,
                0.9999997300422225,
                0.999999855502048
            ],
            [
                0.999999855502048,
                0.9999992661790196,
                0.9999999123575882,
                0.9999999006880312,
                0.9999998874647843,
                0.9999999123575359,
                0.9999998724809723,
                0.9999999397643083,
                0.9999997897565587,
                0.999999939764294
            ],
            [
                0.9999999123575672,
                0.9999992661786696,
                0.9999999123574732,
                0.9999997897566589,
                0.9999999123575881,
                0.9999998555020135,
                0.9999987901338838,
                0.9999998555019274,
                0.999999887464744,
                0.9999998874647307
            ],
            [
                0.9999998362623137,
                0.9999990577549568,
                0.9999998724810027,
                0.999999855502048,
                0.9999996940977002,
                0.9999999226557684,
                0.9999997300422869,
                0.9999998362622357,
                0.9999997897566589,
                0.9999994284996211
            ],
            [
                0.9999998144608317,
                0.9999998724809571,
                0.9999998874647977,
                0.9999998362623528,
                0.9999998144608097,
                0.999999730042126,
                0.9999998362622943,
                0.999999900688043,
                0.9999998724809875,
                0.9999996533672549
            ],
            [
                0.9996200154694398,
                0.9990889488772838,
                0.9989677689147477,
                0.9993736659002589,
                0.9971990733346251,
                0.2942149659744614,
                0.9959298626540718,
                0.9840936059264933,
                0.993307148945694,
                0.9991959139551246
            ],
            [
                0.9999997617630332,
                0.999999887464744,
                0.999999789756634,
                0.9999996940976272,
                0.9999999317439953,
                0.9999999123574836,
                0.9999999317439383,
                0.9999998362623137,
                0.999999912357515,
                0.9999998874648379
            ],
            [
                0.999994577780384,
                0.9999977396765116,
                0.999999352404893,
                0.7981867825403177,
                0.9999977396757023,
                0.9999984465015047,
                0.9999970976866309,
                0.9999990577554061,
                0.9999756997621647,
                0.999985261016273
            ],
            [
                0.9999996940978095,
                0.9999998144609202,
                0.9999997617629764,
                0.9999996533674614,
                0.9999998144609645,
                0.9999997897567091,
                0.9999997300422225,
                0.9999997617631468,
                0.9999998362623722,
                0.999999694097773
            ],
            [
                0.9999998724809874,
                0.9999998362622552,
                0.9999999123575777,
                0.9999998724808964,
                0.9999997617630332,
                0.999999855502048,
                0.9999998874649318,
                0.9999994284996893,
                0.9999998362622747,
                0.999999900688043
            ],
            [
                0.9999998362623723,
                0.9999998555020134,
                0.999999939764258,
                0.9999999006880785,
                0.9999998724808964,
                0.9999998874647574,
                0.99999976176309,
                0.9999997897567342,
                0.9999999123574628,
                0.9999997897567342
            ],
            [
                5.422218323093458e-06,
                4.78509278207486e-06,
                1.553498495189945e-06,
                1.0129992185981682e-05,
                2.5612831266608576e-06,
                6.475950297644816e-07,
                2.5612812944118885e-06,
                4.785093353352668e-06,
                8.315280276505193e-07,
                6.962253758017727e-06
            ],
            [
                0.9999997897566089,
                0.9999996072136125,
                0.9999998362622552,
                0.9999998724810027,
                0.9999998362623332,
                0.9999998144608317,
                0.9999997897566089,
                0.9999998144609423,
                0.9999999006880549,
                0.9999996072137529
            ],
            [
                0.9999998362622746,
                0.9999998362622357,
                0.9999998724808964,
                0.9999997617631752,
                0.9999982396559474,
                0.9999998144609424,
                0.9999998555020307,
                0.9999998874648648,
                0.9999999006881259,
                0.9999998874647306
            ],
            [
                0.9999999317439546,
                0.9999998874647977,
                0.9999999397642437,
                0.9999999468421186,
                0.9999999006880075,
                0.9999999530883508,
                0.9999999226557869,
                0.9999999397642222,
                0.9999999006880312,
                0.999999789756659
            ],
            [
                0.999999730042319,
                0.9999992661786696,
                0.9999990577551815,
                0.9999994284992805,
                0.9999984465016898,
                0.9999990577555185,
                0.999954602115126,
                0.9999993524050474,
                0.999999352405279,
                0.9999994284996891
            ],
            [
                0.9999998362623528,
                0.9999998362622552,
                0.999999814460876,
                0.9999996533674615,
                0.9999998555019962,
                0.9999998555020307,
                0.999999814460854,
                0.9999999317440197,
                0.9999999006881022,
                0.9999998555019274
            ],
            [
                0.9999998555019446,
                0.999999554914895,
                0.9999996072138465,
                0.9999995549147889,
                0.9999992661788446,
                0.9999990577550693,
                0.999999855502048,
                0.9999997300422869,
                0.9999998144609423,
                0.9999994956525918
            ],
            [
                7.33821067986608e-07,
                2.382369383878655e-07,
                1.0677026154551157e-06,
                5.04347348075149e-07,
                1.6373774480404828e-07,
                1.8553910183548312e-07,
                2.10243265841519e-07,
                3.0590237278532086e-07,
                2.5612828213352452e-06,
                1.8553912395338048e-07
            ],
            [
                0.9997965730028551,
                0.9999980052695652,
                0.9999339478553524,
                0.5621765008857982,
                0.999933947863301,
                0.9999687980997901,
                0.22270013882530887,
                0.9999970976876689,
                0.9999485577986705,
                0.880797081106935
            ],
            [
                1.855391681883394e-07,
                1.3709567165530083e-06,
                1.994730434778778e-06,
                7.338208930421943e-07,
                1.5534973841592143e-06,
                9.422450431912e-07,
                3.9278624708775595e-07,
                6.475949525878687e-07,
                1.1253514863909295e-07,
                2.6995777745466066e-07
            ],
            [
                0.9999998724809267,
                0.9999998362623332,
                0.999999814460854,
                0.9999998724810027,
                0.9999998362622552,
                0.9999999006881496,
                0.9999998874648782,
                0.9999999317440035,
                0.9999997897566089,
                0.9999998724809723
            ],
            [
                0.9999996940977002,
                0.9999996533672135,
                0.9999996072137998,
                0.9999998874648379,
                0.9999998144608098,
                0.9999997300421903,
                0.9999997300421903,
                0.9999997617631752,
                0.999999653367379,
                0.999999266178757
            ],
            [
                0.9999998724809723,
                0.9999999468421186,
                0.9999999317439058,
                0.9999999317439383,
                0.9999998144608538,
                0.9999998362622747,
                0.9999999397642725,
                0.9999999006879721,
                0.9999999006880312,
                0.9999998724809571
            ],
            [
                0.9999996940976636,
                0.9999998874649051,
                0.9999999123575359,
                0.999999887464811,
                0.9999998724810027,
                0.9999997897567342,
                0.9999998724809571,
                0.9999998555020307,
                0.9999999006881022,
                0.9999999317440279
            ],
            [
                0.999999855501979,
                0.9999998362622747,
                0.9999994284994167,
                0.9999996940978825,
                0.9999999006879957,
                0.9999997617631752,
                0.9999999123574419,
                0.9999998144608981,
                0.9999998874648781,
                0.9999997897565838
            ],
            [
                0.9999998724809419,
                0.99999992265575,
                0.9999999317440279,
                0.9999998144608097,
                0.9999998362623138,
                0.999999789756684,
                0.9999998144608317,
                0.9999998724809723,
                0.9999998362623332,
                0.9999999397642437
            ],
            [
                0.9999995549150542,
                0.9999997897566089,
                0.9999996533674615,
                0.999999789756634,
                0.9999998874648246,
                0.999999789756684,
                0.9999997617631469,
                0.9999992661790195,
                0.9999998874647306,
                0.9999997897566589
            ],
            [
                0.9999998874647976,
                0.999999789756634,
                0.9999998724809875,
                0.9999998144608538,
                0.9999998724809115,
                0.9999999317439221,
                0.9999999226558145,
                0.9999999123575777,
                0.9999997897566089,
                0.9999999397642078
            ],
            [
                9.422442569208767e-07,
                3.466325797827604e-07,
                7.338210679909462e-07,
                1.2098659719122375e-06,
                1.473898724181597e-05,
                2.26032537546132e-06,
                6.144176798870286e-06,
                1.147877222879974e-05,
                4.2228319339950885e-06,
                8.315278293899016e-07
            ],
            [
                0.9999999006879838,
                0.9999999123574419,
                0.9999998555019618,
                0.9999967112505427,
                0.9999998362622357,
                0.9999997897567342,
                0.9999997897565587,
                0.999999855501979,
                0.9999995549149481,
                0.9999997617631468
            ],
            [
                0.9999998144609645,
                0.9999997897565587,
                0.9999999530883452,
                0.9999998555019962,
                0.9999999586006443,
                0.9999996940978825,
                0.9999998555020134,
                0.9999996940977002,
                0.9999997300422225,
                0.9999998724809419
            ],
            [
                0.9999999123575464,
                0.9999999226558053,
                0.9999998724809875,
                0.9999997617630899,
                0.9999999397642437,
                0.9999999123575046,
                0.9999999317439464,
                0.999999694097846,
                0.9999998144608319,
                0.9999998362623528
            ],
            [
                0.9999998724809723,
                0.9999997617630616,
                0.9999998555019618,
                0.9999996940976271,
                0.9999998362622942,
                0.9999998874647306,
                0.9999996533675028,
                0.9999998555019274,
                0.9999998144609645,
                0.9999998724809875
            ],
            [
                0.9999930377429207,
                0.9999974387168734,
                0.9999994956526519,
                0.9999994956523514,
                0.9999987901344608,
                0.9999986290421394,
                0.999993855826132,
                0.9999986290426297,
                0.9999986290426298,
                0.8933094174159129
            ],
            [
                0.9999998144609645,
                0.9999998555019446,
                0.9999997897565838,
                0.9999998362622357,
                0.9999998144608981,
                0.9999998362623332,
                0.9999999006881377,
                0.9999998144608317,
                0.999999789756634,
                0.9999998144608983
            ],
            [
                0.9999998724808964,
                0.9999996072138934,
                0.9999999317439464,
                0.999999855502048,
                0.9999999123574628,
                0.9999996072136592,
                0.999999855501979,
                0.9999997617631752,
                0.999999168471675,
                0.9999991684718732
            ],
            [
                0.9999998362622747,
                0.9999998362623528,
                0.9999998144608317,
                0.9999998362623332,
                0.9999998362622552,
                0.9999999123574941,
                0.9999999006881496,
                0.999999814460876,
                0.9999997897567091,
                0.9999998874647574
            ],
            [
                7.889261643382609e-06,
                1.3007123812980299e-05,
                4.222831934321543e-06,
                4.4508526417014975e-07,
                1.9947299592570416e-06,
                6.144173137014406e-06,
                6.962253759752719e-06,
                8.939700566143004e-06,
                1.0129990978441666e-05,
                5.8291251564902706e-05
            ],
            [
                0.9740426455807681,
                0.6224593312018545,
                1.760343422928825e-06,
                0.9968273166273398,
                0.9989677689277123,
                3.2887494571676872e-06,
                0.7549149868676283,
                0.9992903296210848,
                0.9999485577986293,
                0.9046505376715775
            ],
            [
                0.9999996072136125,
                0.9999997300421581,
                0.9999997617629763,
                0.9999998144609202,
                0.9999989322975118,
                0.9999984465018751,
                0.999999887464905,
                0.9999999123574836,
                0.9999996940978095,
                0.9999998144609202
            ],
            [
                0.9999756997481051,
                0.9998601779261247,
                0.1329642419157059,
                0.9999251537391288,
                0.8519527944504227,
                0.9997965730752333,
                0.9997694933673787,
                0.4687906266262437,
                0.46879062662624377,
                0.9999646437535129
            ],
            [
                0.9999485578048176,
                0.9999687980737645,
                0.10669058968506456,
                0.9999417087275282,
                0.9999921107374157,
                0.9999038976194708,
                0.9999869928715361,
                0.9999832985801596,
                0.9999810748585286,
                0.9999485577802837
            ],
            [
                0.9999992661791944,
                0.9999991684719723,
                0.9999945777823233,
                0.999999266179107,
                0.9999982396567867,
                0.9840936108831304,
                0.9999952149049364,
                0.9999980052695653,
                0.9999987901341723,
                0.999999352405279
            ],
            [
                0.9999997300422225,
                0.9999998874649318,
                0.9999998724810027,
                0.9999998144609424,
                0.9999997617631752,
                0.9999995549147889,
                0.9999998724809419,
                0.9999998555019274,
                0.9999998362622942,
                0.9999998874649184
            ],
            [
                0.9999945777829699,
                0.9999992661786695,
                0.9999990577555185,
                0.9999957771665557,
                0.9999996072137998,
                0.999999694097846,
                0.9999957771650453,
                0.9999994956523514,
                0.9999993524050474,
                0.9999996940977366
            ],
            [
                0.9999998724809115,
                0.9999998144609202,
                0.9999996940976272,
                0.9999998555019618,
                0.9999999006879721,
                0.9999998874649184,
                0.9999998555019446,
                0.9999998724810027,
                0.9999997897567091,
                0.9999998874649318
            ],
            [
                0.9999997897566338,
                0.9999998724809723,
                0.9999999006879721,
                0.9999999006881377,
                0.9999998874648379,
                0.9999998362623528,
                0.9999999006879721,
                0.9999998555020135,
                0.9999998555019446,
                0.9999999006880194
            ],
            [
                0.9999997897565838,
                0.9999997897565838,
                0.9999999123574941,
                0.9999999123574836,
                0.9999996533672963,
                0.9999997617631752,
                0.9999998362622552,
                0.9999999226558146,
                0.999999855501979,
                0.9999999006879838
            ],
            [
                0.9999996940976271,
                0.9999998874648915,
                0.999999730042126,
                0.9999998724809419,
                0.9999997897567341,
                0.9999999006880785,
                0.999999855501979,
                0.9999998874649184,
                0.9999996940976638,
                0.9999998724809723
            ],
            [
                0.9999832985721853,
                0.9999977396757022,
                0.9999974387168733,
                0.999997097686631,
                0.9999930377437514,
                0.9999984465020603,
                0.6513548782017745,
                0.9999994956524115,
                0.9999980052695652,
                0.9999977396757023
            ],
            [
                0.9999999397642437,
                0.9999999317439954,
                0.9999999226557592,
                0.9999999006880904,
                0.9999999397642365,
                0.9999999317439954,
                0.9999999468421249,
                0.9999998724809267,
                0.9999999226557961,
                0.9999999317439384
            ],
            [
                2.5612822106421996e-06,
                2.902313022802209e-06,
                3.9278629385524505e-07,
                6.475947208890467e-07,
                7.338207180287456e-07,
                9.422445938642879e-07,
                7.33820892991805e-07,
                6.475951069755593e-07,
                1.7603427933917854e-06,
                3.2887494572873306e-06
            ],
            [
                0.9999485577618298,
                0.9999646437535114,
                0.9999687980997966,
                0.9999885212305093,
                0.06008664954283641,
                0.999989870010228,
                0.9999756997563796,
                0.9999945777816772,
                0.9820137929330514,
                0.5312093733737563
            ],
            [
                0.9999998144608319,
                0.9999996072138934,
                0.9999999123574628,
                0.9999998724808964,
                0.9999998724809723,
                0.9999999226557592,
                0.9999996533675028,
                0.9999997897567342,
                0.9999999006879838,
                0.9999998724809571
            ],
            [
                0.9999998874648112,
                0.9999998362623722,
                0.9999997617630332,
                0.9999999397642437,
                0.999999814460854,
                0.999999855502048,
                0.9999998724810027,
                0.9999999317440116,
                0.9999994956523514,
                0.9999998724810026
            ],
            [
                0.9999998724810027,
                0.9999998362622552,
                0.9999997300421903,
                0.9999998144608538,
                0.9999998874649318,
                0.9999998874648917,
                0.9999995549148419,
                0.9999999226557408,
                0.9999996940976636,
                0.9999995549148419
            ],
            [
                0.9999485577802407,
                0.9999339478511452,
                0.9999646437619467,
                0.9999038976194108,
                0.9997040429714769,
                0.9998766054549163,
                0.5621765008857981,
                0.9999339478632615,
                0.9998601779261898,
                0.13296423847995262
            ],
            [
                3.28875024125221e-06,
                7.338209804773549e-07,
                2.902313022984344e-06,
                2.5612822107167428e-06,
                1.5534983100765009e-06,
                4.785096205260165e-06,
                1.3709578605355551e-06,
                6.475950297906914e-07,
                1.0677029973056687e-06,
                1.7603432132912532e-06
            ],
            [
                0.999999352405279,
                0.9999998362622357,
                0.9999997897566089,
                0.9999999006879721,
                0.9999998555019618,
                0.9999998362623528,
                0.9999996940976271,
                0.9999998144608981,
                0.999999887464744,
                0.9999997617631183
            ],
            [
                0.9999998874647306,
                0.9999998144608538,
                0.9999997897565838,
                0.9999996940976272,
                0.999996273362049,
                0.9999999006881259,
                0.9999999397642796,
                0.9999998555020307,
                0.9999996940978095,
                0.9999998874648246
            ],
            [
                0.999999855502048,
                0.999999814460854,
                0.9999996940976636,
                0.9999998144608317,
                0.999999495652712,
                0.9999998724809419,
                0.999999855502048,
                0.9999998362622747,
                0.9999987901341723,
                0.9999998874648917
            ],
            [
                0.9999998874648514,
                0.9999998874649051,
                0.9999997617629764,
                0.9999998874647574,
                0.9999997617629764,
                0.9999999317439546,
                0.9999998724810027,
                0.9999999397642508,
                0.9999997617631183,
                0.9999999397642365
            ],
            [
                0.9999997300422547,
                0.9999997897566589,
                0.9999998362623723,
                0.999999730042319,
                0.9999996072136125,
                0.9999998724809723,
                0.9999998724809267,
                0.9999996940978461,
                0.9999998874647574,
                0.9999998555020307
            ],
            [
                0.999999789756684,
                0.9999992661790195,
                0.9999998874649184,
                0.9999998362622942,
                0.9999996533673375,
                0.9999996072138934,
                0.9999990577555185,
                0.999999814460876,
                0.9999994956524716,
                0.9999996072139402
            ],
            [
                1.5534977545384963e-06,
                5.715006514105942e-07,
                4.785095065045315e-06,
                9.422445938797133e-07,
                6.144177531007026e-06,
                NaN,
                3.7266397282926013e-06,
                4.785093353352668e-06,
                1.0677026154619133e-06,
                1.5534971988904843e-06
            ],
            [
                0.9999998362623722,
                0.9999998144609202,
                0.9999998362623723,
                0.9999998362622746,
                0.9999998874648112,
                0.9999998144609202,
                0.9999998724810027,
                0.9999998724809723,
                0.999999855502048,
                0.9999999226557408
            ],
            [
                0.9999999226558238,
                0.9999998555019619,
                0.9999999006881259,
                0.9999999226557684,
                0.9999999123574523,
                0.9999999123575881,
                0.9999998874648648,
                0.9999999006880785,
                0.999999814460876,
                0.9999998724809116
            ],
            [
                0.9999997300422225,
                0.9999996940977731,
                0.999999789756634,
                0.9999997300422225,
                0.9999999006880194,
                0.999999168471675,
                0.9999974387187057,
                0.9999998555019446,
                0.9999997617631469,
                0.9999998144608317
            ],
            [
                0.9999998144609645,
                0.9999999123575568,
                0.9999997897567091,
                0.9999998555019274,
                0.9999996533674201,
                0.9999998362623332,
                0.9999999006880194,
                0.9999999006880549,
                0.999999931743971,
                0.9999999123575045
            ],
            [
                0.9999998555020306,
                0.9999998874649318,
                0.9999998144608319,
                0.9999998362622357,
                0.9999997897567091,
                0.9999999226557869,
                0.9999998555020307,
                0.9999998874647709,
                0.9999998362622357,
                0.9999998874647574
            ],
            [
                0.9999990577551818,
                0.9999994956525317,
                0.9999987901346049,
                0.9999998362623332,
                0.9999997300422225,
                0.9999999006880075,
                0.9999998362622943,
                0.9999996072137529,
                0.999999789756684,
                0.9999998555019618
            ],
            [
                0.9999998874647977,
                0.9999998362622357,
                0.9999999123575464,
                0.9999999006880075,
                0.9999998555019791,
                0.9999999006879838,
                0.9999997300420939,
                0.9999996533673375,
                0.9999998144608981,
                0.9999998874648112
            ],
            [
                0.9999998874648514,
                0.9999998144608981,
                0.9999996072137529,
                0.9999997617631752,
                0.9999998144609645,
                0.9999997897567091,
                0.9999996533673375,
                0.9999998724809723,
                0.9999996072136592,
                0.9999996940977366
            ],
            [
                0.9999998144608319,
                0.9999998724809723,
                0.9999998874649318,
                0.999999814460854,
                0.999999953088362,
                0.9999998144609202,
                0.9999998362622552,
                0.9999997897566338,
                0.999999814460876,
                0.9999998144608981
            ]
        ]
    },
    {
        "q_id": "10725_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999999814460854,
                0.9999986290426298,
                0.9999994284995529,
                0.9999995549147358,
                0.9999996072137998,
                0.9999992661790195,
                0.9999994284994167,
                0.9999995549150011,
                0.9999994284996211,
                0.9999991684720715
            ],
            [
                0.9999991684722698,
                0.999999168471675,
                0.9999992661788446,
                0.9999995549150542,
                0.9999990577551814,
                0.9999994284994848,
                0.9999990577554062,
                0.9999992661786696,
                0.999999495652712,
                0.9999980052695653
            ],
            [
                0.9999993524051246,
                0.9999992661790195,
                0.9999995549150542,
                0.9999996940977002,
                0.9999994956524114,
                0.9999990577555185,
                0.9999993524050474,
                0.9999996940976636,
                0.9999997300422225,
                0.9999996072138934
            ],
            [
                1.760342793515064e-06,
                5.422220908481809e-06,
                1.760342793515064e-06,
                1.994730434816876e-06,
                3.726639283901856e-06,
                5.422217676101776e-06,
                6.9622537584863015e-06,
                2.5612815996464693e-06,
                3.726640616630245e-06,
                3.726640172120768e-06
            ],
            [
                0.999999352404893,
                0.9999996072138465,
                0.9999992661788446,
                0.9999982396559476,
                0.999999653367379,
                0.9999992661792819,
                0.9999996533673788,
                0.9999993524049702,
                0.9999986290431201,
                0.9999996072139402
            ],
            [
                3.288749849368453e-06,
                2.2603234893861252e-06,
                1.5534981248528732e-06,
                4.450852111100568e-07,
                5.715003107619008e-07,
                5.043476486764593e-07,
                6.962253759157502e-06,
                6.144172403715875e-06,
                4.222834954514924e-06,
                2.561282210618905e-06
            ],
            [
                0.999998790134605,
                0.9999989322975118,
                0.9999996533672962,
                0.9999992661792819,
                0.9999995549150011,
                0.9999992661786695,
                0.9999991684716749,
                0.9999994284997574,
                0.9999996533674615,
                0.9999991684717742
            ],
            [
                0.999997097686977,
                0.9999980052700408,
                0.9999986290429566,
                0.9999993524049703,
                0.9999990577549568,
                0.9999994284996212,
                0.9999987901343165,
                0.9999984465020603,
                0.9999994956525317,
                0.9999996533672962
            ],
            [
                0.9999998874648379,
                0.9999989322966208,
                0.9999991684718733,
                0.999999814460876,
                0.9999993524052018,
                0.9999991684718732,
                0.9999993524051246,
                0.9999994956523512,
                0.999999789756684,
                0.9999998555020134
            ],
            [
                0.9999998362623332,
                0.9999997897565838,
                0.9999986290424664,
                0.9999992661791945,
                0.9999996940977366,
                0.999999694097773,
                0.9999996533674615,
                0.9999996533672135,
                0.9999991684721706,
                0.9999997300421903
            ],
            [
                0.9999984465018751,
                0.9999994284994167,
                0.9999994284996211,
                0.9999986290424664,
                0.9999993524051246,
                0.999999653367503,
                0.9999994284992805,
                0.9999991684722698,
                0.9999994956525318,
                0.9999994284993485
            ],
            [
                0.9999989322975118,
                0.9999994956527721,
                0.999999694097846,
                0.9999994956524114,
                0.9999996533672549,
                0.9999992661790196,
                0.999999653367379,
                0.9999991684720715,
                0.999999814460876,
                0.9999989322975118
            ],
            [
                0.9999996072137061,
                0.9999990577551815,
                0.9999994284992804,
                0.9999998144608317,
                0.9999990577552939,
                0.9999991684715759,
                0.9999992661787571,
                0.9999991684719723,
                0.9999996072136593,
                0.9999996533672962
            ],
            [
                0.9999996072138465,
                0.9999993524049702,
                0.9999996940977366,
                0.9999990577552937,
                0.9999994956525918,
                0.9999992661789321,
                0.9999992661786695,
                0.9999996940978825,
                0.9999993524051246,
                0.9999997617631184
            ],
            [
                0.9999992661790196,
                0.999999554914895,
                0.9999991684717742,
                0.9999994284996211,
                0.9999993524052018,
                0.999999266178932,
                0.999998790134605,
                0.9999989322970028,
                0.9999990577555185,
                0.9999994956523514
            ],
            [
                0.9999998555019963,
                0.9999996940976636,
                0.9999986290423029,
                0.9999995549151073,
                0.9999991684717741,
                0.9999996533672962,
                0.999999730042126,
                0.9999991684720715,
                0.9999992661788445,
                0.9999994284997574
            ],
            [
                0.9999994956527721,
                0.9999996940977002,
                0.999999653367503,
                0.9999996072136592,
                0.9999997897567342,
                0.9999989322975118,
                0.9999991684720715,
                0.9999995549150541,
                0.999999266178757,
                0.9999986290432835
            ],
            [
                0.9999990577555186,
                0.9999996533672549,
                0.99999893229713,
                0.9999994956527721,
                0.9999994284997573,
                0.999999554914895,
                0.9999984465022455,
                0.9999989322975118,
                0.9999990577554062,
                0.9999994284992805
            ],
            [
                0.9999994956523514,
                0.9999996072137529,
                0.9999994284993486,
                0.9999994284995529,
                0.999999428499553,
                0.9999994956527721,
                0.9999994956527721,
                0.9999986290432835,
                0.9999994956524715,
                0.9999992661791945
            ],
            [
                0.9999993524050474,
                0.9999997897565838,
                0.9999992661788446,
                0.9999996072136125,
                0.999999554914895,
                0.9999991684718732,
                0.9999994284994849,
                0.9999994956525917,
                0.999999057755743,
                0.9999996533672549
            ],
            [
                0.9999994284996211,
                0.999999653367379,
                0.9999993524050473,
                0.999999730042319,
                0.9999997300421904,
                0.9999995549147889,
                0.9999993524052019,
                0.999999694097773,
                0.9999996533674202,
                0.9999994956523514
            ],
            [
                0.9999977396757023,
                0.9999997300422869,
                0.9999990577549569,
                0.9999993524052019,
                0.999998932297003,
                0.9999991684715759,
                0.9999993524051246,
                0.9999996072137061,
                0.9999996940976638,
                0.9999994284994168
            ],
            [
                0.9999993524054335,
                0.9999994956524716,
                0.9999998144609202,
                0.9999997300422225,
                0.9999994284996211,
                0.9999994284993486,
                0.9999995549150542,
                0.9999994956527121,
                0.999998446502801,
                0.9999989322970027
            ],
            [
                0.9999994956525317,
                0.9999996940977366,
                0.999999653367503,
                0.9999996072138934,
                0.9999990577549568,
                0.999999653367379,
                0.9999995549150542,
                0.9999991684719723,
                0.9999994284995529,
                0.9999994284992805
            ],
            [
                0.9999994956527721,
                0.9999992661788446,
                0.9999996072136592,
                0.9999992661787571,
                0.9999977396754327,
                0.9999990577550691,
                0.9999986290426297,
                0.9999989322967482,
                0.9999993524049703,
                0.9999987901338839
            ],
            [
                0.9999987901338838,
                0.9999996940978825,
                0.9999993524050474,
                0.999999352404893,
                0.9999992661792819,
                0.9999994956524115,
                0.9999991684721706,
                0.999998005269803,
                0.9999995549147358,
                0.9999992661792819
            ],
            [
                0.9999997617631184,
                0.9999997617631753,
                0.9999994284996893,
                0.9999995549147889,
                0.9999996533674202,
                0.9999984465016899,
                0.9999996533674202,
                0.9999991684720715,
                0.9999997300422225,
                0.9999994284996891
            ],
            [
                0.9999986290429567,
                0.9999996072136592,
                0.9999995549147889,
                0.9999997897566589,
                0.9999994956524115,
                0.9999994956525918,
                0.9999996940976272,
                0.9999996072137529,
                0.9999998555019446,
                0.9999996533672135
            ],
            [
                0.9999994956524114,
                0.9999991684718733,
                0.9999996072138934,
                0.9999992661789321,
                0.9999997300422869,
                0.9999994956525318,
                0.9999996072136592,
                0.9999994284993485,
                0.9999991684721707,
                0.9999994284997573
            ],
            [
                0.9999996072138465,
                0.9999990577555185,
                0.9999994284996211,
                0.9999998362622942,
                0.999999554914895,
                0.9999992661788446,
                0.9999996072136125,
                0.9999996940978825,
                0.9999997300420939,
                0.9999996072138466
            ],
            [
                0.999999266178757,
                0.9999990577554061,
                0.9999996072136592,
                0.9999980052695652,
                0.9999994956525918,
                0.9999996072136125,
                0.9999991684720715,
                0.9999996072138466,
                0.999999352405279,
                0.9999994284995529
            ],
            [
                0.9999996072137529,
                0.9999995549147889,
                0.9999996072136592,
                0.9999996940978461,
                0.9999995549149481,
                0.9999993524049703,
                0.9999996533674614,
                0.9999997300422869,
                0.9999997300422869,
                0.9999998144609424
            ],
            [
                0.9999996072138934,
                0.9999996940978825,
                0.9999996940977731,
                0.9999998874649318,
                0.9999997300422547,
                0.9999993524049703,
                0.9999996533674202,
                0.9999995549147889,
                0.9999992661788445,
                0.9999992661788446
            ],
            [
                0.999999428499553,
                0.9999982396569966,
                0.9999996533674615,
                0.9999987901343166,
                0.9999991684721706,
                0.9999990577554061,
                0.9999996072138465,
                0.9999990577550691,
                0.9999987901343165,
                0.9999986290429566
            ],
            [
                0.999999554915001,
                0.9999997300422547,
                0.9999996072139402,
                0.9999993524053562,
                0.9999997300421903,
                0.999999814460854,
                0.9999996533673788,
                0.9999992661790195,
                0.9999994956527722,
                0.9999994956527121
            ],
            [
                0.9999990577554062,
                0.9999994956525918,
                0.9999994284994848,
                0.9999995549149481,
                0.9999991684722698,
                0.9999996072138465,
                0.9999986290429566,
                0.9999994956524114,
                0.9999994956527721,
                0.9999991684719723
            ],
            [
                0.9999996940978461,
                0.9999994284993485,
                0.9999993524052019,
                0.9999997897565838,
                0.9999996072137529,
                0.999999554914895,
                0.9999994284994848,
                0.9999996940976636,
                0.9999995549150011,
                0.9999998555020307
            ],
            [
                0.9999996533674615,
                0.9999996072138466,
                0.9999997300422547,
                0.9999998555019618,
                0.9999996072137998,
                0.999999352404893,
                0.9999996940977366,
                0.9999997617631469,
                0.9999996940977731,
                0.9999986290432835
            ],
            [
                0.9999996072136125,
                0.9999987901341725,
                0.9999996072136593,
                0.9999996940978825,
                0.9999991684715758,
                0.9999993524049703,
                0.9999991684717742,
                0.9999986290426298,
                0.9999987901347492,
                0.9999987901337397
            ],
            [
                0.9999995549151073,
                0.9999990577556308,
                0.9999997300421903,
                0.9999994956524115,
                0.9999989322967483,
                0.9999990577552939,
                0.9999997300422225,
                0.9999994284996891,
                0.9999992661786696,
                0.9999994284992805
            ],
            [
                5.715005151400212e-07,
                6.962257079059797e-06,
                6.475945665900901e-07,
                6.475947209709154e-07,
                0.9999982396561572,
                3.7266379509129646e-06,
                2.5612819052072116e-06,
                1.7603425837062577e-06,
                2.9023112930659533e-06,
                7.338211554531576e-07
            ],
            [
                1.994729721396435e-06,
                1.553498495230919e-06,
                4.2228339475595195e-06,
                7.338208055229508e-07,
                1.0677024881266355e-06,
                1.0677028699858827e-06,
                1.3709568799368123e-06,
                3.726640616670918e-06,
                7.889264465986113e-06,
                1.0677029971648639e-06
            ],
            [
                1.7603440526662173e-06,
                1.3709578604831862e-06,
                8.315277302588544e-07,
                1.2098652507583041e-06,
                8.315282258832022e-07,
                6.1441731363550164e-06,
                1.209866116149238e-06,
                9.422445938861406e-07,
                8.315283250082584e-07,
                2.260325375520937e-06
            ],
            [
                0.9999994284997573,
                0.9999991684720715,
                0.9999996940976272,
                0.9999987901341723,
                0.9999996940978095,
                0.9999990577551815,
                0.9999996533673375,
                0.9999992661786696,
                0.9999992661788446,
                0.999999653367379
            ],
            [
                0.9999996072136592,
                0.9999996940976272,
                0.9999994284993485,
                0.9999995549147889,
                0.999999266178757,
                0.9999996533672136,
                0.9999996533672136,
                0.9999995549147889,
                0.9999998144609202,
                0.9999997897566089
            ],
            [
                0.999999352405279,
                0.9999996533672136,
                0.9999996072138934,
                0.9999996533673375,
                0.999999352404893,
                0.999999694097773,
                0.9999993524054335,
                0.9999996533672549,
                0.9999991684722698,
                0.9999980052705163
            ],
            [
                0.9999994284992805,
                0.999999495652652,
                0.9999995549147358,
                0.9999993524054334,
                0.999999266179107,
                0.9999991684719725,
                0.9999996072137998,
                0.9999984465016899,
                0.9999994284994167,
                0.9999993524050474
            ],
            [
                0.9999980052707542,
                0.999999352404893,
                0.9999994284996891,
                0.9999996940976272,
                0.9999997300423191,
                0.9999991684718733,
                0.9999993524051246,
                0.9999992661790195,
                0.9999974387177893,
                0.999999730042126
            ],
            [
                0.9999998144609202,
                0.9999996940977001,
                0.9999992661786695,
                0.9999990577555186,
                0.9999990577549569,
                0.9999995549147358,
                0.9999989322973845,
                0.9999994284996891,
                0.9999995549150011,
                0.9999995549150011
            ],
            [
                0.9999996533672548,
                0.9999996940976636,
                0.9999993524053562,
                0.9999991684719723,
                0.9999989322973846,
                0.9999989322966208,
                0.9999996072137061,
                0.9999982396567867,
                0.9999995549151073,
                0.9999996533673375
            ],
            [
                0.999999266179107,
                0.9999994956526519,
                0.9999991684722697,
                0.999999694097846,
                0.9999984465015047,
                0.9999998724809875,
                0.9999998144608319,
                0.9999994284994849,
                0.9999996940977366,
                0.9999998144609645
            ],
            [
                0.999999554914895,
                0.9999996940976636,
                0.9999982396561572,
                0.9999987901338839,
                0.9999982396574163,
                0.9999994956527121,
                0.9999996072138465,
                0.9999989322967482,
                0.999999814460876,
                0.9999977396754329
            ],
            [
                0.999999554914895,
                0.999999352404893,
                0.9999997617631183,
                0.9999997897567342,
                0.9999994284996893,
                0.9999995549150011,
                0.9999995549150541,
                0.9999996072136592,
                0.9999997300422869,
                0.9999998362623722
            ],
            [
                0.9999994956526519,
                0.9999989322966208,
                0.9999996940977366,
                0.9999994284992805,
                0.9999991684719723,
                0.9999989322975118,
                0.9999996533675028,
                0.9999995549150542,
                0.9999994956525317,
                0.9999995549148419
            ],
            [
                0.9999977396751634,
                0.999999554914895,
                0.9999996072137998,
                0.9999996533672548,
                0.9999986290426299,
                0.9999996533672136,
                0.999999554914789,
                0.9999990577551815,
                0.9999991684721706,
                0.9999994284993486
            ],
            [
                0.9999990577554062,
                0.9999994284997573,
                0.9999994956525318,
                0.9999997617631184,
                0.9999996940977366,
                0.9999994956527721,
                0.9999990577554061,
                0.9999999006881141,
                0.9999996940977731,
                0.9999997300422225
            ],
            [
                0.9999980052695655,
                0.999999789756684,
                0.9999997617630332,
                0.9999997300422869,
                0.9999995549150011,
                0.9999991684721706,
                0.9999997617631752,
                0.9999994956524114,
                0.9999986290427932,
                0.999999495652712
            ],
            [
                0.999999352404893,
                0.9999994956526519,
                0.9999994284995529,
                0.9999994284997573,
                0.9999992661788446,
                0.9999995549147889,
                0.9999996533674201,
                0.9999997617630049,
                0.9999990577549569,
                0.9999989322973846
            ],
            [
                0.9999994284993485,
                0.9999998144609645,
                0.9999992661791945,
                0.9999998362622943,
                0.9999996072136592,
                0.9999996072137998,
                0.9999996072137998,
                0.9999996940978095,
                0.9999997617629763,
                0.9999998362623528
            ],
            [
                0.9999996072139402,
                0.9999997897566589,
                0.999999554914895,
                0.99999976176309,
                0.9999996072136592,
                0.9999996072137061,
                0.9999992661788446,
                0.9999996072137998,
                0.9999994284996893,
                0.999999653367379
            ],
            [
                0.999999653367379,
                0.9999996072137998,
                0.9999993524050474,
                0.999999554914895,
                0.9999996533675028,
                0.9999996533672549,
                0.9999994956527721,
                0.9999997897565838,
                0.999999554914895,
                0.9999997300422869
            ],
            [
                0.9999997617629764,
                0.9999995549149481,
                0.9999994284993485,
                0.9999986290432835,
                0.9999991684720715,
                0.9999997617630616,
                0.9999995549147889,
                0.9999994956527722,
                0.9999987901341723,
                0.9999994284996893
            ],
            [
                0.9999994284992805,
                0.9999998724809419,
                0.9999991684717741,
                0.9999997300422869,
                0.9999994284994167,
                0.9999996533673375,
                0.9999994956525918,
                0.9999995549150542,
                0.999999554914895,
                0.9999994956524114
            ],
            [
                0.9999991684722697,
                0.9999994284997573,
                0.9999996940977001,
                0.9999996533672549,
                0.9999997300421581,
                0.9999991684722697,
                0.9999996072136125,
                0.9999994956527721,
                0.9999996940976271,
                0.999999694097846
            ],
            [
                0.9999996072137061,
                0.9999995549148419,
                0.9999997300421903,
                0.9999994284993485,
                0.9999996072138934,
                0.9999995549151072,
                0.9999995549149481,
                0.9999993524051246,
                0.9999980052695653,
                0.9999994284992805
            ],
            [
                0.9999993524052019,
                0.9999993524054335,
                0.99999862904312,
                0.9999996940976271,
                0.9999994956525918,
                0.9999993524049703,
                0.9999997897567342,
                0.999999428499553,
                0.9999986290426299,
                0.999998790134028
            ],
            [
                0.9999994956524716,
                0.9999996072137998,
                0.9999995549147359,
                0.9999994956523514,
                0.9999996072136125,
                0.9999982396574163,
                0.999999266178757,
                0.9999993524050474,
                0.999999352405279,
                0.9999996533674614
            ],
            [
                0.9999994284996211,
                0.9999996940976272,
                0.999999730042126,
                0.9999989322970028,
                0.9999996940977002,
                0.9999990577557432,
                0.9999986290427931,
                0.9999997617630616,
                0.9999982396569965,
                0.9999994284993486
            ],
            [
                0.9999994284997573,
                0.9999997300422547,
                0.999999814460876,
                0.9999998144608983,
                0.9999994956524716,
                0.9999997617630048,
                0.9999998555019274,
                0.999999352405279,
                0.9999994284994167,
                0.9999996072138465
            ],
            [
                0.9999991684719723,
                0.9999997617631752,
                0.9999993524051246,
                0.9999994956527721,
                0.9999996940976271,
                0.9999996072137529,
                0.999999495652712,
                0.9999997617631183,
                0.9999997300422225,
                0.9999994284996211
            ],
            [
                0.9999980052695652,
                0.9999994956527722,
                0.9999993524048931,
                0.9999992661791944,
                0.9999990577552939,
                0.9999997617631184,
                0.9999967112493666,
                0.9999977396757024,
                0.9999994956526519,
                0.999999352404893
            ],
            [
                0.9999995549150011,
                0.9999997897566589,
                0.9999994956524716,
                0.9999997300422869,
                0.9999992661788446,
                0.9999994284994168,
                0.9999974387180948,
                0.9999994956524114,
                0.9999996533674615,
                0.9999995549148951
            ],
            [
                0.9999990577556308,
                0.9999997617629763,
                0.9999990577550693,
                0.9999989322970027,
                0.9999995549147359,
                0.9999995549151073,
                0.9999992661788445,
                0.9999994284996893,
                0.9999994284997574,
                0.9999994956527121
            ],
            [
                0.9999991684718733,
                0.9999997617631752,
                0.9999986290426298,
                0.9999990577549569,
                0.9999996072136125,
                0.9999994956525318,
                0.9999982396567868,
                0.9999992661786696,
                0.9999990577550691,
                0.999998005269803
            ],
            [
                0.9999994284994849,
                0.9999991684719723,
                0.9999992661788445,
                0.9999990577549568,
                0.9999989322975118,
                0.9999989322970027,
                0.9999996072137529,
                0.9999994284996891,
                0.9999994956527722,
                0.9999996940978825
            ],
            [
                0.9999994284993486,
                0.9999993524052018,
                0.9999998362623528,
                0.9999996940977002,
                0.9999997300422547,
                0.9999996072137998,
                0.9999997897566089,
                0.9999998555019791,
                0.9999996940978095,
                0.9999994956527121
            ],
            [
                0.999999554914895,
                0.9999994284996891,
                0.9999995549150541,
                0.9999998144609424,
                0.9999995549150011,
                0.9999992661792819,
                0.9999993524054334,
                0.9999987901347491,
                0.9999996072139402,
                0.999999554915001
            ],
            [
                0.9999994284992805,
                0.9999996533672135,
                0.9999992661787571,
                0.9999980052707542,
                0.9999989322970028,
                0.9999977396746245,
                0.9999984465020603,
                0.9999995549149481,
                0.9999994284996893,
                0.9999992661791071
            ],
            [
                0.9999997897566089,
                0.9999996533672962,
                0.9999994956526519,
                0.9999989322970029,
                0.9999997300421581,
                0.9999989322972572,
                0.9999993524052789,
                0.9999996533674202,
                0.9999996072138465,
                0.9999998724809267
            ],
            [
                0.999999352404893,
                0.9999996072138466,
                0.9999993524050474,
                0.9999994284992805,
                0.9999997300422225,
                0.9999992661792819,
                0.9999997897567091,
                0.9999994284996893,
                0.9999994284992805,
                0.9999994956523514
            ],
            [
                0.9999996072139402,
                0.99999976176309,
                0.9999995549147889,
                0.9999995549147889,
                0.9999997300422547,
                0.9999995549147889,
                0.9999987901341723,
                0.9999984465015047,
                0.9999993524051246,
                0.9999994284992805
            ],
            [
                0.9999994956526519,
                0.9999989322972573,
                0.9999996533674615,
                0.9999980052693276,
                0.9999996940977366,
                0.9999996940977366,
                0.9999984465022455,
                0.9999996072139402,
                0.9999994956524715,
                0.9999995549148419
            ],
            [
                0.9999989322970028,
                0.9999994956527721,
                0.9999989322970028,
                0.9999992661789321,
                0.9999992661786695,
                0.9999993524052019,
                0.999999352404893,
                0.9999989322975119,
                0.9999989322968754,
                0.9999996072137529
            ],
            [
                0.9999996072138934,
                0.9999996940977002,
                0.9999998362622943,
                0.9999994284995529,
                0.9999991684721706,
                0.9999994956527721,
                0.9999993524050474,
                0.9999994284995529,
                0.9999994284994167,
                0.9999996533672135
            ],
            [
                0.9999992661786695,
                0.999999352404893,
                0.9999991684718733,
                0.9999995549149481,
                0.9999996533674614,
                0.9999996940977366,
                0.9999996940976636,
                0.9999997300421903,
                0.9999991684716749,
                0.9999997617629764
            ],
            [
                0.9999996533672962,
                0.9999994956525317,
                0.999998629042303,
                0.999999814460854,
                0.9999998555019618,
                0.9999997897567091,
                0.9999993524052018,
                0.9999994956525918,
                0.9999994956525317,
                0.9999996533674201
            ],
            [
                0.999999428499553,
                0.9999989322967481,
                0.9999992661791071,
                0.9999996072137998,
                0.9999990577551815,
                0.999999730042319,
                0.9999994956523514,
                0.9999997300423191,
                0.9999996072137998,
                0.9999994284993485
            ],
            [
                0.9999993524051246,
                0.9999993524054334,
                0.9999994956527121,
                0.9999991684719725,
                0.9999992661790196,
                0.9999996072139402,
                0.9999992661788445,
                0.9999995549150541,
                0.999999554914895,
                0.9999986290427931
            ],
            [
                0.999999814460854,
                0.9999996940977001,
                0.9999997300423191,
                0.9999998144609203,
                0.9999990577557432,
                0.9999991684719723,
                0.9999994284994168,
                0.9999989322973845,
                0.999999352404893,
                0.9999991684722697
            ],
            [
                0.9999995549151073,
                0.9999992661787571,
                0.9999997617630332,
                0.9999996940978095,
                0.9999990577554061,
                0.9999992661787571,
                0.999999168471675,
                0.999999554914789,
                0.999999554914895,
                0.9999996533675028
            ],
            [
                0.9999992661786695,
                0.9999989322975118,
                0.999999352405279,
                0.9999994284994849,
                0.9999991684720715,
                0.9999993524054334,
                0.9999994284997574,
                0.9999986290426297,
                0.9999995549151073,
                0.9999994956523514
            ],
            [
                0.9999991684718732,
                0.9999996072138465,
                0.9999990577551815,
                0.9999996533673376,
                0.9999996533673375,
                0.9999994956526519,
                0.9999992661788445,
                0.9999997617630333,
                0.999999789756684,
                0.9999995549150542
            ],
            [
                0.9999990577549568,
                0.9999994956526519,
                0.999999495652712,
                0.9999995549147889,
                0.9999996940976272,
                0.9999987901347491,
                0.9999995549150011,
                0.9999996533672963,
                0.999999352404893,
                0.9999996072136125
            ],
            [
                0.9999997300422869,
                0.9999994956527121,
                0.9999994284992806,
                0.9999994956524716,
                0.9999994284993485,
                0.9999990577550691,
                0.9999994956523514,
                0.9999996072138466,
                0.9999991684722697,
                0.9999987901341723
            ],
            [
                0.9999996072139402,
                0.9999996533672549,
                0.9999996072136125,
                0.9999997300422869,
                0.9999994956523514,
                0.9999996072138466,
                0.9999999006879838,
                0.9999997897567091,
                0.9999997897567342,
                0.9999995549150542
            ],
            [
                0.9999996940977366,
                0.9999996533674202,
                0.9999989322975119,
                0.999999694097846,
                0.9999991684720715,
                0.9999992661786695,
                0.9999996940978095,
                0.9999994284994849,
                0.9999996072137061,
                0.9999996940977731
            ],
            [
                0.9999996940978095,
                0.9999994284992805,
                0.9999990577554061,
                0.9999993524052019,
                0.9999997300421581,
                0.9999994956524716,
                0.9999990577556308,
                0.9999989322966208,
                0.9999994284997573,
                0.9999992661788446
            ],
            [
                0.9999997300423191,
                0.999999554914895,
                0.9999995549147889,
                0.9999994284995529,
                0.9999991684721706,
                0.9999996533672962,
                0.9999996072139402,
                0.999999266178757,
                0.9999996072136125,
                0.9999997300422869
            ],
            [
                0.9999997300422869,
                0.9999991684721706,
                0.9999994284993486,
                0.9999991684722697,
                0.9999993524049702,
                0.9999994284996211,
                0.9999995549147889,
                0.9999989322971299,
                0.9999994956523514,
                0.9999989322975118
            ],
            [
                0.999999428499553,
                0.9999990577552939,
                0.9999996940977366,
                0.999999352404893,
                0.999998932296621,
                0.9999996072137061,
                0.9999992661791071,
                0.9999993524052018,
                0.9999986290421394,
                0.9999994284992805
            ],
            [
                0.9999994284992805,
                0.9999997617629763,
                0.9999998362622942,
                0.9999997617631183,
                0.9999996940976272,
                0.9999992661786696,
                0.9999984465020604,
                0.999999168471675,
                0.999999789756684,
                0.9999996072137529
            ],
            [
                0.9999994956523514,
                0.9999994956524114,
                0.9999986290421395,
                0.9999996072139402,
                0.999999495652712,
                0.999999168471675,
                0.9999996072138466,
                0.9999994284996211,
                0.9999995549148419,
                0.9999994284996212
            ],
            [
                0.9999994956523514,
                0.9999996533672962,
                0.9999995549149481,
                0.9999987901343165,
                0.9999996072139402,
                0.9999994284995529,
                0.999999495652652,
                0.9999994956525317,
                0.9999993524053563,
                0.9999992661791944
            ],
            [
                0.9999998144609645,
                0.9999994956527121,
                0.9999991684721706,
                0.9999996072136593,
                0.9999994956527722,
                0.9999994956525317,
                0.9999993524054334,
                0.9999990577555185,
                0.9999997617630048,
                0.9999994284997574
            ],
            [
                0.999999730042126,
                0.9999994956525918,
                0.9999994284996211,
                0.9999994956527721,
                0.9999991684722698,
                0.999999168471675,
                0.9999991684719723,
                0.9999994956524716,
                0.9999994284995529,
                0.9999996533672135
            ],
            [
                0.9999994284993486,
                0.9999984465020604,
                0.9999994284994849,
                0.9999994956525918,
                0.9999994284996891,
                0.9999995549148419,
                0.9999991684718732,
                0.9999991684715759,
                0.999999789756634,
                0.9999980052707542
            ],
            [
                0.9999995549149481,
                0.9999995549151073,
                0.9999997300422225,
                0.9999996533673376,
                0.9999994284993486,
                0.9999987901344608,
                0.9999992661790196,
                0.9999992661786696,
                0.99999862904312,
                0.9999992661789321
            ],
            [
                0.9999994284995529,
                0.9999993524049703,
                0.9999996072136592,
                0.9999993524049703,
                0.9999992661791945,
                0.9999989322968754,
                0.9999996533674614,
                0.9999996072137529,
                0.9999997617630049,
                0.9999991684721706
            ],
            [
                0.9999998362623332,
                0.9999996533674202,
                0.9999994956525317,
                0.9999998144609645,
                0.9999997617631184,
                0.9999997617631752,
                0.9999993524050474,
                0.9999994956525918,
                0.9999997617631753,
                0.9999996072136125
            ],
            [
                0.9999994956524114,
                0.99999862904263,
                0.9999996072136125,
                0.9999991684715759,
                0.9999982396569966,
                0.9999990577550691,
                0.9999993524054334,
                0.9999992661790195,
                0.9999994284997573,
                0.9999991684715759
            ],
            [
                0.9999997300422547,
                0.9999996072137529,
                0.9999996533672548,
                0.9999992661792819,
                0.9999996533673788,
                0.9999994956524716,
                0.9999997897566589,
                0.9999996072137061,
                0.9999996072137998,
                0.9999997897566089
            ],
            [
                0.9999994284993486,
                0.999999653367379,
                0.9999996072137529,
                0.9999996533672136,
                0.9999997300421903,
                0.9999994956526519,
                0.9999994284994848,
                0.9999993524054335,
                0.9999991684718732,
                0.999999730042126
            ],
            [
                0.9999997300421261,
                0.9999997300421581,
                0.9999994956525917,
                0.9999997617630616,
                0.9999994956524716,
                0.999999730042126,
                0.9999994956523514,
                0.9999994284994848,
                0.9999994284996211,
                0.9999994284993485
            ],
            [
                0.9999990577549569,
                0.9999996072137061,
                0.9999992661788445,
                0.9999991684718732,
                0.999999789756684,
                0.9999994284996893,
                0.9999990577554061,
                0.9999994284992805,
                0.9999997617630616,
                0.9999996533673375
            ],
            [
                0.9999994956525918,
                0.9999997300422225,
                0.9999996940976636,
                0.9999997300422869,
                0.9999996533672962,
                0.9999994956526519,
                0.9999996533672136,
                0.9999996072136593,
                0.9999997897566589,
                0.9999997300421903
            ],
            [
                0.9999997300422225,
                0.999999789756634,
                0.9999997617631752,
                0.9999992661787571,
                0.9999998555020307,
                0.9999994956527121,
                0.9999997300421904,
                0.9999994956524716,
                0.9999993524052019,
                0.9999994956525917
            ],
            [
                0.9999997300422547,
                0.9999991684716749,
                0.9999990577551816,
                0.9999996072138466,
                0.9999996072136592,
                0.9999996533675028,
                0.9999996533674615,
                0.9999996533672549,
                0.9999996533672962,
                0.999999428499553
            ],
            [
                0.9999994956524114,
                0.9999992661791944,
                0.999999554915001,
                0.9999998555019963,
                0.9999995549150542,
                0.9999989322966208,
                0.9999996533675028,
                0.9999997617630332,
                0.9999996533672548,
                0.9999996533672548
            ],
            [
                0.9999993524053563,
                0.9999991684715759,
                0.9999989322973846,
                0.9999994956527121,
                0.999999730042126,
                0.9999987901347491,
                0.9999996533674202,
                0.9999994284996211,
                0.9999993524054335,
                0.9999996940978825
            ],
            [
                0.999999352405279,
                0.9999998144609202,
                0.9999996940978825,
                0.9999990577556308,
                0.9999996533672135,
                0.9999996533674615,
                0.9999994284997574,
                0.9999989322968754,
                0.9999998362622552,
                0.9999996533672549
            ],
            [
                0.9999995549149481,
                0.9999996940977366,
                0.9999995549147358,
                0.999999428499553,
                0.9999992661791945,
                0.9999992661786695,
                0.9999996940978095,
                0.9999997300422547,
                0.99999862904312,
                0.999999653367379
            ],
            [
                0.999999554914895,
                0.9999997617631468,
                0.9999996072139402,
                0.9999998362623723,
                0.9999997617631752,
                0.9999993524051246,
                0.9999995549151072,
                0.9999990577549568,
                0.9999996072138465,
                0.9999992661791071
            ],
            [
                0.9999996940977366,
                0.9999995549149481,
                0.9999989322972572,
                0.9999994284994167,
                0.9999989322972572,
                0.9999994284994849,
                0.9999996072138465,
                0.9999997617631752,
                0.9999987901341723,
                0.9999992661786696
            ],
            [
                0.9999995549150011,
                0.9999998144608981,
                0.9999995549151073,
                0.999999266178757,
                0.9999986290426297,
                0.9999993524053562,
                0.99999976176309,
                0.9999994284994167,
                0.9999993524052019,
                0.9999996072138465
            ],
            [
                0.9999991684718733,
                0.9999986290432834,
                0.9999982396569966,
                0.9999993524051247,
                0.9999994284992805,
                0.9999994956524716,
                0.9999994956524716,
                0.9999996940978095,
                0.9999995549150541,
                0.9999991684719723
            ],
            [
                0.9999995549150542,
                0.9999991684722698,
                0.9999992661786696,
                0.9999987901338838,
                0.9999996072137529,
                0.9999995549148419,
                0.9999994284996891,
                0.999999495652712,
                0.9999991684720715,
                0.999999789756634
            ],
            [
                0.9999986290429566,
                0.9999998555019618,
                0.9999994956524715,
                0.999998790134028,
                0.9999996072136593,
                0.9999989322968754,
                0.9999987901338838,
                0.999999352405279,
                0.9999984465022455,
                0.9999995549148419
            ],
            [
                0.9999989322971301,
                0.9999989322975118,
                0.99999893229713,
                0.9999991684720715,
                0.9999992661791944,
                0.999999266178757,
                0.9999994284994167,
                0.9999996072136593,
                0.9999995549150011,
                0.9999992661790195
            ]
        ]
    },
    {
        "q_id": "10668_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9994472212947403,
                0.9999417087138969,
                0.9998204720998505,
                0.999985261016323,
                0.999841563804279,
                0.9997040429747318,
                0.999569442938641,
                0.9971990735804442,
                0.9999485577804251,
                0.999891103129893
            ],
            [
                0.9998415637463428,
                0.9999687980775263,
                0.9997965729803083,
                0.9999038975858234,
                0.9953904270343551,
                0.9999339478795116,
                0.9999038975741374,
                0.9999251537820766,
                0.999088948593566,
                0.9998415638240643
            ],
            [
                0.0002611902094023469,
                0.3486451217982255,
                5.1442225836439433e-05,
                0.00010889696047343262,
                9.610243780928898e-05,
                8.481107119166687e-05,
                9.610241468004681e-05,
                5.829129327472389e-05,
                8.481102093340112e-05,
                7.484623593296888e-05
            ],
            [
                0.9995121427800906,
                0.9975273771287818,
                0.9995121429012015,
                0.9994472214768199,
                0.999088948899854,
                0.9997965729847301,
                0.9992903296784625,
                0.9996646497811086,
                0.9998204719714965,
                0.997817283566318
            ],
            [
                0.9998601779283889,
                0.9999546021260689,
                0.9999417087206676,
                0.9984988175099588,
                0.9975273772534003,
                0.9996646499513142,
                0.9999251537825372,
                0.9999038975626976,
                0.999941708749347,
                0.9998415638411204
            ],
            [
                6.605217603921075e-05,
                9.610244866949822e-05,
                0.00010889687002145827,
                0.00013982212343729845,
                7.484620924955781e-05,
                0.00029595706013388687,
                0.00020342699683418625,
                0.00013982210711534676,
                0.0001584362915683428,
                0.00026119039832211695
            ],
            [
                0.9988304898113707,
                0.9998766053969839,
                0.9997388095695922,
                0.9996200155693863,
                0.9997040429077904,
                0.9997965730385662,
                0.9997040429784173,
                0.9997694932362083,
                0.9998766053965853,
                0.9991959142000867
            ],
            [
                0.9999251537825122,
                0.9999251537997745,
                0.9999339478799384,
                0.9998766054112287,
                0.9999599362887948,
                0.999820472103288,
                0.9995121429048913,
                0.9999151889189469,
                0.9999785550542708,
                0.9971990731317268
            ],
            [
                0.9998204720383952,
                0.9998204721004774,
                0.9998911030390022,
                0.9998415637843829,
                0.9998911030781849,
                0.9998204719521415,
                0.9995694428176449,
                0.9940889307469949,
                0.9978172840460289,
                0.9978172833807216
            ],
            [
                0.9999151889389054,
                0.9999151889388487,
                0.9999646437536566,
                0.9997694932071667,
                0.9999251537642169,
                0.9997694932649683,
                0.9999151889895511,
                0.9999251537996269,
                0.999704042938695,
                0.9997040427650813
            ],
            [
                0.9998911031043495,
                0.9999485577803031,
                0.9968273165765313,
                0.9998415638417197,
                0.9978172835977578,
                0.9999251538001324,
                0.9996646497324518,
                0.9999485577986821,
                0.9997965729315808,
                0.9998911030786
            ],
            [
                0.9997040429065245,
                0.9996200153992638,
                0.9999485577927604,
                0.9968273166383851,
                0.9997388097284476,
                0.9999339478792396,
                0.9999339478477572,
                0.9999151889690868,
                0.999769493373301,
                0.9999546021152587
            ],
            [
                0.9998911030782626,
                0.9997040427641686,
                0.999876605368902,
                0.9999832985742511,
                0.9995694428660058,
                0.9995121428311519,
                0.9997040428701434,
                0.9997965731003519,
                0.9998415638224023,
                0.9998415637656325
            ],
            [
                0.9996200154981822,
                0.9999339478798683,
                0.9997040428319797,
                0.9990889485893275,
                0.9997388096998958,
                0.9999151889899189,
                0.999769493260099,
                0.9998204720140409,
                0.9997040429094264,
                0.9996200154761279
            ],
            [
                0.000123394589256077,
                3.535626333641835e-05,
                8.481108161946477e-05,
                8.481105118017095e-05,
                0.0001233945742482789,
                8.481106149875219e-05,
                0.00013982202353022053,
                0.00017952804952495535,
                5.144223200893693e-05,
                4.006368739659403e-05
            ],
            [
                0.9992903295866995,
                0.9999151889187952,
                0.9978172838330494,
                0.9997965729867545,
                0.9997388096364539,
                0.9997388096004012,
                0.999664649944299,
                0.9978172830632807,
                0.9998601779432623,
                0.9998204719733406
            ],
            [
                0.9998601778770367,
                0.9997965731003045,
                0.9997694931808414,
                0.9996646498539716,
                0.999841563766271,
                0.9999485577743604,
                0.9995121429002649,
                0.9998204720354332,
                0.9984988175694627,
                0.9975273769984205
            ],
            [
                0.9986749773093507,
                0.998073265649194,
                0.9999151889795935,
                0.9990889486104142,
                0.977022632097108,
                0.9995121428960074,
                0.997527376637199,
                0.9995694428893909,
                0.998299277475507,
                0.9997388097648805
            ],
            [
                0.999769493314225,
                0.9997965729806162,
                0.9998601779772774,
                0.9994472214015697,
                0.9998415637097733,
                0.9998415637841962,
                0.9999038975974813,
                0.9993736657597305,
                0.9996646497450087,
                0.9998911031312366
            ],
            [
                0.9997388096061693,
                0.9999251537550522,
                0.9999646437493799,
                0.9993736659121729,
                0.9999546021314958,
                0.9999038976087141,
                0.9998415637654089,
                0.999860177927687,
                0.9998766054119019,
                0.9999151889587954
            ],
            [
                0.9999599363127585,
                0.9998911030394093,
                0.9996200154286918,
                0.9998766053672179,
                0.9999546021209467,
                0.9998766054271917,
                0.998073265272646,
                0.99987660545634,
                0.998299277832469,
                0.9995694429301738
            ],
            [
                0.9998415637090241,
                0.9992903297180903,
                0.9994472213503096,
                0.9996200154278516,
                0.9997694933416302,
                0.9982992774812389,
                0.9995694428271894,
                0.9993736658570838,
                0.9995694428174445,
                0.9996200154884983
            ],
            [
                0.9996200155693863,
                0.9995694429265916,
                0.9998766053827894,
                0.9988304897700299,
                0.9998601778819803,
                0.9999485577806527,
                0.9995694429260404,
                0.9996200154799418,
                0.9999485577928031,
                0.9996646499417233
            ],
            [
                0.999738809735105,
                0.9999417087416809,
                0.998498817951614,
                0.9992903297260984,
                0.9996646497744448,
                0.9995121429529441,
                0.9997965729561221,
                0.999903897539618,
                0.999989870011513,
                0.9998911030654488
            ],
            [
                0.9995121429507585,
                0.9982992772446477,
                0.999195913968874,
                0.9991959139412818,
                0.9999251537821963,
                0.994088931266889,
                0.9964063968783462,
                0.9991959139438071,
                0.999569443019067,
                0.9997040429874674
            ],
            [
                0.9998204719718674,
                0.9999151889185052,
                0.9978172831652066,
                0.9989677691301057,
                0.9991959139234639,
                0.9933071490571407,
                0.99951214295635,
                0.998073265527409,
                0.9984988178320826,
                0.9989677689744092
            ],
            [
                0.9995121429006623,
                0.9995694428567995,
                0.99937366584251,
                0.9924227586866172,
                0.999876605382373,
                0.9997040428052427,
                0.9999038975625759,
                0.9993736659156341,
                0.9999038975397635,
                0.9997040430158749
            ],
            [
                0.9975273768680593,
                0.9997694932955326,
                0.9997388096087,
                0.9999251537640507,
                0.9999417087073246,
                0.9998415637676242,
                0.9998766054704644,
                0.9998204720360025,
                0.9999646437579258,
                0.9988304899752382
            ],
            [
                0.9998766053667565,
                0.9992903295571438,
                0.9988304898467281,
                0.9959298628805827,
                0.9998204720776824,
                0.9999546021315,
                0.9991959141669761,
                0.9964063980813666,
                0.9986749776271528,
                0.9997965730815521
            ],
            [
                0.9996200154318202,
                0.9998601779270503,
                0.9994472214726393,
                0.9999151889902039,
                0.9964063972134911,
                0.998299277241683,
                0.9999251537382402,
                0.9988304895202167,
                0.9998204720352373,
                0.9997694932602265
            ],
            [
                9.6102403023487e-05,
                3.5356254905712496e-05,
                6.605212873279408e-05,
                0.0001398221070929684,
                0.0001795280502563176,
                4.539785238918559e-05,
                5.144221975264518e-05,
                9.610238035360767e-05,
                0.0001584362730899713,
                2.1444956079842134e-05
            ],
            [
                0.9993736657743771,
                0.9995694430192549,
                0.9998204720355925,
                0.9990889489447298,
                0.999876605367884,
                0.9988304898620948,
                0.999512142833167,
                0.9989677691124592,
                0.9997040429480206,
                0.9995121427793809
            ],
            [
                0.9994472212807193,
                0.9997388095997779,
                0.9997040429409684,
                0.999738809758527,
                0.9992903295613129,
                0.9988304896989073,
                0.9984988175900535,
                0.9995694430206452,
                0.9993736658230539,
                0.9996200154381547
            ],
            [
                0.9995694429229841,
                0.9999151889593648,
                0.9999339478401125,
                0.9999485577865059,
                0.9989677687534092,
                0.9999251537820024,
                0.9996646498944132,
                0.9999251537372568,
                0.9999646437620522,
                0.9999546021478686
            ],
            [
                0.9993736657782394,
                0.9968273168202646,
                0.9964063970584242,
                0.9998415637287956,
                0.999704042906318,
                0.998299277604377,
                0.9992903294378889,
                0.9999151889385969,
                0.9982992774023752,
                0.99991518893962
            ],
            [
                0.9999417087276202,
                0.9998601779120894,
                0.9997388097898149,
                0.9998601778612152,
                0.9999339478715392,
                0.9997040427705666,
                0.9999599363031332,
                0.9997694933415698,
                0.9998766054405369,
                0.9997694932084544
            ],
            [
                0.9998601778937248,
                0.9998415637473915,
                0.9999599363036672,
                0.9999687980998476,
                0.9998911030524037,
                0.9998911030656389,
                0.9999910603015856,
                0.9999485577804251,
                0.9999251537376574,
                0.9999546021210246
            ],
            [
                0.9998766054701754,
                0.9998204719503497,
                0.9998415638229095,
                0.9997694933435954,
                0.9994472213414983,
                0.9999646437369493,
                0.9998204720598868,
                0.9998415637669603,
                0.9999599362983708,
                0.9997694932382942
            ],
            [
                0.9999251537374549,
                0.9991959141258216,
                0.9997040429438099,
                0.9989677691781229,
                0.9998601779172119,
                0.9998204719526795,
                0.9993736659466765,
                0.9997965729384234,
                0.9999038975623662,
                0.9999599363222937
            ],
            [
                0.9998911030914723,
                0.9999339478481004,
                0.9999687980960955,
                0.9999151889699259,
                0.9998415638225683,
                0.9999038975402654,
                0.9999417087559026,
                0.9999038976203721,
                0.9998415638425197,
                0.9992903294888271
            ],
            [
                0.9999832985762027,
                0.9999251537997256,
                0.9998204720578181,
                0.9999646437620067,
                0.9998766054119504,
                0.9999151889186224,
                0.9999339478713302,
                0.9999485577618811,
                0.9995694429908721,
                0.9999339478330914
            ],
            [
                0.9999599362887743,
                0.9999151889288318,
                0.9989677688069485,
                0.9999646437536927,
                0.9998911031319243,
                0.9997965730807352,
                0.9998766054702402,
                0.9999910603005011,
                0.9999038976219033,
                0.9996646498968035
            ],
            [
                0.9998601779623104,
                0.9999151889396347,
                0.9999646437621559,
                0.999796573080611,
                0.9998766054259134,
                0.9997965730278641,
                0.9890130583814032,
                0.9997694931780914,
                0.999915188939188,
                0.9998766053668516
            ],
            [
                0.9998911030395599,
                0.9989677687612121,
                0.9999251537553342,
                0.9998911030528268,
                0.9988304896378478,
                0.9998204719962792,
                0.9999251537818146,
                0.9998766054552019,
                0.9999251537640752,
                0.999933947871323
            ],
            [
                0.9999151889393237,
                0.999860177878766,
                0.9993736657094873,
                0.9998204721014124,
                0.9992903294434202,
                0.9997965729789707,
                0.9999687980999258,
                0.9999151889591785,
                0.9999339478479764,
                0.9999151889491185
            ],
            [
                0.9997965730323214,
                0.9999724643089597,
                0.999876605455428,
                0.9999417087415625,
                0.999948557792623,
                0.9999417087071295,
                0.9995694429307499,
                0.9999417087215802,
                0.9997694933441387,
                0.9999485577744667
            ],
            [
                0.9998204720789126,
                0.9996200154324725,
                0.9994472212996284,
                0.9999151889392695,
                0.9940889313380324,
                0.9982992778194238,
                0.9999151889801439,
                0.9996200154356011,
                0.9999646437368137,
                0.9998415638221119
            ],
            [
                0.9997965730282903,
                0.9999339478321774,
                0.9998911030402048,
                0.9996646500182158,
                0.9998204720561046,
                0.9999038975630737,
                0.9997388095679126,
                0.999860177877169,
                0.9999038975524143,
                0.9998601779446152
            ],
            [
                0.9997388095695161,
                0.999447221369508,
                0.9999038976084849,
                0.9998415637096326,
                0.9998415637461353,
                0.9998766053973448,
                0.9997694932888053,
                0.9997694932586367,
                0.9990889487183913,
                0.9991959142469464
            ],
            [
                0.9982992775089103,
                0.9947798735810052,
                0.9992903294831719,
                0.9994472213591209,
                0.9991959141176844,
                0.9997694932323182,
                0.9982992773302317,
                0.9982992775701829,
                0.9993736659191319,
                0.9924227603989445
            ],
            [
                0.999876605368085,
                0.9999339478635407,
                0.9999151889493233,
                0.9999832985741915,
                0.9999599363127954,
                0.9998415638045348,
                0.9999339478714296,
                0.9999151889892037,
                0.9999646437409571,
                0.9996200154399898
            ],
            [
                0.9999417087277989,
                0.9995694429911226,
                0.9999251537996486,
                0.9999151889693595,
                0.9999832985761973,
                0.9999810748563532,
                0.9999339478794934,
                0.9989677691706802,
                0.9999599363174034,
                0.9999599363127746
            ],
            [
                4.53978848619353e-05,
                9.610246039458229e-05,
                6.605214462205646e-05,
                6.605217607477225e-05,
                0.00023050676911710389,
                4.0063692061308975e-05,
                5.144221363703851e-05,
                0.00010889690906952487,
                2.7535687813231466e-05,
                7.48462538068627e-05
            ],
            [
                0.999903897539618,
                0.9998601779153037,
                0.9995694428970063,
                0.9998601779269202,
                0.9998415638421831,
                0.999620015430162,
                0.9994472213346165,
                0.9995694428319241,
                0.9997694933446953,
                0.9980732657490397
            ],
            [
                0.9999756997593585,
                0.9999151889797971,
                0.9999646437620401,
                0.9996200154357668,
                0.9998911030526081,
                0.9999546021431915,
                0.9998601778608938,
                0.9988304896111939,
                0.999925153755306,
                0.9997694932911393
            ],
            [
                0.999841563783553,
                0.9994472213431705,
                0.9996200155684909,
                0.9998204719502661,
                0.9998601778774416,
                0.9968273165411863,
                0.9999151889386154,
                0.9998204720355925,
                0.9998204720138057,
                0.9996200153985342
            ],
            [
                0.9988304896382558,
                0.9998766053667009,
                0.9993736657236967,
                0.9999339478475852,
                0.9998204720133931,
                0.9998204720777947,
                0.9992903297626302,
                0.9997388096317498,
                0.9997694933693372,
                0.99973880966303
            ],
            [
                0.9998204719703889,
                0.999876605382373,
                0.9999251537907967,
                0.9995121429580813,
                0.999620015472734,
                0.9998601779773323,
                0.9997694932903345,
                0.999933947824179,
                0.9999151889398938,
                0.9998415638409615
            ],
            [
                0.9995694428717049,
                0.9993736658414899,
                0.9992903296500213,
                0.9995121428349552,
                0.9997965730594613,
                0.9998911031046267,
                0.9995121427773658,
                0.999796572987826,
                0.9996646499427185,
                0.996406396884182
            ],
            [
                0.9964063980321787,
                0.9999485577621218,
                0.9978172838016096,
                0.9990889488761712,
                0.9997388096332088,
                0.9999038976214166,
                0.9998766053969157,
                0.9991959139920232,
                0.9993736658111397,
                0.9995694428939
            ],
            [
                0.9997965730534828,
                0.9997388097659065,
                0.9994472214123427,
                0.9999251537739619,
                0.9997388097568628,
                0.9993736659214273,
                0.9998601779440089,
                0.9996200154772444,
                0.9990889486372231,
                0.9998911030425244
            ],
            [
                0.9982992774842037,
                0.9992903296521266,
                0.9997694932050405,
                0.9978172837777761,
                0.9997694933452588,
                0.9995121428297894,
                0.9993736657685477,
                0.9994472213409837,
                0.9997694932061472,
                0.9986749774731043
            ],
            [
                0.9993736657019816,
                0.9990889486653034,
                0.9998601779595598,
                0.9999151889287515,
                0.9999546021375924,
                0.9968273164506147,
                0.9997965729610826,
                0.999820472106114,
                0.9999646437453373,
                0.9999339478713302
            ],
            [
                0.9998911031301132,
                0.9993736658427286,
                0.9998415637086759,
                0.9998766054412407,
                0.9999485577744218,
                0.9999339478793425,
                0.998498818086152,
                0.9999038976198575,
                0.9999339478554053,
                0.999769493206013
            ],
            [
                0.9988304895709409,
                0.9984988180139098,
                0.9990889489073774,
                0.9994472214063291,
                0.9993736659455471,
                0.9989677687212375,
                0.999195913997074,
                0.9999251537907428,
                0.9996646497734691,
                0.9997694932883358
            ],
            [
                0.9999038975511095,
                0.9990889487080068,
                0.9986749775562905,
                0.9996200155624438,
                0.9999339478791743,
                0.9999646437537077,
                0.9999417087210247,
                0.9999151889186434,
                0.9997694933723688,
                0.9999417087415261
            ],
            [
                0.9998601779446762,
                0.9999485577927903,
                0.9992903297047572,
                0.9996200154834131,
                0.9999546021478326,
                0.9999485577987188,
                0.9999485577619338,
                0.9998911030923485,
                0.9999151889891562,
                0.9998766053666631
            ],
            [
                0.9999251537918302,
                0.9999251537745651,
                0.9998911030783925,
                0.9999546021422833,
                0.9997965729320306,
                0.9998601778769839,
                0.9998415637844151,
                0.9999251537817928,
                0.9997965730531276,
                0.9998415637471496
            ],
            [
                0.9989677689092257,
                0.9997040429103307,
                0.9993736657286881,
                0.9992903295610239,
                0.9997965730043467,
                0.9996200154750334,
                0.9998415637288326,
                0.9996646499354791,
                0.9991959138806725,
                0.9996200155215521
            ],
            [
                0.9995694428745607,
                0.9998601779767078,
                0.9994472214728,
                0.9995694428843306,
                0.9997965729795745,
                0.9997694932067508,
                0.999860177877527,
                0.9997694931809888,
                0.9997694933538639,
                0.9993736658071684
            ],
            [
                0.9999038975398333,
                0.9998601778954277,
                0.9978172834892396,
                0.9999038975516046,
                0.999933947879779,
                0.9998415638032324,
                0.9997965730297228,
                0.9998415637868311,
                0.9995121428303003,
                0.9997694932594752
            ],
            [
                0.9947798735664964,
                0.9984988176157048,
                0.9997388096970687,
                0.998674977586176,
                0.9978172831256532,
                0.998830489780229,
                0.9999151889895388,
                0.9999687980923926,
                0.9994472214925452,
                0.9978172839217908
            ],
            [
                0.9997040428424937,
                0.9999151889593266,
                0.9993736659458021,
                0.9999339478713302,
                0.9996646498999843,
                0.9999251537551219,
                0.9995121428350687,
                0.9996200154777308,
                0.9964063981847447,
                0.9997388096308225
            ],
            [
                0.9996646500161377,
                0.9993736659024449,
                0.9998204719711752,
                0.999876605396149,
                0.9999599363132887,
                0.99979657310298,
                0.9998415638405949,
                0.9998415638251801,
                0.9995694429355096,
                0.9998204720783772
            ],
            [
                0.9997388097924064,
                0.9998601779110823,
                0.9999339478399971,
                0.9997388097598342,
                0.9999646437577874,
                0.9999417087567704,
                0.9999339478714786,
                0.9999038975971584,
                0.999975699756404,
                0.9996646499384548
            ],
            [
                0.9999038975508551,
                0.9999251537461239,
                0.9999546021368443,
                0.999664649813657,
                0.9998601778943615,
                0.9999151889386338,
                0.9998911030662013,
                0.9997040428072405,
                0.9999599362983743,
                0.9999546021370058
            ],
            [
                0.9988304899770062,
                0.9998415637845766,
                0.9997040429395647,
                0.9999151889899053,
                0.9998911030543384,
                0.9978172840713836,
                0.9993736659362198,
                0.9997965729842863,
                0.9999038975399955,
                0.9982992773917019
            ],
            [
                0.9998601778775554,
                0.999796572979246,
                0.9996646499746717,
                0.9998911031040073,
                0.9998415637105939,
                0.9998415638221764,
                0.9997040428463255,
                0.9999485577927315,
                0.999620015570547,
                0.9998766054110851
            ],
            [
                0.9998204720155662,
                0.999975699765117,
                0.999860177893621,
                0.9998911031177352,
                0.9997388097898985,
                0.9999038976088861,
                0.9999038975741374,
                0.9998415637278391,
                0.9999251537641798,
                0.9998601779471623
            ],
            [
                0.9999724643188915,
                0.999769493182498,
                0.9995694430020949,
                0.9993736657451202,
                0.9978172836388325,
                0.9993736657737943,
                0.998967768854846,
                0.9997040429059132,
                0.99951214294687,
                0.9997388097052611
            ],
            [
                0.9998766054562629,
                0.9997694933718791,
                0.9999038976118213,
                0.9999151889391621,
                0.9999151889798119,
                0.9997040429424149,
                0.9997965729808235,
                0.9998911030918558,
                0.9999251537820483,
                0.9998601779627295
            ],
            [
                0.9999151889892426,
                0.9999724643056468,
                0.9993736658712205,
                0.9998911030784605,
                0.999941708714038,
                0.9999251537909144,
                0.9997040429079024,
                0.999903897609521,
                0.9997040429431555,
                0.9999339478556682
            ],
            [
                0.9998204720142002,
                0.9997694933444807,
                0.9994472213468686,
                0.9997388097892221,
                0.999841563822271,
                0.9997965730047492,
                0.9997040428036582,
                0.9993736658586141,
                0.9995694428675965,
                0.9998601779442328
            ],
            [
                0.9994472213359027,
                0.9975273774291297,
                0.9986749777308275,
                0.999195913929824,
                0.9999485577987188,
                0.9991959142204768,
                0.9995694428741347,
                0.9998601778597382,
                0.9997040428011784,
                0.9998601779439805
            ],
            [
                0.9997965730812325,
                0.999569442836333,
                0.9999687980812275,
                0.9998204719925676,
                0.9999785550567449,
                0.9990889488386601,
                0.9998911030530803,
                0.9998601779105207,
                0.9999417087137297,
                0.9999038975396305
            ],
            [
                0.9999151889185262,
                0.9999038975395677,
                0.999876605426039,
                0.9999546021370209,
                0.9996646498982378,
                0.999820472100561,
                0.9978172840348728,
                0.9998911031043654,
                0.9999151889796726,
                0.9995694428673085
            ],
            [
                0.9995121429807595,
                0.9998415638043874,
                0.9997694932616752,
                0.9996200155320321,
                0.9998204721141695,
                0.9999546021476804,
                0.9997694932652769,
                0.9997040430107772,
                0.9997965730773138,
                0.9998415637105524
            ],
            [
                0.999903897539506,
                0.999841563772419,
                0.9997694932356986,
                0.9998911030918749,
                0.9978172838087089,
                0.9992903294664126,
                0.9998766054120742,
                0.9998601778605603,
                0.9999339478719064,
                0.9997040429420964
            ],
            [
                0.00026119033673451534,
                0.00013982205683325005,
                5.829126546944542e-05,
                0.9998911030966061,
                0.00023050679489242738,
                0.9999417087418132,
                0.00010889689563466869,
                8.48110715470758e-05,
                8.481106131796259e-05,
                5.144221974927673e-05
            ],
            [
                4.006367783047594e-05,
                4.006369215458579e-05,
                6.605217608630573e-05,
                5.144219520863158e-05,
                3.535625067177463e-05,
                5.8291272364888606e-05,
                6.962257184653763e-06,
                5.144220746828593e-05,
                8.481108133316306e-05,
                4.539786319306454e-05
            ],
            [
                0.9998601779629859,
                0.9997388095690449,
                0.9998204719733406,
                0.995929861604571,
                0.9997388097557608,
                0.9995121429359425,
                0.9995694429699672,
                0.9994472213022331,
                0.9997965730608286,
                0.9997965730059154
            ],
            [
                0.9997388097557608,
                0.9996646497812451,
                0.9999151889396508,
                0.9999687980849604,
                0.9999151889286763,
                0.9996200154803508,
                0.9999339478555024,
                0.999876605469908,
                0.999796573053175,
                0.9998766054417111
            ],
            [
                0.9998766054561641,
                0.9994472213591209,
                0.9998415637092546,
                0.9999251537549951,
                0.9999832985722157,
                0.9996646498213354,
                0.9997694932940234,
                0.9990889489447298,
                0.9998766054267787,
                0.9999038976000696
            ],
            [
                0.9996200154394702,
                0.9999599363031565,
                0.9999251537998807,
                0.9999599363222165,
                0.9999038975627116,
                0.9999038975519415,
                0.9998911031056156,
                0.9998766054421402,
                0.999820472078257,
                0.9999151889691732
            ],
            [
                0.999620015419649,
                0.9984988175495699,
                0.998498818088246,
                0.992422757072337,
                0.9984988175731272,
                0.9996646500220404,
                0.999290329628804,
                0.9953904274830423,
                0.9978172834075976,
                0.9992903295806315
            ],
            [
                0.999891103065482,
                0.9999417087071778,
                0.9998766054113328,
                0.9989677688446422,
                0.9998415637092224,
                0.9997040427685171,
                0.9999546021208978,
                0.9996200155391955,
                0.9999417087277118,
                0.9998766053814608
            ],
            [
                5.829125856424875e-05,
                1.8925141467679015e-05,
                0.00015843619728395003,
                2.753568781423318e-05,
                0.000139822073027029,
                5.8291251564902706e-05,
                4.006368738595465e-05,
                4.5397879432165314e-05,
                0.00015843619731161225,
                4.006368262111344e-05
            ],
            [
                0.9982992775075269,
                0.9968273164874325,
                0.9996200153959917,
                0.9998204720811799,
                0.9947798742097167,
                0.9964063982105892,
                0.9998601779619402,
                0.9998766053670096,
                0.9995694429335557,
                0.9998911030788012
            ],
            [
                0.9997040429062146,
                0.9999599363126407,
                0.9998204720777556,
                0.9988304897844448,
                0.9999151889589687,
                0.9959298614950907,
                0.9992903295636658,
                0.9997388096003176,
                0.9988304896590623,
                0.999512142950645
            ],
            [
                0.999925153800068,
                0.9999251537375028,
                0.9999756997650896,
                0.999948557792958,
                0.9999546021260848,
                0.9999687980961566,
                0.9998204720577346,
                0.9996200154513321,
                0.9998911031172615,
                0.9999151889396668
            ],
            [
                3.535626754334737e-05,
                3.120192249712832e-05,
                7.4846218032397e-05,
                0.00013982204016952795,
                5.1442213603354026e-05,
                5.829128635171172e-05,
                6.605215241483182e-05,
                2.1444943298944354e-05,
                4.539785238918559e-05,
                4.539786861523573e-05
            ],
            [
                2.4300246517938825e-05,
                4.5397868609620665e-05,
                4.006369690762278e-05,
                4.0063692167994334e-05,
                0.0001398220236441466,
                5.144223199097187e-05,
                4.0063711244273545e-05,
                9.61024148058974e-05,
                2.7535704212311033e-05,
                3.535625910055016e-05
            ],
            [
                0.9986749774047067,
                0.9991959141674438,
                0.9995694428504617,
                0.9999339478240112,
                0.9982992779392018,
                0.9999251537999178,
                0.9994472214173272,
                0.9995694428203254,
                0.9996646499770816,
                0.9999038976206601
            ],
            [
                0.9998415638036543,
                0.9999485577864269,
                0.9995694428380114,
                0.999986992871546,
                0.9999885212264145,
                0.999941708741619,
                0.9999038975974324,
                0.9999339478320275,
                0.9998766053973448,
                0.9999599363080462
            ],
            [
                0.9996646499367474,
                0.9978172831170327,
                0.9995694429656459,
                0.9992903294744621,
                0.9978172836008005,
                0.9995694428774665,
                0.9998911030403949,
                0.9997694933725096,
                0.9991959140964992,
                0.9998415637093215
            ],
            [
                0.9999417087276834,
                0.9999687981000449,
                0.999195914030886,
                0.9999417087555634,
                0.9999546021207254,
                0.9999251537821963,
                0.9999251537818369,
                0.9999038976084037,
                0.999954602126204,
                0.9998601779265519
            ],
            [
                0.0001795279862699701,
                8.481101097331865e-05,
                4.5397879429522924e-05,
                8.481108168178473e-05,
                9.610244908760198e-05,
                3.120191136263821e-05,
                0.00013982202301348454,
                4.5397857772875786e-05,
                0.00010889696094085623,
                0.0001584362350152198
            ],
            [
                0.9999038975853941,
                0.9999417087068865,
                0.9997965730826709,
                0.9999251537821963,
                0.9998415637865452,
                0.9998204719757489,
                0.9996646498172961,
                0.99987660544251,
                0.9990889488990063,
                0.9991959141109967
            ],
            [
                0.9996200155209993,
                0.9999339478797136,
                0.9999038976085115,
                0.9940889319673781,
                0.9995694429780712,
                0.9997040429754207,
                0.9988304896570225,
                0.99966464977383,
                0.9996646499746717,
                0.9997388096317498
            ],
            [
                4.539786862316288e-05,
                3.535626334323525e-05,
                0.00015843627300467938,
                5.144221363404434e-05,
                0.00013982209040686196,
                7.484624500496053e-05,
                0.00012339458918246535,
                7.48462181396708e-05,
                1.4738985481520185e-05,
                9.610242629256036e-05
            ],
            [
                0.9992903297482238,
                0.9998766053823962,
                0.9999339478802008,
                0.9982992778838589,
                0.9999485577803031,
                0.999820472078257,
                0.9995121428462234,
                0.9988304899833976,
                0.9999151889791542,
                0.9998766053971258
            ],
            [
                0.9996200155443471,
                0.9999546021369674,
                0.9997388096669285,
                0.9995694428895161,
                0.9992903296473795,
                0.9996200154332795,
                0.9999417087426393,
                0.9984988174068303,
                0.9999687980738113,
                0.9996646500217575
            ],
            [
                0.9998204719945448,
                0.9980732651159374,
                0.9998766054259134,
                0.9993736658339843,
                0.998830489701627,
                0.9998204719722488,
                0.9997040428685675,
                0.9995121429029612,
                0.9991959142021911,
                0.9992903294893637
            ],
            [
                0.9995694428301954,
                0.999964643749482,
                0.9996646498969304,
                0.999841563807573,
                0.9975273769249129,
                0.9997388097046228,
                0.9999038975514634,
                0.9996646497384523,
                0.99989110310585,
                0.9999599363175299
            ],
            [
                8.481103106933806e-05,
                0.000139822090473997,
                7.484620928658632e-05,
                0.00013982205664201698,
                9.610246059873997e-05,
                6.605212089917383e-05,
                7.484626275143474e-05,
                6.605217609735863e-05,
                3.5356238042506135e-05,
                7.484620917931251e-05
            ],
            [
                0.9990889487109738,
                0.9998415637281018,
                0.9998204719492134,
                0.9997694933479818,
                0.9999417087068513,
                0.9999485577621218,
                0.9998204720370056,
                0.9988304897611905,
                0.9998911030548707,
                0.9998601779771168
            ],
            [
                0.9994472214812578,
                0.9999151889894796,
                0.999968798081304,
                0.9999038975976156,
                0.9997965730533822,
                0.9999151889893241,
                0.9990889489818169,
                0.9996646498951547,
                0.9999910603058337,
                0.9999756997651056
            ],
            [
                0.9992903294641835,
                0.9971990736903474,
                0.9998601779271561,
                0.9999417087140235,
                0.999925153746154,
                0.9997040430120947,
                0.9997694933715304,
                0.9998601778941887,
                0.9998766054705328,
                0.9998766054121748
            ],
            [
                0.9997388097906812,
                0.997199073105064,
                0.9999339478478371,
                0.99937366585559,
                0.9902915228559342,
                0.9999646437409301,
                0.9986749776735214,
                0.9996646498376096,
                0.9997694933684987,
                0.9997694932310036
            ],
            [
                0.9998204720569849,
                0.9998415637476752,
                0.9999038975972926,
                0.9996646499760572,
                0.9998415637290908,
                0.9999339478319247,
                0.9999339478657003,
                0.999915188969805,
                0.9998204719792803,
                0.9999151889391757
            ],
            [
                0.9998766053856819,
                0.999796572933765,
                0.9995694428461279,
                0.9998911030538234,
                0.9996646498607232,
                0.9995694429223578,
                0.9998601779461045,
                0.9992903297525995,
                0.99896776911462,
                0.9995121428925446
            ],
            [
                0.9994472214233087,
                0.9990889489286232,
                0.9998204720779462,
                0.999664649821755,
                0.9999038975514479,
                0.9995121429013434,
                8.93969736942758e-06,
                0.9998766054112287,
                0.9999151889794664,
                0.9982992778480836
            ],
            [
                0.9978172835642897,
                0.9924227596916029,
                0.9989677688751333,
                0.9968273178865054,
                0.9875683493983609,
                0.9940889303885414,
                0.9940889298440205,
                0.9994472212785326,
                0.9975273767928288,
                0.9996646497783962
            ],
            [
                0.9997965731023288,
                0.9999785550440513,
                0.9995694429320776,
                0.9998204720781003,
                0.9999546021206008,
                0.9992903294888271,
                0.9998911030914723,
                0.9999810748450044,
                0.9999251537373908,
                0.9999810748585637
            ],
            [
                0.9999646437619653,
                0.9999832985841434,
                0.999995777167563,
                0.9999646437418116,
                0.9999756997593651,
                0.9998911031323015,
                0.9999151889185471,
                0.9999151889692287,
                0.9999151889489457,
                6.962257078553231e-06
            ],
            [
                7.484626278192885e-05,
                0.0001398220400515331,
                9.610239202344896e-05,
                0.00013982209006304925,
                0.000123394589256077,
                1.670142980380249e-05,
                8.481108141090879e-05,
                8.481101082523169e-05,
                0.00048785717094850493,
                6.60521524619268e-05
            ],
            [
                0.9999251537644955,
                0.9999687980775609,
                0.9999251537821854,
                0.9999038975402654,
                0.9998911031044335,
                0.9999599363174381,
                0.9980732656420301,
                0.9998911030527713,
                0.9997965731067743,
                0.9997040428386963
            ],
            [
                0.9902915227037172,
                0.9982992776199916,
                0.9996646497388522,
                0.9997388095744026,
                0.9996646498211891,
                0.999704042980725,
                0.9999339478318334,
                0.9940889314940008,
                0.9997965730088395,
                0.9998766054270857
            ]
        ]
    },
    {
        "q_id": "10754_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            113
        ],
        "rewards": [
            [
                1.3007134658505415e-05,
                1.4738988982594524e-05,
                5.144221360709674e-05,
                7.889262579299453e-06,
                2.430025225511712e-05,
                3.535623784005716e-05,
                1.01299933928585e-05,
                1.4738981951974817e-05,
                4.539785232659414e-05,
                6.9622545872301346e-06
            ],
            [
                1.3007123801954964e-05,
                1.892515047774492e-05,
                2.144495860837422e-05,
                1.0129988562164371e-05,
                4.006369207500901e-05,
                2.4300243593170955e-05,
                1.892515047774492e-05,
                1.0129992185299915e-05,
                0.00012339452887838234,
                4.006369687293547e-05
            ],
            [
                6.962253756232077e-06,
                1.1478773592796574e-05,
                1.6701417841747264e-05,
                1.147876401160283e-05,
                1.147876674301895e-05,
                1.0129994598482479e-05,
                1.8925148224556773e-05,
                1.4738983722270186e-05,
                2.753569107391384e-05,
                7.889263523869684e-06
            ],
            [
                NaN,
                5.144223405470907e-05,
                2.7535694326282365e-05,
                6.144173128665849e-06,
                3.120191503758479e-05,
                1.8925143717561654e-05,
                8.939697367037201e-06,
                6.6052167540969e-05,
                2.14449560556576e-05,
                8.93969736547614e-06
            ],
            [
                0.9997694932319493,
                0.9971990729112701,
                4.0063711214250056e-05,
                0.9998766054404579,
                0.9982992779176576,
                0.9997965730998162,
                0.9999417087346832,
                0.9998911030649592,
                0.9997965730284383,
                0.9980732656532236
            ],
            [
                3.120192619909121e-05,
                0.9902915246646304,
                1.4738988963237942e-05,
                3.5356267539488744e-05,
                0.9984988175209522,
                0.09534945911506375,
                0.11920290950590738,
                0.9989677688086293,
                0.9997694932096549,
                0.9988304896931957
            ],
            [
                0.999512142841086,
                0.9986749775431963,
                0.9998766053822562,
                0.9994472214641816,
                0.9999885212291401,
                0.9988304894919309,
                0.999876605455103,
                0.9998911030522912,
                0.9996200155261178,
                0.9996646498073443
            ],
            [
                2.144494072048475e-05,
                5.829126543678972e-05,
                4.006370640116439e-05,
                0.0001398221062486945,
                6.605217588302838e-05,
                4.0063701685728496e-05,
                2.1444956039040486e-05,
                0.00010889690749771475,
                3.5356267456785565e-05,
                4.006369214729855e-05
            ],
            [
                2.7535694330088887e-05,
                6.144175332596544e-06,
                1.3007130004960144e-05,
                2.4300234903469775e-05,
                1.670142581574095e-05,
                8.481104059565136e-05,
                2.430024645066518e-05,
                6.144177530291754e-06,
                1.4738976694494812e-05,
                1.8925148209685606e-05
            ],
            [
                1.012999217687916e-05,
                3.120191125775649e-05,
                3.120191872978506e-05,
                1.4738983716586539e-05,
                8.939698433584547e-06,
                8.939697362191404e-06,
                1.473898899256772e-05,
                1.147876812106705e-05,
                5.422217029509618e-06,
                6.962254586824882e-06
            ],
            [
                8.939700562988356e-06,
                2.753570420569971e-05,
                1.892514597563747e-05,
                1.1478773597390071e-05,
                2.75357009146638e-05,
                7.88926258417858e-06,
                4.785096775171854e-06,
                1.892515499864894e-05,
                3.120191489842352e-05,
                1.3007133112307748e-05
            ],
            [
                0.9999485577925665,
                0.9998911030918749,
                0.999903897573904,
                0.9998601778597382,
                0.9971990732312251,
                0.9859363698704107,
                0.9998415637654089,
                0.9997965729788819,
                1.1478766740638685e-05,
                0.9999038975857045
            ],
            [
                3.120190387154201e-05,
                7.889260702744606e-06,
                1.0129995806317745e-05,
                9.6102379963471e-05,
                7.889265404759017e-06,
                6.962259568230874e-06,
                1.0129993389984017e-05,
                7.889261641158302e-06,
                6.605212852134736e-05,
                2.1444956075707356e-05
            ],
            [
                1.3007131561804229e-05,
                0.9996646500200989,
                0.9875683506560948,
                3.120192616072537e-05,
                0.9999038975737626,
                0.9986749774792663,
                1.8925141461620395e-05,
                0.9996200155195181,
                0.9992903294907259,
                1.8925152733687252e-05
            ],
            [
                0.9968273172267321,
                0.9999599363222412,
                2.1444950953735936e-05,
                0.9999646437451076,
                0.9997388096621711,
                0.9999038975967038,
                0.9999687980812002,
                0.9996200155644779,
                0.9998911030521819,
                0.999373665985115
            ],
            [
                4.0063696860401394e-05,
                3.535625481387728e-05,
                1.3007133107008012e-05,
                1.3007126901777358e-05,
                8.939694170729447e-06,
                2.7535700861873406e-05,
                6.962256247098965e-06,
                6.962258737814774e-06,
                7.889265400898766e-06,
                1.1478773593172406e-05
            ],
            [
                4.7850939176760526e-06,
                1.4738980202752053e-05,
                8.93969949421299e-06,
                1.0129995793751098e-05,
                4.539786844348078e-05,
                1.0129992185760567e-05,
                6.1441760654483806e-06,
                3.288749849209925e-06,
                3.120191128409043e-05,
                1.8925143703310122e-05
            ],
            [
                0.9997965730274498,
                0.9999785550516325,
                0.9999251537996787,
                0.9998766054549523,
                0.9999599363079317,
                0.9996200155449441,
                0.9998415637665915,
                0.9998415637651323,
                0.9999038975852612,
                0.9999485577864431
            ],
            [
                0.00010889688211108299,
                0.9997694932077972,
                0.9999251537729549,
                0.9999687980812391,
                0.9997040428693426,
                0.9999151889892834,
                0.997199072653095,
                0.9999339478242443,
                0.9998415637467185,
                0.9999724643188332
            ],
            [
                1.012999459535003e-05,
                1.3007126899411407e-05,
                1.4738988985382731e-05,
                3.120192238861431e-05,
                2.753568121974442e-05,
                0.000335350286729827,
                1.3007123802522791e-05,
                3.53562464218883e-05,
                1.1478766754064213e-05,
                1.3007133104831333e-05
            ],
            [
                7.889264464895484e-06,
                7.889263523453522e-06,
                2.9023116380522973e-06,
                1.1478768123551712e-05,
                7.889264465067689e-06,
                2.1444940731484803e-05,
                6.962257075741783e-06,
                1.3007131560621253e-05,
                3.7266397265775917e-06,
                1.300712380408432e-05
            ],
            [
                0.14804720179063333,
                0.008577483623818079,
                8.481100997990198e-05,
                3.12019075723676e-05,
                0.9997965731011569,
                0.008577486379938054,
                0.9993736657194339,
                0.9947798732884124,
                0.06754668879328725,
                0.9953904273377531
            ],
            [
                1.1478769490053603e-05,
                3.535625063627531e-05,
                1.8925152715649072e-05,
                1.892514593646297e-05,
                4.222832940162684e-06,
                1.14787667504103e-05,
                7.889264464106214e-06,
                6.962257078819179e-06,
                1.8925141455974863e-05,
                4.2228344494606135e-06
            ],
            [
                7.889263520052485e-06,
                1.4738985430260109e-05,
                1.3007128437516779e-05,
                1.892515499389843e-05,
                1.6701427797619914e-05,
                0.9324533069832973,
                5.422219612229437e-06,
                8.93969629296111e-06,
                1.6701415862117537e-05,
                6.144175332440078e-06
            ],
            [
                6.962256247998122e-06,
                5.422218320287462e-06,
                4.785096201883015e-06,
                1.0129987352948008e-05,
                1.892515725376564e-05,
                3.120191133017482e-05,
                6.962258732597129e-06,
                1.8925155000714377e-05,
                1.3007130006048483e-05,
                5.144220119099521e-05
            ],
            [
                2.4300252288444548e-05,
                2.4300246505474193e-05,
                4.5397873946245314e-05,
                1.3007123805078022e-05,
                2.4300243524748098e-05,
                8.939698431682001e-06,
                7.889265399922942e-06,
                3.120191877428034e-05,
                2.753570091616638e-05,
                1.4738983711117369e-05
            ],
            [
                0.9993736658746089,
                0.9947798740525389,
                0.9999339478240382,
                0.9996646499314886,
                0.9997965730041041,
                0.9971990732481333,
                0.9998204720991113,
                0.9998601778764935,
                0.9990889489368884,
                0.9997694931771458
            ],
            [
                5.422217675756574e-06,
                1.473897845240349e-05,
                1.8925148223661747e-05,
                4.006371117635632e-05,
                5.422218323019487e-06,
                1.0129987352948008e-05,
                4.222831933726245e-06,
                5.422218321855664e-06,
                2.753568122134716e-05,
                1.4738976681250846e-05
            ],
            [
                1.3007133103127848e-05,
                1.1478765376914098e-05,
                1.3007131555463476e-05,
                1.670142979608617e-05,
                1.892514822620912e-05,
                1.670142580759932e-05,
                0.9947798734891166,
                2.430023191779461e-05,
                0.9980732650608656,
                1.0129993390610508e-05
            ],
            [
                2.144494840289258e-05,
                5.4222183217274465e-06,
                2.5612834315811786e-06,
                1.3007126906982452e-05,
                1.3007129989581452e-05,
                1.4738983719053027e-05,
                4.22283293414826e-06,
                1.3007130009313495e-05,
                3.120190012667564e-05,
                5.42221832010993e-06
            ],
            [
                5.829124444299263e-05,
                6.144172395624368e-06,
                1.8925141430088028e-05,
                3.535624636015035e-05,
                3.535626752263942e-05,
                0.996406397481107,
                2.1444956062288846e-05,
                3.1201903886071075e-05,
                7.889265403166124e-06,
                1.147877222485351e-05
            ],
            [
                0.9999251537640033,
                0.9999485577741969,
                0.9999485577991641,
                0.9997388096969853,
                0.9998601779603228,
                0.9996646499352254,
                0.9579122755387537,
                0.9998601778763999,
                0.00033535021916465256,
                0.9997965729558203
            ],
            [
                7.8892654060075e-06,
                2.1444950927991115e-05,
                2.144495860837422e-05,
                6.144176063224333e-06,
                5.422218322565793e-06,
                2.1444953504969666e-05,
                2.144494072680393e-05,
                0.00015843625088642193,
                2.753569101320991e-05,
                1.147876400087076e-05
            ],
            [
                6.14417606112322e-06,
                1.473898723042186e-05,
                0.00026119019725050663,
                1.1478769486170011e-05,
                3.1201903857921005e-05,
                2.1444953481409255e-05,
                1.4738985479214553e-05,
                0.9988304894935628,
                7.484625327593874e-05,
                6.962254584444015e-06
            ],
            [
                1.670142182913856e-05,
                1.3007128460040644e-05,
                4.5397863120399e-05,
                4.785093923420688e-06,
                1.8925145968614975e-05,
                1.1478766754377407e-05,
                2.4300249397180202e-05,
                2.753568108821928e-05,
                4.539785744059611e-05,
                4.22283294098842e-06
            ],
            [
                0.9995694429667106,
                0.9996646498922374,
                0.9994472214563673,
                0.9998415637461929,
                0.9975273767365493,
                0.9996646497751862,
                0.9993736657698229,
                0.9999485578049561,
                0.999373665836389,
                0.9996646497322079
            ],
            [
                2.4300232020075242e-05,
                2.1444955987862894e-05,
                0.9988304898351689,
                6.962253750102616e-06,
                9.610239158227286e-05,
                1.6701427799260394e-05,
                1.1478766749992709e-05,
                1.89251572498413e-05,
                1.1478773587200861e-05,
                2.144494327998681e-05
            ],
            [
                1.1478765381257036e-05,
                3.535623803067304e-05,
                8.939700553134145e-06,
                1.0129994587353076e-05,
                2.4300246489738706e-05,
                2.7535687767453096e-05,
                2.4300249375698603e-05,
                7.889264465067689e-06,
                0.7772998560157663,
                1.892514595381266e-05
            ],
            [
                1.1478770838077277e-05,
                7.88926258185382e-06,
                1.3007123788610999e-05,
                1.4738988994015443e-05,
                2.7535697600689013e-05,
                1.4738980198784224e-05,
                8.939700554565119e-06,
                2.753568778267916e-05,
                4.78509620261415e-06,
                8.939694170940841e-06
            ],
            [
                0.9997965730541754,
                0.9998766054700301,
                0.9998601778596691,
                0.9999546021097816,
                0.9997388095677606,
                0.9995694428621354,
                0.9999339478789913,
                0.9997388097240324,
                0.9993736658329642,
                0.999841563746624
            ],
            [
                1.0129995808418327e-05,
                1.4738985474174337e-05,
                1.30071253513219e-05,
                0.00010889688199066207,
                1.6701417840046025e-05,
                1.6701425811548617e-05,
                1.1478765386038447e-05,
                0.2942149659744614,
                1.3007126904001353e-05,
                6.9622562472889285e-06
            ],
            [
                1.1478770850604989e-05,
                0.932453304167687,
                1.6701415845530497e-05,
                5.422218317506122e-06,
                1.300712689874894e-05,
                8.481103039369117e-05,
                8.939697367037201e-06,
                1.012998856078241e-05,
                4.0063682218857265e-05,
                1.300713466316634e-05
            ],
            [
                4.5397852177299524e-05,
                6.144172403067661e-06,
                7.889259759222289e-06,
                2.753568777787093e-05,
                1.1478765382927399e-05,
                3.120191873909274e-05,
                1.670141983978702e-05,
                2.1444945833013964e-05,
                2.430024649530801e-05,
                0.0001398221231178984
            ],
            [
                9.610237973973672e-05,
                4.0063682489068473e-05,
                8.9396941702904e-06,
                2.7535687793096995e-05,
                1.1478773591084453e-05,
                1.892514141783309e-05,
                2.753568121974442e-05,
                8.939693094702413e-06,
                5.8291265253578496e-05,
                3.120192621634449e-05
            ],
            [
                8.93969629861996e-06,
                1.6701419846288166e-05,
                1.473897669015165e-05,
                8.939695236983711e-06,
                4.785092778880497e-06,
                5.144221966244559e-05,
                3.1201900143474856e-05,
                1.147876675082789e-05,
                3.535624625596756e-05,
                7.889264455840398e-06
            ],
            [
                5.422221551868983e-06,
                1.012999338780973e-05,
                8.939698419908987e-06,
                2.4300234891270352e-05,
                0.8354835309589074,
                1.0129992179495674e-05,
                6.60521207602918e-05,
                1.3007128460040644e-05,
                6.962255413517216e-06,
                3.535626320020894e-05
            ],
            [
                1.6701425799579208e-05,
                0.9997388096294927,
                0.9994472213900893,
                0.999290329709009,
                0.9993736659364384,
                0.999373665910752,
                0.999796573003077,
                0.9991959141690806,
                0.9996646497315151,
                0.9980732651880233
            ],
            [
                5.422218965459515e-06,
                6.144177530671741e-06,
                8.939694153069933e-06,
                1.012999097276641e-05,
                1.0129988562901417e-05,
                2.1444956064317223e-05,
                1.4738988977125352e-05,
                1.1478768122069266e-05,
                8.939698431129126e-06,
                1.0129989762757436e-05
            ],
            [
                0.0002611902951644123,
                0.0001795280261265897,
                1.4738981965808603e-05,
                2.4300252291096595e-05,
                1.4738976678891598e-05,
                3.120190391104291e-05,
                1.670142382681424e-05,
                1.0129988549284488e-05,
                7.484621791368789e-05,
                1.6701425821573757e-05
            ],
            [
                0.9998601779431668,
                0.9984988179051975,
                0.9998601779597389,
                0.9999785550490462,
                0.999978555046496,
                0.999903897596964,
                0.9914225153624368,
                0.9999785550592668,
                0.9999339478318156,
                1.012998855521771e-05
            ],
            [
                1.6701421821665273e-05,
                1.4738980202162242e-05,
                7.484624452304498e-05,
                0.9399133437246703,
                1.473898195272549e-05,
                1.892514143132729e-05,
                1.3007128460797749e-05,
                2.144495860338128e-05,
                1.3007131552624333e-05,
                8.939699497855469e-06
            ],
            [
                0.9997388097236524,
                0.999941708748561,
                0.9986749774872767,
                0.9995121429560946,
                0.9975273773791675,
                0.9992903296330969,
                0.9992903297186269,
                3.535626331905454e-05,
                0.9997388097570225,
                0.9980732655542734
            ],
            [
                1.012998734977871e-05,
                1.3007130005527972e-05,
                2.430023197207318e-05,
                4.539789022795839e-05,
                2.1444950932047874e-05,
                5.144223194755629e-05,
                0.9940889309713703,
                0.9324533149608596,
                2.753570420840434e-05,
                2.7535697636951104e-05
            ],
            [
                0.007577239629069049,
                1.3007134657984903e-05,
                0.0009110512431439448,
                1.8925150490206403e-05,
                1.4738978453315019e-05,
                0.020332354344410976,
                0.006692849636456045,
                1.3007125355060104e-05,
                0.9964063974277505,
                0.0013250221125052182
            ],
            [
                1.892515272983176e-05,
                3.2887494567788457e-06,
                5.422221554482653e-06,
                1.8925141455079837e-05,
                1.670142978022822e-05,
                6.962257908196617e-06,
                8.939696287107124e-06,
                1.0129993388915298e-05,
                1.300712535865635e-05,
                1.670142581227772e-05
            ],
            [
                4.785095062930243e-06,
                2.1444956069076118e-05,
                1.8925145958150083e-05,
                5.829125838103755e-05,
                8.93969629829474e-06,
                3.5356267424887605e-05,
                6.144175333021237e-06,
                8.481105024228644e-05,
                2.1444958610714655e-05,
                3.5356242177147305e-05
            ],
            [
                2.1444950950771382e-05,
                3.2887502396310385e-06,
                1.8925143697939984e-05,
                0.00015843615298060897,
                1.0129989761357048e-05,
                2.1444940718222327e-05,
                5.144221324367852e-05,
                1.1478773595009805e-05,
                1.4738981957068655e-05,
                1.8925143705306717e-05
            ],
            [
                1.1478769488257963e-05,
                0.999447221272712,
                0.9940889319564329,
                6.144176796042727e-06,
                0.9995694429172851,
                0.9996200155164447,
                0.9992903297294833,
                0.9971990724788106,
                7.889260701697028e-06,
                1.67014258067487e-05
            ],
            [
                6.144173134522134e-06,
                8.939700556744102e-06,
                1.0129989765595064e-05,
                1.670142778540747e-05,
                1.3007134658978603e-05,
                3.535626331056557e-05,
                1.1478768119563723e-05,
                2.1444940731484803e-05,
                1.3007126901777358e-05,
                4.222833946199938e-06
            ],
            [
                0.9997965729339366,
                0.9988304897941,
                0.07585818472206421,
                1.670142382796865e-05,
                0.017986206540559057,
                2.7535684488840414e-05,
                0.9706877671287282,
                0.9998766053968027,
                0.9992903297234978,
                0.02033235352816842
            ],
            [
                6.962253757840428e-06,
                2.753570420569971e-05,
                1.4738978450419574e-05,
                1.1478766745190422e-05,
                6.144173136131494e-06,
                1.3007128458384476e-05,
                1.3007130007988564e-05,
                1.1478764015736973e-05,
                1.3007126900594382e-05,
                8.939696302831578e-06
            ],
            [
                1.0129988558055338e-05,
                8.939696300636336e-06,
                1.3007128455545335e-05,
                4.539785762159935e-05,
                1.3007134647006878e-05,
                0.00012339458574246747,
                6.60521205709509e-05,
                4.0063701563302636e-05,
                2.430024069518912e-05,
                1.4738988973747334e-05
            ],
            [
                2.1444943292703185e-05,
                1.8925152736303473e-05,
                4.785093353687772e-06,
                7.889265405333033e-06,
                4.7850933519861414e-06,
                6.144173868882483e-06,
                1.3007128457958606e-05,
                7.484623559263308e-05,
                0.96691402411401,
                6.9622554187981796e-06
            ],
            [
                1.8925148205003943e-05,
                2.753569436294514e-05,
                8.93970056399654e-06,
                3.5356242202356964e-05,
                1.8925150466660388e-05,
                3.120191503554163e-05,
                2.430023491664161e-05,
                3.535625063087323e-05,
                1.473898898859989e-05,
                0.00012339452988740005
            ],
            [
                0.9998911030909859,
                0.9999339478318457,
                0.999915188928401,
                0.9999546021422361,
                0.9999599363030898,
                0.00033535017597173154,
                0.9998766054549899,
                0.9998415638026884,
                0.999933947871151,
                0.9999485578048097
            ],
            [
                3.535626332702904e-05,
                0.9579122726851416,
                4.539785762159935e-05,
                4.785095633999427e-06,
                0.9978172835546548,
                0.9890130550013347,
                8.48110306528434e-05,
                0.9988304899344413,
                0.0002305067390626645,
                2.7535700920674098e-05
            ],
            [
                6.9622545877746946e-06,
                1.1478772224060087e-05,
                5.422220260508458e-06,
                6.9622587372828785e-06,
                2.7535694337100886e-05,
                7.889263520942206e-06,
                2.1444950939693305e-05,
                0.0001398221375905865,
                5.422218968221128e-06,
                2.1444940713541454e-05
            ],
            [
                2.4300252299759956e-05,
                8.48110300111331e-05,
                2.4300240708626165e-05,
                1.892515724357613e-05,
                8.481103084905866e-05,
                1.1478765373531616e-05,
                2.753569436164291e-05,
                2.1444958621558693e-05,
                4.5397890176101586e-05,
                2.7535684455583485e-05
            ],
            [
                0.9997694933413888,
                0.9978172833751435,
                0.9997694932602265,
                0.9998766054706494,
                0.9991959140149855,
                0.9996200155480394,
                0.9997040427626014,
                0.9998204720138449,
                0.9996646498954083,
                0.9998415637855079
            ],
            [
                6.605217517708415e-05,
                4.006368258642613e-05,
                4.006369683300133e-05,
                5.829126522007459e-05,
                1.1478772225271098e-05,
                1.0129990976156825e-05,
                7.88926256603971e-06,
                7.484623557085158e-05,
                1.4738985473530904e-05,
                2.144494830498426e-05
            ],
            [
                0.999088948832726,
                0.9890130589076414,
                0.0010322310437173405,
                0.05340333318956081,
                5.8291265240431386e-05,
                0.9986749773075021,
                0.0021827167673499014,
                0.14804720179063333,
                0.005911067871181138,
                7.484622704503191e-05
            ],
            [
                5.829125817153215e-05,
                6.605212847809689e-05,
                2.1444953506061874e-05,
                0.7549149978955811,
                5.8291251345218925e-05,
                5.144219477934163e-05,
                2.4300249381886717e-05,
                6.605214387045927e-05,
                3.1201907583945445e-05,
                6.605215237686751e-05
            ],
            [
                0.9994472213991579,
                0.9997388095690449,
                0.9999038976085254,
                0.9999151889589281,
                5.829125124682775e-05,
                0.9998204720348951,
                0.9980732651696661,
                0.9998766054403412,
                0.9997694932866993,
                0.9998766054695848
            ],
            [
                0.9999151889185262,
                0.9999546021260254,
                0.9999785550592852,
                0.9999546021314264,
                0.9999417087348511,
                0.9999724643023631,
                0.9046505267461572,
                0.9999724643122205,
                2.4300234920177672e-05,
                3.1201900049262965e-05
            ],
            [
                0.995929862565355,
                6.962257076830902e-06,
                6.605213660534067e-05,
                0.9740426442150328,
                5.829125144488242e-05,
                1.8925145972677006e-05,
                1.6701419297214545e-05,
                6.605213656401244e-05,
                0.9940889315405176,
                0.9840936113496374
            ],
            [
                2.5612815996464693e-06,
                7.889264459829802e-06,
                1.0129993389984017e-05,
                7.889263523008662e-06,
                2.1444940712293222e-05,
                3.7266383940901643e-06,
                6.144173134700951e-06,
                5.82912653044705e-05,
                8.93969416601374e-06,
                1.1478772216167625e-05
            ],
            [
                0.9998204719931761,
                0.999796572956424,
                0.9989677689429578,
                0.9997388097274065,
                0.9959298615385052,
                0.9999646437367545,
                0.9997388097282729,
                0.999968798073818,
                0.9992903295019537,
                0.9999756997535089
            ],
            [
                8.939694168517944e-06,
                1.1478765380839446e-05,
                1.1478763995191534e-05,
                3.120190390445942e-05,
                6.1441775296994185e-06,
                1.6701419842521146e-05,
                1.3007126904521862e-05,
                2.7535697646567574e-05,
                4.006369212660275e-05,
                1.6701427804546374e-05
            ],
            [
                3.5356267511063545e-05,
                1.8925145960215522e-05,
                2.4300240709863792e-05,
                4.539787926569509e-05,
                2.1444958631232504e-05,
                3.120190759915557e-05,
                2.753569760850239e-05,
                2.1444948380970476e-05,
                2.753569762613258e-05,
                2.4300240703498875e-05
            ],
            [
                4.785093921819153e-06,
                0.9998601778931552,
                0.9998204719912955,
                3.535625483985867e-05,
                0.9999646437535324,
                0.9999785550413652,
                1.6701415859504925e-05,
                0.9999546021368217,
                0.9998766054546542,
                3.120191130088966e-05
            ],
            [
                0.9982992773171865,
                0.02033235252641624,
                0.09534946425643773,
                1.3007126903480843e-05,
                4.539788485169606e-05,
                2.4300237806931815e-05,
                0.012431651687863829,
                0.9890130565193298,
                0.04742587755326746,
                0.3486451285660856
            ],
            [
                9.61023914452356e-05,
                5.1442219692761636e-05,
                3.1201915063805214e-05,
                0.0001398220732548812,
                8.481105084450702e-05,
                6.605212871885782e-05,
                7.484623595747305e-05,
                9.610240328497651e-05,
                1.4738987231708724e-05,
                3.120190015232851e-05
            ],
            [
                3.535625899636733e-05,
                3.5356263050751576e-05,
                0.9998601779262121,
                0.9995121428864139,
                0.9980732657727698,
                0.999512142828569,
                0.9999038975983665,
                2.753568313852892e-05,
                0.9980732653796553,
                0.9997388097235763
            ],
            [
                NaN,
                1.8925141449434308e-05,
                3.535625903418184e-05,
                0.0004305570971067012,
                0.8519528076067262,
                5.14422008889577e-05,
                3.120190008626667e-05,
                4.222833947282995e-06,
                2.2603240281606297e-06,
                6.962258734066175e-06
            ],
            [
                1.6701421824277888e-05,
                8.939696301140427e-06,
                1.3007131551441357e-05,
                1.6701427811412077e-05,
                1.1478766741849697e-05,
                5.422218966643064e-06,
                6.962253757840428e-06,
                8.939696297969519e-06,
                6.144175331009535e-06,
                0.0003353499726811574
            ],
            [
                0.46879062662624377,
                5.422217675085898e-06,
                1.0129989767363975e-05,
                6.96225541916544e-06,
                1.3007134647716666e-05,
                2.430025227368147e-05,
                1.147876401423365e-05,
                0.00026119023862300315,
                6.962257077223492e-06,
                1.1478764015361142e-05
            ],
            [
                5.422219615967477e-06,
                5.422219613511613e-06,
                6.605216784083907e-05,
                1.012999459815081e-05,
                2.7535704181959054e-05,
                4.5397884753267224e-05,
                1.4738983720715225e-05,
                1.0129992184268048e-05,
                6.144177530794679e-06,
                1.3007123807727885e-05
            ],
            [
                0.9998911031170887,
                0.9995121427719446,
                0.9997965730532815,
                0.9999599362936653,
                0.9978172831114547,
                3.120190016481442e-05,
                0.9993736658563915,
                0.9953904270450382,
                0.9988304899727904,
                0.9953904270685409
            ],
            [
                4.539787391519731e-05,
                4.539787385904664e-05,
                6.962259554680193e-06,
                5.144221356106128e-05,
                3.120191872229351e-05,
                0.00015843621235755434,
                3.535625063087323e-05,
                0.0001088969342137365,
                7.889261643382609e-06,
                1.1478769458525526e-05
            ],
            [
                1.4738976694977387e-05,
                1.670141983978702e-05,
                4.006367779491416e-05,
                2.430024067255831e-05,
                4.539785771309187e-05,
                2.753569434230981e-05,
                4.222833096238127e-06,
                2.4300249383301144e-05,
                4.006367774885875e-05,
                1.670141586454787e-05
            ],
            [
                5.829127920604779e-05,
                0.11920293297380238,
                0.014063624383050068,
                0.03732689109229525,
                0.99987660543005,
                0.9902915222918358,
                0.9982992775138517,
                0.18242551713899047,
                0.9988304900010763,
                0.01406362963887351
            ],
            [
                1.670142779591868e-05,
                1.1478768116055965e-05,
                5.1442195104583964e-05,
                1.1478769488633793e-05,
                1.1478764009640154e-05,
                2.430023197207318e-05,
                3.1201926195004916e-05,
                5.422220907426478e-06,
                1.8925150470928963e-05,
                1.1478773591084453e-05
            ],
            [
                6.1441760594691555e-06,
                1.1478772220427047e-05,
                1.0129988543977756e-05,
                1.6701415868193372e-05,
                2.4300234917879235e-05,
                1.473897669245728e-05,
                5.8291244182171195e-05,
                1.0129994591922764e-05,
                9.610241359074014e-05,
                3.120192619909121e-05
            ],
            [
                0.9525741305249489,
                1.892514597494899e-05,
                2.753569103043941e-05,
                8.93969522643028e-06,
                2.4300232013798725e-05,
                0.00023050673302629014,
                1.8925152741191683e-05,
                0.7549149868676283,
                1.1478773588244838e-05,
                1.6701425800551344e-05
            ],
            [
                0.999512142771093,
                0.9982992775616838,
                0.999959936317411,
                0.9999417087067668,
                0.9998911030398498,
                0.9999687980849312,
                0.999447221460387,
                0.9998911031040073,
                0.9999251537550228,
                0.9997694932029679
            ],
            [
                6.962259568078904e-06,
                8.939699498587217e-06,
                6.9622570784012604e-06,
                2.7535681056965787e-05,
                8.939695235243779e-06,
                8.939693105272102e-06,
                2.1444945780432137e-05,
                8.939693102865466e-06,
                7.889265403883644e-06,
                1.4738983722270186e-05
            ],
            [
                1.8925145971093502e-05,
                3.120190017457614e-05,
                1.1478772225646932e-05,
                2.4300234914166368e-05,
                3.120190379639949e-05,
                0.7057850154599563,
                3.535626749357112e-05,
                1.6701425808449937e-05,
                1.4738980201465192e-05,
                8.939696290164207e-06
            ],
            [
                3.535625482005107e-05,
                5.422217029509618e-06,
                1.1478770856158943e-05,
                0.731058584489497,
                6.962254588585202e-06,
                2.7535704150505187e-05,
                1.8925141454184818e-05,
                6.144174599532449e-06,
                0.6513548646660543,
                1.4738983720179032e-05
            ],
            [
                2.4300231966238675e-05,
                4.222833443154396e-06,
                2.430023202131286e-05,
                0.00013982202181522663,
                1.892514145845339e-05,
                3.535624221779145e-05,
                2.753568448703733e-05,
                4.006369203215997e-05,
                5.829127215411085e-05,
                3.120192617525444e-05
            ],
            [
                3.5356242139332814e-05,
                2.4300234899049692e-05,
                2.753570083562846e-05,
                1.6701417845878833e-05,
                1.3007128460040644e-05,
                1.892515047774492e-05,
                2.144494328201519e-05,
                2.7535697639856078e-05,
                5.422218968595919e-06,
                5.422220262037209e-06
            ],
            [
                3.288748278373202e-06,
                2.144495859370747e-05,
                8.939700562110258e-06,
                1.3007131557025005e-05,
                8.939698429568063e-06,
                6.962259564786214e-06,
                6.962257908487893e-06,
                1.4738978442537537e-05,
                1.0129993384861544e-05,
                1.147876674819707e-05
            ],
            [
                6.962258738283349e-06,
                8.93969523358515e-06,
                4.006371121133516e-05,
                0.00015843625246777927,
                6.144177530548804e-06,
                0.9840936064513138,
                2.753570091766895e-05,
                1.4738981929454707e-05,
                2.7535694358938284e-05,
                3.1201907610960436e-05
            ],
            [
                4.006369207151113e-05,
                1.4738976675513583e-05,
                3.5356259096177054e-05,
                1.0129990975567187e-05,
                2.14449432697669e-05,
                0.9933071477012053,
                2.4300240692183467e-05,
                7.484625202132457e-05,
                9.610242495085316e-05,
                2.4300231956160894e-05
            ],
            [
                0.00017952798309638158,
                4.006371122561817e-05,
                4.0063687340044966e-05,
                3.1201907614819715e-05,
                1.147876401064237e-05,
                1.8925143711847272e-05,
                2.1444945829581326e-05,
                1.3007130009739366e-05,
                9.610237981664539e-05,
                1.300713311155064e-05
            ],
            [
                5.8291257816984546e-05,
                3.535624643449313e-05,
                3.535625063087323e-05,
                0.754914975839675,
                2.7535681185986635e-05,
                2.430024071781994e-05,
                1.4738988991495334e-05,
                5.4222183222304545e-06,
                3.120191127637186e-05,
                2.1444948371764756e-05
            ],
            [
                0.9953904268249678,
                0.9999251537730209,
                0.9914225150377214,
                0.999796572954376,
                0.9997040430080906,
                0.9999251537817111,
                0.9859363709551509,
                0.9914225130260704,
                0.9988304897144101,
                0.9971990736981513
            ],
            [
                3.1201907269981394e-05,
                4.0063682489068473e-05,
                1.8925154994724604e-05,
                8.9396973602726e-06,
                1.8925145956015793e-05,
                2.430023487960134e-05,
                6.605213665724124e-05,
                2.7535700888719377e-05,
                5.4222170296279735e-06,
                2.144495605214694e-05
            ],
            [
                5.422217675874929e-06,
                9.610241387180644e-05,
                3.5356259098234985e-05,
                1.8925145968614975e-05,
                1.4738976695942536e-05,
                1.3007126895436607e-05,
                1.670141983978702e-05,
                9.610246029110509e-05,
                1.4738980208864656e-05,
                0.9669140218496496
            ],
            [
                0.9998415637834701,
                0.9999038975396822,
                0.9995694429123752,
                0.9999151889791247,
                0.9999599363126407,
                0.9998601779110539,
                2.7535691056684346e-05,
                0.9998415637649272,
                0.9996646499719007,
                3.120190758848578e-05
            ],
            [
                1.0129987353537646e-05,
                6.962255418063657e-06,
                1.4738978439695717e-05,
                6.962255418367598e-06,
                3.1201926195004916e-05,
                2.1444956071728615e-05,
                3.535625903418184e-05,
                0.00029595712469868363,
                1.0129992180269573e-05,
                5.144219510907523e-05
            ],
            [
                1.01299933920846e-05,
                4.0063692100660134e-05,
                2.430023777599125e-05,
                2.4300246501849726e-05,
                1.1478772224060087e-05,
                0.9796676446167348,
                1.0129987342297692e-05,
                4.5397873902976276e-05,
                1.4738987231065292e-05,
                4.006367763692662e-05
            ],
            [
                0.7772998714925403,
                6.9622570730569755e-06,
                1.1478770840165228e-05,
                2.1444940696066192e-05,
                6.962256239855053e-06,
                1.1478764016780948e-05,
                2.430023782328611e-05,
                1.0129990967938758e-05,
                3.120192245603829e-05,
                5.422221549955578e-06
            ],
            [
                5.144221338253348e-05,
                1.4738983719053027e-05,
                7.889262583231455e-06,
                1.473898722420202e-05,
                2.7535684485234246e-05,
                3.535625065376772e-05,
                2.753569104967234e-05,
                8.481108084817788e-05,
                7.889266345770692e-06,
                1.0129993390942177e-05
            ],
            [
                8.939699495546396e-06,
                4.222832436379863e-06,
                1.1478766749575118e-05,
                0.00012339461798975847,
                1.670142780594382e-05,
                6.962258734066175e-06,
                1.8925141455974863e-05,
                8.939697366289195e-06,
                4.539785227077382e-05,
                7.88926258417858e-06
            ],
            [
                0.9902915232499078,
                0.9978172840698623,
                0.029312231387330964,
                1.4738978451438343e-05,
                0.020332351635969897,
                0.0008040860740575756,
                0.014063627637269758,
                1.6701417848187652e-05,
                5.829127222069457e-05,
                0.0035936020561928876
            ],
            [
                4.785095063939907e-06,
                4.222831933726245e-06,
                7.889264459829802e-06,
                2.5612815996464693e-06,
                6.1441724019276964e-06,
                1.9947290080905435e-06,
                3.288750633139005e-06,
                3.535625487510076e-05,
                1.0129993382982077e-05,
                8.939693100361262e-06
            ],
            [
                1.0129990976156825e-05,
                5.144222567363103e-05,
                1.0129995803996048e-05,
                5.82912860964034e-05,
                3.120191133017482e-05,
                1.4738985472244041e-05,
                1.3007130004960144e-05,
                1.4738988989779516e-05,
                8.939694170062744e-06,
                0.6224593382055109
            ],
            [
                2.75357009220765e-05,
                1.4738987234550548e-05,
                7.889264454147054e-06,
                0.5621765008857981,
                1.8925145970336176e-05,
                1.6701427791361794e-05,
                6.962258737092915e-06,
                2.753569106169292e-05,
                1.6701419833468143e-05,
                6.144174599174813e-06
            ],
            [
                4.539787391519731e-05,
                3.535626333461766e-05,
                1.8925145958150083e-05,
                7.889260699917581e-06,
                1.3007128456539035e-05,
                0.00010889688182587557,
                3.28875024125221e-06,
                8.939698431942181e-06,
                0.2689414213699951,
                0.00026119029775589385
            ],
            [
                1.4738980196585833e-05,
                4.006368727533419e-05,
                2.7535704202894907e-05,
                5.829125133843333e-05,
                3.535626581301173e-05,
                2.7535699802258896e-05,
                1.3007133092102508e-05,
                4.539785770912829e-05,
                6.605212835122885e-05,
                1.1478772221888615e-05
            ],
            [
                5.829127924760961e-05,
                3.535624215245212e-05,
                6.605212786105689e-05,
                2.4300232017599995e-05,
                0.9947798739824133,
                4.00636825785559e-05,
                6.144177530548804e-06,
                0.9669140197044659,
                0.0002034269199928022,
                0.00023050667867880714
            ],
            [
                1.4738988993532872e-05,
                1.670141785237998e-05,
                2.4300240702172852e-05,
                5.422221554581283e-06,
                1.012999339031569e-05,
                5.8291286034908874e-05,
                1.4738976688918406e-05,
                8.939696301140427e-06,
                2.1444953508090254e-05,
                7.889264454577566e-06
            ],
            [
                1.89251482286188e-05,
                1.89251437091622e-05,
                1.3007123806024402e-05,
                3.120190763332158e-05,
                3.535625487510076e-05,
                2.753568450657077e-05,
                8.93969629982328e-06,
                2.7535687724179013e-05,
                0.8175744761936438,
                0.00010889695886517856
            ],
            [
                1.0129995803996048e-05,
                3.120192616072537e-05,
                1.1478770855741353e-05,
                6.60521749281535e-05,
                3.5356267459872465e-05,
                1.3007128461838766e-05,
                5.144219360936745e-05,
                0.6224593382055109,
                0.9740426402120153,
                0.4073334000459302
            ],
            [
                0.9579122713334306,
                5.1442207372098016e-05,
                1.1478770853569882e-05,
                1.0129995803259e-05,
                1.1478768111295433e-05,
                7.889262583231455e-06,
                2.561283430253382e-06,
                3.28875024125221e-06,
                6.144174600180663e-06,
                1.6701421825979123e-05
            ],
            [
                2.430024647913051e-05,
                3.7266397272757976e-06,
                1.6701425778556795e-05,
                5.422218320820059e-06,
                8.93969521511258e-06,
                1.1478773591543802e-05,
                1.3007123795850811e-05,
                2.753569434872079e-05,
                1.6701423786531412e-05,
                0.9993736657884046
            ],
            [
                0.0059110688179358,
                0.007577242388402388,
                0.029312228207457852,
                0.0017007220078270506,
                0.05340333205964859,
                0.00522012558474294,
                0.9975273764568754,
                7.48462179975466e-05,
                0.020332352489314306,
                0.042087725062006816
            ],
            [
                1.8925150472994405e-05,
                1.3007133106487501e-05,
                1.147876812106705e-05,
                0.8519527963298946,
                1.4738983720715225e-05,
                4.2228324356808684e-06,
                3.5356267488169044e-05,
                0.00013982213887429003,
                1.0129987351952995e-05,
                1.4738980206290928e-05
            ]
        ]
    },
    {
        "q_id": "10766_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            16,
            18,
            19,
            20,
            22,
            23,
            24,
            26,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            53,
            54,
            55,
            58,
            59,
            61,
            63,
            64,
            65,
            66,
            67,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            81,
            83,
            84,
            85,
            87,
            89,
            92,
            95,
            96,
            97,
            98,
            99,
            100,
            102,
            103,
            105,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            124,
            126
        ],
        "rewards": [
            [
                6.962256247656188e-06,
                7.889259763326495e-06,
                1.994729008074216e-06,
                1.2098658276114334e-06,
                1.9947299592570416e-06,
                6.962257077413455e-06,
                1.9947299591826594e-06,
                5.422218323019487e-06,
                1.5534971977954905e-06,
                3.288750633139005e-06
            ],
            [
                1.3709572067356507e-06,
                5.42222155240158e-06,
                1.9947297211642184e-06,
                5.422221555069497e-06,
                6.144173136556186e-06,
                3.288748673265808e-06,
                1.4738985483504099e-05,
                1.3709572067356507e-06,
                9.422442568660309e-07,
                0.9998204720995709
            ],
            [
                1.5534973841450852e-06,
                3.2887506333812835e-06,
                8.939694167932546e-06,
                5.4222202614355715e-06,
                3.2887498483604557e-06,
                2.902311639073834e-06,
                0.00017952800507380965,
                1.994730672496148e-06,
                2.2603245672025095e-06,
                5.715004470025379e-07
            ],
            [
                4.5397873840549954e-05,
                1.8925157264023994e-05,
                7.889266346746518e-06,
                1.0129993394314164e-05,
                2.7535684526905577e-05,
                1.892514823364471e-05,
                3.535626333281696e-05,
                0.999978555059262,
                2.7535697643963113e-05,
                4.222833947498071e-06
            ],
            [
                0.9999546021259818,
                0.999985261016273,
                0.999925153799579,
                0.9999869928761908,
                0.9999974387171787,
                0.9999962733593835,
                0.9525741239613982,
                0.9999251537727775,
                0.9999921107402363,
                0.9999724642990808
            ],
            [
                1.994729959160889e-06,
                6.962256248871951e-06,
                6.144176794031025e-06,
                2.2603251061849014e-06,
                8.93969630362837e-06,
                8.31527730252048e-07,
                2.9023119851266288e-06,
                5.422219615967477e-06,
                3.726638395527247e-06,
                2.902313022984344e-06
            ],
            [
                2.260325375354421e-06,
                1.3709578604308174e-06,
                NaN,
                1.3709572068079696e-06,
                1.0677026154551157e-06,
                5.043476486058193e-07,
                9.42244256886598e-07,
                2.2603237587774727e-06,
                1.0677024880178757e-06,
                6.962257076628275e-06
            ],
            [
                9.422443692390473e-07,
                1.9947306726358406e-06,
                4.222832437677995e-06,
                4.2228324375973415e-06,
                1.0129987356541108e-05,
                2.2603240283888175e-06,
                6.962254588433232e-06,
                1.7603438428460541e-06,
                7.889265406681968e-06,
                3.288748281220719e-06
            ],
            [
                0.9999852610197889,
                0.9999832985701994,
                0.9999756997621758,
                0.9999339478711851,
                0.9999646437408798,
                0.9999852610145165,
                0.9999756997593503,
                0.9999945777829694,
                0.9998601778598543,
                0.9999974387168733
            ],
            [
                7.484625269764002e-05,
                1.209865395009523e-06,
                5.043472277838052e-07,
                5.71500719531729e-07,
                1.994729008105057e-06,
                3.28874867308036e-06,
                5.422221554847581e-06,
                2.6995777745122334e-07,
                2.5612819052374947e-06,
                5.715007195353674e-07
            ],
            [
                3.9278638755671223e-07,
                1.9947297214944016e-06,
                2.6995771309210433e-07,
                3.059023727869902e-07,
                3.1201911358551906e-05,
                2.9023130230133794e-06,
                6.144173868312501e-06,
                5.4222202623972055e-06,
                3.726640172385136e-06,
                6.475945665853783e-07
            ],
            [
                5.422217030614265e-06,
                NaN,
                1.5534981248528732e-06,
                7.338207180601138e-07,
                2.5612825159421147e-06,
                6.144172403928222e-06,
                1.370957697068717e-06,
                1.1478765387416494e-05,
                4.222835457906302e-06,
                7.889262585211807e-06
            ],
            [
                2.902312331081799e-06,
                1.370956879949281e-06,
                4.785096205434246e-06,
                8.939694165655997e-06,
                2.56128159999123e-06,
                1.0677033791291683e-06,
                2.902312677084523e-06,
                7.338209804773549e-07,
                2.902311984952413e-06,
                1.8925145980181433e-05
            ],
            [
                4.2228324375512536e-06,
                2.260324028351814e-06,
                1.0129993394664264e-05,
                4.222834450950777e-06,
                1.5534971988904843e-06,
                1.1478764016112805e-05,
                2.56128282131428e-06,
                6.475945665741875e-07,
                5.4222215537823875e-06,
                6.475947209638476e-07
            ],
            [
                0.9999962733616048,
                0.999993855823202,
                1.0129990976728036e-05,
                0.9999885212264031,
                2.7535700931292276e-05,
                3.1201922517673344e-05,
                8.939693105467234e-06,
                1.0129990979215566e-05,
                8.939698434153684e-06,
                0.9999977396762411
            ],
            [
                9.422445938642879e-07,
                8.315279285205827e-07,
                4.222833947282995e-06,
                1.0129992185760567e-05,
                1.3709572068079696e-06,
                4.785093353100252e-06,
                2.561281294644835e-06,
                1.067703251753986e-06,
                2.5612831265630198e-06,
                2.1444948406091176e-05
            ],
            [
                1.0129987352948008e-05,
                1.4738978455701077e-05,
                8.939700566435704e-06,
                6.605212886014267e-05,
                2.7535704224732304e-05,
                1.6701419848961534e-05,
                1.8925152748558416e-05,
                1.8925155000025902e-05,
                4.539785234013636e-05,
                2.7535704217219437e-05
            ],
            [
                0.9947798736051864,
                0.9998766054401562,
                0.999903897608289,
                0.9999989322966211,
                0.9999687980774836,
                0.9999832985701967,
                6.144175331590693e-06,
                0.9999832985801788,
                6.962256248314727e-06,
                0.9998911031301132
            ],
            [
                2.90231094702116e-06,
                2.753570421601738e-05,
                1.1478765386330758e-05,
                3.7266388394569345e-06,
                2.4300246523066122e-05,
                1.1478768124553928e-05,
                7.889263525405172e-06,
                3.288750241042834e-06,
                3.1201926224857616e-05,
                2.5612812946681295e-06
            ],
            [
                1.3007130009739366e-05,
                1.473898196677375e-05,
                4.006368259662828e-05,
                NaN,
                4.006371124165013e-05,
                NaN,
                1.6701415865641523e-05,
                1.0677033791107183e-06,
                NaN,
                3.2887494572095624e-06
            ],
            [
                4.222833947359807e-06,
                9.422448185264317e-07,
                1.2098655392464547e-06,
                7.33821330394297e-07,
                4.222832436955956e-06,
                1.7603436329394601e-06,
                8.315278293604072e-07,
                3.2887506329595395e-06,
                8.315278293838516e-07,
                2.2603234894560207e-06
            ],
            [
                7.338210679816025e-07,
                3.2887490653408545e-06,
                7.338207180534397e-07,
                3.288749849368453e-06,
                2.902312677007974e-06,
                3.2887494572514376e-06,
                8.939696299530582e-06,
                7.889260704050487e-06,
                6.144177529531776e-06,
                5.422220262195015e-06
            ],
            [
                3.2887490653408545e-06,
                4.785095065093186e-06,
                1.3007126911335805e-05,
                1.3007130012673148e-05,
                1.0129995805359584e-05,
                8.315281267581578e-07,
                1.3709578605243332e-06,
                1.7603430032918752e-06,
                1.9947292456281383e-06,
                4.7850950649408664e-06
            ],
            [
                9.422448184801556e-07,
                2.430024941459533e-05,
                1.1478769489343698e-05,
                1.0129990978441666e-05,
                1.0677029972833341e-06,
                5.422219616140078e-06,
                3.288749456838667e-06,
                4.785096205717126e-06,
                7.88926164421493e-06,
                1.3007134665130082e-05
            ],
            [
                1.0129995807939249e-05,
                1.7603438427467903e-06,
                1.3709567163715878e-06,
                4.785096205434246e-06,
                3.2887498493325602e-06,
                5.422218969532895e-06,
                3.726638395215427e-06,
                1.012999460108057e-05,
                6.144172403715875e-06,
                4.222834451254188e-06
            ],
            [
                1.0677033790145821e-06,
                1.9947304346245714e-06,
                1.5534981248528732e-06,
                3.726639283901856e-06,
                3.7266379496385705e-06,
                1.2098659718539182e-06,
                1.7603440525925705e-06,
                2.902311984683171e-06,
                3.288749065077638e-06,
                1.1478769492893215e-05
            ],
            [
                2.902311638759718e-06,
                3.535625062547117e-05,
                1.30071253611406e-05,
                4.006368730943852e-05,
                0.9999785550464909,
                8.939699499823059e-06,
                6.962257909323729e-06,
                1.1478766756653273e-05,
                8.939695236983711e-06,
                1.670141983978702e-05
            ],
            [
                8.93970056399654e-06,
                3.288750241410738e-06,
                5.422218322851817e-06,
                1.2098658277264215e-06,
                2.9023109471188266e-06,
                3.28874945711983e-06,
                0.9990889489252323,
                1.5534979397394734e-06,
                5.422217676866151e-06,
                9.422449308566668e-07
            ],
            [
                0.9999952149066468,
                0.9999967112505428,
                0.9999952149055057,
                0.9999724642990885,
                0.9999987901340281,
                0.9999982396572066,
                0.9999974387168733,
                0.9999546021421996,
                0.9999599363078259,
                0.9999994956525917
            ],
            [
                2.9023109467070445e-06,
                3.2887498494282754e-06,
                4.222833947897496e-06,
                3.7266388396128453e-06,
                4.222833947820683e-06,
                1.994729959224386e-06,
                6.1441724044534996e-06,
                1.5534973841705173e-06,
                7.338210679695891e-07,
                4.785096205830278e-06
            ],
            [
                4.7850939091461386e-06,
                6.475949525781504e-07,
                2.5612831266608576e-06,
                3.2887486732000038e-06,
                6.962254589104433e-06,
                1.553498495281783e-06,
                3.288749065125496e-06,
                5.422219615829396e-06,
                0.999796573085962,
                1.4738981961519057e-05
            ],
            [
                0.9999982396574163,
                0.9999898700102287,
                0.9999910603037108,
                0.9999910602994342,
                0.9999898700102309,
                0.9999962733620488,
                0.999994577780384,
                0.9999885212291455,
                0.9999910603015658,
                0.9999898700053984
            ],
            [
                8.315282258900085e-07,
                1.5534983100016177e-06,
                2.7535684525803696e-05,
                3.288750633545794e-06,
                2.5612815999423112e-06,
                2.4300240732671408e-05,
                1.3007131564643372e-05,
                1.3709572068179446e-06,
                9.422443692446175e-07,
                9.422447062150634e-07
            ],
            [
                7.889260704050487e-06,
                1.1478764018827141e-05,
                5.7150044702099e-07,
                3.288749849368453e-06,
                1.3007123808153756e-05,
                4.785093923516432e-06,
                1.7603432132624344e-06,
                5.422220908481809e-06,
                3.726639283440905e-06,
                4.222833947674739e-06
            ],
            [
                5.422217030362759e-06,
                8.93969630362837e-06,
                4.785095635296322e-06,
                1.892515500388139e-05,
                2.9023119850527192e-06,
                0.9997965729596087,
                3.2887482811579057e-06,
                0.9999984465016907,
                NaN,
                0.9999485577619847
            ],
            [
                0.9324533149608595,
                2.7535681210027785e-05,
                2.1444953522913026e-05,
                1.6701419848475466e-05,
                1.6701425823457267e-05,
                5.144221974590828e-05,
                3.288749456838667e-06,
                3.5356267539488744e-05,
                4.222834450743383e-06,
                8.93970056565517e-06
            ],
            [
                1.1478765387416494e-05,
                7.889261643727018e-06,
                2.7535694276396952e-05,
                0.015906393023865786,
                6.962253753369973e-06,
                1.3709567164663505e-06,
                1.7603430030741363e-06,
                5.422220262333096e-06,
                2.5612828212909852e-06,
                1.8925152746768368e-05
            ],
            [
                5.1442213526628236e-05,
                1.1478765385432939e-05,
                6.144174601208867e-06,
                1.1478764019077695e-05,
                4.222834953197588e-06,
                3.535626333809042e-05,
                6.962257909323729e-06,
                7.88926446430712e-06,
                1.6701425820540864e-05,
                6.144176797864436e-06
            ],
            [
                2.144495862967221e-05,
                1.300712380997554e-05,
                4.785095632885315e-06,
                1.0677029972833341e-06,
                1.3007134665413997e-05,
                5.422218969463855e-06,
                4.450849988590209e-07,
                1.0129995809247506e-05,
                3.726637950851956e-06,
                2.561282820785491e-06
            ],
            [
                6.144173869072478e-06,
                3.28875024125221e-06,
                1.1478772230198667e-05,
                6.144174601309452e-06,
                4.785093353187292e-06,
                0.9999984465028016,
                0.00023050678455010365,
                7.889264466230069e-06,
                1.1478773597640625e-05,
                2.4300240719941574e-05
            ],
            [
                0.9999987901338839,
                0.9999921107392954,
                0.9999810748562726,
                0.9999646437535196,
                0.9999996533674202,
                0.9999996533674615,
                0.9999984465015047,
                0.9999980052707541,
                0.9999989322973846,
                0.9999992661791944
            ],
            [
                1.89251482372248e-05,
                0.9999832985722211,
                5.8291286270284484e-05,
                0.9999952149072205,
                0.0002034268959900494,
                1.0129989763162812e-05,
                3.535625906479359e-05,
                8.48110714063931e-05,
                0.9999756997565273,
                2.144494072680393e-05
            ],
            [
                8.939697368842181e-06,
                8.93969736942758e-06,
                4.222834451169694e-06,
                1.4738987242432592e-05,
                1.1478770859917257e-05,
                3.535626330593522e-05,
                5.8291279365509446e-05,
                3.1201907650801864e-05,
                7.889262584809997e-06,
                9.610238053958679e-05
            ],
            [
                1.0129989771473008e-05,
                5.42221961567159e-06,
                1.6701429804288556e-05,
                1.8925145983348442e-05,
                6.1441775312976045e-06,
                1.0129993393945642e-05,
                7.889260704531226e-06,
                2.9023116390421582e-06,
                1.3007130014873483e-05,
                2.430024362791279e-05
            ],
            [
                5.422220908762902e-06,
                1.1478772228528306e-05,
                1.7603432132079998e-06,
                3.726640616748873e-06,
                2.753569109254574e-05,
                6.962253759670401e-06,
                6.9622579092224155e-06,
                3.28875024125221e-06,
                4.785094494576774e-06,
                4.222831934202483e-06
            ],
            [
                4.5397852346412016e-05,
                3.5356250689524286e-05,
                1.4738978455701077e-05,
                1.3007133113017532e-05,
                2.2603242977308917e-06,
                1.0129988564099116e-05,
                1.6701421834059987e-05,
                1.012998977108606e-05,
                2.1444940733201126e-05,
                1.8925143724239906e-05
            ],
            [
                1.3709568799368123e-06,
                1.7603434231385591e-06,
                1.0677033791107183e-06,
                2.561282515988704e-06,
                2.9023119850527192e-06,
                1.7603430034439723e-06,
                7.338210679816025e-07,
                1.2098659719601033e-06,
                1.7603434231505666e-06,
                9.422442568951678e-07
            ],
            [
                2.260324026380352e-06,
                6.962258737650141e-06,
                7.338208930078229e-07,
                0.003172682656187599,
                9.422444812264423e-07,
                3.2887478885505384e-06,
                6.144177530671741e-06,
                1.1478765384054893e-05,
                8.481108026940423e-05,
                1.9947294835866542e-06
            ],
            [
                4.785096776251149e-06,
                1.5534977545243671e-06,
                6.962254589332388e-06,
                1.4738983699428355e-05,
                6.96225956921868e-06,
                8.93970056565517e-06,
                1.0677033791291683e-06,
                1.1478770860982112e-05,
                8.93970056565517e-06,
                2.2603240281606297e-06
            ],
            [
                4.539789016057757e-05,
                5.1442232038504445e-05,
                2.430024361951464e-05,
                4.539785237052376e-05,
                0.9986749772920972,
                2.7535687798506256e-05,
                2.4300240716759115e-05,
                0.999820472012923,
                1.4738987241494252e-05,
                2.753568781022632e-05
            ],
            [
                1.6701419841852803e-05,
                1.012998977198894e-05,
                6.144173868670137e-06,
                4.785096205930373e-06,
                8.939695238211425e-06,
                3.7266383955611403e-06,
                2.1444943298944354e-05,
                7.889266347248781e-06,
                5.422220262333096e-06,
                4.22283545795623e-06
            ],
            [
                8.939698432202356e-06,
                3.2887478888496478e-06,
                2.5612834314274337e-06,
                1.3007123808532309e-05,
                1.1478765387667046e-05,
                1.2098658276598493e-06,
                3.726639727750306e-06,
                4.7850967744320136e-06,
                6.144173136455602e-06,
                3.288747889038086e-06
            ],
            [
                1.0677031245050577e-06,
                5.043475885576967e-07,
                2.9023109469842055e-06,
                5.715003107619008e-07,
                4.450849988440432e-07,
                2.260324028306588e-06,
                8.3152773023541e-07,
                9.422447061876404e-07,
                2.260323758923431e-06,
                3.2887506332945414e-06
            ],
            [
                5.1442231983486416e-05,
                4.7850962047640385e-06,
                2.7535700941409604e-05,
                8.93969523573161e-06,
                3.726637951079042e-06,
                1.147877222879974e-05,
                1.1478770861441461e-05,
                8.939698435096828e-06,
                1.4738985483879434e-05,
                1.0129993389984017e-05
            ],
            [
                3.535626754334737e-05,
                1.3007134662054344e-05,
                1.4738987239295859e-05,
                8.939694171331106e-06,
                2.4300246512104316e-05,
                1.6701421840318107e-05,
                4.222835457526079e-06,
                2.7535691076718644e-05,
                1.892514597563747e-05,
                1.4738978454950406e-05
            ],
            [
                2.260324836624822e-06,
                1.3709567164962755e-06,
                2.9023123310580418e-06,
                4.222834954561012e-06,
                2.9023123291759862e-06,
                NaN,
                8.93969416601374e-06,
                2.561282210590951e-06,
                1.3709572068079696e-06,
                1.994729008056074e-06
            ],
            [
                1.9947301970451086e-06,
                3.4663270375278157e-07,
                1.3007134666431358e-05,
                4.222835458002318e-06,
                6.962258738131379e-06,
                4.4508489275145346e-07,
                4.7850950646797465e-06,
                3.288749065209246e-06,
                4.450852641656969e-07,
                4.222833444229772e-06
            ],
            [
                3.7266410608245674e-06,
                2.9023116388547446e-06,
                2.1444956065331412e-05,
                1.7603434231385591e-06,
                2.5612819052654485e-06,
                8.315282258680767e-07,
                2.430024940080467e-05,
                1.994730434735237e-06,
                1.2098658276444443e-06,
                4.4508505192495825e-07
            ],
            [
                3.7266379513162962e-06,
                4.7850944943330625e-06,
                7.889262585211807e-06,
                3.72664061328496e-06,
                8.93969949923766e-06,
                5.4222202621161125e-06,
                4.222834954607099e-06,
                1.0129994600398803e-05,
                2.260324028404236e-06,
                6.96225375833433e-06
            ],
            [
                7.889259762666377e-06,
                1.3709578604108674e-06,
                4.222833945262824e-06,
                3.288749849000549e-06,
                6.144172402106516e-06,
                4.222831934052698e-06,
                1.3709575334373105e-06,
                3.2887494541825796e-06,
                1.209865539060493e-06,
                1.9947304344431518e-06
            ],
            [
                2.260323758882316e-06,
                8.315279285149107e-07,
                3.7266392807565434e-06,
                1.3007133112307748e-05,
                8.315280276096808e-07,
                1.5534983101061718e-06,
                2.56128159999123e-06,
                2.9023123309287002e-06,
                4.785096205778054e-06,
                8.315278287531228e-07
            ],
            [
                4.222835457526079e-06,
                2.9023130221686978e-06,
                3.288750631978462e-06,
                4.785096204415878e-06,
                2.902312330891746e-06,
                7.889262578983744e-06,
                4.7850927830148924e-06,
                8.93969842709638e-06,
                1.1478773591084453e-05,
                5.422217675756574e-06
            ],
            [
                0.9999038975509599,
                0.9998766053965028,
                1.3007130007988564e-05,
                2.144495351862222e-05,
                2.753568452349975e-05,
                2.7535694345515298e-05,
                0.99994855778111,
                3.7266388395111645e-06,
                0.9999485577925354,
                1.147877086020957e-05
            ],
            [
                5.422221554581283e-06,
                1.3007128460419196e-05,
                1.0129988563730593e-05,
                1.670142382286494e-05,
                1.6701419849933667e-05,
                1.3007133112662637e-05,
                1.670142184171555e-05,
                1.0677031245050577e-06,
                8.93969417199781e-06,
                7.889259763728304e-06
            ],
            [
                6.144172404302622e-06,
                1.3007128462477575e-05,
                2.2603242977802297e-06,
                1.3007130013288297e-05,
                6.60521524619268e-05,
                1.370957533554517e-06,
                7.338209805040511e-07,
                1.4738988997044936e-05,
                1.5534975692683091e-06,
                4.006371127619171e-05
            ],
            [
                1.892514145328979e-05,
                3.2887494572095624e-06,
                8.939698434495167e-06,
                6.1441767989541075e-06,
                8.939697368663308e-06,
                4.2228349547223175e-06,
                5.422217676925328e-06,
                4.539788482626311e-05,
                7.889261644875049e-06,
                6.144175333926503e-06
            ],
            [
                2.561281599734989e-06,
                4.222835457852533e-06,
                0.9999785550516728,
                1.4738978455325741e-05,
                2.7535691088138193e-05,
                1.3007134662054344e-05,
                0.999891103106506,
                4.539787937568435e-05,
                0.9995694429297479,
                4.006367778354606e-05
            ],
            [
                2.561281599776919e-06,
                2.5612822106421996e-06,
                6.475946437928669e-07,
                1.9947290080905435e-06,
                NaN,
                1.1478773598099973e-05,
                3.9278638753849313e-07,
                4.222832437109582e-06,
                2.5612815999423112e-06,
                3.0590219044561827e-07
            ],
            [
                6.605215248979934e-05,
                6.144175326159099e-06,
                2.753568778728705e-05,
                3.535625490018181e-05,
                2.1444958636771547e-05,
                1.1478773591961393e-05,
                4.539787403443489e-05,
                1.0129989771657269e-05,
                8.9396973679153e-06,
                6.1441746017453204e-06
            ],
            [
                3.288748281220719e-06,
                1.9947297213492663e-06,
                2.9023130228444433e-06,
                9.422442568428928e-07,
                8.939699500164542e-06,
                7.338212429367364e-07,
                1.0129992178648069e-05,
                4.4508505192819656e-07,
                4.785095635413826e-06,
                5.422218323093458e-06
            ],
            [
                4.450851049959619e-07,
                9.422448185101494e-07,
                5.715004470077356e-07,
                1.6373764720380343e-07,
                8.315284240508931e-07,
                5.04347227811786e-07,
                4.4508515805199415e-07,
                3.927861066113479e-07,
                1.3709567165386693e-06,
                2.6995774527184606e-07
            ],
            [
                8.315283249742262e-07,
                9.422445938557184e-07,
                3.2887478886821466e-06,
                1.4738981968864903e-05,
                6.962258738574625e-06,
                7.338213304016384e-07,
                3.288750241374845e-06,
                1.5534981248330927e-06,
                5.422221554758815e-06,
                2.2603242978007868e-06
            ],
            [
                4.785096205434246e-06,
                4.2228329408924035e-06,
                1.1478765387416494e-05,
                1.760343842833246e-06,
                3.2887506332466845e-06,
                2.2603234893861252e-06,
                6.144176065828368e-06,
                0.9998766054401562,
                6.144173136645595e-06,
                4.222832941034507e-06
            ],
            [
                8.315278293899016e-07,
                1.3709568799106278e-06,
                4.222832940942332e-06,
                1.444979692780803e-07,
                1.3709570433387154e-06,
                NaN,
                9.422442567529115e-07,
                4.78509563535725e-06,
                2.9023109467070445e-06,
                2.2603248367173307e-06
            ],
            [
                3.72664017246987e-06,
                1.4738983726908257e-05,
                2.902312330759764e-06,
                1.6701417852987564e-05,
                3.288748280891699e-06,
                1.147876809200276e-05,
                1.9947297214544894e-06,
                1.0129987356375273e-05,
                1.012999218369684e-05,
                4.006370646383477e-05
            ],
            [
                8.315277302588544e-07,
                4.4508515805199415e-07,
                3.288748281220719e-06,
                5.71500242637956e-07,
                1.5534975693707442e-06,
                5.715004470077356e-07,
                1.9947292458603553e-06,
                2.2603253755949437e-06,
                4.7850939242083995e-06,
                2.90231094702116e-06
            ],
            [
                6.144174601499446e-06,
                1.5534975693205863e-06,
                2.9023116390421582e-06,
                3.059021904571643e-07,
                2.3823699518905442e-07,
                7.338209805040511e-07,
                2.5612831266608576e-06,
                1.994729008074216e-06,
                1.5534975693488444e-06,
                4.222833444383398e-06
            ],
            [
                5.715005151485975e-07,
                1.7603436329554703e-06,
                2.902311639073834e-06,
                2.699577452746696e-07,
                1.994729721469003e-06,
                2.6995780963428734e-07,
                6.475947981904966e-07,
                1.994730196992497e-06,
                6.144173135896795e-06,
                1.553498495308628e-06
            ],
            [
                3.059023363221292e-07,
                1.553497754476329e-06,
                9.422448183961728e-07,
                5.715005151574337e-07,
                4.22283545808297e-06,
                1.5534983100765009e-06,
                6.144172404028807e-06,
                1.9947301970106386e-06,
                2.561283432005142e-06,
                3.7266397280485686e-06
            ],
            [
                4.2228319339950885e-06,
                1.300713466619476e-05,
                1.670141785596473e-05,
                4.539787943778038e-05,
                1.6701419849447602e-05,
                1.1478765386038447e-05,
                8.93969310647542e-06,
                7.88925976316864e-06,
                6.9622562484666964e-06,
                1.1478769490700865e-05
            ],
            [
                6.9622579086271995e-06,
                9.422448185187191e-07,
                4.222834451254188e-06,
                2.2603240281236263e-06,
                2.2603248365960415e-06,
                2.5612819053399912e-06,
                5.715002426439334e-07,
                6.962253759486771e-06,
                1.553498310118888e-06,
                3.7266397281434697e-06
            ],
            [
                8.315281267339571e-07,
                4.785096776194573e-06,
                9.422445938797133e-07,
                4.785095634756674e-06,
                8.93969416601374e-06,
                1.670142183983204e-05,
                1.6701427811412077e-05,
                2.9023133687311063e-06,
                1.3007125361755747e-05,
                1.1478770859624945e-05
            ],
            [
                4.785093353787868e-06,
                1.2098656834834034e-06,
                3.726638395493353e-06,
                1.994729008074216e-06,
                2.56128282131428e-06,
                3.9278605978547293e-07,
                7.338213304243302e-07,
                5.043475284127952e-07,
                1.209865395009523e-06,
                5.715003107655392e-07
            ],
            [
                8.939698434332555e-06,
                8.315284241174449e-07,
                6.144176798691468e-06,
                7.88925976397226e-06,
                2.4300252288444548e-05,
                1.1478765387416494e-05,
                3.7266410609160796e-06,
                3.2887486731252264e-06,
                1.0129988563914856e-05,
                7.889266346603015e-06
            ],
            [
                1.2098655392662613e-06,
                9.422448185015797e-07,
                2.9023116389761676e-06,
                4.450851049645897e-07,
                1.3709575336530204e-06,
                1.6373766672739202e-07,
                1.3709578604831862e-06,
                2.102434162220159e-07,
                2.902311984318902e-06,
                3.9278615342936924e-07
            ],
            [
                7.889263525534328e-06,
                7.484624503872184e-05,
                5.42222155426567e-06,
                6.962257909007124e-06,
                3.7266379509129646e-06,
                8.93969630348202e-06,
                1.8925155000714377e-05,
                5.1442238103586536e-05,
                3.2887482812745586e-06,
                8.93969736942758e-06
            ],
            [
                2.1444956078515887e-05,
                6.144172404380855e-06,
                7.338211554591642e-07,
                1.0129987350147233e-05,
                6.144174601588856e-06,
                1.5534971989696065e-06,
                2.1444943291142893e-05,
                7.88926352599354e-06,
                2.5612825156159896e-06,
                7.338212429464139e-07
            ],
            [
                1.7603432132912532e-06,
                4.222834450820197e-06,
                5.422219616085833e-06,
                1.760343422928825e-06,
                4.785096205717126e-06,
                1.5534977545243671e-06,
                3.726641060956752e-06,
                1.5534981248712412e-06,
                1.2098655391617266e-06,
                4.785093924047376e-06
            ],
            [
                2.7535691098355687e-05,
                1.8925145982350146e-05,
                7.889265406438011e-06,
                0.9999930377412662,
                3.7266392836984955e-06,
                2.430023493485234e-05,
                7.88925976359915e-06,
                2.9023126768680736e-06,
                2.4300232038197563e-05,
                1.6701421842566163e-05
            ],
            [
                0.9996646498951547,
                1.9947294833780224e-06,
                0.999769493286337,
                0.9999485577986598,
                0.9998911031172932,
                0.9999832985781597,
                0.9999038975855368,
                0.9999938558249021,
                0.9999251537997412,
                0.9999599363150382
            ],
            [
                1.6373774480404828e-07,
                6.962255419570695e-06,
                6.144176797864436e-06,
                4.785092783319532e-06,
                3.7266392835086923e-06,
                4.222832437443716e-06,
                NaN,
                1.209866116149238e-06,
                1.9947306725868575e-06,
                4.222831934052698e-06
            ],
            [
                1.3709573702647743e-06,
                2.5612819053399912e-06,
                1.7603432132624344e-06,
                1.2098656834834034e-06,
                2.5612831266165976e-06,
                8.315281267581578e-07,
                3.9278610660598936e-07,
                3.059023363221292e-07,
                2.260324028351814e-06,
                6.475948753965404e-07
            ],
            [
                8.315277302701984e-07,
                5.043473480643696e-07,
                5.04347227807199e-07,
                1.5534975693601474e-06,
                2.699576809107705e-07,
                1.5534973841705173e-06,
                3.466324971415162e-07,
                6.47594566560052e-07,
                7.338208930265102e-07,
                3.7266397281434697e-06
            ],
            [
                0.9999957771665555,
                0.9999952149060758,
                0.9999885212318756,
                0.9999977396765106,
                0.9999982396561572,
                0.9999957771680659,
                0.9999967112493667,
                0.9999910603058283,
                0.9999987901343165,
                0.9999756997534821
            ],
            [
                4.222831934052698e-06,
                2.9023133676594165e-06,
                1.3709570431554246e-06,
                9.422448184681581e-07,
                2.699577452503626e-07,
                1.2098656834922064e-06,
                3.059022269206168e-07,
                3.059023363066882e-07,
                4.222834440581078e-06,
                1.5534979397394734e-06
            ],
            [
                1.892514147046736e-05,
                4.222831933564939e-06,
                3.120191879561992e-05,
                3.535625066302841e-05,
                6.96225458885115e-06,
                6.605212884380361e-05,
                2.260324836624822e-06,
                1.0129989767032304e-05,
                1.0129990976156825e-05,
                2.5612831262578596e-06
            ],
            [
                1.7603425837606927e-06,
                3.726639728224814e-06,
                1.7603432131631714e-06,
                3.9278629390507954e-07,
                5.422217030209884e-06,
                1.0677024880858507e-06,
                3.0590226338490835e-07,
                3.726639727940109e-06,
                1.2098656834481918e-06,
                2.902311985079115e-06
            ],
            [
                1.3709567164962755e-06,
                2.561283431627768e-06,
                7.88925976283858e-06,
                4.222832939978334e-06,
                2.5612815998141903e-06,
                1.7603427932989266e-06,
                6.144172402765906e-06,
                7.88926164421493e-06,
                4.539785768204387e-05,
                1.6701419849933667e-05
            ],
            [
                8.481106130809013e-05,
                6.144176797439742e-06,
                6.144176066264237e-06,
                1.473898196763166e-05,
                1.4738978456049602e-05,
                5.422217030032353e-06,
                1.1478769492392108e-05,
                3.288750633139005e-06,
                1.670142581883963e-05,
                7.88926164421493e-06
            ],
            [
                6.962258736497698e-06,
                6.144176065940129e-06,
                2.9023119850210436e-06,
                1.4738988998117324e-05,
                4.22283344433731e-06,
                6.144173868312501e-06,
                1.3007123805078022e-05,
                2.260324566939374e-06,
                1.0677032516627054e-06,
                1.6701427813872793e-05
            ]
        ]
    },
    {
        "q_id": "10404_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999999006881377,
                0.9999998555019274,
                0.9999997897567341,
                0.9999996533674202,
                0.9999996940976272,
                0.9999997300422225,
                0.9999998144608983,
                0.999999554914895,
                0.9999997897567341,
                0.999999694097846
            ],
            [
                0.9999990577551815,
                0.9999995549151072,
                0.9999996533675028,
                0.9999994284992805,
                0.9999994284994167,
                0.9999998362622552,
                0.9999996072139402,
                0.9999998555020307,
                0.9999995549147358,
                0.9999994956524715
            ],
            [
                0.999999730042126,
                0.9999996072137061,
                0.9999995549147358,
                0.9999997897565838,
                0.9999997897565587,
                0.9999998724810026,
                0.9999994284994849,
                0.9999998362622943,
                0.9999996533674615,
                0.9999998362622943
            ],
            [
                0.9999995549151072,
                0.9999995549150011,
                0.999999789756684,
                0.9999997617629764,
                0.9999990577556307,
                0.999999057755069,
                0.9999996533673788,
                0.9999994956525918,
                0.9999994956524114,
                0.9999987901337396
            ],
            [
                0.9999994284994167,
                0.9999998724809267,
                0.9999996533672962,
                0.9999996072136125,
                0.9999997897567091,
                0.9999994956527121,
                0.9999997300422225,
                0.9999996533672962,
                0.9999997897566589,
                0.9999995549149481
            ],
            [
                0.9999998874648514,
                0.9999995549151073,
                0.999999057755743,
                0.999999855502048,
                0.9999996533674615,
                0.9999996533674202,
                0.999999814460876,
                0.9999997300421903,
                0.9999994284997573,
                0.9999996533672962
            ],
            [
                0.999999266179107,
                0.9999945777823229,
                0.9999990577556308,
                0.9999989322966208,
                0.9999980052702785,
                0.9999986290432834,
                0.9999977396748938,
                0.9999977396765105,
                0.9999986290426297,
                0.9999997617630333
            ],
            [
                0.9999995549147889,
                0.9999994956525918,
                0.9999993524050473,
                0.9999996940977002,
                0.9999994284995529,
                0.9999997300421903,
                0.9999996940977731,
                0.9999996533673375,
                0.999999814460854,
                0.999999554914895
            ],
            [
                0.9999996940977002,
                0.9999997617629764,
                0.9999996533673375,
                0.9999997617630333,
                0.999999694097846,
                0.9999990577552937,
                0.999999814460876,
                0.9999996072137998,
                0.9999987901344607,
                0.9999997617630333
            ],
            [
                0.9999993524053562,
                0.9999994284996893,
                0.9999989322968753,
                0.9999995549150011,
                0.999999352405279,
                0.9999990577555185,
                0.9999980052705163,
                0.9999996940976636,
                0.9999998362623137,
                0.9999994956523514
            ],
            [
                0.999999730042319,
                0.9999997897567341,
                0.9999996940977366,
                0.9999994956527121,
                0.9999990577554061,
                0.9999994284992805,
                0.9999997897565838,
                0.9999997300421903,
                0.9999994956527721,
                0.9999996533672549
            ],
            [
                6.475949526020042e-07,
                2.3823690999290963e-07,
                1.067702870039777e-06,
                1.2751901248454963e-07,
                2.3823690999290963e-07,
                1.4449805540763184e-07,
                2.3823693839290317e-07,
                1.8553919030826963e-07,
                2.382368531929327e-07,
                3.466325797888292e-07
            ],
            [
                0.9999646437535114,
                0.999988521233244,
                0.9998766053956697,
                0.9999852610127585,
                0.999968798081189,
                0.9998204720982624,
                0.9999869928746369,
                0.9999151889889798,
                0.9999599363078162,
                0.9999852610110056
            ],
            [
                0.9999992661788445,
                0.9999996940976272,
                0.999999495652652,
                0.9999996072136125,
                0.9999997617629764,
                0.9999996533674202,
                0.9999998362622747,
                0.9999996940978095,
                0.9999996072136592,
                0.9999996533674615
            ],
            [
                0.9999251537638204,
                0.9997040429002644,
                0.9999251537905948,
                0.9999646437535039,
                0.999933947878961,
                0.9998204719696734,
                0.9999485577924795,
                0.999290329533656,
                0.9999151889384297,
                0.9997965729782722
            ],
            [
                0.9999994956523514,
                0.9999993524054335,
                0.9999989322975118,
                0.9999997617631752,
                0.9999996533672549,
                0.9999991684716749,
                0.9999995549151072,
                0.9999994284996891,
                0.9999987901344607,
                0.9999996533672135
            ],
            [
                0.9999997300422225,
                0.999999266178757,
                0.999999814460854,
                0.9999998362623137,
                0.9999992661791944,
                0.9999997300422225,
                0.9999997300420937,
                0.9999996940976272,
                0.9999995549151072,
                0.9999995549148419
            ],
            [
                0.9999996072136125,
                0.9999996940977731,
                0.9999994956524115,
                0.9999998362623528,
                0.9999996072136592,
                0.9999994956525918,
                0.9999989322970027,
                0.9999992661789321,
                0.9999994956525918,
                0.9999996533674614
            ],
            [
                0.999447221320499,
                0.998830489727737,
                0.9998911030907222,
                0.9993736659744397,
                0.9999151889384075,
                0.9993736658969432,
                0.9990889487591873,
                0.9991959142387624,
                0.9982992778897885,
                0.9999485577802131
            ],
            [
                0.9999997617629764,
                0.9999998144609203,
                0.9999996940976636,
                0.9999994956527121,
                0.9999997300422225,
                0.9999996072136592,
                0.9999996940977366,
                0.9999998555019446,
                0.9999997617631469,
                0.99999976176309
            ],
            [
                0.9999996940977731,
                0.9999997897566089,
                0.9999995549149481,
                0.9999997617631468,
                0.9999996533672136,
                0.9999992661789321,
                0.9999982396572064,
                0.999999789756684,
                0.999999730042319,
                0.9999994956526519
            ],
            [
                0.9999997897565838,
                0.9999997897565587,
                0.9999991684719723,
                0.9999996940977731,
                0.9999997300422546,
                0.9999997300421581,
                0.9999994956525918,
                0.99999976176309,
                0.9999996940978095,
                0.999999352404893
            ],
            [
                0.9999998144608983,
                0.9999992661791944,
                0.9999998362623137,
                0.9999997897566338,
                0.9999996940978825,
                0.999999730042319,
                0.9999996940977731,
                0.999999814460876,
                0.999999730042319,
                0.9999996533674615
            ],
            [
                0.9999998874648379,
                0.9999998144608981,
                0.9999998362622357,
                0.9999998555020135,
                0.9999998555019274,
                0.9999995549147889,
                0.9999991684720715,
                0.9999998144608098,
                0.9999998362622552,
                0.9999996533673788
            ],
            [
                0.9999991684718732,
                0.9999980052695652,
                0.9999967112497584,
                0.9999991684716749,
                0.9999991684720715,
                0.9999977396754327,
                0.9999974387180947,
                0.9999986290423029,
                0.9999977396757022,
                0.9999980052693274
            ],
            [
                0.9999993524048929,
                0.9999997300420939,
                0.9999995549149481,
                0.9999994956524114,
                0.9999996533672549,
                0.9999996940977002,
                0.9999994956525918,
                0.9999994284996211,
                0.9999996533674615,
                0.9999996533672135
            ],
            [
                0.9999997300422546,
                0.9999997300422546,
                0.999999694097846,
                0.999999730042126,
                0.9999996533673788,
                0.9999998362623723,
                0.9999998362623722,
                0.9999994956527121,
                0.9999994956525318,
                0.9999993524054334
            ],
            [
                0.9999992661790195,
                0.9999986290426298,
                0.9999952149032235,
                0.9999970976869769,
                0.999999266179107,
                0.9999898700102277,
                0.9999990577550691,
                0.9999994956524114,
                0.9999977396751633,
                0.9999994956527121
            ],
            [
                0.9999962733598274,
                0.9999970976869769,
                0.9999810748517594,
                0.9999980052702785,
                0.9999921107355335,
                0.9999910603068933,
                0.9999930377412605,
                0.9999938558253981,
                0.9999962733593831,
                0.9999962733616043
            ],
            [
                0.9999996940977731,
                0.9999994956525318,
                0.9999987901338838,
                0.9999993524054334,
                0.9999993524049702,
                0.9999996940976272,
                0.9999986290429566,
                0.9999997617631752,
                0.9999996072136125,
                0.9999996072138934
            ],
            [
                0.9999998724810027,
                0.9999998874648379,
                0.9999995549147889,
                0.9999999006880668,
                0.9999998724809571,
                0.9999996533674201,
                0.9999997897565587,
                0.9999998144609644,
                0.999999855501979,
                0.9999998724810026
            ],
            [
                0.9999994284995529,
                0.9999952149066462,
                0.9999989322975118,
                0.9999991684721706,
                0.9999994956524115,
                0.9999982396574162,
                0.9999992661787571,
                0.9999986290426298,
                0.9999994284994167,
                0.9999957771680656
            ],
            [
                0.9999991684716749,
                0.9999785550464753,
                0.9999952149049349,
                0.9999898700114356,
                0.9999898700126428,
                0.9999832985701931,
                0.9999974387177893,
                0.9999921107383551,
                0.9999910603026305,
                0.9999938558275955
            ],
            [
                0.9999986290432834,
                0.9999995549148419,
                0.9999989322967481,
                0.9999996940977366,
                0.9999987901338838,
                0.9999996940976636,
                0.9999991684718732,
                0.9999992661791944,
                0.9999991684719723,
                0.9999982396574163
            ],
            [
                0.9999994284992805,
                0.9999996533673375,
                0.9999989322967481,
                0.999999428499553,
                0.9999991684716749,
                0.999999352405279,
                0.9999996072137529,
                0.9999992661787571,
                0.9999992661792819,
                0.9999989322966208
            ],
            [
                0.9999997897565838,
                0.9999997897565838,
                0.9999996072137998,
                0.9999989322975118,
                0.9999996072137061,
                0.9999994956524114,
                0.9999994956525317,
                0.999999057755743,
                0.9999992661790196,
                0.9999996940976271
            ],
            [
                0.9999998362622552,
                0.9999990577556307,
                0.9999995549150011,
                0.9999993524050473,
                0.9999997617630049,
                0.9999989322967481,
                0.9999997617631184,
                0.9999996533674614,
                0.9999998144609423,
                0.999999266179107
            ],
            [
                0.9999994284992805,
                0.99999976176309,
                0.9999996072137998,
                0.9999997897566589,
                0.999999814460854,
                0.9999994956524114,
                0.9999998362623137,
                0.9999994284994849,
                0.9999995549149481,
                0.9999996940978825
            ],
            [
                0.9999996533672549,
                0.9999993524052018,
                0.9999997897567341,
                0.9999997897566089,
                0.9999997897567091,
                0.9999997897566338,
                0.9999997897566338,
                0.9999997300422868,
                0.999999266178757,
                0.9999997617630048
            ],
            [
                0.9999997300422546,
                0.9999996072138934,
                0.9999996072136125,
                0.9999996940978825,
                0.9999996940976272,
                0.9999998724809419,
                0.9999998144609203,
                0.9999997617629764,
                0.9999997300422225,
                0.9999996533674615
            ],
            [
                0.9999995549149481,
                0.9999998144609645,
                0.9999998144608319,
                0.9999997300422546,
                0.9999996072136125,
                0.9999997300422546,
                0.9999997897567341,
                0.9999997617629764,
                0.9999997617629764,
                0.9999998362623528
            ],
            [
                0.999999789756684,
                0.999999789756684,
                0.9999996533674202,
                0.9999994956527722,
                0.999999887464811,
                0.9999994956524716,
                0.9999998362623138,
                0.9999999123575464,
                0.9999996940978461,
                0.9999994956524114
            ],
            [
                0.9999997617630617,
                0.9999998724809419,
                0.9999996940977731,
                0.9999997897567341,
                0.9999997897566589,
                0.9999998555019963,
                0.9999997617630617,
                0.9999998144609645,
                0.9999998555019619,
                0.9999998724809419
            ],
            [
                0.9999992661792819,
                0.9999996072139402,
                0.999999495652652,
                0.9999996533674615,
                0.9999997300422547,
                0.9999995549148419,
                0.99999976176309,
                0.9999993524054334,
                0.9999993524053562,
                0.9999993524052018
            ],
            [
                5.4222215552470286e-06,
                1.9947290081286418e-06,
                1.994729483705484e-06,
                3.2887498494282754e-06,
                4.222834451215781e-06,
                2.5612822107167428e-06,
                3.7266388397721442e-06,
                2.2603251062147097e-06,
                1.7603425837791042e-06,
                1.0677029973158649e-06
            ],
            [
                0.9999938558224686,
                0.9997965730512482,
                0.9998601778592866,
                0.9999785550490333,
                0.9999852610127573,
                0.9999724643187485,
                0.9998911030778315,
                0.9999339478474694,
                0.9999938558253981,
                0.999978555056703
            ],
            [
                0.9999952149066461,
                0.9999852610110004,
                0.9999974387180945,
                0.999997097686977,
                0.9999986290426297,
                0.9999980052698029,
                0.9999885212291376,
                0.9999967112513266,
                0.9999980052707541,
                0.9999989322971299
            ],
            [
                0.9999994284994167,
                0.9999982396567867,
                0.9999980052707541,
                0.9999967112509346,
                0.9999987901344607,
                0.9999989322975118,
                0.9999991684722697,
                0.9999987901337396,
                0.9999977396765105,
                0.9999994284992805
            ],
            [
                0.9999997300420937,
                0.9999997897566338,
                0.9999996533674201,
                0.9999993524050474,
                0.9999997617631753,
                0.9999996533674615,
                0.9999996940976272,
                0.9999996940978825,
                0.9999997897567341,
                0.9999994956526519
            ],
            [
                0.9999996940976272,
                0.9999994956527722,
                0.9999998724809267,
                0.9999997617629764,
                0.9999997897565587,
                0.9999996940976272,
                0.9999997617631753,
                0.9999994284993486,
                0.999999694097846,
                0.9999997617630333
            ],
            [
                0.9999885212291382,
                0.9999869928730863,
                0.9999852610145148,
                0.9999869928653335,
                0.9999921107402359,
                0.9999546021205351,
                0.9997965729296244,
                0.9999957771655487,
                0.9999485577618238,
                0.9999724643089016
            ],
            [
                0.9999991684716749,
                0.9999997897567341,
                0.9999996533675028,
                0.999999554914895,
                0.9999992661788445,
                0.9999990577551814,
                0.9999995549151073,
                0.9999993524052018,
                0.9999993524052018,
                0.9999986290424663
            ],
            [
                0.999999730042126,
                0.9999996533672136,
                0.9999998362622357,
                0.9999996072136592,
                0.9999993524054334,
                0.9999996533674615,
                0.9999992661789321,
                0.9999995549150011,
                0.9999997617629764,
                0.9999996533672135
            ],
            [
                3.4663266243308805e-07,
                1.6373766672973748e-07,
                3.4663253846718004e-07,
                8.764242227418718e-08,
                6.475947982022763e-07,
                1.553497754583709e-06,
                1.6373764721039308e-07,
                5.715005151606823e-07,
                2.10243290909724e-07,
                5.715005832872586e-07
            ],
            [
                0.9999989322973846,
                0.9999987901343165,
                0.9999990577549569,
                0.9999990577554061,
                0.9999993524048929,
                0.999999057755743,
                0.9999994284994167,
                0.9999992661787571,
                0.9999980052707541,
                0.9999993524050473
            ],
            [
                0.9999998144608097,
                0.999999814460854,
                0.9999996940976272,
                0.9999994956525318,
                0.9999997897565838,
                0.9999998724809723,
                0.9999996940978095,
                0.999999855502048,
                0.9999992661792819,
                0.9999998144608981
            ],
            [
                0.9999992661790195,
                0.9999977396759716,
                0.9999987901337396,
                0.9999992661787571,
                0.999999352404893,
                0.99999862904312,
                0.9999974387184,
                0.9999993524049702,
                0.9999990577554061,
                0.9999974387177893
            ],
            [
                0.9999998144609424,
                0.9999998362623723,
                0.9999989322967481,
                0.9999998362623723,
                0.9999998724808963,
                0.9999998362622552,
                0.9999998144609644,
                0.9999996533674202,
                0.9999998144608097,
                0.99999976176309
            ],
            [
                0.9999993524050473,
                0.9999987901337395,
                0.999999057755743,
                0.9999989322972572,
                0.9999992661786696,
                0.9999993524051246,
                0.9999977396748938,
                0.999999730042126,
                0.9999996072137061,
                0.9999994956526519
            ],
            [
                0.9999998555019963,
                0.999999352404893,
                0.9999998362622552,
                0.9999998555020135,
                0.9999998144609203,
                0.9999997617629764,
                0.9999997617630333,
                0.9999997897567091,
                0.9999998144609645,
                0.9999994284996211
            ],
            [
                0.9999996940977366,
                0.9999997617630048,
                0.9999998362622746,
                0.9999996533673375,
                0.9999998555019619,
                0.999999789756684,
                0.9999996940977366,
                0.9999997300421261,
                0.9999994956525918,
                0.9999998144608098
            ],
            [
                0.9999993524049702,
                0.99999893229713,
                0.9999998362623332,
                0.999999266179107,
                0.9999982396574162,
                0.9999998555020135,
                0.9999992661788445,
                0.9999996940977731,
                0.9999996072137061,
                0.9999991684716749
            ],
            [
                0.9999993524052018,
                0.9999998144609644,
                0.999999653367379,
                0.9999998362623722,
                0.9999996072138934,
                0.9999997897566089,
                0.9999995549150542,
                0.9999998144608319,
                0.9999997897565838,
                0.999999266179107
            ],
            [
                0.9999991684715759,
                0.9999995549149481,
                0.9999987901346049,
                0.9999992661786695,
                0.9999993524050473,
                0.9999962733589389,
                0.9999991684718732,
                0.9999970976873229,
                0.9999993524054334,
                0.9999996072138934
            ],
            [
                0.9999990577551814,
                0.9999885212346113,
                0.9999990577552939,
                0.9999990577549569,
                0.9999986290424664,
                0.9999974387177893,
                0.9999785550541426,
                0.9999957771655487,
                0.999999057755743,
                0.9999987901338837
            ],
            [
                0.9999930377429204,
                0.9999970976890528,
                0.9999945777829695,
                0.9999986290427931,
                0.9999869928653343,
                0.9999994284995529,
                0.9999984465020603,
                0.9999962733620487,
                0.9999984465026158,
                0.9999952149072167
            ],
            [
                0.9999984465015047,
                0.9999980052700408,
                0.9999945777784449,
                0.9999986290421394,
                0.9999980052700408,
                0.9999970976869769,
                0.9999996072138465,
                0.9999967112509347,
                0.9999987901343165,
                0.9999989322970027
            ],
            [
                5.715004470326849e-07,
                1.6373774480605869e-07,
                2.699577774579753e-07,
                2.1024331597262577e-07,
                3.466327037548308e-07,
                5.043473480766399e-07,
                8.76424013786396e-08,
                5.71500515159253e-07,
                2.6995774527718623e-07,
                2.3823682479292225e-07
            ],
            [
                0.9999997300422225,
                0.9999998362623722,
                0.9999997300422546,
                0.999999352405279,
                0.9999998362622357,
                0.9999996072137061,
                0.9999996940977366,
                0.999999887464905,
                0.9999996940977366,
                0.9999994956523514
            ],
            [
                0.9999992661788445,
                0.9999993524050473,
                0.9999996940976636,
                0.9999994956524115,
                0.9999997897566089,
                0.9999997617630616,
                0.9999994956527121,
                0.9999996533674615,
                0.9999996072139402,
                0.9999996072138465
            ],
            [
                0.99994170872751,
                0.9999485577924824,
                0.9999251537370454,
                0.9999151889586319,
                0.9999810748562713,
                0.999948557761818,
                0.9999898700066056,
                0.9999885212264011,
                0.9999910602994334,
                0.9999885212305059
            ],
            [
                0.9999998555019274,
                0.9999998144608319,
                0.9999998362622552,
                0.9999992661790196,
                0.9999997617631753,
                0.9999998874649184,
                0.999999855501979,
                0.9999997897567091,
                0.999999814460876,
                0.9999998144608097
            ],
            [
                0.9999646437408634,
                0.994779875152784,
                0.9999251537549052,
                0.9998204719482784,
                0.9998911031166554,
                0.9999151889687783,
                0.9999546021151283,
                0.9996646499306886,
                0.9999687980737526,
                0.999796572978062
            ],
            [
                0.9999997300421903,
                0.9999991684717741,
                0.9999997617631752,
                0.9999997617631469,
                0.9999997617629764,
                0.9999995549147889,
                0.9999997617631752,
                0.9999997617630333,
                0.9999996072138934,
                0.9999996072136592
            ],
            [
                0.9999997300421903,
                0.9999997897565587,
                0.9999989322968753,
                0.9999997300422868,
                0.9999987901338838,
                0.9999996940977366,
                0.9999993524050473,
                0.9999998362623723,
                0.9999992661791944,
                0.9999997617629764
            ],
            [
                0.9999996533672549,
                0.9999996072136125,
                0.999999352405279,
                0.9999996533672136,
                0.9999994284992805,
                0.9999997300421903,
                0.9999996072136592,
                0.9999995549148419,
                0.9999991684717741,
                0.9999995549147889
            ],
            [
                0.9999967112501505,
                0.999959936298269,
                0.9999974387184,
                0.9999945777803838,
                0.9999869928684344,
                0.9999974387180947,
                0.999997438717484,
                0.9999687980960708,
                0.9999724642990565,
                0.999992110738355
            ],
            [
                0.9999998362622552,
                0.9999997300422546,
                0.9999993524054334,
                0.999999855502048,
                0.9999998724809267,
                0.9999996533672135,
                0.9999997300421903,
                0.9999994956523512,
                0.9999996940976272,
                0.999999855502048
            ],
            [
                0.9999945777784447,
                0.9999957771675622,
                0.9999970976887068,
                0.9999977396754327,
                0.9999952149072165,
                0.9999724643056184,
                0.9999980052705163,
                0.9999910603015644,
                0.9999869928746368,
                0.9999810748585277
            ],
            [
                0.9999996940977366,
                0.9999998144609424,
                0.9999997300422868,
                0.9999998362622552,
                0.9999998144608097,
                0.9999996940977366,
                0.9999998555019791,
                0.9999997897567091,
                0.9999996533673788,
                0.9999996533672136
            ],
            [
                0.9999996072137998,
                0.9999998144608983,
                0.9999997897567341,
                0.9999994956527121,
                0.9999997617630332,
                0.9999997300421903,
                0.9999996072136592,
                0.9999994956527121,
                0.9999998362623528,
                0.9999997300421903
            ],
            [
                0.9999996072137529,
                0.9999996940977002,
                0.9999996940977731,
                0.9999996940976636,
                0.9999997617631469,
                0.9999998144608983,
                0.9999997617630333,
                0.9999996072138465,
                0.9999997617630049,
                0.9999994956527722
            ],
            [
                0.9999993524052018,
                0.9999998724808963,
                0.999999554914895,
                0.9999995549147889,
                0.9999999123575464,
                0.9999996940978095,
                0.9999996533674201,
                0.9999997897566589,
                0.9999996533674202,
                0.9999997617631184
            ],
            [
                0.9999938558268632,
                0.9999930377420907,
                0.9999869928699859,
                0.9999810748540158,
                0.9999724643187494,
                0.9999832985701917,
                0.9999756997679643,
                0.9999832985721839,
                0.9999832985721836,
                0.9999938558246657
            ],
            [
                0.9999996072137061,
                0.999999855501979,
                0.9999994956527121,
                0.9999998555019963,
                0.9999999123575045,
                0.9999997300421581,
                0.9999998724809115,
                0.9999997897566338,
                0.9999991684718732,
                0.9999996533675028
            ],
            [
                0.9999994284996211,
                0.9999998362623723,
                0.9999994284997573,
                0.9999998555020135,
                0.9999998362622357,
                0.9999993524051246,
                0.9999996072138934,
                0.9999996940977366,
                0.9999996533672549,
                0.9999994284995529
            ],
            [
                0.9999990577551814,
                0.9999998144609644,
                0.9999996533673375,
                0.9999997617630332,
                0.999999266178757,
                0.9999991684718732,
                0.9999994284996893,
                0.9999996072139402,
                0.9999992661791944,
                0.9999996533673375
            ],
            [
                0.9999992661791944,
                0.9999995549149481,
                0.9999996533672136,
                0.9999996940977366,
                0.9999996072138934,
                0.9999997300421903,
                0.9999997300422868,
                0.999999428499553,
                0.9999997897566589,
                0.9999998724809875
            ],
            [
                0.9999996072139402,
                0.9999996533673375,
                0.9999997617630616,
                0.9999997300421903,
                0.9999997617629764,
                0.9999996072136592,
                0.9999997897566589,
                0.9999994284996893,
                0.9999993524051246,
                0.9999995549150011
            ],
            [
                0.9999546021421827,
                0.9999977396759716,
                0.9999687980960651,
                0.9999962733589389,
                0.9999957771675623,
                0.9999962733602716,
                0.9999962733593831,
                0.9999977396765105,
                0.9999869928699847,
                0.9999967112509346
            ],
            [
                0.9999945777790912,
                0.9999945777829693,
                0.9999938558275957,
                0.9999974387180947,
                0.9999724643023379,
                0.9999898700078126,
                0.9999967112517186,
                0.9999869928684348,
                0.9999898700078125,
                0.9999921107383549
            ],
            [
                0.9999996940976636,
                0.9999996533674201,
                0.9999997300422225,
                0.9999998555019274,
                0.9999998144608097,
                0.9999996533672136,
                0.9999996072138934,
                0.9999996072137061,
                0.9999997897566089,
                0.9999998555019618
            ],
            [
                0.9999998555019963,
                0.9999998724809267,
                0.9999997300422868,
                0.9999997897567341,
                0.9999994284996211,
                0.9999999123575464,
                0.9999997617631184,
                0.9999998874648514,
                0.9999992661786695,
                0.9999997897565838
            ],
            [
                0.9999982396561571,
                0.9999952149037941,
                0.9999957771680656,
                0.9999977396765104,
                0.9999980052695652,
                0.9999992661792819,
                0.9999945777790911,
                0.9999977396759716,
                0.9999980052709918,
                0.9999982396559473
            ],
            [
                0.9999998724808963,
                0.9999996940978095,
                0.9999996940977731,
                0.9999996533674202,
                0.9999998362623528,
                0.9999994956527721,
                0.999999495652652,
                0.9999997300422225,
                0.9999996072138934,
                0.9999996072136592
            ],
            [
                0.9999994956525918,
                0.9999996072136592,
                0.9999998724808963,
                0.99999862904312,
                0.9999998724809267,
                0.9999997897565587,
                0.9999996072139402,
                0.9999996940977731,
                0.9999991684720715,
                0.9999996072137061
            ],
            [
                0.9999998362623332,
                0.9999996940978095,
                0.9999992661786696,
                0.9999994284996893,
                0.9999996533674615,
                0.9999997897566338,
                0.9999998144609203,
                0.9999997300422225,
                0.9999994956523512,
                0.999999554914895
            ],
            [
                0.9999996533674201,
                0.9999996072136592,
                0.9999996533673375,
                0.9999995549149481,
                0.9999982396572064,
                0.9999984465026158,
                0.9999997300420937,
                0.9999996533673788,
                0.9999994284994167,
                0.9999994284994849
            ],
            [
                4.450848927650143e-07,
                9.422448185510695e-07,
                6.475947209985977e-07,
                1.3709573702778664e-06,
                3.9278634073732336e-07,
                2.699578096399958e-07,
                5.043476486902204e-07,
                5.043472879540142e-07,
                3.9278610661822475e-07,
                2.6995784182140636e-07
            ],
            [
                0.9999993524052018,
                0.9999995549150542,
                0.9999995549149481,
                0.9999997897565587,
                0.9999997617631184,
                0.9999996940976636,
                0.9999997300422868,
                0.9999994956527121,
                0.9999996533674615,
                0.9999993524054334
            ],
            [
                0.9999994956524115,
                0.9999995549147889,
                0.9999997300422225,
                0.9999994284994167,
                0.9999996533672962,
                0.9999994956526519,
                0.9999995549150541,
                0.999999887464811,
                0.999999855502048,
                0.9999994956525918
            ],
            [
                0.9999997300420939,
                0.9999997300422225,
                0.9999998555019963,
                0.9999997300420937,
                0.9999994284996211,
                0.9999996072138465,
                0.9999998874649184,
                0.9999997897566089,
                0.9999996940977731,
                0.9999996072136125
            ],
            [
                0.9999996072137529,
                0.9999994284996211,
                0.9999997300420939,
                0.9999995549150011,
                0.9999997300421903,
                0.9999996533673788,
                0.9999998724809267,
                0.9999998144608983,
                0.999999554914895,
                0.9999997300421581
            ],
            [
                0.9999938558224684,
                0.9999898700126428,
                0.9999930377412604,
                0.9999945777790911,
                0.9999938558224682,
                0.9999977396759715,
                0.9999989322975118,
                0.9999785550464741,
                0.9999974387187053,
                0.9999974387177893
            ],
            [
                0.9999998555019963,
                0.999999814460876,
                0.9999997300421581,
                0.9999997897565587,
                0.9999994956524715,
                0.9999994284994849,
                0.9999995549150541,
                0.9999998362622747,
                0.9999994956527121,
                0.9999998362623332
            ],
            [
                0.9999995549150541,
                0.9999996072136125,
                0.9999990577555183,
                0.9999996940978095,
                0.9999994956525318,
                0.9999991684722697,
                0.9999997300422868,
                0.9999996940978095,
                0.9999997300422546,
                0.999999495652652
            ],
            [
                0.9999996072139402,
                0.9999991684721706,
                0.999999057755069,
                0.9999997300422546,
                0.999999057755743,
                0.9999998362622747,
                0.9999998144609645,
                0.9999996072137998,
                0.9999996940977002,
                0.9999993524050473
            ],
            [
                0.9999957771665555,
                0.9999952149060757,
                0.9999910603026305,
                0.9999970976876689,
                0.9999957771650453,
                0.9999930377445801,
                0.9999945777816766,
                0.9999945777829693,
                0.9999952149037941,
                0.9999967112505425
            ],
            [
                0.99999976176309,
                0.9999996940978095,
                0.9999990577552939,
                0.9999993524049702,
                0.9999990577554061,
                0.9999997300420937,
                0.999999266179107,
                0.9999992661792819,
                0.9999996072138934,
                0.9999997300422547
            ],
            [
                0.999999789756684,
                0.9999994956525318,
                0.9999998874648647,
                0.9999997897566089,
                0.9999996533673788,
                0.999999855501979,
                0.9999997617631753,
                0.9999994956525318,
                0.999999855501979,
                0.9999997300422868
            ],
            [
                0.9999996533674202,
                0.9999996072139402,
                0.9999993524054335,
                0.9999993524052019,
                0.999999495652652,
                0.9999996072137061,
                0.9999996940977002,
                0.9999996940978095,
                0.9999991684721706,
                0.9999994284996893
            ],
            [
                0.9999998555019446,
                0.9999994284996211,
                0.9999993524050474,
                0.999999352404893,
                0.9999996533675028,
                0.9999991684718732,
                0.9999994284995529,
                0.9999997617631752,
                0.9999984465024306,
                0.9999996940977731
            ],
            [
                0.9999982396574162,
                0.9999974387171786,
                0.999998239656367,
                0.9999987901347491,
                0.9999957771650453,
                0.9999952149072165,
                0.9999977396757022,
                0.9999984465015046,
                0.9999967112501504,
                0.9999974387177893
            ],
            [
                0.9999998555019446,
                0.9999996533674615,
                0.9999997300420937,
                0.9999997897565587,
                0.9999998724808963,
                0.9999992661789321,
                0.9999991684719723,
                0.9999998144608983,
                0.9999991684722698,
                0.9999998144608981
            ],
            [
                0.9999990577556308,
                0.9999994284995529,
                0.9999991684721706,
                0.9999996533672962,
                0.9999996940978095,
                0.9999994284996893,
                0.999999352405279,
                0.9999994284995529,
                0.9999995549149481,
                0.9999996533674201
            ],
            [
                0.9999994956525918,
                0.9999996533674201,
                0.9999992661791944,
                0.9999994956526519,
                0.9999997300421903,
                0.9999996533674615,
                0.999999730042319,
                0.9999997617630617,
                0.9999997897567091,
                0.9999996533673788
            ],
            [
                0.9999997300421903,
                0.9999994284996893,
                0.9999991684718732,
                0.9999994956524114,
                0.9999996940978095,
                0.9999989322967481,
                0.9999987901337396,
                0.9999998362622357,
                0.9999996940978825,
                0.999999554914842
            ],
            [
                0.9999998144608319,
                0.9999997617630049,
                0.9999995549147359,
                0.9999998555019274,
                0.9999997300421903,
                0.9999997617631184,
                0.999999730042319,
                0.9999996072137061,
                0.9999994284994167,
                0.9999993524050473
            ],
            [
                0.9999996533672549,
                0.9999996940976271,
                0.9999997617629764,
                0.999999352404893,
                0.9999996533673788,
                0.9999995549150011,
                0.9999996533673375,
                0.9999996072138465,
                0.9999994956524715,
                0.9999997897566089
            ],
            [
                0.9999998555019274,
                0.9999992661791944,
                0.9999996940977366,
                0.9999995549147889,
                0.9999998362623723,
                0.999999730042126,
                0.9999996940978825,
                0.999999789756684,
                0.9999996940978825,
                0.9999996940977731
            ],
            [
                0.9999996533674615,
                0.9999997897565587,
                0.9999987901343165,
                0.9999999006880668,
                0.9999996072138934,
                0.9999996940978825,
                0.9999996533672135,
                0.9999996940977366,
                0.9999996072138934,
                0.999999266179107
            ],
            [
                0.9999957771655487,
                0.9999599363078182,
                0.9999970976876689,
                0.9999990577549569,
                0.9999970976866309,
                0.999998790134028,
                0.9999982396574162,
                0.9999952149043646,
                0.9999984465020603,
                0.9999984465020603
            ],
            [
                0.9999992661789321,
                0.9999997617630617,
                0.9999998555020307,
                0.9999990577550691,
                0.999999814460876,
                0.9999990577555183,
                0.999999789756684,
                0.9999996533673788,
                0.9999994956525317,
                0.9999997300421581
            ],
            [
                0.9999996072139402,
                0.999999730042126,
                0.9999994956525918,
                0.9999991684718732,
                0.9999995549150011,
                0.9999996533675028,
                0.9999996940976272,
                0.9999994956525918,
                0.9999992661788445,
                0.9999996072138934
            ],
            [
                0.9999974387180947,
                0.9999952149043645,
                0.9999938558239332,
                0.9999970976873228,
                0.9999989322975118,
                0.9999974387171786,
                0.9999984465022455,
                0.9999984465020603,
                0.9999992661792819,
                0.999998790134605
            ],
            [
                0.9999998144609424,
                0.9999998724809419,
                0.9999997617631469,
                0.99999976176309,
                0.9999996940977002,
                0.9999998555019446,
                0.9999997617630332,
                0.9999996072138465,
                0.9999997897567091,
                0.9999997617631753
            ],
            [
                0.9999990577549568,
                0.9999986290423029,
                0.999995777166052,
                0.9999957771655487,
                0.9999986290426298,
                0.9999869928761876,
                0.9999977396746244,
                0.9999993524052789,
                0.9999993524054334,
                0.9999992661792819
            ]
        ]
    },
    {
        "q_id": "10613_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999945777823234,
                0.9999980052705164,
                0.9999921107383581,
                0.9999952149043648,
                0.9999810748450007,
                0.9999986290426297,
                0.9999832985702026,
                0.999997097686977,
                0.9999945777797382,
                0.9999938558232025
            ],
            [
                0.9999921107336535,
                0.9999546021097396,
                0.9999982396572065,
                0.9999687980737836,
                0.9999967112501509,
                0.9999832985702006,
                0.9999724643154754,
                0.999993037745411,
                0.9999898700090217,
                0.9999869928699887
            ],
            [
                0.9999967112513269,
                0.9999910603005013,
                0.99997246431224,
                0.9999962733616049,
                0.9902915227932566,
                0.9999952149037947,
                0.9999974387168735,
                0.9999417087346896,
                0.9999962733602719,
                0.9999991684720715
            ],
            [
                0.9999869928761898,
                0.9999970976887069,
                0.9999945777823237,
                0.9999957771660526,
                0.9999974387165685,
                0.9999974387187056,
                0.9999945777797385,
                0.9999977396751634,
                0.9999885212359836,
                0.9999991684719723
            ],
            [
                0.999995777166053,
                0.9999977396762411,
                0.9999957771675634,
                0.999996273362049,
                0.9999957771655499,
                0.9999996072137998,
                0.9999987901343165,
                0.9999962733611605,
                0.9999967112513272,
                0.9999977396754328
            ],
            [
                5.715003107525447e-07,
                9.422442569097361e-07,
                1.0129995808639442e-05,
                8.315281267248819e-07,
                9.422449308566668e-07,
                2.9023116389365734e-06,
                4.785096205651846e-06,
                7.338208929998139e-07,
                1.7603438427243761e-06,
                8.939698432917844e-06
            ],
            [
                0.9999987901346049,
                0.9999986290429566,
                0.9999967112509347,
                0.9999992661788445,
                0.9999546021476354,
                0.9999990577550693,
                0.9999885212359809,
                0.9999756997563815,
                0.9999987901337396,
                0.999992110737415
            ],
            [
                0.9999785550515939,
                0.9999852610197885,
                0.9999974387177895,
                0.999981074858544,
                0.9999991684720715,
                0.9999910603058294,
                0.9999910603047634,
                0.9999898700126462,
                0.9998766053664871,
                0.9999339478633812
            ],
            [
                5.043474683126242e-07,
                6.475949525781504e-07,
                3.927862002606139e-07,
                8.315283249833015e-07,
                4.450849988780466e-07,
                8.315279285088606e-07,
                2.3823696679040834e-07,
                7.338207180661203e-07,
                9.422445938861406e-07,
                4.450851049959619e-07
            ],
            [
                0.999996273362049,
                0.9999967112517189,
                0.9999994956527721,
                0.9999984465015048,
                0.9999957771645424,
                0.9999852610233037,
                0.9999987901338838,
                0.9999991684721706,
                0.9999869928715388,
                0.999998239656367
            ],
            [
                0.9999962733607162,
                0.9999994956525918,
                0.9999994956526519,
                0.9999970976873234,
                0.9999991684715759,
                0.9999990577556308,
                0.9999993524052019,
                0.9999991684719723,
                0.9999994956527121,
                0.9999982396561573
            ],
            [
                0.9999852610162822,
                0.9999810748562789,
                0.9999987901340281,
                0.9999687980812137,
                0.9999832985702033,
                0.9999987901347491,
                0.9999885212332446,
                0.9999962733611605,
                0.9999417087206875,
                0.9999898700041953
            ],
            [
                0.9999957771655498,
                0.9999970976866309,
                0.9999967112501511,
                0.9999724642957958,
                0.9999986290426297,
                0.9999957771650453,
                0.9999852610215446,
                0.9999952149032243,
                0.9999992661790195,
                0.9999987901341723
            ],
            [
                0.9999993524051246,
                0.9999995549147358,
                0.9999974387180949,
                0.999999554914789,
                0.9999982396561572,
                0.999998932296621,
                0.9999992661792819,
                0.9999994284996891,
                0.9999992661791944,
                0.9999998555020306
            ],
            [
                0.9999952149049358,
                0.9999910603026321,
                0.9999967112493666,
                0.9999724642990652,
                0.9999930377445815,
                0.9999756997621777,
                0.9999970976880149,
                0.9999339478397375,
                0.9999921107402365,
                0.999988521234616
            ],
            [
                0.9999970976890532,
                0.999996273361605,
                0.9999921107355373,
                0.9999945777823239,
                0.9999938558253993,
                0.9999930377437526,
                0.9999974387171787,
                0.9999989322968754,
                0.9999832985821496,
                0.9999756997563877
            ],
            [
                1.0129990967459678e-05,
                4.785092781300206e-06,
                4.785093923603471e-06,
                1.670142182342727e-05,
                7.889259756352216e-06,
                1.4738976691867467e-05,
                2.5612828209811664e-06,
                1.8925141442067574e-05,
                1.4738980208864656e-05,
                6.144175333401224e-06
            ],
            [
                3.2887490649759413e-06,
                1.067702742726318e-06,
                7.338212429240558e-07,
                7.338213303776118e-07,
                1.7603432132464244e-06,
                8.315280276399315e-07,
                2.56128159999123e-06,
                7.338212429240558e-07,
                1.994729721323867e-06,
                1.0677024881829577e-06
            ],
            [
                0.5621765008857981,
                0.9999852610127608,
                0.9669140219688264,
                0.9999974387184001,
                0.999991060302631,
                0.9999151889485933,
                0.9999990577554061,
                0.9999995549149481,
                0.9999962733589389,
                0.9241418257242036
            ],
            [
                6.475951069932288e-07,
                5.043473480678099e-07,
                1.553497198908852e-06,
                8.315280276338815e-07,
                5.715003788933905e-07,
                5.715005151485975e-07,
                5.043475284430694e-07,
                7.338207180601138e-07,
                5.043476486833397e-07,
                7.338208930144969e-07
            ],
            [
                0.9999982396572065,
                0.9999980052709919,
                0.9999982396567867,
                0.9999977396754328,
                0.9999994284995529,
                0.9999993524052019,
                0.9999994284996211,
                0.9999991684722697,
                0.9999986290432835,
                0.999999057755743
            ],
            [
                0.9999756997592727,
                0.9999546021422518,
                0.9999962733616048,
                0.9999957771665564,
                0.9999938558239342,
                0.9999952149032252,
                0.999997097689053,
                0.9999980052693274,
                0.9999962733598278,
                0.9999646437409038
            ],
            [
                1.9947290079889487e-06,
                3.288749848605725e-06,
                2.902310946944611e-06,
                2.9023119845142345e-06,
                1.0677029972833341e-06,
                4.7850933519861414e-06,
                1.0677027427166074e-06,
                1.3709578603435361e-06,
                2.902310946184398e-06,
                1.9947299589504427e-06
            ],
            [
                3.726640616423495e-06,
                2.902311984952413e-06,
                3.059023363221292e-07,
                3.4663274506893337e-07,
                1.0677032518316716e-06,
                1.5534981248712412e-06,
                5.715005151296257e-07,
                1.5534984952662413e-06,
                2.260324028255194e-06,
                9.422444814749625e-07
            ],
            [
                0.9999952149066477,
                0.9999885212359879,
                0.9999885212277776,
                0.9999852610145278,
                0.9999832985781602,
                0.9999724643089319,
                0.9999810748562966,
                0.9999984465015048,
                0.999995214907219,
                0.9999991684720716
            ],
            [
                0.9998601778927362,
                0.9999980052693275,
                0.9999599363030979,
                0.999925153790837,
                0.999796573085885,
                0.9999339478632303,
                0.9999687980775012,
                0.9999921107392972,
                0.999997739676511,
                0.999997739675433
            ],
            [
                0.9999898700102303,
                0.9999930377454112,
                0.9997388097554493,
                0.9999952149066468,
                0.9999546021205975,
                0.9998911031301132,
                0.9999938558253983,
                0.9999962733607161,
                0.9999869928746399,
                0.999996711250151
            ],
            [
                0.9999921107345933,
                0.9999921107402364,
                0.9999967112493667,
                0.9999957771670593,
                0.9999982396565769,
                0.9999984465015048,
                0.999992110739296,
                0.9999962733607164,
                0.999954602136841,
                0.9999980052705164
            ],
            [
                0.9999984465024307,
                0.9999980052707544,
                0.9999989322972573,
                0.9999995549147358,
                0.9999982396574163,
                0.9999982396561572,
                0.9999967112509357,
                0.9999974387187054,
                0.9999986290429567,
                0.9999974387171789
            ],
            [
                1.2098652508056196e-06,
                3.2887494570719725e-06,
                4.222832436871463e-06,
                1.7603438428188364e-06,
                1.0677031245623505e-06,
                1.0677029972993568e-06,
                1.7603436329554703e-06,
                2.2603251061232293e-06,
                5.71500242637956e-07,
                1.5534981248881956e-06
            ],
            [
                5.7150044702099e-07,
                1.0677032517384486e-06,
                4.450849458125204e-07,
                2.9023133689317184e-06,
                3.28874867308036e-06,
                1.7603434230088762e-06,
                1.9947299591826594e-06,
                4.4508515804389805e-07,
                8.315282259009745e-07,
                2.5612812946890944e-06
            ],
            [
                0.9999982396574163,
                0.9999991684720715,
                0.9999987901346051,
                0.9999986290423029,
                0.9999982396574165,
                0.9999991684721706,
                0.9999967112497586,
                0.9999995549148419,
                0.9999986290423029,
                0.9999997897566589
            ],
            [
                0.9999957771670591,
                0.9999987901347492,
                0.9999962733589393,
                0.9999974387184005,
                0.9999977396748939,
                0.9999986290427932,
                0.9999977396746245,
                0.9999992661790195,
                0.9999980052698032,
                0.9999970976887073
            ],
            [
                0.9999938558268644,
                0.9999989322966211,
                0.999992110736476,
                0.9999962733611605,
                0.9999982396574163,
                0.7981867777396212,
                0.9999756997564013,
                0.9999977396748942,
                0.9999485577864778,
                0.9999994956527722
            ],
            [
                4.450852641681257e-07,
                1.7603430032918752e-06,
                1.5534981249164537e-06,
                3.7266392835086923e-06,
                1.3709572066334069e-06,
                7.338207180661203e-07,
                3.2887506310811342e-06,
                1.0129988558423862e-05,
                6.475945665741875e-07,
                1.5534973841450852e-06
            ],
            [
                0.9999869928730909,
                0.9998204719912955,
                0.9999869928761915,
                0.9999921107364772,
                0.999995214904365,
                0.9999921107392983,
                0.9999898700102298,
                0.9999869928668871,
                0.9999962733589401,
                0.9999962733620498
            ],
            [
                0.9999987901347492,
                0.9999957771680661,
                0.9999974387168734,
                0.9999957771655494,
                0.9999910603068953,
                0.9999921107402366,
                0.9999938558224694,
                0.9999952149037957,
                0.999988521230513,
                0.999997097689053
            ],
            [
                2.260324567177841e-06,
                3.466327863784696e-07,
                1.553497569203316e-06,
                2.2603242964974424e-06,
                8.315284241333265e-07,
                1.2098652507439992e-06,
                2.5612828208879873e-06,
                1.3709576969153512e-06,
                2.260325105870372e-06,
                4.222835457906302e-06
            ],
            [
                0.9999952149072178,
                0.9999952149037947,
                0.999993855824667,
                0.9999885212291407,
                0.9999898700102309,
                0.9999930377404342,
                0.999988521233248,
                0.9999687980812043,
                0.9999785550439251,
                0.9999921107383561
            ],
            [
                0.9999962733607168,
                0.9999992661791071,
                0.999995214907218,
                0.9999962733602724,
                0.9999945777790926,
                0.9999990577557432,
                0.9999970976866314,
                0.9999982396569966,
                0.9999974387187063,
                0.999995214904365
            ],
            [
                0.9999977396765107,
                0.9999994284995529,
                0.9999992661791944,
                0.9999991684717741,
                0.9999995549151072,
                0.9999980052695652,
                0.9999987901341724,
                0.9999984465022456,
                0.999998239656367,
                0.9999986290424664
            ],
            [
                0.9999687980737803,
                0.9999810748472566,
                0.9999898700078197,
                0.9999885212332453,
                0.9999832985721927,
                0.9999832985701994,
                0.999993855827596,
                0.9999885212277744,
                0.999989870012649,
                0.9999898700066057
            ],
            [
                1.7603440526662173e-06,
                3.2887494571676872e-06,
                3.2887490652810324e-06,
                1.994729245345125e-06,
                1.0677024881761599e-06,
                3.059022269206168e-07,
                1.0677029972833341e-06,
                9.422442568428928e-07,
                1.067703251864202e-06,
                1.2098659719524008e-06
            ],
            [
                0.9999930377445817,
                0.9999980052693275,
                0.9999984465018751,
                0.9999810748472603,
                0.9999910603068963,
                0.9999756997592855,
                0.9999977396751634,
                0.999975699767967,
                0.9999599363126355,
                0.9999921107383573
            ],
            [
                0.9999921107345946,
                0.9999974387177893,
                0.9999974387187055,
                0.9999910603015656,
                0.9999967112501509,
                0.99997569976797,
                0.9999810748562796,
                0.999998790134605,
                0.9999852610215467,
                0.999996273358939
            ],
            [
                0.9999921107336541,
                0.9999990577550693,
                0.9999984465022455,
                0.9999986290424664,
                0.9999984465020604,
                0.9999989322972572,
                0.9999986290429566,
                0.9999989322975118,
                0.9999945777784449,
                0.9999967112497588
            ],
            [
                2.5612819052374947e-06,
                2.2603251061458426e-06,
                1.55349775456958e-06,
                2.902310946944611e-06,
                1.760342583722268e-06,
                4.222834954403545e-06,
                2.9023116388072315e-06,
                6.475948753741589e-07,
                9.422449308420983e-07,
                4.450852111100568e-07
            ],
            [
                0.9999970976866311,
                0.9999962733589393,
                0.9999977396746245,
                0.9999980052702787,
                0.9999938558246659,
                0.9999986290431201,
                0.9999945777823233,
                0.9999945777784452,
                0.999996273359828,
                0.9999938558261312
            ],
            [
                0.9999869928653375,
                0.9999810748540198,
                0.9999885212264026,
                0.9999869928715408,
                0.9999986290429566,
                0.9999810748562776,
                0.999989870011438,
                0.9999339478711677,
                0.9999930377420907,
                0.9999930377429213
            ],
            [
                1.3709572066982443e-06,
                1.5534981248881956e-06,
                2.260325375391425e-06,
                9.422444815220956e-07,
                5.04347588554027e-07,
                7.338208055536515e-07,
                1.2098662604126641e-06,
                1.067702742683591e-06,
                1.553497384058899e-06,
                1.5534977543661227e-06
            ],
            [
                0.999994577781677,
                0.9999785550490401,
                0.9999417087553831,
                0.9999898700102291,
                0.9999485578048337,
                0.9999339478398184,
                0.9999921107402382,
                0.9999646437535248,
                0.9999785550567043,
                0.9999957771660524
            ],
            [
                0.9999967112505429,
                0.9999962733593836,
                0.9999989322968754,
                0.9999977396762413,
                0.9999967112505428,
                0.9999852610180336,
                0.9999921107345942,
                0.999998239656577,
                0.9999967112497589,
                0.9999910603047634
            ],
            [
                0.9999756997650695,
                0.9999417087345305,
                0.9999251537907428,
                0.9999646437619403,
                0.9999417087484398,
                0.9999546021476734,
                0.9999485577986634,
                0.9999832985821452,
                0.9999810748585377,
                0.9999599362935414
            ],
            [
                0.9999756997650686,
                0.9999756997534802,
                0.9999832985721844,
                0.9999151889789765,
                0.9999869928684375,
                0.9999970976880151,
                0.9999974387177898,
                0.9999251537729474,
                0.9999417087553479,
                0.9999970976876692
            ],
            [
                8.315282259009745e-07,
                3.4663253846473677e-07,
                2.260324836651547e-06,
                6.475950297942253e-07,
                1.5534971989258068e-06,
                1.0677032518578904e-06,
                5.04347648680129e-07,
                1.7603430033799313e-06,
                1.9947306725669014e-06,
                3.466325797715686e-07
            ],
            [
                0.999983298570206,
                0.9999921107374171,
                0.999985261011005,
                0.9999952149055062,
                0.9999957771675638,
                0.9999869928746435,
                0.9999885212305187,
                0.9999810748585369,
                0.999991060304766,
                0.9999967112493667
            ],
            [
                4.222834953896582e-06,
                1.3709576970824327e-06,
                1.0677033791000363e-06,
                3.2887486729337966e-06,
                1.067702615348298e-06,
                1.067703251784089e-06,
                1.9947301968673173e-06,
                1.0677033791204289e-06,
                7.338211554591642e-07,
                2.9023126766305067e-06
            ],
            [
                0.9994472213239721,
                0.9998766054398833,
                0.9995121429442588,
                0.8354835411997897,
                0.9998766054549523,
                0.999512142770724,
                0.9982992778006469,
                0.9993736657561963,
                0.9998204720344955,
                0.9998911031037759
            ],
            [
                8.315279285251204e-07,
                4.222834954280646e-06,
                2.6995777745466066e-07,
                2.56128221024619e-06,
                5.715003107689177e-07,
                1.2098655392811161e-06,
                1.5534981247426673e-06,
                3.7266406160032166e-06,
                9.422445938454347e-07,
                1.3709578605542582e-06
            ],
            [
                7.338210679816025e-07,
                7.338208930315157e-07,
                8.31528126775552e-07,
                1.5534973841450852e-06,
                2.9023123310290063e-06,
                1.7603434231097403e-06,
                5.715005151400212e-07,
                1.5534977545102382e-06,
                9.422442568548903e-07,
                1.760344052632596e-06
            ],
            [
                1.3709568799679844e-06,
                9.422442569097361e-07,
                1.994729245878497e-06,
                5.04347528431602e-07,
                1.370956716519966e-06,
                1.5534971989696065e-06,
                1.0677028699625768e-06,
                7.338212429240558e-07,
                1.5534975692866768e-06,
                2.2603234893861252e-06
            ],
            [
                5.715003107655392e-07,
                8.315281267706361e-07,
                6.144177530001174e-06,
                1.3709567165087443e-06,
                1.9947297213746646e-06,
                1.994730196992497e-06,
                1.0677028700266676e-06,
                1.994729245878497e-06,
                1.7603434229576435e-06,
                9.422450431654909e-07
            ],
            [
                5.715004469900632e-07,
                1.2098656834834034e-06,
                1.3709567164962755e-06,
                1.994729007936337e-06,
                7.338210679542388e-07,
                1.2098655392354511e-06,
                2.260323758713745e-06,
                1.5534981248881956e-06,
                1.370957370196196e-06,
                5.04347348020793e-07
            ],
            [
                0.9999986290427932,
                0.9999962733602723,
                0.9999987901347492,
                0.9999984465018751,
                0.9999990577550693,
                0.9999997897565838,
                0.9999996940978095,
                0.9999977396762414,
                0.9999989322972573,
                0.9999991684715759
            ],
            [
                0.9993736657582003,
                0.9998911030649322,
                0.999989870004192,
                0.9999810748540198,
                0.9999485578047641,
                0.9999151889588409,
                0.9999646437535213,
                0.999959936298299,
                0.9998911030390163,
                0.9999546021476212
            ],
            [
                0.999995214904935,
                0.9999970976880149,
                0.99999893229713,
                0.9999987901337396,
                0.9999938558268635,
                0.9999990577554061,
                0.9999987901343165,
                0.9999967112493665,
                0.9999993524052019,
                0.9999990577549569
            ],
            [
                7.338210679755959e-07,
                1.0677027427166074e-06,
                8.315283250150648e-07,
                6.475950297821511e-07,
                9.422442568951678e-07,
                1.0677028698693545e-06,
                6.475946437657736e-07,
                8.315283250006957e-07,
                8.315278293838516e-07,
                6.475945665671197e-07
            ],
            [
                5.715004470243685e-07,
                5.715002426343175e-07,
                1.7603430032918752e-06,
                5.715004470077356e-07,
                2.26032429745131e-06,
                1.7603434231097403e-06,
                5.715007195119775e-07,
                1.0677032517209695e-06,
                1.2098656833865714e-06,
                1.2098655392574583e-06
            ],
            [
                0.9999984465018752,
                0.9999945777816772,
                0.9999980052693275,
                0.999997097688707,
                0.9999974387171787,
                0.9999977396759718,
                0.9999921107374168,
                0.9999967112505429,
                0.9999869928699883,
                0.9999982396574164
            ],
            [
                0.9999957771670593,
                0.9999967112509349,
                0.9999938558253986,
                0.9999938558232011,
                0.9999982396574163,
                0.9999994284996893,
                0.9999921107336539,
                0.9999991684719723,
                0.9999977396751633,
                0.9999991684718732
            ],
            [
                0.9999986290427932,
                0.9999994284992805,
                0.9999987901341723,
                0.9999977396765108,
                0.9999967112497589,
                0.999998005270279,
                0.9999970976883613,
                0.9999974387165687,
                0.9999992661786696,
                0.9999986290427931
            ],
            [
                0.9999982396559474,
                0.9999989322967482,
                0.9999989322970028,
                0.9999974387187055,
                0.9999982396572064,
                0.9999974387177893,
                0.9999962733620491,
                0.9999977396757023,
                0.999997097688707,
                0.9999982396563671
            ],
            [
                0.9999994956527121,
                0.9999982396574163,
                0.9999974387168734,
                0.9999987901344608,
                0.99999844650169,
                0.999999554915001,
                0.9999997300422225,
                0.9999991684717741,
                0.999999266179107,
                0.9999970976866313
            ],
            [
                0.9999546021205649,
                0.7310585786300048,
                0.9999038976194506,
                0.9999987901341723,
                0.8933094145755219,
                0.9999785550464798,
                0.999373665899275,
                0.99996879809608,
                0.9999898700053991,
                0.9940889321616543
            ],
            [
                2.902313368860448e-06,
                2.2603240281606297e-06,
                4.785093922889744e-06,
                3.726637951028202e-06,
                2.561281599734989e-06,
                1.0677027427068966e-06,
                2.9023119844508833e-06,
                3.726637950851956e-06,
                4.785093922115089e-06,
                2.260324836651547e-06
            ],
            [
                0.9999992661786695,
                0.9999910603047654,
                0.9999785550490375,
                0.9999910602994345,
                0.9999980052705163,
                0.9999977396748939,
                0.9999945777823233,
                0.9999785550567096,
                0.9999962733593833,
                0.9999945777803847
            ],
            [
                2.56128221024619e-06,
                9.422449308035348e-07,
                5.715004470077356e-07,
                9.422448185187191e-07,
                1.5534983099564047e-06,
                2.2603240281606297e-06,
                9.422445938642879e-07,
                1.8553905759809327e-07,
                3.288750632678377e-06,
                1.9947299590810645e-06
            ],
            [
                0.9999994284997574,
                0.9999996072139402,
                0.9999982396569966,
                0.9999989322968754,
                0.9999970976869773,
                0.9999992661788446,
                0.9999952149049369,
                0.9999982396569967,
                0.9999980052695652,
                0.9999982396563671
            ],
            [
                2.561283430765865e-06,
                3.7266406165319545e-06,
                3.2887506333812835e-06,
                2.2603253754921562e-06,
                1.9947297213492663e-06,
                1.553497198908852e-06,
                2.9023123305485934e-06,
                1.7603438428460541e-06,
                1.2098656832853378e-06,
                1.9947304345919157e-06
            ],
            [
                0.9999921107355351,
                0.999993855823202,
                0.9999992661792819,
                0.9999991684716749,
                0.9999974387171787,
                0.9999967112509349,
                0.9999970976869772,
                0.999996711249367,
                0.9999974387174841,
                0.9999974387184001
            ],
            [
                0.9999724642957772,
                0.999996711251719,
                0.9999984465022455,
                0.9999967112493665,
                0.9999832985702033,
                0.9999994956524114,
                0.9999982396559474,
                0.9999974387171787,
                0.9999970976866313,
                0.999992110740236
            ],
            [
                0.9999957771670591,
                0.9999987901347491,
                0.9999987901340281,
                0.9999852610233037,
                0.9999952149037943,
                0.9999992661790196,
                0.9999986290423029,
                0.9999980052700409,
                0.9999977396751634,
                0.9999724643154878
            ],
            [
                2.2603242967852476e-06,
                4.2228319329965265e-06,
                1.2098659719122375e-06,
                4.222832437109582e-06,
                1.2098653950205268e-06,
                1.0677024881004167e-06,
                8.315277301416325e-07,
                7.338213303475785e-07,
                3.059023727786437e-07,
                1.067702742683591e-06
            ],
            [
                0.9999984465024306,
                0.9999885212291404,
                0.9999485578047809,
                0.999964643732451,
                0.9999992661787571,
                0.9999832985701973,
                0.9999687980886387,
                0.9999724642990664,
                0.9998601779602719,
                0.9999832985801543
            ],
            [
                6.475950297942253e-07,
                1.9947301968056346e-06,
                7.338209804920378e-07,
                1.370957533462248e-06,
                6.475948753930064e-07,
                7.338209805090567e-07,
                1.2098655392090423e-06,
                5.04347648672331e-07,
                6.475951069855719e-07,
                5.71500719517695e-07
            ],
            [
                0.9999938558253996,
                0.9999977396746246,
                0.9999599362887714,
                0.9999938558268634,
                0.999998790134028,
                0.9999869928715369,
                0.9999977396757023,
                0.999997097688015,
                0.999997097688015,
                0.9999962733616049
            ],
            [
                0.9999984465026159,
                0.999998005269803,
                0.9999977396746247,
                0.9999990577550691,
                0.999996711251327,
                0.9999987901344607,
                0.9999974387187054,
                0.9999984465024307,
                0.9999967112517194,
                0.9999984465028011
            ],
            [
                6.475950297821511e-07,
                3.2887478863371333e-06,
                6.962253752154212e-06,
                3.7266397254252144e-06,
                2.9023112919177154e-06,
                1.370957370126371e-06,
                4.78509449293172e-06,
                9.422447062030659e-07,
                2.9023133683457202e-06,
                1.067702742683591e-06
            ],
            [
                0.9999994284994168,
                0.999999352405279,
                0.9999996072139402,
                0.9999952149049366,
                0.9999990577556308,
                0.9999990577551815,
                0.9999945777829706,
                0.9999982396567868,
                0.9999991684719723,
                0.9999938558261321
            ],
            [
                0.9999251537461851,
                0.9999785550541526,
                0.999997097689053,
                0.9999990577551816,
                0.999959936312614,
                0.9999989322975118,
                0.9999977396757023,
                0.9999945777816771,
                0.9999599363126283,
                0.9999980052702786
            ],
            [
                9.422449308241022e-07,
                6.475951069631906e-07,
                5.715006513999389e-07,
                1.3709568798420497e-06,
                1.0677026154055912e-06,
                1.3709568798956654e-06,
                7.338209804987119e-07,
                9.422442569028803e-07,
                2.2603240281935217e-06,
                8.315283250006957e-07
            ],
            [
                9.422445938797133e-07,
                6.475947981860793e-07,
                3.927862939075802e-07,
                2.26032348933062e-06,
                8.315277302649045e-07,
                2.699577452733192e-07,
                1.5534975693036317e-06,
                2.561283431189828e-06,
                2.561282821106957e-06,
                7.338208930315157e-07
            ],
            [
                0.9999993524054335,
                0.9999982396574163,
                0.9999996940976636,
                0.9999990577556308,
                0.9999992661787571,
                0.9999980052693275,
                0.9999987901344607,
                0.999999352404893,
                0.9999990577552939,
                0.9999991684715758
            ],
            [
                0.9999852610145189,
                0.9999810748472499,
                0.9999810748540218,
                0.9999599363174135,
                0.999993855826131,
                0.9999339478632563,
                0.9999687980812089,
                0.9999251537552144,
                0.9996200154321409,
                0.9999885212318813
            ],
            [
                0.9999986290421395,
                0.9999986290432835,
                0.9999989322975119,
                0.9999993524052018,
                0.9999997617630616,
                0.9999991684719725,
                0.999999428499553,
                0.9999994956527722,
                0.9999994284994849,
                0.9999986290427931
            ],
            [
                5.715007195228928e-07,
                1.5534977544141614e-06,
                3.927861066113479e-07,
                1.7603432132464244e-06,
                1.553497198626273e-06,
                9.422447061782138e-07,
                8.315280276338815e-07,
                1.99473019627589e-06,
                3.927862938956128e-07,
                7.338208930144969e-07
            ],
            [
                0.9999952149049353,
                0.9999994956525918,
                0.9999785550490452,
                0.9999982396572065,
                0.9999993524052019,
                0.9999991684722697,
                0.9999987901344608,
                0.9999996533674614,
                0.9999990577552939,
                0.9999991684715759
            ],
            [
                0.9999885212318776,
                0.999995777166053,
                0.9999869928746418,
                0.9999989322968754,
                0.9999962733611605,
                0.9999970976866315,
                0.9999962733589404,
                0.9999756997534945,
                0.9999910603068949,
                0.9999921107345939
            ],
            [
                0.9999967112497589,
                0.9999921107364742,
                0.9999810748540204,
                0.9999921107392955,
                0.999998446502801,
                0.9999898700053996,
                0.9999756997650652,
                0.9999930377445805,
                0.999997097688361,
                0.999994577782323
            ],
            [
                0.9999984465026158,
                0.9999984465022455,
                0.9999993524049702,
                0.9999982396565769,
                0.9999852610233037,
                0.9999993524051246,
                0.9999938558232029,
                0.9999974387171787,
                0.999972464302351,
                0.999996273362049
            ],
            [
                0.9999930377412609,
                0.9999251537996128,
                0.9998601778597159,
                0.9999832985821404,
                0.9999898700102289,
                0.9999785550413645,
                0.9999869928653348,
                0.9999546021097719,
                0.9999921107383555,
                0.9999952149066471
            ],
            [
                0.9999898700053997,
                0.9999785550439356,
                0.9999038976081689,
                0.9997965730770653,
                0.9999687980923798,
                0.9999038975968478,
                0.9999756997650743,
                0.9999832985741774,
                0.9999852610239061,
                0.9999687980774836
            ],
            [
                0.9999970976880155,
                0.99999844650169,
                0.9999982396559475,
                0.9999989322966208,
                0.9999991684721706,
                0.9999970976876693,
                0.9999980052700408,
                0.9999982396567867,
                0.999993855827597,
                0.9999982396572065
            ],
            [
                0.9999982396565771,
                0.9999869928761874,
                0.9999952149032237,
                0.9999991684717741,
                0.9999852610215451,
                0.9999991684717741,
                0.9999869928761884,
                0.999998005269803,
                0.9999994284994848,
                0.9999987901343165
            ],
            [
                8.315282258680767e-07,
                3.726637951079042e-06,
                2.9023126769762986e-06,
                8.315280276338815e-07,
                9.422447061456491e-07,
                4.222832437324657e-06,
                1.5534981248881956e-06,
                4.450851580469341e-07,
                1.3709568799106278e-06,
                6.475951069855719e-07
            ],
            [
                1.1478772211198298e-05,
                9.422447061456491e-07,
                1.670141976882121e-05,
                2.4300252291096595e-05,
                4.222832436587256e-06,
                8.939696300376156e-06,
                4.222835456105047e-06,
                3.120191116876594e-05,
                5.829127919374888e-05,
                5.8291279181025874e-05
            ],
            [
                0.999997438716568,
                0.9999957771660523,
                0.999959936317381,
                0.999996273360716,
                0.9999974387187053,
                0.9999687980774782,
                0.999996273358939,
                0.9999952149049355,
                0.9999980052705164,
                0.9999962733607163
            ],
            [
                0.9999599362934992,
                0.9996646498950278,
                0.9997965730032102,
                0.999891103130129,
                0.9998601779762664,
                0.9999038975393034,
                0.999941708741448,
                0.9999646437450908,
                0.9997388097867979,
                0.9997694932306012
            ],
            [
                0.9999910603015654,
                0.9998911030650717,
                0.9999962733611603,
                0.9999977396765106,
                0.9999980052702787,
                0.9999251537818293,
                0.999998446502801,
                0.9999417087136441,
                0.9999810748585329,
                0.999998005270992
            ],
            [
                3.0590211752206485e-07,
                2.56128159959988e-06,
                1.9947304348332037e-06,
                1.9947290078746543e-06,
                4.222834953712232e-06,
                2.5612822103812995e-06,
                5.043474683050556e-07,
                6.1441767989541075e-06,
                4.4508494579187554e-07,
                8.315279284937352e-07
            ],
            [
                0.9999910603015658,
                0.9999756997592754,
                0.9999984465024307,
                0.9998766053665553,
                0.9999417087275915,
                0.8354835350552603,
                0.9770226308844647,
                0.4378234991142019,
                0.999994577779092,
                0.9999957771660526
            ],
            [
                0.9999910603015668,
                0.9999967112493665,
                0.9999990577551815,
                0.9999885212277729,
                0.9999910603026321,
                0.9999952149072169,
                0.9999957771670596,
                0.9999967112517191,
                0.9999869928684394,
                0.9999967112497585
            ],
            [
                0.9999980052702786,
                0.999996711250935,
                0.999992110735535,
                0.9999984465028011,
                0.9999982396572065,
                0.9999921107383564,
                0.9999952149060765,
                0.9999930377437513,
                0.9999952149060781,
                0.9999987901344607
            ],
            [
                0.9999990577551816,
                0.9999990577550691,
                0.9999990577557432,
                0.9999994284993486,
                0.9999980052698032,
                0.9796676482156224,
                0.9999990577555185,
                0.9999967112509351,
                0.999998790134028,
                0.9999987901338839
            ],
            [
                0.999999428499553,
                0.9999993524049702,
                0.9999992661788445,
                0.9999991684717741,
                0.9999962733593841,
                0.9999869928730917,
                0.9999996533672962,
                0.9999980052709921,
                0.9999756997563796,
                0.9999151889387524
            ],
            [
                0.9999984465022455,
                0.9999485578048176,
                0.9999992661788445,
                0.9999982396567868,
                0.9999921107374156,
                0.9999986290424663,
                0.9999938558268635,
                0.9999957771660523,
                0.9999982396559474,
                0.9999930377412614
            ],
            [
                0.9999962733598274,
                0.999996711250935,
                0.9999952149060758,
                0.9999869928684365,
                0.9999984465015048,
                0.99994855779869,
                0.999993855823934,
                0.9999910603068943,
                0.9999986290427932,
                0.9999832985801479
            ],
            [
                0.999996273362049,
                0.999996711250543,
                0.9999984465026159,
                0.999996711249759,
                0.9999970976866313,
                0.9999990577555185,
                0.9999986290429567,
                0.9999990577557432,
                0.9999991684716749,
                0.9999987901343165
            ],
            [
                0.9999977396757023,
                0.9999980052698032,
                0.9999962733593845,
                0.9999945777790917,
                0.9999957771645426,
                0.999996711251327,
                0.9999982396567868,
                0.9999938558275966,
                0.9999898700126474,
                0.9999938558275963
            ],
            [
                0.9999957771660523,
                0.9999599362935236,
                0.9999962733611609,
                0.999964643757734,
                0.9999687980774897,
                0.9999930377445811,
                0.9998911031298644,
                0.99970404276137,
                0.9999724642990652,
                0.9999898700126442
            ],
            [
                0.9999339478396377,
                0.9999921107374152,
                0.9999485577987738,
                0.9999952149055054,
                0.9999724643121954,
                0.999978555059262,
                0.9999967112521111,
                0.9999952149055057,
                0.9999810748517699,
                0.9999687980960889
            ],
            [
                6.144177530146464e-06,
                5.715003788933905e-07,
                3.288749849209925e-06,
                3.7266410603195545e-06,
                1.5534983101301911e-06,
                8.315279285012978e-07,
                1.7603440526806268e-06,
                8.315281266658928e-07,
                9.422449308241022e-07,
                4.4508499887035535e-07
            ],
            [
                0.9999957771650454,
                0.9999251537460472,
                0.9999989322970027,
                0.9999995549147359,
                0.9999980052695652,
                0.9999151889890266,
                0.9999977396748938,
                0.9999993524054334,
                0.9999977396748945,
                0.9999989322972572
            ],
            [
                2.9023116385379885e-06,
                6.144173869072478e-06,
                1.9947306725215466e-06,
                1.99472995920443e-06,
                5.422217676200406e-06,
                6.962259567407701e-06,
                2.2603248366762157e-06,
                2.902313021413763e-06,
                9.422449308420983e-07,
                1.5534984952662413e-06
            ],
            [
                0.9999810748562757,
                0.9999599362982811,
                0.9999810748449944,
                0.9999756997592727,
                0.9999984465022455,
                0.9999980052709919,
                0.9999930377454109,
                0.9999832985721865,
                0.9999910602994355,
                0.9999921107336528
            ],
            [
                0.9999938558253991,
                0.9997965730519172,
                0.9999952149055057,
                0.9999417087345043,
                0.999975699765066,
                0.9999885212305103,
                0.9999977396754328,
                0.9999852610145172,
                0.9999980052705163,
                0.999993037746241
            ],
            [
                0.9999974387180948,
                0.9999995549147889,
                0.9999898700126495,
                0.9999982396567868,
                0.9999832985841378,
                0.9999984465018752,
                0.9999967112493677,
                0.9999938558275979,
                0.9999982396561572,
                0.9999970976866311
            ],
            [
                0.9999992661787571,
                0.9999980052709921,
                0.9999967112521111,
                0.999996711249367,
                0.9999980052698033,
                0.999993855825402,
                0.9999957771645426,
                0.9999962733611607,
                0.9999962733593837,
                0.9999994284994849
            ]
        ]
    },
    {
        "q_id": "10514_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.8553919030708836e-07,
                3.927861066113479e-07,
                1.0677027427525368e-06,
                1.5534977545603963e-06,
                1.7603427936183298e-06,
                2.699578739984626e-07,
                5.715005832762133e-07,
                1.6373762769034363e-07,
                2.382368815882068e-07,
                1.27519073289925e-07
            ],
            [
                3.120190018853766e-05,
                4.785093353787868e-06,
                2.5612825160271407e-06,
                1.5534971989809095e-06,
                4.222833947897496e-06,
                0.00026119030819781683,
                4.785093924156175e-06,
                2.5612834320214477e-06,
                3.5356238062828204e-05,
                1.0129990977520359e-05
            ],
            [
                1.9947290080905435e-06,
                3.288750633518874e-06,
                4.785093924103951e-06,
                3.7266388397721442e-06,
                1.7603440526806268e-06,
                1.0677024881980089e-06,
                2.9023112931213857e-06,
                1.2098655392921197e-06,
                9.422444815679433e-07,
                2.5612812945889277e-06
            ],
            [
                1.2098662603862553e-06,
                6.475950297971703e-07,
                9.422445938728576e-07,
                1.3709570434054234e-06,
                2.6995768091383957e-07,
                1.3709575336654889e-06,
                1.0677032518700286e-06,
                9.422450431912e-07,
                3.726640616630245e-06,
                8.31528126775552e-07
            ],
            [
                0.9999977396762411,
                0.9999898700053976,
                0.9999930377404305,
                0.9999832985781563,
                0.9999810748472484,
                0.9999945777816767,
                0.9999852610127589,
                0.9999921107392954,
                0.9999869928653338,
                0.9999756997534747
            ],
            [
                1.0677028700266676e-06,
                2.902312331081799e-06,
                1.5534975693792215e-06,
                2.561282821352716e-06,
                4.4508494582314646e-07,
                9.422444815726566e-07,
                4.450849458200093e-07,
                5.715002426460124e-07,
                2.1024339116134898e-07,
                2.2603245672867952e-06
            ],
            [
                3.0590222692437275e-07,
                5.043474683220276e-07,
                1.8925148239772175e-05,
                3.0590233632400716e-07,
                1.7603427936079236e-06,
                5.422218969384951e-06,
                4.5397852401406606e-05,
                4.450849988798682e-07,
                1.2098659719524008e-06,
                5.422217030495909e-06
            ],
            [
                0.9998911031167671,
                0.9999869928746374,
                0.9999910602994334,
                0.9999485577802159,
                0.9999724643089007,
                0.9998204720554438,
                0.9999687980997913,
                0.9999785550515867,
                0.9999724642990556,
                0.999978555049031
            ],
            [
                3.288748673360027e-06,
                4.450852111148132e-07,
                3.2887478892055875e-06,
                2.1444950959977102e-05,
                4.222831934286977e-06,
                1.3709575337078829e-06,
                5.422218969769604e-06,
                3.726641061058432e-06,
                8.315284241560147e-07,
                7.889259763728304e-06
            ],
            [
                3.288748281220719e-06,
                2.6995774527718623e-07,
                9.422450431732037e-07,
                6.475949526003845e-07,
                5.043474081931949e-07,
                5.715003107738556e-07,
                9.422444815563743e-07,
                3.7266410608245674e-06,
                1.6701427817427163e-05,
                4.785094494783494e-06
            ],
            [
                1.0677027427525368e-06,
                1.8553914607237736e-07,
                3.4663266243308805e-07,
                9.422444815792981e-07,
                1.7603440527046419e-06,
                3.0590222692437275e-07,
                6.144173869446876e-06,
                2.6995784182140636e-07,
                5.043472278280699e-07,
                3.927862470899887e-07
            ],
            [
                4.450851049959619e-07,
                1.3709572068179446e-06,
                5.715003789033962e-07,
                1.8553907971855875e-07,
                1.2098653950606901e-06,
                7.338213304283347e-07,
                5.715005151574337e-07,
                3.9278615344178325e-07,
                1.3709568799679844e-06,
                4.785092783319532e-06
            ],
            [
                6.475946438022905e-07,
                2.6995787400282076e-07,
                4.785094493636744e-06,
                5.715002426439334e-07,
                1.7603432133296774e-06,
                3.466327037539638e-07,
                8.3152792852928e-07,
                2.6995768091383957e-07,
                1.9947306726358406e-06,
                2.561283432005142e-06
            ],
            [
                3.466327450756327e-07,
                3.059022269250683e-07,
                2.6995780963846126e-07,
                1.553497754577351e-06,
                1.3709570434122812e-06,
                4.450852641717689e-07,
                6.475947981975644e-07,
                1.3709578605542582e-06,
                7.338207180884785e-07,
                1.8553910183607374e-07
            ],
            [
                0.999704042901048,
                0.9990889488696014,
                0.9998415637645629,
                0.9998601779092962,
                0.9999151889586547,
                0.9996200155154941,
                0.9997040427956243,
                0.9999485577802131,
                0.999088948780274,
                0.9959298632184614
            ],
            [
                1.0677024881980089e-06,
                2.9023133690425823e-06,
                9.42244930862237e-07,
                3.2887498494282754e-06,
                2.902313023039776e-06,
                1.8925143727854426e-05,
                8.315281267861397e-07,
                7.338208930421943e-07,
                1.0677027427413698e-06,
                3.726639728348526e-06
            ],
            [
                0.999941708741432,
                0.9999957771650453,
                0.9999724643154654,
                0.9999957771675623,
                0.9999930377404305,
                0.9999885212318746,
                0.999997739675702,
                0.9999938558261308,
                0.9999724643154672,
                0.9999810748449929
            ],
            [
                0.9990889488756414,
                0.9993736657457032,
                0.9996646498495616,
                0.9990889488716148,
                0.9986749776787591,
                0.999820471948119,
                0.999769493367325,
                0.999704042794393,
                0.999891103038808,
                0.9997040429004367
            ],
            [
                3.2887502408573863e-06,
                1.5534983101393749e-06,
                2.2603242978377903e-06,
                2.9023123310580418e-06,
                1.0129992186202796e-05,
                5.715002426439334e-07,
                2.5612816000331606e-06,
                1.5534981249291695e-06,
                1.3709570433885908e-06,
                1.3709573702566696e-06
            ],
            [
                1.7603427936079236e-06,
                1.473898899664279e-05,
                6.144172404520556e-06,
                1.6701421843720577e-05,
                5.422219616026655e-06,
                4.78509506499309e-06,
                6.962254589617333e-06,
                4.5397890257685224e-05,
                2.7535687815134722e-05,
                1.1478766757049986e-05
            ],
            [
                2.5612816000646084e-06,
                3.9278610661822475e-07,
                1.2098659718693234e-06,
                2.3823685319244518e-07,
                6.475951069985296e-07,
                5.715003107715166e-07,
                6.144177531381426e-06,
                7.889260703906985e-06,
                3.059021539909339e-07,
                9.42244930862237e-07
            ],
            [
                0.9999038975621809,
                0.999964643757755,
                0.999796572979015,
                0.9998911031167798,
                0.9999832985741748,
                0.9999251537817373,
                0.9996200154722918,
                0.9999038975508214,
                0.9999151889182442,
                0.9996646499320739
            ],
            [
                5.715005151485975e-07,
                9.422445938917108e-07,
                3.2887498494551953e-06,
                1.9947301970451086e-06,
                1.0677029973114952e-06,
                6.14417313680765e-06,
                5.715003789017068e-07,
                3.2887486731641103e-06,
                6.96225541916544e-06,
                1.2098658277181688e-06
            ],
            [
                0.9999038976079765,
                0.9992903295353485,
                0.9991959140552513,
                0.9999251537816741,
                0.9980732651154897,
                0.9998204720766403,
                0.9996200155147755,
                0.998830489913227,
                0.9984988178992644,
                0.9241418121440552
            ],
            [
                0.999841563839772,
                0.9902915242527491,
                0.9959298624634251,
                0.9978172831712918,
                0.9953904273698022,
                0.9996646498514739,
                0.8519527963298947,
                0.9996200154688759,
                0.999620015514068,
                0.9984988176968465
            ],
            [
                5.043474081831035e-07,
                8.315282259089153e-07,
                1.3709576971316842e-06,
                7.889261644982674e-06,
                4.78509563550957e-06,
                1.553497754577351e-06,
                3.288747889229516e-06,
                1.5534983101393749e-06,
                8.939700564890901e-06,
                2.561282821209454e-06
            ],
            [
                0.9991959141535074,
                0.9998911030647532,
                0.9997040428302661,
                0.9995121428226936,
                0.9998204720339182,
                0.999860177926084,
                0.9998204720555091,
                0.9992903294570835,
                0.9997040427597426,
                0.9978172840059685
            ],
            [
                0.9999599362934897,
                0.9999832985841296,
                0.9999785550541431,
                0.9999832985701931,
                0.9999599362982708,
                0.999989870006605,
                0.9999417087483762,
                0.9999485577679469,
                0.9999339478553424,
                0.9999785550464741
            ],
            [
                4.2228349543420954e-06,
                1.7603434231505666e-06,
                3.4663249714451116e-07,
                8.939700566565793e-06,
                2.2603248365960415e-06,
                3.2887494573561262e-06,
                8.939699500766203e-06,
                8.939693105662367e-06,
                1.9947301970287804e-06,
                6.962259569003389e-06
            ],
            [
                0.9995121427634297,
                0.9999687980997966,
                0.9997694932846602,
                0.9998766054399821,
                0.9993736658952308,
                0.9996646498096079,
                0.9999599362887142,
                0.999972464312183,
                0.9999546021367646,
                0.9999038975508887
            ],
            [
                0.9999898700053989,
                0.999972464315468,
                0.9999485577740814,
                0.9999957771675623,
                0.9999832985761644,
                0.9999869928684342,
                0.999992110740236,
                0.9999885212277695,
                0.9999810748449939,
                0.9999756997650613
            ],
            [
                5.043473480766399e-07,
                2.9023133690637e-06,
                2.3823693839290317e-07,
                1.9947299592570416e-06,
                9.422443692527585e-07,
                7.338209805170655e-07,
                3.288747889178668e-06,
                6.47594566597747e-07,
                2.561282210701601e-06,
                1.370957860567974e-06
            ],
            [
                8.315280276607289e-07,
                3.9278634073732336e-07,
                3.927860597945825e-07,
                5.422217677028889e-06,
                9.422448185478557e-07,
                1.0677027427600627e-06,
                1.9947306726594253e-06,
                3.0590237278838124e-07,
                5.715003107738556e-07,
                4.222833947932061e-06
            ],
            [
                1.5534981249574276e-06,
                5.043474683220276e-07,
                4.4508526417298334e-07,
                3.466327450756327e-07,
                4.4508515805199415e-07,
                3.927862939126708e-07,
                8.315279285351409e-07,
                5.043472879525233e-07,
                5.715004470243685e-07,
                8.315280276580819e-07
            ],
            [
                1.9947301970813926e-06,
                6.962257079376403e-06,
                7.338207180761315e-07,
                7.889259763010786e-06,
                3.72664017246987e-06,
                2.1444945844872185e-05,
                4.222833947897496e-06,
                3.726641061085547e-06,
                3.2887506334560605e-06,
                4.222833947774596e-06
            ],
            [
                0.9999756997505781,
                0.9999485577679497,
                0.9999646437577155,
                0.9996200154258397,
                0.9997388095669019,
                0.2942149783515162,
                0.9999339478317237,
                0.9999485577618125,
                0.9995694428595177,
                0.9997388095969205
            ],
            [
                7.889260703763482e-06,
                1.2098662604192665e-06,
                6.144176066672166e-06,
                7.889260704179641e-06,
                1.2098658277181688e-06,
                4.222832437639588e-06,
                1.3007133110746217e-05,
                1.0129992186387057e-05,
                2.2603240283888175e-06,
                1.994729483705484e-06
            ],
            [
                6.144173868670137e-06,
                1.2098653950551882e-06,
                3.7266406167827664e-06,
                4.222834451355964e-06,
                3.927860597945825e-07,
                1.3007130015299356e-05,
                8.939693106987645e-06,
                5.4222183234485234e-06,
                2.260324297853209e-06,
                5.422217676979575e-06
            ],
            [
                2.260324567268294e-06,
                5.715005151606823e-07,
                1.3709572068354007e-06,
                2.902312677104321e-06,
                5.422219616085833e-06,
                1.7603438428740716e-06,
                5.422220262333096e-06,
                8.31528424162821e-07,
                5.715005832853093e-07,
                2.2603240283888175e-06
            ],
            [
                0.9999251537995099,
                0.9994472213894782,
                0.9999687980923528,
                0.9999724643023409,
                0.999903897585194,
                0.9997965730028994,
                0.9997694932584088,
                0.9994472213248725,
                0.9993736659012061,
                0.9999832985821392
            ],
            [
                0.9996646499703007,
                0.9998204720980665,
                0.9996200155606861,
                0.8670357735451834,
                0.6224593312018546,
                0.9999251537460211,
                0.9999339478474549,
                0.9989677689344347,
                0.9998204719484429,
                0.9796676468799529
            ],
            [
                7.889260704050487e-06,
                2.9023109472244114e-06,
                6.144173136729416e-06,
                3.726639284017094e-06,
                9.422445938964242e-07,
                2.2603234895053587e-06,
                8.939698434966738e-06,
                2.2603251061664e-06,
                8.315283250305684e-07,
                4.222832941034507e-06
            ],
            [
                5.04347348075149e-07,
                4.222832940834793e-06,
                5.422217030362759e-06,
                4.222834451215781e-06,
                1.994729483666479e-06,
                6.962257908753841e-06,
                1.7603436329978976e-06,
                7.889260703462123e-06,
                1.9947301970813926e-06,
                9.422447062240614e-07
            ],
            [
                5.043476486833397e-07,
                2.3823690999236795e-07,
                1.3709573702248741e-06,
                2.6995777745711594e-07,
                5.422218969720291e-06,
                3.7266379512518984e-06,
                3.7266410609940346e-06,
                3.466327450765785e-07,
                4.785094494576774e-06,
                2.2603253755476615e-06
            ],
            [
                1.7603432133136672e-06,
                1.2098656835136636e-06,
                3.2887482812745586e-06,
                4.222835457794923e-06,
                1.9947294836483373e-06,
                5.422220262333096e-06,
                2.9023130228840374e-06,
                1.5534979397140412e-06,
                1.3709570434122812e-06,
                1.5534981249023245e-06
            ],
            [
                4.222834450820197e-06,
                2.4300252311252174e-05,
                1.0129994602057158e-05,
                6.962255419570695e-06,
                2.9023119850527192e-06,
                1.6701425819447213e-05,
                1.012998856312253e-05,
                1.0129995809597604e-05,
                3.535625491754561e-05,
                2.1444953520884646e-05
            ],
            [
                0.9991959140476753,
                0.9990889489881217,
                0.2942149597859341,
                0.9991959141599612,
                0.4378234991142019,
                0.9995121427681696,
                0.9964063972618454,
                0.998674977367119,
                0.9990889489787971,
                0.9989677690385125
            ],
            [
                6.962253759581752e-06,
                4.22283545795623e-06,
                4.222833947932061e-06,
                8.939699500636112e-06,
                6.962256249517824e-06,
                2.144495096387783e-05,
                4.2228324375512536e-06,
                5.043475885674441e-07,
                8.315279285088606e-07,
                1.0677033791291683e-06
            ],
            [
                0.9999339478474506,
                0.9998601778926528,
                0.9991959140476753,
                0.9995121428228072,
                0.9999646437535039,
                0.9999151889384766,
                0.9999251537906257,
                0.9998415637833618,
                0.9999038976079275,
                0.9998766054692795
            ],
            [
                2.2603242976733308e-06,
                1.7603436329554703e-06,
                1.0677027427525368e-06,
                3.7266392836984955e-06,
                9.422444815563743e-07,
                4.450851049959619e-07,
                5.715007195410849e-07,
                1.3709576971160984e-06,
                6.475946437996402e-07,
                6.962253759581752e-06
            ],
            [
                6.475947981975644e-07,
                3.927862939126708e-07,
                7.338208055579897e-07,
                8.315279285251204e-07,
                4.450851049959619e-07,
                4.450851580555361e-07,
                3.927861534406222e-07,
                4.22283545795623e-06,
                2.2603234895053587e-06,
                2.6995768091310296e-07
            ],
            [
                0.9995121428220125,
                0.9999251537906066,
                0.9999417087553165,
                0.9997694932850896,
                0.9998204720124606,
                0.9999339478553727,
                0.9991959139532072,
                0.9999810748517622,
                0.999954602147594,
                0.9999546021151283
            ],
            [
                0.9999646437450735,
                0.9968273164918505,
                0.9991959139554519,
                0.9997694932574094,
                0.9998601778926955,
                0.999860177975949,
                0.9999038975735949,
                0.9999038975735851,
                0.9999251537727409,
                0.9991959140448224
            ],
            [
                6.144172404218801e-06,
                1.0129989772274546e-05,
                2.2603248367358324e-06,
                2.5612825160271407e-06,
                1.067703379154416e-06,
                4.22283294098842e-06,
                1.2098658277335738e-06,
                6.475948753965404e-07,
                2.753568124458694e-05,
                6.475947210012481e-07
            ],
            [
                3.2887498494551953e-06,
                5.715004470243685e-07,
                2.1024344128660572e-07,
                3.927862470890063e-07,
                1.3709570433885908e-06,
                0.999891103064853,
                0.9993736659692295,
                0.999891103064765,
                3.466326211105621e-07,
                3.92786293909545e-07
            ],
            [
                1.0677032518700286e-06,
                6.1441767989541075e-06,
                6.962259569560613e-06,
                1.5534971989696065e-06,
                1.1478773595343877e-05,
                1.0677033791204289e-06,
                1.147876402018431e-05,
                4.222831934286977e-06,
                7.889263525405172e-06,
                8.93969630348202e-06
            ],
            [
                1.3709570433979422e-06,
                1.2098662604126641e-06,
                5.043472879540142e-07,
                9.42244818532859e-07,
                1.760343842833246e-06,
                1.3709568799592562e-06,
                1.2098653950480359e-06,
                1.5534984953298217e-06,
                2.5612831266946347e-06,
                1.7603425837791042e-06
            ],
            [
                3.2887494573561262e-06,
                3.4663257978780455e-07,
                3.7266388395620047e-06,
                5.715007195431641e-07,
                1.9947306726358406e-06,
                2.561282515886208e-06,
                1.2098652508144226e-06,
                4.78509506499309e-06,
                7.889259763857458e-06,
                1.3709568799760888e-06
            ],
            [
                0.999983298570192,
                0.9999910602994333,
                0.9999599363173692,
                0.9999756997621702,
                0.999933947878971,
                0.9999869928668839,
                0.9999938558232009,
                0.9999930377404304,
                0.9999869928746365,
                0.9998766054692149
            ],
            [
                3.927862939136532e-07,
                4.450850519360903e-07,
                5.043475885634304e-07,
                3.4663262110630603e-07,
                8.93970056529743e-06,
                5.422221554758815e-06,
                1.5534977545384963e-06,
                3.927862002641863e-07,
                9.422442569290178e-07,
                4.450851580555361e-07
            ],
            [
                5.7150044702099e-07,
                2.9023133689924295e-06,
                2.902312677007974e-06,
                5.043474683156057e-07,
                1.9947301970451086e-06,
                2.9023109471188266e-06,
                3.2887498494282754e-06,
                3.466327037539638e-07,
                4.450849988798682e-07,
                3.726637951170554e-06
            ],
            [
                0.9999938558275954,
                0.9999852610127573,
                0.9999038975392132,
                0.9999832985821387,
                0.9999546021259818,
                0.9999724643121888,
                0.9999885212305069,
                0.9999756997621647,
                0.9999687980849129,
                0.9999852610162713
            ],
            [
                3.2887478892055875e-06,
                3.288750633569722e-06,
                3.288748281220719e-06,
                7.338212429504183e-07,
                3.2887478892055875e-06,
                1.067703379154416e-06,
                2.2603248367656408e-06,
                1.9947292459265734e-06,
                7.889262585082652e-06,
                8.939700565834043e-06
            ],
            [
                6.962256246896338e-06,
                1.2098652507583041e-06,
                1.0677026154730804e-06,
                7.889266346746518e-06,
                2.5612812947380135e-06,
                1.370957860567974e-06,
                3.2887506334560605e-06,
                2.9023119850210436e-06,
                2.2603248367512505e-06,
                3.7266410607194972e-06
            ],
            [
                3.9278634073625165e-07,
                1.9947304348332037e-06,
                3.059021904580685e-07,
                2.5612812945889277e-06,
                3.7266406167827664e-06,
                1.0129987355988324e-05,
                4.222832941072913e-06,
                1.5534975693707442e-06,
                4.222835457906302e-06,
                1.8925143724239906e-05
            ],
            [
                5.043475885657239e-07,
                2.561283431916622e-06,
                5.043473480766399e-07,
                5.043473480766399e-07,
                3.726641061058432e-06,
                1.7603434231705793e-06,
                5.043475284447896e-07,
                3.288749457432399e-06,
                5.715005151574337e-07,
                5.422219616085833e-06
            ],
            [
                1.7603427936079236e-06,
                4.785095065093186e-06,
                3.2887482812745586e-06,
                3.2887502414436403e-06,
                4.785093353787868e-06,
                1.3007133114886634e-05,
                2.902312331125353e-06,
                7.889259763326495e-06,
                2.3823682479292225e-07,
                1.5534973841895917e-06
            ],
            [
                1.2098652508347793e-06,
                3.726641061027928e-06,
                5.715003789033962e-07,
                1.7603438428460541e-06,
                5.422217030555087e-06,
                7.889265406904397e-06,
                3.726638395493353e-06,
                1.8925157260443894e-05,
                1.8925141470949294e-05,
                6.9622587393661365e-06
            ],
            [
                0.9999756997592674,
                0.9999852610197852,
                0.9999485577679441,
                0.9999885212346113,
                0.999964643732433,
                0.9999417087483762,
                0.9999869928684351,
                0.9999852610110004,
                0.9999898700090201,
                0.9999852610215418
            ],
            [
                0.9999852610110026,
                0.999769493367761,
                0.9999646437619356,
                0.9999921107374143,
                0.9999646437450763,
                0.9999599362982671,
                0.9999546021313555,
                0.9999646437492907,
                0.9999810748472471,
                0.9998601779258601
            ],
            [
                7.889262585441413e-06,
                2.144495863482118e-05,
                1.8925150491445666e-05,
                3.535625492063251e-05,
                2.4300243627117176e-05,
                4.222833444467892e-06,
                5.422218969818919e-06,
                1.0677029973158649e-06,
                2.7535684528909006e-05,
                2.5612825159677387e-06
            ],
            [
                5.422218969601935e-06,
                2.5612831266608576e-06,
                4.450851580555361e-07,
                2.902313023039776e-06,
                1.0129994601301684e-05,
                1.5534975693347152e-06,
                2.9023109471689794e-06,
                5.422220262264056e-06,
                2.9023133690637e-06,
                2.9023123310290063e-06
            ],
            [
                5.043474683220276e-07,
                2.2603234895176927e-06,
                3.288748281220719e-06,
                8.315278294038928e-07,
                1.760344052714248e-06,
                6.144173868983067e-06,
                9.422447062202052e-07,
                1.5534984953298217e-06,
                6.475948754012522e-07,
                1.5534975693792215e-06
            ],
            [
                4.450849988811838e-07,
                6.475947981860793e-07,
                3.4663253846473677e-07,
                3.466327450756327e-07,
                6.475947982002148e-07,
                1.994729483694599e-06,
                2.9023112930949896e-06,
                1.3709575337016483e-06,
                2.699578740011634e-07,
                7.338208055613267e-07
            ],
            [
                0.9999417087066922,
                0.9989677689339546,
                0.9996200154249663,
                0.9999599363030484,
                0.9997694932022637,
                0.9933071478405137,
                0.9997694931747982,
                0.9998204720124606,
                0.9999038975965626,
                0.9995694429102457
            ],
            [
                2.2603242978007868e-06,
                2.5612812946890944e-06,
                1.9947299592570416e-06,
                3.288750633488963e-06,
                1.5534981249574276e-06,
                3.288750241500471e-06,
                7.889259762494174e-06,
                6.962256248871951e-06,
                6.144176066443055e-06,
                2.5612822106421996e-06
            ],
            [
                2.561283431986506e-06,
                6.475948754012522e-07,
                4.222831934202483e-06,
                2.561282821352716e-06,
                8.93969417214416e-06,
                3.466325797888292e-07,
                7.889262585541864e-06,
                1.9947306726594253e-06,
                3.927862939136532e-07,
                1.7603438428564603e-06
            ],
            [
                2.902312677060767e-06,
                1.3007125363057018e-05,
                3.059021904571643e-07,
                1.300712381094558e-05,
                2.2603251061849014e-06,
                7.338211554688417e-07,
                3.726641061027928e-06,
                6.144174601499446e-06,
                4.450851049917114e-07,
                3.927862002625787e-07
            ],
            [
                1.2098655392921197e-06,
                6.475949526003845e-07,
                3.288750241500471e-06,
                1.2098656835136636e-06,
                2.2603248367656408e-06,
                3.4663266243308805e-07,
                4.222833947820683e-06,
                1.9947299592824403e-06,
                3.0590215399183813e-07,
                4.22283545808297e-06
            ],
            [
                1.994730672668496e-06,
                3.726638839833152e-06,
                2.9023119851266288e-06,
                9.422443692527585e-07,
                4.222833444467892e-06,
                4.785093353687772e-06,
                6.144176799166453e-06,
                2.9023123309973302e-06,
                6.144173869312763e-06,
                4.2228324377164004e-06
            ],
            [
                0.9998911030518365,
                0.9999339478317142,
                0.99987660539765,
                0.9998601779764698,
                0.9997694932849822,
                0.9989677689317937,
                0.9999151889890027,
                0.9978172835090163,
                0.9999038975737075,
                0.9999038975738676
            ],
            [
                2.56128282131428e-06,
                3.288750241374845e-06,
                2.9023133690637e-06,
                6.475951069932288e-07,
                1.7603434231505666e-06,
                1.7603434231385591e-06,
                3.288748281220719e-06,
                3.927860597945825e-07,
                3.466327037548308e-07,
                1.994729721469003e-06
            ],
            [
                1.7603432132624344e-06,
                1.4449805540700758e-07,
                1.3709567165530083e-06,
                4.450852641717689e-07,
                1.3709573702647743e-06,
                4.450849988798682e-07,
                1.5534975693869924e-06,
                3.9278610661822475e-07,
                6.475951069932288e-07,
                3.927862470861484e-07
            ],
            [
                2.260324567302214e-06,
                3.288750633518874e-06,
                1.99473067264854e-06,
                9.422442569208767e-07,
                2.260324028404236e-06,
                9.422449308748773e-07,
                3.2887494573232236e-06,
                1.0677026154730804e-06,
                1.209865683518615e-06,
                5.4222170304318e-06
            ],
            [
                4.4508505193932864e-07,
                6.144172404129392e-06,
                2.561283126639892e-06,
                4.4508505193932864e-07,
                8.939697369151141e-06,
                6.475947209953583e-07,
                5.715007195410849e-07,
                2.561282210701601e-06,
                5.043474683220276e-07,
                7.338212429504183e-07
            ],
            [
                0.9999151889586393,
                0.9999151889586466,
                0.9999910603004989,
                0.9999832985761644,
                0.9998911030907974,
                0.9999038975506481,
                0.9999485577618268,
                0.9999921107355338,
                0.9994472214527333,
                0.9999724643154654
            ],
            [
                0.9994472213218496,
                0.99908894876883,
                0.9978172836575949,
                0.9998415637642217,
                0.9997965730264612,
                0.9982992776737534,
                0.9998415638399517,
                0.6224593312018546,
                0.9996200155146319,
                0.5926665999540698
            ],
            [
                5.043472278280699e-07,
                9.422444815679433e-07,
                1.553497384180408e-06,
                2.3823690999236795e-07,
                3.05902117523595e-07,
                9.422443692446175e-07,
                1.4449807263287805e-07,
                4.450851049941403e-07,
                2.699578096393206e-07,
                8.31528424162821e-07
            ],
            [
                1.2098652508287273e-06,
                2.699576809121209e-07,
                8.315282259089153e-07,
                1.9947306725669014e-06,
                3.4663253846718004e-07,
                8.315278294072958e-07,
                1.0677031245953668e-06,
                6.475946438042047e-07,
                1.9947301970587145e-06,
                4.4508494582314646e-07
            ],
            [
                4.7850944945245504e-06,
                3.4663262110945863e-07,
                1.5534973841592143e-06,
                3.726641061027928e-06,
                1.7603432132912532e-06,
                1.994729483666479e-06,
                8.315278294038928e-07,
                2.5612831265630198e-06,
                4.785094494576774e-06,
                4.7850933535006355e-06
            ],
            [
                1.2098655392921197e-06,
                1.5534975693707442e-06,
                6.1441746016670885e-06,
                1.994730434847717e-06,
                1.994729483694599e-06,
                1.209865250822125e-06,
                4.785092783415276e-06,
                4.222832437747125e-06,
                3.288748281220719e-06,
                8.315284241597959e-07
            ],
            [
                1.76034300345598e-06,
                7.889260703763482e-06,
                3.288750633488963e-06,
                2.699576809121209e-07,
                1.3709570434054234e-06,
                2.902311639126627e-06,
                4.450851049959619e-07,
                4.785096776303374e-06,
                3.466325797888292e-07,
                5.4222196154940574e-06
            ],
            [
                1.2098659719661556e-06,
                2.561283431986506e-06,
                4.450852111120808e-07,
                9.422443692527585e-07,
                4.450851580469341e-07,
                1.7603436330179102e-06,
                2.3823685318968256e-07,
                1.7603438428188364e-06,
                2.561281905376098e-06,
                1.2098659719601033e-06
            ],
            [
                6.475951069961737e-07,
                4.785093924103951e-06,
                1.3709575337078829e-06,
                2.9023133690425823e-06,
                2.5612819053586272e-06,
                4.539789027568648e-05,
                4.22283294098842e-06,
                1.1478770861650256e-05,
                1.0677032518578904e-06,
                6.1441760667392215e-06
            ],
            [
                1.067703379154416e-06,
                2.260324297853209e-06,
                3.288748673265808e-06,
                5.422218323399208e-06,
                1.5534971989992774e-06,
                2.561282210701601e-06,
                9.422444815765128e-07,
                3.120192252686752e-05,
                4.78509563555309e-06,
                1.3709575337016483e-06
            ],
            [
                1.7603438428564603e-06,
                1.3709576971316842e-06,
                4.785093353626844e-06,
                1.7603438428564603e-06,
                1.3709567165461505e-06,
                2.561281294616881e-06,
                3.288747889229516e-06,
                1.0677031245783732e-06,
                1.3709576971379186e-06,
                2.9023109471188266e-06
            ],
            [
                0.9999646437619387,
                0.9999810748495105,
                0.9999852610232997,
                0.9997040427952713,
                0.9999869928684351,
                0.9999251537906448,
                0.9996200154695835,
                0.9997694933674324,
                0.9998204720772121,
                0.999664649930913
            ],
            [
                1.1478769493728398e-05,
                1.5534981249164537e-06,
                4.785093353626844e-06,
                6.962259569313662e-06,
                9.42244256915735e-07,
                1.3709578605455302e-06,
                3.726638839833152e-06,
                6.144176799227922e-06,
                8.315280276505193e-07,
                1.0129989772412744e-05
            ],
            [
                3.726639283901856e-06,
                1.7603436330091044e-06,
                4.222833947820683e-06,
                2.561281600049467e-06,
                3.2887478892055875e-06,
                2.9023123311055552e-06,
                5.422220908876325e-06,
                1.553497199007048e-06,
                2.260323489490968e-06,
                1.9947290081177566e-06
            ],
            [
                3.726639727994339e-06,
                2.260325375664839e-06,
                4.450848927650143e-07,
                4.785093924156175e-06,
                3.2887482812506295e-06,
                3.4663270375278157e-07,
                2.5612834320214477e-06,
                3.7266406167827664e-06,
                1.7603436330179102e-06,
                2.5612812947240366e-06
            ],
            [
                5.043475284447896e-07,
                2.260325375650449e-06,
                1.9947304348595095e-06,
                3.46632497145457e-07,
                1.994729483666479e-06,
                5.71500515159253e-07,
                4.4508505193791187e-07,
                5.71500242637956e-07,
                3.466326624322211e-07,
                2.2603251062147097e-06
            ],
            [
                0.9999952149049348,
                0.999993855825398,
                0.9999885212332428,
                0.9999885212318748,
                0.9999898700078126,
                0.9999952149049348,
                0.9999921107392953,
                0.9999810748517594,
                0.9999646437366535,
                0.9999930377412605
            ],
            [
                9.422450431989127e-07,
                5.04347528438253e-07,
                1.7603425837702984e-06,
                2.5612822106654943e-06,
                2.2603248367512505e-06,
                4.785093924103951e-06,
                2.3823688159237777e-07,
                3.059023363231725e-07,
                3.2887486731641103e-06,
                2.26032402841657e-06
            ],
            [
                0.9993736657485816,
                0.9999485577740902,
                0.9999852610232993,
                0.9999970976890528,
                0.9997040427593981,
                0.9999724643089045,
                0.9999869928653333,
                0.9999756997476794,
                0.9999785550413632,
                0.9997965730754879
            ],
            [
                3.466325797888292e-07,
                1.8553910183607374e-07,
                4.450852111120808e-07,
                3.059023363231725e-07,
                1.8553903548231313e-07,
                3.4663249714325014e-07,
                1.8553907971813685e-07,
                9.42244930862237e-07,
                3.059022998569248e-07,
                2.6995790618350237e-07
            ],
            [
                3.0590229985449037e-07,
                5.715003107689177e-07,
                1.994730434816876e-06,
                6.475946437966953e-07,
                1.3007134665934505e-05,
                8.315283250305684e-07,
                1.2098661161789477e-06,
                1.5534977545243671e-06,
                1.1478772229050293e-05,
                7.338211554688417e-07
            ],
            [
                0.9999967112505427,
                0.9999930377420907,
                0.9999967112517189,
                0.9999957771645418,
                0.9999984465015046,
                0.9999957771665555,
                0.9999898700053986,
                0.9999984465016898,
                0.9999945777823229,
                0.9999962733611603
            ],
            [
                0.9980732650532541,
                0.991422514720926,
                0.9998601779259395,
                0.9989677689781306,
                0.99962001547311,
                0.9997694933698938,
                0.9996646498111788,
                0.9978172835921798,
                0.9999417087136521,
                0.9998601778759504
            ],
            [
                0.9999869928761871,
                0.9999869928761876,
                0.9999921107392953,
                0.9998415638212313,
                0.9997965730754463,
                0.9999885212346119,
                0.9999646437408619,
                0.9999885212318746,
                0.9999417087136402,
                0.9999930377454107
            ],
            [
                1.1478770860481005e-05,
                2.5612812946890944e-06,
                1.5534984953298217e-06,
                4.4508510499737865e-07,
                6.144176799099397e-06,
                4.785093353687772e-06,
                4.450848927650143e-07,
                1.7603425837606927e-06,
                1.5534984953298217e-06,
                3.2887490652810324e-06
            ],
            [
                4.7850944942634305e-06,
                1.1478766756444477e-05,
                6.962257909722651e-06,
                8.315284241560147e-07,
                3.7266383955882547e-06,
                4.222834451012227e-06,
                5.715005151550947e-07,
                6.96225956921868e-06,
                1.300713001414004e-05,
                3.7266392839832006e-06
            ],
            [
                3.288749457432399e-06,
                1.0129987356706945e-05,
                5.8291244687274174e-05,
                4.785092783415276e-06,
                1.3007123812317831e-05,
                3.288749457409966e-06,
                6.144172404587612e-06,
                8.93969736929749e-06,
                9.422449308566668e-07,
                2.144494329952946e-05
            ],
            [
                4.222834451292594e-06,
                9.422447062240614e-07,
                1.5534979397677313e-06,
                8.315279285351409e-07,
                3.2887478892055875e-06,
                1.3709568799879344e-06,
                4.22283394786293e-06,
                2.5612816000331606e-06,
                4.4508510499737865e-07,
                1.5534971989907999e-06
            ],
            [
                0.9999687980737504,
                0.999373665759184,
                0.9999485577986293,
                0.9999339478238761,
                0.9982992773298364,
                0.9999724643089074,
                0.999992110738355,
                0.9999646437324492,
                0.9999785550541436,
                0.9999417087414523
            ],
            [
                1.9947304348332037e-06,
                1.7603438428660665e-06,
                8.315279285251204e-07,
                6.475948753965404e-07,
                4.450851580566494e-07,
                1.7603432132912532e-06,
                1.5534979397677313e-06,
                2.5612812946681295e-06,
                1.067703379136937e-06,
                4.4508526417298334e-07
            ],
            [
                1.0677033791495609e-06,
                2.2603240283888175e-06,
                1.3709573702566696e-06,
                4.450849988811838e-07,
                3.2887498494282754e-06,
                1.3709568799592562e-06,
                3.9278624708775595e-07,
                9.42244818532859e-07,
                3.0590222692437275e-07,
                2.9023109471188266e-06
            ],
            [
                2.561282210590951e-06,
                1.3007123808153756e-05,
                8.939699498099386e-06,
                3.726637951079042e-06,
                6.144177531381426e-06,
                6.9622562492265485e-06,
                5.043472278312808e-07,
                1.0129992186774007e-05,
                4.2228349546493465e-06,
                1.994730434847717e-06
            ],
            [
                8.939695237813028e-06,
                1.1478769492893215e-05,
                6.605212888657352e-05,
                8.93969417199781e-06,
                1.0129993394664264e-05,
                7.484623615568462e-05,
                4.222834451292594e-06,
                2.260325375615501e-06,
                7.889265406294507e-06,
                7.889264466230069e-06
            ],
            [
                1.2098652508287273e-06,
                5.422218969384951e-06,
                4.222833947932061e-06,
                8.939695237666677e-06,
                3.288749065209246e-06,
                8.93970056424046e-06,
                6.144176798870286e-06,
                2.9023116390421582e-06,
                7.88925976359915e-06,
                5.422217676654099e-06
            ],
            [
                3.0590233632400716e-07,
                3.927862470890063e-07,
                3.466327037548308e-07,
                1.2098659719716573e-06,
                6.475947982022763e-07,
                4.450851580555361e-07,
                7.338207180864763e-07,
                3.2887498494551953e-06,
                7.338211554783522e-07,
                1.370957860567974e-06
            ],
            [
                4.450852111100568e-07,
                3.2887490652451393e-06,
                6.475947210012481e-07,
                4.785093923916815e-06,
                3.9278610661822475e-07,
                6.144173136645595e-06,
                5.715003788993679e-07,
                2.5612816000331606e-06,
                4.450848927621807e-07,
                3.2887478891487563e-06
            ],
            [
                2.6995768091310296e-07,
                6.962253759828703e-06,
                1.6373764721072816e-07,
                8.315277302819205e-07,
                1.760344052693435e-06,
                3.059021904580685e-07,
                2.902313023039776e-06,
                3.7266406168403854e-06,
                5.04347528446051e-07,
                1.5534981247907057e-06
            ],
            [
                2.561281905293402e-06,
                1.7603438428660665e-06,
                1.7603427936079236e-06,
                8.315277302788957e-07,
                1.3007128463069061e-05,
                3.9278638755992735e-07,
                8.315277302747361e-07,
                2.5612831266946347e-06,
                2.561282821176841e-06,
                1.5534977545603963e-06
            ],
            [
                6.962255419380732e-06,
                7.338208055664991e-07,
                2.2603251062147097e-06,
                1.6701419850845044e-05,
                4.785095065045315e-06,
                7.338212429537553e-07,
                3.726639728348526e-06,
                6.144177531459659e-06,
                4.450851580555361e-07,
                4.78509506499309e-06
            ],
            [
                5.043475284350422e-07,
                6.144174601410037e-06,
                8.939694171331106e-06,
                6.475948753991907e-07,
                1.0129989770441144e-05,
                9.422442569290178e-07,
                1.7603432132784448e-06,
                2.6995784182073116e-07,
                1.7603425837606927e-06,
                3.466327863961242e-07
            ]
        ]
    },
    {
        "q_id": "10530_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999982396563684,
                0.9999599363183175,
                0.9999970976880166,
                0.9999977396751644,
                0.999998790134461,
                0.9999962733607168,
                0.9999991684718734,
                0.9999970976876699,
                0.9999952149060781,
                0.9999982396563671
            ],
            [
                0.9999987901340285,
                0.9999987901343166,
                0.9999984465016906,
                0.99999893229713,
                0.9999987901337398,
                0.9999945777784617,
                0.9999977396748959,
                0.9999993524050476,
                0.9999989322968755,
                0.9999992661788445
            ],
            [
                0.9999967112517196,
                0.9999990577555188,
                0.9999982396567884,
                0.9999970976866321,
                0.9999989322973848,
                0.9999990577549571,
                0.9999994284996893,
                0.9999982396572068,
                0.9999986290432835,
                0.9999987901347496
            ],
            [
                0.9999994284992805,
                0.9999982396572068,
                0.9999974387168736,
                0.9999984465024322,
                0.9999990577557432,
                0.9999990577557432,
                0.9999986290432838,
                0.9999974387187065,
                0.9999993524053562,
                0.9999990577551817
            ],
            [
                0.9999974387180957,
                0.9999970976876693,
                0.9999970976883613,
                0.999998005269568,
                0.9999982396569977,
                0.9999980052695674,
                0.999995214907218,
                0.9999974387174841,
                0.9999980052705165,
                0.9999984465020624
            ],
            [
                0.0002959570989519838,
                6.605217613436184e-05,
                4.539788486936701e-05,
                5.144223816721283e-05,
                0.00026119024638224686,
                0.0001233945748712847,
                6.605216828583859e-05,
                0.0001584362355707695,
                0.00013982214030853883,
                0.000335350148750535
            ],
            [
                0.9999938558246758,
                0.9999995549150544,
                0.9999989322968755,
                0.9999990577551816,
                0.9999990577549571,
                0.9999885212346508,
                0.9999986290421398,
                0.9999993524052796,
                0.9999994284996211,
                0.9999990577556309
            ],
            [
                0.00033534998975537545,
                0.0001088968833081619,
                0.00015843619788790842,
                0.9995121428341889,
                7.484625401596508e-05,
                0.00013982209072422756,
                0.000335350110270109,
                0.0001398221406320077,
                0.000487857234470046,
                9.61024148807086e-05
            ],
            [
                8.481106153145476e-05,
                0.00017952800867054373,
                0.00026119021505648663,
                0.00010889694820079102,
                0.00015843616012668012,
                0.0009110511084111137,
                0.998299277510294,
                5.82912516391202e-05,
                7.484623616221906e-05,
                8.481103122976564e-05
            ],
            [
                4.539786863059458e-05,
                6.605216827622735e-05,
                0.00013982204065167932,
                7.484620938678116e-05,
                0.0001233946189090066,
                0.00013982204046248067,
                0.0003799844350688554,
                0.00012339453065583346,
                0.00013982212398861956,
                0.00029595709778089656
            ],
            [
                4.006370172712009e-05,
                0.0002034268999648577,
                0.00023050674210097294,
                6.605216829064421e-05,
                5.144221364340114e-05,
                7.484625402740036e-05,
                0.00013982207408084536,
                0.00013982205725436965,
                0.00029595716829585963,
                0.00015843619772885068
            ],
            [
                0.00017952798710581234,
                0.0001398220574171212,
                0.0003353499892968107,
                0.00020342692455362147,
                9.610238053958679e-05,
                0.00026119021249540453,
                0.00023050666035506282,
                0.0002034269976125743,
                8.481103121372288e-05,
                5.1442219778095686e-05
            ],
            [
                6.605212887119557e-05,
                5.8291244647832884e-05,
                9.610239196262121e-05,
                0.00012339461898800447,
                0.000108896896105261,
                0.0007096704384394178,
                0.00012339453045115723,
                0.0001584361979132655,
                9.61024034471839e-05,
                5.1442207526298114e-05
            ],
            [
                0.00017952800846419514,
                8.481102111357359e-05,
                0.00033535022807252245,
                2.144494329952946e-05,
                9.610242642470349e-05,
                3.535626757267291e-05,
                8.481102112899933e-05,
                0.0003353501871821819,
                8.481102111357359e-05,
                0.00012339458929198511
            ],
            [
                8.481105148374935e-05,
                0.00010889688315367454,
                0.00023050665981178928,
                0.9989677690559188,
                7.484623611811155e-05,
                0.00048785705778481487,
                5.144221975938208e-05,
                0.000261190402471529,
                7.484625398547097e-05,
                0.0001795280297886244
            ],
            [
                0.999998629043284,
                0.9999977396765113,
                0.9999962733602725,
                0.9999986290429571,
                0.9999982396567879,
                0.9999987901344615,
                0.9999982396559475,
                0.9999982396574169,
                0.9999974387184017,
                0.9999980052707546
            ],
            [
                0.9999980052695655,
                0.9999980052700415,
                0.9999974387177897,
                0.9999989322967484,
                0.9999987901337396,
                0.9999993524048931,
                0.9999986290421395,
                0.9999987901346049,
                0.9999962733589396,
                0.9999991684717744
            ],
            [
                0.0003353499852477818,
                0.00017952805118096838,
                0.0003353500292504841,
                7.48462093285157e-05,
                0.0003353500701017786,
                7.484623614969471e-05,
                0.00010889693514699898,
                0.00012339460423515042,
                9.610246074766323e-05,
                6.605215251046346e-05
            ],
            [
                0.9999984465016903,
                0.9999852610197967,
                0.9999977396762422,
                0.9999984465028017,
                0.9999987901346052,
                0.9999982396569971,
                0.9999992661786696,
                0.9999991684721709,
                0.9999991684722698,
                0.9999986290423036
            ],
            [
                0.0001233945306055621,
                3.120190393260949e-05,
                0.00017952798737746106,
                6.605216038829905e-05,
                0.00010889690928976842,
                3.535626755762428e-05,
                0.000335350188587147,
                0.9993736658689615,
                0.00010889696111673426,
                0.00013982209076288105
            ],
            [
                0.9999957771670606,
                0.9999986290424666,
                0.9999974387180949,
                0.999998932297003,
                0.9999984465026162,
                0.9999990577550697,
                0.9999974387180949,
                0.9999987901338846,
                0.9999982396572069,
                0.9999990577550693
            ],
            [
                0.9999993524052019,
                0.9999993524054336,
                0.9999989322972576,
                0.9999991684716754,
                0.9999991684718733,
                0.9999990577555187,
                0.9999984465026164,
                0.999998790133884,
                0.9999993524054334,
                0.9999980052702792
            ],
            [
                0.9999967112501513,
                0.9999957771660531,
                0.9999938558276082,
                0.9999982396559476,
                0.999998005270565,
                0.9999989322968755,
                0.9999970976869813,
                0.9999990577557432,
                0.9999982396569969,
                0.9999957771675633
            ],
            [
                0.9999984465028011,
                0.9999991684719726,
                0.999999168471576,
                0.9999980052705173,
                0.9999990577551816,
                0.9999993524053563,
                0.9999992661788446,
                0.9999989322967483,
                0.9999987901340283,
                0.9999987901337399
            ],
            [
                0.00017952796536085507,
                0.000108896948112852,
                0.00013982210738592129,
                7.484620933559467e-05,
                4.53978848619353e-05,
                6.605214466242357e-05,
                7.484626290608339e-05,
                0.0001584361786303955,
                5.1442225903808436e-05,
                7.484622717680992e-05
            ],
            [
                0.9999980052707542,
                0.9999982396565775,
                0.9999984465015048,
                0.9999982396574175,
                0.9999974387184001,
                0.999998239656997,
                0.9999986290426298,
                0.9999952149049357,
                0.9999974387165692,
                0.9999984465022456
            ],
            [
                0.9999986290424665,
                0.9999974387187058,
                0.9999869928668969,
                0.9999952149066538,
                0.999997097688017,
                0.9999980052707552,
                0.9999982396563675,
                0.9999974387171793,
                0.9999952149072309,
                0.9999967112521116
            ],
            [
                3.535626756559877e-05,
                0.00010889690926520891,
                0.9989677687331219,
                0.00026119021575565446,
                0.0003353501076358001,
                0.00023050663256763044,
                9.610246073717569e-05,
                0.00033535014829197006,
                0.00013982204069440157,
                5.8291272467944936e-05
            ],
            [
                0.00033535026671882595,
                0.00026119024581227305,
                0.0001795280298931047,
                5.829127941597736e-05,
                0.00013982205731540148,
                0.00012339460406817764,
                0.00015843629223915196,
                0.0001584362355707695,
                0.0003353502294482176,
                5.144219525429276e-05
            ],
            [
                4.0063706508432764e-05,
                0.000261190401985151,
                0.00015843617908451683,
                0.0002611903388092208,
                0.0001795279016696945,
                7.484623617964428e-05,
                0.00023050676911710389,
                4.5397863211726375e-05,
                5.144220132535887e-05,
                0.0005527785445331985
            ],
            [
                6.605216039839083e-05,
                0.00023050666003312292,
                0.00017952800856867548,
                0.00020342702185507076,
                5.144221364040696e-05,
                0.0001795279016696945,
                4.5397884876138115e-05,
                0.0001795279230620232,
                3.120192253242944e-05,
                8.481108177187105e-05
            ],
            [
                0.9999986290423032,
                0.9999992661787572,
                0.9999986290424666,
                0.9999977396762424,
                0.999996711249367,
                0.99999893229713,
                0.9999989322973847,
                0.9999989322968758,
                0.9999992661788448,
                0.9999982396569977
            ],
            [
                0.00020342707003818795,
                7.484620047815493e-05,
                0.00029595723963748977,
                0.0001398220906631957,
                7.484623613717036e-05,
                0.00023050674210097294,
                9.610242640512673e-05,
                0.00026119021533767365,
                0.00020342694909207423,
                9.610246075745164e-05
            ],
            [
                0.0002305068244974993,
                0.0001233946189413239,
                4.006367785146321e-05,
                0.0002959570986850448,
                0.0008040861013223494,
                0.0002959572049095704,
                0.00013982204061099143,
                0.0002611904333109337,
                0.9998766053974687,
                0.0007096702806300439
            ],
            [
                0.0001795280087358439,
                0.00015843629237054758,
                6.605212890195146e-05,
                0.00029595699308915545,
                6.605217614925922e-05,
                0.0001398221070929684,
                9.610239196262121e-05,
                NaN,
                0.0002611902459566664,
                0.00023050668700229468
            ],
            [
                0.9999984465018754,
                0.9999986290423031,
                0.9999910603068993,
                0.9999982396574167,
                0.9999994956524716,
                0.9999984465024312,
                0.9999982396559481,
                0.9999986290427935,
                0.9999986290429567,
                0.9999989322968755
            ],
            [
                0.9993736659897786,
                7.484621828887399e-05,
                0.0002959570980564465,
                6.605213679900668e-05,
                0.0001584361974821959,
                0.00010889687029240529,
                0.00033535002773819606,
                0.00012339457477433282,
                0.0002959570982372762,
                7.484620045365076e-05
            ],
            [
                0.999996711251328,
                0.9999984465026159,
                0.9999990577554064,
                0.9999970976883611,
                0.9999898700126476,
                0.9999938558275995,
                0.999998239656787,
                0.9999987901341724,
                0.9999967112497594,
                0.9999989322971302
            ],
            [
                0.9999977396762415,
                0.9999989322975122,
                0.9999974387171795,
                0.999998629042794,
                0.9999992661787571,
                0.9999991684721707,
                0.99999862904263,
                0.999998932297512,
                0.9999992661791945,
                0.9999987901344611
            ],
            [
                1.892514598427789e-05,
                9.61024378393533e-05,
                8.48110513985993e-05,
                0.0003353500697602941,
                0.0002611903093149658,
                0.00012339463374265566,
                0.0003353501473553268,
                9.610242638554995e-05,
                5.829127941597736e-05,
                0.00012339453072046804
            ],
            [
                3.120191508060445e-05,
                0.00013982210728420155,
                1.4738978457604563e-05,
                6.605212099288318e-05,
                6.605214462205646e-05,
                7.484623611103256e-05,
                1.8925155007633607e-05,
                4.006370171458602e-05,
                7.484620030608123e-05,
                0.00012339460423515042
            ],
            [
                0.9999957771675677,
                0.9999990577556308,
                0.999998239656999,
                0.9999970976880164,
                0.9999957771675633,
                0.9999989322968759,
                0.9999996072137998,
                0.9999991684719726,
                0.9999986290431204,
                0.999996711250151
            ],
            [
                9.610244928336962e-05,
                0.00015843623562378874,
                0.0003353501098213008,
                0.00015843621687110674,
                0.0007096702700213586,
                0.00023050668654621317,
                0.00020342689978431914,
                0.00043055708901525055,
                0.0007096705335461041,
                0.00010889692218114752
            ],
            [
                0.9999994956524716,
                0.9999990577554065,
                0.999998932297512,
                0.9999992661791944,
                0.9999990577550693,
                0.9999986290429568,
                0.9999991684721707,
                0.9999986290423037,
                0.9999990577550694,
                0.9999989322970029
            ],
            [
                0.9999962733620512,
                0.9999980052707543,
                0.9999993524050477,
                0.9999982396561579,
                0.9999984465024311,
                0.9999980052698036,
                0.9999977396765108,
                0.9999986290429568,
                0.9999977396746247,
                0.9999984465028012
            ],
            [
                8.481102112899933e-05,
                0.0005527787383183039,
                0.00017952790173760664,
                0.0006263341656149502,
                5.1442232055908106e-05,
                0.00015843623567450283,
                0.0002611904330981433,
                0.00023050671474278403,
                0.00010889692219382342,
                8.481108174040254e-05
            ],
            [
                0.9999967112513272,
                0.9999992661792821,
                0.9999982396572074,
                0.9999989322973846,
                0.9999993524051247,
                0.9999984465022455,
                0.999996273362049,
                0.999998446502246,
                0.9999984465028015,
                0.9999984465015049
            ],
            [
                0.9999986290427934,
                0.9999982396559493,
                0.999999168471675,
                0.9999980052698032,
                0.9999987901343166,
                0.9999974387174845,
                0.9999992661787572,
                0.9999992661790196,
                0.9999986290421397,
                0.9999974387184002
            ],
            [
                3.535623806128476e-05,
                7.484626292459767e-05,
                5.8291286375037224e-05,
                4.539785239182798e-05,
                9.610246078681677e-05,
                5.829125859054295e-05,
                1.8925152750692706e-05,
                7.484624507084954e-05,
                9.610243785962923e-05,
                0.0001233945306396748
            ],
            [
                0.9999987901343165,
                0.9999989322971303,
                0.9999991684715761,
                0.9999986290426311,
                0.9999982396574175,
                0.9999974387171789,
                0.9999990577550693,
                0.9999986290432843,
                0.9999977396757026,
                0.999995777168067
            ],
            [
                0.9999982396565771,
                0.9999990577550691,
                0.9999987901344612,
                0.9999992661791071,
                0.9999980052693279,
                0.999998446502616,
                0.9999989322967482,
                0.9999990577554064,
                0.9999982396563671,
                0.9999990577551815
            ],
            [
                0.9999957771675658,
                0.9999980052709921,
                0.9999986290423032,
                0.9999982396559477,
                0.9999832985841626,
                0.9999974387165697,
                0.9999974387168734,
                0.9999986290431202,
                0.9999987901344609,
                0.9999967112493674
            ],
            [
                0.9999982396565773,
                0.999999168472171,
                0.9999989322975118,
                0.9999957771680668,
                0.9999980052702797,
                0.9999980052705167,
                0.9999990577549569,
                0.9999977396751639,
                0.9999989322975122,
                0.9999984465016907
            ],
            [
                0.0001795279658832564,
                0.00013982205729505754,
                6.605212888657352e-05,
                6.605215252055522e-05,
                9.610244931343393e-05,
                0.0001088969610517703,
                9.610239200387222e-05,
                8.481105147696203e-05,
                0.00023050674153087092,
                8.481107163963022e-05
            ],
            [
                0.9999990577557433,
                0.9999993524050474,
                0.9999993524053562,
                0.9999991684721707,
                0.9999989322966212,
                0.9999982396561574,
                0.9999992661792821,
                0.9999987901346054,
                0.9999987901347493,
                0.9999989322972574
            ],
            [
                0.9999962733593872,
                0.9999977396765108,
                0.9999986290423031,
                0.9999982396574164,
                0.9999982396574165,
                0.999998629042957,
                0.9999989322968758,
                0.9999980052695664,
                0.9999991684716756,
                0.9999982396572065
            ],
            [
                0.0001233945894966614,
                0.00023050679752160443,
                6.605214464272057e-05,
                0.00033535018753342324,
                9.610244923163104e-05,
                7.4846236168209e-05,
                8.48110109893614e-05,
                NaN,
                8.481101100478711e-05,
                9.610246071689974e-05
            ],
            [
                0.999998446501505,
                0.9999977396754337,
                0.9999977396765115,
                0.9999980052695658,
                0.9999970976866337,
                0.999999266178932,
                0.9999984465022456,
                0.9999974387171797,
                0.9999993524049703,
                0.9999977396751648
            ],
            [
                0.9999986290432837,
                0.9999994284995531,
                0.9999989322970028,
                0.9999984465015052,
                0.9999990577551816,
                0.9999921107355476,
                0.9999987901340284,
                0.9999989322971302,
                0.9999986290427937,
                0.99999862904263
            ],
            [
                0.9999986290432838,
                0.9999984465028011,
                0.9999984465015052,
                0.9999980052702792,
                0.9999986290423033,
                0.9999991684720715,
                0.9999980052707546,
                0.999998239656787,
                0.9999986290423033,
                0.9999987901341726
            ],
            [
                0.00012339458956129603,
                4.539787403938935e-05,
                0.00017952796611572504,
                5.8291286375037224e-05,
                0.00020342694905063912,
                0.00012339461898800447,
                7.484624505179073e-05,
                0.0003353501091480885,
                0.00013982202375603826,
                0.0005527786069843484
            ],
            [
                0.00015843621676967857,
                7.484624508881928e-05,
                8.481107167850307e-05,
                0.0003799844847270217,
                0.00020342697337304036,
                2.4300240731964193e-05,
                2.7535704224732304e-05,
                8.481103120631853e-05,
                7.484625398547097e-05,
                2.430023783150746e-05
            ],
            [
                0.9999980052700409,
                0.9999992661791947,
                0.9999984465024307,
                0.9999986290427935,
                0.999999168471675,
                0.9999990577551816,
                0.9999989322970028,
                0.9999992661791073,
                0.9999970976866331,
                0.9999990577554064
            ],
            [
                0.9999984465018752,
                0.9999994284992805,
                0.9999967112517201,
                0.9999990577551816,
                0.9999980052702787,
                0.9999987901338844,
                0.9999977396754337,
                0.9999980052693277,
                0.9999986290427936,
                0.9999987901338843
            ],
            [
                0.9999967112521141,
                0.999998005270993,
                0.999998446501505,
                0.9999962733607188,
                0.9999989322967486,
                0.9999984465028018,
                0.999999554914789,
                0.9999974387168744,
                0.9999990577557446,
                0.9999977396762413
            ],
            [
                0.999997438717793,
                0.9999832985763039,
                0.9999986290427941,
                0.9999994284996211,
                0.9999991684722704,
                0.999998932297003,
                0.9999977396754328,
                0.9999974387187099,
                0.9999977396746257,
                0.9999980052709926
            ],
            [
                0.0002959570627946657,
                0.00023050666030140617,
                0.0005527785459159993,
                0.00017952803029535388,
                0.00015843619770349368,
                0.00017952792332844784,
                3.535625492783527e-05,
                0.00010889696107712208,
                8.481103123717e-05,
                7.484620045365076e-05
            ],
            [
                8.481106154688048e-05,
                7.484620047216503e-05,
                0.00023050676911710389,
                0.00023050668765958865,
                7.484625402740036e-05,
                9.610246082457198e-05,
                8.481107163963022e-05,
                2.1444948410928083e-05,
                7.48462361741989e-05,
                9.6102449293158e-05
            ],
            [
                0.9999987901344618,
                0.9999990577554063,
                0.9999986290429571,
                0.9999957771665572,
                0.9999990577556307,
                0.9999989322972574,
                0.9999994956524716,
                0.9999986290423034,
                0.9999986290429573,
                0.9999990577549569
            ],
            [
                0.9999987901346052,
                0.9999989322967482,
                0.9999921107374189,
                0.9999982396572067,
                0.9999977396757028,
                0.9999977396759725,
                0.9999992661786696,
                0.9999986290423031,
                0.9999992661786696,
                0.9999967112513316
            ],
            [
                0.9999986290421402,
                0.9999984465020612,
                0.9999987901337398,
                0.9999986290429568,
                0.9999991684717744,
                0.9999980052698036,
                0.9999977396754344,
                0.9999987901337398,
                0.999998005269803,
                0.9999987901341724
            ],
            [
                0.9999987901343167,
                0.9999996533674204,
                0.9999977396746247,
                0.9999987901347493,
                0.999999168471576,
                0.9999991684717742,
                0.9999992661789321,
                0.9999984465016906,
                0.9999991684722699,
                0.9999984465026159
            ],
            [
                0.9999962733611626,
                0.9999974387171798,
                0.9999974387184027,
                0.9999957771650554,
                0.9999980052705167,
                0.9999982396572066,
                0.9999987901347498,
                0.9999974387177893,
                0.9999977396748951,
                0.9999921107393043
            ],
            [
                0.0001088969092026217,
                0.00023050676911710389,
                0.00037998444017617317,
                0.0001795280300628852,
                0.00012339460423515042,
                0.00010889686971089912,
                0.00029595713143243624,
                4.5397874048967995e-05,
                9.610240352619009e-05,
                6.605215254506384e-05
            ],
            [
                0.999998005270517,
                0.999998239656788,
                0.9999986290424664,
                0.9999987901341724,
                0.9999992661791944,
                0.9999987901340284,
                0.9999980052709921,
                0.9999987901347492,
                0.9999987901343167,
                0.9999987901344612
            ],
            [
                0.0006263340208602529,
                0.00020342690000925244,
                5.829127247176183e-05,
                0.00020342692468384608,
                0.00020342707037558817,
                0.000123394633678021,
                0.0001233946187725557,
                0.00023050671512508768,
                0.9996200154314223,
                4.539785781961294e-05
            ],
            [
                5.8291272448012225e-05,
                5.829125857188255e-05,
                5.829129331543752e-05,
                0.00023050682415543802,
                7.4846254021955e-05,
                8.481108169906156e-05,
                0.0001398220237784166,
                9.610239203393652e-05,
                4.006369217615605e-05,
                8.481103122976564e-05
            ],
            [
                0.9999991684715759,
                0.9999974387174858,
                0.9999962733593871,
                0.9999984465018759,
                0.9999974387187058,
                0.9999977396754336,
                0.9999984465018752,
                0.9999986290423032,
                0.9999982396574166,
                0.9999977396759737
            ],
            [
                0.9999980052707546,
                0.9999984465015048,
                0.9999991684717743,
                0.9999957771665564,
                0.999999266179107,
                0.9999995549147358,
                0.9999991684716751,
                0.9999987901337399,
                0.9999984465018752,
                0.9999992661791071
            ],
            [
                0.9999977396759725,
                0.9999977396757026,
                0.99999893229713,
                0.9999984465015057,
                0.99999844650169,
                0.9999987901337398,
                0.999996711252111,
                0.9999989322970029,
                0.9999982396565771,
                0.9999987901347495
            ],
            [
                0.00013982204069440157,
                0.00037998443859533674,
                9.610241494153637e-05,
                7.48462361741989e-05,
                0.0002034270457128155,
                0.00017952800832575876,
                0.00010889687029240529,
                3.120190392795564e-05,
                0.0005527786086887311,
                0.0001398221073676117
            ],
            [
                0.9999885212264278,
                0.999998790134461,
                0.999998239656577,
                0.9999967112521124,
                0.999998005270993,
                0.9999982396567869,
                0.9999977396754334,
                0.9999982396567868,
                0.9999974387171793,
                0.999998629042957
            ],
            [
                0.9999986290431201,
                0.9999984465018752,
                0.9999980052702788,
                0.9999957771665564,
                0.9999967112501514,
                0.9999990577549573,
                0.999998629042303,
                0.9999992661788446,
                0.999996711249367,
                0.9999938558254031
            ],
            [
                0.00013982202403068142,
                0.00015843619780953218,
                5.8291279387562654e-05,
                8.481105135664132e-05,
                0.0002034269730770754,
                0.00012339458929198511,
                0.0002611902778524043,
                7.484624508282935e-05,
                0.00017952798664348712,
                0.0003353500685114367
            ],
            [
                0.999999057754957,
                0.9999992661791951,
                0.9999986290421395,
                0.9999986290421395,
                0.9999974387180954,
                0.9999980052702789,
                0.9999989322973847,
                0.9999991684719726,
                0.9999982396559477,
                0.9999991684716751
            ],
            [
                0.000123394633678021,
                0.0001398220739587817,
                5.1442219775101506e-05,
                0.00017952800774066911,
                7.484624507683945e-05,
                0.00033535002715279417,
                0.00010889693501231766,
                9.610241487022105e-05,
                4.5397868633071815e-05,
                0.0005527786054407566
            ],
            [
                8.481107163160885e-05,
                0.00015843623567450283,
                0.0003799845717725408,
                0.0001088969092026217,
                7.484620940529543e-05,
                6.605212892117389e-05,
                5.144223202914764e-05,
                0.0005527786735839091,
                3.120192624960245e-05,
                8.481105142266346e-05
            ],
            [
                0.9999980052702796,
                0.999996711250544,
                0.9999974387180955,
                0.9999980052705173,
                0.9999970976869778,
                0.9999989322967484,
                0.9999938558261332,
                0.9999977396757032,
                0.9999984465022481,
                0.9999989322967483
            ],
            [
                0.00015843629223915196,
                0.00017952798724424872,
                4.539785781036459e-05,
                0.0001584362730899713,
                3.120190021339598e-05,
                9.610242638554995e-05,
                4.006367785525258e-05,
                2.7535684532815695e-05,
                8.481101094863749e-05,
                8.481107165567298e-05
            ],
            [
                0.9999938558276038,
                0.999997438716874,
                0.9999987901346051,
                0.9999977396754329,
                0.9999980052695654,
                0.9999977396765112,
                0.999998932297512,
                0.99999844650169,
                0.999997438717485,
                0.9999980052693277
            ],
            [
                0.9999984465022456,
                0.9999977396751637,
                0.9999980052702804,
                0.9999982396563675,
                0.9999992661791945,
                0.999998790133884,
                0.9999986290423031,
                0.9999982396572065,
                0.9999986290421398,
                0.9999970976883618
            ],
            [
                0.9999982396561576,
                0.9999977396757025,
                0.9999990577551816,
                0.9999990577551816,
                0.9999989322970028,
                0.9999986290426311,
                0.9999992661789321,
                0.99999926617867,
                0.9999984465028015,
                0.9999989322968754
            ],
            [
                0.9999989322972574,
                0.9999989322972576,
                0.9999987901337399,
                0.9999974387184002,
                0.9999984465018757,
                0.9999984465026163,
                0.999998790134317,
                0.9999986290421395,
                0.9999986290426303,
                0.9999991684721707
            ],
            [
                0.9999993524050474,
                0.9999992661787571,
                0.9999980052702787,
                0.9999989322971301,
                0.9999989322975122,
                0.999998005269568,
                0.9999984465028011,
                0.9999989322968758,
                0.9999991684721706,
                0.9999990577549569
            ],
            [
                0.00033535010892368446,
                0.00020342692388770046,
                0.00020342692424877762,
                5.144220138599094e-05,
                0.00012339453052117807,
                0.00017952805148918532,
                0.0002611904021903417,
                0.00023050676864760805,
                0.00026119043324253675,
                0.0001795280298225805
            ],
            [
                0.00023050668666023356,
                7.484624507084954e-05,
                0.00010889690928976842,
                0.00015843619780953218,
                5.829126552373023e-05,
                0.0004878570589769078,
                5.1442195260093975e-05,
                5.829126553475683e-05,
                0.00013982209042924033,
                0.00029595716847668937
            ],
            [
                0.9999986290429571,
                0.9999989322968755,
                0.9999984465015047,
                0.9999980052693275,
                0.9999982396567868,
                0.9999980052707547,
                0.9999987901337396,
                0.9999986290432843,
                0.9999994284996212,
                0.9999993524049703
            ],
            [
                0.9993736657642485,
                5.829129330780371e-05,
                5.14422075117015e-05,
                0.0003353501896116007,
                6.605216043154954e-05,
                0.0002611904016279672,
                7.484622725903504e-05,
                5.829124465589078e-05,
                0.00020342692459801625,
                8.481103123717e-05
            ],
            [
                0.9999987901337397,
                0.9999986290424664,
                0.9999967112517214,
                0.9999986290427934,
                0.9999982396563672,
                0.9999977396762422,
                0.9999982396563672,
                0.9999967112509365,
                0.9999991684720716,
                0.9999984465016916
            ],
            [
                0.9999990577552939,
                0.999998932297003,
                0.9999990577551816,
                0.9999990577550691,
                0.99999862904214,
                0.9999945777823277,
                0.9999980052700412,
                0.999992110739329,
                0.9999987901343168,
                0.9999982396565772
            ],
            [
                0.9999989322967482,
                0.9999990577557433,
                0.9999977396754333,
                0.9999994284996212,
                0.9999992661789321,
                0.9999991684718733,
                0.9999994284997575,
                0.9999992661786696,
                0.9999986290424668,
                0.9999986290421395
            ],
            [
                0.9999970976890561,
                0.9999987901340291,
                0.9999977396746248,
                0.9999987901337396,
                0.9999952149038093,
                0.9999993524052019,
                0.999998239656577,
                0.9999980052705167,
                0.9999910603047703,
                0.9999974387187066
            ],
            [
                0.9999993524052794,
                0.999999057755631,
                0.9999986290427934,
                0.9999982396574164,
                0.9999984465018752,
                0.9999945777791128,
                0.9999987901344609,
                0.9999989322970029,
                0.9999993524053563,
                0.9999970976869805
            ],
            [
                0.0002611903079774269,
                5.14422075023447e-05,
                0.00023050674264424667,
                0.0001795279229261989,
                0.0002034269243375671,
                6.605212890195146e-05,
                0.00020342704566842073,
                8.481105144611057e-05,
                7.484626289355904e-05,
                9.610243786941761e-05
            ],
            [
                0.9999984465020617,
                0.9999990577556309,
                0.9999980052700413,
                0.999998932297385,
                0.9999986290427932,
                0.9999832985821846,
                0.9999992661790197,
                0.9999938558254008,
                0.9999986290432838,
                0.9999986290432842
            ],
            [
                0.0001398221240903393,
                0.00013982202390658337,
                8.481105143068482e-05,
                0.00017952792278776256,
                0.00012339457475817416,
                8.481105143068482e-05,
                0.00012339463374265566,
                0.00048785717741986804,
                6.605213674902834e-05,
                0.9990889485931421
            ],
            [
                5.829128637164443e-05,
                7.484626288702458e-05,
                9.61024034471839e-05,
                0.00010889689622409743,
                0.0004878571158851561,
                0.000261190339880772,
                2.4300243627117176e-05,
                8.481106152343337e-05,
                0.0001584361786580577,
                7.484620937425679e-05
            ],
            [
                0.0003353500673406329,
                6.605212103421139e-05,
                3.1201903929204235e-05,
                6.605212101402784e-05,
                0.00017952805152314142,
                0.00023050676962013515,
                8.481105145413196e-05,
                7.484620044711632e-05,
                8.481102109753085e-05,
                8.481106147345398e-05
            ],
            [
                0.9999990577556309,
                0.9999938558232058,
                0.9999938558232019,
                0.9999967112501515,
                0.999997438716874,
                0.999998239656577,
                0.9999989322967482,
                0.999998790133884,
                0.9999990577550694,
                0.9999977396759723
            ],
            [
                0.9999992661790196,
                0.9999987901347508,
                0.9999987901338839,
                0.9999987901347498,
                0.9999991684716751,
                0.9999991684719725,
                0.9999986290423031,
                0.999998446502246,
                0.9999990577556308,
                0.9999992661788446
            ],
            [
                0.9999990577549569,
                0.9999977396754492,
                0.9999984465028013,
                0.9999989322975119,
                0.9999986290421397,
                0.9999984465018755,
                0.9999996533672136,
                0.9999974387177901,
                0.9999984465024307,
                0.9999986290427937
            ],
            [
                0.999998932297385,
                0.9999987901344608,
                0.9999990577554062,
                0.9999938558261374,
                0.9999982396559474,
                0.9999993524051246,
                0.9999984465020613,
                0.9999930377429364,
                0.9999987901347505,
                0.9999992661790196
            ],
            [
                0.9999994284996211,
                0.9999991684716752,
                0.9999987901344611,
                0.9999991684718745,
                0.9999992661791071,
                0.9999986290424665,
                0.9999970976890534,
                0.9999992661786697,
                0.9999992661789321,
                0.9999986290427937
            ],
            [
                0.9999984465018754,
                0.9999987901337397,
                0.9999980052695656,
                0.999998446502062,
                0.999998629042794,
                0.999998239657207,
                0.9999989322975119,
                0.9999987901341724,
                0.9999986290423032,
                0.9999984465020606
            ],
            [
                0.9999991684722699,
                0.9999962733598277,
                0.9999970976883612,
                0.9999982396569971,
                0.9999990577550693,
                0.9999974387184009,
                0.999998629043284,
                0.9999986290426299,
                0.9999986290429567,
                0.9999986290432835
            ],
            [
                0.9999938558261399,
                0.9999930377437544,
                0.9999962733620535,
                0.9999898700054276,
                0.9999938558247133,
                0.9999970976883626,
                0.9999938558239384,
                0.9999970976883615,
                0.999994577778451,
                0.9999970976869785
            ],
            [
                4.539789028526512e-05,
                0.0003799844825271162,
                0.00010889694815087969,
                0.00017952790170365057,
                4.539786322642463e-05,
                5.1442195242316055e-05,
                0.00023050676994878225,
                7.484626290009348e-05,
                7.48462271838889e-05,
                9.610242642470349e-05
            ],
            [
                0.0002034269000980419,
                0.0006263342485036984,
                5.829125155557251e-05,
                0.00010889688319328668,
                0.00015843625434420038,
                0.00020342706955280511,
                4.006367784548767e-05,
                0.0003353500669796351,
                0.0007096702859550261,
                4.5397884859458064e-05
            ],
            [
                0.9999986290431202,
                0.9999980052709933,
                0.9999977396751638,
                0.9999957771645446,
                0.9999984465016907,
                0.9999982396567869,
                0.9999967112521155,
                0.9999952149043666,
                0.9999991684715761,
                0.9999885212318917
            ],
            [
                0.9999991684720718,
                0.9999980052695706,
                0.9999990577556308,
                0.9999990577555187,
                0.999998629042303,
                0.9999974387171804,
                0.9999945777830221,
                0.9999986290429568,
                0.9999989322966213,
                0.9999984465015049
            ],
            [
                0.9999977396754332,
                0.9999989322968758,
                0.9999986290431204,
                0.9999982396559474,
                0.9999991684722698,
                0.999997438716569,
                0.9999982396567874,
                0.9999970976866314,
                0.9999974387174841,
                0.9999993524049703
            ],
            [
                0.9999986290431205,
                0.9999986290426301,
                0.9999977396746254,
                0.9999989322973847,
                0.9999869928684456,
                0.9999992661789321,
                0.9999986290432837,
                0.9999982396572067,
                0.9999991684717745,
                0.9999982396574177
            ],
            [
                0.00033535010833828246,
                7.484625401596508e-05,
                9.610244928336962e-05,
                8.481106154688048e-05,
                9.610246071689974e-05,
                4.5397857812676685e-05,
                8.481106152343337e-05,
                0.0001584362166913023,
                0.00026119033945519134,
                8.481107163160885e-05
            ],
            [
                0.9999970976866316,
                0.9999945777823291,
                0.9999977396754335,
                0.9999980052693277,
                0.9999962733620498,
                0.9999962733602756,
                0.9999970976883621,
                0.9999962733611613,
                0.9999974387177899,
                0.9999987901343167
            ],
            [
                4.006370170554982e-05,
                4.5397879450662006e-05,
                4.5397863219323224e-05,
                0.00010889688295561384,
                0.0001088969608251887,
                5.829125847900465e-05,
                2.7535684528909006e-05,
                9.610242631353545e-05,
                8.48110413144904e-05,
                2.4300237828943813e-05
            ],
            [
                NaN,
                0.9994472214743114,
                0.0002959570623382862,
                0.0001233945308156245,
                0.0001088968962494492,
                9.61024035073125e-05,
                2.7535704228438656e-05,
                8.481103124457434e-05,
                6.60521366932833e-05,
                0.00023050674232230666
            ],
            [
                4.0063692178050736e-05,
                2.1444958635523312e-05,
                5.8291272482788436e-05,
                0.00023050679746794775,
                0.00012339456018127515,
                0.00015843621676967857,
                0.0001233946188587352,
                0.00026119043317413985,
                5.144223818199658e-05,
                6.605217615406483e-05
            ],
            [
                3.120191509059319e-05,
                0.00023050677005609558,
                8.481104129844762e-05,
                4.5397879448184774e-05,
                9.610239202344896e-05,
                0.00037998452852614883,
                0.00043055698421469533,
                5.144222591578515e-05,
                0.0002959572039193124,
                9.61024264149151e-05
            ]
        ]
    },
    {
        "q_id": "10567_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9995694428740095,
                0.9995121428327981,
                0.9996200154879455,
                0.9993736658345672,
                0.9998601779786344,
                0.9999339478240247,
                0.9998766053833227,
                0.9999724642958409,
                0.9997694932099634,
                0.99973880978964
            ],
            [
                0.9999339478477197,
                0.9999151889386919,
                0.9997040429806131,
                0.9998204720999733,
                0.9998911031170745,
                0.9998766054568177,
                0.00010889688270684959,
                0.9998415638429023,
                0.9996646497748154,
                5.144220747202866e-05
            ],
            [
                1.3007133111929193e-05,
                0.9980732650286284,
                0.9984988175537579,
                0.9995121429324514,
                0.9940889319235975,
                0.9986749778472882,
                4.785093352360413e-06,
                0.9924227577446619,
                0.998498817601047,
                0.9902915233304931
            ],
            [
                7.48461998230769e-05,
                NaN,
                0.000335350013532445,
                0.00020342689401300402,
                4.539789019426799e-05,
                0.00026119034301942906,
                NaN,
                0.00012339457296635915,
                0.000295956982644094,
                0.0007096705400268989
            ],
            [
                6.605217605747206e-05,
                0.9996200155260293,
                0.0001584362332978567,
                NaN,
                7.484622709894109e-05,
                0.9997388096399118,
                0.9902915224977765,
                0.0001398220889766825,
                0.00020342704315567711,
                0.9991959142547565
            ],
            [
                1.0129994596087078e-05,
                0.9902915223455594,
                0.9859363728405324,
                0.9989677688005862,
                0.992422758290926,
                0.9980732657579944,
                0.9964063982581097,
                0.9998601778634673,
                0.9890130548090553,
                0.9947798742895148
            ],
            [
                0.9971990724690558,
                0.9924227588897153,
                0.9914225147367658,
                0.9991959139402061,
                0.9626731083722525,
                0.9953904270557212,
                6.605212094194375e-05,
                0.9995121428578888,
                4.7850927818311495e-06,
                4.539787398158721e-05
            ],
            [
                0.9996646499229417,
                0.9997965729596737,
                0.9984988177743237,
                0.99976949321437,
                0.9994472214800678,
                0.9997040430178209,
                0.9999038975862303,
                0.9998911031048534,
                0.9997388096743686,
                0.9996646499344839
            ],
            [
                0.00017952802743781751,
                0.0001398221049670257,
                0.00015843615744344562,
                0.0002959571895648773,
                0.0002959571230798275,
                0.9914225160356269,
                3.53562675293277e-05,
                0.00033535020828592897,
                0.00026119032986442837,
                0.0002959569840132323
            ],
            [
                0.9996200154095891,
                0.0001584362892124425,
                0.9975273769461611,
                0.9989677691116189,
                0.9997388095721609,
                0.2942149659744614,
                0.9933071496236615,
                0.00012339460813118205,
                0.9982992774600901,
                0.1480471999111614
            ],
            [
                0.9989677690163044,
                7.889263518043432e-06,
                0.9978172835369066,
                0.0001584361454657087,
                0.997527376694627,
                0.9986749777882875,
                0.9995121429921128,
                0.9947798750367142,
                0.9964063965723804,
                0.9992903296417656
            ],
            [
                0.9968273164947961,
                0.00015843623413924938,
                0.00020342697111186785,
                0.9997388097115385,
                0.0001088968943385593,
                0.9992903296429214,
                0.00012339463242662258,
                5.829127234919691e-05,
                0.00015843621548799566,
                0.0002611903570711897
            ],
            [
                8.48110408794848e-05,
                0.9999485577865408,
                0.9999938558239359,
                0.9999832985801821,
                0.00015843628993627095,
                0.9999251537475778,
                1.1478769474644515e-05,
                0.9995121429226876,
                0.9999251537821657,
                4.0063701690975316e-05
            ],
            [
                0.9971990731687949,
                0.9995694428386126,
                0.995929862236914,
                0.9875683491811159,
                2.430024651705481e-05,
                0.9975273766406447,
                0.9859363747259137,
                0.8519528057272543,
                0.9988304898076991,
                2.4300252288444548e-05
            ],
            [
                0.00026119038829057174,
                0.00013982205664201698,
                0.00012339453951077208,
                7.484622606649854e-05,
                0.0002034269463573581,
                0.00020342706493870882,
                7.484620035127781e-05,
                8.481105084450702e-05,
                6.605212099816935e-05,
                0.00043055711213726
            ],
            [
                0.9978172830901567,
                0.997817283194618,
                7.48462180748709e-05,
                0.995929861987752,
                0.9989677688435619,
                0.9968273176228906,
                0.9986749772814679,
                3.5356242257020764e-05,
                0.9820137901366065,
                0.9971990725295351
            ],
            [
                2.144494072867628e-05,
                0.9997040427947115,
                0.999664649811647,
                0.9992903297180903,
                0.9998601778652331,
                0.0001398221051236741,
                0.9997040429743442,
                5.144223804819424e-05,
                0.9991959139573227,
                0.999088948701967
            ],
            [
                0.9999151889909493,
                4.539788464294767e-05,
                0.0002305067387273103,
                5.8291279235734797e-05,
                0.9999251538006517,
                7.889263517325914e-06,
                0.9984988175633553,
                0.9986749778810248,
                0.9997694933413888,
                0.9998766054401382
            ],
            [
                0.0003799844818306636,
                0.0003353502046954624,
                0.0002611902342988018,
                NaN,
                NaN,
                5.829129303086624e-05,
                1.670142175112477e-05,
                0.0010322308927026684,
                NaN,
                0.0004878571454604179
            ],
            [
                0.9998415637648419,
                0.999664649779606,
                0.9998415637087682,
                0.9995694429665227,
                0.9997694931755629,
                0.9992903295229235,
                0.9999687980849412,
                0.9994472212929716,
                0.999704042871168,
                0.9999151889186434
            ],
            [
                1.1478766743561818e-05,
                0.9968273168305736,
                0.9399133447766225,
                0.9924227583749666,
                0.9982992774553463,
                0.9890130591100407,
                0.993307148896162,
                0.939913343093499,
                0.990291521781461,
                0.9740426420957883
            ],
            [
                0.9999339478556452,
                0.0002034269929422463,
                0.999860177893674,
                8.481102090440075e-05,
                0.9999038975507998,
                0.9988304895282402,
                0.9999251537641003,
                0.9998766054404381,
                0.0003353500602182431,
                0.982013787504658
            ],
            [
                1.670141785237998e-05,
                0.9999251537729474,
                3.1201926224857616e-05,
                0.9770226305081272,
                1.6701421752826004e-05,
                2.7535691075316245e-05,
                1.6701427765478707e-05,
                0.9998766053881775,
                7.484625352642594e-05,
                0.9995694429929013
            ],
            [
                0.9997388097876643,
                0.9998415637667021,
                5.82912653227068e-05,
                0.00013982210650502827,
                0.9998766053669702,
                0.9998601779776437,
                0.999964643757971,
                0.9988304895655012,
                0.9999251538020121,
                7.889262584508638e-06
            ],
            [
                0.9999599363174215,
                0.9996646499772183,
                0.9998601779103885,
                0.9999785550413688,
                0.9996200155662577,
                0.9999339478554703,
                0.9999546021476354,
                0.9998911030783433,
                0.9999485577741482,
                0.9998766054266315
            ],
            [
                0.9706877662807619,
                0.9968273165205684,
                2.4300246185637087e-05,
                0.9989677688576069,
                0.9996646499965267,
                0.9975273763661393,
                0.9997965729412351,
                0.9996646499745546,
                4.006370630118326e-05,
                0.9995694430194553
            ],
            [
                0.9994472214805824,
                0.9991959140873798,
                0.00012339457376531472,
                0.9995694429663222,
                0.9989677689359954,
                0.9993736658680871,
                0.9995694429159198,
                0.9992903297556541,
                0.9998911030651462,
                0.9993736659131931
            ],
            [
                0.9964063974344202,
                2.7535684483431157e-05,
                0.9980732651271309,
                0.9978172833786932,
                0.9978172840581991,
                0.9975273763506339,
                0.9992903297232503,
                0.9902915217545992,
                0.0002611902069400602,
                0.998674977700634
            ],
            [
                0.9997965729580045,
                5.82912723436836e-05,
                4.785096204285318e-06,
                5.8291286322448804e-05,
                0.9998911031301433,
                0.9991959140737241,
                1.0129993386593603e-05,
                1.0129995805691255e-05,
                0.99984156384148,
                0.9997040430105791
            ],
            [
                0.9999599362937163,
                6.605213597676714e-05,
                NaN,
                0.999769493261816,
                0.9986749777791987,
                0.9991959139994591,
                0.9993736658355874,
                0.9988304895640054,
                0.9998601778771425,
                0.9995694429230844
            ],
            [
                0.9875683485522491,
                0.9959298613233197,
                0.9626731156008577,
                0.9997040429103307,
                0.9953904277864402,
                0.999290329692126,
                0.9975273770202432,
                0.9796676446167347,
                0.000261190436890372,
                0.9914225158693093
            ],
            [
                0.0002611902007387459,
                0.9875683500386618,
                0.9975273769461611,
                NaN,
                0.9820137934594408,
                0.9953904274317636,
                0.9997694932607428,
                0.9890130554263734,
                0.970687767181726,
                6.605217600797426e-05
            ],
            [
                0.9988304896113298,
                0.9978172836783858,
                0.9997388097946939,
                0.9995121428425618,
                0.9997694931763007,
                0.999373665763629,
                0.9995694429940035,
                0.9997040429043116,
                0.9996646500186158,
                0.9998601779766122
            ],
            [
                0.9890130586242825,
                0.9998204720993386,
                0.9996200155703812,
                0.9971990730992112,
                6.144177528637686e-06,
                0.9890130585534427,
                0.9959298620424921,
                0.9995694429728105,
                0.9995121428314072,
                0.9980732653483136
            ],
            [
                0.9978172834162181,
                0.00017952789965322604,
                0.9953904280834281,
                0.9953904276838831,
                5.829126498257855e-05,
                0.999664649905087,
                2.430023199947767e-05,
                0.99944722142601,
                3.535624645507245e-05,
                0.9992903297609378
            ],
            [
                0.985936373034236,
                0.9990889488948738,
                0.0001584362892493255,
                0.9902915252018669,
                4.0063692132141055e-05,
                0.9995694429949805,
                0.9875683477861746,
                0.9740426438382782,
                0.9992903294378889,
                0.9890130560639313
            ],
            [
                0.9968273171700328,
                0.9953904280321496,
                0.999664649821755,
                0.999769493314775,
                0.9964063979954961,
                0.9890130557299723,
                0.9997388096025138,
                0.9992903295075264,
                0.00017952800563800323,
                0.9995694428655173
            ],
            [
                0.00029595715198674346,
                2.1444953508090254e-05,
                4.006368736948546e-05,
                4.539787397134796e-05,
                4.539788998618016e-05,
                3.120192246284879e-05,
                4.539786304608196e-05,
                7.484624502565293e-05,
                2.1444950923778325e-05,
                0.00012339452973658598
            ],
            [
                7.484626277430532e-05,
                0.9968273171008155,
                0.9997965729335342,
                0.9914225133587057,
                6.605215237686751e-05,
                0.9978172832833595,
                0.9995694430202444,
                3.1201918766788786e-05,
                1.1478773576051192e-05,
                2.2603234892298883e-06
            ],
            [
                0.9997040428401601,
                0.9996646498989012,
                0.9997694932347664,
                0.9998204719716585,
                0.9992903294847817,
                0.9975273766618931,
                0.9992903296463062,
                0.9995694430176015,
                0.999664649772874,
                0.9999151889387524
            ],
            [
                0.99682731667373,
                0.9995121427870444,
                0.999569443021046,
                0.999948557786653,
                0.997199073305361,
                0.9998911030696097,
                1.6701425820540864e-05,
                1.8925148200184586e-05,
                0.9975273769145758,
                0.9990889490091026
            ],
            [
                0.9986749774139496,
                8.481108144299433e-05,
                0.9924227572824385,
                0.9770226283337323,
                0.9914225131844683,
                0.9978172831002986,
                0.9991959141409741,
                0.9890130574098867,
                0.9988304897371203,
                0.9980732655426322
            ],
            [
                0.9993736657767455,
                0.00037998455547775964,
                0.00012339457383174477,
                0.00010889686903273935,
                NaN,
                0.0006263341278686932,
                0.992422760335914,
                0.9998601778774151,
                0.9994472212681454,
                0.00023050679057306513
            ],
            [
                0.00150118245671202,
                NaN,
                NaN,
                0.0001795279213380992,
                9.610240296895177e-05,
                0.9995694428851573,
                0.00012339458862409408,
                0.00020342697027724664,
                0.9995121429449967,
                0.000552778660849275
            ],
            [
                4.7850967745625735e-06,
                3.5356242258821454e-05,
                0.9993736658558087,
                0.9770226280828406,
                4.006367783499403e-05,
                0.9902915243154267,
                0.9971990729385833,
                0.9971990733268215,
                NaN,
                0.9991959140069885
            ],
            [
                8.481103064050281e-05,
                1.8925152717989902e-05,
                0.9995694428632877,
                5.829126546053932e-05,
                1.4738988952299598e-05,
                0.9971990726621994,
                0.9995121429198492,
                0.9992903294771038,
                8.93969309649113e-06,
                0.9820137872085638
            ],
            [
                0.997527376550483,
                0.9991959141992448,
                5.1442213614207906e-05,
                0.999769493286223,
                0.9995121427960134,
                0.9999417087209703,
                5.829126522686019e-05,
                0.9992903296956346,
                4.006369214992195e-05,
                0.9975273764649153
            ],
            [
                8.481108124060865e-05,
                0.00023050668366887534,
                0.9998204720345686,
                0.00023050665295715325,
                0.9998204720132834,
                0.9998204719498612,
                0.0002611904288575349,
                5.829125158695591e-05,
                0.00048785704691406304,
                0.00023050678536166077
            ],
            [
                0.9995694429682763,
                0.00023050676672267507,
                0.9996646497769619,
                0.0008040858823156244,
                0.999195914186805,
                0.9984988175197308,
                0.995929863197698,
                0.9997965730515561,
                0.9990889488377064,
                0.999704042801385
            ],
            [
                0.9998204721007333,
                4.0063696902084474e-05,
                0.9992903294428424,
                6.605216807535285e-05,
                0.9988304897862126,
                0.9997694932588715,
                3.5356246482211416e-05,
                0.9998204720843038,
                0.9997388096453454,
                0.9992903297326204
            ],
            [
                0.0002959571585741107,
                0.9996646499034868,
                0.0001088969082392542,
                NaN,
                0.0002305068163148556,
                0.0002959570504121416,
                0.0002959570390457081,
                9.610240039740522e-05,
                0.0003353500046440942,
                NaN
            ],
            [
                0.9989677687343224,
                0.9991959141771711,
                1.3007129998382795e-05,
                0.9669140192277584,
                0.9995121428121636,
                0.9996200154983812,
                0.9890130583915232,
                0.9989677689171486,
                0.9947798755251747,
                0.9978172831702775
            ],
            [
                0.9953904285064759,
                0.9997388097535417,
                0.9964063969417069,
                0.9997040427629802,
                8.4811051160426e-05,
                0.994088930604708,
                0.995929861812206,
                0.9984988174787236,
                0.9990889485953673,
                0.9988304894728923
            ],
            [
                0.0007096704188319211,
                0.9998911030786539,
                0.9998601779430976,
                0.9995121428939354,
                0.9997965730759761,
                NaN,
                0.9998911031042196,
                0.9998601778930637,
                0.9995694428209517,
                0.00012339458547315656
            ],
            [
                1.5534981242877147e-06,
                0.9933071494595872,
                0.9980732652471249,
                0.999704042777636,
                0.00010889693468274447,
                0.9995694429158196,
                0.9995694428663064,
                7.889263492155358e-06,
                0.9996646498970669,
                0.9990889488803038
            ],
            [
                0.9997388097588692,
                0.9998204719711361,
                0.9996646499393915,
                0.9999417087414608,
                0.9525741285053949,
                0.9971990735095599,
                0.9999756997621971,
                0.9998415638415147,
                0.9998415637080582,
                0.9984988180781251
            ],
            [
                0.9980732656514327,
                0.9982992777213878,
                8.481102039411772e-05,
                1.0129987341781759e-05,
                2.753570091766895e-05,
                7.484620904971269e-05,
                3.1201915003305256e-05,
                1.300713153672513e-05,
                0.9890130549810948,
                0.9980732655574076
            ],
            [
                0.9997040428140862,
                0.9998601779291946,
                0.9964063965690456,
                4.0063701685728496e-05,
                0.9964063968500005,
                0.999195914066522,
                0.9993736657782394,
                0.9991959139004081,
                0.9971990736773411,
                0.9975273770213917
            ],
            [
                0.9993736657064631,
                1.1478765385746131e-05,
                4.006371126992468e-05,
                0.9995694428655173,
                0.9996200154333569,
                0.9997040428322638,
                4.5397884779691074e-05,
                0.9988304896514468,
                0.9997388097340714,
                3.120192622145237e-05
            ],
            [
                0.9999339478556528,
                0.9999546021152503,
                0.9999832985741784,
                0.9993736659404097,
                0.9998766054549899,
                0.9999151889908185,
                0.9999810748585424,
                0.9999724642957929,
                0.9999599363078678,
                0.999876605470197
            ],
            [
                0.996827317877669,
                2.144494328950459e-05,
                0.9982992774838084,
                0.9978172840221955,
                0.991422512780554,
                0.9924227582559091,
                1.0129992163170095e-05,
                0.99682731646976,
                2.753568123767511e-05,
                0.9964063970750979
            ],
            [
                0.9982992777439204,
                2.4300240667077407e-05,
                0.9820137867150733,
                0.998830489846184,
                6.144172403470001e-06,
                0.9999417087365221,
                0.9993736657472698,
                5.14422195696261e-05,
                0.9998204719776556,
                0.9991959141380745
            ],
            [
                0.9902915229275657,
                0.9964063974869428,
                0.9994472214261707,
                6.605216811571998e-05,
                0.9996646497169387,
                8.939700556744102e-06,
                0.995929862019841,
                0.9997965729694939,
                1.1478766602708609e-05,
                0.9971990726062724
            ],
            [
                0.9990889489454714,
                0.999447221427457,
                0.9997694932663165,
                0.9978172832645971,
                0.9995121429372482,
                0.9995121428585985,
                0.9989677689262718,
                0.997199072489866,
                0.9998204720420051,
                0.9989677689882143
            ],
            [
                5.1442207367232475e-05,
                1.6701415853489846e-05,
                1.0129987351952995e-05,
                6.605212877796679e-05,
                2.430024064356258e-05,
                0.0006263341028745512,
                0.0001088969597112945,
                1.3007123801387135e-05,
                NaN,
                0.00015843628888971643
            ],
            [
                7.484620860428136e-05,
                2.1444943290362748e-05,
                0.9986749773244474,
                1.5534977541541885e-06,
                0.9997388096076132,
                0.9959298620047403,
                2.430024360271833e-05,
                6.60521287717195e-05,
                0.9820137881955445,
                0.9988304899207063
            ],
            [
                0.9968273177517526,
                1.8925141468298646e-05,
                0.9875683468485911,
                2.4300232006903406e-05,
                0.9996200153978047,
                0.9953904270642676,
                0.9986749778599201,
                0.9980732657490397,
                2.1444958627097733e-05,
                0.9997965730605327
            ],
            [
                0.9988304894565735,
                0.9982992777957055,
                0.999620015479776,
                0.9990889489329677,
                0.00013982208928794488,
                0.999841563805835,
                0.9995694429167966,
                0.9997040428488054,
                0.999088949019593,
                0.9999599363126778
            ],
            [
                0.9998415637842584,
                0.9971990731603407,
                0.9999151889560822,
                1.6701429801675944e-05,
                4.0063687374440786e-05,
                0.9902915233304932,
                0.9947798744394383,
                0.999290329590043,
                2.144495348827454e-05,
                0.9994472213959742
            ],
            [
                0.9971990726856107,
                0.9975273773171454,
                0.999290329665666,
                5.8291244593124e-05,
                0.9914225128122335,
                0.9924227571843911,
                0.979667646768647,
                7.889260703117714e-06,
                0.997817283199689,
                0.9998204720578181
            ],
            [
                0.999925153791056,
                0.9999038975624012,
                0.9999852610215472,
                0.9999417087485157,
                0.9995121429006623,
                0.9999646437577591,
                0.9999251537640507,
                0.9999417087208512,
                0.9999151889694989,
                0.999876605470556
            ],
            [
                0.9998766053814429,
                0.0004878571574381157,
                0.0003353500950594145,
                0.9998601779096136,
                0.997527376458024,
                0.9999151889793146,
                0.9998415638417544,
                0.999569442868298,
                0.9998204720789963,
                0.9998204721007804
            ],
            [
                0.0001584362713472507,
                0.00012339461807773337,
                0.00023050667331984953,
                0.00010889694735546742,
                0.00048785714387096046,
                0.0001398220563917865,
                3.12019001003417e-05,
                NaN,
                0.00012339463292933644,
                0.0004305570287677668
            ],
            [
                1.1478770849561016e-05,
                0.9991959141051042,
                0.9953904269147053,
                0.9995694428701517,
                0.9914225146575669,
                0.9997965729583479,
                0.9978172838918723,
                0.9991959140612843,
                2.7535687788789623e-05,
                5.829127240857092e-05
            ],
            [
                0.0010322311845283388,
                0.9998911031298519,
                0.9975273771827641,
                0.9986749775952648,
                9.610239164799482e-05,
                0.9990889488840125,
                0.9975273772620146,
                0.9971990725366886,
                0.9996646499751694,
                0.9996646498555815
            ],
            [
                0.9980732653559252,
                0.9890130555781729,
                1.8925157218446604e-05,
                3.120192215001967e-05,
                7.889262580217877e-06,
                0.998674977653341,
                0.992422758311936,
                0.9978172837027263,
                0.984093608404812,
                3.5356250648880135e-05
            ],
            [
                0.9820137933936423,
                0.9991959140312134,
                0.9991959139319753,
                0.9993736659877382,
                0.9991959138773989,
                0.9997965729545062,
                0.9980732652565274,
                0.9986749774875848,
                0.982013793558139,
                0.9998415638228749
            ],
            [
                0.9968273172061142,
                0.9988304898551593,
                0.9995694428172441,
                0.9984988177416926,
                0.994088931247735,
                1.0129990966943743e-05,
                0.9989677688311974,
                0.9990889487906055,
                5.1442225761959264e-05,
                1.760344050612108e-06
            ],
            [
                3.535625902209149e-05,
                1.0129994595718555e-05,
                0.9947798736874025,
                0.9982992779154835,
                0.9989677691896471,
                5.8291258442956145e-05,
                0.9796676451732639,
                0.9989677691194216,
                0.9998766053678606,
                0.9986749774757231
            ],
            [
                0.9994472212990817,
                0.9998601779781543,
                5.829127930740772e-05,
                0.999959936317427,
                0.9998766054407237,
                0.9999756997563912,
                0.9999687980998352,
                1.670141982714927e-05,
                0.9995121429605224,
                0.9999810748428117
            ],
            [
                0.9997694933409796,
                0.0002611902320721041,
                0.00010889689561723936,
                0.9998415637477858,
                0.9947798738058904,
                0.000626334258450349,
                0.9982992775338148,
                NaN,
                0.999876605440765,
                0.9982992774711585
            ],
            [
                0.00026119038655025075,
                1.1478772224477678e-05,
                8.939696296928812e-06,
                6.144173134522134e-06,
                5.14422193113783e-05,
                NaN,
                2.144495861750193e-05,
                3.5356242231939725e-05,
                0.00037998459253346385,
                4.0063706444596424e-05
            ],
            [
                0.798186775339273,
                0.9997965730541221,
                0.9995121428981361,
                1.892515725920463e-05,
                0.9989677688967411,
                3.535625064630772e-05,
                0.9999646437493745,
                1.8925148194952138e-05,
                1.4738988981093183e-05,
                1.6701417844299117e-05
            ],
            [
                NaN,
                0.9994472213955884,
                0.9902915223455594,
                0.9975273762581749,
                5.144222567363103e-05,
                0.9998766053675968,
                0.9933071485463432,
                8.939696295042527e-06,
                7.484620911178992e-05,
                2.430025230320762e-05
            ],
            [
                0.994779875152784,
                0.998073265198769,
                0.9978172833680442,
                0.9986749775259429,
                0.9933071486918431,
                0.9996200154336112,
                0.9991959139496063,
                1.0129987353832463e-05,
                0.9992903295509519,
                0.9796676480672146
            ],
            [
                8.939700535734794e-06,
                6.144176797115634e-06,
                2.430025230320762e-05,
                7.88926258532661e-06,
                8.939697366029015e-06,
                0.9999485577988861,
                4.5397879426550244e-05,
                0.9997040427631783,
                2.4300232038993178e-05,
                1.1478770846679639e-05
            ],
            [
                0.9947798736003501,
                6.962255416328664e-06,
                0.9971990730003633,
                0.9978172838634751,
                0.9964063967674648,
                0.9980732650098234,
                6.60521680181661e-05,
                0.9840936105624069,
                1.3007133095840714e-05,
                0.9968273164749144
            ],
            [
                0.00029595708505393347,
                0.0002034269219047355,
                NaN,
                5.829126492235635e-05,
                0.00010889688176249614,
                0.9982992776103066,
                0.9980732652171264,
                4.006368738595465e-05,
                0.00015843617541005267,
                0.00020342689622090203
            ],
            [
                0.9998415637673476,
                0.9984988175178112,
                0.9947798748481008,
                0.9998601778933708,
                0.9978172832062812,
                0.9996646500148694,
                0.9997040429829208,
                NaN,
                0.9997040428325394,
                0.9875683513878671
            ],
            [
                0.9990889490080959,
                6.605214455429738e-05,
                5.829125852607975e-05,
                0.997817283862968,
                0.9840936107665037,
                0.9993736658460441,
                0.00010889693479365852,
                0.9980732655502438,
                8.481107135579669e-05,
                0.9995121429473242
            ],
            [
                0.0001398220529556947,
                0.00026119033234191545,
                0.00023050671212031498,
                9.610241464369e-05,
                8.481100955291794e-05,
                0.0003353501746545768,
                5.829127227031429e-05,
                2.1444948402034417e-05,
                0.00020342704088266526,
                0.0001584361566550726
            ],
            [
                0.00017952802829978003,
                6.605217537026971e-05,
                5.829126520650338e-05,
                1.67014238214675e-05,
                0.9990889489333915,
                0.9975273767175982,
                0.9975273765372745,
                6.605214442214313e-05,
                4.0063706481032684e-05,
                1.300713155082621e-05
            ],
            [
                0.9740426420015996,
                1.473898195036624e-05,
                0.9996200155678496,
                7.484621720252239e-05,
                0.9953904267865089,
                0.9968273166538486,
                2.2603248358025224e-06,
                1.147876812238246e-05,
                0.9968273177038895,
                0.0001398220726262533
            ],
            [
                0.9971990735609347,
                0.9669140242331868,
                0.9875683463111955,
                0.9890130579563648,
                0.9964063972393358,
                0.00010889693428820737,
                0.9902915248526633,
                0.9820137868137715,
                1.3007134471642428e-05,
                0.9902915249601104
            ],
            [
                0.9998415637085538,
                0.0001398220400027076,
                0.00013982202235637535,
                0.9999546021478326,
                4.785092775085556e-06,
                0.999290329729731,
                0.9998766053813872,
                0.9999151889286245,
                0.9999646437451225,
                0.999569442987365
            ],
            [
                7.889266344321303e-06,
                0.9968273166074582,
                0.9940889305882902,
                7.889265389848976e-06,
                2.753569764256071e-05,
                2.7535684441960166e-05,
                2.7535704192176552e-05,
                0.9988304899018038,
                5.144219516222186e-05,
                0.9875683462540258
            ],
            [
                0.9988304898280974,
                0.9999251537642646,
                0.9995121427697307,
                0.998967769128425,
                0.9993736658502341,
                0.999512142890643,
                0.9994472213423344,
                0.998498817843425,
                0.9990889489099206,
                0.9995694428248847
            ],
            [
                0.9989677689804114,
                0.997199072426135,
                0.9997388097933412,
                0.9968273175308463,
                0.9997694932249539,
                0.9947798736317858,
                0.9978172833573952,
                0.9968273176015363,
                0.9995121429692927,
                0.9982992779728028
            ],
            [
                0.995929862555917,
                0.9986749775696927,
                0.979667648957661,
                7.88925975491718e-06,
                0.9993736658638607,
                0.9990889488747936,
                NaN,
                0.9996200154535209,
                0.9998415638241842,
                0.9997040427852739
            ],
            [
                3.120191504757351e-05,
                1.6701427798409776e-05,
                0.9924227576886349,
                0.9988304899677588,
                0.9940889310288322,
                2.9023109471452223e-06,
                4.539787375401187e-05,
                0.992422760041772,
                0.9978172840024189,
                0.995390427602692
            ],
            [
                7.484625388309796e-05,
                0.9986749777251277,
                0.0001584362138144313,
                0.00037998442700990604,
                4.006370166036886e-05,
                1.4738987238464762e-05,
                0.0001233945741279867,
                1.8925145928063516e-05,
                0.00012339461811902776,
                0.00010889688235826274
            ],
            [
                0.9996200154839436,
                0.9947798741806994,
                2.1444940740066406e-05,
                0.0004305571599344407,
                0.9947798749158081,
                4.0063711244273545e-05,
                0.00017952789961143395,
                2.4300240718880753e-05,
                9.610244890302106e-05,
                0.9992903297651896
            ],
            [
                0.9993736657011073,
                0.0007096702514871187,
                0.9998204719489601,
                5.8291278598736374e-05,
                0.00020342694499000003,
                0.9996200154737179,
                0.0002611903325471061,
                1.0,
                0.00017952794141920305,
                6.605212884908979e-05
            ],
            [
                0.00013982210557937858,
                0.9820137896102169,
                0.9959298626465215,
                8.93969522548714e-06,
                0.9975273765642656,
                0.9940889309221171,
                0.9964063979254658,
                6.605216807535285e-05,
                0.9978172835409632,
                1.3007134662432895e-05
            ],
            [
                5.144219515810486e-05,
                0.00010889696074913333,
                0.9990889489342393,
                8.939693102572767e-06,
                0.9465966662454831,
                9.610246058755327e-05,
                0.9964063969016896,
                0.9982992774316279,
                0.9989677690950529,
                0.9997040428047863
            ],
            [
                0.9890130574908463,
                0.9996646498563425,
                1.6701425821573757e-05,
                1.3007129989581452e-05,
                0.00029595723258512993,
                1.892514596944115e-05,
                1.1478772228256871e-05,
                0.9980732649856454,
                1.01299873472359e-05,
                0.9997040429511981
            ],
            [
                0.9991959141449959,
                0.9984988174958244,
                0.9996200155262063,
                0.9997694932871285,
                7.484620034419881e-05,
                0.00023050662669893592,
                NaN,
                0.00017952804985668037,
                0.9993736659095497,
                0.9997694933136886
            ],
            [
                0.9999485577619706,
                0.9995121429616008,
                4.539786311643542e-05,
                0.9996200155725589,
                0.999876605455243,
                0.99990389756239,
                0.9995121429582232,
                0.9875683505989251,
                0.9998204719539229,
                0.9902915243154268
            ],
            [
                0.9998415637277122,
                0.9991959140727887,
                0.9399133519298963,
                0.9998766054555358,
                0.00012339454479824084,
                0.9992903297334048,
                0.9999417087286516,
                4.7850927818311495e-06,
                0.9997388096303058,
                0.9991959141716995
            ],
            [
                0.9998766053665733,
                0.9984988177324441,
                0.9997965729319832,
                0.9980732650098234,
                0.9999251537460739,
                0.9999251537550087,
                0.9995121429503895,
                0.998498817796136,
                0.9995694428652293,
                0.00010889694772465279
            ],
            [
                0.9995694429163081,
                0.9998766054408744,
                0.95257412564436,
                6.605215236389237e-05,
                0.9953904282009415,
                0.9933071497660657,
                0.9993736659055419,
                0.9998415637836361,
                0.9997040429747318,
                0.9999339478240049
            ],
            [
                0.9902915228559341,
                2.7535697588468086e-05,
                0.9982992775630675,
                0.998830489517633,
                0.9902915212800402,
                0.00017952802928189492,
                1.4738978450419574e-05,
                0.9996200154829818,
                0.99937366585559,
                0.999447221461191
            ],
            [
                0.9975273762868888,
                0.9980732654920378,
                0.999290329447218,
                0.9964063981272198,
                0.9971990726160271,
                0.9924227596916028,
                0.9999546021369361,
                0.999512142890501,
                0.9971990730237746,
                4.539786313129883e-05
            ],
            [
                5.8291244647832884e-05,
                4.5397884837823535e-05,
                0.9968273168894819,
                0.9994472212841603,
                0.9975273767101326,
                0.9840936050809492,
                0.0001584361944139949,
                0.997817284036394,
                4.785095633877571e-06,
                0.00015843621345482242
            ],
            [
                0.9820137910577884,
                0.99781728396033,
                2.4300237810821485e-05,
                0.9984988180322321,
                0.9982992775646486,
                0.9990889486980462,
                0.9840936052558893,
                3.5356238017553724e-05,
                1.3007131551441357e-05,
                0.9992903295703942
            ],
            [
                NaN,
                0.00015843627166306116,
                0.0003353500194352467,
                0.00020342704250455392,
                0.00020342704428034445,
                0.0001795280246847615,
                7.484626279663136e-05,
                0.00020342694667108092,
                NaN,
                0.0003353501355887458
            ],
            [
                7.484622699602356e-05,
                0.9959298616819622,
                2.4300249203315398e-05,
                0.9991959140160144,
                4.5397890231261374e-05,
                0.9994472214002834,
                0.9989677692030919,
                0.9980732657508307,
                0.9998415638445436,
                0.9993736659382966
            ],
            [
                0.9995121428463652,
                0.9953904288419227,
                0.999876605425872,
                0.9997040427740539,
                0.9992903296545208,
                0.9975273763483368,
                0.9992903294901894,
                0.9992903295879378,
                0.9997965730039087,
                0.9995694428428713
            ],
            [
                0.9982992776205846,
                0.00012339457348882222,
                0.9968273166126128,
                0.9989677691110187,
                0.0006263341100521691,
                0.9992903294373109,
                0.9993736659286414,
                0.9991959141142236,
                0.9997965729806162,
                0.00023050673368358427
            ],
            [
                0.9859363719882366,
                0.9999251537731852,
                0.9998204719501433,
                0.9989677688838965,
                1.3007131518365337e-05,
                0.9997694933756821,
                0.9996200154396471,
                0.9998204720146521,
                0.999903897597087,
                0.9998415637849085
            ],
            [
                0.9994472213639768,
                0.9997694932678122,
                0.9995121429567474,
                0.9992903294794567,
                0.9998204720781786,
                0.014063629910058557,
                0.9995694429970597,
                0.9988304896215291,
                0.999569442873709,
                0.987568348769494
            ],
            [
                0.9971990725802597,
                0.000158436251992911,
                6.605215246769354e-05,
                0.9988304895146412,
                0.00012339458883415657,
                0.9998204720557833,
                6.605215242684585e-05,
                0.9982992773594844,
                9.610242602198156e-05,
                0.9971990727337341
            ],
            [
                0.000295956973585393,
                0.9984988176615978,
                0.9997040427646766,
                0.9991959138892775,
                0.9992903296487003,
                0.9998766054551425,
                0.9998415637647842,
                0.9988304898663105,
                0.9978172834998886,
                0.9980732650447469
            ],
            [
                0.9998601779271297,
                0.9999151889893673,
                0.0002959570198347144,
                0.0001795280502563176,
                NaN,
                0.999959936317401,
                0.00010889689514664707,
                NaN,
                0.00033534997668140267,
                0.9999485577986598
            ],
            [
                0.999664649938855,
                NaN,
                0.9997040427682932,
                0.9999339478403422,
                0.00017952805096939573,
                0.9998911030780359,
                0.9940889321425003,
                0.9953904270236721,
                0.00023050665592838981,
                0.9994472213328477
            ],
            [
                0.9998766054551622,
                0.9993736657790774,
                0.9995694429462815,
                0.9993736659828925,
                0.9997040429738621,
                1.8925143724239906e-05,
                0.9999417087214734,
                0.9997040429746284,
                0.9994472214078084,
                0.9997040429787359
            ],
            [
                0.00010889695958295106,
                0.0005527786322928236,
                0.9997388095973688,
                NaN,
                0.9999485577626607,
                5.144222575222819e-05,
                0.9995121428589107,
                0.00010889690867815683,
                0.00010889695960513388,
                0.9990889486319249
            ],
            [
                0.9820137866163754,
                0.999620015489051,
                0.9989677690370719,
                0.9991959141265699,
                0.9984988177324441,
                0.9959298632203492,
                0.9984988179748222,
                0.9992903295008393,
                0.9933071481686624,
                0.9975273773418393
            ]
        ]
    },
    {
        "q_id": "10605_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999997617631184,
                0.9999987901344607,
                0.9999991684718732,
                0.9999977396748938,
                0.9999990577556307,
                0.9999990577556308,
                0.9999990577556308,
                0.9999996072136125,
                0.9999993524051246,
                0.9999989322968753
            ],
            [
                0.9999962733602716,
                0.9999982396565769,
                0.9999957771655487,
                0.9999974387183999,
                0.9999990577554061,
                0.9999984465018751,
                0.9999952149037941,
                0.9999986290424663,
                0.9999967112509346,
                0.9999990577549569
            ],
            [
                0.9993736659692295,
                0.9998204720979699,
                0.9997040430061273,
                0.9999339478474506,
                0.9996200154240377,
                0.9998911030517628,
                0.9968273171950689,
                0.999620015514278,
                0.999620015514068,
                0.9998204719695453
            ],
            [
                0.9999970976869769,
                0.9999921107336525,
                0.9999974387168733,
                0.9999967112509347,
                0.9999930377412604,
                0.9999967112517186,
                0.9999952149066461,
                0.9999921107374143,
                0.9999921107392953,
                0.9999151889485163
            ],
            [
                0.9149009526726544,
                0.001926734455352938,
                0.9980732657519499,
                0.9890130567824489,
                0.9770226298808979,
                0.8519528057272544,
                0.9968273174505837,
                0.9940889301805838,
                0.0019267344320705372,
                0.9959298629183346
            ],
            [
                0.999999266179107,
                0.9999993524052018,
                0.9999987901347491,
                0.99999862904312,
                0.9999982396563669,
                0.9999977396759716,
                0.9999994956525918,
                0.9999984465020603,
                0.9999992661791944,
                0.9999832985781559
            ],
            [
                0.999933947831719,
                0.9999546021475963,
                0.9999546021367736,
                0.9999967112509346,
                0.9999485577802159,
                0.9999952149032236,
                0.9999898700066057,
                0.999995777166052,
                0.9999832985841293,
                0.9999832985821381
            ],
            [
                0.9999980052700407,
                0.9999938558275955,
                0.999998790134605,
                0.9999992661790195,
                0.9999952149066461,
                0.9999982396565769,
                0.9999977396757022,
                0.9999970976869769,
                0.9999977396751633,
                0.9999991684716749
            ],
            [
                0.9999977396746244,
                0.999991060303696,
                0.9999599363173639,
                0.9999724643121822,
                0.9999977396748938,
                0.9999910603058275,
                0.9999987901347491,
                0.9999945777803838,
                0.9999869928761876,
                0.9999987901340279
            ],
            [
                0.9999986290426297,
                0.9999982396563669,
                0.9999987901341723,
                0.9999982396567867,
                0.9999930377429206,
                0.9999987901346049,
                0.999999057755743,
                0.9999869928746368,
                0.9999952149060757,
                0.9999986290421394
            ],
            [
                6.962255419653012e-06,
                1.99472900813862e-06,
                1.9947299592933255e-06,
                8.939700566801578e-06,
                1.2098658277489788e-06,
                1.5534975693933505e-06,
                3.726638395611981e-06,
                1.9947297215043796e-06,
                1.3709576971425944e-06,
                2.5612812947508257e-06
            ],
            [
                0.9999995549150541,
                0.9999989322972572,
                0.9999992661789321,
                0.999999352405279,
                0.9999984465018751,
                0.9999974387177893,
                0.999999266178757,
                0.9999994284994167,
                0.9999987901338838,
                0.9999995549147889
            ],
            [
                0.9998766053662125,
                0.9994472212521307,
                0.9999485577679386,
                0.9975273769099816,
                0.9997040429000922,
                0.9971990735648367,
                0.9953904274574029,
                0.9996200154230428,
                0.9994472213186981,
                0.9982992774551487
            ],
            [
                0.9999993524054334,
                0.999998629042303,
                0.9999993524051246,
                0.9999996072137998,
                0.9999994284992805,
                0.9999990577556307,
                0.9999980052707541,
                0.9999990577549568,
                0.9999996072139402,
                0.9999996940978461
            ],
            [
                0.9989677687847405,
                0.9988304895788283,
                0.9997965730266685,
                0.999620015468666,
                0.9988304895800523,
                0.9933071496700977,
                0.9984988178589553,
                0.9971990731987094,
                0.9991959140426712,
                0.9875683478776462
            ],
            [
                0.9999921107402358,
                0.9999977396762411,
                0.9999990577550691,
                0.9999996533673375,
                0.9999957771675623,
                0.9999987901346049,
                0.9999989322975118,
                0.9999832985801468,
                0.9999989322973845,
                0.999998005269803
            ],
            [
                0.9999974387168733,
                0.9999938558239332,
                0.9999980052705163,
                0.9999990577556307,
                0.9999982396569965,
                0.9999982396561571,
                0.999998790134028,
                0.9999989322966208,
                0.999998239656367,
                0.9999982396563669
            ],
            [
                0.999999730042126,
                0.9999997300421903,
                0.9999989322975118,
                0.9999994956527722,
                0.999999352405279,
                0.9999996533675028,
                0.999999855502048,
                0.9999997617631184,
                0.9999994956523512,
                0.9999997300422868
            ],
            [
                0.9399133489844308,
                0.8670357477770337,
                0.9669140226838877,
                0.5,
                0.9525741226150287,
                0.9324533154301279,
                0.9820137898405122,
                0.974042643791184,
                0.9465966692585822,
                0.9579122723847614
            ],
            [
                0.9999646437577169,
                0.9999339478474458,
                0.9997965730991414,
                0.9995121427645933,
                0.9998204720338216,
                0.9999251537905833,
                0.9998204720337877,
                0.999820471969608,
                0.9999038976079088,
                0.9999869928653331
            ],
            [
                0.999876605425066,
                0.998073265746801,
                0.9997965730991827,
                0.9995694428575135,
                0.9996646497293785,
                0.998299277250182,
                0.9995121427635432,
                0.9999038975850012,
                0.9998766054103453,
                0.9997965730265855
            ],
            [
                0.999999057755743,
                0.9999996940978095,
                0.9999992661786696,
                0.9999996072138934,
                0.9999997617631469,
                0.999998629042303,
                0.9999974387184,
                0.9999996940977366,
                0.9999996940977366,
                0.9999989322970027
            ],
            [
                0.9998415637641479,
                0.9999339478710602,
                0.9947798752325819,
                0.9994472213200488,
                0.9999151889687554,
                0.9998204720980326,
                0.9999485577740842,
                0.9998415637264605,
                0.9997040427592259,
                0.9975273762794232
            ],
            [
                0.9999994956527722,
                0.9999993524050473,
                0.9999989322966208,
                0.9999993524054334,
                0.9999998144609645,
                0.9999996533674201,
                0.9999990577551814,
                0.9999995549150011,
                0.9999995549147359,
                0.9999994284994849
            ],
            [
                5.422220262555012e-06,
                1.0677027427569065e-06,
                2.561281905390075e-06,
                7.338208055664991e-07,
                8.315282259117513e-07,
                9.422447062270609e-07,
                3.2887506335906595e-06,
                9.422445939002803e-07,
                4.7850933538313875e-06,
                8.939693106987645e-06
            ],
            [
                0.9999417087553089,
                0.9999930377420904,
                0.9999687980737526,
                0.9999938558275954,
                0.999992110736474,
                0.9999921107383548,
                0.9999945777823229,
                0.9999930377454102,
                0.9999957771680656,
                0.9999980052705163
            ],
            [
                0.9988304899901971,
                0.9525741229516211,
                0.9997040427944791,
                0.9933071505647671,
                0.9990889489743995,
                0.9964063978521007,
                0.9971990728930612,
                0.998498817492509,
                0.9953904274574029,
                0.9953904279616418
            ],
            [
                0.9997040429001783,
                0.9924227584660106,
                0.9986749775177783,
                0.9986749775034519,
                0.9978172834004982,
                0.9997388096281096,
                0.9991959140429518,
                0.9998601779758493,
                0.9997040430059551,
                0.9968273178739874
            ],
            [
                0.999999266178932,
                0.9999967112521109,
                0.9999987901344607,
                0.999995214903794,
                0.9999989322975118,
                0.9999990577551815,
                0.9999995549150011,
                0.9999989322967481,
                0.999998790134605,
                0.9999993524049702
            ],
            [
                0.9999992661786696,
                0.9999990577556307,
                0.9999989322970027,
                0.9999994284995529,
                0.9999994284996211,
                0.9999997617631753,
                0.9999996940977366,
                0.9999990577552939,
                0.9999994956525317,
                0.9999982396559473
            ],
            [
                0.9999994284995529,
                0.9999993524049702,
                0.9999997300422547,
                0.9999996072136125,
                0.999999554914895,
                0.9999996072136125,
                0.9999996072138934,
                0.9999997300421581,
                0.9999991684720715,
                0.9999996940976636
            ],
            [
                0.9997694933669528,
                0.9999930377404306,
                0.9999756997534747,
                0.9999832985721833,
                0.9999921107336526,
                0.9999646437577213,
                0.9999967112521109,
                0.9999785550566999,
                0.9999898700114355,
                0.9999417087483685
            ],
            [
                0.9997040427944791,
                0.9947798734939528,
                0.9988304898550233,
                0.9959298615781447,
                0.9947798750101149,
                0.9989677689111464,
                0.9975273768514051,
                0.9964063978154183,
                0.9989677687878616,
                0.9980732655356923
            ],
            [
                0.9999986290427931,
                0.9999992661789321,
                0.9999987901344607,
                0.9999994956524715,
                0.9999992661786695,
                0.9999995549148419,
                0.999999495652652,
                0.9999982396567867,
                0.9999970976883608,
                0.9999982396561572
            ],
            [
                0.9968273170698887,
                0.9902915242437952,
                0.9993736657439908,
                0.9914225146496471,
                0.9991959141380278,
                0.9984988180449705,
                0.9947798742387342,
                0.9924227576326078,
                0.9820137923079637,
                0.9980732650834764
            ],
            [
                0.9999251537370515,
                0.9324533032291501,
                0.9999038975391845,
                0.999933947863201,
                0.9998911030647294,
                0.9999810748472489,
                0.9999687980923457,
                0.9996646498492299,
                0.9999687980811902,
                0.9998204720337877
            ],
            [
                0.9999991684721706,
                0.9999977396759716,
                0.9999989322967481,
                0.999999057755069,
                0.9999989322972572,
                0.9999987901346049,
                0.9999987901337396,
                0.9999994956527121,
                0.9999945777784447,
                0.9999986290429567
            ],
            [
                0.9990889487560084,
                0.9993736658195197,
                0.9997694932570371,
                0.9964063974702689,
                0.99984156380196,
                0.9978172831464441,
                0.9947798748287557,
                0.9933071478405137,
                0.9997965729294587,
                0.9997965729537396
            ],
            [
                0.9999996072138934,
                0.9999992661790195,
                0.9999994284992805,
                0.999998790134605,
                0.9999974387177893,
                0.9999992661786695,
                0.9999996072136125,
                0.9999994956527121,
                0.9999992661786695,
                0.9999987901340279
            ],
            [
                0.9990889486495679,
                0.9978172836439034,
                0.9924227603289106,
                0.9953904282052146,
                0.9875683515365085,
                0.97966764624922,
                0.9988304897224335,
                0.9902915228022106,
                0.9984988178818146,
                0.9989677690328704
            ],
            [
                0.9999930377437508,
                0.9999724643089007,
                0.9999977396765104,
                0.9999910603058275,
                0.9999930377420904,
                0.9999938558253981,
                0.9999945777803838,
                0.9999930377412605,
                0.999995777166052,
                0.9999910603015646
            ],
            [
                0.9999962733593832,
                0.9999982396565769,
                0.9999992661792819,
                0.9999984465026158,
                0.9999987901337396,
                0.9999980052700408,
                0.9999982396559473,
                0.9999984465016899,
                0.9999977396751633,
                0.9999952149049349
            ],
            [
                0.9999687980997854,
                0.9999599362934897,
                0.9999646437450794,
                0.9999885212264013,
                0.9999687980737504,
                0.9999546021313555,
                0.999933947863201,
                0.9999832985821387,
                0.9999485577924824,
                0.9999038975621606
            ],
            [
                0.9999997897566589,
                0.9999994284993486,
                0.9999994284996211,
                0.9999995549151072,
                0.999999653367379,
                0.999999352404893,
                0.9999991684719723,
                0.9999996940976272,
                0.9999996940977731,
                0.9999996072138465
            ],
            [
                0.9999991684719723,
                0.9999990577556307,
                0.9999986290427931,
                0.9999987901341723,
                0.9999989322966208,
                0.9999993524053562,
                0.9999990577552937,
                0.9999984465026158,
                0.999999266178757,
                0.9999992661790195
            ],
            [
                0.9999546021205328,
                0.9999599362887088,
                0.9999546021421782,
                0.9999646437619301,
                0.9999687980960662,
                0.99979657309939,
                0.9999724643187485,
                0.999738809721874,
                0.9998911030777198,
                0.9998766054397576
            ],
            [
                0.9980732653248074,
                0.977022628417363,
                0.9465966722716814,
                0.9669140211345885,
                0.8354835371034368,
                0.9933071480107796,
                0.9626731153331316,
                0.8807970654616711,
                0.9706877667577429,
                0.9940889322683695
            ],
            [
                0.9999995549148419,
                0.9999990577555183,
                0.9999996072137529,
                0.9999996072137998,
                0.999999352404893,
                0.9999977396751633,
                0.9999992661792819,
                0.9999986290426297,
                0.9999991684715759,
                0.999999495652652
            ],
            [
                6.962254589851619e-06,
                2.5612828213690224e-06,
                4.78509278348926e-06,
                3.726638395611981e-06,
                2.5612828213934817e-06,
                2.5612816000331606e-06,
                4.2228324377164004e-06,
                4.785096776468749e-06,
                4.450851580566494e-07,
                1.892515500715167e-05
            ],
            [
                0.9999994956523514,
                0.9999991684720715,
                0.999998790134605,
                0.9999994284995529,
                0.9999993524050473,
                0.9999996072137529,
                0.9999996940977731,
                0.9999994284994167,
                0.9999991684720715,
                0.9999993524051246
            ],
            [
                0.9999974387177893,
                0.9999984465022455,
                0.9999974387187053,
                0.99999862904312,
                0.999996273358939,
                0.9999992661792819,
                0.9999986290427931,
                0.9999989322968753,
                0.9999967112505427,
                0.999997438717484
            ],
            [
                0.9999970976873228,
                0.9999996072137998,
                0.9999984465018751,
                0.9999990577552937,
                0.9999990577552939,
                0.9999977396754327,
                0.9999993524049702,
                0.9999945777829693,
                0.9999989322970027,
                0.9999986290421394
            ],
            [
                0.9999898700102277,
                0.9999991684717741,
                0.9999989322972572,
                0.9999984465020603,
                0.9999974387168733,
                0.9999987901338838,
                0.9999989322970027,
                0.9999977396748938,
                0.9999957771645419,
                0.9999991684722697
            ],
            [
                0.9999970976890528,
                0.9999910603015647,
                0.9999885212264011,
                0.9999832985741761,
                0.9999938558261307,
                0.9999938558232008,
                0.9999945777797375,
                0.9999898700041899,
                0.9999945777803838,
                0.9999952149072165
            ],
            [
                3.927860597945825e-07,
                5.04347528446051e-07,
                3.927862002663297e-07,
                2.2603251062270446e-06,
                1.0677029973192638e-06,
                5.715006514167015e-07,
                9.422444815792981e-07,
                2.26032402841657e-06,
                2.1024334103553052e-07,
                3.466325384678894e-07
            ],
            [
                0.9999756997563729,
                0.9999930377420905,
                0.9999832985841289,
                0.9999921107402358,
                0.9999852610127573,
                0.9999546021097508,
                0.999985261018029,
                0.9999646437408679,
                0.9999687980960696,
                0.9999852610215433
            ],
            [
                0.9947798747634665,
                0.9840936061014335,
                0.9740426404945812,
                0.9770226309680954,
                0.9986749778194053,
                0.8933093996634686,
                0.9968273170647343,
                0.994088932235534,
                0.9953904280834281,
                0.9902915223813752
            ],
            [
                0.9999687980960721,
                0.9999852610110012,
                0.9999957771655487,
                0.9999898700053976,
                0.9999910603026304,
                0.999986992865333,
                0.9999724643121822,
                0.999841563839772,
                0.9998601779425625,
                0.9999251537548878
            ],
            [
                0.9999952149066461,
                0.9999967112517189,
                0.9999646437324317,
                0.9999910603026304,
                0.9999485577740814,
                0.9999599363173711,
                0.9999785550592557,
                0.9999646437450735,
                0.9999151889485459,
                0.9999810748449911
            ],
            [
                5.04347468323289e-07,
                8.315278294072958e-07,
                2.2603253756874524e-06,
                3.2887482813149375e-06,
                1.3709576971316842e-06,
                5.043472278312808e-07,
                6.475945666051092e-07,
                3.466325384678894e-07,
                6.475948754028718e-07,
                9.422447062240614e-07
            ],
            [
                0.9999646437408649,
                0.9999869928730869,
                0.9999938558224684,
                0.9996646498099395,
                0.999820471969608,
                0.9999910603068933,
                0.9999852610110004,
                0.9999646437408619,
                0.9998204719699032,
                0.9999038975392034
            ],
            [
                0.9999945777803838,
                0.9999984465024306,
                0.9999986290429567,
                0.9999970976869769,
                0.9999982396561571,
                0.9999992661791944,
                0.9999970976890528,
                0.9999980052705163,
                0.9999982396567867,
                0.9999974387174839
            ],
            [
                0.9999962733598274,
                0.9999952149060757,
                0.9999990577549569,
                0.9999989322966208,
                0.9999984465024306,
                0.9999982396569965,
                0.9999980052707541,
                0.999998005269803,
                0.9999987901337396,
                0.9999945777797377
            ],
            [
                0.9999974387177892,
                0.9999945777803838,
                0.9999992661786695,
                0.9999980052693274,
                0.9999957771645419,
                0.9999930377462406,
                0.9999977396765105,
                0.9999989322972572,
                0.9999724642990531,
                0.9999989322968753
            ],
            [
                0.9999417087483609,
                0.9999982396572064,
                0.9999962733607158,
                0.9999957771665555,
                0.9999967112521109,
                0.9999646437492907,
                0.9999970976873229,
                0.9999339478395728,
                0.999998446502801,
                0.9999921107383548
            ],
            [
                0.9999974387171787,
                0.9999970976876689,
                0.9999994284993485,
                0.9999992661790196,
                0.999999057755743,
                0.9999952149049351,
                0.9999921107355337,
                0.9999987901338838,
                0.9999994284994849,
                0.9999992661791944
            ],
            [
                0.9999996072138934,
                0.9999869928668839,
                0.9999984465015046,
                0.9999990577552939,
                0.9999970976876689,
                0.9999952149066462,
                0.9999995549150011,
                0.999998790134028,
                0.9999957771650453,
                0.9999980052695652
            ],
            [
                0.8933094110250333,
                0.9046505344582187,
                0.9875683462997616,
                0.9324533013520765,
                0.9706877717925422,
                0.7310585786300048,
                0.9840936079966184,
                0.8175744673038222,
                0.9149009526726545,
                0.9796676466573412
            ],
            [
                0.9669140230414183,
                0.9924227579757737,
                0.9840936054308295,
                0.9988304895742047,
                0.9933071480107796,
                0.9820137927685547,
                0.9982992776516161,
                0.9968273178018247,
                0.9669140188702279,
                0.9940889310425136
            ],
            [
                0.9999994284996211,
                0.9999984465015047,
                0.999998629042303,
                0.9999986290432834,
                0.9999984465022455,
                0.9999987901344607,
                0.9999987901337396,
                0.9999991684715759,
                0.9999980052700407,
                0.999999057755743
            ],
            [
                0.9999417087275172,
                0.999995777166052,
                0.9999485577618152,
                0.9999952149072164,
                0.9999756997650621,
                0.9999967112517187,
                0.9999970976890528,
                0.9999962733589389,
                0.9999852610162715,
                0.9999869928684344
            ],
            [
                0.9999977396754327,
                0.9999974387177892,
                0.9999994284993486,
                0.9999990577554061,
                0.9999990577552937,
                0.9999993524053562,
                0.9999974387184,
                0.9999962733598274,
                0.9999974387168732,
                0.9999982396559473
            ],
            [
                0.9999977396765105,
                0.9999852610215422,
                0.9999982396572064,
                0.9999910603004989,
                0.9999980052693274,
                0.9999984465026158,
                0.9999952149037941,
                0.9999977396746244,
                0.9999945777829695,
                0.9999885212318744
            ],
            [
                0.9998204720552453,
                0.99986017787593,
                0.9999151889586466,
                0.9999417087136139,
                0.9998601779592263,
                0.9996646499293421,
                0.9998601779092168,
                0.9999756997679566,
                0.9999038975506579,
                0.9999810748562717
            ],
            [
                8.315282259009745e-07,
                1.2098655392811161e-06,
                2.9023112931213857e-06,
                8.315279285251204e-07,
                1.7603432132912532e-06,
                1.5534971989907999e-06,
                1.2098661161982042e-06,
                2.902312331125353e-06,
                9.422447062202052e-07,
                1.0677028700266676e-06
            ],
            [
                0.9984988176773026,
                0.9992903297011246,
                0.989013056721729,
                0.9997388095658684,
                0.9890130599398776,
                0.9996200155601113,
                0.9971990724931176,
                0.982013790926191,
                0.999088948759982,
                0.9992903294472179
            ],
            [
                0.9999980052705163,
                0.9999957771655487,
                0.999999057755743,
                0.9999984465015047,
                0.9999977396751633,
                0.9999962733611603,
                0.999998446502801,
                0.9999952149032236,
                0.9999987901341723,
                0.9999930377445801
            ],
            [
                0.9989677690364717,
                0.9465966720833627,
                0.9959298615309549,
                0.9991959142337584,
                0.9796676465460354,
                0.9995694429093314,
                0.9241418205010699,
                0.9959298615460556,
                0.9947798742653335,
                0.9840936094836096
            ],
            [
                0.9999986290424663,
                0.9999982396565767,
                0.9999967112517189,
                0.9999989322968753,
                0.9999980052709919,
                0.999996273360716,
                0.9999974387184,
                0.9999987901343165,
                0.9999980052702785,
                0.9999980052693274
            ],
            [
                0.9995121428214164,
                0.9999151889889644,
                0.9997694932021598,
                0.9999339478395824,
                0.9998911030907593,
                0.9999810748540146,
                0.9999785550464758,
                0.9999724642990546,
                0.9999251537459666,
                0.9999687980923457
            ],
            [
                0.9990889486499916,
                0.9988304899986284,
                0.999841563726562,
                0.9996646500092494,
                0.9995694428587786,
                0.9997694933394873,
                0.9984988176947525,
                0.9999339478553236,
                0.9993736658958138,
                0.9995121427637702
            ],
            [
                0.9999980052693274,
                0.9999977396765105,
                0.9999952149049349,
                0.9999987901338838,
                0.9999930377420906,
                0.9999989322975118,
                0.9999938558253981,
                0.9999994284995529,
                0.9999982396561571,
                0.9999989322973846
            ],
            [
                0.9999599362982634,
                0.9999952149037941,
                0.9999810748540162,
                0.9999986290432835,
                0.9999930377437503,
                0.9999980052709918,
                0.9999980052705163,
                0.9999987901341723,
                0.9999599363125883,
                0.9999945777816766
            ],
            [
                0.9999984465022455,
                0.9999986290432834,
                0.9999990577554061,
                0.9999989322966208,
                0.9999986290421394,
                0.9999974387184,
                0.9999970976883609,
                0.9999980052709918,
                0.999999266178932,
                0.9999957771665555
            ],
            [
                0.9999546021205351,
                0.9999038975392034,
                0.9999646437366474,
                0.9999485577863476,
                0.9999485577802159,
                0.9999546021367691,
                0.9999832985761646,
                0.9999832985841289,
                0.9999756997679573,
                0.9999599363221412
            ],
            [
                0.9999724642990537,
                0.9999910603026304,
                0.9999832985841286,
                0.9999810748562709,
                0.9999930377462403,
                0.9999810748472471,
                0.9999898700066053,
                0.9999938558275954,
                0.9999885212305063,
                0.9999910603068931
            ],
            [
                0.9999987901341723,
                0.9999910603026305,
                0.9999994284996211,
                0.9999989322970027,
                0.9999992661787571,
                0.9999977396762411,
                0.9999986290431201,
                0.9999996072138465,
                0.9999986290423029,
                0.9999993524053562
            ],
            [
                0.9999151889788414,
                0.9995121428226936,
                0.9999687980923481,
                0.9998911031037133,
                0.9997388096903431,
                0.9980732650604178,
                0.9997040428649165,
                0.9998204719481504,
                0.9988304895853558,
                0.998967768791463
            ],
            [
                0.9999994956525918,
                0.9999974387171787,
                0.9999995549150541,
                0.9999967112501505,
                0.9999756997563736,
                0.9999967112517186,
                0.9999991684715758,
                0.9999994284993486,
                0.9999485577618125,
                0.9999994284996211
            ],
            [
                2.5612834319655406e-06,
                4.222833947932061e-06,
                9.422444815792981e-07,
                1.0677031245990084e-06,
                9.422450431989127e-07,
                1.7603427936263351e-06,
                1.9947297215043796e-06,
                1.9947299592933255e-06,
                2.902311985146426e-06,
                3.9278610661902853e-07
            ],
            [
                0.998299277658534,
                0.9990889487591873,
                0.9999038975391845,
                0.999704042935354,
                0.9982992774620665,
                0.9980732650888492,
                0.9992903295334084,
                0.9991959140445419,
                0.9940889298166576,
                0.998498818037467
            ],
            [
                0.9924227575485671,
                0.9982992774759022,
                0.9968273178739874,
                0.9890130549810948,
                0.9465966741548683,
                0.9959298616007958,
                0.9706877723225209,
                0.9740426415306563,
                0.9933071481593753,
                0.9706877659627745
            ],
            [
                0.9999957771670588,
                0.9999957771655488,
                0.9999869928684348,
                0.9999945777829693,
                0.9999724643056184,
                0.9999810748562726,
                0.9999957771680658,
                0.9999756997621647,
                0.9999957771645418,
                0.9999957771650453
            ],
            [
                0.9999957771665555,
                0.9999967112501504,
                0.9999980052693274,
                0.9999970976883608,
                0.9999982396565769,
                0.9999967112509347,
                0.9999970976883609,
                0.9999945777790911,
                0.9999952149037941,
                0.9999546021313533
            ],
            [
                0.9796676458782007,
                0.9669140230414183,
                0.9890130556388926,
                0.9525741291785795,
                4.0063701736593515e-05,
                0.7549149813536518,
                0.731058584489497,
                0.9706877677647029,
                0.9706877660687703,
                0.9859363759010484
            ],
            [
                0.9999991684721706,
                0.9999991684719723,
                0.9999990577552937,
                0.999998629042303,
                0.999999266179107,
                0.9999992661790195,
                0.9999991684720715,
                0.999999554914895,
                0.9999993524052789,
                0.999998790134028
            ],
            [
                0.9999938558275954,
                0.9999982396565769,
                0.9999967112505427,
                0.9999991684717741,
                0.9999974387184,
                0.9999980052709919,
                0.9996646498896129,
                0.9999957771645418,
                0.9999756997592695,
                0.9999957771655487
            ],
            [
                0.9999339478553424,
                0.9999038975391943,
                0.999820471991097,
                0.9999756997679594,
                0.9999869928699852,
                0.9999646437366474,
                0.9999151889688017,
                0.9999646437577169,
                0.9997965729297902,
                0.9975273762822946
            ],
            [
                0.9924227600557788,
                0.9525741271590256,
                0.9859363709293236,
                0.9964063982714487,
                0.992422759110322,
                0.9953904285577544,
                0.9770226274974265,
                0.9986749773458602,
                0.9626731160024469,
                0.9902915229812894
            ],
            [
                0.9998601779092554,
                0.9996200154685885,
                0.9999687980737504,
                0.9999921107355335,
                0.9999599362887088,
                0.999948557798614,
                0.9999546021367691,
                0.9999898700090204,
                0.9999151889283061,
                0.9999546021097148
            ],
            [
                0.9999938558261305,
                0.9999967112513267,
                0.9999974387180947,
                0.9999962733589389,
                0.9999984465018751,
                0.9999962733593831,
                0.9999987901341723,
                0.9999962733611601,
                0.9999974387171787,
                0.9999984465015046
            ],
            [
                0.9999990577549569,
                0.9999996940976636,
                0.999998790134028,
                0.9999987901347491,
                0.9999810748517607,
                0.9999996533672136,
                0.9999986290429566,
                0.9999990577550691,
                0.9999987901343165,
                0.999999352404893
            ],
            [
                0.9924227601643312,
                0.998299277658534,
                0.9706877721635273,
                0.9947798754840665,
                0.9399133454077937,
                0.9525741231199173,
                0.9959298620500425,
                0.9770226296300063,
                0.932453306514029,
                0.8933093946927837
            ],
            [
                0.9999869928761873,
                0.9999962733598274,
                0.9999962733620487,
                0.9999970976887068,
                0.9999994284992805,
                0.9999957771645418,
                0.9999957771680656,
                0.9999991684719723,
                0.9999967112509346,
                0.9999852610232991
            ],
            [
                0.9999986290429566,
                0.9999990577556307,
                0.9999986290429566,
                0.9999994956527721,
                0.9999994284996893,
                0.999999266178932,
                0.9999990577552937,
                0.999999495652652,
                0.9999885212291378,
                0.9999991684716749
            ],
            [
                0.9991959140423439,
                0.9991959139532072,
                0.9997965730265026,
                0.9997040427592259,
                0.97966764624922,
                0.9998601779092168,
                0.9995694429089681,
                0.9399133559273138,
                0.9859363755782092,
                0.9933071503294908
            ],
            [
                0.9999990577556308,
                0.9999994284996893,
                0.999997438717484,
                0.9999993524052018,
                0.9999990577549569,
                0.9999989322966208,
                0.9999986290429566,
                0.9999986290424663,
                0.999999168471675,
                0.999999168471675
            ],
            [
                0.9999991684715758,
                0.9999986290424663,
                0.9999994284997573,
                0.999999057755743,
                0.9999994956525918,
                0.9999990577555183,
                0.9999993524054334,
                0.9999980052695652,
                0.9999989322966208,
                0.9999977396759716
            ],
            [
                0.9999251537638029,
                0.9999251537905833,
                0.9999485577802075,
                0.9975273771448616,
                0.9999546021259442,
                0.999959936288707,
                0.9998911030907103,
                0.999876605425066,
                0.9999038975391663,
                0.9993736659696304
            ],
            [
                0.9999910603036961,
                0.9999977396748938,
                0.9999977396765105,
                0.9999910603068933,
                0.9999945777790911,
                0.9999980052705163,
                0.9999991684722698,
                0.9999962733602716,
                0.9999967112493664,
                0.99999893229713
            ],
            [
                0.9998766054251287,
                0.9975273765522058,
                0.9991959140457577,
                0.9995694430115392,
                0.9998766053956247,
                0.9996200155144881,
                0.9999546021205307,
                0.9992903296183604,
                0.9997040427595703,
                0.9984988174946029
            ],
            [
                0.9999930377404305,
                0.9999970976866309,
                0.9999957771675622,
                0.9997040427592259,
                0.9999967112497584,
                0.9999980052700408,
                0.9999785550566999,
                0.9999980052707541,
                0.9999952149049348,
                0.9999980052695652
            ],
            [
                0.9999986290426298,
                0.9999994956527121,
                0.999999730042319,
                0.9999994284992805,
                0.9999994284995529,
                0.9999995549149481,
                0.999999057755069,
                0.9999994284997573,
                0.9999996940978825,
                0.9999996533672135
            ],
            [
                0.9999957771680656,
                0.9999967112497584,
                0.9999970976876689,
                0.9999980052698029,
                0.9999984465024306,
                0.9999962733598274,
                0.9999952149037941,
                0.9999957771680656,
                0.9999945777797374,
                0.9999810748517594
            ],
            [
                0.9999962733620487,
                0.9999599363125902,
                0.9999910602994335,
                0.9999970976890528,
                0.9998415637831035,
                0.9999945777810302,
                0.9999957771645418,
                0.9999852610232997,
                0.9999810748449914,
                0.9999485577740902
            ],
            [
                0.9990889489787971,
                0.9989677690447547,
                0.9999417087205654,
                0.9999599363078162,
                0.9999151889586319,
                0.9997694932022637,
                0.9982992774620665,
                0.9999546021367712,
                0.9997040430067387,
                0.9998415638208902
            ],
            [
                0.9988304899993085,
                0.9399133521402868,
                0.977022632682522,
                0.9959298620745812,
                0.9996646498893982,
                0.8519527963298946,
                0.9940889324517004,
                0.9975273765935538,
                0.9978172836302118,
                0.9706877663867577
            ],
            [
                0.9947798737672005,
                0.9975273762736805,
                0.9959298615460556,
                0.9989677689085054,
                0.990291525783873,
                0.9994472213181192,
                0.9890130557299723,
                0.997817283900493,
                0.9975273765757512,
                0.9975273768956245
            ],
            [
                0.9999991684721706,
                0.9999987901347491,
                0.9999977396746244,
                0.999999266178757,
                0.9999993524052018,
                0.9999990577555183,
                0.9999996940976636,
                0.9999970976890528,
                0.9999990577552937,
                0.9999993524052789
            ],
            [
                0.9999921107336527,
                0.9999962733593832,
                0.9999991684720715,
                0.9999977396746242,
                0.9999869928715355,
                0.9999982396559473,
                0.9999967112497585,
                0.9999957771650453,
                0.9999967112493664,
                0.9999962733602717
            ],
            [
                0.9999994284995529,
                0.9999989322972572,
                0.9999989322968753,
                0.9999974387177893,
                0.9999991684720715,
                0.9999991684721706,
                0.9999991684721706,
                0.999998790134028,
                0.9999984465026158,
                0.9999967112505427
            ],
            [
                0.9998415637263615,
                0.9996646498093834,
                0.9999151889485385,
                0.9999546021421849,
                0.9996646500093568,
                0.9997694932028004,
                0.9997694932297292,
                0.9995121428224666,
                0.9997694932572485,
                0.9998415637264352
            ],
            [
                0.9988304898550233,
                0.9978172833802145,
                0.9982992776502325,
                0.9996646497693322,
                0.9796676478075012,
                0.9984988176785242,
                0.9988304899914211,
                0.9964063973468822,
                0.9984988176849806,
                0.9997388097215321
            ],
            [
                2.4300234937239182e-05,
                0.9820137896102168,
                0.8670357649558006,
                0.5312093733737563,
                0.8354835309589073,
                0.9740426418132223,
                0.9626731126558705,
                0.9840936076758948,
                0.9820137876691548,
                0.9525741231199173
            ],
            [
                0.9964063974827744,
                0.9994472212546711,
                0.9964063978954529,
                0.9991959142331036,
                0.9991959140445419,
                0.9991959139525992,
                0.9990889487624192,
                0.9953904283675966,
                0.9149009486120849,
                0.9986749775143893
            ],
            [
                0.9992903297028585,
                0.9999885212277693,
                0.9999546021367668,
                0.9999687980811879,
                0.9997965729539469,
                0.999991060303696,
                0.999820471948213,
                0.9999852610180288,
                0.9999546021097124,
                0.9999251537995039
            ],
            [
                0.9999485577986111,
                0.999903897550639,
                0.9947798750367142,
                0.9999810748427347,
                0.9999417087066621,
                0.9999485577986083,
                0.9993736658948665,
                0.9999251537817047,
                0.9999646437492865,
                0.9988304895814121
            ],
            [
                0.9999646437324261,
                0.9998911030647294,
                0.9998911030906983,
                0.9997694933120218,
                0.999903897550639,
                0.9995121429375036,
                0.9997388096905482,
                0.9997388095657999,
                0.9999485577618096,
                0.9994472212543818
            ]
        ]
    },
    {
        "q_id": "10539_mmlu_computer science",
        "cot_ids": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999999694097846,
                0.9999997897566589,
                0.9999997300420937,
                0.9999997617630332,
                0.9999997617630616,
                0.999999168471675,
                0.9999998144609202,
                0.9999992661788445,
                0.9999991684718733,
                0.9999998555019618
            ],
            [
                0.9999999317439383,
                0.9999998144609645,
                0.9999997617629764,
                0.9999997897566089,
                0.9999998874647306,
                0.9999999006880312,
                0.9999997617629764,
                0.9999998724809419,
                0.9999998144609202,
                0.999999855501979
            ],
            [
                0.9999997617631183,
                0.9999998724808963,
                0.9999997897565838,
                0.9999997300422869,
                0.9999998724809875,
                0.9999997617630616,
                0.9999998362622746,
                0.9999997897566338,
                0.9999996072138465,
                0.9999998144608317
            ],
            [
                0.9999998724809875,
                0.999999855501979,
                0.9999999006880075,
                0.9999999006879721,
                0.9999998724809571,
                0.9999998144608097,
                0.9999999006879721,
                0.9999998874647709,
                0.999999653367379,
                0.9999998874647574
            ],
            [
                0.9999998362623723,
                0.9999998555020306,
                0.9999997617629764,
                0.9999999226557776,
                0.9999996940978095,
                0.999999814460876,
                0.9999998144609645,
                0.999999814460876,
                0.999999900688043,
                0.9999997617631752
            ],
            [
                0.9999999006880075,
                0.9999999397642868,
                0.9999998362623723,
                0.9999998555020307,
                0.9999997897566338,
                0.9999999006880904,
                0.9999997300420937,
                0.9999998362623722,
                0.9999997617630616,
                0.9999999226558053
            ],
            [
                0.9999997617631752,
                0.9999995549147889,
                0.999999855501979,
                0.9999998362622746,
                0.9999999006880549,
                0.9999998362622942,
                0.999999814460876,
                0.9999999123574628,
                0.9999998874647842,
                0.9999999317440116
            ],
            [
                0.9999998144609645,
                0.9999998144609202,
                0.9999999006880549,
                0.9999997897567091,
                0.9999999226557776,
                0.9999998362622746,
                0.9999999006881496,
                0.9999998555019962,
                0.9999996072137998,
                0.9999995549149481
            ],
            [
                0.9999996940978825,
                0.9999998144609645,
                0.999999730042126,
                0.9999994956527722,
                0.999999694097846,
                0.9999997617630616,
                0.9999997300421581,
                0.9999991684717741,
                0.9999997617630332,
                0.9999997897567091
            ],
            [
                0.9999999317439464,
                0.9999999123574836,
                0.9999998362623332,
                0.9999998144609424,
                0.9999998362622357,
                0.999999730042319,
                0.9999998144609644,
                0.9999994956526519,
                0.9999996533674202,
                0.9999994956527121
            ],
            [
                1.0677031245710902e-06,
                1.3709568797522746e-06,
                5.422219614438727e-06,
                1.9947294834796172e-06,
                4.222833444106873e-06,
                1.3709568798420497e-06,
                2.260324027864602e-06,
                8.939699498814873e-06,
                1.0129989769188164e-05,
                2.561282515914161e-06
            ],
            [
                0.999999814460854,
                0.9999999006880194,
                0.9999999123574732,
                0.9999996533674201,
                0.9999997300422225,
                0.9999999006879838,
                0.9999997617631183,
                0.9999998555020306,
                0.9999997897566589,
                0.9999998724810027
            ],
            [
                0.9999996940978095,
                0.9999998724808964,
                0.9999994956525317,
                0.9999996533673375,
                0.9999998555019274,
                0.9999997897567091,
                0.9999995549149481,
                0.9999997617629764,
                0.9999994956527121,
                0.9999996940978095
            ],
            [
                0.9999999226557592,
                0.9999994284995529,
                0.9999999006881377,
                0.9999998555019446,
                0.999999855501979,
                0.9999999226557592,
                0.9999997897566089,
                0.9999998874647976,
                0.9999998144609423,
                0.9999992661792819
            ],
            [
                0.999999694097846,
                0.9999998144608317,
                0.9999995549149481,
                0.9999995549147359,
                0.9999998144609202,
                0.999999789756684,
                0.9999997897566089,
                0.9999993524053563,
                0.9999996072139402,
                0.9999997617630899
            ],
            [
                0.9999990577552939,
                0.9999997617631752,
                0.9999989322966208,
                0.9999994284996891,
                0.9999997617630332,
                0.9999998362622552,
                0.9999994284996891,
                0.9999998555020135,
                0.9999996940976271,
                0.9999998724809116
            ],
            [
                0.9999982396559474,
                0.9999997617630616,
                0.9999994284996211,
                0.9999997617629764,
                0.9999990577552937,
                0.9999997300421581,
                0.9999991684717742,
                0.9999996072137061,
                0.9999994956527721,
                0.9999996072138465
            ],
            [
                0.999999730042126,
                0.9999996072136592,
                0.9999997617630049,
                0.9999997897565838,
                0.9999999006880904,
                0.999999855502048,
                0.9999996533672135,
                0.9999998362623528,
                0.9999999226557408,
                0.9999997617630332
            ],
            [
                0.9999997897566089,
                0.9999998362623137,
                0.9999998555019618,
                0.999999967758149,
                0.9999999468421439,
                0.9999996533674614,
                0.9999999123575359,
                0.9999998555019962,
                0.9999998555020134,
                0.999999900688043
            ],
            [
                0.9999997300420937,
                0.9999996533674615,
                0.9999998874647842,
                0.9999998144608317,
                0.999999789756634,
                0.9999996940978095,
                0.999999554914789,
                0.9999997897565838,
                0.9999994956527121,
                0.999999694097773
            ],
            [
                0.9999998555019274,
                0.9999996533674201,
                0.9999997617631183,
                0.9999998362622942,
                0.999999554914895,
                0.9999993524051246,
                0.999999730042126,
                0.99999862904312,
                0.9999998144609645,
                0.9999998144608981
            ],
            [
                3.2887502412970765e-06,
                4.7850956351657615e-06,
                6.144176066521288e-06,
                4.0063692165808155e-05,
                2.2603245672025095e-06,
                1.473898899742027e-05,
                7.889259763326495e-06,
                1.3709568798420497e-06,
                2.5612828207295832e-06,
                1.012999459934851e-05
            ],
            [
                0.9999998362623528,
                0.9999998724809723,
                0.9999997617631469,
                0.9999999006879838,
                0.9999998724810027,
                0.9999998555019446,
                0.9999998144608319,
                0.9999999397642437,
                0.9999999123574732,
                0.9999996072138934
            ],
            [
                0.9999999226557592,
                0.999999694097846,
                0.9999998362623332,
                0.9999998144608538,
                0.9999998724809267,
                0.9999997300420937,
                0.9999999123574732,
                0.9999998724809723,
                0.9999998555020135,
                0.99999976176309
            ],
            [
                3.726637951079042e-06,
                5.8291258534985854e-05,
                2.260323489266892e-06,
                7.484623604187633e-05,
                5.422220907426478e-06,
                1.670142183825232e-05,
                1.8925152736303473e-05,
                1.4738987235622935e-05,
                1.300712690556288e-05,
                4.222832940162684e-06
            ],
            [
                0.9999996533673375,
                0.9999996533675028,
                0.999999730042319,
                0.9999996940978825,
                0.9999998362623137,
                0.9999997617631752,
                0.9999996940978095,
                0.9999997300421581,
                0.9999998144609202,
                0.9999997897566089
            ],
            [
                0.999999789756684,
                0.9999998362623332,
                0.999999855502048,
                0.9999997617630049,
                0.9999998144608538,
                0.9999996072136592,
                0.9999997897567341,
                0.9999997617630899,
                0.9999989322966208,
                0.9999998144608981
            ],
            [
                0.9999997897566089,
                0.9999996940978095,
                0.9999999006880549,
                0.9999997617630332,
                0.9999993524053562,
                0.9999993524049703,
                0.9999995549150011,
                0.999999789756634,
                0.9999998362622552,
                0.9999999006880549
            ],
            [
                0.9999998724809419,
                0.9999997897566338,
                0.9999999123574523,
                0.9999999006879721,
                0.9999998724808964,
                0.9999998362622746,
                0.9999998724809267,
                0.999999814460854,
                0.9999999006879838,
                0.999999694097846
            ],
            [
                0.9999998362623138,
                0.9999997617630332,
                0.9999998144608097,
                0.999999855502048,
                0.9999996940976271,
                0.9999998555019962,
                0.9999998362622943,
                0.999999814460876,
                0.999999814460854,
                0.999999814460876
            ],
            [
                0.999999653367379,
                0.9999993524051246,
                0.9999996533675028,
                0.9999997300422225,
                0.9999995549151073,
                0.9999997300421581,
                0.9999993524049703,
                0.9999998362623332,
                0.999999730042319,
                0.9999996533674201
            ],
            [
                0.9999998144609423,
                0.9999998362623332,
                0.9999997617631469,
                0.9999998555019618,
                0.9999998144609645,
                0.9999999226557224,
                0.9999996072136125,
                0.9999998874647306,
                0.9999998362622942,
                0.9999999123575359
            ],
            [
                0.9999997300422225,
                0.9999998362623137,
                0.9999996940976271,
                0.9999997897566338,
                0.9999996072137998,
                0.9999998555020135,
                0.9999997617631183,
                0.9999996940977002,
                0.9999996940978095,
                0.9999998724809267
            ],
            [
                0.9999986290427932,
                0.9999992661786696,
                0.999998005270992,
                0.9999990577551815,
                0.9999991684717741,
                0.9999952149055057,
                0.999997097688707,
                0.9999990577556308,
                0.9999986290431201,
                0.999997097686977
            ],
            [
                0.9999997617629763,
                0.999999953088362,
                0.9999999006880194,
                0.9999999226557684,
                0.9999997300422547,
                0.9999997617630616,
                0.9999999226557224,
                0.9999999123574419,
                0.9999997300422869,
                0.9999999226558515
            ],
            [
                0.9999980052695652,
                0.9999970976887068,
                0.9999974387168734,
                0.9999885212291387,
                0.9999977396754327,
                0.9999967112501507,
                0.999993855826131,
                0.9999974387168734,
                0.9999980052693274,
                0.9999967112517189
            ],
            [
                0.9999997897566589,
                0.9999998724809723,
                0.9999998724809875,
                0.9999996072137529,
                0.9999999317439302,
                0.999999495652712,
                0.9999997617631184,
                0.999999855501979,
                0.9999998724809267,
                0.9999997897565587
            ],
            [
                0.9999999123574941,
                0.9999999397642293,
                0.9999997617631469,
                0.9999998555019274,
                0.9999999317440197,
                0.9999996940977366,
                0.9999998874648648,
                0.9999998144609644,
                0.999999900688043,
                0.9999997897567341
            ],
            [
                0.9999998555019962,
                0.9999998362623332,
                0.9999997300421903,
                0.9999995549147889,
                0.9999998144609423,
                0.9999996940977366,
                0.9999997300422547,
                0.9999998724809571,
                0.999999789756634,
                0.9999996533672549
            ],
            [
                0.9999996072136592,
                0.9999993524050474,
                0.9999994284995529,
                0.999999168471675,
                0.9999993524053562,
                0.9999996940978095,
                0.9999996072139402,
                0.9999996533674614,
                0.9999996533673788,
                0.9999993524049703
            ],
            [
                0.9999997617629763,
                0.9999998144608097,
                0.9999996940976636,
                0.9999996072138465,
                0.999999694097846,
                0.9999996072137061,
                0.9999998362623723,
                0.9999998555019446,
                0.9999999226557776,
                0.9999996072138465
            ],
            [
                7.338207180454308e-07,
                9.422442568548903e-07,
                1.553497198826904e-06,
                4.222833947029514e-06,
                2.5612819048205203e-06,
                5.4222209064007344e-06,
                4.785095063826755e-06,
                4.785093922889744e-06,
                1.3709573701812335e-06,
                2.5612831261041147e-06
            ],
            [
                0.9999997617630616,
                0.9999996533674201,
                0.9999996940976271,
                0.9999997897567091,
                0.9999998362622942,
                0.9999999123574836,
                0.9999997300422547,
                0.9999996072136125,
                0.999999814460876,
                0.9999998144608098
            ],
            [
                0.9999998144608981,
                0.999999814460854,
                0.9999992661788445,
                0.9999996072136592,
                0.9999998724809419,
                0.9999997897565587,
                0.9999997617631183,
                0.9999997897566089,
                0.9999998555020134,
                0.9999998874648246
            ],
            [
                0.9999994284996211,
                0.9999998362623332,
                0.9999997897566338,
                0.9999997897566589,
                0.999999887464811,
                0.999999855501979,
                0.9999997897565587,
                0.9999996072139402,
                0.9999997617631752,
                0.9999997897567341
            ],
            [
                0.9999999123574628,
                0.9999999586006344,
                0.9999998362622357,
                0.9999997617630332,
                0.9999999397642222,
                0.9999999123574941,
                0.9999997617630332,
                0.9999993524053563,
                0.9999998874647306,
                0.9999999006879838
            ],
            [
                0.9999999006880549,
                0.9999994956525317,
                0.9999997300422869,
                0.9999998724809419,
                0.9999997617629764,
                0.9999997617629764,
                0.9999996940978825,
                0.9999998362622552,
                0.9999998724808963,
                0.9999997300422225
            ],
            [
                0.9999998362623332,
                0.9999998874649184,
                0.9999999397642365,
                0.9999999006881022,
                0.9999998555019446,
                0.9999998874648379,
                0.9999996940976272,
                0.9999999397643011,
                0.9999998362622552,
                0.9999998144609202
            ],
            [
                0.9999999317439546,
                0.9999998555020307,
                0.9999996940978095,
                0.9999996533675028,
                0.9999993524052019,
                0.9999998144609202,
                0.9999997897567091,
                0.9999995549151073,
                0.9999997897565587,
                0.9999998144609423
            ],
            [
                0.9999991684718732,
                0.999999855502048,
                0.9999997300422547,
                0.9999996533674202,
                0.9999996940977366,
                0.9999999006879721,
                0.9999997897567091,
                0.9999997300422547,
                0.9999994956527721,
                0.9999993524050474
            ],
            [
                0.9999998555019274,
                0.999999730042126,
                0.9999999006880668,
                0.9999998555020135,
                0.9999997897565587,
                0.9999999226557224,
                0.9999997617630616,
                0.99999976176309,
                0.9999997617631183,
                0.999999730042126
            ],
            [
                0.9999998555019618,
                0.9999996940977001,
                0.9999996533673788,
                0.9999998555020306,
                0.9999996072139402,
                0.9999998874648245,
                0.9999996533674614,
                0.9999997617630616,
                0.999999266178932,
                0.9999997300422547
            ],
            [
                0.9999996072136592,
                0.999999694097846,
                0.9999998144608097,
                0.9999998362622552,
                0.9999999123574523,
                0.9999998362623528,
                0.9999998362623137,
                0.9999997897565838,
                0.9999997617630616,
                0.9999998362622942
            ],
            [
                0.9999994956524114,
                0.9999994956524716,
                0.9999993524052019,
                0.9999996533674202,
                0.9999994956525317,
                0.9999989322968754,
                0.9999994956525317,
                0.9999994956523514,
                0.9999996072136592,
                0.9999998144609423
            ],
            [
                0.9999998555019618,
                0.9999997617631752,
                0.9999996940978095,
                0.9999997300422869,
                0.9999998362622357,
                0.9999996940977002,
                0.9999998144609423,
                0.9999999123575881,
                0.9999996072136125,
                0.9999998362623138
            ],
            [
                0.999999730042126,
                0.9999998362622552,
                0.9999999006879957,
                0.9999997897567341,
                0.9999994284993485,
                0.9999998362623137,
                0.9999996533673375,
                0.9999997897566089,
                0.9999998555020135,
                0.9999997897566338
            ],
            [
                0.9999999317439139,
                0.9999996533672962,
                0.999999554914842,
                0.9999996533673788,
                0.9999996533672135,
                0.9999993524051246,
                0.999999554914895,
                0.9999996940976636,
                0.9999998362622357,
                0.9999993524050474
            ],
            [
                0.9999996940977366,
                0.9999998724809267,
                0.999999855501979,
                0.999999789756684,
                0.9999998144609423,
                0.9999997617631468,
                0.9999998724808963,
                0.9999997300420937,
                0.999999694097773,
                0.9999998362622942
            ],
            [
                0.9999997897565587,
                0.9999999123574732,
                0.9999998144608097,
                0.999999789756634,
                0.9999996533675028,
                0.9999997897566589,
                0.9999996072139402,
                0.9999998874649051,
                0.999999554914895,
                0.9999999006879838
            ],
            [
                0.9999998724809267,
                0.9999999006881022,
                0.9999998555020307,
                0.9999998874649318,
                0.9999998144608981,
                0.9999998362622942,
                0.9999996072136592,
                0.999999855501979,
                0.9999997617629764,
                0.9999998555019618
            ],
            [
                0.9999998362622942,
                0.9999998362622942,
                0.9999999123575045,
                0.9999998144608097,
                0.999999855501979,
                0.9999997300422869,
                0.9999998724808963,
                0.9999998144608981,
                0.9999998874647306,
                0.9999998555020135
            ],
            [
                0.9999998144609202,
                0.999999887464744,
                0.9999997300422225,
                0.9999998362623528,
                0.9999998724808964,
                0.9999998144609202,
                0.9999998724809267,
                0.9999998555019274,
                0.9999998555019274,
                0.9999997897565587
            ],
            [
                0.9999994284995529,
                0.9999997617631752,
                0.999999554914895,
                0.9999999226557776,
                0.9999995549151073,
                0.9999998555019446,
                0.999999855501979,
                0.9999997300421903,
                0.9999997300421903,
                0.9999994956527121
            ],
            [
                0.999999554914895,
                0.9999996072137529,
                0.9999998874647574,
                0.9999996533672549,
                0.9999996533672136,
                0.9999999006879838,
                0.9999992661788446,
                0.9999998362623137,
                0.999999730042319,
                0.9999996072138934
            ],
            [
                0.9999998362622746,
                0.999999789756634,
                0.9999996940976636,
                0.9999999530883508,
                0.9999997897565838,
                0.999999855501979,
                0.9999996072137998,
                0.9999999006881496,
                0.9999998555020307,
                0.9999999317439546
            ],
            [
                0.9999998555019963,
                0.999999694097846,
                0.9999998362622552,
                0.9999997300421581,
                0.9999998874647306,
                0.9999998362623137,
                0.9999997300422869,
                0.9999996072138934,
                0.9999997300420937,
                0.9999996533672962
            ],
            [
                0.9999997617630048,
                0.999999814460876,
                0.9999996072139402,
                0.9999997300420937,
                0.9999997897567091,
                0.9999998144608317,
                0.9999991684720715,
                0.9999998362622357,
                0.9999996940977002,
                0.999999694097846
            ],
            [
                0.9999998724809723,
                0.9999999397642725,
                0.9999997617630332,
                0.999999789756634,
                0.9999996533672135,
                0.9999997300422547,
                0.999999931743979,
                0.9999998555019962,
                0.9999998362622942,
                0.9999998362623332
            ],
            [
                0.9999998362622357,
                0.9999996533674615,
                0.9999998362623332,
                0.999999694097846,
                0.999999855502048,
                0.9999996940978095,
                0.9999991684722697,
                0.9999999006880194,
                0.9999997300421903,
                0.9999997617630616
            ],
            [
                0.9999998724809875,
                0.9999998362622942,
                0.9999999123575777,
                0.9999998724809875,
                0.9999998724809875,
                0.9999999226557131,
                0.9999995549151073,
                0.9999998362622357,
                0.9999997300422869,
                0.9999998362623723
            ],
            [
                0.9999998874647306,
                0.9999998362622943,
                0.9999996072137529,
                0.9999998724808964,
                0.9999997617630332,
                0.9999998144609423,
                0.999999789756684,
                0.9999999397642653,
                0.9999999226557869,
                0.9999997300420937
            ],
            [
                4.222833947498071e-06,
                5.422218968714274e-06,
                3.7266397280960194e-06,
                2.5612812943280275e-06,
                NaN,
                2.1444958625381407e-05,
                6.962257908044647e-06,
                4.222833443046859e-06,
                3.288748280891699e-06,
                4.0063696899461064e-05
            ],
            [
                0.9999998724809115,
                0.9999998874647842,
                0.9999992661790195,
                0.9999998144608317,
                0.9999994956527121,
                0.999999730042126,
                0.999999814460876,
                0.9999997617630049,
                0.9999998362623528,
                0.9999998874648647
            ],
            [
                0.9999998874647709,
                0.9999997897566589,
                0.9999999123575359,
                0.9999998144609202,
                0.9999998874648781,
                0.9999999123574628,
                0.9999999006880075,
                0.9999999397642796,
                0.9999996940978095,
                0.999999900688043
            ],
            [
                0.9999994284996211,
                0.999999931743979,
                0.9999999123574836,
                0.9999998874647842,
                0.9999997300422869,
                0.9999998874647574,
                0.9999998724809571,
                0.9999996072136125,
                0.9999996072136592,
                0.9999998362622942
            ],
            [
                0.9999998874647574,
                0.9999998144609423,
                0.9999998362623137,
                0.9999997897567342,
                0.9999999006880194,
                0.9999998555020307,
                0.9999999468421565,
                0.9999996940976272,
                0.9999997897566589,
                0.9999994956526519
            ],
            [
                0.9999999397642868,
                0.9999999123574732,
                0.9999998362623137,
                0.9999998144608538,
                0.9999999123575255,
                0.9999998555020307,
                0.9999999006880194,
                0.999999789756634,
                0.9999998362623722,
                0.9999999006880312
            ],
            [
                0.9999997300420937,
                0.999999730042126,
                0.9999998144609423,
                0.9999999006880312,
                0.9999998362623723,
                0.9999995549148419,
                0.9999998555019962,
                0.9999996940978825,
                0.9999997300422547,
                0.9999997897565838
            ],
            [
                0.9999998362623332,
                0.9999998555020307,
                0.9999998555019962,
                0.9999996533672549,
                0.999999789756684,
                0.9999998555019962,
                0.9999998362622357,
                0.9999998144608981,
                0.999999495652712,
                0.9999999006881377
            ],
            [
                0.9999997300422869,
                0.9999994956526519,
                0.9999995549147358,
                0.9999997617631468,
                0.9999997617630616,
                0.999999694097773,
                0.9999996940976271,
                0.9999998555019618,
                0.9999994956524114,
                0.9999995549147359
            ],
            [
                0.9999999006880312,
                0.9999999317439627,
                0.999999855502048,
                0.9999996940977366,
                0.9999998724809115,
                0.9999997617631183,
                0.9999995549150011,
                0.9999997617630616,
                0.9999997897565838,
                0.999999855501979
            ],
            [
                0.9999999006881259,
                0.9999999397642293,
                0.9999996940978461,
                0.9999996533672549,
                0.9999999123574836,
                0.9999998555019274,
                0.9999998874648782,
                0.9999996072139402,
                0.999999887464744,
                0.9999998144608317
            ],
            [
                0.999999814460876,
                0.9999998362622942,
                0.9999991684719723,
                0.9999992661791944,
                0.9999990577557432,
                0.9999997300420937,
                0.9999952149066464,
                0.9999998144609645,
                0.999999694097846,
                0.9999999006880668
            ],
            [
                0.9999998874648245,
                0.9999994284994167,
                0.9999997300421903,
                0.9999998362622357,
                0.999999694097846,
                0.9999997617631469,
                0.9999998362622357,
                0.9999994284995529,
                0.9999998555020307,
                0.9999999006880904
            ],
            [
                0.9999998724809723,
                0.9999993524051246,
                0.9999998874648648,
                0.9999998724809571,
                0.9999999226557316,
                0.9999998874649318,
                0.9999998362622746,
                0.9999996533673788,
                0.9999998362622942,
                0.9999997300422869
            ],
            [
                0.9999998362622942,
                0.9999996940977366,
                0.9999991684720715,
                0.9999999123574836,
                0.999999814460876,
                0.9999998724809723,
                0.9999996940977002,
                0.9999998724809875,
                0.9999999317439139,
                0.9999997897566589
            ],
            [
                0.9999997617630332,
                0.9999993524052789,
                0.9999997897565587,
                0.9999997617630048,
                0.9999998362622357,
                0.9999998555019962,
                0.9999999226557961,
                0.9999997617631469,
                0.999999931743979,
                0.9999996072137998
            ],
            [
                2.7535697639856078e-05,
                2.902311292371731e-06,
                2.9023116382740264e-06,
                3.7266397281434697e-06,
                5.4222176755001384e-06,
                2.9023130220947882e-06,
                6.144176063425502e-06,
                2.5612815995532906e-06,
                4.5397857790051276e-05,
                2.9023116384746377e-06
            ],
            [
                0.9999997300420937,
                0.9999997617630616,
                0.9999998362622746,
                0.9999999317439302,
                0.9999998362622357,
                0.999999814460876,
                0.999999730042319,
                0.9999996533675028,
                0.999999789756684,
                0.9999998724809875
            ],
            [
                0.9999998362622357,
                0.9999994956524716,
                0.9999995549148419,
                0.999999814460876,
                0.9999995549150542,
                0.9999996940978095,
                0.9999994956526519,
                0.999999554914895,
                0.999999730042126,
                0.999999694097846
            ],
            [
                1.5534971985923634e-06,
                1.3709570431554246e-06,
                1.7603432129550385e-06,
                1.760344052331604e-06,
                1.3709578604495207e-06,
                9.422447060908033e-07,
                5.715004469900632e-07,
                8.31528424064506e-07,
                4.450849988254223e-07,
                1.3709573697597891e-06
            ],
            [
                0.9999995549151073,
                0.9999991684718732,
                0.9999986290424663,
                0.9999997300421903,
                0.9999995549149481,
                0.9999994956525918,
                0.9999995549151073,
                0.9999994284994849,
                0.9999997300421903,
                0.9999996940977002
            ],
            [
                0.9999996940976271,
                0.999999730042319,
                0.9999997617629763,
                0.999999814460876,
                0.9999994956527121,
                0.9999998724809571,
                0.9999996072137529,
                0.999999814460876,
                0.9999997617630899,
                0.9999998555020306
            ],
            [
                0.9999998144608538,
                0.9999994284995529,
                0.9999984465016899,
                0.999999789756684,
                0.9999994956525918,
                0.9999993524050474,
                0.9999997300421581,
                0.9999996940977001,
                0.9999998555019446,
                0.9999997617630616
            ],
            [
                0.9999994956527121,
                0.9999997897567342,
                0.9999997897567091,
                0.9999996072138465,
                0.9999998362623137,
                0.9999998362623722,
                0.999999814460876,
                0.9999997300422869,
                0.9999995549150011,
                0.9999997300420937
            ],
            [
                0.999999814460876,
                0.9999998874648246,
                0.9999997617629764,
                0.9999998724808964,
                0.999999554914789,
                0.9999994956525317,
                0.9999998874649051,
                0.9999998555019962,
                0.9999997617631469,
                0.9999998724809875
            ],
            [
                0.9999998362622357,
                0.9999999006880312,
                0.9999997617630616,
                0.9999997617630049,
                0.9999998144608098,
                0.9999998724809723,
                0.9999998144609645,
                0.999999789756684,
                0.9999996533674202,
                0.9999994956526519
            ],
            [
                0.9999999123575255,
                0.999999789756634,
                0.9999995549149481,
                0.9999998555020135,
                0.9999999006880075,
                0.9999999397642725,
                0.9999998362623137,
                0.9999997897565838,
                0.9999997617629763,
                0.999999814460876
            ],
            [
                0.9999997897567341,
                0.999999554914895,
                0.9999997897566338,
                0.9999996940976636,
                0.9999998874649318,
                0.9999995549147359,
                0.9999993524049703,
                0.9999997897567091,
                0.9999996533673375,
                0.9999996072139402
            ],
            [
                0.9999994956524715,
                0.9999999397642868,
                0.9999998874647976,
                0.9999996533673788,
                0.9999996533672962,
                0.999999814460854,
                0.9999997300422547,
                0.9999997617631752,
                0.999999730042126,
                0.9999997617630049
            ],
            [
                0.9999994284996891,
                0.9999995549149481,
                0.9999997300422869,
                0.9999998144608317,
                0.9999994956524114,
                0.9999998555019962,
                0.9999999006881377,
                0.9999998724809723,
                0.9999998362623332,
                0.9999999006880194
            ],
            [
                0.9999999123574732,
                0.9999999397642437,
                0.9999998724810027,
                0.9999999123574628,
                0.9999999006879721,
                0.9999997897566589,
                0.9999999226557316,
                0.9999998874647842,
                0.9999999226557592,
                0.9999998874647574
            ],
            [
                0.9999998144608981,
                0.9999998362623137,
                0.9999998362622552,
                0.9999997617631752,
                0.9999996533675028,
                0.9999998724809267,
                0.9999998144608097,
                0.9999998362623528,
                0.9999999006879838,
                0.9999998724809875
            ],
            [
                0.9999997897566089,
                0.9999999006879721,
                0.9999998362623722,
                0.9999998555019962,
                0.9999997897565587,
                0.9999998555019618,
                0.9999998874648647,
                0.9999994956523514,
                0.9999999123574523,
                0.9999996940978825
            ],
            [
                0.9999996533674614,
                0.9999997300422869,
                0.9999997897565838,
                0.9999993524051246,
                0.999999789756634,
                0.9999997300420937,
                0.9999996533674615,
                0.9999998144608981,
                0.9999998144609644,
                0.9999992661788445
            ],
            [
                0.999999887464744,
                0.9999997617631752,
                0.9999998555019274,
                0.999999855501979,
                0.9999997617629763,
                0.9999998555020135,
                0.9999996533674201,
                0.9999996940977366,
                0.9999998874647306,
                0.9999998724809723
            ],
            [
                0.9999994956527121,
                0.9999996533672962,
                0.9999998555020307,
                0.9999993524051246,
                0.9999997300421581,
                0.9999996940977002,
                0.9999998555019618,
                0.9999990577549568,
                0.9999996533675028,
                0.9999996072136592
            ],
            [
                0.9999994956525918,
                0.9999998724809419,
                0.9999996072137998,
                0.9999996940978825,
                0.9999998362622552,
                0.999999554914895,
                0.9999996533674615,
                0.999999789756684,
                0.9999997897565587,
                0.9999994284994849
            ],
            [
                0.9999999397642222,
                0.99999976176309,
                0.9999996533673788,
                0.9999998555019446,
                0.999999939764294,
                0.9999997617631184,
                0.9999998144608097,
                0.9999998874647709,
                0.999999900688043,
                0.9999998362622747
            ],
            [
                0.999999694097846,
                0.9999998144609644,
                0.9999998555020135,
                0.9999999123575045,
                0.9999996533672136,
                0.9999997897566089,
                0.9999998874649318,
                0.999999730042126,
                0.9999998555019446,
                0.9999997897566089
            ],
            [
                0.9999996533674614,
                0.9999996072137998,
                0.999999814460876,
                0.999999730042126,
                0.99999992265575,
                0.9999998724810027,
                0.9999999123575255,
                0.9999997897566589,
                0.9999996533674201,
                0.9999996940977002
            ],
            [
                0.9995121428891386,
                0.9999832985841317,
                0.9991959141730556,
                0.9997040429033471,
                0.9997965730040507,
                0.9999724642957784,
                0.9999756997534839,
                0.9999832985781602,
                0.9999646437366636,
                0.9998911031038805
            ],
            [
                0.9999999226557316,
                0.9999999006881377,
                0.9999997897566589,
                0.9999999006879838,
                0.9999997300420937,
                0.9999999317439383,
                0.9999999226557684,
                0.9999997300421903,
                0.9999998362623332,
                0.9999998874647574
            ],
            [
                0.9999998555019274,
                0.9999997897565587,
                0.999999855502048,
                0.9999996072139402,
                0.9999998362622747,
                0.9999998144608097,
                0.9999998724809723,
                0.9999998724809116,
                0.9999995549150542,
                0.999999789756634
            ],
            [
                0.9999997897565838,
                0.9999998362622357,
                0.9999997617629764,
                0.9999997897567091,
                0.9999996533674201,
                0.9999997617631468,
                0.9999997897566089,
                0.9999999006879957,
                0.9999999123574523,
                0.9999996533672962
            ],
            [
                0.9999996940976636,
                0.9999997300420937,
                0.9999994956524715,
                0.9999998362622357,
                0.9999999226557776,
                0.9999996940977366,
                0.9999998874647574,
                0.9999995549147359,
                0.9999998144609202,
                0.9999999226557592
            ],
            [
                0.9999999226557684,
                0.9999997617631468,
                0.9999987901341724,
                0.9999998724808963,
                0.9999998362622357,
                0.9999998724809875,
                0.9999996940978095,
                0.999999554914789,
                0.999999694097773,
                0.9999998362622357
            ],
            [
                4.222832437109582e-06,
                3.2887502409830123e-06,
                1.0129995804696242e-05,
                1.7603438426203097e-06,
                1.8925143716804326e-05,
                1.994729245693449e-06,
                8.48110614210065e-05,
                6.1441775290176756e-06,
                4.222833947029514e-06,
                1.6701429797422853e-05
            ],
            [
                0.9999994956524114,
                0.9999996940976271,
                0.9999998144608981,
                0.9999998144608319,
                0.9999998555020306,
                0.9999998362622552,
                0.9999996072138934,
                0.999999814460854,
                0.9999997617630616,
                0.9999998144609202
            ],
            [
                0.9999992661787571,
                0.9999997617630049,
                0.999999554914895,
                0.9999995549150011,
                0.9999997617631752,
                0.9999997897567091,
                0.9999998874647709,
                0.9999995549147359,
                0.9999995549149481,
                0.999999694097846
            ],
            [
                0.9999997300422869,
                0.999999887464744,
                0.9999989322968754,
                0.9999997300422869,
                0.9999998362623332,
                0.9999996072138934,
                0.9999997617631468,
                0.9999997300421581,
                0.9999996072136125,
                0.999999789756634
            ],
            [
                0.999999730042319,
                0.9999997617630616,
                0.9999998144609645,
                0.999999814460876,
                0.9999998724809419,
                0.9999998362622357,
                0.9999997300421903,
                0.9999995549149481,
                0.9999996940978095,
                0.9999998144609645
            ],
            [
                0.9999996533675028,
                0.9999997617629764,
                0.9999999123574732,
                0.9999998362623528,
                0.9999995549150542,
                0.9999997897566338,
                0.9999998362622747,
                0.9999998874649184,
                0.9999997617631469,
                0.9999997897566089
            ],
            [
                0.9999996940977001,
                0.9999997617631752,
                0.99999976176309,
                0.9999996533672962,
                0.9999997897566089,
                0.9999998724809875,
                0.999999789756684,
                0.9999994284997573,
                0.9999990577557432,
                0.9999999006880075
            ],
            [
                0.9999994956527721,
                0.9999997617631469,
                0.999999694097846,
                0.9999997300420937,
                0.9999998362623528,
                0.9999999006880075,
                0.9999999226557869,
                0.9999996533672962,
                0.9999995549150011,
                0.9999996072137061
            ],
            [
                0.9999996072138934,
                0.9999997300421903,
                0.9999999006879957,
                0.9999999123574419,
                0.9999998144608097,
                0.9999998555019618,
                0.9999997897566589,
                0.9999998362622552,
                0.9999995549149481,
                0.9999999006879721
            ],
            [
                0.9999993524050474,
                0.9999996940977366,
                0.9999998555019962,
                0.9999998362622746,
                0.9999998362623332,
                0.9999998724809875,
                0.9999998362623137,
                0.9999998874647574,
                0.9999997897565587,
                0.9999998724809116
            ]
        ]
    },
    {
        "q_id": "10423_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            4,
            5,
            6,
            7,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            37,
            38,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            68,
            69,
            70,
            71,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            111,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            125,
            126
        ],
        "rewards": [
            [
                0.7772998611746911,
                0.5926665999540698,
                0.9995694430126288,
                0.8670357580842941,
                0.999820471991925,
                0.9999251537371195,
                0.5621765008857981,
                0.8175744806385543,
                0.9241418215456966,
                0.9999724643089016
            ],
            [
                0.999891103129622,
                0.9998601779425829,
                0.9998766054398044,
                0.9999599363030355,
                0.9998204719912301,
                0.9999417087483609,
                0.9999339478316954,
                0.9998766054692795,
                0.9991959141471471,
                0.99990389758502
            ],
            [
                0.9999994284997573,
                0.999994577782323,
                0.9999998362622552,
                0.9999945777829694,
                0.9999962733611601,
                0.9999910603047618,
                0.9999957771645419,
                0.9999962733616045,
                0.9999977396751633,
                0.9999992661786696
            ],
            [
                0.2942149659744614,
                0.9999546021367736,
                0.999373665758601,
                0.5621765008857981,
                0.9999485578047399,
                0.7310585727705127,
                0.20181321505933414,
                0.8670357701094303,
                0.6513548782017745,
                0.999933947879147
            ],
            [
                0.9999970976866309,
                0.9999989322975118,
                0.9999986290424663,
                0.9999982396567867,
                0.999998629042303,
                0.9999994284993486,
                0.9999977396746244,
                0.999991060306893,
                0.9999967112505425,
                0.9999982396572064
            ],
            [
                0.9999974387165679,
                0.9999986290429567,
                0.9999991684718732,
                0.9999885212318742,
                0.9999952149055054,
                0.999997438716568,
                0.9999938558224682,
                0.9999989322966208,
                0.9999756997563736,
                0.9999986290424663
            ],
            [
                0.9999339478395777,
                0.9975273762587492,
                0.9997965729781864,
                0.9998601779258989,
                0.9998204719696734,
                0.9990889488675881,
                0.9998766053956697,
                0.9997040427943068,
                0.9999038975735949,
                0.9796676474364818
            ],
            [
                0.9999982396574162,
                0.9999995549147889,
                0.9999994284996893,
                0.9999991684718732,
                0.9999987901346049,
                0.999999694097846,
                0.9999996072139402,
                0.9999910603058276,
                0.9999996072137061,
                0.9999945777810304
            ],
            [
                0.999999057755743,
                0.999999266178932,
                0.9999974387177893,
                0.9999990577551815,
                0.9999967112497584,
                0.9999962733593831,
                0.9999957771655487,
                0.9999977396754327,
                0.9999974387183999,
                0.9999984465015046
            ],
            [
                0.999998790134028,
                0.9999987901337395,
                0.9999994284994849,
                0.9999991684720715,
                0.9999994284994849,
                0.9999996072137998,
                0.9999987901343165,
                0.9999977396757022,
                0.999999266178932,
                0.9999996533672135
            ],
            [
                0.9999962733617408,
                0.9999485577619084,
                0.9999546021314538,
                0.9998415637462829,
                0.9465966660571643,
                0.9999724643028992,
                0.9999417087067969,
                0.9999785550568316,
                0.9999938558240784,
                0.9999938558225621
            ],
            [
                0.9999996533674615,
                0.9999996072136125,
                0.9999997617629764,
                0.9999996940976271,
                0.9999994956525317,
                0.9999989322967482,
                0.999999266179107,
                0.9999996533672135,
                0.9999991684716749,
                0.9999996533672136
            ],
            [
                0.9999986290424663,
                0.999998239656367,
                0.9999987901346049,
                0.9999970976890528,
                0.9999938558239332,
                0.9999986290423029,
                0.9999984465016898,
                0.9999994284996893,
                0.9999986290427931,
                0.9999930377404305
            ],
            [
                0.9999957771665555,
                0.9999921107345929,
                0.9999987901341723,
                0.9999977396746244,
                0.9999982396574162,
                0.9999997897566089,
                0.999998629042303,
                0.9999996533673375,
                0.9999982396559473,
                0.9999996072138465
            ],
            [
                0.999999554914895,
                0.9999986290424663,
                0.9999991684721705,
                0.9999994956524114,
                0.9999992661788446,
                0.9999967112517187,
                0.9999990577549569,
                0.9999993524051246,
                0.999999694097846,
                0.9999994284994167
            ],
            [
                0.9986749778252592,
                0.9953904280727451,
                0.9998204720338216,
                0.9991959140473479,
                0.9999038975391754,
                0.9998911030777436,
                0.9999485577679526,
                0.9994472212533205,
                0.9999921107383551,
                0.9999869928668845
            ],
            [
                0.9995121428381625,
                0.1192029314092759,
                0.40733340004593027,
                0.6224593312018546,
                0.3775406617944891,
                0.8519527963298946,
                0.9988304895954191,
                0.9998415638288084,
                0.7549149813536518,
                0.9997040428621524
            ],
            [
                0.9999991684722697,
                0.9999989322967481,
                0.9999982396559473,
                0.9999993524054334,
                0.999999554914895,
                0.9999986290426297,
                0.9999986290424663,
                0.9999991684715759,
                0.9999977396759716,
                0.9999967112501504
            ],
            [
                1.3709576970213355e-06,
                1.209865539274514e-06,
                2.5612831266165976e-06,
                8.315284241333265e-07,
                1.0677033791107183e-06,
                5.715006514040971e-07,
                1.5534979397140412e-06,
                8.315281267430323e-07,
                1.0677033791204289e-06,
                5.715006514040971e-07
            ],
            [
                0.9999989322973846,
                0.9999952149049349,
                0.999998446502801,
                0.9999994956525918,
                0.9999994284996893,
                0.9999832985821384,
                0.9999980052695652,
                0.9999993524050473,
                0.9999967112505425,
                0.9999986290424663
            ],
            [
                0.9999980052695652,
                0.9999974387168733,
                0.9999987901344607,
                0.9999993524054334,
                0.9999945777829693,
                0.9999869928761873,
                0.9999987901344607,
                0.9999967112521106,
                0.9999970976880148,
                0.9999992661788446
            ],
            [
                0.9998415638208902,
                0.9996646497702103,
                0.9995694429615251,
                0.9998204720980665,
                0.9999339478238364,
                0.9997965730267098,
                0.9997965729542014,
                0.9998911030518491,
                0.9997388097839099,
                0.9998911030777436
            ],
            [
                0.9999997617630616,
                0.9999980052709919,
                0.999998446502801,
                0.9999984465024306,
                0.9999993524051246,
                0.9999986290423029,
                0.9999992661791944,
                0.9999986290429567,
                0.9999980052705163,
                0.9999995549151073
            ],
            [
                0.9999417087140609,
                0.5621765008857981,
                0.6513548714339145,
                0.7549149978955811,
                0.13296422989056966,
                0.9149009549929797,
                0.7981867777396212,
                0.9890130595350791,
                0.7310585786300049,
                0.9997694932351955
            ],
            [
                0.9999869928761873,
                0.9999974387180947,
                0.9999993524050473,
                0.9999991684722697,
                0.9999977396746242,
                0.9999987901337396,
                0.9999986290423029,
                0.9999990577554061,
                0.9999992661786696,
                0.9999984465020603
            ],
            [
                0.9998415637830782,
                0.9986749778235646,
                0.9980732651642932,
                0.998830489582772,
                0.9953904277415714,
                0.9997388095973917,
                0.9999151889687259,
                0.9984988175033279,
                0.9995694428587786,
                0.999941708734458
            ],
            [
                0.9999989322970027,
                0.9999987901344607,
                0.9999962733611601,
                0.999991060300499,
                0.9999996072139402,
                0.9999930377445801,
                0.9999921107355336,
                0.9999967112497585,
                0.9999967112517186,
                0.9999852610127579
            ],
            [
                0.09534947453918644,
                0.914900957313305,
                0.9999251537728793,
                0.10669060317692272,
                0.5312093733737563,
                0.09534946618445304,
                0.22270013882530884,
                0.9999251537565453,
                0.4378234991142019,
                0.01590638914602625
            ],
            [
                1.0677026154376365e-06,
                8.315280276505193e-07,
                3.05902117523595e-07,
                2.260323758923431e-06,
                2.3823682479181176e-07,
                5.043474683126242e-07,
                2.699578096373564e-07,
                2.699578739999358e-07,
                5.715003107655392e-07,
                1.8553914607043678e-07
            ],
            [
                0.9999991684718733,
                0.9999980052709919,
                0.9999970976876689,
                0.999997438716568,
                0.9999984465022455,
                0.9999987901338837,
                0.9999967112501504,
                0.9999982396561571,
                0.99999893229713,
                0.9999970976880148
            ],
            [
                0.999992110736474,
                0.9999970976873228,
                0.9999957771665555,
                0.9999869928730862,
                0.9999957771675623,
                0.9999980052709918,
                0.9465966739665495,
                0.999988521229138,
                0.9999989322975118,
                0.9999952149049349
            ],
            [
                5.715003107689177e-07,
                3.466324971396247e-07,
                9.422442569097361e-07,
                9.422450431800595e-07,
                1.067703379136937e-06,
                3.7266397283231055e-06,
                1.7603436328289897e-06,
                5.4222202623972055e-06,
                8.315278294001114e-07,
                4.450849988780466e-07
            ],
            [
                0.9999952149066461,
                0.9999967112517186,
                0.999997739675702,
                0.9999980052707541,
                0.9999962733589388,
                0.999996273360716,
                0.9999885212264009,
                0.9999980052695652,
                0.999998239656367,
                0.999985261011
            ],
            [
                0.9999962733616043,
                0.9999898700053976,
                0.9999852610127595,
                0.9999986290429567,
                0.9999869928684346,
                0.999989870005398,
                0.9999962733602715,
                0.9999910603036959,
                0.9999952149032236,
                0.9999984465015047
            ],
            [
                3.726639283901856e-06,
                9.422447062030659e-07,
                5.04347648686092e-07,
                5.043472278280699e-07,
                4.450851049941403e-07,
                4.450850519360903e-07,
                7.338209805090567e-07,
                6.475946437966953e-07,
                2.260325375664839e-06,
                0.9992903296984414
            ],
            [
                0.999999694097846,
                0.9999996072138465,
                0.999999554914895,
                0.9999996072137529,
                0.9999996533672136,
                0.9999993524054334,
                0.9999990577549568,
                0.9999996533672136,
                0.9999996533674201,
                0.9999997617631184
            ],
            [
                0.9999970976880148,
                0.9999962733589389,
                0.9999994284992805,
                0.9999996533675028,
                0.9999982396574162,
                0.9999994956524716,
                0.999999789756684,
                0.999998790134028,
                0.9999997300421583,
                0.9999991684717741
            ],
            [
                2.2603237589028734e-06,
                3.726638395415398e-06,
                1.7603432133032607e-06,
                1.3709570433885908e-06,
                9.422442568300383e-07,
                1.0677027426709671e-06,
                1.2098656834922064e-06,
                1.2098659718847284e-06,
                7.338212428813419e-07,
                3.288749065167371e-06
            ],
            [
                0.9999687980886309,
                0.9999687980737482,
                0.9997694932024783,
                0.9999485577802131,
                0.9988304898642707,
                0.9999687980737482,
                0.9997965730507007,
                0.9999485577863506,
                0.9992903295355962,
                0.9990889486556077
            ],
            [
                0.9995121428799708,
                0.9997965730749817,
                0.9990889489787971,
                0.9999869928699847,
                0.999512142822353,
                0.9999756997476829,
                0.999876605425066,
                0.9999038975849913,
                0.9999417087553016,
                0.9994472212551214
            ],
            [
                0.9999991684719723,
                0.999998239656367,
                0.9999986290432834,
                0.9999957771675623,
                0.9999982396563669,
                0.9999982396563669,
                0.9999832985821392,
                0.9999984465018751,
                0.999998790134028,
                0.9999930377412604
            ],
            [
                0.9999967112505425,
                0.9999993524052018,
                0.9999982396567867,
                0.9999996940977001,
                0.9999980052709919,
                0.9999967112521106,
                0.9999991684721706,
                0.9999993524054334,
                0.9999994956525317,
                0.9999996533672549
            ],
            [
                0.9999869928668853,
                0.9997694932853645,
                0.9999756997650627,
                0.9998911031167291,
                0.9999957771650454,
                0.9999910603005011,
                0.9998601779426236,
                0.9999921107355337,
                0.9999724643187513,
                0.9999339478474896
            ],
            [
                0.9999993524051246,
                0.9999967112501504,
                0.9999989322970027,
                0.9999970976880148,
                0.9999989322970027,
                0.9999885212305057,
                0.9999967112501504,
                0.9999989322973846,
                0.9999974387180947,
                0.9999994956526519
            ],
            [
                0.9999038976079472,
                0.999968798081189,
                0.9999485577924709,
                0.9998415638397973,
                0.9999898700078126,
                0.9994472212534813,
                0.9999251537549547,
                0.9999546021367712,
                0.9998766054692005,
                0.9997040428304383
            ],
            [
                3.927863875584984e-07,
                4.4508505193791187e-07,
                3.05902226922147e-07,
                5.043474683220276e-07,
                9.422442568428928e-07,
                2.3823685319076597e-07,
                3.9278634072580244e-07,
                1.7603436329978976e-06,
                6.47594720987407e-07,
                8.315278294038928e-07
            ],
            [
                0.9999998555019446,
                0.9999980052700408,
                0.9999990577550691,
                0.9999990577550691,
                0.9999957771650453,
                0.9999984465022455,
                0.9999945777816767,
                0.9999970976887068,
                0.9999957771660521,
                0.9999982396572064
            ],
            [
                0.999993855824666,
                0.9999996533673375,
                0.9999997617629764,
                0.9999869928684394,
                0.9999982396563669,
                0.9999989322968754,
                0.9999990577554061,
                0.9999997617631469,
                0.9999994284994849,
                0.9999998362622552
            ],
            [
                0.9999998362622942,
                0.9999996940976636,
                0.9999994284992805,
                0.9999998144608097,
                0.999999428499553,
                0.9999994284994167,
                0.9999995549147358,
                0.9999991684719723,
                0.9999997300420939,
                0.9999994956524114
            ],
            [
                0.9999984465026158,
                0.9999974387180945,
                0.9999989322975118,
                0.9999990577550691,
                0.9999984465015047,
                0.9999991684718733,
                0.9999910603068931,
                0.9999974387183999,
                0.9999984465020602,
                0.9999982396572064
            ],
            [
                0.9999982396574162,
                0.9999984465018751,
                0.9999945777797374,
                0.9999952149072165,
                0.9999992661788446,
                0.999997438717484,
                0.9999992661786696,
                0.9999974387165679,
                0.9999980052695652,
                0.9999982396561571
            ],
            [
                0.9999980052709918,
                0.9999987901341723,
                0.999999266178932,
                0.9999989322968754,
                0.9999974387171786,
                0.9999980052695652,
                0.9999990577551815,
                0.9999832985741748,
                0.9999994956526519,
                0.9999992661788446
            ],
            [
                0.9999989322973846,
                0.9999974387187053,
                0.9999990577549568,
                0.9999977396751633,
                0.9999885212332426,
                0.9999986290426297,
                0.999995777166052,
                0.9999970976890528,
                0.9999989322975118,
                0.9999832985741745
            ],
            [
                0.9991959141658069,
                0.2942149783515162,
                0.9994472214549844,
                0.999820471991165,
                0.9997388097223529,
                0.9998204719491037,
                0.9988304896000427,
                0.99989110311668,
                0.9995121428232897,
                0.9998415637832834
            ],
            [
                0.999992110733655,
                0.9999852610215518,
                0.999991060305872,
                0.9999921107393147,
                0.9999910603069214,
                0.999986992876196,
                0.999978555056705,
                0.9241418215456967,
                0.9859363711101138,
                0.9046505428129514
            ],
            [
                0.9999687980774675,
                0.9999785550541431,
                0.9999869928684344,
                0.999290329700877,
                0.9993736658952308,
                0.9997040428648304,
                0.9999898700102274,
                0.9999910602994334,
                0.9999339478631919,
                0.999983298576164
            ],
            [
                2.4300252317882297e-05,
                1.99472995920443e-06,
                6.144177531208195e-06,
                6.962255419380732e-06,
                2.5612834320214477e-06,
                2.4300232039788792e-05,
                5.422220908762902e-06,
                3.2887482809933958e-06,
                7.889264466344872e-06,
                6.9622587393661365e-06
            ],
            [
                0.9999921107402358,
                0.9999986290424663,
                0.9999885212264008,
                0.9999921107383547,
                0.9999991684720715,
                0.9999910603036959,
                0.999999168471675,
                0.9999986290432835,
                0.9999984465024306,
                0.9999993524049702
            ],
            [
                1.209866116170145e-06,
                1.5534975693707442e-06,
                8.315279285251204e-07,
                1.2098658277181688e-06,
                5.715007195410849e-07,
                8.315282258900085e-07,
                1.2098656834723998e-06,
                5.715002426460124e-07,
                2.2603240283888175e-06,
                4.222833444429485e-06
            ],
            [
                0.9999996072139402,
                0.999995777166052,
                0.9999967112517187,
                0.9999990577556308,
                0.999999554914895,
                0.9999993524053562,
                0.9999996072136592,
                0.9999982396567867,
                0.9999996533672962,
                0.9999990577557432
            ],
            [
                0.9999885212277696,
                0.9999810748495053,
                0.9999910603047615,
                0.9999989322968754,
                0.9999832985841289,
                0.9999810748562722,
                0.9999930377420904,
                0.9999869928700154,
                0.9999756997476829,
                0.9999974387187053
            ],
            [
                0.9999974387187053,
                0.9999990577556308,
                0.9999982396561571,
                0.9999994956527121,
                0.9999993524050473,
                0.9999994284992805,
                0.9999994284992805,
                0.9999989322970027,
                0.9999996940976636,
                0.9999994956525918
            ],
            [
                0.9999980052707541,
                0.9999987901343165,
                0.9999980052707541,
                0.9999974387171786,
                0.9999991684721705,
                0.9999989322975118,
                0.999997097687669,
                0.9999990577554061,
                0.9999996072139402,
                0.9999952149060757
            ],
            [
                0.9999996072138934,
                0.9999957771670588,
                0.9999992661788446,
                0.9999967112513266,
                0.9999974387174839,
                0.9999980052695652,
                0.9999994284992805,
                0.999999730042319,
                0.999998446502801,
                0.9999986290423029
            ],
            [
                8.31528325021115e-07,
                9.422450431732037e-07,
                9.422445938917108e-07,
                4.785092783210732e-06,
                5.715007195119775e-07,
                1.3709570433536782e-06,
                1.760344052693435e-06,
                2.382368247909451e-07,
                9.422450431860582e-07,
                7.338213304243302e-07
            ],
            [
                0.9999984465016899,
                0.9999910603036959,
                0.9999962733602716,
                0.9999885212359795,
                0.9999898700078125,
                0.9999938558239332,
                0.9999962733593833,
                0.9999970976866309,
                0.9999962733598274,
                0.9999982396559473
            ],
            [
                1.209865827698362e-06,
                9.422447062150634e-07,
                9.422450431569214e-07,
                1.3709572068079696e-06,
                1.370957370236096e-06,
                1.7603430033607189e-06,
                1.7603434231505666e-06,
                1.2098662603631479e-06,
                1.0677029972745947e-06,
                1.0677029973056687e-06
            ],
            [
                0.9998601779092757,
                0.9997965730027248,
                0.998498817545731,
                0.9999038976079275,
                0.6224593312018546,
                0.9999038975850291,
                0.9999646437366446,
                0.9999485578047577,
                0.9999852610145168,
                0.9999599362887123
            ],
            [
                0.9999994956524114,
                0.9999994284994849,
                0.9999987901343165,
                0.999999266178932,
                0.999999694097846,
                0.9999997300422225,
                0.9999991684721706,
                0.9999995549149481,
                0.9999991684721706,
                0.9999992661786695
            ],
            [
                0.9999995549151072,
                0.9999994956525918,
                0.9999997300422868,
                0.9999994956527121,
                0.9999995549150011,
                0.9999996533673375,
                0.9999996072138465,
                0.9999990577555183,
                0.9999980052705163,
                0.9999967112509346
            ],
            [
                0.9999998362622746,
                0.9999921107336526,
                0.9999980052695652,
                0.9999992661790195,
                0.9999991684715758,
                0.9999990577556308,
                0.9999990577554061,
                0.9999990577552939,
                0.9999980052705163,
                0.9999986290431201
            ],
            [
                0.9999980052695652,
                0.9999994956523514,
                0.9999990577556308,
                0.9999957771650453,
                0.9999991684718732,
                0.9999952149037941,
                0.9999996072138934,
                0.9999986290421394,
                0.9999982396569965,
                0.9999989322970027
            ],
            [
                0.999964643732433,
                0.9997388097838416,
                0.9999852610180279,
                0.9999687980960651,
                0.9995694429603477,
                0.9999724643056177,
                0.9999852610127573,
                0.9999339478631785,
                0.9999832985781549,
                0.9996200154238166
            ],
            [
                1.0677031244914623e-06,
                6.475945665441494e-07,
                1.2098659719524008e-06,
                2.260323489410794e-06,
                5.043473480678099e-07,
                5.715005832762133e-07,
                1.2098656834723998e-06,
                6.47594643784032e-07,
                1.994729959160889e-06,
                1.2098661161239298e-06
            ],
            [
                0.9999646437450708,
                0.9999990577556308,
                0.9999977396762411,
                0.9999986290424663,
                0.9999982396569965,
                0.9999885212277696,
                0.9999930377437503,
                0.9999991684722697,
                0.999995777166052,
                0.9999930377454102
            ],
            [
                1.7603438427852151e-06,
                5.71500515151976e-07,
                3.9278634072866033e-07,
                3.4663253846111126e-07,
                7.338209804920378e-07,
                5.04347287945184e-07,
                5.043472278195839e-07,
                5.043476486883855e-07,
                4.450852111135988e-07,
                7.338211554688417e-07
            ],
            [
                0.9999996940977366,
                0.999999168471675,
                0.9999994284993486,
                0.9999994956525918,
                0.9999995549151072,
                0.9999996940976636,
                0.9999989322967482,
                0.9999980052705163,
                0.9999986290424664,
                0.9999984465022453
            ],
            [
                0.9999930377454102,
                0.9999832985801461,
                0.9999945777816766,
                0.9999967112509346,
                0.9999921107336525,
                0.9999898700041899,
                0.9999810748472474,
                0.999989870006605,
                0.9999687980886264,
                0.9999724643088999
            ],
            [
                0.9999997897565838,
                0.9999994956524114,
                0.9999998555019963,
                0.9999996533672549,
                0.999999789756684,
                0.9999997897565587,
                0.9999996533675028,
                0.9999998724809267,
                0.999999694097846,
                0.9999996072139402
            ],
            [
                0.9999996533673788,
                0.9999999226557317,
                0.9999998362623723,
                0.9999998724809571,
                0.9999996072137061,
                0.999999057755069,
                0.9999998362622746,
                0.9999998362622357,
                0.9999998555019446,
                0.9999993524048929
            ],
            [
                0.9999987901340279,
                0.999998005269803,
                0.9999990577551815,
                0.9999989322968754,
                0.9999980052698029,
                0.9999986290424663,
                0.9999980052707541,
                0.9999970976880149,
                0.9999995549149481,
                0.9999993524052018
            ],
            [
                0.9999977396746242,
                0.9999980052702785,
                0.9999974387168732,
                0.9999990577556307,
                0.9999993524053562,
                0.9999970976873229,
                0.9999987901343165,
                0.9999991684721705,
                0.9999987901341723,
                0.9999986290429567
            ],
            [
                3.059021539909339e-07,
                3.2887478892055875e-06,
                5.043474683156057e-07,
                9.422444815679433e-07,
                7.338207180801359e-07,
                4.450848927621807e-07,
                4.450852641681257e-07,
                8.315282259089153e-07,
                3.059023363221292e-07,
                7.33820718037422e-07
            ],
            [
                1.0677028699955933e-06,
                1.473898021457511e-05,
                1.5534975693488444e-06,
                2.2603240283888175e-06,
                1.3007131564903626e-05,
                6.962257909323729e-06,
                1.370956716481313e-06,
                1.5534983101301911e-06,
                1.7603436327425345e-06,
                4.785096205778054e-06
            ],
            [
                0.99962001555926,
                0.9999599362934862,
                0.9997694932846602,
                0.9999599362934879,
                0.9999910603058273,
                0.9999724642957762,
                0.995929861719714,
                0.9999339478395641,
                0.9991959141427511,
                0.9999869928746413
            ],
            [
                0.9999938558275953,
                0.9999982396567867,
                0.9999993524051246,
                0.9999992661792819,
                0.99999893229713,
                0.9999945777790911,
                0.9999974387184,
                0.9999980052695652,
                0.9999970976887068,
                0.9999974387171786
            ],
            [
                0.9999756997621788,
                0.9999967112509348,
                0.9999974387171787,
                0.9999724642957817,
                0.9999977396748939,
                0.9999957771665564,
                0.9999938558261319,
                0.9999952149049356,
                0.9999921107345937,
                0.9999962733611607
            ],
            [
                0.9999910602994333,
                0.9999993524052789,
                0.9999852610145143,
                0.9999852610232997,
                0.9999977396751633,
                0.9999957771680656,
                0.9999930377404305,
                0.9999986290427932,
                0.9999980052705163,
                0.9999938558224684
            ],
            [
                0.9999151889890348,
                0.5312093733737562,
                0.9998911030389356,
                0.9998204720419476,
                0.9999038975623201,
                0.9046505267461572,
                0.9999646437501688,
                0.9999038975392628,
                0.9999724643187513,
                0.9999417087136483
            ],
            [
                0.9999990577557432,
                0.999999428499553,
                0.9999980052705163,
                0.9999945777810302,
                0.9999987901341723,
                0.9999977396759716,
                0.9999910602994334,
                0.9999980052698029,
                0.999999554914895,
                0.9999945777823229
            ],
            [
                0.9999977396754326,
                0.9999996533672136,
                0.9999938558253981,
                0.9999994956527121,
                0.9999957771650453,
                0.9999910603015649,
                0.9999992661787571,
                0.9999987901341723,
                0.9999987901346049,
                0.9999994956524715
            ],
            [
                0.9999987901341723,
                0.9999967112509346,
                0.9999982396559473,
                0.9999991684720715,
                0.9999991684722697,
                0.9999994284996211,
                0.9999993524049702,
                0.9999991684718732,
                0.999998790134028,
                0.9999989322975118
            ],
            [
                0.9999885212332426,
                0.999972464312183,
                0.999968798081189,
                0.9999930377445801,
                0.9999962733593831,
                0.9997388096281703,
                0.9999952149049348,
                0.999995777166052,
                0.999978555043919,
                0.9999910602994331
            ],
            [
                1.9947299591826594e-06,
                3.726640616630245e-06,
                2.2603253754921562e-06,
                1.1478768123280277e-05,
                1.9947301969217434e-06,
                1.9947290080125335e-06,
                1.370957206783032e-06,
                1.3709573702647743e-06,
                4.785092783371756e-06,
                3.7266401721817755e-06
            ],
            [
                0.9999945777823229,
                0.999998446502801,
                0.9999982396572064,
                0.9999646437408605,
                0.9999970976866309,
                0.9999991684721705,
                0.9999898700114352,
                0.999985261018029,
                0.9999945777797374,
                0.9999417087553126
            ],
            [
                0.9999982396567867,
                0.9999898700126431,
                0.9999987901347491,
                0.999998446502801,
                0.9999785550413632,
                0.9999995549149481,
                0.9999898700126431,
                0.9999990577551815,
                0.9999994284996211,
                0.9999977396757022
            ],
            [
                0.9999785550413638,
                0.9999967112501504,
                0.9999898700053974,
                0.9999945777829694,
                0.9999930377454103,
                0.9999885212264016,
                0.9999852610110004,
                0.9999967112509347,
                0.9999810748472494,
                0.9999898700126433
            ],
            [
                0.9999977396754327,
                0.9999995549150011,
                0.9999974387187053,
                0.9999996072137529,
                0.9999987901344607,
                0.9999995549150011,
                0.9999997300421903,
                0.9999885212359796,
                0.9999977396759716,
                0.9999998144609645
            ],
            [
                0.9999952149049348,
                0.9999930377420903,
                0.999999730042319,
                0.9999810748562726,
                0.9999989322973845,
                0.9999998874649318,
                0.9999646437619342,
                0.9999989322967481,
                0.9999994284996211,
                0.9999962733589389
            ],
            [
                0.9999970976873228,
                0.9999832985841289,
                0.9999151889384686,
                0.9999967112509346,
                0.9999984465018751,
                0.9999724642957725,
                0.9995694429107969,
                0.9999910603036959,
                0.9999962733620485,
                0.9999984465015047
            ],
            [
                0.999948557796474,
                0.9914225158772292,
                0.9999485577679945,
                0.9999724643154813,
                0.9999970976887088,
                0.999986992869989,
                0.7057850154599562,
                0.9999898700126444,
                0.9999989322975126,
                0.9999967112513336
            ],
            [
                0.9993736658201027,
                0.9998601779091965,
                0.9999151889485163,
                0.9999687980849051,
                0.9996646498893982,
                0.9999921107383546,
                0.9999885212305057,
                0.9994472214515435,
                0.99929032970162,
                0.9999687980811902
            ],
            [
                0.9999885212318744,
                0.9999977396759716,
                0.9999993524050473,
                0.9999994956524715,
                0.999999495652652,
                0.9999962733607158,
                0.9999957771675623,
                0.9999974387184,
                0.9999952149066461,
                0.9999987901344607
            ],
            [
                0.9999910603004991,
                0.9999945777797375,
                0.9999898700041907,
                0.9999982396574162,
                0.9999810748517607,
                0.9999339478553573,
                0.9999957771655487,
                0.9999938558224684,
                0.9999938558232008,
                0.9999898700090203
            ],
            [
                0.9999251537550016,
                0.40733340004593027,
                0.9999599362916013,
                0.9998415638399263,
                0.9999832985702116,
                0.9997388097007242,
                0.9998766054103616,
                0.9989677688069486,
                0.9999785550442133,
                0.9997965729782308
            ],
            [
                0.9999986290427931,
                0.9999994284994849,
                0.9999984465022455,
                0.999999554914895,
                0.9999991684718732,
                0.9999992661790195,
                0.9999990577555185,
                0.9999987901346049,
                0.9999991684722698,
                0.9999989322968753
            ],
            [
                8.939696304002375e-06,
                5.71500242637956e-07,
                1.5534979397740895e-06,
                1.760343842833246e-06,
                5.4222183234485234e-06,
                7.338208055536515e-07,
                2.561282516042282e-06,
                9.422450431912e-07,
                8.939695238333382e-06,
                4.222834954753043e-06
            ],
            [
                0.9997388095973917,
                0.999738809659496,
                0.9999251537816801,
                0.9996200155598238,
                0.9998415637644547,
                0.9999417087136283,
                0.9999885212359796,
                0.9998601779260209,
                0.9995121428803398,
                0.9999151889485539
            ],
            [
                0.9999974387184,
                0.9999962733620487,
                0.9999646437619372,
                0.999989870010228,
                0.9999687980774756,
                0.9999993524054334,
                0.9999898700126435,
                0.9999970976876689,
                0.9999251537638759,
                0.9999910603068933
            ],
            [
                0.9999994956524114,
                0.9999992661788446,
                0.9999996072138465,
                0.9999997897567091,
                0.9999993524052018,
                0.9999996533674615,
                0.9999986290423029,
                0.9999989322970027,
                0.9999986290431201,
                0.9999967112513267
            ],
            [
                0.9999970976890528,
                0.9999962733598274,
                0.9999982396567867,
                0.9999977396759716,
                0.9999974387180947,
                0.999998790134028,
                0.9999970976866309,
                0.9999984465022455,
                0.9999982396574162,
                0.9999987901344607
            ]
        ]
    },
    {
        "q_id": "10368_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999974387187056,
                0.9999990577552939,
                0.99999844650169,
                0.9999990577549568,
                0.9999952149043646,
                0.9999945777803843,
                0.9999785550464971,
                0.9999980052702786,
                0.999997739675164,
                0.9999974387165687
            ],
            [
                1.2098662604049616e-06,
                2.9023112930949896e-06,
                0.9999339478791008,
                1.994730197071414e-06,
                0.9999852610197881,
                0.9999869928730893,
                2.2603242978213447e-06,
                0.9999910603036983,
                7.889266347133978e-06,
                0.9999832985841328
            ],
            [
                1.670142383167491e-05,
                4.00636778258121e-05,
                4.006370173105521e-05,
                8.939695237666677e-06,
                1.6701429801675944e-05,
                2.753569109454917e-05,
                0.00048785705596829235,
                2.4300232036606334e-05,
                0.00010889690909804562,
                1.1478766757049986e-05
            ],
            [
                2.902312677007974e-06,
                0.9999989322968755,
                0.9999967112517189,
                2.753569108573408e-05,
                0.999997097689053,
                0.9999982396572065,
                0.9999938558224688,
                0.9999938558261313,
                1.7603434231241496e-06,
                0.9999885212264024
            ],
            [
                0.9999957771645424,
                0.9999898700078154,
                0.9999991684715758,
                0.9999687980886374,
                0.9999869928761888,
                0.9999938558253983,
                0.9999930377445809,
                0.9999945777784451,
                0.9996646499712081,
                0.9999962733607166
            ],
            [
                0.9999885212346119,
                0.9999646437408712,
                0.99998329858015,
                0.9999952149072168,
                0.9998911030778189,
                0.999903897585039,
                0.9999417087484042,
                0.9999810748517622,
                0.9999546021151431,
                0.9999724643187533
            ],
            [
                0.9999982396559474,
                0.9999952149060763,
                0.9999910603068946,
                0.9999885212318804,
                0.9999952149037946,
                2.1444943298320236e-05,
                0.9999987901344607,
                0.9999962733616051,
                0.9999984465018751,
                0.9999984465015047
            ],
            [
                2.260324028306588e-06,
                0.9968273173305581,
                0.00012339460401431546,
                0.9997694932310572,
                1.6701423830702777e-05,
                1.2098656834041774e-06,
                6.605216817867347e-05,
                7.484623607019228e-05,
                7.484621790388621e-05,
                4.785093924103951e-06
            ],
            [
                0.9999852610127629,
                0.9998415637271083,
                0.9999938558239336,
                2.260323758882316e-06,
                0.9999832985801581,
                3.1201922520397544e-05,
                1.0129995805691255e-05,
                0.9999785550592651,
                1.994729483666479e-06,
                0.9998766054261036
            ],
            [
                0.999841563802716,
                1.4738983726559732e-05,
                0.9999485577864431,
                4.222831934248571e-06,
                2.260323489490968e-06,
                1.1478765388711023e-05,
                4.222832941034507e-06,
                2.260324028372372e-06,
                0.9998911030518618,
                8.939700566435704e-06
            ],
            [
                0.9997040430071777,
                0.9999974387177893,
                1.9947306726049992e-06,
                2.753570421361326e-05,
                0.00010889689613219725,
                5.829127244377123e-05,
                0.0005527785987518586,
                0.00010889688309980203,
                7.889264466344872e-06,
                NaN
            ],
            [
                0.9998766054253622,
                0.999954602120585,
                0.9999646437366568,
                0.999915188979021,
                0.9998601779596027,
                0.9995694429646063,
                0.9999251537371604,
                0.9999599363221651,
                0.9999546021205704,
                0.9998415637835254
            ],
            [
                0.9999339478553779,
                0.999995777166556,
                0.9999852610145247,
                0.999975699753483,
                0.9999724643121898,
                0.999972464302344,
                0.99997855505926,
                0.9995121428251914,
                0.9999724643056253,
                0.9999885212305073
            ],
            [
                3.535625066508635e-05,
                4.7850950649408664e-06,
                2.2603245672497918e-06,
                3.1201903929204235e-05,
                5.8291244639350886e-05,
                1.300713311517055e-05,
                1.3007134665674251e-05,
                0.9999869928715381,
                1.9947306726358406e-06,
                4.78509563546605e-06
            ],
            [
                0.9999938558275963,
                0.9999151889890513,
                0.9999785550439215,
                0.9999546021476212,
                0.9999885212291393,
                0.9997965729542014,
                0.9999546021259709,
                0.9999687980774743,
                0.9997965730274053,
                0.9998911031297583
            ],
            [
                1.0677029973056687e-06,
                3.7266406163624873e-06,
                6.144174599867732e-06,
                0.9324533074525657,
                0.9964063975753144,
                1.209865827698362e-06,
                4.450851049917114e-07,
                8.939696302652706e-06,
                0.9959298629598615,
                1.4738978453743973e-05
            ],
            [
                0.999993855824666,
                0.9999921107402369,
                0.9999687980886521,
                0.9999339478238556,
                0.9999885212277709,
                0.9999832985841483,
                0.999995214906076,
                0.9999898700090217,
                0.9999546021205649,
                0.999975699767971
            ],
            [
                0.9999977396765105,
                0.9999990577555187,
                0.999999266179107,
                0.9999945777784465,
                0.9999952149066464,
                0.9999984465020604,
                0.9999989322970028,
                0.9999974387165685,
                0.999999554914842,
                0.9999984465024307
            ],
            [
                0.9999952149072167,
                0.9999962733602719,
                0.9999945777797387,
                0.999994577780384,
                0.999975699765066,
                0.9999869928653365,
                0.9999785550464919,
                0.9999599363030525,
                0.9999930377420913,
                0.9999756997477076
            ],
            [
                0.9999982396572065,
                0.9999957771680659,
                0.9999984465022455,
                0.9999990577555185,
                0.9999977396748938,
                0.9999991684719723,
                0.9999977396751635,
                0.9999989322967481,
                0.9999974387165681,
                0.9999987901337396
            ],
            [
                4.785093353787868e-06,
                3.1201926219749737e-05,
                3.5356238038776134e-05,
                3.2887490649759413e-06,
                8.48110208951453e-05,
                3.288750241204353e-06,
                4.785096205434246e-06,
                2.4300252317086683e-05,
                0.9959298616668614,
                0.9996646499302397
            ],
            [
                8.939698434657777e-06,
                0.9999785550464778,
                8.939698435226916e-06,
                1.5534981249291695e-06,
                3.1201903906162046e-05,
                1.5534977545603963e-06,
                8.939695237504067e-06,
                8.93969630333567e-06,
                1.1478768125201194e-05,
                2.1444953516281788e-05
            ],
            [
                0.9999962733620487,
                0.9999977396765105,
                0.999999057755743,
                0.9999869928730893,
                0.9999967112517189,
                0.9999910603068939,
                0.9999910603058337,
                0.9999977396754327,
                0.9999982396574163,
                0.9999945777810308
            ],
            [
                0.9999996072137998,
                0.9999977396754328,
                0.9999898700090215,
                0.9999977396762411,
                0.999998239656577,
                0.9999982396574163,
                0.9999982396567868,
                0.9999885212264031,
                0.9999984465015047,
                0.9999980052707541
            ],
            [
                0.9999852610162746,
                0.9999852610233045,
                0.9999952149049351,
                0.9999756997534777,
                0.9999810748449955,
                0.9999785550515988,
                0.9999832985741752,
                0.9999038975851193,
                0.9999832985841333,
                0.9999930377429209
            ],
            [
                0.9999938558232011,
                0.9999990577556308,
                0.9999974387165681,
                0.9999989322966211,
                0.9999938558224688,
                0.999959936288716,
                0.9999962733598274,
                0.9999930377420927,
                0.999983298574178,
                0.9999898700041928
            ],
            [
                4.785096776068365e-06,
                0.9999869928715378,
                5.144222588097783e-05,
                8.48110513393645e-05,
                0.9999921107364751,
                2.9023112930949896e-06,
                7.889261644875049e-06,
                9.610243769112924e-05,
                3.1201915085825835e-05,
                4.539785774116719e-05
            ],
            [
                2.90231163910023e-06,
                8.939699500489763e-06,
                2.2603251062013478e-06,
                7.889263525534328e-06,
                4.006370650464339e-05,
                0.9999599363126329,
                4.785092782936557e-06,
                0.9999957771650457,
                7.889264466445326e-06,
                6.1441753337365085e-06
            ],
            [
                0.9999810748540182,
                0.9999930377454113,
                0.9999952149043648,
                0.999985261023302,
                0.9999910603068933,
                0.9999952149072171,
                0.9999974387184,
                0.999986992873089,
                0.9999989322971301,
                0.9999646437619594
            ],
            [
                3.2887482811908074e-06,
                0.9999962733602722,
                1.1478764019328247e-05,
                3.726639728224814e-06,
                4.785096776251149e-06,
                5.422220908762902e-06,
                0.9999945777810308,
                4.7850950649408664e-06,
                0.00029595699049726466,
                3.5356267535501495e-05
            ],
            [
                0.9999339478317386,
                0.9998601779594948,
                0.9999151889789943,
                0.999512142947466,
                0.9998911031038535,
                0.9999646437450808,
                0.9982992779121233,
                0.9999687980737526,
                0.9999417087067525,
                0.9999151889183892
            ],
            [
                0.9999756997679633,
                0.9999599363173874,
                0.999992110737415,
                0.9999646437450873,
                0.9999724643089107,
                0.9999852610145203,
                0.9999910603004993,
                0.9999869928684362,
                0.9999785550413638,
                0.9999599363078342
            ],
            [
                0.9999898700102285,
                0.9999646437577258,
                0.9999785550567065,
                0.9999151889486606,
                0.9999724643023523,
                0.9999756997621719,
                0.9999646437492953,
                0.9999832985841333,
                0.999959936317381,
                0.9999546021368343
            ],
            [
                8.481101087089185e-05,
                1.892515274194901e-05,
                4.006368738595465e-05,
                2.144495096723246e-05,
                2.1444943294263477e-05,
                4.2228324375973415e-06,
                1.8925157258585e-05,
                2.561283126679493e-06,
                6.962254588281262e-06,
                1.3007123809644304e-05
            ],
            [
                8.939697368500698e-06,
                2.5612825159677387e-06,
                7.338213304316717e-07,
                1.5534984953298217e-06,
                3.92786106602417e-07,
                0.9999546021259847,
                1.99472995920443e-06,
                1.994730197071414e-06,
                5.422220908560712e-06,
                6.962254588977791e-06
            ],
            [
                0.9999938558232012,
                3.7266392838544054e-06,
                1.1478764019996392e-05,
                1.553497754476329e-06,
                2.753568124458694e-05,
                7.338211554641698e-07,
                1.1478769493331685e-05,
                4.785096205882502e-06,
                3.288749457409966e-06,
                7.889266347004826e-06
            ],
            [
                0.9998766053961115,
                0.9947798744297658,
                0.9999038975968605,
                0.9997965729309534,
                0.9997388096912398,
                0.9995694429689651,
                0.9995694428595177,
                0.9999417087275825,
                0.9997040429387898,
                0.999948557792528
            ],
            [
                0.9999646437366535,
                1.8925145980732218e-05,
                0.9998415638218352,
                1.3007123811797321e-05,
                3.120191508446373e-05,
                1.8925145981833788e-05,
                0.0001584361974545337,
                2.1444948408275583e-05,
                3.726638839806038e-06,
                8.93969736955767e-06
            ],
            [
                1.994729721469003e-06,
                4.00636778258121e-05,
                1.6701425820540864e-05,
                1.2098652508144226e-06,
                0.9999417087484003,
                2.561283432005142e-06,
                1.760344052693435e-06,
                0.9999945777810325,
                5.422220908762902e-06,
                1.3007128460040644e-05
            ],
            [
                0.9999869928715392,
                0.9999885212264024,
                0.9999852610180329,
                0.9999785550592651,
                0.9999957771655494,
                0.9999952149066468,
                0.9999938558232017,
                0.9999724642957865,
                0.9999852610233032,
                0.9999957771645422
            ],
            [
                0.9999810748450044,
                0.9999724643187786,
                0.9999724643023602,
                0.9999756997563856,
                0.9999930377429208,
                0.999978555051593,
                0.9999687980960955,
                0.9999910603015666,
                0.9999339478239425,
                0.999986992871542
            ],
            [
                0.9999417087067125,
                0.9999869928653365,
                0.9998204719484429,
                0.9999485578047951,
                0.999978555046477,
                0.9999810748562717,
                0.9999485577986323,
                0.999820472076938,
                0.9997694932303799,
                0.99995993629351
            ],
            [
                0.9999646437493283,
                0.9999967112493666,
                0.9999952149072174,
                0.9999898700114386,
                2.902311639126627e-06,
                0.9999921107374152,
                1.2098652508391807e-06,
                0.9999957771650464,
                0.9999832985841324,
                2.56128282131428e-06
            ],
            [
                6.9622595694023114e-06,
                1.0129995809431767e-05,
                2.144494585197151e-05,
                3.726640172385136e-06,
                1.0129987356375273e-05,
                1.0129993394314164e-05,
                0.9999921107364745,
                8.93970056424046e-06,
                5.42221767672807e-06,
                2.2603242978007868e-06
            ],
            [
                3.5356238042506135e-05,
                5.144221977210733e-05,
                2.260325375664839e-06,
                0.9997965730025117,
                0.9996200155608962,
                0.0002305068229816981,
                0.0006263340936565954,
                0.0002959570948015127,
                0.9999599362887367,
                0.00010889689611952136
            ],
            [
                0.9999832985701956,
                3.1201911358551906e-05,
                1.8925143726890553e-05,
                2.4300234934056724e-05,
                3.726639728262097e-06,
                0.9999646437493142,
                7.889260704423598e-06,
                1.147876538716594e-05,
                0.9999810748585329,
                7.889266347004826e-06
            ],
            [
                0.9999945777810304,
                0.9999910603036967,
                0.9999910603047628,
                0.9999869928715386,
                0.999998629042303,
                0.9999980052695652,
                0.9999921107336536,
                0.9999970976876691,
                0.9999945777784448,
                0.9999957771675627
            ],
            [
                3.2887478890769702e-06,
                2.753569108453202e-05,
                1.4738976699427788e-05,
                1.3709573702722555e-06,
                1.1478769492392108e-05,
                1.0129992186774007e-05,
                5.422221555069497e-06,
                3.288747889178668e-06,
                4.0063692165808155e-05,
                1.7603430034311638e-06
            ],
            [
                0.9998204720342526,
                0.9999724643154813,
                0.999985261019786,
                0.9999687980960923,
                0.9999687980774796,
                0.9999810748540182,
                0.9999251537460537,
                0.9999810748562752,
                0.9999938558268634,
                0.9999756997621719
            ],
            [
                0.9998415637650148,
                0.9996646498514739,
                0.9999485577863929,
                0.9999724643121964,
                0.9998415638214826,
                0.99998526101803,
                0.9999687980960773,
                0.9999756997505924,
                0.9997694931759586,
                0.9999832985781574
            ],
            [
                0.9999756997476862,
                0.9999785550567065,
                0.9999832985801506,
                0.9999910603036986,
                0.9999852610110034,
                0.9999885212332442,
                0.9999869928730887,
                0.9999832985761679,
                0.999991060304763,
                0.9999970976866309
            ],
            [
                0.9999885212291404,
                0.9999885212318754,
                0.9999938558261314,
                0.9999952149055056,
                0.9999957771670592,
                0.9999852610180324,
                1.473898899846585e-05,
                0.9999910603068937,
                4.222831934202483e-06,
                0.9999938558232014
            ],
            [
                0.9999930377445807,
                1.5534971989907999e-06,
                1.6701417861584877e-05,
                1.4738987239698005e-05,
                0.9999952149066462,
                1.0129988562422337e-05,
                1.99472972129484e-06,
                4.785096205512581e-06,
                2.260323489435463e-06,
                2.5612819053399912e-06
            ],
            [
                0.9999832985841393,
                0.9999832985701994,
                0.9999810748517707,
                0.9999724643154788,
                0.9999599362935286,
                0.9999832985761699,
                0.99998987000661,
                0.9999885212346176,
                0.999992110740237,
                0.9999869928668896
            ],
            [
                0.9997040429018574,
                0.9996646498914276,
                0.9996646498525276,
                0.9998204719912301,
                1.670142980726572e-05,
                0.99994170874838,
                0.9998766053957163,
                0.9997965730995142,
                0.9999151889890266,
                0.999876605454541
            ],
            [
                0.9999810748495068,
                0.9999756997621738,
                0.9999724643056297,
                0.9999646437366672,
                0.9999756997534849,
                0.999964643732444,
                0.9999785550515897,
                0.9999756997621738,
                0.999997438717484,
                0.9999785550541569
            ],
            [
                6.144176799227922e-06,
                7.889261644982674e-06,
                6.962253759157502e-06,
                8.93969736929749e-06,
                1.6701429805199933e-05,
                8.939699500636112e-06,
                1.1478768124783601e-05,
                1.5534983101393749e-06,
                1.5534975693707442e-06,
                1.1478772229989872e-05
            ],
            [
                0.00017952803002892908,
                0.99908894887686,
                1.1478773597640625e-05,
                0.9996646500111618,
                0.0002305067949594982,
                1.892514823426434e-05,
                1.8925148238291944e-05,
                4.539786861523573e-05,
                6.144175333289463e-06,
                0.00020342689922790518
            ],
            [
                1.3709572068272963e-06,
                3.726640172503764e-06,
                6.144173869072478e-06,
                1.994730672668496e-06,
                1.7603425837494853e-06,
                5.422218969532895e-06,
                3.288748673295719e-06,
                2.9023133689924295e-06,
                3.288750241500471e-06,
                2.430023783309869e-05
            ],
            [
                0.9999957771670591,
                1.1478765388523107e-05,
                4.539785237052376e-05,
                8.939700565834043e-06,
                6.9622587393661365e-06,
                0.9999982396567868,
                2.7535684526905577e-05,
                6.144173136131494e-06,
                9.610239188711088e-05,
                5.144220137064579e-05
            ],
            [
                2.5612825159421147e-06,
                6.475951069313854e-07,
                4.785094494672519e-06,
                9.422442569028803e-07,
                1.0129989771657269e-05,
                5.144220135417782e-05,
                1.1478764018305152e-05,
                4.22283394786293e-06,
                2.2603237588597026e-06,
                2.1444953522913026e-05
            ],
            [
                0.9999991684715759,
                6.962256249429175e-06,
                4.785093923916815e-06,
                6.144172404302622e-06,
                1.3007123812317831e-05,
                1.994730196992497e-06,
                4.222834451065997e-06,
                5.422220908762902e-06,
                6.962254589433702e-06,
                1.0129988563343644e-05
            ],
            [
                0.9999898700041914,
                0.999995214904365,
                0.9999930377454106,
                0.9999898700078145,
                0.9999967112517189,
                0.9999967112513267,
                0.9999962733620488,
                0.9999945777823236,
                0.9999952149037946,
                0.9999910603047626
            ],
            [
                2.9023133689317184e-06,
                4.785095065045315e-06,
                4.785095634843714e-06,
                1.9947304348332037e-06,
                0.0001795279222444653,
                4.785095634930755e-06,
                7.889264465699106e-06,
                4.222834954607099e-06,
                4.785096205651846e-06,
                0.9999756997505924
            ],
            [
                0.9999885212277702,
                0.9999930377454103,
                0.9999687980774756,
                0.999994577781677,
                0.9999945777810307,
                0.9999938558224685,
                0.9999945777803843,
                0.9999599362982811,
                0.9999957771670592,
                0.999959936312657
            ],
            [
                0.9999945777790917,
                0.9999987901346049,
                0.9999962733611607,
                0.9999989322973847,
                0.9999970976869772,
                0.9999993524051246,
                4.785092783267308e-06,
                0.9999970976873234,
                0.9999982396563671,
                0.9999974387165682
            ],
            [
                0.999996711249367,
                0.9999967112513268,
                0.9999987901337396,
                0.9999930377445811,
                0.9999962733602723,
                0.9999977396754328,
                0.9999945777816769,
                0.999994577782324,
                0.9999910603036976,
                0.999996273362049
            ],
            [
                0.9999962733589393,
                1.5534973841895917e-06,
                2.1444940743225995e-05,
                0.9999869928684358,
                0.9999810748517663,
                0.9999832985801496,
                1.2098656835136636e-06,
                0.9999938558246664,
                2.260324567302214e-06,
                0.9999930377420913
            ],
            [
                0.9999970976876689,
                0.9999852610110046,
                0.9999687980960759,
                0.9999921107392972,
                0.9999810748495139,
                0.9999957771650455,
                0.9999921107392973,
                0.9999852610110009,
                0.9999974387184001,
                0.9999687980997979
            ],
            [
                0.999820472055543,
                0.9999885212277727,
                0.999915188958804,
                0.9999869928668857,
                0.9997388097247923,
                0.9999687980923553,
                0.999925153737218,
                0.9999546021422182,
                0.9999885212346142,
                0.9999756997650677
            ],
            [
                4.006369215691771e-05,
                1.994730197071414e-06,
                3.2887494573232236e-06,
                7.484620930074429e-05,
                6.144173869312763e-06,
                0.9999980052702786,
                8.93969949923766e-06,
                2.7535687805818776e-05,
                8.31528424151477e-07,
                0.9999930377404309
            ],
            [
                3.1201926201134365e-05,
                7.889263525893087e-06,
                2.7535704224732304e-05,
                5.829128635171172e-05,
                2.902312331081799e-06,
                3.535623805163821e-05,
                1.5534979397500702e-06,
                0.9999967112509347,
                4.785092782936557e-06,
                0.9999982396567868
            ],
            [
                0.9999910603015656,
                0.9999832985701952,
                0.9999910602994343,
                0.9999724643187611,
                0.9999869928715392,
                0.9999945777803844,
                0.9999852610110019,
                0.9999756997505924,
                0.9999930377404308,
                0.9999921107345942
            ],
            [
                2.5612831266608576e-06,
                1.994730434798734e-06,
                3.1201926235527406e-05,
                0.000230506684131664,
                2.430025231469984e-05,
                0.9999151889586547,
                4.78509449410676e-06,
                9.422442569208767e-07,
                4.222831934156396e-06,
                6.605216819020694e-05
            ],
            [
                4.222831934286977e-06,
                2.9023116391477434e-06,
                2.753568124458694e-05,
                2.4300240727367308e-05,
                1.892515049571424e-05,
                8.939698434657777e-06,
                1.670142781520948e-05,
                2.561282821352716e-06,
                1.8925141468298646e-05,
                1.892515500663531e-05
            ],
            [
                2.5612819053166966e-06,
                1.2098653950480359e-06,
                0.9999977396746245,
                7.88925976397226e-06,
                0.9999339478396116,
                1.3007123809644304e-05,
                1.1478765388105516e-05,
                4.7850939242083995e-06,
                2.430024941371131e-05,
                3.2887498492936755e-06
            ],
            [
                2.1444956070870452e-05,
                1.5534971989809095e-06,
                0.9999151889890187,
                0.9999957771650455,
                0.999994577778445,
                0.9999785550464798,
                0.9964063980997079,
                0.999989870006606,
                2.144495096083526e-05,
                0.9999785550413756
            ],
            [
                0.9999724643056286,
                0.9999832985781578,
                0.9999974387171787,
                0.9999339478239027,
                0.999964643736673,
                0.9999898700126456,
                0.9940889319044435,
                0.9999687980737576,
                0.9999832985801537,
                0.9999869928653348
            ],
            [
                0.9999810748449972,
                0.9999921107383554,
                0.999995214906076,
                0.9999921107374146,
                0.9999938558232018,
                0.9999251537639369,
                0.9999885212359833,
                0.9999967112513267,
                0.9999832985781574,
                0.9999852610180308
            ],
            [
                2.7535681241281285e-05,
                7.338209805170655e-07,
                0.9994472214575892,
                2.9023112931688987e-06,
                7.889264465555602e-06,
                6.47594875389178e-07,
                1.892515726099468e-05,
                4.7850933535659155e-06,
                3.288750633488963e-06,
                2.9023126769762986e-06
            ],
            [
                0.9999724642957807,
                0.9999485577863967,
                0.9999898700078134,
                0.9999852610127582,
                0.9999546021097423,
                0.9999832985761693,
                0.9990889486730917,
                0.9999785550515924,
                0.9999687980960696,
                0.9999339478396116
            ],
            [
                0.9999785550490417,
                0.9999869928746405,
                0.999941708727689,
                0.9999417087276669,
                0.9999151889184558,
                0.9999945777829699,
                0.9999885212359804,
                0.9999910603047638,
                0.9999970976880158,
                0.9999485577618425
            ],
            [
                1.8925157263094544e-05,
                1.3007130013856124e-05,
                7.889266347356409e-06,
                1.3007126911974612e-05,
                2.902313368860448e-06,
                4.785096205778054e-06,
                6.962258739271155e-06,
                7.889259763326495e-06,
                7.889262585082652e-06,
                1.5534983101478522e-06
            ],
            [
                0.9999986290431204,
                0.9999991684718732,
                0.9999994284996893,
                0.9999974387168733,
                0.9999993524049702,
                0.9999991684722698,
                0.9999990577555185,
                0.9999996072137998,
                0.9999991684715759,
                0.999999266178757
            ],
            [
                0.999941708727552,
                0.9999982396572065,
                0.9999957771655497,
                0.9999995549151072,
                0.9999986290421398,
                0.9999957771675635,
                0.9999984465020603,
                0.9999962733598285,
                0.9999994284993486,
                0.9999974387174841
            ],
            [
                0.9999339478632202,
                0.9999339478396323,
                0.9997388096309745,
                0.9997965731001239,
                0.9999546021205443,
                0.9999417087553606,
                0.9995694429665227,
                0.9999417087136402,
                0.9999251537460335,
                0.9999599362887278
            ],
            [
                0.9999810748495098,
                0.9999977396765105,
                0.9999546021314138,
                0.9999921107364741,
                0.9999898700126464,
                0.9999962733607162,
                0.9995694429131265,
                0.9999885212318801,
                0.999988521233246,
                0.9999945777816769
            ],
            [
                0.9999898700078147,
                0.9999921107355365,
                0.9999687980849267,
                0.9999546021205791,
                0.9999038976082038,
                0.9999151889687783,
                0.9999251537549879,
                0.9999151889284529,
                0.9999832985801487,
                0.9994472213913113
            ],
            [
                0.9999810748472503,
                0.9999038976080374,
                0.9995121429417326,
                0.9999952149037942,
                0.9999546021476384,
                0.999891103117,
                0.9998911031298249,
                0.9999151889283684,
                0.9999646437577411,
                0.9997965730270532
            ],
            [
                0.9999485577925504,
                0.9999967112509347,
                0.9999930377437517,
                0.9999938558239341,
                1.2098658277264215e-06,
                6.144176066353646e-06,
                2.561282515988704e-06,
                0.9999957771650457,
                0.9999938558224697,
                8.939695236398313e-06
            ],
            [
                0.9999339478396271,
                0.9999687980923714,
                0.9999151889688683,
                0.999925153737126,
                0.9999251537371462,
                0.9999417087553606,
                0.9999546021368187,
                0.9999724643023602,
                0.9998415638213143,
                0.999948557774144
            ],
            [
                2.4300252313904224e-05,
                1.8925148236123232e-05,
                6.962258738827909e-06,
                4.22283545795623e-06,
                0.999964643732451,
                8.315282259051341e-07,
                0.9999967112517187,
                1.5534981249164537e-06,
                0.9998766053664871,
                0.0002959571300546863
            ],
            [
                0.9999990577554062,
                0.9999977396754332,
                0.9999977396765107,
                0.9999921107383568,
                0.9999921107345942,
                0.9999990577557432,
                0.9999910602994362,
                0.9999938558276065,
                0.9999957771660523,
                0.9999984465024307
            ],
            [
                0.0004878571691035988,
                0.9998204719913294,
                0.9997694932576776,
                8.93969630333567e-06,
                0.9996200155617695,
                3.1201903922734266e-05,
                0.9999810748517638,
                0.9996200154265029,
                5.8291272451829125e-05,
                0.999992110739296
            ],
            [
                2.1444943287710254e-05,
                2.2603245672867952e-06,
                2.260323758923431e-06,
                0.9669140194661122,
                1.1478770860481005e-05,
                2.5612815999423112e-06,
                5.422221555192784e-06,
                1.9947301970587145e-06,
                1.370957533676711e-06,
                2.9023133690821773e-06
            ],
            [
                0.9999938558268638,
                0.999994577780384,
                0.9999945777829707,
                0.9999974387171787,
                0.9999869928761898,
                0.9999910603068943,
                0.9999957771675626,
                0.9999869928668866,
                0.9999945777784452,
                0.9999756997563761
            ],
            [
                0.9999885212318776,
                4.539787944042276e-05,
                0.9999869928668866,
                0.9999898700102291,
                0.9999952149072168,
                0.9999930377429213,
                0.9999869928715381,
                0.9999957771655489,
                0.9999980052707541,
                0.9999724643187834
            ],
            [
                0.9999687980886459,
                2.902312677060767e-06,
                5.4222183231674305e-06,
                0.9999910603058282,
                4.222832437677995e-06,
                0.9999810748495079,
                1.670142582254589e-05,
                4.222834954561012e-06,
                1.99472924590571e-06,
                0.999985261014516
            ],
            [
                3.2887490653408545e-06,
                1.5534977545497995e-06,
                2.902311985079115e-06,
                1.3709576971160984e-06,
                0.9890130560234515,
                0.9947798733029212,
                1.2098659719601033e-06,
                1.3709576970949014e-06,
                0.00033535010215253496,
                0.9399133557169235
            ],
            [
                0.9999546021368247,
                0.9999485577680016,
                0.9999869928684375,
                0.9999417087136521,
                0.9999810748449934,
                0.999948557780265,
                0.9999599362935525,
                0.9999251537728369,
                0.999983298578157,
                0.9999251537550304
            ],
            [
                0.9999785550490354,
                0.9999982396567868,
                0.9999898700114368,
                0.9999921107383553,
                0.999985261023302,
                0.9999957771660526,
                0.9999898700102283,
                0.9999930377462413,
                0.9999952149072172,
                0.9999974387174841
            ],
            [
                0.9999989322972573,
                0.9999962733602717,
                0.999999495652652,
                0.9999982396559474,
                0.999999266178757,
                0.999995777167563,
                0.9999869928746379,
                0.9999990577551815,
                0.9999986290432835,
                0.9999974387177899
            ],
            [
                0.9999987901338838,
                0.9999982396559474,
                0.9999921107392965,
                0.9999970976869772,
                0.9999990577549568,
                0.9999987901341725,
                0.9999974387168735,
                0.9999986290426298,
                0.999999266179107,
                0.9999970976866313
            ],
            [
                6.962258739068529e-06,
                2.5612819053166966e-06,
                3.2887482811908074e-06,
                1.5534973841705173e-06,
                5.422219614951598e-06,
                2.561281599914358e-06,
                1.2098662604192665e-06,
                5.4222183231674305e-06,
                1.3007133109421283e-05,
                3.288749457383046e-06
            ],
            [
                0.9999339478553779,
                0.9999546021151535,
                0.9999832985741761,
                0.9998766054547225,
                0.9999546021313795,
                0.9999151889485854,
                0.999948557774106,
                0.9998911030519949,
                0.9999810748449992,
                0.9999852610180293
            ],
            [
                0.9999724643056297,
                0.9999546021422047,
                0.9999898700114392,
                0.9999952149037943,
                0.9999832985841324,
                0.9999921107392962,
                0.9999898700066062,
                0.9997965729784852,
                0.9999938558253983,
                0.9999898700066057
            ],
            [
                0.9999251537996486,
                0.9999921107345939,
                0.9999417087136733,
                4.222832437639588e-06,
                1.994729483694599e-06,
                0.9999646437408835,
                5.422220262195015e-06,
                0.9999967112509349,
                1.994730434816876e-06,
                2.561281600049467e-06
            ],
            [
                0.9999832985721853,
                0.9999646437450841,
                0.9999785550592659,
                0.9999687980960814,
                0.9999974387171787,
                0.9999930377437508,
                0.9999687980849252,
                0.9997388096927597,
                0.9999832985821476,
                0.9999967112493665
            ],
            [
                0.9999832985841324,
                0.9971990729606941,
                0.9999810748472509,
                0.9999339478553833,
                0.999925153746088,
                0.9999646437577489,
                0.9999957771660524,
                0.9997040429720107,
                0.9999756997476887,
                0.9999756997534912
            ],
            [
                0.9999910602994402,
                0.9998601778929518,
                0.9999930377462409,
                0.9998204719913973,
                0.9968273177303982,
                0.9999957771675625,
                1.892514372640862e-05,
                0.9999967112497586,
                0.9999945777790914,
                0.9999546021205518
            ],
            [
                0.9997694931765422,
                0.999290329714788,
                0.9996646498918861,
                0.9999339478789859,
                0.9999921107336532,
                0.9998766053957809,
                0.9999251537460739,
                0.99989110309081,
                0.999891103064815,
                0.9999151889182842
            ],
            [
                3.2887482812506295e-06,
                1.2098659719524008e-06,
                1.473898899846585e-05,
                0.9999986290427931,
                0.9999756997592761,
                2.9023133690188264e-06,
                3.535626334156318e-05,
                7.889262585211807e-06,
                1.7603425837702984e-06,
                5.144221363067589e-05
            ],
            [
                0.9999885212359814,
                0.9999724643023602,
                0.9999687980998022,
                0.9999599363221695,
                0.9999885212264018,
                0.9999930377445809,
                0.9999599363078321,
                0.9999852610215443,
                0.999925153737126,
                7.889259763857458e-06
            ],
            [
                0.9997040429014957,
                0.9999599362887278,
                0.9999974387180947,
                0.9999251537460401,
                0.9999810748472499,
                0.9999646437450763,
                0.9999724643023523,
                0.9999599362935078,
                0.9999952149037943,
                0.9999869928684378
            ],
            [
                4.539788478662733e-05,
                3.288750633518874e-06,
                1.6701419850845044e-05,
                6.9622587393661365e-06,
                0.9999986290424664,
                0.999997438717484,
                0.9999982396574163,
                0.9999852610145148,
                0.9999977396746244,
                0.00043055703152336885
            ],
            [
                9.42244256915735e-07,
                5.715005151550947e-07,
                0.9999599363221466,
                3.288749457409966e-06,
                0.9997040429727341,
                2.902312677084523e-06,
                0.9999485577802407,
                2.260324297853209e-06,
                1.5534984953199313e-06,
                5.422218323093458e-06
            ],
            [
                0.9999962733620489,
                0.9999952149060762,
                0.9999962733589396,
                0.9999984465015047,
                0.9999967112497589,
                0.9999980052693274,
                0.9999930377462405,
                0.9999930377412609,
                0.999995214906076,
                0.9999930377437518
            ],
            [
                0.9999995549147889,
                0.9999995549147889,
                0.9999991684720716,
                0.9999996072139402,
                0.9999994284993485,
                0.9999991684719723,
                0.9999994284997574,
                0.9999987901344608,
                0.9999984465024306,
                0.9999974387184004
            ],
            [
                0.9999852610162746,
                0.9999417087136868,
                0.9999885212332438,
                0.9999785550464778,
                0.9999687980737576,
                0.9999967112509347,
                0.999988521234612,
                0.9999869928730871,
                0.999993855824666,
                0.9999646437408781
            ],
            [
                1.1478766756653273e-05,
                2.144495607789177e-05,
                0.9999921107336545,
                0.9998204719913973,
                7.889265406681968e-06,
                5.829127936084435e-05,
                5.8291251608160896e-05,
                0.9999832985741774,
                0.9997965730995142,
                0.9999485577802343
            ],
            [
                4.006369694755693e-05,
                3.120192622962497e-05,
                7.484623611103256e-05,
                2.561283432005142e-06,
                3.7266379512857925e-06,
                0.9999898700078143,
                1.6701419849933667e-05,
                3.120191136263821e-05,
                0.9999930377429215,
                1.76034300345598e-06
            ],
            [
                0.9999945777829703,
                0.9999982396559474,
                0.999964643732439,
                0.9999251537728298,
                0.9999898700078147,
                0.9999885212264029,
                0.999989870011438,
                0.9999485577741333,
                0.9999869928684365,
                0.9999756997592761
            ],
            [
                0.9999810748495074,
                0.9999756997650686,
                0.9999832985841314,
                0.9999756997650695,
                0.9999832985801496,
                0.9999810748472526,
                0.000552778519610625,
                0.9999832985701977,
                0.9999962733598274,
                0.9999869928715376
            ],
            [
                0.9999996940978825,
                0.9999987901344607,
                0.9999991684715758,
                0.9999957771665557,
                0.9999989322968753,
                0.9999970976887069,
                0.9999977396746245,
                0.9999991684715759,
                0.9999852610204413,
                0.9999952149066468
            ],
            [
                0.9996646498114128,
                0.9999151889789025,
                0.999925153799579,
                0.9982992775304547,
                0.999941708741432,
                0.9997694933129441,
                0.9996200155625101,
                0.9997965730757068,
                0.9998415637268547,
                0.9999038976195234
            ],
            [
                0.999993037745411,
                0.9999984465028012,
                0.9999945777810305,
                0.9999938558275963,
                0.9999869928761926,
                0.999993855826864,
                0.99995993629351,
                0.9999957771645429,
                0.9999967112521118,
                0.9999930377454114
            ],
            [
                0.9999687980737836,
                0.9999869928730926,
                0.9999417087067817,
                0.9999785550567065,
                0.9999852610162767,
                0.999978555046529,
                0.9999756997563796,
                0.999959936312646,
                0.9999832985721865,
                0.9999832985761665
            ],
            [
                8.939699499627926e-06,
                0.00023050676858724428,
                7.889266346603015e-06,
                3.120191507776674e-05,
                2.430023492769181e-05,
                5.422221555133606e-06,
                6.144176798870286e-06,
                1.6701427813417103e-05,
                1.1478764019557924e-05,
                5.422218322664422e-06
            ]
        ]
    },
    {
        "q_id": "10769_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            110,
            111,
            112,
            113,
            115,
            116,
            117,
            118,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                7.889260704631679e-06,
                4.222831934156396e-06,
                7.889265407004852e-06,
                1.0129987354366822e-05,
                1.4738987236641703e-05,
                1.1478764015736973e-05,
                4.785096775998733e-06,
                2.1444956078515887e-05,
                1.8925141472773765e-05,
                1.0129993392342568e-05
            ],
            [
                5.422220262195015e-06,
                8.939696301140427e-06,
                5.422217676925328e-06,
                1.147877223059538e-05,
                1.300712846217e-05,
                1.1478766756214804e-05,
                1.8925155008941717e-05,
                7.889261643727018e-06,
                6.962253759581752e-06,
                1.012999581021488e-05
            ],
            [
                0.9999687980998099,
                0.9999687980998413,
                0.9149009526726545,
                0.9999724642957817,
                0.9999599363030525,
                0.9999756997476967,
                0.9999485577740759,
                0.9999417087067041,
                0.9999599362983116,
                0.9999885212359844
            ],
            [
                2.1444956074147067e-05,
                4.5397874031792504e-05,
                8.939698433584547e-06,
                2.902312330849511e-06,
                2.902312330849511e-06,
                7.889259764273619e-06,
                2.561283431888668e-06,
                5.422221554926484e-06,
                0.00013982209034176134,
                1.1478764018827141e-05
            ],
            [
                0.9999756997679721,
                0.99979657307584,
                0.999959936298269,
                0.9999810748585277,
                0.9997040429361289,
                0.9998601778927565,
                0.9997040430063856,
                0.9991959139987576,
                0.9984988177252897,
                0.999769493176247
            ],
            [
                2.5612828213690224e-06,
                2.4300249404340734e-05,
                7.889261644760245e-06,
                1.8925141454184818e-05,
                1.3007133114318805e-05,
                4.222833444429485e-06,
                4.222833947897496e-06,
                5.422218323231539e-06,
                6.962257908348587e-06,
                5.42221767672807e-06
            ],
            [
                1.6701417859944398e-05,
                0.998073265686804,
                6.962256249606473e-06,
                0.0028009267037433995,
                2.5612819052654485e-06,
                2.90231163910023e-06,
                2.561282210590951e-06,
                1.9947301970813926e-06,
                7.889259764359722e-06,
                4.222832941072913e-06
            ],
            [
                2.4300246522270504e-05,
                3.2887482810801374e-06,
                3.726640616477725e-06,
                2.260324836651547e-06,
                1.4738985484549675e-05,
                3.7266388396975786e-06,
                8.939696303758459e-06,
                3.2887490653109436e-06,
                4.785095064523075e-06,
                1.1478766753751021e-05
            ],
            [
                6.96225873895455e-06,
                1.1478769493916314e-05,
                1.3007125363057018e-05,
                7.889261644358435e-06,
                3.726639284050988e-06,
                1.6701415869924985e-05,
                7.889262581337206e-06,
                1.1478766757049986e-05,
                3.1201926243586504e-05,
                2.561281599776919e-06
            ],
            [
                8.939697369151141e-06,
                1.5534984952492866e-06,
                2.1444956072586775e-05,
                1.2098659719524008e-06,
                6.962259569484628e-06,
                1.0129993391236997e-05,
                4.222833443553821e-06,
                3.288749065209246e-06,
                1.4738983720715225e-05,
                2.1444945855248125e-05
            ],
            [
                7.889260701467423e-06,
                5.422220262599396e-06,
                2.1444948409679848e-05,
                4.222834451169694e-06,
                3.5356259104666025e-05,
                1.3007134665413997e-05,
                1.3007126913346863e-05,
                2.43002378338943e-05,
                0.00010889693506777467,
                3.726639283901856e-06
            ],
            [
                1.0129987357158383e-05,
                6.144177530146464e-06,
                1.4738983725809062e-05,
                3.7266383937647876e-06,
                2.1444945854624007e-05,
                1.3007126913583456e-05,
                1.6701421843720577e-05,
                3.2887490653109436e-06,
                0.9859363716266567,
                5.4222202624563834e-06
            ],
            [
                8.93969630333567e-06,
                8.939696302831578e-06,
                8.939695238439078e-06,
                7.889265407004852e-06,
                2.561283431986506e-06,
                6.9622587396067566e-06,
                1.0129995809247506e-05,
                4.2228319341064674e-06,
                1.3007128462785148e-05,
                2.4300246520590875e-05
            ],
            [
                4.222833947029514e-06,
                2.9023123310290063e-06,
                1.760344052632596e-06,
                3.2887502413389517e-06,
                4.22283545795623e-06,
                3.2887498492936755e-06,
                1.0129992186202796e-05,
                1.473898197063434e-05,
                7.889260704631679e-06,
                7.889260704308795e-06
            ],
            [
                3.5356267537559426e-05,
                0.9995694429620762,
                1.0129993394664264e-05,
                6.962256249606473e-06,
                7.889259764273619e-06,
                1.8925157259824262e-05,
                1.892515499135105e-05,
                3.2887486729876365e-06,
                2.430023493485234e-05,
                4.785096205882502e-06
            ],
            [
                1.0129992186939844e-05,
                1.4738988999377379e-05,
                1.6701423831188846e-05,
                7.889266345196678e-06,
                7.88926070097951e-06,
                4.785092783210732e-06,
                1.6701425824307884e-05,
                4.78509563535725e-06,
                2.1444945855248125e-05,
                2.902311293147782e-06
            ],
            [
                4.785093923768848e-06,
                7.889259764359722e-06,
                4.785094494402695e-06,
                1.0129995807441742e-05,
                3.7266410608245674e-06,
                6.962254589705982e-06,
                2.2603251061849014e-06,
                8.315283250260307e-07,
                4.785094494750855e-06,
                1.4738988997768797e-05
            ],
            [
                3.2887490652810324e-06,
                5.422218969661113e-06,
                3.7266406167827664e-06,
                4.222831934286977e-06,
                6.9622595694023114e-06,
                6.962253759271479e-06,
                4.785096205717126e-06,
                6.96225956921868e-06,
                1.0677026154619133e-06,
                3.2887482811908074e-06
            ],
            [
                2.1444950957402623e-05,
                1.0129992186387057e-05,
                6.962259568509485e-06,
                2.902311639126627e-06,
                8.939698434332555e-06,
                4.222834954461155e-06,
                5.4222215550004564e-06,
                1.473898197063434e-05,
                1.1478768125201194e-05,
                NaN
            ],
            [
                2.1444948409679848e-05,
                4.222832941034507e-06,
                1.8925148236123232e-05,
                4.539787398819316e-05,
                1.4738980214843206e-05,
                6.962259568509485e-06,
                4.539785227077382e-05,
                2.144495096083526e-05,
                3.120190012417845e-05,
                4.785093923982095e-06
            ],
            [
                8.939698434966738e-06,
                0.9940889310999756,
                6.962256249517824e-06,
                1.067702615468225e-06,
                1.4738983726559732e-05,
                1.3007134659451795e-05,
                0.9999417087484088,
                1.1478765388105516e-05,
                1.3007125361448172e-05,
                2.7535700931292276e-05
            ],
            [
                1.6701423833831836e-05,
                8.93969417214416e-06,
                2.260324567227179e-06,
                0.9324533130837862,
                1.0677029972522599e-06,
                6.962254589705982e-06,
                3.7266392838544054e-06,
                3.288747889038086e-06,
                6.14417313680765e-06,
                1.5534983101393749e-06
            ],
            [
                1.300712381094558e-05,
                1.0129988563343644e-05,
                1.6701423835320418e-05,
                7.484625393265086e-05,
                1.1478769492392108e-05,
                3.12019002110123e-05,
                1.1478766756653273e-05,
                6.962256249327861e-06,
                4.222834954514924e-06,
                5.8291251611977796e-05
            ],
            [
                1.6701425825492673e-05,
                4.785096776433933e-06,
                NaN,
                2.5612812947077304e-06,
                6.9622579095833456e-06,
                1.4738976699427788e-05,
                8.939698434495167e-06,
                5.42221961567159e-06,
                1.473898021457511e-05,
                4.785095635624897e-06
            ],
            [
                6.144176066521288e-06,
                8.939693106329072e-06,
                1.4738988998787566e-05,
                1.892515500663531e-05,
                3.288749065167371e-06,
                1.1478772229989872e-05,
                7.889260704631679e-06,
                1.2098652507847127e-06,
                1.8925152750692706e-05,
                6.96225956921868e-06
            ],
            [
                1.0677028700130727e-06,
                7.338207180661203e-07,
                1.670142781709299e-05,
                2.4300234936443568e-05,
                4.785096205830278e-06,
                2.902311985146426e-06,
                1.0129990977759901e-05,
                1.14787735942999e-05,
                3.2887482811908074e-06,
                1.473898197154587e-05
            ],
            [
                0.9999756997621821,
                0.9984988180580578,
                0.9998766054115303,
                0.9964063974269168,
                0.9999151889587689,
                0.9999417087345258,
                0.9999646437450808,
                0.9999687980886445,
                0.9998766053664693,
                0.9994472212654442
            ],
            [
                0.9999785550592593,
                0.9996646497708933,
                0.9999687980998037,
                0.9999785550515911,
                0.999841563729395,
                0.9999756997563846,
                0.9998204720157072,
                0.9999810748427448,
                0.9999646437493439,
                0.9999339478553626
            ],
            [
                0.9998415637272535,
                0.9999724643024926,
                0.9999810748562988,
                0.9999852610180835,
                0.9997694933166732,
                0.9999957771650458,
                0.9996200155718846,
                0.9993736658994573,
                0.9996646497719275,
                0.999796572979246
            ],
            [
                1.3007128463352975e-05,
                7.889261644631091e-06,
                1.7603434231505666e-06,
                1.4738976698006875e-05,
                2.2603251061232293e-06,
                2.7535704226635563e-05,
                4.222833947428939e-06,
                1.6701419848961534e-05,
                1.3007125361755747e-05,
                1.147876675466972e-05
            ],
            [
                1.01299946023704e-05,
                6.144173136729416e-06,
                1.4738981968864903e-05,
                3.7266379512112265e-06,
                1.3709573702647743e-06,
                1.994730196992497e-06,
                2.5612822106841303e-06,
                2.5612831266165976e-06,
                1.0129990979381404e-05,
                3.7266383954560706e-06
            ],
            [
                0.9947798730683634,
                0.9980732651190716,
                1.994729721436347e-06,
                0.9997040427953574,
                4.22283294098842e-06,
                8.93970056350871e-06,
                4.222834451327159e-06,
                0.9959298615932454,
                6.962254588724508e-06,
                6.144174601935314e-06
            ],
            [
                3.2887494569044713e-06,
                1.3007125360146898e-05,
                6.9622545892184106e-06,
                4.2228319341064674e-06,
                4.222835457852533e-06,
                3.7266388395111645e-06,
                1.3007133115903994e-05,
                7.889266347133978e-06,
                3.5356259125502595e-05,
                4.222833444168322e-06
            ],
            [
                1.3007123812057577e-05,
                1.1478773598914277e-05,
                1.0129990979381404e-05,
                6.144177531532303e-06,
                8.939700565834043e-06,
                3.535624227875767e-05,
                1.9947306725868575e-06,
                2.902311984783477e-06,
                1.3709576969402887e-06,
                8.939700566289352e-06
            ],
            [
                0.9998911031037506,
                0.9998204719483123,
                0.9997965730027248,
                0.999738809784176,
                0.999841563840392,
                0.9997965729341083,
                0.9999921107364764,
                0.9999646437577323,
                0.9999417087345085,
                0.9998911031167164
            ],
            [
                2.5612825160096693e-06,
                3.120190764058611e-05,
                2.9023112930659533e-06,
                1.7603438428660665e-06,
                6.144172403715875e-06,
                3.2887478892055875e-06,
                3.726639727750306e-06,
                7.889261644501938e-06,
                6.962254589528684e-06,
                3.288748673295719e-06
            ],
            [
                0.9999785550414063,
                0.9994472214525726,
                0.9997694932049197,
                0.999985261016284,
                0.9999251537818146,
                0.9999151889586856,
                0.9999986290432837,
                0.9999921107383568,
                0.99999211073648,
                0.9999599363221815
            ],
            [
                8.939693106873817e-06,
                1.1478768124324254e-05,
                6.962253759486771e-06,
                8.939695237813028e-06,
                1.8925143722381014e-05,
                2.561283431916622e-06,
                1.1478766756444477e-05,
                1.3007133114602719e-05,
                4.7850950647493785e-06,
                5.422218969306048e-06
            ],
            [
                4.7850956351657615e-06,
                1.6701419853184244e-05,
                1.4738987239698005e-05,
                1.3007128451712492e-05,
                5.42222155426567e-06,
                2.2603248365343694e-06,
                1.0677024881382882e-06,
                3.288749457432399e-06,
                1.1478773599102191e-05,
                1.553498495189945e-06
            ],
            [
                2.902311984952413e-06,
                2.2603248365960415e-06,
                1.0129990978644356e-05,
                1.3007134665934505e-05,
                6.1441760667392215e-06,
                1.670142383167491e-05,
                1.0129993395088066e-05,
                8.939699500489763e-06,
                2.753569437266178e-05,
                7.889260704179641e-06
            ],
            [
                0.9994472212622927,
                0.9999724643089085,
                0.9998766053958636,
                0.9997694933482233,
                0.999769493312555,
                0.9999151889486779,
                0.9998204720143622,
                0.9999852610233015,
                0.9998204720772462,
                0.9998204719917109
            ],
            [
                0.9998766054695848,
                3.5356238062828204e-05,
                7.889260703462123e-06,
                6.962258738827909e-06,
                4.222833444467892e-06,
                2.5612822106841303e-06,
                4.785094492661896e-06,
                6.144175334172377e-06,
                5.422220908762902e-06,
                3.726640172120768e-06
            ],
            [
                4.22283545808297e-06,
                0.9982992776071441,
                3.288750633488963e-06,
                0.9986749778593038,
                4.222834954280646e-06,
                4.785092783319532e-06,
                1.994729721396435e-06,
                1.3007128461507534e-05,
                8.939694172290508e-06,
                0.9997388096606132
            ],
            [
                0.0015011825851427678,
                3.120190765193695e-05,
                0.9999724643089352,
                0.9999251537464137,
                3.5356238040705445e-05,
                0.9999687980961468,
                0.9995121429403135,
                0.9997965731010088,
                0.9999785550593431,
                0.9986749777129579
            ],
            [
                6.144176066443055e-06,
                6.144174601879434e-06,
                2.5612825160096693e-06,
                1.3007134666431358e-05,
                0.9947798749690068,
                6.144177530794679e-06,
                2.7535687816036267e-05,
                1.3007130010117919e-05,
                4.785093924156175e-06,
                7.484620031370475e-05
            ],
            [
                5.422219615967477e-06,
                1.6701419847381817e-05,
                1.0129992187253088e-05,
                2.9023119851266288e-06,
                5.422218323231539e-06,
                4.006368262111344e-05,
                2.902311293147782e-06,
                2.4300243628620005e-05,
                6.144175334015912e-06,
                1.6701415868193372e-05
            ],
            [
                0.9999251537640109,
                0.9999485577802131,
                0.9997040429012288,
                0.9998766054259134,
                0.9999038975625507,
                0.9999945777803851,
                4.539787398158721e-05,
                0.9999687980923594,
                0.9999417087066808,
                0.9999599363221565
            ],
            [
                3.535626333641835e-05,
                1.4738976699427788e-05,
                8.939698435454571e-06,
                1.1478765388711023e-05,
                1.1478764020372226e-05,
                2.1444958635523312e-05,
                1.300712846477255e-05,
                3.7266383952696564e-06,
                1.0129994601688632e-05,
                2.902311984989368e-06
            ],
            [
                0.9820137926369572,
                2.902312677104321e-06,
                1.012998977198894e-05,
                1.0129987357020188e-05,
                0.9997694932871285,
                1.0129993393319151e-05,
                0.9978172836550594,
                0.9992903295471129,
                5.144223190264361e-05,
                0.9996200154764485
            ],
            [
                0.9999599363173749,
                0.9989677689636053,
                0.9999546021206656,
                0.999995214905506,
                0.9999339478396116,
                0.9999980052693282,
                0.9999546021313795,
                0.9999756997534879,
                0.9999938558246667,
                0.9999417087209933
            ],
            [
                0.9998415637265112,
                0.9999038975392831,
                0.9988304895940591,
                0.9999869928684411,
                0.9999546021205443,
                0.9998911031297076,
                0.9999724643089131,
                0.9999832985721836,
                0.9998204719910343,
                0.999876605439948
            ],
            [
                4.785093923916815e-06,
                2.430023203572232e-05,
                3.7266401724291984e-06,
                3.2887478891128633e-06,
                3.1201926235527406e-05,
                2.5612816000331606e-06,
                5.422218968931258e-06,
                1.4738980208864656e-05,
                5.422220262333096e-06,
                3.288750241410738e-06
            ],
            [
                3.288749065029781e-06,
                6.962254588433232e-06,
                6.144173135628569e-06,
                7.889264465239894e-06,
                2.9023130229209922e-06,
                2.9023109469023766e-06,
                7.338211554641698e-07,
                3.2887494572095624e-06,
                3.288748281220719e-06,
                1.4738978454172926e-05
            ],
            [
                4.785093923916815e-06,
                1.0129995809929273e-05,
                1.0129992186387057e-05,
                6.144172404380855e-06,
                1.670141786036971e-05,
                6.9622554187981796e-06,
                5.422221555133606e-06,
                6.962257909121104e-06,
                0.9999921107364748,
                6.14417313680765e-06
            ],
            [
                3.72664017246987e-06,
                1.6701419849447602e-05,
                6.962253759157502e-06,
                5.8291279369750445e-05,
                1.0129990979694647e-05,
                1.1478773598099973e-05,
                7.88925976397226e-06,
                3.726639728184142e-06,
                6.962255419868303e-06,
                1.8925145977014425e-05
            ],
            [
                8.939699498587217e-06,
                1.3007128463069061e-05,
                5.4222202617511845e-06,
                3.726638839806038e-06,
                1.300712846115264e-05,
                1.1478768121735194e-05,
                8.93969630317306e-06,
                4.222833947820683e-06,
                5.42222090882208e-06,
                7.889266345196678e-06
            ],
            [
                0.9999810748585449,
                0.9998415638216854,
                0.9999599362934992,
                0.999876605381109,
                0.9996646498524105,
                0.9999038976195668,
                0.9999546021152708,
                0.9989677688263956,
                0.9999646437324913,
                0.9998204720129281
            ],
            [
                1.8925148239772175e-05,
                7.889263526093993e-06,
                4.7850967748236935e-06,
                4.222832939663403e-06,
                4.78509506499309e-06,
                0.9995121427730516,
                8.93970056668775e-06,
                1.7603427935518875e-06,
                0.9975273771913783,
                3.7266410596010127e-06
            ],
            [
                2.902313023039776e-06,
                1.300713466619476e-05,
                7.88926164421493e-06,
                3.726638839806038e-06,
                1.3007126909916233e-05,
                1.4738976696800444e-05,
                3.288748673295719e-06,
                6.962255419051463e-06,
                2.7535704187167975e-05,
                1.670142781478417e-05
            ],
            [
                0.9995121427639122,
                0.9999546021422047,
                0.9999852610215506,
                0.9999967112493665,
                0.9999869928715501,
                0.9996200155204467,
                0.9998766053679342,
                0.9998601778943615,
                0.9999339478475612,
                0.9998415637273435
            ],
            [
                1.0129995809929273e-05,
                1.30071315640992e-05,
                4.78509563550957e-06,
                1.4738985479697128e-05,
                1.0129990979547237e-05,
                6.962258739271155e-06,
                1.1478773597118638e-05,
                3.120190391853445e-05,
                1.3007133114318805e-05,
                1.4738983728784933e-05
            ],
            [
                1.3007123812057577e-05,
                1.5534983100920427e-06,
                1.7603440527046419e-06,
                6.47594643788744e-07,
                3.5356242272712497e-05,
                1.209865395009523e-06,
                2.2603242978213447e-06,
                1.9947290080343035e-06,
                7.889263524615903e-06,
                4.78509563535725e-06
            ],
            [
                6.962256244819412e-06,
                NaN,
                1.147876812238246e-05,
                8.939699499823059e-06,
                4.785095060284228e-06,
                0.9998204720773533,
                1.3007131563507714e-05,
                3.120190020613144e-05,
                6.605215241483182e-05,
                4.006369693910372e-05
            ],
            [
                3.288747889178668e-06,
                4.222835458044565e-06,
                1.7603434231385591e-06,
                7.889259763469998e-06,
                1.4738987240824012e-05,
                2.561283431986506e-06,
                7.889263525534328e-06,
                1.1478772229551402e-05,
                6.962253759670401e-06,
                3.72664061671159e-06
            ],
            [
                3.726638839806038e-06,
                6.144176797283277e-06,
                3.2887490649221017e-06,
                9.422449308420983e-07,
                1.5534983100228109e-06,
                1.5534984952492866e-06,
                1.30071315640992e-05,
                1.3007131562514014e-05,
                1.994729721436347e-06,
                2.14449509695729e-05
            ],
            [
                0.9999038976080066,
                0.9995121428859314,
                0.9996646497744448,
                0.9998766054403987,
                0.999738809568589,
                0.9999687980997938,
                0.9999885212318764,
                0.999933947847516,
                0.9997388096622472,
                0.9996646498944132
            ],
            [
                4.222832940715735e-06,
                2.4300249419722622e-05,
                7.889260703763482e-06,
                3.2887494573232236e-06,
                2.430024072188641e-05,
                1.0129989770662257e-05,
                1.4738980206290928e-05,
                1.2098659719441482e-06,
                1.1478769493540482e-05,
                6.96225873895455e-06
            ],
            [
                1.892515500663531e-05,
                4.222834451215781e-06,
                2.1444948408275583e-05,
                2.144494072961245e-05,
                1.8925141472360678e-05,
                4.785096205582214e-06,
                1.3007128463352975e-05,
                3.726640616423495e-06,
                4.785093353787868e-06,
                2.4300243624818735e-05
            ],
            [
                0.9993736657552127,
                0.9999151889188692,
                0.9994472213913113,
                1.012998735687278e-05,
                2.5612825160271407e-06,
                0.9991959142393704,
                0.9982992778522344,
                0.9998415637270507,
                0.9996646498125836,
                1.1478773597390071e-05
            ],
            [
                8.93970056424046e-06,
                3.726639283440905e-06,
                6.144173136131494e-06,
                6.605215245616007e-05,
                6.144172404302622e-06,
                6.962256249517824e-06,
                1.6701427815999337e-05,
                4.785093353013212e-06,
                1.4738976698006875e-05,
                2.4300249412738893e-05
            ],
            [
                1.1478770861859053e-05,
                6.962255419804982e-06,
                4.222834451169694e-06,
                2.260324028351814e-06,
                8.939700565834043e-06,
                1.6701423834591316e-05,
                1.012998977213635e-05,
                2.2603248367512505e-06,
                6.962259568230874e-06,
                3.726641061085547e-06
            ],
            [
                2.7535681252300143e-05,
                1.7603440526662173e-06,
                1.6701419853184244e-05,
                3.12019113570763e-05,
                5.144219514537961e-05,
                0.9995121428892523,
                7.484620904971269e-05,
                1.8925157264023994e-05,
                3.2887506332945414e-06,
                2.1444953504969666e-05
            ],
            [
                0.99994170874838,
                0.9999646437367081,
                0.9999417087067168,
                0.9999832985721844,
                0.9999832985721833,
                0.9999251537995992,
                0.9998601779594297,
                0.9999339478554053,
                0.9999967112509347,
                0.9999646437493181
            ],
            [
                4.785094494716039e-06,
                0.9999151889587954,
                7.889263525534328e-06,
                1.670142980222277e-05,
                2.7535684513582775e-05,
                1.1478768123823146e-05,
                8.939693106020111e-06,
                2.561282515820982e-06,
                6.962259569484628e-06,
                1.4738987240824012e-05
            ],
            [
                2.144494839938192e-05,
                1.89251482406672e-05,
                6.14417532168865e-06,
                8.939700562988356e-06,
                4.222833947674739e-06,
                6.1441753337365085e-06,
                4.785093923768848e-06,
                4.222831933564939e-06,
                2.9023109465909e-06,
                5.829125118575735e-05
            ],
            [
                6.144173869312763e-06,
                2.144494585197151e-05,
                2.5612825160271407e-06,
                2.753570422373059e-05,
                6.144176798255599e-06,
                8.939699500636112e-06,
                3.7266410599873986e-06,
                2.902311293147782e-06,
                8.939693105272102e-06,
                1.0129992185981682e-05
            ],
            [
                0.9964063971726401,
                7.88926540679677e-06,
                3.7266379512857925e-06,
                5.4222202621161125e-06,
                1.4738985482753428e-05,
                7.8892625849535e-06,
                5.422217677028889e-06,
                3.288749065209246e-06,
                2.260323489490968e-06,
                6.144174601588856e-06
            ],
            [
                0.9994472213882563,
                0.9982992777170394,
                0.9998601779427456,
                0.9999724642957902,
                0.9999038976085688,
                0.9986749778600742,
                0.9988304898629108,
                0.9994472213914721,
                0.9997040429009619,
                0.9988304894756121
            ],
            [
                1.8925143724239906e-05,
                1.4738983727256784e-05,
                5.422220908018252e-06,
                5.14422319797437e-05,
                6.144174601309452e-06,
                7.889259762106714e-06,
                1.3007134663521234e-05,
                1.3709578605542582e-06,
                2.2603253755476615e-06,
                2.1444945844872185e-05
            ],
            [
                9.422443691996268e-07,
                NaN,
                8.939697366029015e-06,
                1.89251526251828e-05,
                5.422221554038823e-06,
                6.144177530291754e-06,
                6.962258731659979e-06,
                3.288749065167371e-06,
                1.7603438427243761e-06,
                3.72664061681327e-06
            ],
            [
                6.962255419380732e-06,
                8.93969630317306e-06,
                1.8925141469950998e-05,
                4.785094494576774e-06,
                3.7266401721817755e-06,
                1.9947299591826594e-06,
                3.7266406144373377e-06,
                1.473898372275276e-05,
                4.222832940577472e-06,
                7.88925976418034e-06
            ],
            [
                0.03308598196401031,
                0.999876605381109,
                0.99987660541127,
                0.9999485577802578,
                0.9984988177176117,
                0.9999417087275605,
                0.9999251537997833,
                0.9995694429157194,
                0.9999869928715439,
                0.99989110313024
            ],
            [
                0.9999646437324424,
                0.9999852610162787,
                0.999569443014846,
                0.9991959140562334,
                0.9995121428250495,
                0.9998766053817356,
                0.9999417087553831,
                0.9999967112493666,
                0.9999546021476324,
                0.9999962733593839
            ],
            [
                6.96225375863827e-06,
                1.1478764017720528e-05,
                3.120191504167108e-05,
                5.422218323290717e-06,
                1.012998735462479e-05,
                2.902313368860448e-06,
                4.222834451169694e-06,
                6.96225956921868e-06,
                1.300713466420736e-05,
                2.90231094680735e-06
            ],
            [
                2.753569763544853e-05,
                1.4738981965808603e-05,
                1.6701415867221242e-05,
                7.889262585082652e-06,
                1.1478766755985128e-05,
                5.422219615898437e-06,
                3.288749457383046e-06,
                1.0129990977004428e-05,
                7.889263525405172e-06,
                1.012999460150437e-05
            ],
            [
                8.939698434495167e-06,
                2.4300246523066122e-05,
                6.962258739169842e-06,
                6.1441767989541075e-06,
                2.144495352533148e-05,
                2.2603245672025095e-06,
                3.2887478891128633e-06,
                4.222831934286977e-06,
                3.726640172290235e-06,
                1.9947297214182054e-06
            ],
            [
                5.422218322664422e-06,
                1.3007134659924986e-05,
                6.962256249682458e-06,
                2.7535691075316245e-05,
                1.7603440526806268e-06,
                2.2603237589676295e-06,
                4.2228344511197656e-06,
                2.1444950959977102e-05,
                1.4738980214280206e-05,
                5.8291258551949844e-05
            ],
            [
                0.9992903294482086,
                0.9999038975736445,
                0.9995121429455076,
                0.9999151889587954,
                0.9999417087067868,
                0.9999151889587515,
                0.9999485577680239,
                0.9999785550413784,
                0.9999852610110026,
                0.9999869928699903
            ],
            [
                7.889262584350785e-06,
                4.222834451292594e-06,
                1.892515500450102e-05,
                2.5612834318257725e-06,
                7.338212429240558e-07,
                4.785094493836935e-06,
                2.1444958625381407e-05,
                1.0129992186589747e-05,
                1.3709578605542582e-06,
                3.726640171686931e-06
            ],
            [
                1.473898899742027e-05,
                0.0021827161557945196,
                0.9984988175855166,
                1.3007123811229494e-05,
                1.3007134665674251e-05,
                3.2887482810382622e-06,
                3.7266406160845606e-06,
                1.1478773597870298e-05,
                7.889265406438011e-06,
                1.0129989768911772e-05
            ],
            [
                6.962253759670401e-06,
                1.7603432132624344e-06,
                8.315279284937352e-07,
                7.889259763728304e-06,
                6.962259569313662e-06,
                1.0129992185981682e-05,
                1.9947304348595095e-06,
                8.939696304213768e-06,
                1.0129990979031306e-05,
                4.7850939242083995e-06
            ],
            [
                3.2887498493325602e-06,
                7.88926540679677e-06,
                1.994729245822257e-06,
                5.422218969720291e-06,
                NaN,
                4.785096205882502e-06,
                6.962259568509485e-06,
                6.14417313680765e-06,
                1.4738980213341866e-05,
                1.8925145983348442e-05
            ],
            [
                6.1441753335241615e-06,
                6.962253759271479e-06,
                2.753569438157704e-05,
                2.902311639126627e-06,
                3.1201926195004916e-05,
                1.0129987356706945e-05,
                3.7266401719174067e-06,
                6.144177531660828e-06,
                1.0129989768322136e-05,
                1.1478770862067849e-05
            ],
            [
                0.999738809691521,
                0.9998911031309863,
                0.9999417087205921,
                0.9998415637650148,
                0.9999898700041914,
                0.9999546021476873,
                0.9999599363079026,
                0.9999417087553089,
                0.9999339478718843,
                0.9984988180603264
            ],
            [
                1.0129993393945642e-05,
                6.605216017444941e-05,
                1.1478764019996392e-05,
                1.670142781478417e-05,
                2.144494329348333e-05,
                NaN,
                2.260323758598623e-06,
                6.605215238359538e-05,
                2.1444940743225995e-05,
                0.992422757527557
            ],
            [
                8.939696303010449e-06,
                4.2228344511197656e-06,
                4.222832940339353e-06,
                1.1478768117434013e-05,
                1.670142581762446e-05,
                7.889263525405172e-06,
                6.144172403201774e-06,
                5.422220906558541e-06,
                2.5612819051373276e-06,
                2.9023130228444433e-06
            ],
            [
                3.7266406160845606e-06,
                1.8925143728749452e-05,
                6.144176799283803e-06,
                1.1478773595343877e-05,
                5.422218969661113e-06,
                2.2603242977802297e-06,
                5.422217676654099e-06,
                1.0129987355343409e-05,
                3.7266388397382506e-06,
                1.3007128461838766e-05
            ],
            [
                3.5356242266024216e-05,
                2.9023119850210436e-06,
                2.753568781222975e-05,
                1.670141785237998e-05,
                2.5612815999679353e-06,
                0.9996200154754977,
                4.78509392429544e-06,
                1.300713466619476e-05,
                0.9986749778928865,
                4.7850950649408664e-06
            ],
            [
                6.144175333926503e-06,
                2.144494329192304e-05,
                4.22283394762097e-06,
                5.4222209070122355e-06,
                4.22283394762097e-06,
                8.939699500766203e-06,
                6.144176066264237e-06,
                1.7603438427852151e-06,
                2.144495863614743e-05,
                4.22283394786293e-06
            ],
            [
                1.1478768125577027e-05,
                7.889259763857458e-06,
                1.6701419848475466e-05,
                7.889262584350785e-06,
                3.288748673295719e-06,
                1.6701419846288166e-05,
                1.670142781086525e-05,
                1.4738976697229395e-05,
                1.8925150482908516e-05,
                4.7850933519861414e-06
            ],
            [
                2.9023109467070445e-06,
                8.939699501132077e-06,
                2.260325106237323e-06,
                2.561283431942246e-06,
                1.4738978456398127e-05,
                1.012998977198894e-05,
                3.2887498493983645e-06,
                1.6701419853184244e-05,
                NaN,
                2.561282210590951e-06
            ],
            [
                NaN,
                3.288750633545794e-06,
                8.939695235487695e-06,
                9.422445938557184e-07,
                1.9947292458930106e-06,
                3.1201907645920996e-05,
                7.889262584508638e-06,
                8.93969630388855e-06,
                6.96225956837018e-06,
                2.902312677060767e-06
            ],
            [
                1.1478772229989872e-05,
                2.7535681179776003e-05,
                1.4738978439695717e-05,
                1.8925152749659986e-05,
                1.6701423834226767e-05,
                7.8892654060075e-06,
                1.3007130014376633e-05,
                1.3007126906982452e-05,
                7.889260703619978e-06,
                6.962253759670401e-06
            ],
            [
                0.9999339478789658,
                0.999959936317401,
                0.9998415638405949,
                0.9997694933398059,
                0.9998415637468498,
                0.9996646499699592,
                0.9999151889488815,
                0.9999546021259847,
                0.9998601778761151,
                0.9999251537907204
            ],
            [
                0.00012339460234997389,
                NaN,
                7.889265406904397e-06,
                1.0129988562661878e-05,
                4.785094491582601e-06,
                1.14787708580381e-05,
                2.1444956072586775e-05,
                5.422217029509618e-06,
                1.1478765387416494e-05,
                3.7266406165827946e-06
            ],
            [
                8.93969417167259e-06,
                2.7535691096552598e-05,
                1.670142781636389e-05,
                1.3709578604495207e-06,
                2.7535700932494338e-05,
                2.2603248367512505e-06,
                1.994730672496148e-06,
                8.93969417214416e-06,
                1.147876538330323e-05,
                2.9023109471188266e-06
            ],
            [
                1.4738980212644815e-05,
                2.561281905293402e-06,
                1.4738985483128763e-05,
                7.889259762494174e-06,
                1.7603438425882895e-06,
                1.6701425823882575e-05,
                0.9993736657038762,
                6.144174600605357e-06,
                5.144222569571309e-05,
                3.535626334645077e-05
            ],
            [
                4.006370649866785e-05,
                0.9890130552644538,
                1.3007133113703658e-05,
                7.484625385369293e-05,
                8.9396973679153e-06,
                4.5397884856980825e-05,
                1.012999460150437e-05,
                0.8670357649558007,
                3.535623805498234e-05,
                0.9998601778598543
            ],
            [
                0.999373665899275,
                4.785093353874907e-06,
                0.9998415637456558,
                0.9999485577741407,
                0.9998601779430081,
                0.9991959139491385,
                0.9975273765671371,
                6.144177531208195e-06,
                0.9984988175130998,
                2.1444958633416914e-05
            ],
            [
                7.889262585541864e-06,
                2.9023126766832993e-06,
                0.00026119036970181556,
                6.144172403715875e-06,
                6.144176798870286e-06,
                0.00037998447304209637,
                4.222834450950777e-06,
                6.144176066264237e-06,
                6.144173135628569e-06,
                8.315278293951957e-07
            ],
            [
                5.144221967142812e-05,
                1.012998977198894e-05,
                3.7266392838544054e-06,
                7.889263525405172e-06,
                1.5534971989258068e-06,
                2.9023109471188266e-06,
                1.4738980210687712e-05,
                NaN,
                2.430024362393472e-05,
                1.1478770858372173e-05
            ],
            [
                0.9914225163286626,
                0.9995694429663222,
                0.9999910603015711,
                0.9999646437366535,
                0.9999546021260184,
                0.999941708741448,
                0.9978172837610421,
                0.9997388096920226,
                0.9999485577987319,
                0.9999038976195554
            ],
            [
                1.670142183934597e-05,
                4.785096205930373e-06,
                1.6701423833011596e-05,
                1.892514146884943e-05,
                2.4300246523066122e-05,
                5.14422075023447e-05,
                1.473898021366358e-05,
                2.430023202246208e-05,
                4.006368261266023e-05,
                3.535624227425594e-05
            ],
            [
                0.99987660541069,
                0.9999785550490391,
                0.9999339478632202,
                0.9995694429165961,
                0.9999921107336551,
                0.999994577778445,
                0.9999869928761923,
                0.9999921107355355,
                0.9999599362935764,
                2.144494840687132e-05
            ],
            [
                1.1478772227338172e-05,
                1.3007128462785148e-05,
                6.144172402285332e-06,
                1.3007134665674251e-05,
                1.4738987238464762e-05,
                6.962254588281262e-06,
                1.9947306726049992e-06,
                8.481106056148462e-05,
                1.3007126911974612e-05,
                3.7266392839425286e-06
            ],
            [
                0.9999417087205654,
                0.999981074844998,
                0.9998204720339182,
                0.9998415637650447,
                0.9999785550439543,
                0.9998766054698289,
                0.9999339478555428,
                0.9999646437619537,
                0.9999687980886309,
                0.9999485578047951
            ],
            [
                5.422220908116881e-06,
                1.0129993394314164e-05,
                3.2887490653872164e-06,
                1.473897670007122e-05,
                2.561281905390075e-06,
                1.1478772227964558e-05,
                8.939693106873817e-06,
                1.473898899846585e-05,
                6.962258739169842e-06,
                2.561282515853595e-06
            ],
            [
                4.785096205778054e-06,
                4.222834954607099e-06,
                2.561283126679493e-06,
                1.8925152747388e-05,
                2.902311984989368e-06,
                2.5612828212909852e-06,
                1.1478770861650256e-05,
                1.4738978456049602e-05,
                6.144172404380855e-06,
                2.4300249419722622e-05
            ],
            [
                4.7850944945245504e-06,
                7.889266347004826e-06,
                3.535625490931388e-05,
                1.1478772229551402e-05,
                1.6701421842140854e-05,
                1.3007130014376633e-05,
                6.962253759043525e-06,
                6.144177528235347e-06,
                2.1444950963097686e-05,
                3.7266392836374875e-06
            ],
            [
                6.144176066521288e-06,
                1.147877086073156e-05,
                NaN,
                1.01299933920846e-05,
                8.93969630362837e-06,
                0.9996200154249663,
                1.473897845240349e-05,
                0.9999957771680672,
                6.96225375863827e-06,
                1.1478765386038447e-05
            ],
            [
                1.0129994600398803e-05,
                3.726640171686931e-06,
                1.89251482372248e-05,
                2.144495607492721e-05,
                1.1478768125201194e-05,
                3.7266379513162962e-06,
                3.5356259128846735e-05,
                1.4738980214280206e-05,
                1.01299946023704e-05,
                8.939700566289352e-06
            ],
            [
                6.9622570786798724e-06,
                4.222833443891798e-06,
                1.1478766753751021e-05,
                2.144495351862222e-05,
                1.3007128463069061e-05,
                3.2887482809455384e-06,
                1.1478769493916314e-05,
                6.962257079705671e-06,
                7.889263526093993e-06,
                7.889261643382609e-06
            ],
            [
                7.889260704050487e-06,
                3.726639283901856e-06,
                5.422221552579112e-06,
                5.144222572191214e-05,
                7.889262585728421e-06,
                2.9023112931213857e-06,
                6.9622579092224155e-06,
                1.670142780910326e-05,
                6.962256249429175e-06,
                1.892515500450102e-05
            ],
            [
                6.1441746017453204e-06,
                8.93969310647542e-06,
                6.144177531599359e-06,
                6.962257079629686e-06,
                5.422217030707961e-06,
                5.422220908703723e-06,
                1.6701421834728333e-05,
                7.88925976397226e-06,
                2.260324297702111e-06,
                7.889265406294507e-06
            ]
        ]
    },
    {
        "q_id": "10406_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999995549147889,
                0.9999995549150542,
                0.999999814460854,
                0.999999266179107,
                0.9999997617630617,
                0.9999990577554061,
                0.9999996533674614,
                0.9999996940978095,
                0.999999730042319,
                0.9999996940977731
            ],
            [
                0.9999995549149481,
                0.9999996072137998,
                0.9999996533674615,
                0.999999554914789,
                0.9999993524051246,
                0.999999554914895,
                0.9999990577554061,
                0.9999980052695652,
                0.9999970976876689,
                0.999999653367379
            ],
            [
                0.9999996940976272,
                0.999999554914895,
                0.9999994284996893,
                0.9999995549150541,
                0.9999998144608319,
                0.9999997897566589,
                0.9999995549150011,
                0.9999990577550691,
                0.9999997897567341,
                0.9999996072138934
            ],
            [
                0.9999996940977002,
                0.9999997617629764,
                0.9999997617630332,
                0.9999997300421581,
                0.9999996072137061,
                0.9999996533672136,
                0.9999996072138934,
                0.9999996940977002,
                0.9999996533673788,
                0.9999997300422868
            ],
            [
                0.9933071486268324,
                0.99937366597597,
                0.998967769167079,
                0.9990889487596111,
                0.9940889303994865,
                0.9980732657770234,
                0.9994472213873559,
                0.9997388097531315,
                0.9978172836667226,
                0.9924227588196816
            ],
            [
                0.999999554914842,
                0.9999997897565587,
                0.9999999006880785,
                0.9999993524051246,
                0.9999994284994849,
                0.9999996533672135,
                0.9999998362623332,
                0.9999995549147889,
                0.9999990577555185,
                0.9999994956525918
            ],
            [
                0.9999998362622747,
                0.9999996072137061,
                0.9999996940977366,
                0.999999855502048,
                0.9999998874648647,
                0.9999996940977731,
                0.9999997617631469,
                0.9999998555020307,
                0.9999998724810026,
                0.9999996072137061
            ],
            [
                0.9999996533672136,
                0.9999995549149481,
                0.9999994956525317,
                0.9999997617631184,
                0.9999997617630332,
                0.999999554914895,
                0.9999998144609203,
                0.9999998362622747,
                0.9999996072136592,
                0.9999996533672136
            ],
            [
                0.9999995549149481,
                0.9999997897566089,
                0.9999998362623528,
                0.9999996940977731,
                0.9999995549147358,
                0.9999997300422546,
                0.9999997300422868,
                0.9999994284997573,
                0.9999996533672135,
                0.9999996072137061
            ],
            [
                0.9999997617630049,
                0.9999998144609424,
                0.9999996533675028,
                0.9999998144608981,
                0.9999997897565838,
                0.9999997617630333,
                0.999999855502048,
                0.9999997300420937,
                0.9999997617630049,
                0.9999997617631184
            ],
            [
                0.9999998144609644,
                0.9999996940977001,
                0.9999996533672136,
                0.9999996533673375,
                0.9999997617631469,
                0.9999998362622357,
                0.9999996940976272,
                0.999999814460876,
                0.9999996072137998,
                0.9999998555019274
            ],
            [
                0.9999994284994849,
                0.9999998144608319,
                0.9999997300422868,
                0.9999996940977366,
                0.9999994284992805,
                0.9999996533672135,
                0.999999814460854,
                0.9999996533673788,
                0.9999996940978825,
                0.9999996072136592
            ],
            [
                0.9999991684722698,
                0.9999994956527721,
                0.9999997617630617,
                0.9999997897566338,
                0.9999996533673375,
                0.9999996533672962,
                0.9999996533672136,
                0.9999997300422868,
                0.9999994956525918,
                0.9999994956527121
            ],
            [
                0.9999998555019963,
                0.999999855502048,
                0.9999998144609203,
                0.9999997300422868,
                0.9999997617629764,
                0.9999996940976636,
                0.9999996072138465,
                0.9999997617631469,
                0.9999998362622357,
                0.9999997300420937
            ],
            [
                0.9999996940978825,
                0.9999998555020307,
                0.9999996940977001,
                0.9999997617630332,
                0.9999997897566589,
                0.9999997617631752,
                0.9999997617631469,
                0.999999789756684,
                0.9999994956525918,
                0.9999998362623332
            ],
            [
                0.9999997897565587,
                0.999999554914895,
                0.9999997300422868,
                0.9999996940977731,
                0.9999995549147359,
                0.9999994956527121,
                0.9999997617630616,
                0.9999991684715759,
                0.9999990577551815,
                0.9999996940978461
            ],
            [
                0.9999997300421581,
                0.9999993524049702,
                0.9999996072136592,
                0.9999994284996891,
                0.9999996072136592,
                0.9999994956523514,
                0.9999994956527121,
                0.9999991684721706,
                0.9999994956527722,
                0.9999996533672549
            ],
            [
                0.9999989322966208,
                0.9999994956527121,
                0.9999996072137061,
                0.999999352404893,
                0.9999994284994849,
                0.9999995549149481,
                0.9999996940977366,
                0.9999987901337396,
                0.9999994284992805,
                0.9999994284997573
            ],
            [
                0.9999998874649184,
                0.9999998874649051,
                0.9999998724809875,
                0.9999998724810027,
                0.9999999006881022,
                0.9999997617630332,
                0.9999999006879838,
                0.9999999006881022,
                0.999999887464744,
                0.9999998724809723
            ],
            [
                0.9999998362622747,
                0.9999997617631752,
                0.9999998555020135,
                0.9999998362622746,
                0.9999996533672549,
                0.9999998555020135,
                0.9999997897566338,
                0.9999997617631469,
                0.99999976176309,
                0.9999996072139402
            ],
            [
                0.999999730042126,
                0.9999997617629764,
                0.99999976176309,
                0.99999862904312,
                0.9999957771670588,
                0.9999996533673375,
                0.9999997617630048,
                0.9999994284993485,
                0.9999997300422868,
                0.9999984465022455
            ],
            [
                0.9999991684718733,
                0.999999653367379,
                0.9999996533675028,
                0.9999993524052019,
                0.9999991684721706,
                0.9999986290427931,
                0.9999996072137998,
                0.9999991684715758,
                0.9999992661788445,
                0.9999995549150011
            ],
            [
                0.9999997897565587,
                0.9999997897567341,
                0.9999998724809115,
                0.9999997300422225,
                0.9999992661786696,
                0.9999998874648915,
                0.9999997617630616,
                0.9999998144608983,
                0.9999996533672962,
                0.9999998144608983
            ],
            [
                0.999999694097846,
                0.9999996533674614,
                0.9999998362623528,
                0.9999997897566338,
                0.9999996072136592,
                0.999999855501979,
                0.9999998555019618,
                0.9999997300421581,
                0.9999995549150011,
                0.9999998144608538
            ],
            [
                0.9999996533672962,
                0.9999998362622357,
                0.9999998362622747,
                0.9999998144609644,
                0.9999997300421903,
                0.9999994284997573,
                0.9999994284996891,
                0.9999997617631183,
                0.9999998144609644,
                0.9999996072136125
            ],
            [
                0.9999998144608098,
                0.9999996940977731,
                0.9999997617630332,
                0.9999997897566089,
                0.9999997617631752,
                0.9999997300420937,
                0.999999855502048,
                0.9999997300420937,
                0.999999554914895,
                0.9999996940977731
            ],
            [
                0.9999997300420937,
                0.9999996072137998,
                0.9999997300422546,
                0.9999996533672962,
                0.9999993524049703,
                0.9999996072137998,
                0.9999997300422225,
                0.9999996940978825,
                0.9999994956523514,
                0.9999996072137061
            ],
            [
                0.9999997897565587,
                0.9999997617630616,
                0.9999998144608538,
                0.9999998724810027,
                0.9999997617631184,
                0.9999998362622357,
                0.9999997300422869,
                0.9999998555019274,
                0.9999999123575359,
                0.9999999123575045
            ],
            [
                0.9999997300420939,
                0.9999997300420937,
                0.9999996072136125,
                0.999999730042126,
                0.9999996940976636,
                0.9999995549148419,
                0.9999995549150011,
                0.9999996072136125,
                0.999999694097773,
                0.999999814460854
            ],
            [
                0.9999997897566589,
                0.9999999006880075,
                0.9999999226558237,
                0.9999999006880668,
                0.9999999123575672,
                0.9999999006880312,
                0.9999998874648514,
                0.9999998555019274,
                0.9999997897565838,
                0.9999999006880785
            ],
            [
                0.9999993524053562,
                0.9999995549150542,
                0.9999997897566338,
                0.9999994956524114,
                0.9999998144608319,
                0.9999991684718732,
                0.9999996533674201,
                0.9999998144609644,
                0.9999997617630332,
                0.9999994284992805
            ],
            [
                0.999999694097773,
                0.999999730042126,
                0.9999995549150541,
                0.9999997617631752,
                0.9999998362622943,
                0.9999996072137061,
                0.9999994956526519,
                0.9999997617631469,
                0.9999996940977001,
                0.9999996940976272
            ],
            [
                0.9999991684715759,
                0.999999057755069,
                0.9999987901343165,
                0.9999994956525918,
                0.9999994284997573,
                0.9999993524052018,
                0.9999992661789321,
                0.9999994956527722,
                0.999997438716568,
                0.9999984465018751
            ],
            [
                0.9999997617631752,
                0.9999996533674614,
                0.9999997897566338,
                0.9999996533674201,
                0.9999997300422225,
                0.9999994956525317,
                0.9999998555020135,
                0.9999997300421903,
                0.9999997300421581,
                0.9999996940977366
            ],
            [
                0.9999992661792819,
                0.9999996533672136,
                0.9999996533672549,
                0.9999996940976272,
                0.9999992661790196,
                0.9999989322973845,
                0.9999993524053563,
                0.999999266178932,
                0.999999266178932,
                0.999998239656367
            ],
            [
                0.9999997617629764,
                0.9999994284992805,
                0.9999997300420937,
                0.9999996072138465,
                0.9999994284994849,
                0.999999730042319,
                0.9999997617631752,
                0.9999996072137998,
                0.999999352405279,
                0.9999997897566338
            ],
            [
                0.999999789756684,
                0.9999996072136125,
                0.9999996940977731,
                0.9999998362622552,
                0.9999996940977731,
                0.9999996940976636,
                0.9999996533673788,
                0.9999996940978095,
                0.9999997617629764,
                0.999999789756684
            ],
            [
                0.9999996072137998,
                0.9999994956527121,
                0.9999996072136592,
                0.9999994956526519,
                0.9999993524053562,
                0.9999996940977366,
                0.9999996940978461,
                0.9999996072136125,
                0.9999996072136592,
                0.9999994956526519
            ],
            [
                0.9999998874648514,
                0.9999996940978825,
                0.9999998362622552,
                0.9999998144608098,
                0.9999995549148419,
                0.9999999006880312,
                0.9999998362623722,
                0.9999998144608981,
                0.9999998144608981,
                0.9999998724809115
            ],
            [
                0.9999996072137061,
                0.9999996940978825,
                0.9999997300422225,
                0.9999994956524115,
                0.9999994956525918,
                0.9999996533672549,
                0.99999893229713,
                0.9999996533672962,
                0.9999996533674201,
                0.9999996072137529
            ],
            [
                0.9999997617631184,
                0.999999266178757,
                0.9999997300422225,
                0.9999995549150011,
                0.9999997897565838,
                0.9999996072136592,
                0.9999994284996891,
                0.9999996072136592,
                0.9999994284995529,
                0.9999997897566338
            ],
            [
                0.9999998724810027,
                0.999999730042126,
                0.9999998362622552,
                0.99999976176309,
                0.9999997300421581,
                0.9999998362623332,
                0.9999998724808963,
                0.9999998144609202,
                0.9999996940976636,
                0.9999997617630048
            ],
            [
                0.9999996072136592,
                0.9999997300422546,
                0.9999994284994849,
                0.9999996072138934,
                0.9999994284993485,
                0.9999995549150011,
                0.9999995549150542,
                0.99999976176309,
                0.9999998555020135,
                0.9999996940978825
            ],
            [
                0.9999885212264016,
                0.9999910603015651,
                0.99999862904312,
                0.999997438716568,
                0.9999938558224686,
                0.9999869928653343,
                0.9999687980997952,
                0.9999687980812073,
                0.9999938558253983,
                0.9999930377412608
            ],
            [
                0.9999974387177893,
                0.9999987901337396,
                0.999997097689053,
                0.9999990577555185,
                0.9999994284996893,
                0.9999989322972572,
                0.9999989322968755,
                0.9999974387187053,
                0.9999990577549569,
                0.9999996940978095
            ],
            [
                0.9999995549151073,
                0.9999994284994167,
                0.999999495652652,
                0.9999996533672549,
                0.9999991684721706,
                0.9999996533674202,
                0.9999996940978825,
                0.9999996533673788,
                0.9999994284994167,
                0.9999996940977366
            ],
            [
                0.999999352405279,
                0.9999996072136125,
                0.9999996533672549,
                0.999999653367379,
                0.9999993524051246,
                0.9999994956526519,
                0.9999982396572065,
                0.9999996533673375,
                0.9999991684717741,
                0.999999352405279
            ],
            [
                0.9999998362622552,
                0.9999998724809723,
                0.9999995549149481,
                0.9999997617630333,
                0.9999998724809875,
                0.999999694097846,
                0.999999730042319,
                0.999999730042319,
                0.9999996940976636,
                0.9999997300420937
            ],
            [
                0.9999998144608983,
                0.9999997300421581,
                0.999999855501979,
                0.9999995549147358,
                0.9999997617630617,
                0.9999996072136592,
                0.9999996533672135,
                0.9999952149032235,
                0.9999996533672135,
                0.999999266179107
            ],
            [
                0.9999994284996893,
                0.9999994284996211,
                0.9999992661788445,
                0.9999995549149481,
                0.9999994284992805,
                0.9999994284996211,
                0.9999996533673375,
                0.9999994956523512,
                0.9999995549149481,
                0.9999996072138465
            ],
            [
                0.9999982396567867,
                0.9999991684719725,
                0.9999989322966208,
                0.9999993524053563,
                0.9999980052702786,
                0.999997438717484,
                0.9999987901338838,
                0.9999989322966208,
                0.9999987901343165,
                0.9999989322966208
            ],
            [
                0.9999997617629764,
                0.9999998144608098,
                0.9999998362622943,
                0.9999998144608538,
                0.999999789756684,
                0.9999998874648915,
                0.9999998144609423,
                0.9999999226558514,
                0.9999998362622747,
                0.9999997300422868
            ],
            [
                0.9999994284994849,
                0.9999989322968754,
                0.999999168471675,
                0.999999266178757,
                0.999997097686977,
                0.9999987901347491,
                0.9999996072138465,
                0.9999991684717742,
                0.9999991684715759,
                0.9999990577554061
            ],
            [
                0.9999998555020306,
                0.9999995549147889,
                0.9999998362622552,
                0.9999995549148419,
                0.9999997300420937,
                0.9999995549151073,
                0.9999997300422547,
                0.9999998362623722,
                0.9999996940978825,
                0.999999789756684
            ],
            [
                0.9999993524049703,
                0.9999997897565838,
                0.9999999006880904,
                0.9999997897566589,
                0.9999996072137998,
                0.9999996533673375,
                0.999999814460854,
                0.9999996940977731,
                0.999999730042126,
                0.9999996533672135
            ],
            [
                0.9999996533672549,
                0.9999996533674615,
                0.9999996940977731,
                0.9999996072138934,
                0.9999998144608098,
                0.9999996072136125,
                0.9999992661790196,
                0.9999996072137998,
                0.9999984465018751,
                0.9999992661791944
            ],
            [
                0.9999995549147358,
                0.9999998362623528,
                0.9999997897565587,
                0.9999993524053563,
                0.9999996533672549,
                0.9999997300420939,
                0.9999996940977731,
                0.9999998144608319,
                0.9999997897565587,
                0.9999997897567341
            ],
            [
                0.999999814460876,
                0.9999996533674615,
                0.9999996533674201,
                0.9999998555019963,
                0.9999996940978095,
                0.9999997300421581,
                0.9999996940978461,
                0.999999814460854,
                0.9999996940978825,
                0.9999996940978825
            ],
            [
                0.999999730042126,
                0.999999554914842,
                0.9999996533672962,
                0.9999996533674615,
                0.9999998362623332,
                0.9999995549150542,
                0.9999996940977366,
                0.999999855501979,
                0.9999997300422225,
                0.999999554914895
            ],
            [
                0.9999996940976272,
                0.9999996072137998,
                0.999999730042126,
                0.9999996940977001,
                0.9999996533675028,
                0.9999996940976636,
                0.9999997300422546,
                0.9999995549149481,
                0.9999997300422547,
                0.9999997300420937
            ],
            [
                0.9999998555019963,
                0.9999987901344607,
                0.9999997617631184,
                0.9999995549149481,
                0.9999996533672962,
                0.9999999123575464,
                0.9999998555019618,
                0.9999995549151073,
                0.9999996072139402,
                0.9999998555020307
            ],
            [
                0.9999996072138934,
                0.9999996533674201,
                0.9999994956524716,
                0.9999995549150011,
                0.9999998362623332,
                0.9999997897566089,
                0.999999814460876,
                0.9999996533672549,
                0.9999996072137529,
                0.9999998144608317
            ],
            [
                0.9999998724808963,
                0.9999995549150011,
                0.9999999123575986,
                0.9999995549150542,
                0.9999996533674202,
                0.9999995549150542,
                0.9999997300422547,
                0.9999996940977366,
                0.9999997617630333,
                0.9999997617631184
            ],
            [
                0.9999993524054334,
                0.9999996072137998,
                0.9999996072137529,
                0.9999997617631184,
                0.9999996072137998,
                0.9999994284994849,
                0.9999996940976636,
                0.9999994956523514,
                0.99999976176309,
                0.9999997300422868
            ],
            [
                0.9999996940978095,
                0.9999996940977366,
                0.9999994284996891,
                0.9999996533673788,
                0.9999991684719723,
                0.9999996533674615,
                0.9999996072136592,
                0.9999994956527722,
                0.999999653367379,
                0.999999495652652
            ],
            [
                0.9999998724809571,
                0.9999996533673375,
                0.9999995549150011,
                0.9999996072137061,
                0.9999998362622747,
                0.9999996533673375,
                0.9999993524050474,
                0.9999996072137529,
                0.9999998144608098,
                0.999999814460876
            ],
            [
                0.9999992661791071,
                0.9999996533672135,
                0.9999997617630049,
                0.9999997617630049,
                0.9999996072138465,
                0.9999997617631752,
                0.9999996072136592,
                0.9999997300422225,
                0.9999997897565587,
                0.999999789756684
            ],
            [
                0.9999996072138465,
                0.9999996940978095,
                0.9999997617631469,
                0.9999997617630333,
                0.9999996072136592,
                0.9999994956527121,
                0.9999996072137061,
                0.999999554914895,
                0.9999997300422225,
                0.9999996533672962
            ],
            [
                0.999999730042126,
                0.9999996940978825,
                0.9999998144608098,
                0.9999997300421581,
                0.999999694097846,
                0.9999996940976272,
                0.9999994956526519,
                0.9999996072137529,
                0.9999998362622552,
                0.9999995549148419
            ],
            [
                0.9999996940977731,
                0.9999996940976636,
                0.9999996940976636,
                0.9999998144609202,
                0.9999996072139402,
                0.9999996533673375,
                0.9999998555019618,
                0.999999814460876,
                0.9999996533672549,
                0.9999998724809875
            ],
            [
                0.9999997617630617,
                0.999999730042319,
                0.9999995549151073,
                0.9999997897566338,
                0.9999996533673375,
                0.9999994284996893,
                0.99999976176309,
                0.999999730042126,
                0.9999997617630332,
                0.9999997300421903
            ],
            [
                0.999999814460876,
                0.9999996533672962,
                0.9999996940976272,
                0.9999996533674201,
                0.9999997300420937,
                0.9999999006879957,
                0.9999996072139402,
                0.9999996940977366,
                0.9999996072138934,
                0.9999994956523514
            ],
            [
                0.9999998874647842,
                0.9999999226558515,
                0.9999999006881259,
                0.9999998144608097,
                0.9999999123574419,
                0.9999999006881022,
                0.9999999123574732,
                0.9999998362622357,
                0.9999998144609645,
                0.9999998724809267
            ],
            [
                0.9999994284994167,
                0.9999994956525317,
                0.9999996533674201,
                0.999999554914895,
                0.9999992661792819,
                0.9999996940977002,
                0.9999994956523514,
                0.9999993524053563,
                0.999999352405279,
                0.9999996940978095
            ],
            [
                0.999999694097846,
                0.9999991684719723,
                0.9999996940976636,
                0.9999997617630616,
                0.9999996940976636,
                0.9999995549150011,
                0.9999994956527722,
                0.9999994956524114,
                0.9999997897565838,
                0.9999996940977731
            ],
            [
                0.9999970976883609,
                0.9999977396759716,
                0.9999967112497585,
                0.9999967112521108,
                0.9999962733620487,
                0.9999952149072165,
                0.9999974387180947,
                0.9999982396563669,
                0.9999962733616045,
                0.9999984465018751
            ],
            [
                0.9999995549151073,
                0.9999998362623137,
                0.9999996533672136,
                0.9999996533674615,
                0.9999997897567091,
                0.9999996533672135,
                0.9999996940978095,
                0.9999998144608983,
                0.9999997897565838,
                0.9999997897567341
            ],
            [
                0.9999998724809571,
                0.999999789756634,
                0.9999998874647843,
                0.9999999226558238,
                0.9999998555019446,
                0.9999998724809571,
                0.999999912357515,
                0.999999814460876,
                0.9999998144608538,
                0.9999998724808964
            ],
            [
                0.9999996533672549,
                0.9999996533674615,
                0.9999997617630049,
                0.9999991684722697,
                0.9999995549149481,
                0.9999998144608097,
                0.9999994956527722,
                0.9999998144609423,
                0.9999996533675028,
                0.9999996072138934
            ],
            [
                0.9999997897567091,
                0.9999994284995529,
                0.9999996072137529,
                0.9999991684718732,
                0.9999994956525318,
                0.999999554914895,
                0.9999994956524716,
                0.9999996072137998,
                0.9999993524052019,
                0.9999997300421903
            ],
            [
                0.9999997617630332,
                0.9999996533674615,
                0.9999996533672549,
                0.9999996533674614,
                0.9999994956524715,
                0.9999996940977001,
                0.9999980052693274,
                0.9999994956523514,
                0.9999994284996211,
                0.9999998144608983
            ],
            [
                0.9999996072139402,
                0.9999996072137998,
                0.9999994956525918,
                0.9999994956524115,
                0.9999993524051246,
                0.9999992661788446,
                0.9999994284996891,
                0.9999995549151073,
                0.999999554914895,
                0.9999996940977731
            ],
            [
                0.9999993524049702,
                0.9999991684721706,
                0.9999991684718732,
                0.9999996940977002,
                0.9999996072136125,
                0.9999995549147359,
                0.9999996072139402,
                0.9999986290424664,
                0.9999991684716749,
                0.9999995549151073
            ],
            [
                0.9999996533672549,
                0.9999994956523514,
                0.9999997300420937,
                0.9999996940978095,
                0.9999996533672136,
                0.999999730042126,
                0.9999995549148419,
                0.9999997617630332,
                0.999999730042319,
                0.99999976176309
            ],
            [
                0.9999996072136592,
                0.9999994956525317,
                0.9999994956527121,
                0.9999994284995529,
                0.9999996072139402,
                0.9999996533673375,
                0.999999554914895,
                0.9999991684715759,
                0.9999996072137998,
                0.9999994284993485
            ],
            [
                0.9999996072138465,
                0.9999996533674614,
                0.9999996072137061,
                0.9999996072139402,
                0.999999554914789,
                0.9999993524054335,
                0.9999993524054335,
                0.9999997300420937,
                0.9999995549147889,
                0.9999996940977731
            ],
            [
                0.9999996940977002,
                0.9999995549149481,
                0.9999995549151073,
                0.9999995549148419,
                0.9999999006881023,
                0.9999996533672962,
                0.9999996072137998,
                0.9999996533674201,
                0.9999996533672962,
                0.9999996072137061
            ],
            [
                0.9999997617631468,
                0.9999996533672549,
                0.999999855501979,
                0.9999997617629764,
                0.9999996940978825,
                0.9999997300421903,
                0.9999997617631752,
                0.9999997300421581,
                0.999999789756684,
                0.999999789756684
            ],
            [
                0.9999996072137061,
                0.9999995549151073,
                0.999999730042126,
                0.9999998144608983,
                0.9999996072137529,
                0.9999996072136592,
                0.9999996533672549,
                0.999999730042126,
                0.9999995549151072,
                0.9999997897567341
            ],
            [
                0.9999996533672962,
                0.9999990577554062,
                0.9999993524053562,
                0.9999980052707542,
                0.9999993524051246,
                0.9999990577549568,
                0.9999996072136125,
                0.9999992661787571,
                0.9999982396569966,
                0.9999997300421903
            ],
            [
                0.9999994284994849,
                0.9999996940978461,
                0.999999694097846,
                0.9999998144609644,
                0.9999996072136592,
                0.9999996072138934,
                0.9999996072137529,
                0.9999997617630333,
                0.9999996072138934,
                0.9999997300422868
            ],
            [
                0.9999998724809419,
                0.9999996940978825,
                0.999999855502048,
                0.9999996940976272,
                0.999999855502048,
                0.9999998874648514,
                0.9999998555020135,
                0.999999814460876,
                0.9999998144608983,
                0.9999998874648915
            ],
            [
                0.9999998555019618,
                0.9999998555019962,
                0.9999996940976272,
                0.9999997897567091,
                0.9999998362622942,
                0.9999998555020307,
                0.9999999317439221,
                0.9999998724809267,
                0.9999996940977731,
                0.9999997897567341
            ],
            [
                0.9999994956526519,
                0.999999789756684,
                0.9999996533673788,
                0.9999997897565838,
                0.9999997897566338,
                0.99999976176309,
                0.9999997300421903,
                0.9999996940977366,
                0.9999996940976636,
                0.9999997897566589
            ],
            [
                0.9999990577552937,
                0.9999987901338838,
                0.9999992661789321,
                0.9999991684718732,
                0.9999992661787571,
                0.9999986290432835,
                0.9999977396754328,
                0.9999991684719723,
                0.9999982396569966,
                0.9999989322973846
            ],
            [
                0.9999992661788445,
                0.9999997300420937,
                0.9999994956523514,
                0.9999996533672962,
                0.9999994956526519,
                0.9999996072136592,
                0.9999996940977002,
                0.9999994284997573,
                0.9999997617630049,
                0.9999995549150011
            ],
            [
                0.9999996533674201,
                0.9999998144608319,
                0.9999999006880904,
                0.999999814460854,
                0.9999996072138934,
                0.9999997617631752,
                0.9999997897566089,
                0.9999997897565587,
                0.9999997897566589,
                0.9999997617631469
            ],
            [
                0.9999994956525918,
                0.9999994284996211,
                0.9999994284993485,
                0.9999997300422868,
                0.999999554914842,
                0.9999996072136125,
                0.9999993524052019,
                0.9999994284992805,
                0.9999992661788446,
                0.9999996533672135
            ],
            [
                0.9999996072137529,
                0.9999998144608098,
                0.9999997617631752,
                0.999999653367379,
                0.9999998362622552,
                0.9999997897567342,
                0.999999653367379,
                0.999999887464811,
                0.9999997300422547,
                0.9999997897567341
            ],
            [
                0.9999996533673788,
                0.9999992661790195,
                0.9999994284993485,
                0.9999997300422868,
                0.9999995549149481,
                0.9999997617631752,
                0.9999997617630617,
                0.999999653367379,
                0.9999996072138934,
                0.9999992661790195
            ],
            [
                0.9999992661786696,
                0.9999996940976636,
                0.9999986290421394,
                0.9999994956524114,
                0.9999996072137061,
                0.9999997897566589,
                0.9999996533675028,
                0.9999992661786696,
                0.9999980052695652,
                0.9999989322967481
            ],
            [
                0.9999986290429566,
                0.9999996533675028,
                0.9999967112501504,
                0.9999994956525918,
                0.9999998724809875,
                0.999972464302337,
                0.9999999006880668,
                0.9999997300421903,
                0.9999992661792819,
                0.9999999006881259
            ],
            [
                0.9999994284997573,
                0.9999989322975118,
                0.999999057755743,
                0.9999991684717742,
                0.9999989322975118,
                0.9999994956526519,
                0.9999996940978825,
                0.9999990577554061,
                0.9999991684721706,
                0.9999994956525918
            ],
            [
                0.999999694097846,
                0.999999266179107,
                0.999999495652712,
                0.9999996940977001,
                0.9999996940976636,
                0.9999994956524114,
                0.9999992661788446,
                0.999999266179107,
                0.9999982396572065,
                0.9999986290427932
            ],
            [
                0.9999996072139402,
                0.9999994956523514,
                0.9999997617631184,
                0.9999987901344608,
                0.9999997617629764,
                0.9999994956525317,
                0.9999994956526519,
                0.9999994956524716,
                0.999998790134028,
                0.9999993524050474
            ],
            [
                0.9999898700041907,
                0.9999974387177893,
                0.9999987901343165,
                0.9999980052695652,
                0.9999974387168733,
                0.9999984465024306,
                0.9999987901337396,
                0.9999967112505427,
                0.9999977396759716,
                0.9999990577552939
            ],
            [
                0.9999997300422868,
                0.9999998362622746,
                0.9999997300420937,
                0.9999990577556308,
                0.9999998555020135,
                0.9999996533672962,
                0.999999653367379,
                0.9999997300421903,
                0.9999994956524114,
                0.9999998144608098
            ],
            [
                0.9999994284994167,
                0.9999994284996211,
                0.9999994284992805,
                0.9999994956524716,
                0.9999987901337396,
                0.9999996533672962,
                0.9999992661791945,
                0.9999995549149481,
                0.9999996072138465,
                0.9999994956525317
            ],
            [
                0.9999994956527121,
                0.9999996940977366,
                0.9999996533674202,
                0.9999997617629764,
                0.999999495652712,
                0.9999996940977002,
                0.9999995549147358,
                0.9999997897565587,
                0.9999994956527721,
                0.9999996072139402
            ],
            [
                0.9999997617630616,
                0.9999996072138934,
                0.9999995549150542,
                0.9999996940976636,
                0.9999997617630616,
                0.9999997300421903,
                0.999999694097773,
                0.999999694097846,
                0.9999996072137529,
                0.9999996940976636
            ],
            [
                0.9999996533672135,
                0.9999997617631752,
                0.9999997897565838,
                0.9999994956523514,
                0.9999990577557432,
                0.9999995549150542,
                0.9999989322975118,
                0.9999994956524716,
                0.9999994284993485,
                0.9999996940977731
            ],
            [
                0.9999996072137998,
                0.9999869928715358,
                0.9999997617630616,
                0.9999995549150011,
                0.9999997897566589,
                0.9999996533674614,
                0.999999352405279,
                0.9999997300422869,
                0.9999996940976272,
                0.9999992661790195
            ],
            [
                0.9999997617631752,
                0.999999855502048,
                0.9999994284994848,
                0.999999789756684,
                0.9999996072137998,
                0.9999996533673788,
                0.9999997617629764,
                0.9999994956525918,
                0.9999997897566089,
                0.9999996940978095
            ],
            [
                0.9999997897567091,
                0.999999789756684,
                0.999999789756684,
                0.9999997897567342,
                0.9999998144608981,
                0.9999997897567091,
                0.9999997617629763,
                0.9999996940978095,
                0.999999789756684,
                0.9999998362622746
            ],
            [
                0.9999994284996893,
                0.9999996533673375,
                0.9999996940978461,
                0.9999996072138465,
                0.9999998144609424,
                0.9999994284992805,
                0.9999994284996211,
                0.9999994956527121,
                0.9999996940976272,
                0.9999990577551814
            ],
            [
                0.9999986290421394,
                0.9999974387177893,
                0.999998790134028,
                0.9999970976880149,
                0.9999977396765105,
                0.9999977396759716,
                0.9999977396754327,
                0.999996273360716,
                0.9999967112505427,
                0.9999977396757023
            ],
            [
                0.9999993524051246,
                0.9999997300420937,
                0.9999996940977002,
                0.9999996072138465,
                0.9999996940976272,
                0.9999993524054334,
                0.9999994284995529,
                0.9999997617630899,
                0.9999990577556307,
                0.9999997300422225
            ],
            [
                0.9999994284996893,
                0.9999994284994848,
                0.9999997617630899,
                0.9999997300420937,
                0.9999997300421903,
                0.9999997300422868,
                0.999999554914789,
                0.99999976176309,
                0.9999997300422869,
                0.9999989322970027
            ],
            [
                0.9999994284994849,
                0.9999996940977731,
                0.9999996940978095,
                0.9999996072139402,
                0.9999997617631752,
                0.999999554914789,
                0.9999994956524716,
                0.9999996072137061,
                0.9999994956525317,
                0.9999997300422225
            ],
            [
                0.9999994284993485,
                0.9999996533673375,
                0.9999984465020603,
                0.9999996533673375,
                0.9999996533672549,
                0.9999995549147359,
                0.9999994284996211,
                0.9999995549150541,
                0.999999266179107,
                0.9999996072138465
            ],
            [
                0.9999997300422547,
                0.9999995549150011,
                0.9999996072138465,
                0.9999996072136592,
                0.999999730042126,
                0.9999998362623137,
                0.9999998144609424,
                0.9999997300421903,
                0.9999996940978461,
                0.999999352404893
            ],
            [
                0.999999352404893,
                0.9999996072137529,
                0.9999996533672135,
                0.9999997617629764,
                0.9999997300422546,
                0.9999996072139402,
                0.9999997897567091,
                0.9999996533672962,
                0.9999998362623722,
                0.9999996940976636
            ],
            [
                0.9999997897565587,
                0.999999694097846,
                0.9999996940976272,
                0.9999998874648915,
                0.9999996072137998,
                0.9999996940978825,
                0.9999996072137061,
                0.9999998555020135,
                0.9999996072138465,
                0.9999996533672549
            ],
            [
                0.9999997300422225,
                0.9999996533672549,
                0.9999997617631183,
                0.9999996533675028,
                0.9999996940978825,
                0.9999999006881141,
                0.999999814460876,
                0.9999998874648514,
                0.999999730042126,
                0.9999997897566589
            ],
            [
                0.9999997617631752,
                0.999999789756684,
                0.99999976176309,
                0.9999997897565838,
                0.9999995549151073,
                0.9999997300422225,
                0.999999730042319,
                0.9999996940976636,
                0.9999998555019619,
                0.9999996533672549
            ],
            [
                0.9999993524050474,
                0.9999997617631184,
                0.999999653367379,
                0.9999991684717741,
                0.9999997897566338,
                0.9999982396574163,
                0.9999997897566338,
                0.999999168471675,
                0.9999994956525317,
                0.9999995549147359
            ],
            [
                0.9999996533674201,
                0.9999993524049703,
                0.999999428499553,
                0.999999730042319,
                0.9999994284995529,
                0.9999996072137529,
                0.9999991684715758,
                0.9999994284995529,
                0.9999992661792819,
                0.9999996072138465
            ],
            [
                0.9999997617631752,
                0.9999997300422225,
                0.9999998555019446,
                0.999999730042126,
                0.9999996072138934,
                0.9999997617630049,
                0.9999997300421903,
                0.9999996940978825,
                0.9999997300420937,
                0.999999789756684
            ]
        ]
    },
    {
        "q_id": "10365_mmlu_computer science",
        "cot_ids": [
            2,
            3,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            22,
            23,
            24,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            0,
            1,
            4,
            21,
            25
        ],
        "rewards": [
            [
                6.144174599867732e-06,
                2.7535690940285058e-05,
                1.012998977088337e-05,
                1.4738987236641703e-05,
                2.144494324917105e-05,
                0.0001584362527490119,
                2.753570419688461e-05,
                9.610241433885192e-05,
                7.484620025053846e-05,
                6.605212868425745e-05
            ],
            [
                0.9999869928653523,
                0.9999151889491074,
                0.9999910603068987,
                0.9999938558276019,
                0.9999687980961861,
                0.999981074849517,
                0.9999724643025047,
                0.9999546021262354,
                0.9999945777784502,
                0.999989870007817
            ],
            [
                1.0129987351952995e-05,
                7.889261644057078e-06,
                1.147876401460948e-05,
                1.1478772227338172e-05,
                4.222834954461155e-06,
                1.4738988991495334e-05,
                8.939698432202356e-06,
                1.670141785651155e-05,
                7.889259759509296e-06,
                1.3007131554375137e-05
            ],
            [
                0.9999599362936126,
                0.9999646437367234,
                0.9999546021368796,
                0.9998766053981384,
                3.535625487947387e-05,
                0.9997040430146521,
                8.481104071165285e-05,
                5.1442195136397085e-05,
                0.9998911030401445,
                0.9999251537642548
            ],
            [
                0.09534947261117098,
                0.000139822139856903,
                8.481106112915161e-05,
                0.00010889693468274447,
                0.00037998452146212976,
                0.00012339461809748284,
                0.0005527785309946132,
                0.009708478173769243,
                0.001700722057833355,
                0.0006263341367951727
            ],
            [
                0.00407013702881291,
                0.18242552602881168,
                0.012431652888428185,
                0.005911069529370039,
                NaN,
                0.014063625803542699,
                0.017986209008010318,
                0.01798620858031874,
                9.610244900370157e-05,
                0.008577486356178395
            ],
            [
                1.0129993391531815e-05,
                7.889263524960312e-06,
                4.222833947121688e-06,
                1.3007123811229494e-05,
                6.144174601208867e-06,
                7.88926446430712e-06,
                1.0129995808178788e-05,
                1.3007125356479674e-05,
                3.2887478889513447e-06,
                6.962256248871951e-06
            ],
            [
                0.9999921107393026,
                0.9999921107345962,
                0.9999785550490417,
                0.999986992865341,
                0.9999898700114408,
                0.9999852610145259,
                0.9999898700041928,
                0.9999962733602723,
                0.9999687980812089,
                0.9999952149043652
            ],
            [
                1.8925155002710973e-05,
                3.7266383923005904e-06,
                2.1444950908331436e-05,
                1.4738978447095178e-05,
                1.1478768122695653e-05,
                3.535623802655717e-05,
                4.539788476482766e-05,
                3.120190015868497e-05,
                2.7535697636951104e-05,
                8.93969949587162e-06
            ],
            [
                0.9999885212277781,
                0.9999910603058397,
                0.9999921107402402,
                0.999933947879403,
                0.9999885212305122,
                0.9999869928761997,
                0.9999898700066098,
                0.9999957771670607,
                0.9999832985821534,
                0.9999930377437529
            ],
            [
                6.9622570777680525e-06,
                0.9999646437577874,
                0.3775406687981454,
                0.9998911030783766,
                0.9998911030914043,
                0.9993736657658879,
                0.9997040429411663,
                0.999373665988139,
                0.9992903295408386,
                0.9998601778933465
            ],
            [
                0.000911051287542735,
                9.610238021936711e-05,
                0.037326884399142314,
                0.015906391099524245,
                0.060086649332446,
                0.01243165179076934,
                0.015906395298087905,
                NaN,
                0.00033535026324543917,
                0.0031726822909559907
            ],
            [
                0.02595735743326847,
                0.9933071483946517,
                0.008577486807611922,
                0.003172683485322414,
                0.015906393665313018,
                0.03308597767364294,
                0.017986213844215747,
                0.010986941628716686,
                0.002800927307886068,
                0.029312230857352094
            ],
            [
                0.9959298625634674,
                0.9984988175225227,
                0.9947798731626701,
                0.9993736657606049,
                0.9978172834451224,
                0.025957359552513166,
                0.06754668785475053,
                0.9982992777970892,
                0.03732688640708807,
                0.9971990732097646
            ],
            [
                0.999964643753815,
                0.9999251537821059,
                0.999983298572192,
                0.9999852610198027,
                0.9999485577865408,
                0.9999852610233195,
                0.9995694429303993,
                0.9999810748585336,
                0.9999810748517755,
                0.9999945777810337
            ],
            [
                6.144172403067661e-06,
                3.726641057031887e-06,
                5.422220260656402e-06,
                6.1441724029223715e-06,
                6.144174600180663e-06,
                6.144174600985344e-06,
                4.78509278207486e-06,
                3.7266406162947e-06,
                7.889260703462123e-06,
                5.422219614951598e-06
            ],
            [
                0.03308597958047282,
                0.014063629638873512,
                0.010986941244158055,
                0.008577486078982382,
                0.007577241800118039,
                0.005220125577488575,
                0.029312231917309854,
                0.00757724095270852,
                0.000626334084766551,
                0.006692851930401284
            ],
            [
                0.9997388096820138,
                0.05340332885823078,
                2.7535700926183532e-05,
                0.04208773257151255,
                0.017986207395942123,
                0.00029595713210408934,
                0.0015011821143464117,
                0.004070137279862534,
                0.029312232076303523,
                0.0031726822497201664
            ],
            [
                0.9999038975739151,
                0.9988304896135057,
                0.9980732650810138,
                0.9999151889789432,
                0.9998601778932732,
                0.9998204720160782,
                0.9986749774093281,
                0.9997694932358394,
                0.9999599363127746,
                0.9993736658372634
            ],
            [
                0.9999930377420927,
                0.9999945777790923,
                0.9999945777829717,
                0.9999910602994362,
                0.9999869928715617,
                0.9999957771680719,
                0.9999646437324821,
                0.9999910602994398,
                0.9999930377429234,
                0.9999930377420944
            ],
            [
                0.9999485578048419,
                0.9999852610145455,
                0.9999251537729713,
                0.9999785550414387,
                0.9999756997477116,
                0.9999852610162847,
                0.9999910603005011,
                0.9999785550592998,
                0.9999832985841626,
                0.9999151889593908
            ],
            [
                0.9999938558268638,
                0.9999910602994421,
                0.9999810748427502,
                0.9999970976890534,
                0.9999810748517658,
                0.9999945777816778,
                0.9999785550439215,
                0.9999885212332448,
                0.9999945777816778,
                0.9999957771675645
            ],
            [
                0.001032231235546821,
                0.000295957201852687,
                0.007577240560519024,
                0.005220126259398815,
                0.0002611903628089288,
                0.01406362806341763,
                0.02595735658557064,
                0.04742587183119742,
                0.00010889690849277196,
                0.0004305570732081136
            ],
            [
                0.9999151889387425,
                0.9999687980961978,
                0.9997965730047492,
                0.9999646437408893,
                0.9998601779612465,
                0.9999417087417009,
                0.9999485577986941,
                0.9999485577926469,
                0.9999151889691399,
                0.9999151889486873
            ],
            [
                0.0008040860046095709,
                0.0758581784543034,
                0.001700722716414543,
                0.0017007228057539076,
                0.002800926759670487,
                0.00757724037843105,
                0.0474258725043821,
                0.022977367652000317,
                0.46879062662624377,
                0.009708475684573266
            ],
            [
                1.1478768121735194e-05,
                8.939698432690187e-06,
                2.1444953502863275e-05,
                2.7535700938304286e-05,
                1.1478769490700865e-05,
                3.7266406165319545e-06,
                5.422219614576807e-06,
                3.120190760528502e-05,
                2.430025224168007e-05,
                3.288749456838667e-06
            ],
            [
                0.00026119043801512115,
                4.5397874023865346e-05,
                0.2450850021044189,
                8.48110809863925e-05,
                0.0031726831605901912,
                0.012431653345786066,
                0.0024726235287675594,
                0.00591106995075805,
                0.00048785715945332073,
                0.017986212495341998
            ],
            [
                8.93969949587162e-06,
                1.0129990974240505e-05,
                2.1444958586374093e-05,
                4.539786316234683e-05,
                1.6701425802374098e-05,
                4.5397879222095756e-05,
                1.0129988559492579e-05,
                1.892514821712119e-05,
                4.006369689654616e-05,
                2.7535684498857565e-05
            ],
            [
                0.07585818054355695,
                0.05340333526106659,
                0.05340333526106659,
                1.8925157240615665e-05,
                0.02595735752745712,
                0.0005527785891687261,
                0.00023050668490968537,
                0.01243165049873353,
                0.0059110676933226206,
                0.03308598220236407
            ],
            [
                0.000626334130127639,
                0.0005527786608171168,
                0.010986945079624989,
                0.005911068035358237,
                0.002800926791535921,
                0.0009110512377397962,
                0.0008040860765361913,
                0.008577487068968185,
                0.060086651857130885,
                0.00023050671287150817
            ],
            [
                0.9999898700126718,
                0.9999251537997833,
                0.999876605441817,
                0.999915188921652,
                0.9999785550439274,
                0.9998766054551622,
                0.9995121428283135,
                0.9998766054701754,
                0.9999038975744003,
                0.9999646437367486
            ],
            [
                0.0019267346136284988,
                0.0007096704299359561,
                0.0013250221613385895,
                0.0019267346082556367,
                0.0015011820695003616,
                0.002800927292278506,
                1.6701417859519093e-05,
                4.0063682503642976e-05,
                0.006692851190518726,
                0.02595735865772094
            ],
            [
                0.0005527786267294612,
                0.004070138293499141,
                0.0017007222831582228,
                0.007577241540992805,
                0.04208772656390786,
                0.2450850021044189,
                0.04208772401067611,
                0.037326884131416216,
                0.006692851899443854,
                0.012431650190017029
            ],
            [
                0.0028009263057506683,
                0.0850990519679964,
                4.006371119297127e-05,
                0.015906393023865786,
                0.0953494616857507,
                0.0015011823596909734,
                0.9959298613252073,
                0.01590639448170044,
                0.025957355690778516,
                0.010986942296634338
            ],
            [
                0.0031726823726912867,
                0.18242552158390102,
                0.0002959570948015127,
                0.0013250227279290674,
                0.0015011824968466274,
                0.01798620996209156,
                0.005911069239323762,
                0.01590639144940451,
                0.004070137062789551,
                0.037326884399142314
            ],
            [
                0.9999967112513275,
                0.9999938558268668,
                0.999991060301567,
                0.9999756997535809,
                0.9999832985702098,
                0.9999898700078175,
                0.9999599362935339,
                0.999995777166053,
                0.9999810748517892,
                0.9999930377454128
            ],
            [
                0.004609573108797421,
                0.2942149783515162,
                0.04742587654349034,
                0.0040701378461399365,
                0.07585818106587033,
                0.24508500761839525,
                0.04742587519712089,
                0.02033235545746906,
                0.09534945847239201,
                0.01098694444206707
            ],
            [
                6.9622570784012604e-06,
                1.4738988983291576e-05,
                1.8925154989561007e-05,
                8.939696297969519e-06,
                1.3007131557025005e-05,
                4.7850933534310035e-06,
                3.120191875452988e-05,
                1.4738988990959142e-05,
                2.4300243601392304e-05,
                6.9622570786798724e-06
            ],
            [
                0.9999852610198027,
                0.9999687980923908,
                0.9999485577925392,
                0.9999852610110133,
                0.9988304896708934,
                0.9996646497319738,
                0.9999599362888593,
                0.9998601779444363,
                0.9999724643187834,
                0.9997040428704534
            ],
            [
                0.20181322706107543,
                0.00037998451947226527,
                0.09534946875514018,
                0.0015011825579210323,
                0.012431653723106329,
                0.0035936026181026277,
                4.00636969277356e-05,
                0.9241418267688303,
                0.06008665438181589,
                0.01590639276145556
            ],
            [
                0.9999910603047688,
                0.00015843623260169073,
                0.9997694932592941,
                0.0005527785074548412,
                0.00015843628986250498,
                0.9998415637092224,
                2.144494840289258e-05,
                0.00020342704227962043,
                0.0001795280282161958,
                0.0002959570560867475
            ],
            [
                0.9998601779764006,
                0.9999869928684568,
                0.9986749775814004,
                0.9999724643056286,
                0.9820137875046581,
                0.9998766053819869,
                0.9999646437451225,
                0.9999810748449987,
                0.9999756997622073,
                0.9999038976083269
            ],
            [
                0.9991959139826233,
                0.9978172836570878,
                0.14804719803168948,
                0.9890130576224059,
                0.9995694429209049,
                0.010986942367474094,
                0.012431649778395039,
                0.9997694933149025,
                0.16451647108926923,
                0.9984988177575718
            ],
            [
                0.20181322946142374,
                0.9875683468485911,
                0.9982992779500728,
                0.9953904282906788,
                0.9959298629674119,
                0.9996646499067261,
                0.9984988180447959,
                0.9924227596635893,
                0.24508500761839527,
                0.998299277375692
            ],
            [
                0.22270014398423357,
                0.0013250221861403973,
                0.0007096704426085909,
                NaN,
                0.22270014914315836,
                0.00010889692138256647,
                0.999860177860021,
                4.539789026032761e-05,
                0.003593601984495212,
                0.004070138440731294
            ],
            [
                0.0008040860127001462,
                0.02033235378788196,
                0.007577242171297445,
                0.02595735470179778,
                0.0017007227772918086,
                0.9964063979938287,
                0.005911069023157207,
                0.0017007223383035239,
                0.00043055712373584165,
                0.012431652236693236
            ],
            [
                0.9998415637836937,
                0.9999417087276407,
                0.9998601778764467,
                0.9999785550567244,
                0.9999417087555206,
                0.9989677688586873,
                0.9999339478634724,
                0.9999646437620401,
                0.9999417087555027,
                0.9998601779264359
            ],
            [
                0.00013982204009832413,
                0.029312230804354203,
                0.014063625558184871,
                0.007577241723080806,
                0.005911069876878333,
                0.0066928523421351275,
                0.00015843627193276794,
                0.025957357621645773,
                0.03308597576681318,
                0.03308597707775862
            ],
            [
                0.9999485577925467,
                0.9999885212277704,
                0.9999910602994367,
                0.9999785550490901,
                0.9999485577987233,
                0.9999546021205761,
                0.9999785550413672,
                0.9999852610162758,
                0.9999852610233045,
                0.9999898700102373
            ],
            [
                0.00043055698064493864,
                0.0013250225181149471,
                0.0373268900213907,
                0.0005527787680002968,
                0.0046095714059233095,
                0.006692851531050438,
                0.10669059323555341,
                0.09534947004048376,
                0.9997965731036015,
                0.020332352378008515
            ],
            [
                0.999512142950134,
                0.9998911030522135,
                0.9999785550490615,
                0.9992903294784248,
                0.9971990730523885,
                0.9989677689808916,
                0.9999339478239488,
                0.9999151889590538,
                0.9995121428931691,
                0.9999339478634724
            ],
            [
                0.9999952149032247,
                0.9999970976873235,
                0.9999945777823254,
                0.9999898700066161,
                0.999985261018041,
                0.9999869928746481,
                0.9999962733589393,
                0.999996711250935,
                0.9999646437535886,
                0.9999952149060773
            ],
            [
                0.9999869928668935,
                0.9999687980774912,
                0.9999785550464814,
                0.9999724643024899,
                0.9999898700078246,
                0.9999646437409151,
                0.9999910603005027,
                0.9998766053679846,
                0.9999938558246672,
                0.9999756997506276
            ],
            [
                0.005911069460962897,
                0.04208773182056191,
                4.006368260129212e-05,
                8.481106103659722e-05,
                0.025957354277948905,
                0.017986213712618302,
                0.2018132246607271,
                0.007577241621531728,
                0.00033535018423565797,
                0.060086645966199635
            ],
            [
                0.9999938558254005,
                0.9999970976887075,
                0.999993855827596,
                0.9999989322966211,
                0.9999910603026327,
                0.9999724643155772,
                0.9999974387187056,
                0.9999974387184003,
                0.9999599363081276,
                0.9999921107402463
            ],
            [
                6.144176064531938e-06,
                6.144176797115634e-06,
                4.222834952460187e-06,
                8.939699497855469e-06,
                1.1478764009640154e-05,
                1.4738978447684992e-05,
                1.1478769489343698e-05,
                7.889262580791891e-06,
                1.4738987232888351e-05,
                1.4738983708061067e-05
            ],
            [
                7.88926634455091e-06,
                3.2887494569044713e-06,
                4.785093923116048e-06,
                1.1478769492141554e-05,
                1.0129992181043471e-05,
                2.9023126768680736e-06,
                6.144174600471243e-06,
                1.1478766752372975e-05,
                1.1478769483372156e-05,
                2.2603242976733308e-06
            ],
            [
                0.9997388096302221,
                0.99962001548642,
                0.998498817790552,
                0.9975273763184742,
                0.9997040429490971,
                0.999569442816718,
                0.9996200155632619,
                0.9986749778426666,
                0.9998911030786712,
                0.9982992773964456
            ],
            [
                8.939698434820389e-06,
                4.222834954057889e-06,
                5.422217674287002e-06,
                5.422219614152703e-06,
                5.422221554758815e-06,
                8.939699498099386e-06,
                4.7850927818311495e-06,
                4.785093353787868e-06,
                5.422218966268274e-06,
                1.670142581373592e-05
            ],
            [
                0.9992903295415816,
                0.9978172836058714,
                0.025957358987381232,
                0.9988304899587835,
                0.13296425222296632,
                0.9997040427675268,
                0.01798621035688381,
                0.5621765008857981,
                0.6513548646660543,
                0.9998601778613962
            ],
            [
                0.0019267351088273674,
                0.00013982209003863654,
                0.00669285083450832,
                0.0001233946055745235,
                0.06754668691621382,
                0.0035936026847981513,
                0.004609572769077191,
                0.0006263342268615364,
                0.0229773699518409,
                0.06008664764932279
            ],
            [
                0.00015843625362498245,
                0.00010889694683734031,
                0.0013250227046677353,
                0.004609571123891523,
                0.9994472213287636,
                7.484623586490171e-05,
                0.0010322310553615573,
                0.9968273169925714,
                0.008577486078982382,
                0.0021827164184691984
            ],
            [
                0.005911068057248517,
                4.006369677995013e-05,
                0.9840936083173419,
                0.9149009486120849,
                0.0017007227901392836,
                0.9994472214743114,
                0.025957357433268474,
                0.9989677687711757,
                0.9986749777668747,
                0.10669058400428263
            ],
            [
                0.0015011821293532614,
                0.01098694301515186,
                9.610242614503549e-05,
                0.01098694339971055,
                0.029312228207457856,
                0.05340333055309901,
                0.1480471999111614,
                0.047425877553267444,
                0.0021827166091365527,
                0.10669058755477132
            ],
            [
                0.9999977396746248,
                0.9999957771675645,
                0.9999957771665573,
                0.9999921107402402,
                0.999988521234622,
                0.999996273359385,
                0.9999952149066486,
                0.9999957771680679,
                0.9999952149055075,
                0.999968798077556
            ],
            [
                0.9999967112517207,
                0.9999785550490721,
                0.9999974387174865,
                0.9999724642959344,
                0.9999930377404375,
                0.9999898700042035,
                0.999996273361605,
                0.9999967112493683,
                0.9999852610127665,
                0.999994577781034
            ],
            [
                0.9999785550413824,
                0.9999599362935387,
                0.9999038976089352,
                0.9999756997621748,
                0.9999251538000059,
                0.99997569976797,
                0.9997965731005354,
                0.9999339478712095,
                0.9998911030661602,
                0.9999852610127683
            ],
            [
                1.7603438428028262e-06,
                3.7266397278791014e-06,
                3.726638839395927e-06,
                3.28874945711983e-06,
                4.222832940577472e-06,
                6.144173867284299e-06,
                3.2887498493325602e-06,
                4.222833444106873e-06,
                3.2887506328279317e-06,
                1.147876675124548e-05
            ],
            [
                0.002800926646515683,
                0.017986213021731742,
                0.9975273768313053,
                0.00970847620390187,
                0.09534946875514015,
                0.00010889686961107654,
                0.015906392994709095,
                0.0002611903389536142,
                2.430025227368147e-05,
                0.012431651379147297
            ],
            [
                0.9999485577806115,
                0.9999885212291455,
                0.999796573003956,
                0.9999832985801543,
                0.9978172835206796,
                0.9992903297482238,
                0.9999898700042249,
                0.9982992775178048,
                0.9999832985801516,
                0.9999810748585525
            ],
            [
                0.00017952794293416677,
                0.012431652522541895,
                0.0011695103010927823,
                0.012431648715038296,
                0.012431648863679555,
                0.00857748424156903,
                0.053403334131154334,
                0.00020342704499362032,
                0.0015011823912751624,
                8.48110714650109e-05
            ],
            [
                0.9999756997506213,
                0.9999785550413847,
                0.9999251537461697,
                0.9999724643122878,
                0.999981074845007,
                0.9999546021424216,
                0.9999852610110167,
                0.999994577780384,
                0.9999852610180727,
                0.999891103052307
            ],
            [
                0.9997388097255065,
                0.9997694932890064,
                0.9998766054107978,
                0.9999417087067969,
                0.9997040427985349,
                0.999769493231889,
                0.9999485577618425,
                0.9999151889690979,
                0.9999832985801549,
                0.9995121427884068
            ],
            [
                0.06008664807010359,
                0.9947798746207973,
                0.16451645675203383,
                0.00857748429700822,
                0.16451645470385745,
                0.9992903297400919,
                0.00757724273156828,
                0.9999038975628417,
                0.9980732649113209,
                0.03732689015525376
            ],
            [
                0.003593602986595412,
                0.00020342704039136322,
                0.006692852292603236,
                0.012431650041375754,
                0.005911069315939758,
                0.0031726825840248988,
                0.00029595712571477416,
                0.0007096704341876869,
                0.04208773061904093,
                0.0006263341452844369
            ],
            [
                0.00013982210691394165,
                3.5356242174060406e-05,
                0.0001795279421348928,
                0.04742587166290125,
                7.484626177398998e-05,
                0.0013250222066288474,
                0.015906389874943385,
                0.010986943187191272,
                0.02931223207630352,
                0.002472622576038828
            ],
            [
                0.9999869928684492,
                0.9999785550592685,
                0.9999756997593034,
                0.9999687980737855,
                0.9999724643023675,
                0.9999832985801657,
                0.999981074858544,
                0.9999852610145218,
                0.999195913908218,
                0.9999810748450375
            ],
            [
                0.3775406617944891,
                0.11920292828022305,
                0.02297736748473919,
                0.22270013882530887,
                0.9924227570023031,
                0.5621765008857982,
                0.9980732649260963,
                0.0953494668271248,
                0.04742586863357034,
                0.009708476803815981
            ],
            [
                0.9993736657252633,
                0.20181322946142374,
                0.9997965731024886,
                0.18242551936144571,
                0.2450850186463482,
                0.9990889488090962,
                0.0052201267260963,
                0.022977369575503333,
                0.9984988176216377,
                0.9991959142105623
            ],
            [
                0.999994577778448,
                0.9999921107364751,
                0.9999962733589444,
                0.9999962733593838,
                0.9999921107355515,
                0.9999938558239369,
                0.9999945777816777,
                0.999994577779739,
                0.999995777166556,
                0.9999980052709921
            ],
            [
                0.00026119021144665273,
                0.22270013366638425,
                0.002182716190276908,
                0.005911069195543193,
                0.010986942843112447,
                0.017986210521380587,
                0.005911067742575748,
                0.008577485508750609,
                0.003593602799014239,
                0.0021827160792233353
            ],
            [
                0.9997388096284059,
                0.06008665185713089,
                0.9997694932037124,
                0.994779874891627,
                0.06754669160889748,
                0.9994472214181955,
                0.9999251537649171,
                0.9953904278590846,
                0.5926665999540697,
                0.9996646500179525
            ],
            [
                9.610242556891941e-05,
                0.00029595723280040337,
                0.00407013712885524,
                0.0010322312085370362,
                0.00015843629067854092,
                0.003593601826093376,
                0.0008040859933388852,
                9.610238025712225e-05,
                0.00048785717191353274,
                0.0015011823190328743
            ],
            [
                1.147876812238246e-05,
                1.1478772226690907e-05,
                6.1441760657054305e-06,
                1.3007123807302014e-05,
                1.6701427806612162e-05,
                2.430023492663099e-05,
                4.539789014868685e-05,
                1.0129988562661878e-05,
                1.1478766753751021e-05,
                5.422221554847581e-06
            ],
            [
                0.005911067668696057,
                0.0013250227316262328,
                7.484626269480285e-05,
                0.01098694223591455,
                0.0001795279212127229,
                0.042087725812957326,
                0.0031726824183452365,
                0.000911051067032297,
                0.0059110695923046104,
                0.02595735719779685
            ],
            [
                0.9996646498991744,
                0.9999962733602772,
                0.9999910603047643,
                0.9999910603068968,
                0.9999945777791084,
                0.9999885212264198,
                0.9999938558246689,
                0.9999485577742578,
                0.9998601779440355,
                0.9999962733611616
            ],
            [
                0.9996200155496091,
                0.020332353082945225,
                0.1329642281726931,
                0.04208772851637929,
                0.9997040429729235,
                0.0373268904229799,
                0.015906390662173926,
                0.04208772340991573,
                0.320821300824607,
                0.9995121429158188
            ],
            [
                0.9999910603058298,
                0.9999810748472654,
                0.9999898700054126,
                0.9999599362887531,
                0.9998415637470136,
                0.9999724643122099,
                0.9999687980924029,
                0.9999724642957929,
                0.9999885212360218,
                0.9999785550542215
            ],
            [
                1.892515272680245e-05,
                0.005911069362456614,
                0.002800926450770889,
                0.0017007221699028249,
                0.029312229002426103,
                0.0015011825713574015,
                0.0021827161867272503,
                0.003593602580586396,
                2.753570092878799e-05,
                0.004070137657380794
            ],
            [
                0.022977369993656186,
                0.02033235456702259,
                0.0017007227039623754,
                0.08509903746596331,
                0.0017007223104343928,
                0.9980732649547515,
                0.0066928514474653795,
                0.00048785710592266426,
                0.003593603182513537,
                0.00280092734625466
            ],
            [
                1.670142183983204e-05,
                0.24508500761839527,
                0.0028009268481133257,
                0.015906392120008366,
                0.009708477609670817,
                0.014063629755095673,
                NaN,
                0.13296422989056964,
                0.9875683469857984,
                0.017986212725637506
            ],
            [
                0.9996200155230666,
                0.9998415637839542,
                0.9989677690302294,
                0.9999885212318821,
                0.9996646498918861,
                0.18242552602881168,
                0.9890130597475983,
                0.9995694428646406,
                0.9997388097857415,
                0.9988304894837715
            ],
            [
                2.1444958628814052e-05,
                2.1444950932047874e-05,
                1.3007125357378736e-05,
                1.0129995808639442e-05,
                3.120191872978506e-05,
                1.3007134663876127e-05,
                1.3007131561425676e-05,
                8.939697367492512e-06,
                2.7535694357535878e-05,
                1.0129987355785634e-05
            ],
            [
                7.484626264416086e-05,
                2.7535691010805792e-05,
                2.1444958621558693e-05,
                5.1442219595825146e-05,
                4.539788483220847e-05,
                3.1201926224857616e-05,
                2.753569104606616e-05,
                7.484620881011638e-05,
                0.0001233946326959336,
                4.7850967754851966e-06
            ],
            [
                0.9997965729584071,
                0.9999832985801543,
                0.999985261014532,
                0.9999921107355344,
                0.9999810748450013,
                0.999986992865353,
                0.999993855823214,
                0.9999832985801738,
                0.9999785550516034,
                0.999991060305831
            ],
            [
                6.96225956837018e-06,
                3.726638838968869e-06,
                1.8925148232956223e-05,
                6.962253759157502e-06,
                4.785093352482268e-06,
                3.726639283752725e-06,
                1.0129989769188164e-05,
                4.222834954403545e-06,
                2.561281294123034e-06,
                1.3007126906036072e-05
            ],
            [
                0.00591106917912548,
                0.00048785715916948913,
                0.0009110510464753438,
                0.0066928520325608065,
                0.008577485580029581,
                0.00017952800803843798,
                0.005220125766102037,
                0.008577484653403024,
                0.03308598160647967,
                0.006692851571295096
            ],
            [
                0.04742587721667507,
                0.03308598136812592,
                0.0001584362905425349,
                0.004070137710233353,
                0.004609573187851818,
                0.006692849707658113,
                0.00970847694707906,
                0.037326886273225016,
                0.0011695105314593406,
                0.9914225135250233
            ],
            [
                0.9999546021098314,
                0.9999852610110079,
                0.9999599363031432,
                0.9999810748517721,
                0.9999646437578229,
                0.9999832985801673,
                0.9997040428726406,
                0.9998601778956311,
                0.9999546021422361,
                0.9999417087347396
            ],
            [
                0.9984988174801196,
                0.009708475980053331,
                9.610241466746177e-05,
                0.00857748624529999,
                0.01798621391001447,
                0.9975273771201677,
                0.03308598184483343,
                0.014063628166726209,
                0.009708477144065794,
                NaN
            ],
            [
                0.9999151889689306,
                0.11920292515117029,
                0.9998204719509451,
                0.9993736659103513,
                0.9999687980849222,
                0.999860177943533,
                0.9995121428965468,
                0.9998766054407237,
                0.999933947839643,
                0.9998415637848762
            ],
            [
                0.09534946425643773,
                0.9999251537996711,
                NaN,
                0.9996646498520593,
                0.9999724642957943,
                0.9998204719939493,
                0.9998415638032002,
                0.9933071487599494,
                0.09534947068315555,
                0.09534945525903342
            ],
            [
                3.2887478888496478e-06,
                5.4222196154940574e-06,
                3.7266383938732464e-06,
                1.0129988561077228e-05,
                5.422218969128516e-06,
                4.785093922524176e-06,
                8.939694170940841e-06,
                6.962254581075343e-06,
                5.422218320820059e-06,
                3.7266410604686857e-06
            ],
            [
                0.9999546021206008,
                0.9999785550465053,
                0.9999756997650872,
                0.9999599363126432,
                0.9999485577927147,
                0.9999756997564363,
                0.9999546021476909,
                0.9999898700066242,
                0.999988521229213,
                0.9999038975396558
            ],
            [
                0.9989677688597677,
                0.994779873421409,
                0.9999417087345535,
                0.9988304899241062,
                0.999841563746375,
                0.9947798736849844,
                0.9998601779597389,
                0.9999756997563999,
                0.9999038975737626,
                0.9997694933152848
            ],
            [
                0.9990889489561737,
                0.999088948599606,
                7.484620018247132e-05,
                0.9995694429707562,
                5.144223195167328e-05,
                0.2689414272294874,
                0.9992903296505993,
                5.144221360709674e-05,
                1.4738983722270186e-05,
                3.120190019932095e-05
            ],
            [
                0.010986942438313847,
                0.0024726236780801118,
                0.015906391099524245,
                0.0600866476493228,
                0.006692852038752293,
                0.0021827166811439085,
                0.10669058968506456,
                0.005911068391075299,
                0.015906395181461117,
                0.1645164608483867
            ],
            [
                8.48110712595401e-05,
                5.8291286228722664e-05,
                0.9999546021479288,
                0.9995694429669987,
                0.001325022162725026,
                0.9999038975509362,
                0.999933947855452,
                0.9999546021315165,
                0.9998204720562509,
                0.9988304894577974
            ],
            [
                0.9999810748495163,
                0.9999832985742033,
                0.9999785550515996,
                0.9999898700090719,
                0.9999852610145392,
                0.9999756997679917,
                0.9999417087069429,
                0.9999910603058344,
                0.9999339478792325,
                0.9999930377445815
            ],
            [
                0.9999938558261359,
                0.9999952149060772,
                0.999991060304775,
                0.9999898700041934,
                0.9999938558224714,
                0.9999885212305138,
                0.9999599362983168,
                0.9999957771670661,
                0.9999339478640791,
                0.9999930377412627
            ],
            [
                0.9999687980961081,
                0.9999910603058326,
                0.9999785550439397,
                0.9999938558268673,
                0.9999151889792061,
                0.99999211073648,
                0.9998911030394252,
                0.9999485577680443,
                0.9999546021369361,
                0.9999810748517691
            ],
            [
                0.999769493205235,
                0.9959298614044862,
                0.9999038975858388,
                0.9978172839375108,
                0.9953904273249334,
                0.9999151889591329,
                0.9840936097460198,
                0.9975273771632386,
                0.9978172839577945,
                0.9992903295652756
            ],
            [
                0.9997965729542014,
                6.605217594790412e-05,
                0.9999151889390979,
                0.9999038975853689,
                0.9980732656997884,
                0.9995121429610616,
                0.9997040428722187,
                0.999373665787093,
                0.9947798751576202,
                0.979667648438234
            ],
            [
                0.9999921107336538,
                0.9999977396746256,
                0.9999952149037954,
                0.9999930377429329,
                0.9999945777797501,
                0.9999910603015695,
                0.9999756997651137,
                0.9999921107374239,
                0.999994577782974,
                0.9999869928669014
            ],
            [
                0.015906390312293683,
                0.02297736807015313,
                0.2689414330889797,
                8.481104119602078e-05,
                0.010986944391467237,
                0.025957354466326184,
                0.9975273762719575,
                0.002800926407199791,
                0.004609572858814607,
                0.0015011820119159415
            ],
            [
                0.9999724643023616,
                0.9999921107383638,
                0.999993037742095,
                0.9999930377412616,
                0.9999251537729958,
                0.999975699756404,
                0.9999885212264054,
                0.9999546021206901,
                0.9999921107392991,
                0.9999910603036979
            ],
            [
                0.4073334000459302,
                0.01243165092178949,
                0.9984988175495699,
                0.9975273771121278,
                0.04208772325972563,
                0.9953904283056351,
                0.02931223223529719,
                0.22270013366638425,
                0.9990889489133115,
                0.9992903296761921
            ],
            [
                0.9998601779436082,
                0.9988304895331358,
                0.9980732652180219,
                0.9998766054254141,
                0.9999646437450999,
                0.999933947847567,
                0.9996646498999843,
                0.9999687980960972,
                0.9953904272736549,
                0.9992903295610652
            ],
            [
                0.9989677690404332,
                0.9995121428427038,
                0.9997694933428107,
                0.9980732657141161,
                0.9989677687931436,
                0.9997388096635922,
                0.03308598172565655,
                0.09534945782972029,
                0.3775406687981454,
                0.13296425050508953
            ],
            [
                0.999959936312817,
                0.9999687980813863,
                0.9999646437579751,
                0.9998415637112301,
                0.9959298629655243,
                0.9997965730079634,
                0.9999251537730732,
                0.9959298626842733,
                0.9997040429085481,
                0.9998415638417197
            ],
            [
                0.9999785550567968,
                0.9999852610215635,
                0.999991060306898,
                0.999991060299441,
                0.9999962733593841,
                0.9999898700053997,
                0.9998911030918368,
                0.9999910603047677,
                0.9999832985781686,
                0.9999646437620372
            ],
            [
                0.004070138553986801,
                0.012431649080924475,
                0.1824255304737224,
                0.042087729267329864,
                9.610241484924595e-05,
                0.006692850812838122,
                0.0005527785067473618,
                0.003593601918633395,
                0.002472623671188763,
                0.0008040860828028803
            ],
            [
                0.9995694429758416,
                0.9996200155206787,
                0.9995694428188725,
                0.9996200154314223,
                0.9999546021314331,
                3.120190017071685e-05,
                1.892514819371287e-05,
                0.9999485577742193,
                4.539786316234683e-05,
                5.1442225851784594e-05
            ],
            [
                0.9997965730768226,
                0.9997388095727764,
                0.06754669207816587,
                0.9991959140600682,
                0.09534947261117098,
                0.03732688654095113,
                0.5,
                0.999664649980838,
                0.9990889486834762,
                0.9999339478792099
            ],
            [
                0.999964643757835,
                0.9999832985702067,
                0.9999885212359858,
                0.9999852610233173,
                0.9999952149032283,
                0.9999970976880204,
                0.999994577778448,
                0.9999967112497602,
                0.9999646437620522,
                0.9999885212305398
            ],
            [
                0.9993736659340337,
                0.5621765008857982,
                0.20181321745968234,
                0.017986207988130422,
                0.9996646498531228,
                0.9997694933423009,
                0.9996646498975841,
                0.9998766053673704,
                7.48462003659803e-05,
                0.9992903295041828
            ],
            [
                0.0008040859109366152,
                0.007577241309881117,
                NaN,
                0.00247262292520037,
                0.0019267348567505312,
                0.40733340004593027,
                0.34864512179822543,
                0.9995121427869025,
                0.06754668363133542,
                0.9995121429607778
            ],
            [
                0.9994472213282812,
                0.025957359458324506,
                0.9999417087068126,
                0.9993736657107988,
                1.3007123811513407e-05,
                0.9995694428777923,
                0.1480472055495773,
                0.9980732651974258,
                0.025957354654703464,
                0.9990889490170499
            ]
        ]
    },
    {
        "q_id": "10430_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            30,
            32,
            33,
            35,
            36,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            78,
            79,
            80,
            81,
            82,
            83,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            96,
            97,
            98,
            100,
            102,
            104,
            105,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            126,
            127
        ],
        "rewards": [
            [
                0.7549149868676283,
                0.999569442965746,
                0.7549149813536518,
                0.9241418131886822,
                0.26894142136999516,
                0.9999151889866079,
                0.7310585786300048,
                0.9740426432731464,
                0.9999339478557172,
                0.4378234991142019
            ],
            [
                0.9999994956527722,
                0.9999994956525317,
                0.99999862904312,
                0.9999996072138465,
                0.999999694097846,
                0.9999997617631752,
                0.9999996072136125,
                0.9999995549150541,
                0.9999998724809571,
                0.9999998362622943
            ],
            [
                0.9999994956525318,
                0.9999993524049702,
                0.999999057755743,
                0.9999967112517189,
                0.9999977396748939,
                0.9999930377420913,
                0.999992110736474,
                0.9999996072138934,
                0.9999994956524716,
                0.9999996072139402
            ],
            [
                0.9999992661790195,
                0.999998446502801,
                0.999999266178757,
                0.9999994284994167,
                0.9999994956524115,
                0.9999996072139402,
                0.9999996533675028,
                0.999998446502801,
                0.999998446502801,
                0.9999989322966208
            ],
            [
                0.9999984465016898,
                0.9999970976876689,
                0.999999554914842,
                0.9999980052700408,
                0.9999987901344607,
                0.9999997300422547,
                0.9999994284993486,
                0.9999989322970027,
                0.9999987901344607,
                0.9999967112513266
            ],
            [
                0.9999996533672136,
                0.9999996940977731,
                0.9999995549147359,
                0.9999993524052789,
                0.9999986290426298,
                0.9999999226558053,
                0.999999653367379,
                0.9999957771650453,
                0.9999982396567867,
                0.9999930377420904
            ],
            [
                0.9999832985781592,
                0.9999546021205649,
                0.9999832985701939,
                0.9999852610233012,
                0.999997097686631,
                0.9999687980960696,
                0.9999724643121898,
                0.9999921107383551,
                0.9999930377437511,
                0.9999832985701973
            ],
            [
                0.9999997617630332,
                0.9999989322975118,
                0.9999991684719725,
                0.9999997617630617,
                0.9999998874647306,
                0.9999998555019446,
                0.9999998144609423,
                0.9999997617629764,
                0.999999887464905,
                0.9999999123575464
            ],
            [
                0.999999694097846,
                0.9999996940976272,
                0.9999999317440034,
                0.9999998555019274,
                0.9999989322975118,
                0.9999998874647306,
                0.999999694097846,
                0.9999970976869769,
                0.9999990577554061,
                0.9999998724810026
            ],
            [
                0.9999986290427931,
                0.9999993524050473,
                0.9999984465022455,
                0.9999962733611605,
                0.9999997617631752,
                0.9999993524054334,
                0.9999989322973845,
                0.9999992661788446,
                0.9999989322972572,
                0.9999990577555185
            ],
            [
                0.40733340004593027,
                0.3208213073183839,
                0.9989677691901273,
                0.7057850340255386,
                0.22270013882530884,
                0.9997040429026841,
                1.4738978454172926e-05,
                0.9820137889193303,
                0.9971990734178654,
                0.4073334000459302
            ],
            [
                0.04742587704837889,
                0.5312093733737563,
                0.9997388096021795,
                0.9990889486038445,
                0.9999546021316305,
                0.24508502416032485,
                0.9994472212520021,
                0.37754066879814546,
                0.3486451353339458,
                0.3775406758018019
            ],
            [
                0.9999998362623528,
                0.999999730042126,
                0.9999994284993486,
                0.9999998144609202,
                0.9999997617631184,
                0.9999999586006344,
                0.9999996533674614,
                0.999999814460876,
                0.9999992661792819,
                0.9999994956524114
            ],
            [
                0.6224593382055109,
                0.10669058613457583,
                0.851952809486198,
                0.37754066879814546,
                4.222831933649433e-06,
                0.7772998560157665,
                0.6791786926816161,
                0.20181322946142372,
                0.7772998663336158,
                0.060086649122055594
            ],
            [
                0.999876605469328,
                0.9999945777810303,
                0.9999785550439201,
                0.9999930377412605,
                0.9999724643089045,
                0.9999967112501504,
                0.9999756997563743,
                0.9999785550464765,
                0.9999967112509347,
                0.9999967112509347
            ],
            [
                0.9999930377420927,
                0.9999810748548306,
                0.7772998560157665,
                0.9999687980960844,
                NaN,
                0.9999852610110004,
                0.9999910603026309,
                0.9999724643056309,
                0.9999417087136733,
                0.9999756997476967
            ],
            [
                0.9999984465026158,
                0.9999994284994849,
                0.9999994284994849,
                0.9999992661789321,
                0.999999266178757,
                0.9999995549151072,
                0.9999996940977002,
                0.9999991684716749,
                0.9999974387171787,
                0.99999893229713
            ],
            [
                0.9999996940976636,
                0.9999997617629764,
                0.9999999226558514,
                0.9999996940978825,
                0.9999998362622746,
                0.9999996072137998,
                0.9999998144608319,
                0.9999995549150011,
                0.9999997300422547,
                0.9999999123574732
            ],
            [
                0.9999996072137998,
                0.9999996940976636,
                0.9999994284993485,
                0.999999931743979,
                0.9999998144608983,
                0.9999994956523514,
                0.9999998144608319,
                0.9999994956527722,
                0.999999855502048,
                0.999999266178932
            ],
            [
                0.9995121428257875,
                0.9999910603004992,
                0.9840936061597468,
                0.9999885212359804,
                0.9999938558232017,
                0.9999952149055054,
                0.9999977396751634,
                0.9999885212359813,
                0.9998204719912301,
                0.9999810748495038
            ],
            [
                0.9999546021476133,
                0.9998766054546218,
                0.999972464312183,
                0.9999910603047715,
                0.9999785550515911,
                0.9999910603036961,
                0.9999898700053976,
                0.9999832985801479,
                0.9999038975850886,
                0.9999417087553089
            ],
            [
                0.9999989322975118,
                0.9999995549149481,
                0.9999995549147889,
                0.9999992661788445,
                0.9999998555019274,
                0.9999995549147358,
                0.999999900688043,
                0.9999996940978095,
                0.9999996072138465,
                0.9999997617631184
            ],
            [
                0.9999151889284615,
                0.9996646498147593,
                0.9997694931767768,
                0.9998204720790851,
                0.999569442918976,
                0.0009110513185901003,
                0.7772998663336158,
                0.9997388097863419,
                0.9993736659002589,
                0.9997965730274941
            ],
            [
                0.9998911031038012,
                0.9999599362983116,
                0.9999756997534786,
                0.9999339478553626,
                0.9996646499320739,
                0.9998204720130326,
                0.999941708741432,
                0.9999546021260088,
                0.99989110303972,
                0.9999832985781607
            ],
            [
                0.9999998362622357,
                0.9999995549147359,
                0.9999998144608319,
                0.9999996940977002,
                0.9999997897565838,
                0.9999994956527722,
                0.9999996072138465,
                0.999999554914789,
                0.9999999006881259,
                0.9999996533674614
            ],
            [
                0.9999885212359817,
                0.9997388097286302,
                0.99999862904214,
                0.9999921107383642,
                0.99999303774127,
                0.9999991684722878,
                0.999986992869988,
                6.605212079008656e-05,
                0.9999832985802232,
                0.9999945777790912
            ],
            [
                2.5612815999423112e-06,
                2.9023109471452223e-06,
                8.315281267834927e-07,
                1.3709567165386693e-06,
                5.422221555133606e-06,
                5.144223204149862e-05,
                1.9947299592570416e-06,
                1.5534975693347152e-06,
                2.5612819053166966e-06,
                7.889260704631679e-06
            ],
            [
                0.999999694097846,
                0.9999996072138934,
                0.9999993524051246,
                0.9999991684718732,
                0.9999987901346049,
                0.9999996533672549,
                0.999999554914789,
                0.999999428499553,
                0.9999994284995529,
                0.9999998144609203
            ],
            [
                0.9999998144608981,
                0.9999996940977366,
                0.9999990577552937,
                0.999999730042319,
                0.999999814460876,
                0.9999992661791945,
                0.9999999226558145,
                0.9999998144609202,
                0.9999997897567341,
                0.9999999468421249
            ],
            [
                0.9999997617631468,
                0.9999995549151073,
                0.9999986290423029,
                0.9999982396574163,
                0.999997438717484,
                0.9999996940978095,
                0.9999996072138465,
                0.9999994284992805,
                0.9999994956527722,
                0.9999995549150542
            ],
            [
                0.9999986290421394,
                0.9999990577556308,
                0.9999982396565769,
                0.999999694097846,
                0.9999869928715392,
                0.999999266178932,
                0.9999967112501508,
                0.9999832985701967,
                0.9999970976873229,
                0.9999930377420904
            ],
            [
                0.9999785550413615,
                0.9999921107374146,
                0.9999898700090215,
                0.9999957771645419,
                0.9999038976080066,
                0.999996273360716,
                0.9999938558253982,
                0.9999485577802159,
                0.9999945777797379,
                0.9999938558275953
            ],
            [
                0.9999994956524716,
                0.9999997617631469,
                0.9999998724809875,
                0.999999900688043,
                0.9999998555020307,
                0.9999998144608981,
                0.9999998724809875,
                0.9999998874648379,
                0.9999999123575045,
                0.9999997300422225
            ],
            [
                0.9999996072137529,
                0.9999996072138465,
                0.9999996940978825,
                0.999999730042319,
                0.9999997300420937,
                0.9999997897567091,
                0.9999998555019274,
                0.9999997897567341,
                0.9999999317439872,
                0.9999994956524716
            ],
            [
                0.9999485578048216,
                0.9998601779593687,
                0.9998911030649195,
                0.9999785550439235,
                0.9999417087484088,
                0.9998415637266933,
                0.9982992773794473,
                0.0005527785380372501,
                0.9999251537638819,
                0.9999485577802343
            ],
            [
                0.9993736657546297,
                0.9997040427608189,
                0.9988304894749322,
                0.9988304896201693,
                0.9998766054692795,
                0.9997388097224288,
                0.9992903294611288,
                0.9980732652077238,
                0.9999485577863596,
                0.9998911030779662
            ],
            [
                0.0024726235080935145,
                0.4378234991142019,
                0.99682731731804,
                0.0075772421397822115,
                0.46879062662624377,
                0.5621765008857981,
                0.40733340004593027,
                0.7772998611746912,
                0.9971990736734392,
                0.9998601778835509
            ],
            [
                0.8670357718273068,
                0.9999546021321649,
                0.999975699765884,
                0.20181322946142372,
                0.679178699175393,
                0.9999417087068805,
                0.9988304898134106,
                0.9993736659721079,
                0.7549149758396752,
                0.9998415637838366
            ],
            [
                0.9999992661787571,
                0.9999993524053562,
                0.9999993524050474,
                0.9999991684721706,
                0.999999653367379,
                0.9999986290424663,
                0.9999989322966208,
                0.9999994956527722,
                0.9999984465015047,
                0.9999984465028011
            ],
            [
                0.9999996072136125,
                0.9999995549150011,
                0.9999998144608983,
                0.9999989322975118,
                0.9999989322973846,
                0.9999996533674615,
                0.9999989322971299,
                0.9999996940977366,
                0.999998629042303,
                0.9999982396569966
            ],
            [
                0.9998415638211644,
                0.9998601779111128,
                0.9998766054693765,
                0.9998911030390306,
                0.9999339478559834,
                0.99987660541069,
                0.9997040428665956,
                0.37754066879814546,
                0.7057850402140659,
                0.5926665999540698
            ],
            [
                0.9999995549150011,
                0.9999997300422547,
                0.9999994284996211,
                0.999998790134028,
                0.9999997300422868,
                0.9999980052695652,
                0.9999996072136125,
                0.9999996533675028,
                0.999999352404893,
                0.9999991684718732
            ],
            [
                0.999964643736649,
                0.9999485577936803,
                0.679178699175393,
                0.999959936312614,
                0.32082131381216084,
                0.3486451217982255,
                0.9149009567332237,
                0.4687906266262437,
                0.5,
                0.9999687980737704
            ],
            [
                0.9991959139573227,
                0.9999251537639298,
                0.999860177926322,
                0.9997694932577313,
                0.9992903296313219,
                0.9990889488932313,
                0.9999485577864075,
                0.9998601778926324,
                0.9990889489897112,
                0.9997965730510352
            ],
            [
                0.9999996533672135,
                0.9999998874648379,
                0.9999993524050474,
                0.9999995549150011,
                0.9999994956525317,
                0.9999996533674201,
                0.9999996533675028,
                0.999999814460876,
                0.9999998555019618,
                0.9999995549147359
            ],
            [
                3.4663253846316044e-07,
                3.7266383955611403e-06,
                6.962258738701267e-06,
                1.7603432132912532e-06,
                1.1478770862255766e-05,
                8.315282258956806e-07,
                7.338212429537553e-07,
                3.466324971415162e-07,
                6.144177531599359e-06,
                7.889265407004852e-06
            ],
            [
                0.9999996940977366,
                0.9999990577551815,
                0.9999984465018751,
                0.9999999123575568,
                0.9999998144608983,
                0.9999991684721706,
                0.9999996940976272,
                0.999999730042319,
                0.9999997897566589,
                0.9999998144608983
            ],
            [
                1.8925143725892257e-05,
                1.3007130008887624e-05,
                8.93969523358515e-06,
                1.4738988995838502e-05,
                6.144177530548804e-06,
                7.88925976283858e-06,
                6.144176065828368e-06,
                5.422218322851817e-06,
                4.785093923847183e-06,
                4.785095064601411e-06
            ],
            [
                0.9999991684717742,
                0.9999997897565587,
                0.9999999123575464,
                0.9999996533674614,
                0.9999998724809723,
                0.9999999006880549,
                0.9999998724809115,
                0.9999997617630616,
                0.9999832985721853,
                0.9999999006880668
            ],
            [
                0.9324533083911024,
                0.9999998724809115,
                0.9999038975719267,
                0.9999724643089074,
                0.9999417087553522,
                0.9999999123575045,
                0.9999756997519229,
                0.9999993524052019,
                0.999999789756684,
                0.9999996533674615
            ],
            [
                8.481108174842393e-05,
                1.300712846217e-05,
                8.481108171572136e-05,
                2.4300240727367308e-05,
                0.00010889689631124415,
                1.4738976698757546e-05,
                2.7535684533717236e-05,
                2.7535691097454142e-05,
                0.0002034270217692409,
                0.0006263341700235384
            ],
            [
                0.9999996533672135,
                0.9999997300422225,
                0.9999992661792819,
                0.9999990577554061,
                0.9999998874647842,
                0.9999991684716749,
                0.9999997300422868,
                0.9999996072138465,
                0.9999996533672962,
                0.9999990577554061
            ],
            [
                0.9971990729632952,
                0.9998911030909574,
                0.9995121427636566,
                0.9999038975507369,
                0.9992903295410863,
                0.9999980052700759,
                0.9840936119910845,
                0.9998204720126564,
                0.9999785550541487,
                0.9997040428307913
            ],
            [
                0.9999986290432835,
                0.9999994284992805,
                0.9999998144609423,
                0.999999730042319,
                0.9999996072136592,
                0.9999991684720715,
                0.9999994956525317,
                0.999999855501979,
                0.999999855502048,
                0.999999352404893
            ],
            [
                0.999997097686977,
                0.9999992661791944,
                0.9999987901341724,
                0.9999989322968754,
                0.9999996533674614,
                0.9999989322970027,
                0.9999989322970027,
                0.9999987901346049,
                0.9999984465018751,
                0.99999893229713
            ],
            [
                0.9999997300422547,
                0.9999993524053562,
                0.9999998724809116,
                0.9999994284995529,
                0.9999998555019274,
                0.9999996940978095,
                0.9999999397642437,
                0.9999995549150542,
                0.999999730042126,
                0.9999998874649184
            ],
            [
                0.9999998724808963,
                0.9999989322967482,
                0.9999994956525918,
                0.9999986290427931,
                0.9999998724809115,
                0.9999994284994849,
                0.9999994284997573,
                0.999999495652652,
                0.9999998724809115,
                0.9999996940978095
            ],
            [
                0.9999996533672136,
                0.999999554914895,
                0.9999930377454114,
                0.9999997300421903,
                0.9999997617631184,
                0.9999998724810027,
                0.9999987901343165,
                0.9999982396572065,
                0.9999997617631184,
                0.9999989322968754
            ],
            [
                1.1478764019077695e-05,
                8.939697369151141e-06,
                1.6701423833011596e-05,
                1.670142582300158e-05,
                4.0063692152253866e-05,
                2.7535681241281285e-05,
                1.8925143726890553e-05,
                2.1444950966608343e-05,
                6.605214455429738e-05,
                1.670142183934597e-05
            ],
            [
                0.5621765008857981,
                0.5,
                0.9999832985801963,
                0.9996200154265803,
                0.9997694933131654,
                0.9996646498115299,
                0.9998204719482784,
                0.9996200155176277,
                0.9993736658241105,
                0.9995121428861868
            ],
            [
                2.561281905376098e-06,
                2.144495608046625e-05,
                3.288750241473551e-06,
                2.902313368963394e-06,
                1.300712846411008e-05,
                6.144175334172377e-06,
                2.561282515988704e-06,
                5.422217676797111e-06,
                8.939695237813028e-06,
                3.288749457383046e-06
            ],
            [
                0.9999994284994849,
                0.999999694097846,
                0.9999996533672135,
                0.9999994956527121,
                0.9999986290432834,
                0.9999974387187053,
                0.9999984465016898,
                0.9999984465024306,
                0.99999862904312,
                0.99999976176309
            ],
            [
                0.9999994956525918,
                0.9999998874647976,
                0.9999996072139402,
                0.9999998362623528,
                0.9999994284994849,
                0.9999997300422547,
                0.9999998874647842,
                0.9999995549150011,
                0.9999984465026158,
                0.9999994284993486
            ],
            [
                0.9999997300422547,
                0.9999994956524716,
                0.999999554915001,
                0.9999994956527121,
                0.9999997617630049,
                0.9999993524050473,
                0.9999997897566589,
                0.9999998362622943,
                0.9999999530883843,
                0.9999997300422547
            ],
            [
                0.9999996533674615,
                0.9999998362623332,
                0.9999998362622552,
                0.9999996940977366,
                0.9999996533672962,
                0.9999994956526519,
                0.9999999226557961,
                0.9999997617630333,
                0.9999996533675028,
                0.9999996533675028
            ],
            [
                0.1329642436335826,
                0.9924227580107906,
                0.9995121429492259,
                0.9953904277565276,
                0.08509904848750827,
                0.22270014398423357,
                0.43782349911420193,
                0.9902915243512425,
                0.9924227585430477,
                0.9890130560032114
            ],
            [
                9.422450431912e-07,
                2.753569765908901e-05,
                7.338210679949506e-07,
                1.473898899908247e-05,
                9.422445938917108e-07,
                6.475945666033422e-07,
                8.481108178729678e-05,
                7.338213304283347e-07,
                2.144495352642369e-05,
                6.9622554153915155e-06
            ],
            [
                0.999999789756684,
                0.9999996072138934,
                0.999999352404893,
                0.9999996533674614,
                0.9999994284994167,
                0.9999999530883955,
                0.9999998555019274,
                0.9999999123574941,
                0.9999997300421581,
                0.9999996072136125
            ],
            [
                0.9999997897566089,
                0.9999996940977731,
                0.9999996940977002,
                0.9999998724809419,
                0.9999993524053562,
                0.9999998724809875,
                0.9999997897565838,
                0.9999998362623528,
                0.9999994956527121,
                0.9999996940976272
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9999417087276058,
                0.24508501864634824,
                0.5621765008857981,
                2.7535704212311033e-05,
                0.9999646437535561,
                0.9999151889493628,
                0.9997694933413285
            ],
            [
                0.999999352405279,
                0.9999998874648915,
                0.9999996072136592,
                0.9999990577556308,
                0.9999997617630049,
                0.9999984465026158,
                0.9999996533672135,
                0.9999997897567342,
                0.9999990577556308,
                0.9999998724809267
            ],
            [
                2.260325375650449e-06,
                3.5356246488642456e-05,
                7.48462272350754e-05,
                3.12019225291377e-05,
                1.5534983100920427e-06,
                2.430024362791279e-05,
                1.1478772229300848e-05,
                1.1478772229781076e-05,
                0.00029595720543483767,
                1.4738985483504099e-05
            ],
            [
                0.02931223085735209,
                2.1444950945466384e-05,
                0.047425870484828096,
                0.00013982205708144615,
                0.020332352044091128,
                NaN,
                0.7549149813536518,
                0.02033235252641624,
                0.010986941901955722,
                0.06754669864792355
            ],
            [
                0.9999970976887068,
                0.9999832985701949,
                0.9999952149072165,
                0.9999957771660523,
                0.9999982396569965,
                0.9999962733602716,
                0.9999962733620487,
                0.9999986290424663,
                0.9999921107383551,
                0.9999921107392957
            ],
            [
                0.9999998362623332,
                0.9999992661788445,
                0.9999995549147358,
                0.999999730042126,
                0.9999997617631752,
                0.9999993524049702,
                0.9999996072136592,
                0.9999998874648782,
                0.9999992661786695,
                0.9999998874647842
            ],
            [
                0.9999998724809571,
                0.9999996533672136,
                0.9999998724810026,
                0.9999994284997573,
                0.9999997617630616,
                0.9999991684722697,
                0.9999995549150542,
                0.9999997897566589,
                0.9999994956527722,
                0.9999997897566089
            ],
            [
                0.999841563840279,
                0.9999724643187647,
                0.9999417087275321,
                0.9999417087484173,
                0.9999485577924947,
                0.9999646437577681,
                0.9999646437535114,
                0.9996646497344911,
                0.999903897550844,
                0.0004878572320858593
            ],
            [
                6.962257909501028e-06,
                6.144176066795103e-06,
                9.422443692330485e-07,
                1.9947306726358406e-06,
                3.927862470861484e-07,
                7.889264466230069e-06,
                7.338213304243302e-07,
                4.222831934202483e-06,
                1.0677033791437343e-06,
                4.450851580540182e-07
            ],
            [
                2.1024329090685577e-07,
                4.450851049941403e-07,
                4.450851049941403e-07,
                8.31528126775552e-07,
                8.315282258956806e-07,
                7.889259763857458e-06,
                2.1024339116010604e-07,
                7.338209805090567e-07,
                4.2228324377164004e-06,
                9.422444815679433e-07
            ],
            [
                0.9999995549149481,
                0.9999997300422547,
                0.9999994956527121,
                0.9999997617630617,
                0.9999996533672962,
                0.9999997300422225,
                0.9999998555019963,
                0.9999994284993485,
                0.9999993524052018,
                0.9999994956525918
            ],
            [
                0.9989677691963695,
                0.9991959141477551,
                0.9933071491438215,
                0.9046505254608136,
                0.9995694429263661,
                0.9980732649825114,
                0.9740426422841656,
                0.9978172833097284,
                0.9914225140477358,
                0.9988304894864913
            ],
            [
                0.9999832985741949,
                0.9999724642990586,
                0.9999885212305073,
                0.9995694428654172,
                0.9999945777816769,
                0.9999832985761683,
                0.9999546021205679,
                0.9999038975736549,
                0.9999885212264018,
                0.9997965729540327
            ],
            [
                0.9999962733616047,
                0.9999986290421395,
                0.9999898700053983,
                0.9999970976887068,
                0.9999995549149481,
                0.9999869928684474,
                0.9999989322970028,
                0.9999992661791944,
                0.999978555054151,
                0.9999982396561574
            ],
            [
                0.9999998144608538,
                0.9999996533674615,
                0.9999993524053562,
                0.999999730042126,
                0.999999789756684,
                0.9999998555020306,
                0.9999996940977366,
                0.999999694097846,
                0.9999996072138934,
                0.9999991684718733
            ],
            [
                1.0129995810076682e-05,
                0.00013982209003863654,
                0.9999417087414243,
                0.9997040427620245,
                0.9999869928746383,
                0.9999599363078551,
                0.9999417087553165,
                0.9984988175589928,
                0.9998415637077608,
                0.9996200155605424
            ],
            [
                6.144173868670137e-06,
                3.9278638755456876e-07,
                7.889265406294507e-06,
                4.450851580555361e-07,
                2.561281600049467e-06,
                1.0677033791495609e-06,
                1.7603436329978976e-06,
                6.144172402452975e-06,
                1.3709576971316842e-06,
                9.422450431912e-07
            ],
            [
                0.9995694429078034,
                0.9999251537998535,
                0.9996200155154941,
                0.9998766054696027,
                0.9997388096603245,
                0.9999151889198479,
                0.9997388096374799,
                0.8519527982093666,
                0.9980732656577009,
                0.9991959142469933
            ],
            [
                0.9999992661786696,
                0.999999266178757,
                0.9999986290426297,
                0.9999993524053562,
                0.9999997897566338,
                0.9999996940977366,
                0.9999998724809419,
                0.999999554914895,
                0.9999910603026305,
                0.9999998362623332
            ],
            [
                0.9999994956527722,
                0.9999996940977731,
                0.9999994284993486,
                0.9999998555020307,
                0.9999995549150011,
                0.9999998874647842,
                0.9999999123575255,
                0.9999999006880785,
                0.9999997897567091,
                0.9999998724809419
            ],
            [
                0.9999945777810304,
                0.9999945777823245,
                0.9999962733616046,
                0.9999996533674202,
                0.9999852610145155,
                0.9999869928668849,
                0.9999982396574162,
                0.9999599363078145,
                0.9999987901347492,
                0.9999989322967482
            ],
            [
                0.9999995549151073,
                0.9999987901341723,
                0.9999997617630332,
                0.9999989322968753,
                0.9999990577554061,
                0.9999992661787571,
                0.9999997617630333,
                0.9999997897566089,
                0.9999997897565838,
                0.9999993524050474
            ],
            [
                2.7535697643963113e-05,
                0.007577240749610386,
                8.481103119027577e-05,
                6.962258737650141e-06,
                7.889260703763482e-06,
                1.892515274546026e-05,
                7.484621814783886e-05,
                1.6701425814404263e-05,
                2.4300232033865884e-05,
                2.7535681246690542e-05
            ],
            [
                2.5612812946681295e-06,
                1.9947299592824403e-06,
                7.889261644358435e-06,
                5.422217030614265e-06,
                1.5534983101301911e-06,
                2.2603253755949437e-06,
                6.962257079629686e-06,
                1.5534979397394734e-06,
                3.2887490653647836e-06,
                1.5534984953199313e-06
            ],
            [
                0.8807970732843033,
                0.9997388097552213,
                0.9996200155643231,
                0.9875683470544021,
                0.9996646497376619,
                5.144223814063949e-05,
                4.006369693691754e-05,
                NaN,
                0.3486451217982255,
                0.9993736659368756
            ],
            [
                0.9999989322972572,
                0.9999984465020603,
                0.9999962733611603,
                0.999999352405279,
                0.9999974387187053,
                0.9999992661788445,
                0.9999996072139402,
                0.9999962733598274,
                0.9999994284995529,
                0.9999921107392957
            ],
            [
                0.9999996072139402,
                0.9999995549147889,
                0.999999057755743,
                0.9999977396765106,
                0.9999980052707541,
                0.9999987901338838,
                0.9999996533674614,
                0.9999992661786696,
                0.9999993524049702,
                0.9999993524052018
            ],
            [
                0.9999998555019618,
                0.9999998144608319,
                0.9999993524050474,
                0.9999997617630899,
                0.9999998144608538,
                0.9999996533674615,
                0.9999997897566589,
                0.9999996533672549,
                0.9999987901341723,
                0.9999996533674615
            ],
            [
                0.9999996940977002,
                0.9999995549147889,
                0.999999057755743,
                0.9999998724808963,
                0.9999992661792819,
                0.9999999123575568,
                0.9999996533672962,
                0.9999996940977366,
                0.9999995549150542,
                0.9999995549150011
            ],
            [
                0.9999977396759716,
                0.9999996072136592,
                0.9999980052698029,
                0.9999910603058276,
                0.9999993524052789,
                0.9999938558232012,
                0.9999994284994167,
                0.9999990577554061,
                0.9999992661786695,
                0.9999989322968753
            ],
            [
                0.9999251537995921,
                0.00029595713257769086,
                0.9980732651625023,
                0.9999724643056213,
                0.9978172837255456,
                0.994779874253243,
                0.9984988180997629,
                0.9998911031298644,
                0.9999599363030427,
                0.9998204720769719
            ],
            [
                0.9999994956523512,
                0.9999998724809419,
                0.9999992661790196,
                0.9999998144609203,
                0.999999653367379,
                0.9999994956527721,
                0.999999887464811,
                0.9999998144608319,
                0.9999994956523514,
                0.9999996072137529
            ],
            [
                0.9999996940977002,
                0.9999996533672962,
                0.9999998724809115,
                0.9999996940978825,
                0.999999653367379,
                0.999999352405279,
                0.9999999468421439,
                0.9999989322966208,
                0.999999730042126,
                0.9999997617630616
            ],
            [
                0.9999995549150011,
                0.9999991684721706,
                0.9999989322966208,
                0.9999992661791944,
                0.9999982396565769,
                0.9999986290429566,
                0.9999910603015656,
                0.9999997300422547,
                0.9999996072136125,
                0.9999996072139402
            ],
            [
                0.999999814460876,
                0.9999998144608538,
                0.999998790134028,
                0.9999997300422225,
                0.9999997897565838,
                0.9999997897565838,
                0.9999991684716749,
                0.999999554914895,
                0.9999999006881496,
                0.9999998362622357
            ],
            [
                0.9999997617631469,
                0.9999996940978461,
                0.9999982396561572,
                0.9999996072138465,
                0.9999992661788446,
                0.9999977396754327,
                0.9999994284997573,
                0.9999997300421581,
                0.9999962733589389,
                0.9999997300421581
            ],
            [
                0.9999999123574419,
                0.9999999226557592,
                0.9999998362623723,
                0.9999999123575359,
                0.9999998724809115,
                0.9999998144608317,
                0.9999996940976272,
                0.9999991684718732,
                0.999999057755069,
                0.9999997300422547
            ],
            [
                0.9999998555020307,
                0.9999998555019618,
                0.99999976176309,
                0.9999998874648915,
                0.999999266179107,
                0.9999999226557592,
                0.9999984465016899,
                0.9999995549149481,
                0.9999997617630332,
                0.9999993524049703
            ],
            [
                2.7535681246690542e-05,
                2.1444950969026795e-05,
                2.5612831265630198e-06,
                2.1444940742640888e-05,
                2.4300240730549767e-05,
                3.726639283901856e-06,
                4.2228329408924035e-06,
                1.892515049571424e-05,
                1.1478765388105516e-05,
                2.260325375650449e-06
            ],
            [
                0.9999832985801483,
                0.9999977396746244,
                0.9999810748495058,
                0.9999987901341723,
                0.9999992661786696,
                0.999988521229139,
                0.9999952149037942,
                0.9999785550464746,
                0.9999938558268638,
                0.9999485577924884
            ]
        ]
    },
    {
        "q_id": "10739_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            32,
            33,
            34,
            35,
            36,
            38,
            40,
            41,
            42,
            43,
            44,
            45,
            47,
            48,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            63,
            65,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            75,
            77,
            78,
            79,
            81,
            82,
            83,
            84,
            88,
            89,
            91,
            92,
            93,
            94,
            95,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            46
        ],
        "rewards": [
            [
                0.9999810748540218,
                0.9999832985841328,
                0.9999957771665556,
                0.9999938558268633,
                0.9999885212332451,
                0.9999986290424663,
                0.9999977396765105,
                0.9999980052709919,
                0.99999457778297,
                0.9999910603036973
            ],
            [
                0.9999832985802071,
                0.999903897596799,
                NaN,
                0.9999938558261378,
                0.9999599362986991,
                0.9999646437578507,
                0.9999810748586997,
                0.8175744806385543,
                0.9999251537374746,
                0.9999485577620525
            ],
            [
                0.9999898700066077,
                0.9999810748517663,
                0.9999785550413672,
                0.9999724643023473,
                0.9999898700114371,
                0.9999910603047626,
                0.9999945777803851,
                0.999996711250935,
                0.9999962733593833,
                0.9999921107383591
            ],
            [
                0.9999546021101122,
                0.9999832985821686,
                0.9999485577622386,
                0.9999687980999741,
                0.9988304894671808,
                0.9999832985821582,
                0.9999832985762298,
                0.9999151889865167,
                0.9999938558268655,
                0.9999869928715626
            ],
            [
                0.9999869928653997,
                0.9999952149060841,
                0.9999687980813304,
                0.9999832985703648,
                0.9999962733602756,
                0.9999910603058321,
                0.9999952149037958,
                0.9999962733593845,
                0.999959936312908,
                0.9999957771670621
            ],
            [
                1.0129995807165349e-05,
                2.144495862967221e-05,
                1.067702997240607e-06,
                5.144221356106128e-05,
                7.889262585441413e-06,
                NaN,
                8.3152822584917e-07,
                1.4738978451920916e-05,
                4.0063696869729076e-05,
                2.2603245665981198e-06
            ],
            [
                6.962257079173776e-06,
                3.2887506333812835e-06,
                2.753569764776963e-05,
                1.1478765387667046e-05,
                6.144173868178388e-06,
                1.8925157259824262e-05,
                3.2887498492936755e-06,
                9.422447061782138e-07,
                3.2887486729876365e-06,
                1.6701425824733193e-05
            ],
            [
                1.3007134661628471e-05,
                6.605215233698097e-05,
                2.4300240728958537e-05,
                5.8291265441454815e-05,
                2.7535681213433616e-05,
                5.829128615365693e-05,
                8.481108148371828e-05,
                3.1201915071864306e-05,
                1.0129994598482479e-05,
                2.4300246517938825e-05
            ],
            [
                3.120190763922401e-05,
                1.0129989768027317e-05,
                7.889263523453522e-06,
                3.120191136774608e-05,
                4.006369693473136e-05,
                1.0129987351621326e-05,
                8.939696303010449e-06,
                1.3007123801954964e-05,
                6.144177530794679e-06,
                1.0129993393319151e-05
            ],
            [
                2.9023130228840374e-06,
                1.4738983726184394e-05,
                5.144220127670351e-05,
                2.5612815996930587e-06,
                6.962253759670401e-06,
                2.753570421481532e-05,
                4.785095634460739e-06,
                1.4738987238035806e-05,
                5.422219615069953e-06,
                2.4300249417247375e-05
            ],
            [
                5.144220749261362e-05,
                9.610243735692595e-05,
                5.829128633093081e-05,
                3.120191877064807e-05,
                6.14417753110761e-06,
                4.539787402650773e-05,
                4.006371125884805e-05,
                6.605216024989748e-05,
                4.539785780557527e-05,
                1.670142184171555e-05
            ],
            [
                5.422220908481809e-06,
                2.430024939320213e-05,
                4.006367784344724e-05,
                1.4738978453315019e-05,
                1.670141784666869e-05,
                1.4738983722270186e-05,
                3.5356267564055315e-05,
                1.8925154978407626e-05,
                1.4738980205754734e-05,
                8.481108155405963e-05
            ],
            [
                0.9999869928746923,
                0.9995694428946515,
                0.9995694429749898,
                0.9999957771670723,
                0.9998415638040646,
                0.9999810748563482,
                0.9999832985781935,
                0.9796676462863219,
                NaN,
                0.9971990734718417
            ],
            [
                0.9999930377445848,
                0.9999910603069019,
                0.9999967112501513,
                0.9999898700041988,
                0.999995214904949,
                0.9999957771665597,
                0.9999869928731012,
                0.9999910603026378,
                0.9999945777790985,
                0.999983298580171
            ],
            [
                0.999988521229141,
                0.9998601779596922,
                0.9999957771660523,
                0.9999785550515947,
                0.9999921107374148,
                0.9999974387168746,
                0.9999970976869778,
                0.9999990577554064,
                0.9999952149072168,
                0.9999974387177893
            ],
            [
                0.9999646437577798,
                0.9999832985741958,
                0.7981867873410141,
                0.8670357512127873,
                0.9997965730292966,
                0.9999546021164394,
                0.9999038976198575,
                0.7772998508568416,
                0.8807970670261976,
                0.0021827164291181728
            ],
            [
                0.9999756997563948,
                0.9999546021100137,
                0.9999810748562966,
                0.9978172835024242,
                0.9999974387168762,
                0.9999251537736046,
                0.9998766053843317,
                0.9998766054114423,
                0.9999977396746244,
                0.9999921107365122
            ],
            [
                6.605213607287931e-05,
                4.0063711089200766e-05,
                6.1441767989541075e-06,
                2.1444953520182517e-05,
                2.7535697653779924e-05,
                5.829124397945144e-05,
                2.4300249410794055e-05,
                1.89251482372248e-05,
                1.30071315640992e-05,
                5.422218323019487e-06
            ],
            [
                5.1442195225848094e-05,
                8.939695236983711e-06,
                3.120192623836512e-05,
                5.144222574736265e-05,
                6.605216823009351e-05,
                4.5397884797196873e-05,
                0.0001398220734725614,
                5.8291286228722664e-05,
                0.00010889690874312075,
                6.605216024316963e-05
            ],
            [
                0.9999251537643246,
                0.9999962733607205,
                0.9999952149060803,
                0.9999910603037274,
                0.999994577780404,
                0.9999938558268693,
                0.9999984465015064,
                0.9999785550592998,
                0.9999756997506508,
                0.9998204720152111
            ],
            [
                0.9999756997478301,
                0.9999646437499209,
                0.9999546021098021,
                0.9999898700041907,
                0.99998329857418,
                0.9999546021477626,
                0.999983298576253,
                0.9999898700114471,
                0.9999852610145198,
                0.999933947824847
            ],
            [
                0.9933071491221513,
                0.9975273765740283,
                0.999195914241241,
                0.001169510516908441,
                0.9999785550465066,
                0.9999785550592668,
                0.9996200154733421,
                0.999972464308945,
                0.9998911030532656,
                0.9999810748585751
            ],
            [
                3.7266388396975786e-06,
                4.0063692172075196e-05,
                4.539785773786421e-05,
                8.93970056424046e-06,
                4.5397884834850856e-05,
                4.0063711278232147e-05,
                2.7535684529910724e-05,
                0.00010889696098363736,
                1.8925145980732218e-05,
                1.3007130006521673e-05
            ],
            [
                0.9999952149055056,
                0.9999930377412743,
                0.9999687980737751,
                0.9999785550515924,
                0.9999967112513267,
                0.999985261016286,
                0.9890130575616861,
                0.999991060303705,
                0.9999980052705167,
                0.9999962733620489
            ],
            [
                5.829129326115268e-05,
                4.5397890204837524e-05,
                7.484621827634963e-05,
                1.892514597563747e-05,
                4.785096773196046e-06,
                1.1478768119146135e-05,
                2.4300249405489955e-05,
                5.829129322807287e-05,
                2.144495863482118e-05,
                3.535626755260807e-05
            ],
            [
                NaN,
                NaN,
                0.9999485577988464,
                0.9999938558246726,
                0.9999898700041926,
                0.9999921107355423,
                0.9997040429776681,
                0.9999810748565348,
                NaN,
                0.9999417087416941
            ],
            [
                3.5356246402852425e-05,
                1.01299933928585e-05,
                2.1444958590898943e-05,
                1.0129995806317745e-05,
                1.4738980208864656e-05,
                6.962254588433232e-06,
                6.96225873895455e-06,
                9.610242592969113e-05,
                1.8925150491445666e-05,
                2.4300237825230942e-05
            ],
            [
                0.9999930377412743,
                0.9999910603026462,
                0.9999921107402536,
                0.9999756997680005,
                0.999989870010308,
                0.9999938558254085,
                NaN,
                0.999993855822469,
                0.999995214903799,
                0.999986992874646
            ],
            [
                0.9999921107402883,
                0.9999898700102708,
                0.9999952149055094,
                0.9999974387187069,
                0.9999810748540596,
                0.9999785550439543,
                0.9999869928684884,
                0.9999989322967486,
                0.9999986290428122,
                0.9999930377404371
            ],
            [
                0.99997569976797,
                0.9995694428816001,
                0.9999038975641114,
                0.9999756997478172,
                0.9998911031300071,
                0.9998911030545444,
                0.9997040428704534,
                0.14804719991116141,
                0.9999038975978253,
                0.5312093733737563
            ],
            [
                0.9999910603058737,
                0.9999962733602751,
                0.9999910603047645,
                0.9999970976880166,
                0.9999930377429238,
                0.9999982396567891,
                0.9999938558261485,
                0.9999994284996891,
                0.9999957771655489,
                0.9999921107355373
            ],
            [
                0.9999977396759716,
                0.999998629042468,
                0.9999994956523514,
                0.9999980052705176,
                0.9999984465018759,
                0.9999869928716159,
                0.9999980052705171,
                0.999997097688015,
                0.9999952149032248,
                0.9999977396754329
            ],
            [
                0.9999977396748939,
                0.9999485578048678,
                0.9999986290426298,
                0.9999756997680727,
                0.9999974387168734,
                0.9999992661792819,
                0.999999168471675,
                0.9999962733589396,
                0.9999991684721706,
                0.9999977396762411
            ],
            [
                2.9023123309973302e-06,
                1.1478773597118638e-05,
                1.9947290073086266e-06,
                2.4300252294986265e-05,
                1.3007123810638006e-05,
                4.785093923116048e-06,
                2.144494072961245e-05,
                3.535626755428014e-05,
                4.5397879408714157e-05,
                6.605212100345552e-05
            ],
            [
                0.0001584362730899713,
                0.0008040859673368059,
                6.962257077590752e-06,
                1.8925141469400216e-05,
                3.120190019784534e-05,
                1.892514818531342e-05,
                0.00012339453072046804,
                6.962259568078904e-06,
                5.144220747202866e-05,
                3.1201922517673344e-05
            ],
            [
                5.14422074608005e-05,
                3.1201922495312196e-05,
                1.4738976698757546e-05,
                1.1478768122987964e-05,
                1.892514147046736e-05,
                3.5356250694926364e-05,
                6.60521759752961e-05,
                1.3007130012010681e-05,
                4.7850956352353935e-06,
                5.8291265401165313e-05
            ],
            [
                1.3007123790882312e-05,
                1.0129992184268048e-05,
                9.610244915612066e-05,
                0.0002959572268071893,
                0.00013982205680883731,
                4.7850956327286435e-06,
                4.006369208491967e-05,
                7.889263524960312e-06,
                4.539787944306515e-05,
                1.89251527371985e-05
            ],
            [
                1.1478765385432939e-05,
                1.8925157258585e-05,
                4.7850956351657615e-06,
                2.4300246516082393e-05,
                NaN,
                2.1444940742640888e-05,
                3.5356263314938686e-05,
                1.1478764017428212e-05,
                6.96225707894582e-06,
                5.144223201604811e-05
            ],
            [
                3.7266397280485686e-06,
                1.6701423828576233e-05,
                8.481108154418716e-05,
                5.829125150595281e-05,
                8.481105136527973e-05,
                3.535624225316214e-05,
                3.120191507912884e-05,
                0.00012339460398020272,
                4.5397857775848465e-05,
                2.430024651882284e-05
            ],
            [
                0.9999687980774823,
                0.9999974387177929,
                0.9999810748495118,
                0.9999485577864191,
                0.9999546021097719,
                0.9999646437451318,
                0.9998601779432156,
                0.9999724642990738,
                0.9999417087276669,
                0.9999151889689875
            ],
            [
                4.222832436779288e-06,
                0.0001233945301513246,
                2.753569437266178e-05,
                6.144173869240119e-06,
                2.1444953517061932e-05,
                6.144176066443055e-06,
                2.753569765908901e-05,
                2.4300249415479343e-05,
                4.006368738595465e-05,
                6.9622545872301346e-06
            ],
            [
                0.00010889691883946615,
                8.939693094702413e-06,
                2.7535697660090726e-05,
                1.6701429803316423e-05,
                8.939700566289352e-06,
                4.006368737181739e-05,
                1.1478766754377407e-05,
                4.539788476879124e-05,
                4.539785772035843e-05,
                0.0003353502231649008
            ],
            [
                0.9999687980776268,
                0.9999930377420989,
                0.9999945777829747,
                0.9999898700126476,
                0.9999852610163963,
                0.9999724643122713,
                0.9999546021099508,
                0.999954602147785,
                0.9999756997622447,
                0.9999339478712879
            ],
            [
                8.93969736929749e-06,
                4.539785774116719e-05,
                1.0129988561077228e-05,
                6.144174601309452e-06,
                5.422220262037209e-06,
                3.5356267537559426e-05,
                1.670142781636389e-05,
                1.8925141468298646e-05,
                1.0129995808178788e-05,
                1.8925155006118952e-05
            ],
            [
                0.999997097688707,
                0.9999945777829696,
                0.9999984465018757,
                0.9999974387187056,
                NaN,
                0.999999428499553,
                0.9999957771670605,
                0.9999832985782489,
                0.9999852610145235,
                0.9999952149066486
            ],
            [
                0.999968798100341,
                0.9999251537550304,
                0.9999962733620495,
                0.9999869928746686,
                0.9999945777816874,
                0.9999910603015811,
                0.9999898700066094,
                0.9999724643023485,
                0.9999898700126524,
                0.9999646437493199
            ],
            [
                5.1442195232584995e-05,
                0.00012339458932609783,
                1.6701423828576233e-05,
                4.006371125884805e-05,
                6.605212880295596e-05,
                9.61023802445372e-05,
                7.484625379052658e-05,
                9.610239168574998e-05,
                6.60521445946645e-05,
                4.006369691549301e-05
            ],
            [
                0.9999646437451684,
                0.9999832985802084,
                0.9999832985761771,
                0.9999952149055068,
                0.9999869928653798,
                0.9999945777829767,
                0.9999930377437783,
                0.999992110740252,
                0.9999957771680682,
                0.9999970976883729
            ],
            [
                0.9992903295261433,
                0.999290329581168,
                0.9999687980887086,
                0.9999646437451416,
                0.9999339478243866,
                0.999820472082815,
                0.9998911031301132,
                0.9998766053826387,
                0.999968798092956,
                0.9999952149049364
            ],
            [
                4.006371127619171e-05,
                3.5356242266024216e-05,
                1.6701427811412077e-05,
                2.4300243624818735e-05,
                2.1444945849006956e-05,
                1.2098662603356388e-06,
                3.535623804803683e-05,
                2.9023112930659533e-06,
                7.88925976359915e-06,
                1.4738981968864903e-05
            ],
            [
                1.01299933928585e-05,
                2.4300240719941574e-05,
                1.1478773598329648e-05,
                1.8925152744771773e-05,
                5.1442213585014685e-05,
                4.539786856370925e-05,
                4.785092782396909e-06,
                5.422220261070644e-06,
                9.610241425215485e-05,
                4.539785780309804e-05
            ],
            [
                4.53978577239917e-05,
                5.422221553654169e-06,
                1.670142979875954e-05,
                5.144223195990727e-05,
                1.8925150493717652e-05,
                1.4738980212296288e-05,
                1.012999217990105e-05,
                3.5356259128846735e-05,
                6.1441724019276964e-06,
                0.00015843619535451032
            ],
            [
                2.4300234928664224e-05,
                0.0005527785354967555,
                8.3152773023541e-07,
                4.222831934052698e-06,
                2.4300252313020203e-05,
                5.1442213585014685e-05,
                1.1478764016112805e-05,
                2.430024362393472e-05,
                0.00010889689582797596,
                1.1478764018827141e-05
            ],
            [
                1.0129995800347667e-05,
                4.785093923603471e-06,
                1.892515500715167e-05,
                1.0129993391808207e-05,
                2.1444950958338794e-05,
                1.1478773597640625e-05,
                1.892515499555078e-05,
                1.0129988562901417e-05,
                6.962257078249291e-06,
                7.889263524257144e-06
            ],
            [
                0.9999687980812043,
                0.9999724642958473,
                0.9999785550567776,
                0.9999339478238921,
                0.9999339478712158,
                0.9998911031044335,
                0.9999546021481189,
                0.9999885212264333,
                0.9999810748472645,
                0.9999599362937484
            ],
            [
                0.9999984465024307,
                0.9999910602994608,
                0.9999724643089193,
                0.9999974387184019,
                0.999997097687323,
                0.9999957771680672,
                0.9999974387165681,
                0.9999962733616046,
                0.9999952149037942,
                0.9999982396569966
            ],
            [
                0.9999977396762513,
                0.9999921107336547,
                0.9999251537998807,
                0.9999599362887714,
                0.9999852610163946,
                0.9999724643089261,
                0.9999852610233181,
                0.999986992871629,
                0.999860177964471,
                0.9999945777804007
            ],
            [
                0.999998239656577,
                0.999992110737415,
                0.9999599363173941,
                0.999981074856314,
                0.9999962733598279,
                0.9999832985721941,
                0.999996273359392,
                0.999985261021573,
                0.9999970976890529,
                0.999995214905508
            ],
            [
                3.2887506332466845e-06,
                2.753568451218037e-05,
                5.829129319796175e-05,
                2.902311984952413e-06,
                0.00017952798452253738,
                2.1444945850567248e-05,
                4.0063711244273545e-05,
                1.9947297214182054e-06,
                4.7850950646797465e-06,
                6.96225707894582e-06
            ],
            [
                0.9999756997477526,
                0.9999974387184019,
                0.9999921107355476,
                0.9999810748450626,
                0.999941708755929,
                0.9999952149049587,
                0.9999962733589416,
                0.9999885212346314,
                0.9999869928731105,
                0.9999994284996894
            ],
            [
                2.7535697636951104e-05,
                5.8291244621538684e-05,
                4.222834954211514e-06,
                1.6701423827421826e-05,
                8.939693102572767e-06,
                4.222832436871463e-06,
                6.144175327053188e-06,
                3.120191137126484e-05,
                1.892514823426434e-05,
                2.4300237765029454e-05
            ],
            [
                6.144176796042727e-06,
                3.2887478886821466e-06,
                1.147876675686207e-05,
                1.7603440524340693e-06,
                1.5534977544932838e-06,
                4.222834450950777e-06,
                5.829127238482131e-05,
                1.3709568795826994e-06,
                7.484621815546239e-05,
                2.90231198483099e-06
            ],
            [
                0.00048785722379797236,
                4.006370172318498e-05,
                7.889262584666493e-06,
                0.00017952790092527285,
                5.8291244647832884e-05,
                5.144219520863158e-05,
                2.1444945853375776e-05,
                2.260325106045111e-06,
                1.012998976360504e-05,
                6.9622545849505825e-06
            ],
            [
                0.9999957771670653,
                0.9999910603005178,
                0.9999810748564177,
                0.9999967112513359,
                NaN,
                0.9999938558276017,
                0.9999910603027659,
                0.9999785550417376,
                0.9999810748540621,
                0.9999599362987409
            ],
            [
                7.484622709131757e-05,
                6.144176061369096e-06,
                1.8925157257965367e-05,
                6.962259568648793e-06,
                1.0129990973134934e-05,
                4.5397873780435714e-05,
                1.892515723318008e-05,
                3.535623794449717e-05,
                3.120191130543e-05,
                1.3007128460419196e-05
            ],
            [
                0.9999885212332854,
                0.999997438717791,
                0.999993855826873,
                0.9999982396569973,
                0.9999962733616046,
                0.9999990577550693,
                0.9999810748495105,
                0.9999485577927372,
                0.999997097686979,
                0.9999417087138107
            ],
            [
                0.9998204719543042,
                0.999986992871557,
                0.9997694932590526,
                0.9999952149055091,
                0.9999982396572089,
                0.9975273762713833,
                0.9999151889387216,
                0.999997097688708,
                0.9996200154038184,
                0.999995214906083
            ],
            [
                8.939697368663308e-06,
                2.1444950955608285e-05,
                2.9023119850210436e-06,
                1.994729483630195e-06,
                2.9023123306594577e-06,
                8.939694172290508e-06,
                5.422218967491273e-06,
                6.962257908880483e-06,
                2.5612819051722694e-06,
                NaN
            ],
            [
                0.9999962733611611,
                0.9999967112513278,
                0.9999869928746464,
                0.9999990577557432,
                0.9999910602994398,
                0.9999986290424665,
                0.9999921107383624,
                0.9999945777810342,
                0.9999967112505479,
                0.9999980052693275
            ],
            [
                2.1444948400318094e-05,
                1.30071315602427e-05,
                3.2887486731641103e-06,
                3.120190388198478e-05,
                7.889266346603015e-06,
                1.8925152744083297e-05,
                8.93969630317306e-06,
                1.4738985478678359e-05,
                1.3007126910649678e-05,
                9.610244891560611e-05
            ],
            [
                6.962255419475714e-06,
                1.3709568798956654e-06,
                8.481105137391814e-05,
                1.1478770854488583e-05,
                9.61024606427877e-05,
                4.539787939583253e-05,
                1.300712380997554e-05,
                0.00012339458916451132,
                1.8925143723000643e-05,
                2.7535687791694597e-05
            ],
            [
                0.9999952149072192,
                0.9999962733611635,
                0.9999957771675625,
                0.9999980052710106,
                0.9999994956527726,
                0.9999957771675642,
                0.999998446502801,
                0.9999945777816874,
                0.9999962733607193,
                0.9999756997505811
            ],
            [
                0.9999785550465441,
                0.9999038975514479,
                0.9999930377412641,
                0.999997097686978,
                0.9999970976869796,
                0.9999785550595156,
                0.9999921107393107,
                0.9999852610217936,
                0.9999967112501582,
                0.9990889490183744
            ],
            [
                0.9933071479179073,
                0.9999910603068946,
                0.9999724643190203,
                0.9999869928715541,
                0.9999756997652507,
                0.9999921107392964,
                0.9999151889894685,
                0.999997097688364,
                0.9999038975524533,
                0.9525741239613983
            ],
            [
                9.610241430948678e-05,
                5.82912653460323e-05,
                2.43002523073625e-05,
                0.00023050681300155568,
                2.4300232020075242e-05,
                7.889261643899223e-06,
                0.00012339455919200664,
                4.539789014439297e-05,
                7.48462537322611e-05,
                4.006368737910463e-05
            ],
            [
                1.6701429804744246e-05,
                5.8291244647832884e-05,
                7.484621826927065e-05,
                3.2887486732000038e-06,
                6.605216036763493e-05,
                1.3007123800819306e-05,
                4.539789020847081e-05,
                1.3007130013288297e-05,
                5.829126551991333e-05,
                0.00010889692191970729
            ],
            [
                1.6701419844465412e-05,
                4.785096775998733e-06,
                2.4300249409733237e-05,
                1.4738983721733992e-05,
                1.1478770862067849e-05,
                2.7535681233968765e-05,
                2.2603242978007868e-06,
                4.0063706492255065e-05,
                1.6701429804744246e-05,
                2.260324567177841e-06
            ],
            [
                1.892514822937613e-05,
                0.00012339458918246535,
                3.535625067589049e-05,
                0.00010889693501231766,
                1.8925143714394646e-05,
                0.0001398220728968278,
                6.605215246769354e-05,
                5.829129327472389e-05,
                8.481104123982985e-05,
                5.8291272448012225e-05
            ],
            [
                0.9999724643090481,
                0.999704042770334,
                0.9996200154370382,
                0.9998601778605603,
                NaN,
                0.9999687980737909,
                0.9999852610180429,
                NaN,
                0.9998415637878176,
                0.9998601779130374
            ],
            [
                4.539788476879124e-05,
                5.4222215541571775e-06,
                6.962258738283349e-06,
                2.144494329192304e-05,
                1.4738981964843453e-05,
                3.1201900186835035e-05,
                6.962253756890615e-06,
                5.1442219658328595e-05,
                4.006368261266023e-05,
                1.0129994600638342e-05
            ],
            [
                5.4222176755001384e-06,
                9.610246057636654e-05,
                4.785092782396909e-06,
                5.4222215529144515e-06,
                NaN,
                3.5356259114569826e-05,
                2.753570420569971e-05,
                7.484620927188383e-05,
                0.00012339454481799031,
                6.96225707894582e-06
            ],
            [
                0.999998446502246,
                0.9999952149055155,
                0.9999989322968761,
                0.9999756997653837,
                0.9324533088603708,
                0.9999921107346041,
                0.999991060300512,
                0.9999945777816845,
                0.9999785550414021,
                0.9999945777829718
            ],
            [
                0.9999599362982748,
                0.9999938558224688,
                0.9999980052695652,
                0.9999921107402364,
                0.999997097686977,
                0.9999898700078323,
                0.9999977396746245,
                0.9999945777816769,
                0.9999970976873236,
                0.9999832985761744
            ],
            [
                0.9999938558254045,
                0.9999910603068987,
                0.9999910603026323,
                0.9998766054423663,
                0.9999869928684816,
                0.9999910603047645,
                0.9999921107393127,
                0.9999921107393255,
                0.9993736658720219,
                0.9999339478634293
            ],
            [
                1.0129993394314164e-05,
                2.5612815998141903e-06,
                1.3007131559390956e-05,
                1.4738983719589221e-05,
                4.006368735403649e-05,
                1.8925155006118952e-05,
                5.1442207475397105e-05,
                1.4738978454172926e-05,
                2.4300246514137558e-05,
                2.9023112926779284e-06
            ],
            [
                0.00037998449374774005,
                3.1201922514835635e-05,
                4.785096205830278e-06,
                6.144173135762683e-06,
                NaN,
                5.1442231976000976e-05,
                6.144174599532449e-06,
                2.430024651882284e-05,
                7.88926634687567e-06,
                2.7535687803514833e-05
            ],
            [
                1.892515498859713e-05,
                2.4300249404340734e-05,
                0.00026119021095267553,
                8.481103110512576e-05,
                0.00013982209042924033,
                2.7535700931292276e-05,
                7.484622717680992e-05,
                NaN,
                2.430023493228869e-05,
                9.610243744921641e-05
            ],
            [
                0.9998766053968923,
                0.9999852610215536,
                0.999968798100192,
                0.9999910603026524,
                0.9999852610111472,
                0.9999980052693284,
                0.9999646437535344,
                0.9999869928715508,
                NaN,
                0.9999485577987592
            ],
            [
                0.99997246430567,
                0.9999977396765112,
                0.9999930377446005,
                0.9999967112493673,
                0.9999852610180403,
                0.9999832985721898,
                0.9996646499790622,
                0.9999832985782764,
                0.9999756997534994,
                0.9999910603005017
            ],
            [
                1.5534975693488444e-06,
                3.120190391251851e-05,
                2.4300237801450912e-05,
                1.7603425833860538e-06,
                5.422219614004759e-06,
                2.4300246507772637e-05,
                1.3007134663876127e-05,
                8.93969630317306e-06,
                3.7266392836984955e-06,
                7.889265406567165e-06
            ],
            [
                0.9999986290426298,
                0.9999990577552939,
                0.9999989322966208,
                0.9999974387180947,
                0.9999982396565769,
                0.9999921107364748,
                0.999993855827606,
                0.9999687980737645,
                0.999997438717484,
                0.9999938558268634
            ],
            [
                6.605214462734262e-05,
                4.006368737910463e-05,
                5.8291272451829125e-05,
                2.4300249406550775e-05,
                5.1442238154113305e-05,
                5.8291265478351516e-05,
                NaN,
                8.939697366029015e-06,
                4.0063696941289896e-05,
                2.1444945844872185e-05
            ],
            [
                0.999986992876194,
                0.9999980052693274,
                0.999993855827596,
                0.9999869928730878,
                0.9999938558224687,
                0.9999869928746389,
                0.9999938558261325,
                0.9999987901341726,
                0.9999970976869771,
                0.9999952149066464
            ],
            [
                0.999996273359389,
                0.9999930377437526,
                0.9999938558261307,
                0.9999945777784518,
                0.9999599362936653,
                0.9999646437493915,
                0.9999869928700164,
                0.9999921107402511,
                0.9999724643056793,
                0.9999962733589407
            ],
            [
                0.9999832985781628,
                NaN,
                NaN,
                0.9933071486701728,
                0.9999339478478206,
                0.9999967112493665,
                0.9998601779763111,
                0.9997388097724497,
                0.9999898700114829,
                0.9999869928668935
            ],
            [
                0.9999910603026518,
                0.9999910603047875,
                0.999941708727812,
                0.9999945777816819,
                0.9999852610128057,
                0.9999485577804801,
                0.9999952149066468,
                0.999996273359833,
                0.9999785550465355,
                0.9999885212264255
            ],
            [
                7.8892625849535e-06,
                2.7535684434948163e-05,
                4.7850950646797465e-06,
                4.006368260129212e-05,
                4.222832939870796e-06,
                1.6701415837388878e-05,
                1.1478766756444477e-05,
                1.0129987353537646e-05,
                2.430024651882284e-05,
                4.2228339475595195e-06
            ],
            [
                0.0005527785969510015,
                2.2603242976733308e-06,
                8.939696303010449e-06,
                0.00013982207367803525,
                1.4738980211116665e-05,
                2.430024941371131e-05,
                4.5397874009662535e-05,
                5.829127933751884e-05,
                4.539787943513799e-05,
                0.00015843623530106279
            ],
            [
                2.430023493564795e-05,
                3.120192249712832e-05,
                2.2603240281236263e-06,
                0.00010889692197833329,
                3.1201918779615236e-05,
                3.5356254907513187e-05,
                3.120191507333991e-05,
                2.4300249418927004e-05,
                5.4222209070122355e-06,
                6.144173136556186e-06
            ],
            [
                9.422450431654909e-07,
                6.475947209918244e-07,
                1.012998856015592e-05,
                6.962257078819179e-06,
                1.1478773595970265e-05,
                2.7535700934898458e-05,
                3.7266397281434697e-06,
                3.1201903922734266e-05,
                1.0677028699742299e-06,
                1.6701425818232042e-05
            ],
            [
                0.9999646437535449,
                0.9999977396762412,
                0.999997097687323,
                0.9999910603036988,
                0.9999810748450142,
                0.999997438718095,
                0.9706877696196289,
                0.9999957771650526,
                0.9999869928653401,
                0.9999869928731032
            ],
            [
                3.726638395415398e-06,
                1.0129992183070348e-05,
                7.889262584809997e-06,
                2.144494073796001e-05,
                3.535626747993731e-05,
                1.2098659718847284e-06,
                3.7266410608245674e-06,
                2.5612834317116285e-06,
                1.892515500388139e-05,
                2.561282515886208e-06
            ],
            [
                4.539786317820113e-05,
                1.473898196677375e-05,
                NaN,
                1.6701429803316423e-05,
                1.4738988990369329e-05,
                1.4738987241172537e-05,
                6.962254573451508e-06,
                3.5356254919217684e-05,
                4.539785776693042e-05,
                4.785095064523075e-06
            ],
            [
                1.4738980207899506e-05,
                2.4300252313904224e-05,
                3.726639727994339e-06,
                1.8925141469950998e-05,
                3.5356267537559426e-05,
                4.2228334438149845e-06,
                6.962258738827909e-06,
                8.939698434495167e-06,
                1.1478768119146135e-05,
                5.8291265247216994e-05
            ],
            [
                1.473898899742027e-05,
                1.5534979395289518e-06,
                4.785092782936557e-06,
                2.260323489410794e-06,
                4.222833444037741e-06,
                2.753569436294514e-05,
                1.3007126898133793e-05,
                6.144176796780352e-06,
                1.3007128460040644e-05,
                7.484619977842486e-05
            ],
            [
                0.9999885212359894,
                0.9999945777816839,
                0.9999852610233064,
                0.999983298580277,
                0.9999546021476413,
                0.9999485577805464,
                0.9999785550414317,
                0.9999930377462481,
                0.9999869928684505,
                0.9999938558239349
            ],
            [
                4.006369691782494e-05,
                4.222833947198501e-06,
                1.3007130012010681e-05,
                4.006371126992468e-05,
                1.3007134664822509e-05,
                2.902312330849511e-06,
                1.6701421842961097e-05,
                1.1478772227964558e-05,
                1.892515500663531e-05,
                2.1444953522913026e-05
            ]
        ]
    },
    {
        "q_id": "10558_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            79,
            80,
            82,
            83,
            85,
            86,
            87,
            88,
            89,
            92,
            93,
            94,
            95,
            96,
            98,
            99,
            100,
            101,
            103,
            104,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            115,
            117,
            119,
            120,
            122,
            123,
            124,
            125,
            126,
            127,
            77,
            78,
            81,
            84,
            90,
            91,
            97,
            102,
            105,
            114,
            116,
            118,
            121
        ],
        "rewards": [
            [
                0.8933094131553264,
                0.9525741259809524,
                1.3007134655902864e-05,
                8.939699495221176e-06,
                1.1478768117893363e-05,
                1.0129987346793673e-05,
                0.9770226279155795,
                7.889266340992015e-06,
                6.144176796947993e-06,
                0.7981867777396211
            ],
            [
                0.8354835391516133,
                0.7057850216484838,
                0.9820137917815741,
                0.9241418278134569,
                0.9324533116759811,
                0.9626731150654055,
                2.260324027535682e-06,
                0.9626731107817876,
                0.8670357615200475,
                0.9740426430847692
            ],
            [
                0.6791786926816161,
                4.222832421700984e-06,
                0.9579122737364724,
                5.422219615069953e-06,
                0.6513548782017745,
                0.9525741239613982,
                0.8519527982093666,
                1.1478768089330182e-05,
                7.8892663403606e-06,
                0.5
            ],
            [
                0.6513548714339145,
                2.430024059706333e-05,
                0.5621765008857981,
                0.9149009602137116,
                1.3007128452280321e-05,
                0.7057850216484838,
                0.9465966658688456,
                1.3007128432311684e-05,
                5.422220905690605e-06,
                2.4300246482312968e-05
            ],
            [
                1.3007129993461614e-05,
                1.3007126902392506e-05,
                1.670142182986766e-05,
                6.1441738667590205e-06,
                0.9399133544545811,
                0.8670357546485407,
                1.0129992179495674e-05,
                0.9399133508779444,
                1.4738980193475914e-05,
                1.892514819756836e-05
            ],
            [
                1.0129990971550284e-05,
                0.9770226275810571,
                0.880797071719777,
                0.9324533144915912,
                0.9465966709534506,
                0.8670357546485407,
                3.7266383944765502e-06,
                1.3007133094373822e-05,
                6.96225873459807e-06,
                6.962254585203866e-06
            ],
            [
                2.1444950953735936e-05,
                0.5926665999540698,
                0.9770226280410252,
                5.422217027754022e-06,
                0.9579122767402743,
                4.785093921349138e-06,
                0.9324533069832974,
                0.7549149868676283,
                8.939693103158165e-06,
                0.8519527982093666
            ],
            [
                0.9579122762897041,
                1.1478765359625861e-05,
                0.952574129515172,
                0.9770226311353565,
                1.6701423810652505e-05,
                0.9465966711417692,
                0.7981867825403176,
                0.9669140245907173,
                0.9241418278134569,
                5.422217675223978e-06
            ],
            [
                0.9324533097989077,
                0.5621765008857981,
                0.8519528038477825,
                0.9149009636941993,
                0.9840936077342083,
                0.817574478416099,
                0.8670357460591569,
                0.8519527963298947,
                0.9706877716865464,
                0.8354835289107309
            ],
            [
                0.9669140198236428,
                2.4300252147797512e-05,
                1.4738983704790289e-05,
                2.902311984783477e-06,
                0.9953904270023061,
                0.7772998611746912,
                0.9796676455442832,
                0.9465966730249561,
                5.422217670657454e-06,
                7.88926070097951e-06
            ],
            [
                1.3007130000322877e-05,
                0.992422758108838,
                0.8807970889295663,
                0.8354835411997897,
                0.9241418252018901,
                0.8933094067644466,
                0.9046505261034854,
                0.8175744806385543,
                0.8354835350552603,
                0.8175744739711883
            ],
            [
                0.95791227058248,
                2.753568119580344e-05,
                0.9740426401178266,
                0.880797076413356,
                0.8933094074745445,
                0.9669140228030645,
                0.9770226321389233,
                6.144173864389683e-06,
                2.43002347549551e-05,
                1.0129994592807221e-05
            ],
            [
                0.9046505447409665,
                0.7981867801399694,
                0.8933094167058151,
                0.7772998663336158,
                4.006368246604077e-05,
                1.4738976669079265e-05,
                0.974042641907411,
                1.6701421801918793e-05,
                4.785093352238557e-06,
                0.9706877682416838
            ],
            [
                0.9149009486120849,
                0.8670357494949105,
                0.7310585727705127,
                0.817574471748733,
                0.8175744828610095,
                0.9149009567332238,
                0.9947798743499678,
                0.9626731087738417,
                6.962259566204604e-06,
                0.9465966671870766
            ],
            [
                0.9046505402422645,
                0.970687770997574,
                0.9770226285428089,
                0.8354835411997897,
                0.7057850278370112,
                0.9740426401649208,
                0.9465966722716813,
                0.914900963114118,
                0.9820137867808721,
                0.9241418178895029
            ],
            [
                7.889265398889712e-06,
                6.962257906968191e-06,
                1.0129988556065312e-05,
                1.0129990962005534e-05,
                6.144172403067661e-06,
                5.422220258959982e-06,
                0.9947798738518349,
                6.962258736067116e-06,
                6.962254579656955e-06,
                0.9820137918802722
            ],
            [
                0.995390426726684,
                5.422217027576489e-06,
                0.9324533140223228,
                4.0063696863607786e-05,
                0.880797085800514,
                0.7310585844894971,
                0.9046505376715775,
                4.785095063208771e-06,
                4.785095064819011e-06,
                0.8933094010836643
            ],
            [
                7.8892625830162e-06,
                1.6701427775443088e-05,
                0.8670357494949105,
                0.18242551491653522,
                0.9149009480320036,
                0.9324533027598817,
                0.8670357494949105,
                0.9399133473013074,
                1.4738983719589221e-05,
                0.7549149813536518
            ],
            [
                0.962673113592912,
                0.9241418147556224,
                0.7549149813536518,
                5.422218963348853e-06,
                0.9465966702001758,
                0.9149009602137116,
                4.222835455690258e-06,
                0.5312093733737563,
                4.785092781709294e-06,
                1.147876810152382e-05
            ],
            [
                0.9046505318875316,
                0.9324533055754922,
                0.9399133439350608,
                5.422218315375735e-06,
                0.9324533158993962,
                2.561281293293745e-06,
                0.7057850340255386,
                0.9796676476219914,
                0.8670357494949105,
                1.3007134624388368e-05
            ],
            [
                0.9579122716338109,
                1.3007133099342324e-05,
                0.966914021492119,
                0.9770226292118533,
                0.9324533116759811,
                0.9914225140239762,
                0.5621765008857981,
                3.1201925987511544e-05,
                0.9399133451974033,
                1.4738981926023073e-05
            ],
            [
                8.939698426315848e-06,
                0.9399133451974033,
                4.00636915366269e-05,
                0.9579122731357119,
                0.8519528000888387,
                0.7772998714925403,
                3.2887490630676256e-06,
                0.7772998508568416,
                0.9740426436499009,
                0.7057850154599562
            ],
            [
                0.8175744673038222,
                0.8933094167058151,
                0.8670357615200475,
                0.9626731126558705,
                8.93969736518344e-06,
                1.4738978412349873e-05,
                0.37754066879814546,
                0.8354835452961427,
                0.9579122690805788,
                0.9399133517195061
            ],
            [
                0.0953494648991095,
                7.889266345584138e-06,
                2.4300249374107374e-05,
                0.9241418225903233,
                4.78509563128378e-06,
                2.9023123302212795e-06,
                0.9324533065140289,
                1.012999459934851e-05,
                8.939700563248534e-06,
                0.9525741273273217
            ],
            [
                1.012999097276641e-05,
                0.8807970779778824,
                0.6513548646660543,
                0.7057850154599563,
                0.7981867729389246,
                0.8807970654616711,
                0.8175744739711883,
                5.422217662747406e-06,
                0.8354835432479661,
                0.8670357494949105
            ],
            [
                0.9796676458039968,
                0.9465966715184065,
                0.92414182363495,
                0.970687770043612,
                1.892515045977559e-05,
                0.9324533135530545,
                6.14417459774427e-06,
                8.939696281903584e-06,
                0.7772998663336157,
                0.9465966651155708
            ],
            [
                0.9149009636941992,
                0.6513548646660543,
                0.7772998663336157,
                0.9525741251394715,
                0.7057850216484838,
                0.4687906266262437,
                2.144495601220346e-05,
                1.147876538330323e-05,
                0.7310585727705127,
                0.8807970779778824
            ],
            [
                0.9046505286741726,
                0.9324533032291501,
                0.9046505299595162,
                0.9525741281688025,
                6.962254587420098e-06,
                0.8354835309589074,
                0.9706877663867576,
                1.4738981947899752e-05,
                0.9890130569747282,
                1.3007131552056503e-05
            ],
            [
                1.0129992175920999e-05,
                0.8175744850834649,
                0.6224593312018546,
                0.9241418231126367,
                0.9324533074525657,
                0.9149009526726545,
                5.422218319715415e-06,
                0.9525741216052517,
                7.889265400583057e-06,
                0.914900957313305
            ],
            [
                0.9875683503130764,
                1.6701425798607075e-05,
                0.9149009567332238,
                1.8925154993072253e-05,
                7.889260694550543e-06,
                6.144174595777273e-06,
                0.9525741317030221,
                0.9626731142622272,
                1.6701417835367632e-05,
                0.9399133454077937
            ],
            [
                0.8670357701094303,
                0.9241418225903233,
                4.785092782858221e-06,
                0.9399133544545812,
                0.8670357649558006,
                0.9399133494052115,
                0.952574122783325,
                0.11920291263495984,
                0.9579122737364724,
                3.2887482798567817e-06
            ],
            [
                0.8670357718273068,
                0.9465966730249561,
                0.22270013882530884,
                0.4687906266262437,
                0.817574478416099,
                5.422220257717255e-06,
                0.9959298630674542,
                1.147876674819707e-05,
                0.9525741249711753,
                0.9579122725349515
            ],
            [
                0.9465966722716813,
                0.9046505357435624,
                1.473897664602297e-05,
                0.8175744828610095,
                0.9626731145299533,
                0.8933094145755219,
                0.9626731127897337,
                0.946596675473099,
                0.9324533046369553,
                0.7310585786300048
            ],
            [
                8.939695230560591e-06,
                0.9149009538328171,
                0.9953904271625514,
                0.9947798748553551,
                0.8807970795424088,
                0.3775406687981454,
                0.9626731125220075,
                0.99242275976864,
                0.9626731101124724,
                0.9149009532527358
            ],
            [
                3.5356250430996603e-05,
                0.7772998611746912,
                0.9241418131886822,
                0.9241418210233832,
                2.7535690810062104e-05,
                0.9241418168448761,
                0.7981867777396211,
                5.422221553368145e-06,
                0.679178699175393,
                0.9399133460389649
            ],
            [
                0.7057850216484838,
                0.9626731122542814,
                0.8354835371034369,
                0.6513548511303338,
                1.6701425732501913e-05,
                0.9149009636941993,
                0.992422759257393,
                5.4222215537823875e-06,
                0.8933094081846422,
                0.9626731168056251
            ],
            [
                6.962254584165403e-06,
                0.8670357683915538,
                5.422218313265074e-06,
                1.0129987341228975e-05,
                7.889260701467423e-06,
                0.9770226290445923,
                0.8933093996634686,
                0.9525741268224333,
                0.9796676452103659,
                1.3007134656423374e-05
            ],
            [
                0.9796676483640301,
                0.9820137860241868,
                0.7310585727705126,
                1.1478766747236611e-05,
                0.8519528000888387,
                0.7981867849406659,
                1.3007123793106307e-05,
                0.974042641766128,
                0.8670357563664174,
                0.9997388095887205
            ],
            [
                4.785094492070025e-06,
                5.4222176709138896e-06,
                1.0129990973503458e-05,
                0.5621765008857982,
                6.144175332115971e-06,
                0.9579122684798184,
                0.9241418163225626,
                0.9149009462917596,
                1.4738980203395485e-05,
                1.147877082129014e-05
            ],
            [
                0.8354835309589073,
                1.6701429791650804e-05,
                6.962258735839161e-06,
                0.7310585727705127,
                0.9626731157347207,
                0.5621765008857981,
                1.67014198374782e-05,
                0.9579122755387536,
                0.5312093733737563,
                1.6701417832451226e-05
            ],
            [
                1.8925145939216887e-05,
                6.962257076628275e-06,
                0.9046505331728752,
                0.8519528000888387,
                6.144177528838857e-06,
                0.6513548646660542,
                0.9706877724285167,
                0.6513548511303338,
                0.4073334000459302,
                0.6224593312018546
            ],
            [
                8.939694170062744e-06,
                7.889263524615903e-06,
                0.9324533079218341,
                0.6224593312018546,
                0.8807970670261976,
                0.7772998560157665,
                0.8354835371034368,
                1.0129989764010414e-05,
                0.7057850154599562,
                0.798186784940666
            ],
            [
                0.9525741226150288,
                0.8933094131553265,
                5.422220261544064e-06,
                2.4300234852727256e-05,
                1.3007131496977125e-05,
                1.8925157247225074e-05,
                0.5621765008857981,
                0.9525741281688026,
                1.4738988957983248e-05,
                0.9046505421702796
            ],
            [
                0.9149009636941993,
                2.4300231905241586e-05,
                0.9820137934923403,
                8.939699497042417e-06,
                0.8519528057272543,
                1.1478766746777263e-05,
                0.880797068590724,
                2.4300246463748625e-05,
                1.1478763998114665e-05,
                0.9770226297972674
            ],
            [
                0.9626731106479246,
                0.9820137873072619,
                0.8933094046341532,
                0.8354835391516133,
                6.144174600180663e-06,
                0.8933094025038598,
                2.7535687655261024e-05,
                0.9525741291785796,
                0.7772998714925403,
                1.4738985447418293e-05
            ],
            [
                0.9399133439350608,
                0.9579122734360922,
                0.9796676455442832,
                0.9902915251212814,
                0.9324533069832973,
                0.9968273171192243,
                0.9324533135530545,
                0.962673113592912,
                0.8807970654616711,
                7.889266343316778e-06
            ],
            [
                1.994729958743625e-06,
                0.46879062662624377,
                2.902310946332217e-06,
                2.561282821176841e-06,
                0.1329642281726931,
                1.3007134651738787e-05,
                6.962259562228048e-06,
                8.93969522776369e-06,
                1.3007133092102508e-05,
                5.422221553654169e-06
            ],
            [
                7.484620881991804e-05,
                1.14787722137456e-05,
                0.9579122755387536,
                0.8807970795424087,
                0.8933093996634686,
                0.8354835309589074,
                5.8291292975733214e-05,
                0.9770226316789551,
                0.9579122708828602,
                0.9241418257242036
            ],
            [
                0.8933094081846421,
                0.9465966698235384,
                0.9626731113172399,
                0.9924227586060783,
                0.9875683503016426,
                0.9626731105140616,
                0.9465966741548683,
                5.422221550626256e-06,
                6.9622545823924185e-06,
                0.5621765008857981
            ],
            [
                0.966914022326357,
                2.1444950812217446e-05,
                0.9626731126558705,
                0.966914024948248,
                1.670141983170615e-05,
                0.9525741300200604,
                0.8807970889295663,
                0.8354835330070839,
                0.851952809486198,
                0.9626731101124724
            ],
            [
                0.6791787056691697,
                0.8807970889295664,
                5.42222025986737e-06,
                1.670141982216708e-05,
                0.7772998714925403,
                0.9740426398352606,
                0.9324533158993963,
                0.02033235490094001,
                0.8807970873650401,
                0.9914225157267513
            ],
            [
                0.8807970842359877,
                0.9740426411539017,
                0.9046505286741727,
                0.7310585903489891,
                0.8354835371034368,
                5.829124399811183e-05,
                0.9399133462493554,
                0.8519528019683106,
                0.8519528038477824,
                0.9324533060447606
            ],
            [
                1.4738976674655674e-05,
                6.962255406450604e-06,
                0.9046505376715775,
                0.9525741268224331,
                5.422221552579112e-06,
                0.9706877663867577,
                0.939913354875362,
                0.9149009596336303,
                0.7549149923816048,
                2.7535694210283754e-05
            ],
            [
                1.147877359392407e-05,
                0.9914225140002165,
                1.4738987200019699e-05,
                7.88926539957853e-06,
                0.914900953832817,
                1.4738983710366698e-05,
                0.9046505351008904,
                7.88926351104045e-06,
                0.9796676453587736,
                0.8519528000888386
            ],
            [
                0.9046505363862339,
                0.9770226327243372,
                0.9241418231126367,
                1.670142777884556e-05,
                2.144495605448738e-05,
                1.892514819756836e-05,
                8.481102063969529e-05,
                1.670142579763494e-05,
                6.605215985872085e-05,
                1.300712689179304e-05
            ],
            [
                0.9465966720833627,
                0.9324533060447606,
                1.0129995807699706e-05,
                0.7981867873410141,
                0.9324533022906133,
                0.9465966743431868,
                0.8519528076067262,
                0.9149009584734676,
                0.9525741256443601,
                0.9399133473013074
            ],
            [
                0.9149009596336303,
                0.9770226320552927,
                0.4687906266262437,
                0.9902915251123275,
                0.9579122728353316,
                0.9770226301736049,
                0.7981867777396211,
                0.9740426430376748,
                0.9399133468805266,
                0.9740426402591095
            ],
            [
                0.9399133447766225,
                0.7981867681382279,
                0.9399133451974032,
                0.9840936061889035,
                0.8354835411997897,
                0.8670357735451834,
                0.7549149923816048,
                0.9046505299595162,
                5.422220260794484e-06,
                0.9669140228030645
            ],
            [
                0.9241418257242036,
                0.8933094032139577,
                1.8925145960215522e-05,
                1.0129988549837274e-05,
                0.8807970873650401,
                0.9740426418132223,
                0.651354857898194,
                1.0129988553854175e-05,
                0.9669140181551665,
                1.0129995800789894e-05
            ],
            [
                3.535626740405104e-05,
                8.939694158923915e-06,
                0.8807970904940926,
                0.9149009607937928,
                0.9840936048768523,
                0.9796676482156224,
                0.924141813188682,
                0.970687772322521,
                0.9626731105140616,
                8.939700559475965e-06
            ],
            [
                0.9525741224467326,
                0.817574478416099,
                3.535623785600612e-05,
                7.484619892023453e-05,
                0.7772998508568417,
                0.8354835411997897,
                0.8519528000888386,
                0.37754067580180184,
                2.1444953475480143e-05,
                0.8933093946927838
            ],
            [
                0.8670357615200475,
                0.9914225130973494,
                0.9626731087738417,
                0.9046505299595162,
                0.9465966739665496,
                0.9875683499586243,
                0.9875683462997615,
                0.9740426419545053,
                1.3007131557971383e-05,
                0.9706877687186648
            ],
            [
                0.7310585844894971,
                0.7772998714925402,
                0.8519527963298947,
                0.9149009578933863,
                0.8670357701094303,
                0.5,
                0.9820137893141226,
                0.9579122759893238,
                1.0129992180674948e-05,
                0.8670357735451835
            ],
            [
                0.8933094046341532,
                0.7057850154599562,
                0.9626731122542814,
                0.7981867705385762,
                8.939700562110258e-06,
                0.9149009532527358,
                8.939699493107236e-06,
                0.966914019704466,
                1.8925145959182802e-05,
                0.43782349911420193
            ],
            [
                0.957912271784001,
                0.8670357477770336,
                0.9324533027598817,
                0.9579122747878032,
                0.9626731154669946,
                0.7549149758396752,
                1.670142975495271e-05,
                0.9706877697786225,
                0.9890130560032114,
                0.8670357649558007
            ],
            [
                0.8670357580842941,
                1.0129994578840188e-05,
                0.8807970779778824,
                0.14804719615221756,
                0.8807970779778824,
                0.8354835309589074,
                0.731058584489497,
                5.422218966071015e-06,
                0.8519527982093666,
                0.8519527982093666
            ],
            [
                0.8354835391516133,
                0.8933093982432729,
                1.3007133092102508e-05,
                0.9740426450627305,
                0.5926665999540698,
                5.422218967491273e-06,
                0.7310585669110203,
                1.012999217687916e-05,
                8.939700556744102e-06,
                1.6701429787579988e-05
            ],
            [
                1.0677024881266355e-06,
                4.7850933521167006e-06,
                1.4738985476533587e-05,
                0.9046505299595162,
                0.9579122701319097,
                4.2228319278577665e-06,
                0.7057850402140659,
                0.5621765008857981,
                0.9626731130574596,
                0.5312093733737563
            ],
            [
                0.92414182206801,
                0.9940889314803194,
                0.8354835391516133,
                0.6224593241981982,
                0.7981867777396211,
                3.5356267453698665e-05,
                0.9579122678790578,
                1.300712533821453e-05,
                7.889263518043432e-06,
                0.8933094174159127
            ],
            [
                0.8519528057272543,
                6.144173856141707e-06,
                0.9324533069832974,
                5.144221939521527e-05,
                3.726640171768275e-06,
                0.34864512856608554,
                0.817574471748733,
                0.8670357580842941,
                0.7549149923816048,
                1.4738983719053027e-05
            ],
            [
                0.7057850216484838,
                0.8933094017937621,
                0.9241418126663687,
                1.3007126902392506e-05,
                0.8175744673038222,
                0.8354835371034368,
                0.7772998560157665,
                0.7981867705385762,
                0.4073334000459302,
                0.8807970842359877
            ],
            [
                2.430024940080467e-05,
                0.5312093733737562,
                1.0129995804364571e-05,
                0.7981867777396212,
                0.5926665999540698,
                2.1444948383466943e-05,
                1.1478772210530154e-05,
                0.8933094081846421,
                0.9820137923079637,
                1.6701419821194947e-05
            ],
            [
                0.9149009520925732,
                0.990291523679697,
                0.9820137906958956,
                0.7549149923816048,
                0.7772998611746912,
                0.8670357666736772,
                0.4687906266262437,
                0.9465966673753953,
                0.9399133515091156,
                0.9796676450990599
            ],
            [
                0.731058584489497,
                0.8354835289107309,
                0.9465966696352197,
                0.7772998560157663,
                0.5312093733737563,
                1.6701425762516573e-05,
                6.605215985872085e-05,
                0.7772998560157665,
                0.9525741217735478,
                0.8519528076067262
            ],
            [
                1.4738985470206506e-05,
                0.9579122753885634,
                0.974042644827259,
                0.8670357598021707,
                0.9324533055754922,
                1.0129990973503458e-05,
                0.9626731168056251,
                0.9241418178895029,
                1.4738983688490015e-05,
                2.753568759055024e-05
            ],
            [
                0.9740426404945811,
                0.8670357563664174,
                0.9840936083464986,
                8.9396962925058e-06,
                2.561283431371526e-06,
                0.9579122705824801,
                1.1478769490387674e-05,
                0.9241418137109955,
                0.46879062662624377,
                0.9465966702001757
            ],
            [
                2.5612831265630198e-06,
                0.8807970795424087,
                0.8175744739711883,
                0.5621765008857981,
                0.9324533032291501,
                4.222833443154396e-06,
                0.9046505312448598,
                0.9669140225647108,
                0.7549149923816046,
                0.9399133439350607
            ],
            [
                0.7310585786300049,
                2.902311638759718e-06,
                8.939697360662863e-06,
                0.7310585669110202,
                7.88926164299515e-06,
                1.1478769486170011e-05,
                1.3007128457958606e-05,
                1.0129989754502517e-05,
                4.222831932666232e-06,
                0.9399133451974033
            ],
            [
                0.9796676449135503,
                0.9324533116759811,
                6.144174599700092e-06,
                0.9525741216052516,
                0.94659667246,
                1.6701427808495672e-05,
                0.9740426409655245,
                0.9525741291785796,
                0.6791787056691698,
                0.9046505286741726
            ],
            [
                0.798186787341014,
                0.8354835452961425,
                0.8519528076067262,
                0.867035763237924,
                4.785095059622724e-06,
                0.6513548511303338,
                0.7057850340255386,
                0.9399133542441908,
                0.8670357683915537,
                0.9706877695136331
            ],
            [
                0.6224593312018546,
                0.9820137903340026,
                0.880797076413356,
                0.8933094032139577,
                0.7772998611746911,
                0.957912269230769,
                0.9579122713334306,
                0.7981867777396212,
                0.7981867849406659,
                0.8354835309589074
            ],
            [
                0.7549149923816048,
                8.939694162533871e-06,
                0.880797071719777,
                1.0129995789586784e-05,
                1.0129990955666936e-05,
                2.1444953450671496e-05,
                0.9046505421702797,
                0.8519527944504227,
                0.8807970779778825,
                0.932453310268176
            ],
            [
                0.7772998714925403,
                4.5397868206326845e-05,
                0.5926665999540697,
                0.9914225126855153,
                0.8175744828610095,
                1.0129994594944656e-05,
                2.7535700742268587e-05,
                1.892514138919234e-05,
                0.9241418142333089,
                3.726637949408095e-06
            ],
            [
                3.2887506322596243e-06,
                1.3007123803563812e-05,
                0.9046505318875316,
                1.1478766749575118e-05,
                0.9890130562258508,
                0.9770226287518853,
                1.1478769489009626e-05,
                5.422218321441422e-06,
                0.9669140247098943,
                1.3007134659924986e-05
            ],
            [
                4.222833946645451e-06,
                0.8519528000888386,
                0.9046505338155469,
                0.9669140236373026,
                1.012999218277553e-05,
                1.0129987350147233e-05,
                6.605216788312844e-05,
                1.7603440517840551e-06,
                1.3007123780093576e-05,
                0.9399133519298964
            ],
            [
                4.785096202074502e-06,
                8.93969736654937e-06,
                0.9241418262465169,
                8.939696296571067e-06,
                4.222832939663403e-06,
                3.2887494561507166e-06,
                1.0129987335148346e-05,
                0.9046505440982949,
                0.9875683485179472,
                1.7603430033158905e-06
            ],
            [
                1.892515270807579e-05,
                0.9149009526726544,
                7.88926164064169e-06,
                0.9465966651155708,
                6.1441753319483296e-06,
                8.939696296571067e-06,
                0.5621765008857981,
                0.8670357649558007,
                0.9241418210233833,
                0.7549149923816048
            ],
            [
                0.817574478416099,
                6.962257075488498e-06,
                0.9525741244662868,
                6.144173867451939e-06,
                7.88926070097951e-06,
                7.88926258185382e-06,
                0.9579122749379931,
                3.2887506322596243e-06,
                0.8807970732843033,
                1.6701427795007302e-05
            ],
            [
                6.144173866177863e-06,
                0.6513548782017745,
                6.144173857259321e-06,
                0.9525741224467326,
                0.9149009457116781,
                0.8807970811069351,
                0.7772998611746912,
                0.7549149978955811,
                0.5926665999540698,
                0.6513548511303336
            ],
            [
                0.6513548646660542,
                0.7772998714925403,
                0.7772998611746912,
                2.7535697581856767e-05,
                0.9241418199787564,
                0.9241418267688302,
                0.9046505421702796,
                1.6701421817959012e-05,
                1.6701427771797583e-05,
                0.8670357529306639
            ],
            [
                0.9465966718950439,
                0.8933094010836642,
                1.3007125352457558e-05,
                0.7310585844894971,
                0.9796676447280406,
                0.9324533018213449,
                0.9149009549929797,
                0.29421495978593404,
                0.7549149813536518,
                0.9046505370289057
            ],
            [
                0.9046505351008906,
                0.9706877660157723,
                0.9859363744934694,
                7.889264462470271e-06,
                0.3486451285660856,
                0.8670357615200475,
                0.8354835309589074,
                0.8933094124452288,
                7.889262579299453e-06,
                5.4222209055130735e-06
            ],
            [
                0.9914225133191062,
                7.889259749865851e-06,
                0.7310585844894971,
                6.962259565520738e-06,
                0.8354835432479661,
                0.966914018751051,
                0.977022627706503,
                0.9324533158993963,
                0.9241418246795768,
                0.6791786861878392
            ],
            [
                0.8175744695262775,
                0.893309405344251,
                0.9740426454394852,
                0.9525741216052516,
                0.97966764624922,
                0.4378234991142018,
                0.9626731090415678,
                4.0063696616132704e-05,
                0.9241418121440552,
                0.5
            ],
            [
                0.8354835330070839,
                0.9046505415276079,
                4.785096204415878e-06,
                0.8670357701094303,
                6.962259562531989e-06,
                0.5926665999540698,
                0.9046505434556231,
                0.9820137903998013,
                0.7057850216484837,
                0.8354835411997897
            ],
            [
                0.8175744828610095,
                1.3007123806450271e-05,
                0.5926665999540698,
                0.9706877688246606,
                0.7981867705385762,
                0.8175744739711883,
                0.9579122764398942,
                0.9770226286264393,
                0.9669140242331868,
                6.962259565039499e-06
            ],
            [
                0.9579122693809591,
                0.9324533083911025,
                0.9626731150654055,
                0.7310585844894971,
                0.8519528057272544,
                0.9324533032291501,
                0.8670357683915538,
                0.8519528000888386,
                0.977022628417363,
                0.957912276139514
            ],
            [
                0.9978172835698677,
                0.9399133502467731,
                0.8354835411997897,
                0.8807970873650401,
                5.829129288582396e-05,
                0.9820137864847779,
                0.952574123793102,
                3.1201907416634164e-05,
                0.9324533158993963,
                0.9241418147556223
            ],
            [
                0.8933094138654242,
                0.9706877717925422,
                0.9626731083722524,
                0.7310585727705127,
                1.3007128452848148e-05,
                0.9740426402591096,
                0.43782349911420193,
                0.8519528057272543,
                1.4738981943502968e-05,
                0.6224593312018546
            ],
            [
                0.6513548714339145,
                0.9046505428129514,
                0.9796676455071813,
                0.9046505415276079,
                4.785092781578734e-06,
                0.7549149813536518,
                6.962257075260544e-06,
                0.9525741271590256,
                1.3007128458384476e-05,
                0.8933093996634686
            ],
            [
                0.7310585727705126,
                7.889264464106214e-06,
                0.9902915224977765,
                0.9149009480320036,
                0.8354835330070839,
                8.939694160322368e-06,
                0.9525741320396143,
                6.962259565520738e-06,
                0.8354835330070838,
                0.5312093733737563
            ],
            [
                0.9669140216112959,
                0.7981867777396211,
                0.9740426424254485,
                0.9875683496384738,
                0.9046505428129514,
                0.9046505318875316,
                0.9465966718950439,
                0.9465966756614176,
                0.8354835350552603,
                0.970687769566631
            ],
            [
                0.9669140183935204,
                0.7549149978955811,
                0.7549149923816048,
                0.8354835432479661,
                0.9579122741870427,
                0.9324533083911025,
                0.9241418152779358,
                NaN,
                0.9579122686300084,
                0.9706877659097766
            ],
            [
                0.9149009596336303,
                0.9046505440982948,
                0.880797071719777,
                0.8519528000888386,
                0.8175744806385542,
                0.9324533116759811,
                0.817574478416099,
                0.9669140195852891,
                0.9859363750229257,
                0.9626731126558705
            ],
            [
                0.9740426408713357,
                0.9626731094431571,
                1.3007125339066272e-05,
                0.9770226287937005,
                0.7772998611746912,
                0.9399133523506772,
                0.8354835411997897,
                0.9940889303146617,
                5.4222183217274465e-06,
                0.9706877679236965
            ],
            [
                0.8807970873650401,
                1.3007133087181325e-05,
                0.8933094096048376,
                0.9324533051062238,
                0.8933094138654242,
                0.7310585727705126,
                3.726639726103083e-06,
                0.7772998560157665,
                0.9740426423312599,
                0.6224593382055109
            ],
            [
                1.3007133098679858e-05,
                0.7772998611746912,
                0.7981867729389246,
                0.7310585844894971,
                8.939694170062744e-06,
                0.8933094124452287,
                0.9770226283337323,
                2.4300234854672095e-05,
                1.1478764011143482e-05,
                1.1478773585029389e-05
            ],
            [
                0.7981867849406659,
                0.8807970779778825,
                2.9023116387069255e-06,
                0.880797085800514,
                0.7772998560157665,
                5.422221543958929e-06,
                0.9626731103801985,
                0.5926665999540698,
                1.4738985462538942e-05,
                0.9796676486979474
            ],
            [
                0.9465966669987579,
                0.9706877673407197,
                1.6701427792273175e-05,
                0.9626731099786092,
                1.670141978437536e-05,
                0.679178699175393,
                2.4300234882960603e-05,
                0.9959298631089812,
                3.1201903771427666e-05,
                0.731058584489497
            ],
            [
                0.9525741318713181,
                0.9046505351008904,
                1.1478773592378984e-05,
                0.7772998663336158,
                0.9465966715184065,
                0.9579122729855218,
                7.889261642363733e-06,
                0.817574471748733,
                0.9579122734360922,
                0.9241418272911436
            ],
            [
                0.9149009619539554,
                0.9149009509324103,
                1.1478773589247056e-05,
                1.6701415835201574e-05,
                0.9740426436969953,
                0.9525741222784364,
                0.9740426418603166,
                0.9149009457116781,
                3.726641060244989e-06,
                8.939699499432793e-06
            ],
            [
                0.9525741217735478,
                2.9023116378886404e-06,
                0.6513548714339144,
                8.93969736456552e-06,
                0.9046505370289057,
                0.8670357615200474,
                8.939693100361262e-06,
                0.979667648401132,
                1.4738981951974817e-05,
                0.9902915226410396
            ],
            [
                0.46879062662624377,
                6.9622579075254155e-06,
                3.2887482798567817e-06,
                0.9579122696813392,
                0.932453310268176,
                0.7057850216484838,
                5.1442213270626114e-05,
                8.939700557589678e-06,
                1.147876673871777e-05,
                4.7850944902944094e-06
            ],
            [
                0.914900950352329,
                0.7981867753392728,
                1.473897665663959e-05,
                1.4738983690634787e-05,
                0.6513548578981939,
                0.9324533069832973,
                0.9399133540338004,
                0.974042641907411,
                4.006370621781709e-05,
                0.8519528019683105
            ],
            [
                0.9046505299595162,
                4.222832932658097e-06,
                0.8807970889295663,
                2.1444953459409133e-05,
                4.222832437109582e-06,
                7.889262578983744e-06,
                0.94659667246,
                0.7310585727705126,
                0.8807970811069351,
                2.1444945778559785e-05
            ],
            [
                0.32082131381216084,
                1.0129988559492579e-05,
                1.3007130002168321e-05,
                0.6791787056691698,
                0.8807970748488297,
                0.9149009526726545,
                1.0129992182443859e-05,
                6.96225624314774e-06,
                0.9770226315953245,
                0.9149009544128984
            ],
            [
                0.867035771827307,
                0.9959298630995432,
                0.9399133456181842,
                4.785093922115089e-06,
                7.889266336658201e-06,
                0.7772998611746912,
                1.3007134657464394e-05,
                1.670142578803511e-05,
                1.3007133107008012e-05,
                0.5621765008857981
            ],
            [
                0.8807970889295664,
                3.5356242177147305e-05,
                0.7981867849406659,
                0.7310585727705126,
                0.9465966690702635,
                6.962255414631664e-06,
                0.6224593312018546,
                0.8354835432479661,
                0.8670357563664174,
                0.9149009578933864
            ],
            [
                0.9465966658688457,
                0.9890130588874014,
                0.9399133433038894,
                3.28874828059259e-06,
                0.8933093989533708,
                0.8354835309589073,
                0.8933093975331751,
                0.9706877686656669,
                0.9046505344582187,
                0.9626731143960902
            ],
            [
                0.9046505254608136,
                0.9875683475346279,
                7.889262582571338e-06,
                0.8933094124452287,
                0.8807970764133561,
                0.7549149868676284,
                0.9324533032291501,
                0.904650530602188,
                0.9241418199787564,
                0.9525741217735478
            ],
            [
                7.889259755290287e-06,
                2.7535697473471177e-05,
                0.9875683502673407,
                7.8892663403606e-06,
                0.9241418231126367,
                1.670142575960017e-05,
                0.8933094103149354,
                1.6701423815938485e-05,
                0.957912276289704,
                0.8933093989533708
            ],
            [
                7.88926540262081e-06,
                0.8933093961129794,
                0.9324533055754922,
                7.889260701237816e-06,
                1.8925145949268695e-05,
                7.88926633625639e-06,
                0.7549149758396752,
                0.9525741234565096,
                1.1478769485293071e-05,
                0.9399133546649716
            ],
            [
                4.0063692035949344e-05,
                6.144173132689249e-06,
                5.829127155867431e-05,
                0.9875683470772699,
                4.785096773196046e-06,
                6.96225624580722e-06,
                0.4378234991142019,
                6.9622595602271066e-06,
                0.9046505286741726,
                6.144174593452641e-06
            ],
            [
                0.8519528076067262,
                0.7057850340255386,
                0.8175744806385543,
                0.9046505280315008,
                8.93969629982328e-06,
                0.7772998663336158,
                0.3208212943308302,
                1.8925145967719952e-05,
                0.904650530602188,
                0.9465966743431868
            ],
            [
                0.8519527944504227,
                0.798186784940666,
                0.7549149868676283,
                0.8175744739711883,
                0.817574478416099,
                6.144174599174813e-06,
                0.6791786926816161,
                1.4738978441840487e-05,
                0.9971990729268776,
                0.679178686187839
            ],
            [
                0.985936372130286,
                0.7981867705385762,
                0.8670357580842941,
                0.6513548714339145,
                0.9046505434556231,
                0.8807970811069351,
                0.962673111584966,
                0.5312093733737563,
                0.9399133456181841,
                1.0129988552896015e-05
            ],
            [
                0.9933071484689496,
                1.3007125341337584e-05,
                0.9959298621179958,
                0.9840936054308295,
                0.9820137873401612,
                0.9947798736414581,
                0.9796676481414185,
                0.9740426450156363,
                6.144173134343315e-06,
                0.9959298621765112
            ],
            [
                0.9149009520925732,
                1.012998973526561e-05,
                0.9149009625340366,
                0.5621765008857981,
                6.144173135628569e-06,
                0.9706877690366521,
                0.9820137862544823,
                0.7057850340255386,
                0.6791786926816161,
                5.4222189669981275e-06
            ]
        ]
    },
    {
        "q_id": "10603_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9998415638216555,
                0.9998415637080029,
                0.9999251537641526,
                0.9999485577987836,
                0.9998601779261247,
                0.9996646498131788,
                0.999948557804806,
                0.9996646498956523,
                0.9975273765797712,
                0.9998766054252257
            ],
            [
                0.9999987901338839,
                0.9999996533672136,
                0.9999996533674615,
                0.9999996940977731,
                0.9999996940977002,
                0.9999996072139402,
                0.9999996940977001,
                0.9999996533672549,
                0.9999996940978095,
                0.9999995549147359
            ],
            [
                0.9999998555020307,
                0.9999998144609645,
                0.9999994956524115,
                0.9999996533674202,
                0.9999998362623528,
                0.9999997300420937,
                0.9999997897567342,
                0.9999997300422869,
                0.9999998362622747,
                0.9999994956523514
            ],
            [
                0.9999997617630616,
                0.9999996940976636,
                0.9999997300421581,
                0.9999998362623137,
                0.9999995549150542,
                0.9999996533674614,
                0.9999998555020134,
                0.9999998144608981,
                0.999999814460876,
                0.9999998144609423
            ],
            [
                0.9999996072137529,
                0.9999993524053562,
                0.9999991684717742,
                0.999999168471576,
                0.9999994284994848,
                0.9999996940976272,
                0.9999989322970028,
                0.9999996533673375,
                0.9999994956524716,
                0.9999989322968758
            ],
            [
                0.9999998362622552,
                0.9999996533674202,
                0.9999996533672962,
                0.9999996940977366,
                0.999999789756684,
                0.9999996533674615,
                0.9999996940977001,
                0.9999993524054335,
                0.9999992661788446,
                0.9999994284992805
            ],
            [
                0.9999994956524716,
                0.9999986290429567,
                0.9999980052702786,
                0.9999974387168735,
                0.9999990577554061,
                0.999998932296621,
                0.9999994956523512,
                0.9999994956525917,
                0.9999994284994849,
                0.9999967112505435
            ],
            [
                0.9999996940976271,
                0.9999996940977002,
                0.9999996533672136,
                0.9999987901337397,
                0.999999900688043,
                0.9999989322971301,
                0.9999996940978095,
                0.9999997617630332,
                0.9999995549148419,
                0.9999994956524115
            ],
            [
                0.9999992661791944,
                0.9999995549148419,
                0.999999789756634,
                0.9999996940976272,
                0.9999993524050474,
                0.999999789756634,
                0.9999987901341723,
                0.9999991684722698,
                0.9999997300422547,
                0.9999994956524114
            ],
            [
                0.9999998144609423,
                0.9999996072138934,
                0.9999996533674202,
                0.9999996533672962,
                0.9999996940976636,
                0.9999998144608097,
                0.9999998362623723,
                0.9999997300420937,
                0.999999814460854,
                0.999999814460854
            ],
            [
                0.9999999006879721,
                0.9999998144609202,
                0.9999998555020135,
                0.9999998555019791,
                0.9999998555020306,
                0.9999997897566589,
                0.9999997617631468,
                0.999999814460876,
                0.9999998362623332,
                0.999999789756684
            ],
            [
                0.999999887464744,
                0.9999997897565587,
                0.9999996072138934,
                0.9999997300422547,
                0.999999730042126,
                0.9999996533672549,
                0.9999997897565587,
                0.9999997617631753,
                0.9999998555019618,
                0.9999997897565838
            ],
            [
                0.9999996072139402,
                0.9999995549151073,
                0.9999994956525918,
                0.9999994284994849,
                0.999999855502048,
                0.9999994956525918,
                0.9999997300420939,
                0.9999998144608097,
                0.9999994284996893,
                0.9999996940978461
            ],
            [
                0.999999653367379,
                0.9999998555019274,
                0.999999789756684,
                0.9999995549147889,
                0.9999997300422226,
                0.9999990577552939,
                0.9999997300422869,
                0.9999998144609424,
                0.9999997617631753,
                0.9999997300422547
            ],
            [
                0.9999991684717742,
                0.9999987901344607,
                0.9999996072139402,
                0.9999989322966208,
                0.9999994284992804,
                0.9999992661790195,
                0.9999993524051247,
                0.9999996533674202,
                0.9999993524052019,
                0.9999987901346051
            ],
            [
                0.9999997300422869,
                0.9999998724809571,
                0.9999997617630616,
                0.999999789756634,
                0.9999995549147358,
                0.9999996072136125,
                0.9999996072136125,
                0.9999990577556309,
                0.99999976176309,
                0.9999996940978095
            ],
            [
                0.9999997617630332,
                0.9999994284993486,
                0.9999991684717741,
                0.9999997617630333,
                0.9999994956524716,
                0.9999997300422869,
                0.9999996533672963,
                0.9999994284994167,
                0.9999991684718735,
                0.9999992661792819
            ],
            [
                0.9999997300423191,
                0.9999996940978095,
                0.9999994284996211,
                0.9999996072136125,
                0.9999996533672549,
                0.9999993524053562,
                0.9999989322968755,
                0.9999993524050474,
                0.9999997300422869,
                0.9999998724810026
            ],
            [
                0.9999989322973847,
                0.9999994956524716,
                0.9999996533674615,
                0.9999994284994849,
                0.9999991684715759,
                0.9999990577556308,
                0.9999996072137529,
                0.9999991684720715,
                0.999999694097846,
                0.9999987901347492
            ],
            [
                0.999999855501979,
                0.9999992661791945,
                0.9999997617631752,
                0.9999996072138466,
                0.999999554914895,
                0.9999996072139402,
                0.9999994956523514,
                0.9999990577557432,
                0.9999995549147358,
                0.9999998362622552
            ],
            [
                0.9999998144608319,
                0.9999997897565838,
                0.9999996940978825,
                0.9999996072137529,
                0.999999814460854,
                0.9999997897566089,
                0.999999730042126,
                0.9999997300422869,
                0.999999428499553,
                0.9999997897565587
            ],
            [
                0.9999997617629763,
                0.999999554914842,
                0.9999998874647574,
                0.9999999006881022,
                0.9999999123574628,
                0.9999996533674202,
                0.9999999123575046,
                0.9999996940978095,
                0.9999997617631752,
                0.9999998555020135
            ],
            [
                0.9999997617629764,
                0.9999998144609202,
                0.9999994284997574,
                0.9999996940976636,
                0.9999992661791944,
                0.9999998144609424,
                0.999999814460854,
                0.9999996533674202,
                0.999999653367503,
                0.9999996533674202
            ],
            [
                0.9999998144609424,
                0.9999997300422547,
                0.9999997897565838,
                0.999999554914895,
                0.9999997300422547,
                0.9999996533672962,
                0.9999996533672136,
                0.9999996533672135,
                0.9999998144609645,
                0.9999991684720715
            ],
            [
                0.9999997617630616,
                0.9999994956525318,
                0.9999996533673375,
                0.9999996533672963,
                0.9999993524052019,
                0.9999998144609645,
                0.9999995549147889,
                0.9999997300422869,
                0.9999997897567341,
                0.9999996940976271
            ],
            [
                0.9999992661786696,
                0.9999998362623137,
                0.9999992661789321,
                0.9999995549150542,
                0.9999996072139402,
                0.9999998144609645,
                0.9999995549150542,
                0.9999996072138465,
                0.9999997617630332,
                0.9999996533674614
            ],
            [
                0.9999997617631184,
                0.9999997617630616,
                0.9999998362623332,
                0.9999997300423191,
                0.9999998555019274,
                0.9999999123575151,
                0.9999998555019963,
                0.9999997300421583,
                0.9999998362623138,
                0.9999996940977002
            ],
            [
                0.9999998362622357,
                0.9999998144609203,
                0.9999998555019619,
                0.9999994284997574,
                0.9999996940978095,
                0.9999997897565587,
                0.9999994284994849,
                0.9999997617631184,
                0.9999998362623528,
                0.9999994956527722
            ],
            [
                0.9999996940977366,
                0.9999997300422225,
                0.9999997300421581,
                0.9999998874648648,
                0.9999994284994848,
                0.9999998362622552,
                0.9999996072139402,
                0.9999998724810027,
                0.9999996940976272,
                0.9999995549151073
            ],
            [
                0.999999855502048,
                0.9999996072136592,
                0.9999996533672549,
                0.9999996533675028,
                0.9999996533674614,
                0.9999994956527121,
                0.9999997897565588,
                0.999999694097846,
                0.9999997617630617,
                0.9999996940977366
            ],
            [
                0.9999996533675028,
                0.9999992661791944,
                0.9999998144609424,
                0.9999994956527722,
                0.9999997897567091,
                0.9999994956524716,
                0.9999998144608317,
                0.9999997897565838,
                0.9999995549151073,
                0.9999998555020307
            ],
            [
                0.9999998724809571,
                0.9999996533675028,
                0.999999730042126,
                0.9999998144608097,
                0.9999991684717741,
                0.9999996940977366,
                0.9999997617631469,
                0.9999996533672135,
                0.9999995549150542,
                0.9999996940976272
            ],
            [
                0.9999989322970028,
                0.9999994284992805,
                0.9999997897565587,
                0.9999998144609203,
                0.9999997617630899,
                0.9999996533675028,
                0.9999991684719725,
                0.9999997897567342,
                0.9999995549151073,
                0.999999554914895
            ],
            [
                0.9999994956527721,
                0.9999997300422869,
                0.9999997300422547,
                0.999999266179107,
                0.999999789756684,
                0.9999990577550691,
                0.9999996940976636,
                0.9999994956524115,
                0.9999990577554062,
                0.9999992661786696
            ],
            [
                0.9999997300422225,
                0.9999996533675028,
                0.9999998144608981,
                0.9999996940978095,
                0.9999997897565587,
                0.9999998874648379,
                0.9999997617631753,
                0.9999996072136593,
                0.9999996533672962,
                0.9999998144609645
            ],
            [
                0.9999997617631469,
                0.9999997300422869,
                0.9999997300421581,
                0.9999998144609202,
                0.9999996940977366,
                0.9999994956525918,
                0.9999998362623332,
                0.9999998362622357,
                0.9999994956526519,
                0.9999990577550691
            ],
            [
                0.9999994284993486,
                0.9999994956524114,
                0.9999994956527721,
                0.9999998144608097,
                0.9999997300420939,
                0.9999992661790195,
                0.9999997617631752,
                0.9999994284993486,
                0.9999997300420939,
                0.999999168471675
            ],
            [
                0.9999998555019618,
                0.9999997300421581,
                0.9999996940978825,
                0.999999266178757,
                0.9999984465018752,
                0.9999998555019618,
                0.9999995549147889,
                0.9999997897565587,
                0.9999996940977002,
                0.9999997617631753
            ],
            [
                0.9999993524051246,
                0.999999352404893,
                0.9999986290421398,
                0.9999984465020604,
                0.9999952149072182,
                0.9999994956525918,
                0.9999990577554061,
                0.9999970976866315,
                0.9999982396574164,
                0.9999994956526519
            ],
            [
                0.9999998362622552,
                0.9999998144608538,
                0.9999995549151073,
                0.9999996940978095,
                0.9999998362623723,
                0.9999996072136593,
                0.9999998555019274,
                0.9999996072136125,
                0.9999998362623332,
                0.9999998555020135
            ],
            [
                0.9999997617629763,
                0.9999994956524115,
                0.9999998144608098,
                0.9999997617631183,
                0.9999996940977001,
                0.9999997897567091,
                0.9999998144609645,
                0.9999998144609645,
                0.9999998144608981,
                0.9999997897567091
            ],
            [
                0.9999994956524716,
                0.9999997300422547,
                0.9999990577552939,
                0.9999997897566089,
                0.9999995549150542,
                0.9999997617630332,
                0.9999996533674615,
                0.9999993524054335,
                0.999999814460854,
                0.9999997617630048
            ],
            [
                0.9999993524049703,
                0.9999990577555185,
                0.9999996533674614,
                0.9999996940977002,
                0.9999994284993486,
                0.9999994956524716,
                0.9999996533674617,
                0.999999789756634,
                0.9999987901343167,
                0.999999653367379
            ],
            [
                0.9999997897565587,
                0.9999996072137998,
                0.9999998874648648,
                0.9999998724809267,
                0.9999998362623332,
                0.9999999006880312,
                0.9999998874649318,
                0.9999996533672136,
                0.9999999006880075,
                0.9999999226557684
            ],
            [
                0.9999996533672136,
                0.9999999006880668,
                0.999999789756634,
                0.9999997617630049,
                0.9999997300421903,
                0.9999998144609203,
                0.9999996940978095,
                0.9999995549147889,
                0.9999998555019618,
                0.9999997617630899
            ],
            [
                0.9999989322968754,
                0.9999980052700409,
                0.9999990577551815,
                0.9999996533675028,
                0.999999266178932,
                0.999998629042303,
                0.9999987901340283,
                0.9999994956527721,
                0.9999986290427932,
                0.9999996072138934
            ],
            [
                0.9999997617631469,
                0.9999997897567091,
                0.9999997300421581,
                0.9999997617631469,
                0.9999998874647977,
                0.9999998144609645,
                0.9999998362623332,
                0.9999998362623332,
                0.9999997300422869,
                0.9999994284992805
            ],
            [
                0.9999997617629764,
                0.9999995549150011,
                0.9999997897566089,
                0.9999998144609424,
                0.9999997897565587,
                0.9999997617630332,
                0.9999996533672962,
                0.9999999006881377,
                0.9999997617629763,
                0.9999994284997573
            ],
            [
                0.9999967112517193,
                0.9999994956523514,
                0.9999986290424663,
                0.999998005270992,
                0.9999930377412619,
                0.9999952149032254,
                0.9999977396754329,
                0.9999986290424663,
                0.999999266178932,
                0.9999987901337396
            ],
            [
                0.9999996533673376,
                0.9999998724809267,
                0.999999554914842,
                0.9999996940977002,
                0.9999996533672549,
                0.9999996940977366,
                0.9999994284996893,
                0.9999996940976636,
                0.9999994956524114,
                0.9999989322967482
            ],
            [
                0.9999997897567091,
                0.9999995549151073,
                0.9999997897565587,
                0.999999789756684,
                0.9999995549151072,
                0.9999995549149482,
                0.9999996533674614,
                0.999999352404893,
                0.999999428499553,
                0.9999997897565587
            ],
            [
                0.9999998144609644,
                0.9999994284992804,
                0.9999995549150011,
                0.9999997897565587,
                0.9999997897567091,
                0.9999994956525317,
                0.9999998724809267,
                0.9999997617630049,
                0.9999996940977002,
                0.9999998144608097
            ],
            [
                0.9999997617630617,
                0.9999996533674614,
                0.9999997617630332,
                0.9999996940977366,
                0.9999998555020134,
                0.9999997300422869,
                0.999999730042126,
                0.9999996072138934,
                0.9999998724808964,
                0.9999994956523514
            ],
            [
                0.999998629042303,
                0.9999994956524114,
                0.9999994956524716,
                0.9999992661786696,
                0.9999995549147359,
                0.9999997897567091,
                0.99999893229713,
                0.9999996940978461,
                0.9999997617630332,
                0.9999998555019619
            ],
            [
                0.9999997617631184,
                0.9999993524053562,
                0.9999998362623332,
                0.9999997617631469,
                0.9999994956525919,
                0.9999992661790196,
                0.999999168471675,
                0.999999554914789,
                0.9999998555019446,
                0.9999997617629763
            ],
            [
                0.9999997897566089,
                0.999999730042126,
                0.9999997617630616,
                0.9999997617631468,
                0.9999996940978095,
                0.9999997300421903,
                0.9999994956524716,
                0.9999998362622747,
                0.999999814460854,
                0.9999995549150542
            ],
            [
                0.9999997617631752,
                0.9999997617630333,
                0.9999986290429566,
                0.9999991684718732,
                0.9999984465022455,
                0.9999994956525917,
                0.999999352404893,
                0.999999554915001,
                0.9999994284993486,
                0.9999984465026158
            ],
            [
                0.9999997617630049,
                0.9999996072138934,
                0.9999996533674201,
                0.9999995549150542,
                0.9999997897565838,
                0.9999997617631468,
                0.9999997617631468,
                0.9999994284994849,
                0.9999998144608098,
                0.9999997617631469
            ],
            [
                0.99999976176309,
                0.9999995549151073,
                0.9999996072137998,
                0.9999996940978825,
                0.9999996072136593,
                0.9999996940977002,
                0.9999998362623332,
                0.999999814460876,
                0.9999992661791945,
                0.9999997897566589
            ],
            [
                0.9999994284994849,
                0.9999987901347492,
                0.999999653367379,
                0.999999554914789,
                0.9999996940977366,
                0.9999997300422869,
                0.9999996533675028,
                0.9999996940977002,
                0.9999998144608319,
                0.9999996072137998
            ],
            [
                0.999999814460876,
                0.9999996940977366,
                0.999999352405279,
                0.9999994284992804,
                0.9999996072138934,
                0.9999997300421903,
                0.9999998144608981,
                0.999999730042126,
                0.9999992661791944,
                0.9999994956527121
            ],
            [
                0.9999984465015047,
                0.9999984465028012,
                0.9999990577551815,
                0.9999992661790196,
                0.9999994956525317,
                0.999998239656577,
                0.9999992661786696,
                0.9999991684721707,
                0.9999986290424663,
                0.9999996072136593
            ],
            [
                0.9999997897567341,
                0.9999998144609423,
                0.999999789756684,
                0.999999814460876,
                0.9999996533674615,
                0.9999997897567091,
                0.9999998362623332,
                0.99999976176309,
                0.9999997897566589,
                0.9999997300422869
            ],
            [
                0.9999993524053562,
                0.9999996940978095,
                0.9999995549148419,
                0.9999996072138934,
                0.999999789756684,
                0.999999428499553,
                0.9999986290421395,
                0.9999996533672549,
                0.9999996533674615,
                0.999999352405279
            ],
            [
                0.9999998362622357,
                0.9999999317439464,
                0.9999997897566589,
                0.9999994956523514,
                0.9999996533674614,
                0.9999996533672962,
                0.9999996072137998,
                0.9999998362622357,
                0.9999998362622747,
                0.9999998874648112
            ],
            [
                0.9999991684720715,
                0.9999994956524716,
                0.9999994284994167,
                0.9999992661790195,
                0.9999989322972572,
                0.9999996533672962,
                0.9999986290431203,
                0.9999991684721707,
                0.9999996940978461,
                0.9999986290421395
            ],
            [
                0.9999993524054334,
                0.9999998362623332,
                0.9999996072138934,
                0.9999997897567342,
                0.9999996940976271,
                0.9999993524054334,
                0.9999996940978825,
                0.9999992661790195,
                0.9999997300421581,
                0.9999994284993486
            ],
            [
                0.9999997897566089,
                0.9999998362622357,
                0.9999999006880549,
                0.9999998362622746,
                0.9999997897565838,
                0.9999997300422869,
                0.9999997300422225,
                0.9999997300422225,
                0.999999694097846,
                0.999999814460854
            ],
            [
                0.9999996940977366,
                0.9999995549148419,
                0.9999997617629763,
                0.9999994956525317,
                0.9999997617631752,
                0.99999976176309,
                0.9999998144608097,
                0.9999997617630332,
                0.9999998362622746,
                0.9999997897566589
            ],
            [
                0.9999996940978825,
                0.9999992661791071,
                0.9999993524051246,
                0.9999998144608538,
                0.9999989322966208,
                0.999999554914895,
                0.9999997617630049,
                0.9999994956527722,
                0.9999995549150011,
                0.9999993524053563
            ],
            [
                0.999999352404893,
                0.999999266179282,
                0.9999997897566589,
                0.9999997897565587,
                0.9999997617630332,
                0.9999996072137998,
                0.9999996072137998,
                0.999999694097773,
                0.9999997300422225,
                0.9999998144608317
            ],
            [
                0.9999997300420939,
                0.9999998362622357,
                0.9999998144609202,
                0.9999997617630332,
                0.9999998144608319,
                0.9999991684720715,
                0.9999994956527121,
                0.9999997300421903,
                0.999999789756684,
                0.9999992661786696
            ],
            [
                0.9999997897567091,
                0.9999998144608098,
                0.9999996072138934,
                0.9999998874649051,
                0.9999998362623138,
                0.9999997617629764,
                0.9999996533674615,
                0.9999998724809875,
                0.999999694097846,
                0.9999998362622747
            ],
            [
                0.9999995549150542,
                0.999999814460854,
                0.9999997300421581,
                0.9999996940978095,
                0.9999996533672549,
                0.9999996533674614,
                0.9999996533672136,
                0.9999994284997574,
                0.9999996533675028,
                0.9999996072138934
            ],
            [
                0.9999996072136125,
                0.9999991684719726,
                0.9999992661786696,
                0.9999998362623528,
                0.9999998144609202,
                0.9999997897567091,
                0.9999997617631752,
                0.999999789756609,
                0.9999998555019274,
                0.9999997897566589
            ],
            [
                0.9999998555019962,
                0.999999900687972,
                0.9999995549150011,
                0.9999998362623138,
                0.9999998362623722,
                0.9999997617631183,
                0.9999996072136593,
                0.9999997617629764,
                0.9999997897565838,
                0.999999814460876
            ],
            [
                0.9999998362622552,
                0.9999997300420937,
                0.9999998144608983,
                0.9999996940976636,
                0.9999997617630332,
                0.9999998144608981,
                0.9999998555020307,
                0.9999996533674202,
                0.9999998874648648,
                0.9999996940977002
            ],
            [
                0.9999996940977001,
                0.9999997300422547,
                0.9999994284996893,
                0.9999987901337397,
                0.9999996940977731,
                0.999999730042319,
                0.9999987901346051,
                0.9999994284992805,
                0.9999992661787571,
                0.99999893229713
            ],
            [
                0.9999994956525317,
                0.9999997300420939,
                0.9999997617629764,
                0.9999998362622357,
                0.9999994956524716,
                0.9999998724809571,
                0.9999996940978461,
                0.9999997617630616,
                0.9999998144609202,
                0.999999789756684
            ],
            [
                0.9999984465016899,
                0.9999997617631183,
                0.999998239656577,
                0.9999990577549569,
                0.9999994956524716,
                0.9999991684718733,
                0.9999992661790195,
                0.9999980052705165,
                0.9999990577550691,
                0.9999994956527121
            ],
            [
                0.9999938558239352,
                0.9999977396765105,
                0.9999974387184,
                0.9999974387184,
                0.999998005270992,
                0.9999921107374157,
                0.9999977396754328,
                0.999998446502801,
                0.9999977396759717,
                0.999998446502801
            ],
            [
                0.9999998724809723,
                0.9999998144608538,
                0.9999997617631184,
                0.9999995549149481,
                0.9999996072137529,
                0.9999998362623528,
                0.9999998144609644,
                0.9999997300423191,
                0.9999997617631752,
                0.9999998144608097
            ],
            [
                0.9999993524054335,
                0.9999977396748939,
                0.9999996072136125,
                0.9999984465024307,
                0.9999994956527121,
                0.9999989322968754,
                0.9999930377445815,
                0.9999992661792819,
                0.9999991684717742,
                0.9999984465026159
            ],
            [
                0.9999996940976271,
                0.9999998144608098,
                0.9999998362623332,
                0.9999998555019274,
                0.9999998144609645,
                0.9999998144609202,
                0.9999997617631184,
                0.9999998724809571,
                0.9999998144609645,
                0.9999998144608983
            ],
            [
                0.9999998555019962,
                0.9999998144609423,
                0.9999994284993485,
                0.9999996072137998,
                0.9999998362622357,
                0.9999996072138466,
                0.9999996940976638,
                0.9999998144608097,
                0.9999997300421261,
                0.9999994956527121
            ],
            [
                0.9999996533672136,
                0.9999995549147359,
                0.9999996072137061,
                0.9999990577556308,
                0.99999976176309,
                0.9999993524049703,
                0.9999997617631183,
                0.9999997300421903,
                0.9999998724808963,
                0.9999996940978461
            ],
            [
                0.999999814460854,
                0.9999998555019618,
                0.9999998874647709,
                0.9999998555020307,
                0.9999997617629764,
                0.9999996072136593,
                0.999999789756684,
                0.9999995549150542,
                0.9999998874648915,
                0.9999992661788447
            ],
            [
                0.9999996940977366,
                0.9999998874647441,
                0.9999996940978825,
                0.9999996533672549,
                0.9999994956525318,
                0.999999266178932,
                0.999999855501979,
                0.9999994956525919,
                0.9999998874647709,
                0.9999998724809267
            ],
            [
                0.9999994956524716,
                0.9999998144609423,
                0.9999986290429567,
                0.9999994284997574,
                0.999999266179107,
                0.9999994284992805,
                0.9999994284997574,
                0.9999996072137061,
                0.9999997897566089,
                0.9999998362623332
            ],
            [
                0.999999789756684,
                0.9999996072138466,
                0.9999998555019618,
                0.9999996533674615,
                0.9999996072137062,
                0.9999997617630616,
                0.9999998144609424,
                0.9999997617631753,
                0.999999168471675,
                0.9999996940978825
            ],
            [
                0.9999994956525918,
                0.9999995549150542,
                0.9999998555019274,
                0.9999997300423191,
                0.9999998362622747,
                0.9999996940978825,
                0.9999996533674202,
                0.9999998555020307,
                0.9999992661786696,
                0.9999998144608319
            ],
            [
                0.999999554914895,
                0.9999977396759716,
                0.9999996533673375,
                0.9999995549148419,
                0.9999997897566589,
                0.9999998724809875,
                0.9999994956525317,
                0.999999352404893,
                0.9999994956527121,
                0.9999997300423191
            ],
            [
                0.9999980052700408,
                0.9999998362622552,
                0.9999998874647574,
                0.9999996940978461,
                0.999999814460876,
                0.9999994284994167,
                0.9999995549149481,
                0.9999994956524716,
                0.9999997300420937,
                0.9999996533672136
            ],
            [
                0.9999999123575464,
                0.9999998724809723,
                0.9999998874648782,
                0.9999999317439384,
                0.999999900687972,
                0.9999998724808963,
                0.9999999006880549,
                0.99999976176309,
                0.999999789756684,
                0.9999997300421581
            ],
            [
                0.999999789756634,
                0.9999996072137061,
                0.9999998144609424,
                0.9999997617631468,
                0.9999998724809875,
                0.9999997300420939,
                0.9999998724809267,
                0.9999998362622552,
                0.9999997617631752,
                0.9999996940977002
            ],
            [
                0.9999996533672962,
                0.999999789756684,
                0.9999992661789321,
                0.9999998144608097,
                0.9999998555019791,
                0.9999998362622747,
                0.9999997617631468,
                0.9999997300421581,
                0.9999997617629763,
                0.9999999006881022
            ],
            [
                0.9999991684720715,
                0.9999994284994167,
                0.9999994956525918,
                0.999999352404893,
                0.9999980052702789,
                0.9999994284996893,
                0.9999993524052018,
                0.999998790134028,
                0.9999990577550691,
                0.9999991684720715
            ],
            [
                0.9999997897567091,
                0.9999996940977366,
                0.9999998362623723,
                0.9999997300422547,
                0.9999995549150011,
                0.9999998144608538,
                0.9999997300420939,
                0.9999996072138934,
                0.9999997300421903,
                0.999999814460876
            ],
            [
                0.999999730042126,
                0.9999995549151073,
                0.9999996940978825,
                0.9999997617630616,
                0.9999996940976272,
                0.999999266178932,
                0.999999653367503,
                0.999999730042126,
                0.9999992661792819,
                0.9999992661791944
            ],
            [
                0.9999998362622552,
                0.9999991684718733,
                0.9999994956524115,
                0.9999987901341723,
                0.9999995549151073,
                0.9999984465022455,
                0.9999995549150542,
                0.999999554914895,
                0.9999982396569966,
                0.9999998555020306
            ],
            [
                0.9999997617630616,
                0.9999995549147358,
                0.9999990577549568,
                0.9999991684722698,
                0.9999991684717741,
                0.9999990577555185,
                0.9999987901346049,
                0.9999990577551815,
                0.9999997897565587,
                0.9999997897565838
            ],
            [
                0.9999996940978825,
                0.9999998144608319,
                0.9999997897565838,
                0.9999998724809419,
                0.9999998144608981,
                0.9999999006879838,
                0.9999998555020307,
                0.9999997617631752,
                0.9999996940978095,
                0.9999997897566089
            ],
            [
                0.9999994956523512,
                0.9999998555019618,
                0.999999694097846,
                0.9999997300422547,
                0.9999996940977366,
                0.9999996940977366,
                0.9999996940976636,
                0.9999998362623722,
                0.9999997617631469,
                0.9999996533673376
            ],
            [
                0.9999998555019963,
                0.9999996940978825,
                0.9999998362622552,
                0.9999998362623332,
                0.9999998362622552,
                0.9999998724808963,
                0.9999997617631183,
                0.9999998874648782,
                0.9999998362623332,
                0.9999997617631468
            ],
            [
                0.9999999006881377,
                0.999998629042303,
                0.8933094081846421,
                0.9999991684716749,
                0.9999994956524115,
                0.9999994284994168,
                0.9999996940977002,
                0.9999996940978095,
                0.9999998555019962,
                0.9999993524050474
            ],
            [
                0.9999996940978825,
                0.9999996072137529,
                0.9999991684718734,
                0.9999996072136125,
                0.9999997897566589,
                0.9999993524052019,
                0.9999991684717743,
                0.9999993524053562,
                0.9999986290426297,
                0.9999990577556308
            ],
            [
                0.9999996940977366,
                0.9999997300421903,
                0.9999997300422225,
                0.999999653367379,
                0.9999997300420937,
                0.9999996940978461,
                0.9999998144609424,
                0.9999998724809419,
                0.9999994284994849,
                0.9999997897566089
            ],
            [
                0.9999993524053562,
                0.9999987901337397,
                0.9999998362622552,
                0.9999996533672963,
                0.999999694097846,
                0.999999554914895,
                0.9999994284992805,
                0.9999996533674201,
                0.9999998362622746,
                0.99999976176309
            ],
            [
                0.9999974387180947,
                0.9999994284997574,
                0.9999995549149481,
                0.9999996940978825,
                0.999999814460854,
                0.9999997617631752,
                0.9999998144609424,
                0.9999997617630332,
                0.9999997300423191,
                0.999999855502048
            ],
            [
                0.9999994956525918,
                0.9999997897565587,
                0.9999992661788445,
                0.9999991684721707,
                0.999999814460876,
                0.999999814460876,
                0.9999998724809874,
                0.9999998555019962,
                0.9999998724809116,
                0.9999998362622747
            ],
            [
                0.9999997617631468,
                0.9999996940977731,
                0.9999998362622943,
                0.9999997617631468,
                0.99999976176309,
                0.999999814460876,
                0.9999998724809723,
                0.9999998144608981,
                0.9999998362622746,
                0.9999998724809115
            ],
            [
                0.9999998144608538,
                0.9999997300422547,
                0.999999789756684,
                0.9999997617629764,
                0.9999998874648112,
                0.9999993524054335,
                0.9999996072139402,
                0.9999996533674614,
                0.9999998144608098,
                0.9999998144608319
            ],
            [
                0.9999995549149481,
                0.9999994956525317,
                0.9999994284996211,
                0.9999994284996211,
                0.9999991684715759,
                0.9999996533672963,
                0.9999994956527121,
                0.9999996072139402,
                0.999999168471675,
                0.999999428499553
            ],
            [
                0.9999997617630049,
                0.9999994284997574,
                0.9999996533672963,
                0.9999998724809874,
                0.999999428499553,
                0.9999996533672962,
                0.9999996533675028,
                0.9999997617630049,
                0.9999997300422225,
                0.9999996072139402
            ],
            [
                0.9999989322971301,
                0.9999994956524115,
                0.9999996072136593,
                0.9999992661787571,
                0.9999996533672962,
                0.9999995549149481,
                0.9999993524050474,
                0.9999994956523514,
                0.9999996533674202,
                0.9999996940976636
            ],
            [
                0.9999991684722699,
                0.9999997617629763,
                0.9999997300420937,
                0.999999653367379,
                0.9999997897566589,
                0.9999999006881496,
                0.9999999006880195,
                0.999999789756684,
                0.9999997300422548,
                0.9999991684720715
            ],
            [
                0.9999977396748939,
                0.999993037742921,
                0.9999986290432835,
                0.99999862904312,
                0.9999993524052018,
                0.9999995549150011,
                0.999998629042303,
                0.9999996940978095,
                0.9999997897565838,
                0.9999996072138465
            ],
            [
                0.9999994956525318,
                0.9999996072139402,
                0.9999996940978095,
                0.9999997617630049,
                0.9999996940976271,
                0.9999996533672549,
                0.9999995549151073,
                0.999999554914895,
                0.9999996533672962,
                0.9999996940977002
            ],
            [
                0.9999998874647977,
                0.9999995549150011,
                0.9999992661786695,
                0.9999994284996893,
                0.9999998874647709,
                0.999999495652652,
                0.9999997897567091,
                0.9999995549147358,
                0.9999995549150011,
                0.9999998144608097
            ],
            [
                0.999999653367379,
                0.9999997897565587,
                0.9999997897567091,
                0.9999997897566589,
                0.9999999006879957,
                0.9999998362623528,
                0.9999999226557316,
                0.9999997897566089,
                0.999999922655833,
                0.9999996940977002
            ],
            [
                0.9999994956525918,
                0.9999997617630049,
                0.9999994284992805,
                0.9999996072136593,
                0.9999987901341725,
                0.9999994284997573,
                0.9999989322973846,
                0.9999991684720715,
                0.9999997617631183,
                0.9999990577552939
            ],
            [
                0.9999997897567342,
                0.999999900687972,
                0.9999998874648917,
                0.9999998724809875,
                0.9999998362622942,
                0.999999855501979,
                0.9999998874647843,
                0.9999997617630616,
                0.9999997897565838,
                0.9999999123575046
            ],
            [
                0.9999993524052019,
                0.9999996072136125,
                0.9999996940978825,
                0.9999995549149481,
                0.9999997300420937,
                0.9999998362623528,
                0.999999554914789,
                0.9999994956526519,
                0.9999993524049702,
                0.9999994284994849
            ],
            [
                0.999999730042126,
                0.9999994284996893,
                0.9999997897565587,
                0.9999997897567091,
                0.9999996533675028,
                0.9999995549147889,
                0.9999945777797377,
                0.9999993524051247,
                0.9999996940978095,
                0.9999997617629763
            ],
            [
                0.9999980052695652,
                0.9999992661790195,
                0.9999998724809115,
                0.9999869928730905,
                0.9999996533674201,
                0.999999266178932,
                0.999999653367379,
                0.9999997300422225,
                0.9999998555019962,
                0.9999997617630616
            ],
            [
                0.9999996072139402,
                0.9999989322973846,
                0.9999989322970028,
                0.9999992661789321,
                0.9999994284992805,
                0.9999994284992805,
                0.9999994284997574,
                0.9999987901346054,
                0.9999989322970028,
                0.9999991684721706
            ],
            [
                0.9999996072137998,
                0.9999997617629764,
                0.9999998144609202,
                0.9999997617630616,
                0.999999694097846,
                0.9999998144609202,
                0.9999998874648112,
                0.9999994956525318,
                0.9999997897567342,
                0.9999997897565838
            ],
            [
                0.9999994284993485,
                0.9999994956524115,
                0.999994577779739,
                0.9999986290431202,
                0.99999844650169,
                0.9999986290423031,
                0.999999266178932,
                0.9999991684721706,
                0.9999996533673375,
                0.9999994284993486
            ]
        ]
    },
    {
        "q_id": "10569_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.144221972794322e-05,
                0.9996646498904032,
                2.7535697653779924e-05,
                0.9999898700114358,
                0.99979657309939,
                0.9992903295455856,
                0.991422513342866,
                0.9840936118744578,
                0.9999485577863694,
                0.9988304898688943
            ],
            [
                0.9999785550413688,
                0.9999930377445814,
                0.9999485577925467,
                7.484622712072259e-05,
                0.9998204719709428,
                5.144220749598207e-05,
                0.9999952149060757,
                0.9999945777816805,
                0.9999885212277729,
                0.9997694933698938
            ],
            [
                0.9998601779763111,
                0.9999546021424118,
                0.00012339455973421916,
                2.7535681238877168e-05,
                3.120190764058611e-05,
                0.9999251537639804,
                0.0009110513161529351,
                2.4300232032009452e-05,
                4.5397863181173815e-05,
                0.9994472212392674
            ],
            [
                0.00015843617712510996,
                0.9999785550567036,
                9.610246057636654e-05,
                4.5397857772875786e-05,
                0.9999785550515972,
                0.9999869928761911,
                0.9999724643187635,
                0.9964063981922479,
                0.9999785550464785,
                0.999985261023302
            ],
            [
                0.9999724643154743,
                0.9997040428367501,
                0.9999930377437517,
                0.9999910603047634,
                0.9999339478554577,
                0.9999810748540218,
                0.00857748611858181,
                0.9996646498115299,
                0.9999898700066069,
                0.0006263341636110466
            ],
            [
                0.0002959571313377159,
                0.9986749773075021,
                0.0002959570540717888,
                6.605215246769354e-05,
                0.9999687980737768,
                4.5397863181173815e-05,
                0.00013982213930354746,
                0.9999599362887345,
                2.4300232033865884e-05,
                5.8291279342183934e-05
            ],
            [
                0.0002611904304838614,
                0.00033535014314043206,
                8.481103111438118e-05,
                0.9997694932855322,
                0.991422516241544,
                0.9998766054693604,
                0.9999938558253986,
                0.9999885212359814,
                0.9999546021367934,
                0.000261190399910445
            ],
            [
                0.9999930377420913,
                0.9999810748562776,
                0.9999852610197877,
                0.9999945777823238,
                0.9999921107336539,
                0.9990889488168314,
                0.9999756997679619,
                0.999933947863225,
                0.9999687980737603,
                0.0006263340383124282
            ],
            [
                0.0006263341592024585,
                0.0006263342306143017,
                9.610246066446198e-05,
                0.0008040860569410971,
                0.0005527787372249262,
                0.00043055713700031065,
                0.00026119033736528654,
                0.00037998443606378744,
                0.00026119021249540453,
                0.000379984480249827
            ],
            [
                0.0001398221404407745,
                0.9999885212291397,
                9.610240323743297e-05,
                0.0003799845164985233,
                0.9999885212318773,
                1.4738980212296288e-05,
                6.605215246769354e-05,
                7.484623595747305e-05,
                2.753569108453202e-05,
                3.120190392409636e-05
            ],
            [
                2.7535691078121046e-05,
                0.9998911030907348,
                0.9999646437451055,
                0.0017007220117801181,
                0.00015843625389468918,
                0.9991959138942816,
                0.9998601778759911,
                0.9992903296387522,
                2.144494840687132e-05,
                0.9999417087484788
            ],
            [
                0.00013982214033091714,
                0.00012339458916451132,
                4.006371121133516e-05,
                5.8291265478351516e-05,
                0.00015843629110500035,
                3.5356254907513187e-05,
                9.610246038199721e-05,
                0.00023050679412111268,
                0.00043055715828107903,
                8.481108141090879e-05
            ],
            [
                0.99997246431876,
                0.9999687980960746,
                0.9998911030390591,
                0.999512142825901,
                0.9998766054696027,
                0.00043055708261473784,
                0.9998415637084317,
                0.9998766054104872,
                0.9999546021422271,
                0.9996200155630407
            ],
            [
                6.605213675431452e-05,
                0.9999546021152467,
                0.00026119030847900396,
                0.9999810748540331,
                0.9999756997476926,
                0.00010889690840404075,
                0.9999417087206214,
                0.9999869928699903,
                0.00033535010534297565,
                0.00015843623535638724
            ],
            [
                0.00023050679011698343,
                0.00023050676799031385,
                0.00023050668534564564,
                0.00015843627300467938,
                0.00013982214014578718,
                0.00026119024610105974,
                0.00012339460403226952,
                0.0005527787107909102,
                0.0001584362527490119,
                0.00010889692203379031
            ],
            [
                0.9999785550515897,
                0.9999921107383573,
                0.0003799844699246425,
                0.9999952149037944,
                0.9999785550490333,
                0.9999921107345936,
                0.9999852610233005,
                0.9999646437619848,
                0.99999577716555,
                0.9999970976873234
            ],
            [
                0.00010889689561723936,
                0.00020342692141935305,
                0.0001233945301513246,
                3.1201926203177517e-05,
                5.829127934684904e-05,
                5.8291279382897555e-05,
                3.5356263294359356e-05,
                0.00012339455931948047,
                6.144177530671741e-06,
                0.9998415637462529
            ],
            [
                0.00020342697151438024,
                0.9998601778601696,
                0.9890130597678383,
                0.9999687980737645,
                0.999959936298269,
                0.0008040857981830119,
                0.9999852610233041,
                0.9992903295529746,
                0.9999852610110042,
                0.9998204720350465
            ],
            [
                0.9975273772620146,
                0.9999832985741774,
                0.9999832985841337,
                0.9999910603068949,
                0.9999938558239339,
                0.9999938558275967,
                0.9999785550567081,
                0.9999910603058276,
                0.9999810748427379,
                0.9999687980923763
            ],
            [
                0.0002305067143001166,
                0.0002034269964227949,
                0.000139822073027029,
                0.00029595719532559534,
                3.535624226936835e-05,
                0.00023050675092749405,
                0.00033535018609918803,
                4.539785238670836e-05,
                9.610238038856615e-05,
                0.0003799845723031714
            ],
            [
                5.144220743347863e-05,
                7.48462358997521e-05,
                2.753569765708558e-05,
                2.4300249410794055e-05,
                5.144219520863158e-05,
                0.00010889693470017384,
                0.00037998446931662835,
                3.535625491265802e-05,
                0.00010889693480950339,
                0.9999251537913838
            ],
            [
                0.00012339457428777782,
                0.9999785550439235,
                0.9999832985821424,
                0.9999756997534971,
                0.9999599362982876,
                0.9999852610162754,
                0.9999599362887278,
                0.9999646437408973,
                0.9999921107345945,
                6.605216807535285e-05
            ],
            [
                0.9998911030390163,
                0.9995121428929137,
                0.9999756997679626,
                0.99640639657905,
                0.9999251537729239,
                0.9999417087138048,
                0.9999151889891291,
                0.00029595709549038753,
                0.9999417087555696,
                0.9940889312504714
            ],
            [
                0.9999898700041928,
                0.999996273358939,
                0.9999957771665562,
                0.999986992865338,
                0.9999938558232014,
                0.9999869928715429,
                0.9999952149072169,
                0.00033535007705830477,
                0.999997097688361,
                0.999981074842751
            ],
            [
                7.484622714958306e-05,
                0.0005527786578264075,
                0.0024726229200318596,
                0.00015843617791809345,
                0.00023050663060245616,
                0.0001233946329706308,
                0.9998204720987822,
                0.00020342697136639773,
                0.0011695101761182633,
                0.00020342704457039024
            ],
            [
                0.00023050668541271647,
                1.892515714519231e-05,
                0.00012339461840449737,
                5.829128634789482e-05,
                0.0001584361784321496,
                0.9999898700114439,
                5.829124466437278e-05,
                0.00012339460332847028,
                5.829127242638312e-05,
                7.484622697043032e-05
            ],
            [
                0.9999785550490354,
                0.9902915238945914,
                0.9999251537373646,
                0.0002034268988431508,
                0.00023050679331626257,
                0.0009110513752806849,
                9.610243769112924e-05,
                0.9999945777784449,
                0.0007096704344766395,
                0.0005527786996320255
            ],
            [
                0.9999938558224696,
                0.9999967112497586,
                0.0002611902443987379,
                0.0007096703257479178,
                0.999995214906076,
                0.9999930377437508,
                0.9999910603005027,
                0.9999970976869772,
                0.9999898700126436,
                0.999988521227772
            ],
            [
                0.9999151889285257,
                0.9999869928653436,
                0.9999756997592791,
                0.999989870007817,
                0.9999832985741774,
                0.9999546021097657,
                0.999903897573785,
                0.9999756997476837,
                1.4738988997044936e-05,
                0.9999756997679837
            ],
            [
                0.9993736659109342,
                4.0063677786460955e-05,
                3.726640369211293e-06,
                0.9999687980775371,
                3.535624646754865e-05,
                1.3007130013288297e-05,
                0.998498817583248,
                0.002472623042927546,
                4.0063692167994334e-05,
                0.00010889692186108131
            ],
            [
                0.9999910603005011,
                0.9999885212318776,
                0.00048785715661500375,
                0.999796573003672,
                0.0003799845132263017,
                0.000139822073027029,
                0.00029595705662923636,
                0.9924227589632509,
                0.9999910603058411,
                0.9579122752383734
            ],
            [
                1.300713466281145e-05,
                0.9999038975507789,
                3.120192622644674e-05,
                0.9959298620047403,
                5.8291251595862005e-05,
                0.9989677688657699,
                0.9997965729550065,
                0.9971990724527979,
                0.9669140248290711,
                0.9999599363030979
            ],
            [
                0.9999646437535364,
                0.999915188979021,
                0.9999339478317925,
                5.8291286299547405e-05,
                8.481108141090879e-05,
                0.9999151889790765,
                0.9999832985781578,
                0.9999339478711133,
                0.9971990723988218,
                0.9998601779261898
            ],
            [
                3.535626333641835e-05,
                0.9991959140619856,
                0.0024726228103445942,
                2.430024941804299e-05,
                0.00013982207367803525,
                0.000552778628047946,
                1.6701423829123058e-05,
                0.9953904268377874,
                0.00012339455977192267,
                0.00023050668516455447
            ],
            [
                8.481102110555223e-05,
                0.8933094131553264,
                0.9999251537727775,
                5.8291272448012225e-05,
                0.0001584361599676224,
                0.0010322312085370362,
                0.9997388097850195,
                6.605217608630573e-05,
                2.144495607336692e-05,
                0.9990889488267921
            ],
            [
                9.610241481708411e-05,
                0.9999546021097508,
                0.00010889689587392605,
                0.00017952805100596386,
                0.0002959571664014533,
                0.0005527786642580407,
                0.0001584362919141207,
                0.00026119027558770794,
                9.610244924211859e-05,
                0.00043055718195421285
            ],
            [
                0.9875683520396019,
                4.5397868633071815e-05,
                0.999981074849511,
                0.0002611903691774394,
                0.9999869928715388,
                0.0003799844332669229,
                0.00013982212348408955,
                0.9999756997592965,
                5.829127243528923e-05,
                0.9999785550439346
            ],
            [
                0.9999952149049351,
                0.9999852610233037,
                0.999989870006606,
                0.9999921107374189,
                0.9997965730771127,
                0.9999832985722077,
                0.9999724643155851,
                0.9999898700066072,
                0.9999869928746422,
                0.9999810748585486
            ],
            [
                0.9997694933679824,
                0.9997965729301365,
                0.9991959139753744,
                0.9998601779429633,
                0.9991959139883287,
                0.9999687980886555,
                0.9997694932303799,
                0.9997388096912398,
                0.9997694931761866,
                0.9998415637651623
            ],
            [
                0.0003799845202239918,
                0.9999945777829696,
                0.9999869928653361,
                0.9999852610127709,
                0.9999957771650461,
                8.4811020824804e-05,
                0.9999910603005002,
                0.9999417087206043,
                0.9999756997592754,
                0.999993855826864
            ],
            [
                6.605215234370881e-05,
                7.48462360342528e-05,
                0.9999869928730871,
                0.9999930377445814,
                0.9999810748495068,
                6.605212882650343e-05,
                0.00010889692187534167,
                0.9999957771645424,
                0.9999785550464846,
                0.9999785550413738
            ],
            [
                0.00017952802582882083,
                0.9999910603005006,
                0.00010889689587392605,
                0.999975699750582,
                0.99986017797601,
                0.9999151889184176,
                0.9999687980737704,
                0.9999339478318213,
                0.991422513683421,
                0.9997965731012042
            ],
            [
                0.9999930377429216,
                0.9999756997592735,
                0.999995777166556,
                0.9999852610180324,
                0.00017952798634571828,
                0.9999930377404317,
                0.9933071486423112,
                0.00017952792170378005,
                0.999992110736476,
                0.000804085871278772
            ],
            [
                0.9999151889489568,
                0.99998987001023,
                0.9999810748540237,
                0.9999785550413794,
                0.00010889686982498208,
                8.481103120631853e-05,
                0.9997965730274053,
                4.5397874009662535e-05,
                0.00037998452481173507,
                0.0004305570742853037
            ],
            [
                0.9996646497308322,
                0.9999938558232012,
                0.9998911030394425,
                0.9999485577741227,
                0.9998911031038139,
                0.9999785550490354,
                0.9999417087414969,
                0.996827316941763,
                0.9996200154697935,
                0.9999485578048176
            ],
            [
                0.9999785550465915,
                0.000379984472953658,
                0.9999756997679731,
                0.00013982204002712035,
                6.605216037292109e-05,
                0.00010889690904258862,
                0.00037998443279156657,
                0.0011695101221303632,
                0.9999910603068971,
                0.00043055698034432754
            ],
            [
                0.9999785550541526,
                0.9999810748585316,
                0.9999921107402373,
                0.9999599362935498,
                4.0063677818524845e-05,
                0.9999599362887179,
                0.9999910603015675,
                0.0004305571354596783,
                0.9999687980812203,
                0.9999339478239194
            ],
            [
                0.9999869928746383,
                0.99997246431876,
                0.9991959139164956,
                9.61024305092546e-05,
                0.9999038975393573,
                0.999991060302632,
                0.999991060306894,
                0.9999646437366535,
                0.9999810748495063,
                0.9999910603058283
            ],
            [
                0.9999952149060767,
                0.9999952149066462,
                0.9999832985781587,
                0.9999957771670592,
                0.999975699765091,
                0.9998766053810748,
                0.9999957771665557,
                0.9999251537549744,
                0.9998766053663058,
                0.9971990726439905
            ],
            [
                0.9999599363078501,
                0.9999756997534839,
                0.999948557780254,
                0.9999885212318773,
                0.9999930377454107,
                0.9999869928684365,
                0.9999832985781634,
                0.9999832985821429,
                0.9998204719918885,
                0.9998415637273135
            ],
            [
                0.9978172835227079,
                0.999983298574179,
                0.9997040429729235,
                0.9982992775095033,
                0.9998766054105196,
                0.9999339478239136,
                0.9998601778596691,
                0.9998415638214249,
                0.9999151889284097,
                0.9999756997679602
            ],
            [
                0.999933947823881,
                0.9997965730852872,
                3.120191879981973e-05,
                0.0007096702451714424,
                0.9999852610145177,
                0.9998204720345321,
                0.9999785550413688,
                0.9999810748540204,
                0.9997694933404095,
                0.9999417087345258
            ],
            [
                0.9994472213276703,
                0.00013982202373365993,
                0.00020342702061497718,
                0.0007096703435804178,
                8.481104123982985e-05,
                0.00020342701831828838,
                5.8291251531398806e-05,
                8.481106149875219e-05,
                0.00015843625386472175,
                0.00026119033805685504
            ],
            [
                0.9999724643056629,
                0.9999898700126456,
                0.9982992779473056,
                8.481100989475198e-05,
                0.0004878571024031516,
                5.14422257009529e-05,
                0.0002305067641605692,
                5.8291251603919903e-05,
                0.9840936100958999,
                6.605214447116035e-05
            ],
            [
                0.9999957771655489,
                0.00013982203965075748,
                0.9999980052700409,
                0.9999938558239341,
                0.9990889488284875,
                0.999993037740431,
                0.9999339478555087,
                0.9999910603058285,
                0.9999977396748939,
                0.00010889693485386902
            ],
            [
                0.9999869928684356,
                0.9999810748540177,
                0.9999898700066079,
                0.9999898700126462,
                0.9999938558253986,
                0.9996646499864675,
                0.9999898700102291,
                0.9999810748449939,
                0.9999869928730887,
                0.9999938558224687
            ],
            [
                0.9959298615290672,
                1.3007133109421283e-05,
                2.4300246517938825e-05,
                0.9999687980886374,
                0.9996200155672857,
                0.8175744695262777,
                0.9998911031041562,
                0.9914225136121421,
                0.9999151889184954,
                0.9959298624445492
            ],
            [
                3.120190392670705e-05,
                0.9999646437535129,
                0.9998601779094202,
                0.9999832985761683,
                0.9999687980886737,
                0.9997965729550508,
                0.999978555054148,
                0.999933947823931,
                0.9999599363126164,
                0.9999251537996939
            ],
            [
                6.962253759670401e-06,
                5.829127245988703e-05,
                0.9999921107336535,
                3.535625487947387e-05,
                3.535626331056557e-05,
                2.1444945851269378e-05,
                3.120191133221797e-05,
                0.9975273765780484,
                0.00010889693499964177,
                5.82912723055146e-05
            ],
            [
                0.9999832985781708,
                3.5356254914330094e-05,
                0.0009110511727840525,
                0.9995694429198027,
                0.9999646437324566,
                6.605212098183028e-05,
                0.9999852610215596,
                0.000487857102147703,
                0.997817283512566,
                0.9998766054547386
            ],
            [
                0.001169510197740622,
                3.535625488178903e-05,
                0.00010889689579628627,
                4.0063706471413514e-05,
                0.9999832985701994,
                0.0003799845711534717,
                0.9999785550515917,
                4.53978686205205e-05,
                0.00023050676876833554,
                0.00037998447286521957
            ],
            [
                0.9998601779760303,
                0.9999485577618926,
                0.00026119033599734893,
                0.9999151889486094,
                0.9999599363221545,
                0.9998766053811593,
                0.0001584361599422654,
                0.0006263340116422981,
                0.9999724643023574,
                0.00015843615913314568
            ],
            [
                0.9999687980886555,
                6.605215236389237e-05,
                0.9999339478711452,
                0.000552778728928118,
                0.9999546021422655,
                0.9999546021422155,
                0.9999417087553356,
                0.9999832985781617,
                0.9999756997505828,
                0.000139822139856903
            ],
            [
                0.9999151889892328,
                0.999975699753489,
                0.00029595707133671335,
                0.9998911031039359,
                1.3007128259786458e-05,
                7.484625847518208e-05,
                0.000626334148272075,
                9.610240308920897e-05,
                0.00033534998003770613,
                0.0002611903975697511
            ],
            [
                4.539786862811735e-05,
                0.9999646437408835,
                0.9999339478710831,
                0.9980732654056242,
                0.9999339478317487,
                0.9998204720556789,
                0.9999417087206214,
                0.9997040427953574,
                0.9999485577986293,
                6.605212878421408e-05
            ],
            [
                0.9999687980923763,
                0.00013982204016952795,
                0.00017952800661489394,
                0.00026119033767687237,
                0.999972464312199,
                0.0001233946185571069,
                0.9999869928715378,
                0.9999810748472515,
                5.82912445736154e-05,
                0.00023050668516455447
            ],
            [
                7.484620930074429e-05,
                0.9998601779762216,
                9.610242630304791e-05,
                7.484620043459196e-05,
                4.539785777882115e-05,
                0.00010889688301423978,
                0.9998911031167798,
                0.00037998452146212976,
                0.00013982212390520934,
                0.0001584361599422654
            ],
            [
                6.605217608630573e-05,
                0.9999921107336541,
                0.9999546021259847,
                0.9999546021205543,
                0.9999898700041907,
                0.9998601779106836,
                0.9999646437366535,
                0.999986992873089,
                0.999993037745411,
                0.9999810748472552
            ],
            [
                0.9999038976195234,
                0.9998766054546884,
                0.999704042936749,
                0.9997040430070916,
                0.9997040430070916,
                0.9998204720557833,
                0.9995121429405406,
                0.9998204719913635,
                0.99995993629351,
                0.9999251537996269
            ],
            [
                0.0001795279655750396,
                0.0001584362540675781,
                0.0001584361786303955,
                8.481108176384966e-05,
                0.00033535013816451476,
                0.00048785709414365003,
                8.481102096980583e-05,
                0.9999646437535213,
                0.9706877673407196,
                0.0004878570432526349
            ],
            [
                0.9999869928668863,
                0.9992903297320839,
                0.00010889694766127333,
                0.00015843619725398262,
                0.9999724643056286,
                0.9999599362983018,
                0.9999810748562722,
                0.9999646437450779,
                0.9999869928699903,
                0.9997694932674767
            ],
            [
                0.9999599363221917,
                0.9999885212359807,
                0.9999810748495063,
                0.9999852610162742,
                0.999986992869992,
                0.9984988175288045,
                0.9999852610145229,
                0.9999910603068937,
                0.9999832985741823,
                0.9998601779096806
            ],
            [
                0.9999151889290157,
                0.9999930377429207,
                0.9999251537552875,
                0.9999869928684372,
                0.999991060306896,
                0.9997965730277251,
                0.0004305571239362491,
                0.9998204720824284,
                0.9998911031300816,
                0.9999756997679626
            ],
            [
                0.0004878570878142039,
                0.9998204719702453,
                0.9999646437366552,
                0.9997388097567032,
                5.1442238087492836e-05,
                6.605212887119557e-05,
                0.9999921107364768,
                0.9999599363031332,
                0.9998415638406248,
                0.9989677690810078
            ],
            [
                6.605216819020694e-05,
                4.0063701710213663e-05,
                3.5356259128846735e-05,
                2.4300237828059798e-05,
                0.9999852610215467,
                0.00013982214041839615,
                6.605212095395777e-05,
                6.605212091166841e-05,
                4.006369693910372e-05,
                0.00015843619736924185
            ],
            [
                0.00015843615897639317,
                0.0002305068197354689,
                0.999769493314527,
                0.00023050674058517224,
                0.9999756997650677,
                0.880797085800514,
                0.9669140187510509,
                2.7535681235270997e-05,
                0.00023050668607671747,
                0.00013982205633889227
            ],
            [
                0.9998766054696763,
                4.539787398489018e-05,
                3.120192251336002e-05,
                0.9999151889185891,
                0.9980732652457815,
                0.9975273771121278,
                0.9999646437577393,
                0.9998601778764467,
                0.9933071494781617,
                0.9999339478554106
            ],
            [
                0.9999832985801492,
                0.99867497739608,
                5.1442225844299154e-05,
                0.9999417087066922,
                0.999972464315468,
                0.9999151889283845,
                0.9999646437535068,
                0.99979657307584,
                0.9999910603068946,
                0.9999038975622977
            ],
            [
                0.9999852610162742,
                0.9999930377412636,
                0.9999785550413712,
                0.9999599363127746,
                0.9999785550516006,
                0.9999869928684378,
                0.9999921107383563,
                0.9999832985761732,
                0.9999869928730921,
                0.0002611903314983539
            ],
            [
                0.9999599363030631,
                0.9999646437493123,
                0.999891103038858,
                0.999994577779739,
                0.9997388097539673,
                0.9947798742218074,
                2.4300237824258528e-05,
                0.9999546021097719,
                0.9998911031042355,
                0.9999151889182682
            ],
            [
                0.9999832985841324,
                0.9999417087206722,
                0.0002034270680167461,
                6.605212089917383e-05,
                0.9998601779266475,
                0.9999930377462427,
                0.001169510320131339,
                0.0002959572361328372,
                4.539787401825028e-05,
                0.00033535010459170985
            ],
            [
                3.5356259116499136e-05,
                0.9999852610215467,
                0.0001088969475123316,
                0.9998204720993386,
                0.9998204720135786,
                0.9999417087345043,
                0.9999810748472552,
                0.9999485577679945,
                0.9999599363127072,
                2.7535697639856078e-05
            ],
            [
                0.9999921107383588,
                0.9999832985721961,
                0.9999910603036963,
                0.9999724643122014,
                0.00037998456983795003,
                0.9999952149037953,
                0.0010322311907706,
                0.9998415637649848,
                0.999988521234614,
                0.9999832985841349
            ],
            [
                0.9999546021259557,
                0.0005527785718354767,
                0.9999869928653368,
                0.9999898700126468,
                0.9999251537371668,
                0.999991060303697,
                0.9999810748540223,
                0.9999546021313874,
                0.0009110510249647182,
                0.9999945777810317
            ],
            [
                0.9999921107364742,
                0.9999687980849222,
                0.9997694932851969,
                0.9999485577863694,
                0.9999945777790913,
                0.9999687980737616,
                0.9999869928684351,
                0.9999810748427375,
                0.9999646437450779,
                0.9999756997534754
            ],
            [
                0.9999970976890529,
                0.9999852610197926,
                0.9999756997534923,
                0.9999898700090223,
                0.9999852610233165,
                0.9999869928653441,
                0.9999756997534912,
                0.9999869928761898,
                0.9996200155631071,
                0.9999832985841385
            ],
            [
                0.9998204720134297,
                0.9999921107383567,
                0.9999810748450086,
                0.9999687980774881,
                0.0004305570738594378,
                0.9999687980774823,
                0.9999898700114368,
                0.9999938558253981,
                0.9999646437493086,
                0.9999339478555288
            ],
            [
                2.4300252313904224e-05,
                0.00023050668565417136,
                1.892514823488397e-05,
                0.0004878570485886697,
                7.484621811625572e-05,
                1.012998977088337e-05,
                0.0001584361971364182,
                0.0007096704902032117,
                0.9999810748472596,
                0.9999038975966373
            ],
            [
                0.9999938558232027,
                0.9999546021097344,
                0.9975273772063095,
                0.9997040429366628,
                0.9999832985741774,
                9.610242629256036e-05,
                0.9999832985841427,
                0.00026119020833079626,
                0.9999910603047638,
                0.9999646437619694
            ],
            [
                0.999796573032635,
                0.00026119033728929004,
                0.9996646500144984,
                0.9999938558253989,
                8.481103116559461e-05,
                0.9999930377437518,
                0.9999810748517685,
                0.9999646437450961,
                0.9999869928715378,
                0.9992903296841178
            ],
            [
                0.9999785550592677,
                0.9999930377462424,
                0.9999756997650924,
                0.9997388096303742,
                0.9999724642957987,
                0.9999038975508111,
                0.9999885212291416,
                0.9999832985721891,
                0.9999938558275958,
                0.9999251537817575
            ],
            [
                0.9999339478238608,
                0.9998415638399794,
                0.9999646437577306,
                0.9997965729789262,
                0.9999339478633246,
                0.9994472213219783,
                0.9998911031038282,
                0.9992903297201543,
                0.9999546021476186,
                2.753569437686898e-05
            ],
            [
                0.9995121427847453,
                0.999993855822471,
                0.999992110734595,
                0.9999810748472552,
                0.9999967112505427,
                0.9999952149049358,
                0.9999957771650455,
                0.99997855505926,
                0.9997040427605434,
                0.0004878571840615302
            ],
            [
                0.9995121428393545,
                4.0063711217164954e-05,
                7.48462271283461e-05,
                8.481108142201531e-05,
                0.0001584361975121633,
                8.93969630348202e-06,
                1.6701419850389357e-05,
                7.484626278955236e-05,
                0.00012339457444038733,
                0.9998204719935575
            ],
            [
                0.00023050665855085817,
                0.000261190307164264,
                9.610242625969935e-05,
                0.00020342706760239496,
                0.9999546021476268,
                0.00023050665794722096,
                0.00020342704461774464,
                0.0001795280072339397,
                0.9999599362982811,
                5.829127929680522e-05
            ],
            [
                0.9999785550515911,
                0.9999785550413652,
                6.605214458937832e-05,
                0.9999810748585336,
                0.999975699767967,
                0.9999885212277709,
                0.9999910603058304,
                0.9998911030778711,
                0.9999832985801526,
                0.9999756997563889
            ],
            [
                2.753569108573408e-05,
                1.3007131560621253e-05,
                1.3007131563815288e-05,
                0.00020342694481834036,
                1.1478770858706246e-05,
                4.539787940243849e-05,
                4.539788481371178e-05,
                1.0129990978644356e-05,
                7.484621820011444e-05,
                4.539785231965789e-05
            ],
            [
                0.9999485578047674,
                0.9999151889183892,
                0.9999599363078577,
                0.9999687980998182,
                1.4738988997044936e-05,
                0.9999756997534923,
                0.9998204720131397,
                0.9999485578047674,
                0.9999687980923747,
                0.999820472076904
            ],
            [
                0.9997965730762958,
                0.9999339478790701,
                0.9999599363078239,
                0.00023050679297420125,
                2.430023493228869e-05,
                0.9999945777790916,
                0.0002959570948015127,
                0.0003353502641332993,
                0.00023050676672267507,
                0.0008040860630207206
            ],
            [
                0.9998415637458196,
                0.9997388095670386,
                9.610241477233725e-05,
                0.9999151889689584,
                0.9999339478396323,
                0.9971990730588917,
                0.9999485577925789,
                0.9998415637081136,
                0.9997694933149629,
                0.9997388096935197
            ],
            [
                0.9999756997650686,
                6.605213668174985e-05,
                0.9995121428315209,
                0.9997694933145873,
                0.9996646499346009,
                0.999941708741432,
                0.9968273168195283,
                9.61024376337973e-05,
                0.00015843619457535789,
                0.9999756997621788
            ],
            [
                2.1444943298320236e-05,
                4.0063687394553603e-05,
                7.889262585082652e-06,
                8.481104118676534e-05,
                7.889265406567165e-06,
                2.1444956077189637e-05,
                7.484621816308591e-05,
                1.892515725225098e-05,
                9.610238052909926e-05,
                5.144221973505439e-05
            ],
            [
                0.000108896896105261,
                1.1478766755985128e-05,
                2.753570421481532e-05,
                0.00037998456752749596,
                4.539787399744151e-05,
                0.00012339458910885372,
                1.8925155008528632e-05,
                4.539787403443489e-05,
                2.753570420970657e-05,
                1.670142780381727e-05
            ],
            [
                0.9999485577741262,
                0.9999945777816781,
                0.9999962733593835,
                0.9999756997592719,
                0.9999646437450925,
                0.9999967112505427,
                0.999988521229139,
                0.9999945777829696,
                0.9999910603005039,
                0.9991959142154727
            ],
            [
                3.120191135412508e-05,
                0.9998911030393285,
                0.00013982205676204624,
                0.00010889687002145827,
                0.0001398221231687583,
                5.829125158695591e-05,
                6.605216812244783e-05,
                3.5356259112640515e-05,
                3.1201918783020485e-05,
                0.00013982208994301997
            ],
            [
                7.484625395987771e-05,
                0.9999952149072169,
                0.004609571134574544,
                0.00015843627250675924,
                0.9999945777790916,
                0.9999957771665559,
                0.00020342702089318432,
                0.00020342689622090203,
                0.9999724643023616,
                0.00012339453019082351
            ],
            [
                0.00010889692187534167,
                0.0001233946039963614,
                0.001032231107100294,
                0.0001233945596211086,
                0.00023050668595599,
                0.00013982204030786675,
                0.0002305067614710288,
                0.00017952796502913025,
                8.481101075735849e-05,
                0.00017952805041042603
            ],
            [
                0.00012339458908910424,
                0.999993855826865,
                0.9999785550464971,
                0.9998766053666451,
                0.9999869928715392,
                0.9998601779766834,
                0.999989870007814,
                0.0001795279835874389,
                0.9999724643056793,
                0.9999885212346126
            ],
            [
                0.9995694428623233,
                0.9999687980886387,
                0.9890130559930915,
                0.9999038975966815,
                0.999994577778445,
                0.0010322311099813372,
                0.9999251537728863,
                0.00023050676799031385,
                0.0007096704606062095,
                0.9999646437409176
            ],
            [
                4.006371122561817e-05,
                0.0004305569946734564,
                0.9999938558232011,
                0.9999970976890539,
                0.9999687980849312,
                0.9999832985721853,
                7.484623599667974e-05,
                0.00029595719934690374,
                0.9999910603058294,
                0.9999921107364774
            ],
            [
                0.9999945777784456,
                0.9999930377462424,
                0.9999980052702786,
                7.48462446940297e-05,
                0.9999885212291413,
                0.9999687980737735,
                0.999991060301568,
                0.9999898700090254,
                0.9999898700126459,
                0.9997965730278641
            ],
            [
                0.9998204720126225,
                0.9994472214140793,
                0.00015843627212870875,
                3.2887490653408545e-06,
                0.9994472213230394,
                0.9998911030781548,
                0.9998911030388833,
                5.1442238133528324e-05,
                0.00015843623459106567,
                0.9999599363173896
            ],
            [
                0.9999810748427478,
                0.999290329625543,
                0.9999756997650704,
                0.998830489490435,
                0.9914225147922051,
                0.9999810748472546,
                0.9999885212359804,
                0.9999945777790924,
                0.9999832985722116,
                0.9978172833426895
            ],
            [
                4.5397863184146494e-05,
                0.0004305570797965082,
                0.9999852610197889,
                0.0002959571307521722,
                0.00010889687012128086,
                0.0003353501451698258,
                0.00023050668565417136,
                0.0005527785170058142,
                0.00023050679617348047,
                0.0003799845704570191
            ],
            [
                0.9999885212264085,
                0.9999756997505811,
                0.0009110512106130903,
                0.9999832985761778,
                0.9999852610180333,
                0.9999251537995159,
                0.9999832985762027,
                0.0011695101961087457,
                0.0002611904002220309,
                3.120190764966677e-05
            ],
            [
                0.999991060302633,
                0.9999957771650457,
                0.9997040430152031,
                0.999985261023302,
                0.9999885212359829,
                0.9964063979804896,
                0.9999646437366749,
                0.9999898700078218,
                0.9999921107336541,
                0.999983298580161
            ],
            [
                0.7981867681382279,
                0.9999785550516015,
                0.999981074851767,
                0.9999599363174162,
                0.999954602120557,
                0.0007096703539414307,
                0.9999646437493142,
                0.9999869928715378,
                0.9999724643023823,
                0.00012339461873844297
            ],
            [
                5.144223811518898e-05,
                2.4300234924597754e-05,
                0.9998766054257122,
                0.9840936097460197,
                0.9971990725132773,
                0.9998204719498612,
                2.1444945848226808e-05,
                6.60521445480501e-05,
                1.3007128461507534e-05,
                0.9997694933132795
            ],
            [
                3.535624648542694e-05,
                0.9991959138993324,
                0.999933947855464,
                0.9579122741870426,
                0.9998204719703889,
                0.9997388096301462,
                0.9993736657658879,
                0.00033535022830668334,
                0.9999417087276105,
                2.4300232039788792e-05
            ],
            [
                0.9999898700066072,
                0.9999756997592866,
                0.9999599363030898,
                6.60521760632388e-05,
                0.9999251537818069,
                0.9999810748450123,
                0.9998601778594107,
                0.9999151889892426,
                0.999964643736683,
                7.48462538068627e-05
            ],
            [
                1.1478768123823146e-05,
                4.0063687383622725e-05,
                3.5356250689524286e-05,
                2.430023203572232e-05,
                1.1478770861859053e-05,
                3.5356250691324983e-05,
                1.4738983723235332e-05,
                1.4738987238893715e-05,
                3.7266410608720178e-06,
                1.1478770858706246e-05
            ],
            [
                0.9998911030524037,
                0.9964063979421397,
                0.00012339461846195036,
                0.00017952794344612002,
                6.605213669905004e-05,
                0.9999852610233136,
                5.829124453120541e-05,
                0.0024726236999027163,
                0.9999687980737616,
                0.9997040429362151
            ],
            [
                0.999948557780272,
                0.9998415637834978,
                0.9999485577618665,
                0.9999485577802578,
                0.9999599362934992,
                0.9999687980774823,
                9.610241463110493e-05,
                0.9999485577741123,
                0.9997040429019436,
                0.99994170872073
            ],
            [
                0.9999852610162746,
                0.999876605410604,
                0.9999785550464919,
                0.999993855822469,
                0.9999898700114371,
                0.9999938558246662,
                0.9999869928699935,
                0.999991060304764,
                0.9999810748517617,
                0.9999898700102289
            ],
            [
                0.000139822140216991,
                0.00013982203985419688,
                7.484620903119845e-05,
                0.9947798731916876,
                0.9990889487677703,
                9.610242591710606e-05,
                7.48462449695656e-05,
                0.9989677691571153,
                3.5356267550807374e-05,
                4.006370154289834e-05
            ],
            [
                2.7535684494049335e-05,
                9.610239184236401e-05,
                1.892514823426434e-05,
                0.0001795279001912992,
                3.535623624567504e-05,
                0.00013982210655588814,
                0.00015843617816474817,
                7.484626275905827e-05,
                8.4811051118468e-05,
                0.00012339455873597364
            ],
            [
                3.535624648542694e-05,
                0.9999930377445807,
                0.999986992869989,
                0.9999938558253997,
                0.9999251537907733,
                0.9999038975971429,
                0.0010322311233061632,
                0.9999485577925429,
                0.9999646437408835,
                0.00010889690891266076
            ],
            [
                0.9999687980887367,
                0.9999810748517638,
                0.9999756997679742,
                0.9999852610233055,
                0.9999869928715404,
                0.9999898700078172,
                0.9999339478238862,
                0.9999417087553695,
                0.9999646437324474,
                0.9999832985761893
            ]
        ]
    },
    {
        "q_id": "10419_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                2.9023133690188264e-06,
                6.96225707422208e-06,
                1.8925141444270707e-05,
                5.422218322763051e-06,
                6.9622595668378125e-06,
                1.0129990975235516e-05,
                1.147876675124548e-05,
                1.3007126901777358e-05,
                5.4222202617511845e-06,
                2.2603251060985603e-06
            ],
            [
                4.2228349543420954e-06,
                6.1441731324657274e-06,
                5.422218320642526e-06,
                1.9947299591100915e-06,
                3.726640171768275e-06,
                2.561281599914358e-06,
                5.4222202609325635e-06,
                8.939694165298253e-06,
                6.14417386791016e-06,
                1.0129995805359584e-05
            ],
            [
                1.1478772227338172e-05,
                7.889266345196678e-06,
                1.0129992183070348e-05,
                1.3007134659924986e-05,
                8.939695234983602e-06,
                1.0129990974903845e-05,
                6.144176798255599e-06,
                5.422218969029887e-06,
                1.8925145967719952e-05,
                6.962254588281262e-06
            ],
            [
                0.2942149783515162,
                0.0001398221230405914,
                5.829126548301662e-05,
                0.9995694429697667,
                0.9997694931785476,
                0.03308597755446608,
                0.9999646437324624,
                0.005911069928867764,
                3.1201903900940664e-05,
                0.7772998508568417
            ],
            [
                0.9999898700042074,
                0.9999945777823296,
                0.9999977396757024,
                0.999997097686978,
                0.9999957771680675,
                0.999988521233273,
                0.9999599362985095,
                0.9999945777797459,
                0.9999962733593859,
                0.9999930377437558
            ],
            [
                1.1478766754377407e-05,
                8.939694169330997e-06,
                2.1444945853375776e-05,
                6.1441775290176756e-06,
                4.222835457595211e-06,
                7.889261643899223e-06,
                3.28874906467085e-06,
                6.962257908196617e-06,
                6.144173865775523e-06,
                1.300712380997554e-05
            ],
            [
                0.9999967112505446,
                0.9999921107402484,
                0.9999898700114536,
                0.9999957771680671,
                0.9999962733620492,
                0.9999962733607202,
                0.9999930377420989,
                0.9999980052700416,
                0.9999970976890544,
                0.9999986290429569
            ],
            [
                0.99979657305501,
                0.00015843627250675924,
                4.006368260814213e-05,
                0.022977367275662783,
                0.005911069778372042,
                0.00020342704367657568,
                0.010986940556000541,
                0.0013250221383853645,
                0.9997694932047924,
                0.014063628386256936
            ],
            [
                0.00026119040051841743,
                0.03732688694254029,
                0.037326890289116836,
                0.0004305571377643641,
                0.0005527785201251556,
                0.020332351784377617,
                0.0013250222172581938,
                0.0035936030041029887,
                0.0009110512556476611,
                0.99966464993624
            ],
            [
                2.5612828209811664e-06,
                3.7266392833663395e-06,
                1.4738983707256776e-05,
                1.147876675341695e-05,
                2.260325105981383e-06,
                4.785093923324944e-06,
                1.8925145965998754e-05,
                7.88926164299515e-06,
                4.222832940500659e-06,
                1.1478770858706246e-05
            ],
            [
                8.93969310367852e-06,
                1.0129993393319151e-05,
                6.144174601097106e-06,
                1.473898021151881e-05,
                1.0129990976451642e-05,
                2.7535697606699305e-05,
                6.962257906968191e-06,
                1.012998855982425e-05,
                1.0129990971550284e-05,
                3.726640616477725e-06
            ],
            [
                0.9999898700054631,
                0.9999938558268662,
                0.9999967112501525,
                0.9999977396754357,
                0.9999962733620507,
                0.999993855824668,
                0.9999974387174851,
                0.9999952149055101,
                0.999948557792854,
                0.9999977396759736
            ],
            [
                0.000804085871278772,
                0.09534945718704857,
                0.0008040861113771119,
                0.0011695100938445121,
                0.0011695104430660278,
                0.047425878394748384,
                0.04742586829697803,
                5.144221357715497e-05,
                0.07585817740967665,
                0.042087729567710105
            ],
            [
                8.939694169591174e-06,
                1.760343422832764e-06,
                7.889264464106214e-06,
                2.7535697624529836e-05,
                4.2228339467453066e-06,
                5.422217674780147e-06,
                8.939697368500698e-06,
                7.889261643899223e-06,
                1.3007128457012223e-05,
                1.147876948662936e-05
            ],
            [
                2.4300240719941574e-05,
                1.6701419848475466e-05,
                2.430024940080467e-05,
                8.939700564679507e-06,
                2.4300243618542217e-05,
                1.4738981961519057e-05,
                1.1478764018012839e-05,
                4.0063687367153544e-05,
                1.0129995808178788e-05,
                2.430024939585418e-05
            ],
            [
                0.9999832985781784,
                0.9999885212319211,
                0.9999832985722125,
                0.9999810748495546,
                0.9999898700102512,
                0.9999930377429281,
                0.9999852610145515,
                0.9999945777829775,
                0.999986992873113,
                0.9999832985821991
            ],
            [
                0.020332352749027827,
                0.00010889688237569208,
                0.3208213138121609,
                0.04208772866656941,
                0.0031726835302400254,
                9.610237977050019e-05,
                0.002472623569541371,
                0.007577242766585208,
                0.0002034270419422203,
                0.042087729417519974
            ],
            [
                8.93969523573161e-06,
                5.422219615395428e-06,
                2.1444958624445232e-05,
                1.8925145971919677e-05,
                1.6701415858775822e-05,
                4.222833947029514e-06,
                1.8925148211888738e-05,
                4.006368727183631e-05,
                3.5356259106723956e-05,
                4.785096775676685e-06
            ],
            [
                0.9996200155639362,
                0.012431648703604352,
                0.01098694327827096,
                0.9999724643023706,
                0.9999339478397699,
                0.9998601779596474,
                0.029312230062383798,
                0.014063630323292923,
                4.5397852361605714e-05,
                0.2942149783515162
            ],
            [
                1.4738981965808603e-05,
                8.939700564890901e-06,
                7.88926634305847e-06,
                4.7850950646797465e-06,
                1.1478765382927399e-05,
                1.0129993392600532e-05,
                6.144176065828368e-06,
                8.939695235243779e-06,
                6.1441753327418334e-06,
                1.3007128456539035e-05
            ],
            [
                0.9998204719497045,
                0.9994472213527537,
                0.025957359976362126,
                0.2018132246607271,
                0.9998911030531626,
                0.9999485577681622,
                0.9990889488377064,
                0.9986749774837337,
                0.9999756997477014,
                0.9999852610162987
            ],
            [
                0.9995121429587626,
                0.999972464315492,
                0.9999832985761757,
                0.9999546021260151,
                0.9999151889291477,
                0.9984988180184466,
                0.9999852610145286,
                0.9999417087207032,
                0.9999869928730982,
                0.9998911030784605
            ],
            [
                5.422220261948442e-06,
                2.902313022802209e-06,
                1.7603434230312906e-06,
                6.144176797115634e-06,
                4.2228334433617906e-06,
                4.785094493932679e-06,
                6.144173133963328e-06,
                8.939693104637921e-06,
                6.962255416328664e-06,
                4.2228349536200574e-06
            ],
            [
                0.0015011821337157177,
                0.9995694429663222,
                0.9978172838563758,
                0.020332353824983888,
                0.0004305571144920476,
                0.01406362551944416,
                0.03308597946129595,
                0.014063625364481325,
                7.484626282603639e-05,
                0.11920291732853862
            ],
            [
                0.9999957771680681,
                0.9999945777823257,
                0.9999930377412711,
                0.9999938558224797,
                0.9999945777823284,
                0.9999945777803935,
                0.999981074854094,
                0.9999952149066549,
                0.9999885212332607,
                0.9999938558246717
            ],
            [
                1.4738988990369329e-05,
                8.939694169835089e-06,
                3.535623801986889e-05,
                6.144172403592939e-06,
                6.962254588281262e-06,
                2.1444940696066192e-05,
                2.753569106169292e-05,
                1.6701419845680582e-05,
                1.4738981966291175e-05,
                1.300712846217e-05
            ],
            [
                0.9999962733598308,
                0.9999898700078277,
                0.9999938558246689,
                0.9999952149043733,
                0.9999962733602736,
                0.9999945777810344,
                0.9999921107402487,
                0.999991060306899,
                0.9999852610233173,
                0.9999921107402396
            ],
            [
                6.1441760657054305e-06,
                2.9023112922291915e-06,
                4.222832939978334e-06,
                6.144175322448627e-06,
                3.2887506330851655e-06,
                2.260325106045111e-06,
                3.7266392835086923e-06,
                3.7266388390502134e-06,
                2.9023130224326608e-06,
                2.902311984683171e-06
            ],
            [
                0.9999921107364785,
                0.9999810748586391,
                0.9999785550516096,
                0.9999921107355437,
                0.999992110733659,
                0.999933947824696,
                0.9999910603069019,
                0.9999957771675695,
                0.9999970976876705,
                0.9999910603069049
            ],
            [
                4.2228349543420954e-06,
                1.1478766748656418e-05,
                3.7266397280960194e-06,
                3.2887494572095624e-06,
                5.422217029736466e-06,
                6.962253756460032e-06,
                6.144176065940129e-06,
                3.28874828059259e-06,
                3.2887506333812835e-06,
                6.96225707640032e-06
            ],
            [
                2.753568451218037e-05,
                1.0129993390942177e-05,
                3.72663839489005e-06,
                1.147876675162131e-05,
                6.144174600862407e-06,
                6.144173136131494e-06,
                2.7535697624529836e-05,
                4.7850956352353935e-06,
                1.3007128455024825e-05,
                1.1478768114051531e-05
            ],
            [
                0.9999910603069092,
                0.9999930377454183,
                0.9999852610146166,
                0.9999921107346001,
                0.9999885212318875,
                0.9999921107393013,
                0.9999945777829717,
                0.9999038975405256,
                0.9999869928685342,
                0.999994577782338
            ],
            [
                0.0006263341638296544,
                0.0003353502231649008,
                5.82912445884589e-05,
                0.017986206408961664,
                0.004070137228897571,
                0.00012339457400410372,
                0.007577239916207751,
                0.0002611903390220111,
                0.000158436234955285,
                0.20181321745968234
            ],
            [
                0.9999938558254122,
                0.999999057754957,
                0.9999970976866326,
                0.9999962733598294,
                0.9999970976873253,
                0.9999970976890544,
                0.9999945777784494,
                0.9999945777791024,
                0.999998239656791,
                0.9999967112493715
            ],
            [
                2.7535690948899807e-05,
                2.1444956077189637e-05,
                4.539786320396437e-05,
                8.481101075735849e-05,
                5.1442238118931704e-05,
                2.7535681241281285e-05,
                8.939698431942181e-06,
                4.0063701685728496e-05,
                8.481101066480413e-05,
                5.829124463044478e-05
            ],
            [
                8.939699499823059e-06,
                1.8925150482151187e-05,
                1.6701415859504925e-05,
                1.30071253611406e-05,
                1.1478773595970265e-05,
                5.144221973505439e-05,
                1.14787708580381e-05,
                2.4300249402042293e-05,
                1.670142382067764e-05,
                1.4738978451920916e-05
            ],
            [
                3.2887502407138142e-06,
                4.7850950646797465e-06,
                1.99472972104811e-06,
                8.939696301140427e-06,
                4.2228334433617906e-06,
                2.902311984783477e-06,
                3.7266388396128453e-06,
                1.3709573701637772e-06,
                1.7603430032662588e-06,
                2.90231198483099e-06
            ],
            [
                6.962256246693712e-06,
                1.1478769491598686e-05,
                6.962255418924822e-06,
                2.9023133687786197e-06,
                4.785096776251149e-06,
                1.3007126911335805e-05,
                6.144175332596544e-06,
                4.785096775842062e-06,
                1.8925150473958278e-05,
                2.561282515564741e-06
            ],
            [
                0.9999987901341725,
                0.9999952149055094,
                0.9999980052702804,
                0.9999921107355412,
                0.9999962733593846,
                0.9999967112493756,
                0.9999974387171794,
                0.9999957771675655,
                0.9999930377462518,
                0.9999910602994478
            ],
            [
                0.9997040428028919,
                0.9999785550516055,
                0.999891103118434,
                0.9999869928684512,
                0.9999910603026393,
                0.9999869928730993,
                0.9999910603047731,
                0.999986992866912,
                0.9999910603026524,
                0.9999646437536532
            ],
            [
                3.7266392839425286e-06,
                1.0129988563343644e-05,
                1.0129987356541108e-05,
                5.422220908314139e-06,
                7.88926258381982e-06,
                4.7850927830148924e-06,
                6.962254588724508e-06,
                6.962257079173776e-06,
                2.902312330849511e-06,
                3.7266397281434697e-06
            ],
            [
                0.9997965730058088,
                0.010986941153078383,
                0.0066928511843272415,
                0.08509903804604459,
                0.012431652911296078,
                0.005220126704333204,
                0.00010889687017515336,
                0.02297737233531229,
                0.005220124588477072,
                0.03732689015525376
            ],
            [
                0.9999970976883641,
                0.9999977396751639,
                0.9999898700078194,
                0.9999957771645536,
                0.9999930377404331,
                0.9999962733598317,
                0.9999970976890544,
                0.9999952149066478,
                0.9999646437410278,
                0.9999967112501523
            ],
            [
                2.5612831265909735e-06,
                1.4738981964843453e-05,
                2.5612812945260317e-06,
                7.889259763469998e-06,
                1.0129995806317745e-05,
                5.422218322565793e-06,
                6.144174600180663e-06,
                1.1478772222807315e-05,
                1.0129995807699706e-05,
                6.144176796780352e-06
            ],
            [
                0.3775406687981454,
                0.998967769045595,
                0.9998766054707212,
                0.0011695101627912752,
                0.0024726231572090532,
                0.9982992776565575,
                0.9997040427675268,
                0.0035936021662404858,
                0.022977372042605266,
                4.006370171458602e-05
            ],
            [
                7.889265405146477e-06,
                6.962259568078904e-06,
                1.300712845923622e-05,
                6.9622554185195676e-06,
                1.67014178576052e-05,
                2.7535700936100516e-05,
                2.1444956069076118e-05,
                1.4738976694012237e-05,
                8.939699497595294e-06,
                1.8925152740434357e-05
            ],
            [
                0.04208772581295733,
                0.24508500761839525,
                0.9959298615630439,
                0.9999785550542074,
                0.9999339478558027,
                0.00048785715210207964,
                0.037326889084349245,
                0.4378234991142019,
                0.34864514210180597,
                0.9996646499015062
            ],
            [
                0.9999945777784481,
                0.9999810748517849,
                0.999988521236067,
                0.9999952149060821,
                0.9999885212277881,
                0.9999957771665577,
                0.999994577781034,
                0.9999962733593908,
                0.9999930377412665,
                0.9999785550466267
            ],
            [
                2.7535700931292276e-05,
                1.14787708580381e-05,
                3.120190759075595e-05,
                1.4738981918945323e-05,
                1.1478766753751021e-05,
                1.1478766743561818e-05,
                1.6701427807888088e-05,
                2.144494072961245e-05,
                1.3007131560621253e-05,
                2.753569436164291e-05
            ],
            [
                0.0002611902395349612,
                0.007577239720113027,
                4.0063711256516126e-05,
                0.0011695103179555038,
                0.0006263341357021343,
                0.014063628864059123,
                0.0017007226887430593,
                0.10669058613457583,
                0.00012339458864563894,
                0.0002611902131261754
            ],
            [
                0.9999962733611621,
                0.9999921107336729,
                0.9999785550491245,
                0.9999977396759717,
                0.9999910602994629,
                0.9999952149032301,
                0.9999930377404357,
                0.9999962733607201,
                0.9999967112497606,
                0.9999957771680703
            ],
            [
                0.999995777164544,
                0.9999852610233347,
                0.9999785550568271,
                0.9999962733598322,
                0.9999970976880179,
                0.9999957771680709,
                0.9999930377421018,
                0.9999869928699916,
                0.9999885212318821,
                0.9999962733602752
            ],
            [
                7.889264465239894e-06,
                1.0129988561648438e-05,
                1.99472900790731e-06,
                5.422217676575195e-06,
                6.962256247998122e-06,
                7.88926634644516e-06,
                1.3007134659451795e-05,
                4.222832940715735e-06,
                8.9396994983433e-06,
                1.3007130010543792e-05
            ],
            [
                0.9999930377412711,
                0.9999898700078175,
                0.9999921107374262,
                0.99999211073648,
                0.999985261016288,
                0.9999869928668987,
                0.9999938558261334,
                0.9999852610110318,
                0.9999898700066125,
                0.999985261014535
            ],
            [
                0.9999898700054132,
                0.9999546021260574,
                0.9999810748495632,
                0.9999910603058402,
                0.9999898700114497,
                0.9999810748586351,
                0.9999921107355476,
                0.9999646437536532,
                0.9999910603026354,
                0.9999885212359947
            ],
            [
                1.1478770860982112e-05,
                7.889260703462123e-06,
                6.962258738435319e-06,
                1.1478772228256871e-05,
                2.1444948402034417e-05,
                1.8925141459279565e-05,
                2.4300249410794055e-05,
                1.670142979323052e-05,
                1.3007128456065844e-05,
                1.012998856312253e-05
            ],
            [
                4.222834954211514e-06,
                1.4738980209347228e-05,
                5.422217675756574e-06,
                1.3007125355060104e-05,
                7.889261638546534e-06,
                6.962258738283349e-06,
                1.1478769491598686e-05,
                3.7266397280960194e-06,
                7.889260702744606e-06,
                2.7535700939406174e-05
            ],
            [
                0.007577241022742362,
                0.012431651161902335,
                0.012431653048503442,
                0.04208772340991573,
                0.005220126259398815,
                0.9984988174408574,
                0.04742587435564,
                0.06008665354025421,
                0.0001795279002696594,
                0.04742586880186649
            ],
            [
                4.539787390693985e-05,
                1.6701419845680582e-05,
                7.889260703462123e-06,
                3.726639727526609e-06,
                0.9796676473251761,
                0.9982992776921351,
                2.7535694356133476e-05,
                4.7850967757637256e-06,
                5.422217030288788e-06,
                8.939697360662863e-06
            ],
            [
                1.4738978448810996e-05,
                1.0129994597155795e-05,
                2.9023130227124616e-06,
                2.1444950947650794e-05,
                5.422218322851817e-06,
                1.0129988561906404e-05,
                2.144494838814782e-05,
                6.144172404028807e-06,
                1.4738981965808603e-05,
                5.8291251591196906e-05
            ],
            [
                1.473898723610551e-05,
                1.3007134647716666e-05,
                1.6701415864001047e-05,
                7.484620925718133e-05,
                6.962258738827909e-06,
                2.144495350169305e-05,
                4.222832437324657e-06,
                1.300713311112477e-05,
                1.012998856312253e-05,
                4.785095064601411e-06
            ],
            [
                1.3007125358230479e-05,
                5.422217029509618e-06,
                1.1478765363467691e-05,
                2.2603245668530326e-06,
                6.9622562450726956e-06,
                1.0129992184802409e-05,
                6.9622537587775775e-06,
                5.422220261652556e-06,
                6.144174600862407e-06,
                5.422217676200406e-06
            ],
            [
                0.9999952149066482,
                0.9999938558261329,
                0.9999938558276019,
                0.9999974387174854,
                0.9999938558224748,
                0.99996464373712,
                0.9999921107336687,
                0.9999910603069058,
                0.999993855826139,
                0.9999957771650491
            ],
            [
                2.260324028351814e-06,
                4.7850927830148924e-06,
                1.670142780084011e-05,
                7.889260704308795e-06,
                6.962259565292781e-06,
                1.0129990977004428e-05,
                4.539787937205107e-05,
                2.1444956075707356e-05,
                1.0129992185299915e-05,
                4.7850933534310035e-06
            ],
            [
                6.962255419051463e-06,
                1.300713311155064e-05,
                5.422220261948442e-06,
                1.147877086073156e-05,
                1.1478768121735194e-05,
                2.4300249406550775e-05,
                1.1478769489719528e-05,
                2.4300243616508983e-05,
                6.9622570786798724e-06,
                6.962257908196617e-06
            ],
            [
                6.9622595668378125e-06,
                2.1444940719392548e-05,
                1.3007130010922344e-05,
                1.3007123779147193e-05,
                1.8925141463066202e-05,
                4.222834450666572e-06,
                2.1444943250731344e-05,
                7.889265405333033e-06,
                6.144173134868593e-06,
                8.939698411258097e-06
            ],
            [
                7.889260704050487e-06,
                1.3007123807727885e-05,
                4.222833947198501e-06,
                1.1478766755233466e-05,
                1.473898020682712e-05,
                4.222832940577472e-06,
                1.1478772225646932e-05,
                1.4738985481520185e-05,
                7.889260702744606e-06,
                4.7850956352353935e-06
            ],
            [
                0.06754669583231304,
                0.0001233945596211086,
                0.0024726227483224776,
                0.9986749776927775,
                0.022977367944707283,
                0.0011695101286578673,
                0.00407013745352093,
                0.9933071487878111,
                0.9995694428247844,
                0.009708476024823038
            ],
            [
                0.9999984465020604,
                0.9999957771655529,
                0.9999957771645506,
                0.9999957771655501,
                0.999996273359828,
                0.9999967112517221,
                0.9999832985822286,
                0.9999967112501523,
                0.9999885212318887,
                0.9999970976866328
            ],
            [
                7.889262574994342e-06,
                5.422218969029887e-06,
                6.144173867451939e-06,
                5.422218320820059e-06,
                8.939699495221176e-06,
                2.9023112930659533e-06,
                3.7266406162947e-06,
                2.9023126765777146e-06,
                3.288749849114211e-06,
                3.2887486723295965e-06
            ],
            [
                4.2228334438149845e-06,
                6.962259568648793e-06,
                1.0129990976728036e-05,
                1.4738976695459959e-05,
                1.0129989769464556e-05,
                1.6701415859504925e-05,
                5.422220262195015e-06,
                6.962258738701267e-06,
                1.3007126908733257e-05,
                1.6701429803316423e-05
            ],
            [
                0.07585818106587033,
                0.014063625726061279,
                0.00013982208963786078,
                0.005220124508679087,
                0.0008040858993853328,
                0.003172682137058007,
                0.9997388096014347,
                0.02595735550240123,
                0.03732688734412946,
                0.04208772491181671
            ],
            [
                0.9998911030789376,
                0.9999945777803961,
                0.9999885212346187,
                0.9999151889186668,
                0.999948557793041,
                0.9999930377437571,
                0.9999945777784589,
                0.9999970976880174,
                0.9999869928762164,
                0.9999485577929504
            ],
            [
                0.9999957771650476,
                0.9999869928746823,
                0.999998005270281,
                0.9999967112501518,
                0.999996273361164,
                0.9999898700054392,
                0.9999952149049547,
                0.9999957771645631,
                0.9999945777797498,
                0.9999930377421011
            ],
            [
                4.785096205347206e-06,
                2.7535684524701807e-05,
                5.144220747202866e-05,
                0.00015843621601588305,
                0.00017952790014950712,
                3.120191872728787e-05,
                6.144176798255599e-06,
                7.484624495540762e-05,
                8.939697360662863e-06,
                4.006368260129212e-05
            ],
            [
                7.889259761704902e-06,
                6.962254588433232e-06,
                2.902311292831027e-06,
                3.288750241042834e-06,
                3.72663839473414e-06,
                5.4222202617511845e-06,
                6.144174600471243e-06,
                3.288749065077638e-06,
                1.9947304347570075e-06,
                8.939700558760474e-06
            ],
            [
                0.9999339478324273,
                0.9999957771645427,
                0.9999962733593866,
                0.9999952149032322,
                0.9999952149060912,
                0.9999957771645436,
                0.9999339478406631,
                0.9999952149060779,
                0.9999869928684479,
                0.999985261023348
            ],
            [
                0.9999852610215604,
                0.9999810748473372,
                0.999998629043284,
                0.9999938558232064,
                0.9999885212332682,
                0.9999938558239405,
                0.9999957771645495,
                0.9999945777810404,
                0.999995777167564,
                0.9999952149072211
            ],
            [
                7.88926258381982e-06,
                4.785094493305991e-06,
                2.260324836341129e-06,
                4.222832940500659e-06,
                1.0129990975235516e-05,
                8.939695234983602e-06,
                6.144172403201774e-06,
                6.144174594078502e-06,
                5.42222025986737e-06,
                4.222834450420771e-06
            ],
            [
                4.785096205434246e-06,
                4.222833443046859e-06,
                1.0129989768911772e-05,
                1.3007130007042183e-05,
                3.7266410605974813e-06,
                1.147876812069122e-05,
                5.422220904290072e-06,
                3.726638394957837e-06,
                3.726638394957837e-06,
                3.7266406160845606e-06
            ],
            [
                0.022977371080853633,
                0.9999810748495179,
                8.481104123982985e-05,
                0.9998204721002631,
                0.10669059039516234,
                0.03732689015525376,
                0.9999687980809847,
                0.22270012850745968,
                0.03732688480073146,
                0.22270014398423357
            ],
            [
                1.0129990976451642e-05,
                1.1478769491306371e-05,
                1.0129994599624903e-05,
                7.889264464895484e-06,
                5.1442207342904795e-05,
                1.3007125358230479e-05,
                1.0129990975235516e-05,
                1.670142184171555e-05,
                6.962255417721724e-06,
                4.222834451169694e-06
            ],
            [
                6.144172403067661e-06,
                7.889263525103816e-06,
                2.26032429753354e-06,
                4.785095634930755e-06,
                4.7850956342431385e-06,
                1.3709570432501875e-06,
                4.785095063939907e-06,
                2.260324297155282e-06,
                1.8925152719091475e-05,
                4.222833442816421e-06
            ],
            [
                2.7535700931292276e-05,
                3.1201911312013484e-05,
                1.4738983723664288e-05,
                2.430023781444595e-05,
                1.4738976682752188e-05,
                7.889266343316778e-06,
                1.4738978422001344e-05,
                7.889264465067689e-06,
                5.14422380702763e-05,
                6.144177531007026e-06
            ],
            [
                6.144175325533236e-06,
                6.144172402609439e-06,
                5.422220260508458e-06,
                6.144174599700092e-06,
                6.144176063626673e-06,
                5.4222170296279735e-06,
                5.422217675756574e-06,
                3.7266379506485954e-06,
                1.7603430034151537e-06,
                6.962257075007259e-06
            ],
            [
                0.9999952149038025,
                0.9999957771665643,
                0.9999945777810411,
                0.9999938558254093,
                0.999988521226415,
                0.9999957771680685,
                0.9999921107374284,
                0.9999921107374293,
                0.9999930377437609,
                0.9999885212264085
            ],
            [
                1.1478765386623071e-05,
                1.8925141426094847e-05,
                2.902312330965655e-06,
                8.939696299530582e-06,
                1.1478765384764794e-05,
                1.3007133112307748e-05,
                3.120191131836996e-05,
                6.962254588724508e-06,
                7.889261643382609e-06,
                3.5356267541418054e-05
            ],
            [
                0.9999832985722189,
                0.9999938558261332,
                0.9999938558275973,
                0.9999967112497664,
                0.9999921107402423,
                0.9999646437536178,
                0.9999930377404378,
                0.9999832985762062,
                0.9999485578049943,
                0.9999339478557335
            ],
            [
                1.1478764016780948e-05,
                8.93969736518344e-06,
                4.7850927808475986e-06,
                4.785096775842062e-06,
                3.7266397278791014e-06,
                4.222832437109582e-06,
                6.962255416961874e-06,
                2.9023126768258393e-06,
                4.222835457280279e-06,
                1.3007130008414434e-05
            ],
            [
                3.726638839395927e-06,
                8.939696301611998e-06,
                1.0129993385746e-05,
                6.144177530425867e-06,
                8.93969843377968e-06,
                1.147877359392407e-05,
                1.4738976678891598e-05,
                6.1441760657054305e-06,
                1.8925154990456026e-05,
                2.9023130227124616e-06
            ],
            [
                3.120190387154201e-05,
                1.012998735462479e-05,
                1.4738980208864656e-05,
                1.4738987237553233e-05,
                8.939694168810643e-06,
                1.3007131563507714e-05,
                1.0129990978644356e-05,
                1.8925145971919677e-05,
                1.1478770856158943e-05,
                7.889265405849647e-06
            ],
            [
                1.4738980190151517e-05,
                1.1478765381257036e-05,
                2.430024069359789e-05,
                5.422219615829396e-06,
                1.8925141455974863e-05,
                1.3007123803043302e-05,
                3.535626332111248e-05,
                4.785092781709294e-06,
                1.0129989769188164e-05,
                4.2228344508893285e-06
            ],
            [
                0.9999910603037084,
                0.9999646437324866,
                0.9999785550465567,
                0.9999910603069126,
                0.9999938558268752,
                0.9999832985801769,
                0.999903897609068,
                0.9999852610215769,
                0.9999832985742108,
                0.9999930377445863
            ],
            [
                4.7850950643402904e-06,
                2.1444958631232504e-05,
                1.1478769489343698e-05,
                2.2603245669804887e-06,
                2.144495091316834e-05,
                4.222831934052698e-06,
                1.6701427811898146e-05,
                7.889259762106714e-06,
                2.260323758882316e-06,
                5.422218969128516e-06
            ],
            [
                1.5534984951164742e-06,
                1.3007126911974612e-05,
                1.1478769466793817e-05,
                1.1478765385746131e-05,
                1.994729008056074e-06,
                1.012999339309804e-05,
                9.610244908760198e-05,
                1.4738983706452486e-05,
                1.3007123808153756e-05,
                1.3007134661628471e-05
            ],
            [
                4.539785233683338e-05,
                5.42222090767305e-06,
                8.939698431942181e-06,
                1.6701423828576233e-05,
                3.7266379507909478e-06,
                1.9947299584388403e-06,
                6.144174601097106e-06,
                1.1478772227964558e-05,
                1.012999339449843e-05,
                3.7266401720529807e-06
            ],
            [
                0.9999921107364846,
                0.9999921107355532,
                0.9999910603005513,
                0.999891103041336,
                0.999975699762209,
                0.9999952149055131,
                0.9999930377462425,
                0.9999869928730993,
                0.9999930377462481,
                0.9999810748450387
            ],
            [
                0.000203426899085842,
                0.0007096702633754506,
                0.025957360164739443,
                0.00013982202343663843,
                0.06754668597767712,
                0.0017007223748694053,
                0.02595735686813658,
                0.0031726834794315794,
                0.11920292515117026,
                0.00017952800792612165
            ],
            [
                0.9999938558254008,
                0.999988521236054,
                0.9999785550466317,
                0.9999967112497608,
                0.9999938558268711,
                0.9999945777829737,
                0.9999945777816803,
                0.9999957771645462,
                0.999997739675166,
                0.9999687980963382
            ],
            [
                1.1478770853569882e-05,
                5.422219615750493e-06,
                8.9396973639476e-06,
                1.994730434735237e-06,
                1.4738980202162242e-05,
                5.422221554581283e-06,
                1.3007131560621253e-05,
                7.8892625810789e-06,
                6.9622562492265485e-06,
                5.422217029736466e-06
            ],
            [
                5.144221351764571e-05,
                5.422217676101776e-06,
                3.2887502407856003e-06,
                2.1444950963097686e-05,
                4.5397879426550244e-05,
                7.484624496248661e-05,
                1.473898721685617e-05,
                2.430023491664161e-05,
                6.605213675960068e-05,
                1.147876675341695e-05
            ],
            [
                0.9999945777823263,
                0.9999962733598301,
                0.9999957771665575,
                0.9999599363129132,
                0.9999970976866319,
                0.9999930377429249,
                0.9999885212346207,
                0.9999869928653495,
                0.9999952149032252,
                0.9999952149043666
            ],
            [
                1.6701427804546374e-05,
                8.939695233292452e-06,
                2.1444940722669156e-05,
                1.3007133112662637e-05,
                3.5356254903911806e-05,
                1.8925145970336176e-05,
                5.422221549482159e-06,
                4.5397873923454754e-05,
                7.484625370612328e-05,
                1.670142979608617e-05
            ],
            [
                0.9999930377429298,
                0.9999898700066195,
                0.9999785550516462,
                0.9999898700126894,
                0.9999962733602744,
                0.9999885212318821,
                0.9999945777810424,
                0.9999967112501515,
                0.9999898700090336,
                0.9999938558276065
            ],
            [
                1.670142581762446e-05,
                5.422221553654169e-06,
                2.4300243622255085e-05,
                6.962258737650141e-06,
                8.939698434495167e-06,
                4.7850950649408664e-06,
                1.30071315602427e-05,
                3.2887486731641103e-06,
                1.4738980207363312e-05,
                6.1441753308083655e-06
            ],
            [
                8.939696301839653e-06,
                3.535624225110421e-05,
                3.5356242262551455e-05,
                6.144176066264237e-06,
                7.889266345196678e-06,
                4.222835457364773e-06,
                4.006370168019018e-05,
                8.939699498587217e-06,
                1.0129988562164371e-05,
                5.422217676200406e-06
            ],
            [
                3.535624224711697e-05,
                7.48462625995088e-05,
                5.8291265478351516e-05,
                2.4300243620398656e-05,
                2.4300243590165296e-05,
                3.5356254903911806e-05,
                4.539785754232785e-05,
                0.0001584362151237764,
                0.00010889686993272709,
                2.144495349826041e-05
            ],
            [
                5.42221702914469e-06,
                2.902311292920774e-06,
                3.288748280449018e-06,
                5.4222202617511845e-06,
                4.7850962041547575e-06,
                4.222832940715735e-06,
                4.22283193338827e-06,
                1.2098658277082653e-06,
                3.2887478890769702e-06,
                5.422217675085898e-06
            ],
            [
                2.90231336827709e-06,
                3.2887502396310385e-06,
                6.144174599532449e-06,
                6.144176796780352e-06,
                3.28875024092319e-06,
                5.4222170229803784e-06,
                4.785092782692845e-06,
                1.7603432132464244e-06,
                6.962254580011553e-06,
                4.785096204972935e-06
            ],
            [
                1.4738976690741464e-05,
                0.9999485577870408,
                0.9998911030780216,
                5.8291286260530174e-05,
                4.539785771672514e-05,
                0.9997388095720773,
                0.9996200154799418,
                0.9997965729552402,
                0.9995694430184783,
                0.999876605382468
            ],
            [
                0.9999785550414249,
                0.9999921107393043,
                0.9999921107336626,
                0.9999938558246716,
                0.9999921107364774,
                0.9999910603047706,
                0.9999485577931722,
                0.9999910603037018,
                0.9999921107346073,
                0.9999930377412638
            ],
            [
                4.785093353013212e-06,
                6.144175333155351e-06,
                2.9023116389761676e-06,
                6.962255418063657e-06,
                2.5612834309848352e-06,
                1.9947304347570075e-06,
                1.6701419815726692e-05,
                5.4222189669981275e-06,
                3.7266397276757403e-06,
                1.7603425835461557e-06
            ],
            [
                0.9999962733602724,
                0.9999910602994483,
                0.9999962733611631,
                0.9999967112509367,
                0.9999982396563682,
                0.9999945777816803,
                0.9999869928715471,
                0.9999945777797471,
                0.999996273360718,
                0.999996273360719
            ],
            [
                1.5534975693347152e-06,
                2.9023126767360923e-06,
                2.2603248364233586e-06,
                2.56128159959988e-06,
                1.1478770857328198e-05,
                6.9622554173544636e-06,
                5.422219611144516e-06,
                4.222835457364773e-06,
                3.288747888478753e-06,
                7.88926070293116e-06
            ],
            [
                1.4738988983988627e-05,
                6.144173136019732e-06,
                3.726638393005574e-06,
                7.889266338581152e-06,
                3.726639283291774e-06,
                2.561282210562998e-06,
                6.14417679836736e-06,
                6.1441760651689774e-06,
                1.3007134657464394e-05,
                2.5612828204174347e-06
            ],
            [
                0.001032231001582084,
                0.9998601779607541,
                0.017986207955231072,
                0.007577242906652923,
                0.13296422989056964,
                0.9999251537912563,
                0.9994472214185492,
                0.0005527787233325964,
                0.9968273178180244,
                7.484620930074429e-05
            ],
            [
                0.9999945777829723,
                0.9999546021427298,
                0.9999957771680735,
                0.9999921107383782,
                0.9999967112501569,
                0.9999930377421108,
                0.9999967112517203,
                0.9999687980739775,
                0.9999977396757042,
                0.9999921107383608
            ],
            [
                0.9999687980776334,
                0.9999646437367575,
                0.9999687980850713,
                0.9999910603026556,
                0.9999930377445924,
                0.9998204721052261,
                0.9999869928746445,
                0.9997965731063125,
                0.9999646437410172,
                0.9999485577803794
            ],
            [
                0.9999546021207161,
                0.9999038976201386,
                0.9999546021098811,
                0.9999038975972617,
                0.9998766054555572,
                0.9992903296615382,
                0.9997388096019287,
                0.9999599363174564,
                0.9999832985801692,
                0.999891103130175
            ],
            [
                6.962256247098965e-06,
                5.422221553910605e-06,
                2.7535684488840414e-05,
                3.120192247805892e-05,
                1.300712379381609e-05,
                1.1478772218923723e-05,
                0.9996200155245369,
                8.481101035011937e-05,
                7.88926634383339e-06,
                6.96225873459807e-06
            ],
            [
                1.3007133103127848e-05,
                5.829126545120912e-05,
                6.96225956837018e-06,
                2.7535704195382043e-05,
                2.753568450937557e-05,
                1.3007125360478133e-05,
                9.610243759883879e-05,
                7.889263523869684e-06,
                6.605216812869513e-05,
                1.0129989768616954e-05
            ],
            [
                0.9990889488032151,
                0.9994472212710719,
                0.22270014398423357,
                0.03732688680867723,
                0.017986213054631103,
                0.006692850558987235,
                0.9984988180004734,
                0.022977367735630874,
                0.9988304897437839,
                0.005220124827871038
            ],
            [
                8.939698431942181e-06,
                2.144495861750193e-05,
                1.6701419838997157e-05,
                1.1478765385432939e-05,
                2.5612831263510383e-06,
                7.889259762666377e-06,
                6.962259568775433e-06,
                1.0129987355343409e-05,
                7.88926070293116e-06,
                8.939694170940841e-06
            ],
            [
                0.0009110513909633144,
                0.999512142776713,
                0.9984988178570359,
                0.0004305571276688381,
                0.00460957288872708,
                0.9525741303566527,
                0.06754668785475051,
                0.0002611903678474998,
                0.02297737174989824,
                0.0006263342146559401
            ],
            [
                0.9999962733602769,
                0.999985261016288,
                0.9999945777810337,
                0.9999952149049361,
                0.9999952149043666,
                0.9999898700066329,
                0.999981074847303,
                0.9999910603005089,
                0.9999938558232168,
                0.9999417087557695
            ],
            [
                0.9999945777810432,
                0.9999967112513287,
                0.9999869928715484,
                0.9999852610145328,
                0.9999898700078323,
                0.9999952149049409,
                0.9999898700090242,
                0.9999810748563103,
                0.9999910603026447,
                0.9999945777803863
            ],
            [
                2.7535684513582775e-05,
                4.539786317522845e-05,
                7.484622714958306e-05,
                5.829125835050234e-05,
                5.144220136091472e-05,
                4.5397857784436206e-05,
                4.006369216362198e-05,
                0.00012339454499214465,
                5.1442207317454294e-05,
                7.484620021677718e-05
            ],
            [
                8.939696301611998e-06,
                4.222833443968609e-06,
                1.01299933928585e-05,
                3.288749065077638e-06,
                7.484620024237041e-05,
                1.1478765381257036e-05,
                1.3007125351889727e-05,
                8.939697357670826e-06,
                3.2887506328279317e-06,
                1.0129987349373336e-05
            ]
        ]
    },
    {
        "q_id": "10435_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            4,
            5,
            7,
            8,
            9,
            10,
            11,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            29,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            40,
            42,
            43,
            44,
            45,
            46,
            48,
            49,
            51,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            64,
            66,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            85,
            86,
            88,
            90,
            91,
            93,
            94,
            95,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            121,
            122,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.012999339309804e-05,
                2.561282515914161e-06,
                2.1444953523537147e-05,
                6.962257909412379e-06,
                7.889260703462123e-06,
                3.726637950329997e-06,
                1.2098655392222467e-06,
                6.144173867451939e-06,
                2.430024072285883e-05,
                1.0129988564099116e-05
            ],
            [
                0.0002305066591410812,
                0.00020342689987606823,
                0.00012339453024827647,
                0.0001398220740198135,
                7.48462268811262e-05,
                9.610238014245843e-05,
                NaN,
                0.0002611903081218203,
                8.481104111148777e-05,
                0.0003353502673139849
            ],
            [
                NaN,
                NaN,
                0.9525741291785795,
                NaN,
                0.22270014398423355,
                NaN,
                NaN,
                0.9978172837159107,
                NaN,
                0.9933071482274816
            ],
            [
                0.0006263341558140397,
                NaN,
                0.002472623259430708,
                0.0017007223296067737,
                0.0007096702806300439,
                0.0010322310582426004,
                NaN,
                0.00010889689611952136,
                NaN,
                NaN
            ],
            [
                0.9999967112517187,
                7.8892625849535e-06,
                0.999995214905507,
                0.9999992661787571,
                0.9999938558224687,
                0.9999980052693274,
                0.9999885212277713,
                0.9999885212318881,
                0.9999599363221628,
                0.9999885212305073
            ],
            [
                2.430023492769181e-05,
                0.0001398221071356907,
                2.144495349943063e-05,
                0.0003353502655089946,
                NaN,
                9.6102449293158e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.0005527787361315483,
                0.00010889696091391995,
                0.00010889694813820381,
                3.5356250696598434e-05,
                6.60521600759344e-05,
                NaN,
                0.00029595723972359917,
                0.7981867849406659,
                4.539786844348078e-05,
                0.9820137916170774
            ],
            [
                8.481104124846826e-05,
                4.539786856370925e-05,
                NaN,
                4.006369693473136e-05,
                5.829129329168791e-05,
                0.00048785705449236783,
                0.0017007221750418133,
                0.0024726229125662347,
                0.00017952794367336457,
                0.00043055718165360164
            ],
            [
                NaN,
                2.2603240274740096e-06,
                1.0129987355122296e-05,
                0.047425873009270605,
                1.0677026154551157e-06,
                5.422217030555087e-06,
                5.4222183222304545e-06,
                6.144176799166453e-06,
                3.288750241473551e-06,
                1.0677026154279257e-06
            ],
            [
                2.561282210530385e-06,
                1.0677028700266676e-06,
                4.222834954607099e-06,
                1.2098659719524008e-06,
                1.2098653950315304e-06,
                6.144176066443055e-06,
                3.2887478892055875e-06,
                1.5534979397592542e-06,
                4.222835458044565e-06,
                9.422448185388577e-07
            ],
            [
                3.1201907645920996e-05,
                0.00015843619742687148,
                0.9982992775514058,
                0.06754669536304464,
                1.3709576970026324e-06,
                8.315278294038928e-07,
                1.473898021457511e-05,
                1.3007128463069061e-05,
                0.9940889323367765,
                0.7981867873410141
            ],
            [
                0.9999785550465105,
                0.9999810748495098,
                0.9964063973110333,
                0.0015011820096474642,
                0.9999546021152028,
                0.999925153763944,
                0.9999832985741761,
                0.0,
                0.16451646699291617,
                0.0017007221392665495
            ],
            [
                1.0129993392600532e-05,
                1.760343422205164e-06,
                6.144176797998549e-06,
                1.4738981964843453e-05,
                3.7266401714225625e-06,
                3.2887494564079503e-06,
                7.889263525893087e-06,
                1.892515048889829e-05,
                1.300712846361323e-05,
                8.939698434153684e-06
            ],
            [
                NaN,
                0.22270014398423357,
                0.0019267342912567904,
                0.0004878570588633752,
                0.0002959572036523733,
                0.08509904326677627,
                0.007577241194325275,
                NaN,
                NaN,
                0.9999038975852277
            ],
            [
                0.0420877286665694,
                0.9933071484256091,
                0.010986944087868242,
                0.9859363747000864,
                0.0017007220386609772,
                NaN,
                0.2689414096510108,
                0.015906388592049247,
                0.9964063966082292,
                0.9820137940845286
            ],
            [
                0.00012339461836499843,
                4.7850933538313875e-06,
                6.962256249112569e-06,
                3.7266392839832006e-06,
                2.2603251062013478e-06,
                3.7266406155693803e-06,
                5.422220908634683e-06,
                4.222831934321543e-06,
                4.222833947728508e-06,
                5.422221555296344e-06
            ],
            [
                0.9740426431789578,
                0.9975273772453606,
                0.9626731123881443,
                0.9820137926698566,
                0.9902915229723355,
                0.9924227587496477,
                0.001032230897384363,
                0.0003799844822286365,
                0.004609571668725672,
                NaN
            ],
            [
                6.605213674902834e-05,
                NaN,
                0.0003799845692078262,
                0.991422516574179,
                0.9999756997650606,
                0.0003353500283235979,
                NaN,
                0.9046505447409666,
                0.004609571771282696,
                NaN
            ],
            [
                4.5397863181173815e-05,
                4.00636778258121e-05,
                NaN,
                2.144494585197151e-05,
                0.00026119040190915446,
                3.120191135412508e-05,
                1.67014178554179e-05,
                0.0001398221235756373,
                0.00017952792278776256,
                NaN
            ],
            [
                7.889261645090304e-06,
                8.93969310675186e-06,
                1.209866116137134e-06,
                1.0129995807699706e-05,
                5.422218323231539e-06,
                2.902312330965655e-06,
                4.785096205717126e-06,
                1.7603425837494853e-06,
                1.0677024881761599e-06,
                1.147876675686207e-05
            ],
            [
                5.422218969532895e-06,
                3.120192252175965e-05,
                5.422218969661113e-06,
                4.222833947428939e-06,
                7.889263521487523e-06,
                5.715002426301592e-07,
                2.753568124348506e-05,
                5.043472879419732e-07,
                1.994729245519287e-06,
                2.902312330849511e-06
            ],
            [
                2.9023130230846496e-06,
                4.785095635413826e-06,
                2.1444945848226808e-05,
                1.994729483680993e-06,
                4.7850950649408664e-06,
                1.7603436328770204e-06,
                4.450849988758202e-07,
                4.222835458044565e-06,
                3.726639728348526e-06,
                4.222834451327159e-06
            ],
            [
                2.902312677060767e-06,
                1.892515048889829e-05,
                NaN,
                2.9023116388969785e-06,
                1.0129994601872894e-05,
                3.7266388396975786e-06,
                8.939699499823059e-06,
                6.962255419728997e-06,
                2.9023112924403614e-06,
                4.0063677758769415e-05
            ],
            [
                0.9971990730627934,
                0.9840936065679405,
                0.9933071484070347,
                0.9706877693546394,
                0.0002611903995988591,
                0.0001398220400515331,
                0.3486451285660856,
                0.9995121428355797,
                0.9975273770277088,
                0.9984988179114793
            ],
            [
                0.9999852610127599,
                0.9999756997476821,
                NaN,
                0.9875683513764332,
                NaN,
                0.9999852610215446,
                NaN,
                0.0008040860385151616,
                NaN,
                0.9999724643121868
            ],
            [
                0.0006263342422005096,
                0.00013982205520166586,
                4.539785764835348e-05,
                0.00033535014554058045,
                0.9953904275321842,
                0.00017952805017795734,
                0.9933071505183311,
                0.000911051322351812,
                0.00857748723528581,
                0.9859363726080882
            ],
            [
                0.0008040859302043417,
                NaN,
                0.0024726227724421895,
                0.0004305571380524498,
                0.00033535010937249266,
                0.0052201252147703985,
                0.0015011826106195207,
                0.0005527787412446975,
                NaN,
                7.484623595747305e-05
            ],
            [
                0.0008040861186726605,
                NaN,
                0.0011695102354097636,
                0.9399133479324787,
                0.0007096705394077146,
                NaN,
                NaN,
                0.9984988180015204,
                NaN,
                NaN
            ],
            [
                1.0129995808639442e-05,
                2.753569108924008e-05,
                2.144494840289258e-05,
                1.670142780235907e-05,
                1.0129990977004428e-05,
                2.4300246524568948e-05,
                2.5612815996464693e-06,
                NaN,
                6.962258739271155e-06,
                5.422217030495909e-06
            ],
            [
                2.7535704195382043e-05,
                5.82912515996789e-05,
                0.00010889686972832847,
                NaN,
                0.9984988177638539,
                0.92414182206801,
                0.0007096702859550261,
                0.00029595713403293917,
                0.0004305570340660379,
                0.8933094145755219
            ],
            [
                6.962257079629686e-06,
                4.222833444429485e-06,
                4.78509506499309e-06,
                2.9023126770343703e-06,
                1.3007134665674251e-05,
                7.889259764273619e-06,
                6.14417606659952e-06,
                6.144175334172377e-06,
                6.144177531599359e-06,
                1.1478772230198667e-05
            ],
            [
                0.9840936101542133,
                0.00043055703773599877,
                0.9924227581718684,
                0.9959298632467753,
                0.9992903295486403,
                0.00591107012588035,
                0.9525741311981335,
                0.0006263340122616862,
                0.9982992777735683,
                0.10669059678604235
            ],
            [
                0.9998204719762712,
                0.9999151889889952,
                0.9997694933132795,
                0.9975273765303831,
                0.9999151889486693,
                0.08509904442693891,
                0.9999756997577143,
                0.9999339478321774,
                0.11920292045759123,
                0.00048785715811931177
            ],
            [
                0.9999996072137061,
                0.9997040429024946,
                0.9997388096619432,
                0.9999993524051246,
                0.9999967112493665,
                0.9999994956526519,
                0.9999970976880151,
                0.9770226305499425,
                0.9999996072138465,
                NaN
            ],
            [
                NaN,
                0.9999967112501508,
                0.9999977396754327,
                0.9999986290432835,
                0.9999921107374148,
                8.939693106182721e-06,
                1.4738978457336465e-05,
                0.9999991684715758,
                0.9999982396569965,
                0.9999987901343165
            ],
            [
                0.5621765008857981,
                NaN,
                0.9998601779775297,
                0.995390426899749,
                NaN,
                0.9997388096312101,
                0.2689414213699951,
                0.13296424535145931,
                0.9924227592258777,
                0.9998766054782996
            ],
            [
                0.005220124890742183,
                0.999992110738356,
                NaN,
                0.996827317827597,
                0.9933071478621839,
                0.9999869928761891,
                0.9959298629277724,
                0.029312234037225486,
                0.9999852610113883,
                0.9999977396757023
            ],
            [
                1.2098656834922064e-06,
                4.22283545710361e-06,
                1.5534979397267575e-06,
                1.5534975693036317e-06,
                1.5534981249164537e-06,
                1.2098652507439992e-06,
                1.4738978454950406e-05,
                8.315278293604072e-07,
                1.5534975693488444e-06,
                1.5534984951673385e-06
            ],
            [
                6.144176799166453e-06,
                5.422217030663578e-06,
                2.144495863614743e-05,
                5.422218323290717e-06,
                1.012999097997104e-05,
                1.5534975693205863e-06,
                4.785095065093186e-06,
                4.2228324375512536e-06,
                3.726639728262097e-06,
                2.1444945846588504e-05
            ],
            [
                7.889264464895484e-06,
                4.22283545808297e-06,
                2.56128159999123e-06,
                1.6701425825857226e-05,
                1.7603434231385591e-06,
                0.24508500761839527,
                9.42244930849811e-07,
                4.785093353874907e-06,
                8.31528027618756e-07,
                6.96225541916544e-06
            ],
            [
                1.4738983728784933e-05,
                NaN,
                0.9998601778761782,
                0.8933094053442511,
                0.9980732656147181,
                2.1444956049650475e-05,
                7.889263525534328e-06,
                6.144175322448627e-06,
                0.9999885212277702,
                0.999993855826863
            ],
            [
                0.00026119043201139244,
                9.61024148807086e-05,
                2.1444953520182517e-05,
                9.610246059873997e-05,
                0.0001795280502954977,
                5.829125857188255e-05,
                1.3007133113017532e-05,
                1.1478773596847203e-05,
                2.1444940743225995e-05,
                5.829124467582348e-05
            ],
            [
                0.00037998452589510566,
                0.5926665999540698,
                0.7772998560157665,
                8.481107085230067e-05,
                0.0008040858464926211,
                0.9579122674284875,
                0.001926734738995289,
                0.9999756997592687,
                0.0006263340948589374,
                NaN
            ],
            [
                0.9999417087415515,
                0.9999251537638378,
                NaN,
                0.010986942357354127,
                NaN,
                NaN,
                NaN,
                0.000335350060608511,
                7.484619991020282e-05,
                0.0009110511921754079
            ],
            [
                3.7266410609940346e-06,
                1.994729245822257e-06,
                NaN,
                1.1478766756653273e-05,
                4.785092782858221e-06,
                4.78509563535725e-06,
                6.144177531599359e-06,
                7.88925976359915e-06,
                6.962259569630266e-06,
                4.222832941142044e-06
            ],
            [
                0.000295957061968016,
                0.001926735105245458,
                0.9840936068303507,
                0.9940889319235975,
                0.007577242157290674,
                0.9914225156237929,
                0.00043055713517159254,
                0.9986749778508313,
                0.4378234991142019,
                0.00017952800843023904
            ],
            [
                NaN,
                0.9149009596336303,
                0.8807970811069351,
                0.0015011821947901079,
                NaN,
                0.00033534998587221034,
                0.0019267349485369422,
                0.9998204719914993,
                0.042087732271132286,
                NaN
            ],
            [
                0.0005527785202859464,
                NaN,
                0.0004878571668329451,
                NaN,
                NaN,
                0.0002034269219047355,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9914225134379046,
                0.0004305569800562419,
                0.0008040858387761779,
                NaN,
                0.0002959571345668173,
                0.970687772322521,
                0.9706877664397555,
                0.8519528076067262,
                NaN,
                0.9998766054251126
            ],
            [
                0.9914225151406799,
                NaN,
                0.9579122767402743,
                0.9947798742218074,
                0.9706877687716626,
                NaN,
                0.9999852610127582,
                0.9999885212291378,
                NaN,
                8.481106138460176e-05
            ],
            [
                0.9997965729299618,
                0.9999417087553654,
                0.9999852610233104,
                0.999993037740431,
                0.9996200154269562,
                0.9998766054403987,
                0.9997694933675934,
                0.9991959142456838,
                0.998498818093132,
                0.9999485577619125
            ],
            [
                0.0009110511051262396,
                0.0024726235793041144,
                0.00017952798534793163,
                0.0017007225820101983,
                0.9924227584660106,
                0.00017952790139543387,
                0.9859363725435202,
                0.0005527786069843484,
                0.939913347090917,
                0.00048785716847916905
            ],
            [
                NaN,
                NaN,
                0.0011695104344986763,
                NaN,
                0.0003799844387390491,
                NaN,
                0.000379984479078018,
                0.0002959569919094576,
                NaN,
                0.00013982207320605572
            ],
            [
                0.9990889489970757,
                0.09534945847239201,
                0.99992515375513,
                0.9998766053664531,
                0.16451645470385742,
                0.9989677690987743,
                0.37754067580180184,
                0.9324533032291502,
                0.9770226314698788,
                0.9996200154751109
            ],
            [
                5.144223811518898e-05,
                9.610239181859224e-05,
                0.00010889686971089912,
                NaN,
                0.0031726832268620707,
                0.0004878572284244298,
                0.000295957132009369,
                0.0004305570855331711,
                8.48110109893614e-05,
                0.00012339456000173458
            ],
            [
                5.82912723220545e-05,
                0.0008040861216189398,
                0.9998911031299073,
                0.001325022394105883,
                0.0009110512085467984,
                0.00043055718145319414,
                NaN,
                0.0001795280298931047,
                NaN,
                0.9971990727877103
            ],
            [
                0.04208773272170268,
                0.999796573036962,
                0.320821300824607,
                0.9995694429653579,
                0.2942149659744614,
                0.03732688332823795,
                0.268941415510503,
                0.999569442963003,
                0.9998911031038947,
                0.9999724643122538
            ],
            [
                1.3007125362820425e-05,
                6.962255419279419e-06,
                NaN,
                3.1201918802543923e-05,
                5.422220262195015e-06,
                4.785093353739995e-06,
                3.726640615921872e-06,
                1.3007130007988564e-05,
                6.962257078553231e-06,
                6.962253759670401e-06
            ],
            [
                4.785092783267308e-06,
                6.962253759271479e-06,
                3.288748281220719e-06,
                1.2098658277264215e-06,
                2.561283126535066e-06,
                1.3709576971061233e-06,
                1.3007134663876127e-05,
                7.889260704631679e-06,
                6.962254589332388e-06,
                3.2887506332466845e-06
            ],
            [
                0.9995694428656176,
                0.9982992777678364,
                0.01243164820051087,
                0.9940889309741064,
                0.9820137892154245,
                0.00023050663212496322,
                NaN,
                0.9959298616498731,
                0.9982992772389158,
                0.9859363717945331
            ],
            [
                0.06754668550840877,
                0.9953904286838141,
                0.9770226292954839,
                0.995390428743639,
                0.9740426434615237,
                0.9940889302380457,
                0.05340333356619822,
                9.610240329616323e-05,
                0.9875683499929261,
                0.9465966749081428
            ],
            [
                4.22283545808297e-06,
                4.2228349547223175e-06,
                4.222835458117536e-06,
                5.422219615829396e-06,
                5.422220262264056e-06,
                5.422218323093458e-06,
                3.288749456838667e-06,
                3.7266392840781026e-06,
                8.315283250305684e-07,
                2.260324028372372e-06
            ],
            [
                3.726638395527247e-06,
                6.962253759752719e-06,
                6.144173137014406e-06,
                1.3709578605355551e-06,
                2.902312677104321e-06,
                6.962257079553702e-06,
                3.05902226923399e-07,
                4.222832437386106e-06,
                1.0677027427471959e-06,
                8.939699500636112e-06
            ],
            [
                9.610243759883879e-05,
                4.539786846164717e-05,
                3.120192249712832e-05,
                0.0001795280507499871,
                0.00010889688275438415,
                3.120192623972722e-05,
                0.0003353502676749829,
                3.1201918783020485e-05,
                0.0004878571012110585,
                8.481104114974359e-05
            ],
            [
                0.9933071498806082,
                6.144172403201774e-06,
                1.1478772229989872e-05,
                4.222834451327159e-06,
                1.4738980207899506e-05,
                0.07585817427579646,
                0.9626731106479247,
                1.4738981965326028e-05,
                3.7266401724291984e-06,
                1.6701415869924985e-05
            ],
            [
                0.9995121427750667,
                0.00015843623535638724,
                0.00029595699059198496,
                0.0017007225590823993,
                0.00020342689903848763,
                0.9770226293372992,
                0.0008040858325562573,
                0.9995694429272177,
                0.007577239842672229,
                0.004070137340265453
            ],
            [
                0.9990889490157783,
                0.2689414272294874,
                0.9982992779388066,
                NaN,
                0.9989677689165483,
                0.9964063971934826,
                0.9978172838026237,
                0.9986749777782744,
                0.9996646500128009,
                0.9971990725893641
            ],
            [
                0.9465966734015935,
                0.9986749775390371,
                0.9964063970459187,
                0.9996200155238847,
                0.9978172832174372,
                0.6224593382055109,
                0.9947798734866984,
                0.4378234991142019,
                0.9947798743910758,
                0.9997388096634328
            ],
            [
                0.9940889309658977,
                0.9992903295542955,
                0.5621765008857981,
                0.053403330741417704,
                0.999738809586243,
                0.0011695105101089554,
                0.999738809558793,
                0.9995121428241128,
                0.9953904284146019,
                0.053403334131154334
            ],
            [
                0.00015843629205243188,
                5.829129288582396e-05,
                9.610239198289712e-05,
                6.605216036234875e-05,
                0.0011695100009635737,
                5.8291251536063904e-05,
                0.000261190399446866,
                0.00020342689864781397,
                NaN,
                9.61024377673388e-05
            ],
            [
                0.9998415638410558,
                0.9964063966974346,
                0.025957354419231863,
                0.4378234991142019,
                0.04742587267267826,
                0.9998766054110455,
                0.03732688439914231,
                0.9875683514450369,
                0.18242553047372242,
                0.9999038976230807
            ],
            [
                0.9940889302271005,
                8.481101082523169e-05,
                0.022977372293497004,
                0.00026119043171500577,
                0.9968273166707846,
                0.8670357494949105,
                5.1442219666936855e-05,
                0.053403324150263734,
                0.008577484122770767,
                0.02033235234090658
            ],
            [
                0.0006263341662343386,
                0.00037998448414111716,
                NaN,
                NaN,
                0.00026119040067041054,
                0.00010889689617180939,
                NaN,
                2.7535687793096995e-05,
                4.539787399116584e-05,
                0.00048785717373005564
            ],
            [
                2.699578739984626e-07,
                1.7603425836870455e-06,
                2.2603248367512505e-06,
                2.260325375634003e-06,
                1.370956716450141e-06,
                4.222832941111319e-06,
                3.2887490653647836e-06,
                3.7266379513162962e-06,
                2.90231233114251e-06,
                1.3709576971242028e-06
            ],
            [
                1.2098652507957165e-06,
                3.2887498492518007e-06,
                2.4300246523066122e-05,
                6.14417606659952e-06,
                6.144172404380855e-06,
                8.315283250006957e-07,
                3.726638395527247e-06,
                3.288750241473551e-06,
                6.962255419570695e-06,
                1.5534981248330927e-06
            ],
            [
                NaN,
                0.0003799845720710205,
                0.995390427775757,
                0.9992903297260984,
                0.5,
                0.9986749777818176,
                0.9998601779760528,
                0.18242551713899047,
                0.9998204719917447,
                0.9990889489265039
            ],
            [
                0.5926665999540698,
                0.9989677689279524,
                0.999373665767309,
                0.04208772686428807,
                0.9875683471230058,
                0.9953904282885422,
                0.9820137876033561,
                0.9995121428267525,
                0.9770226294209298,
                0.9994472212721974
            ],
            [
                1.7603432132784448e-06,
                4.222834954687752e-06,
                1.8925145979561802e-05,
                4.785096776394765e-06,
                6.9622595694023114e-06,
                3.726640172290235e-06,
                7.338212429240558e-07,
                6.962256249429175e-06,
                2.260324567302214e-06,
                1.3007133114011233e-05
            ],
            [
                1.0677024881829577e-06,
                4.450848927599543e-07,
                3.288750241410738e-06,
                6.144172404587612e-06,
                1.7603434231097403e-06,
                6.47594643788744e-07,
                4.222834451215781e-06,
                1.2098658277335738e-06,
                1.9947301970287804e-06,
                2.5612812947077304e-06
            ],
            [
                NaN,
                0.00017952790128834164,
                0.0015011824677054124,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                9.610241491147206e-05
            ],
            [
                2.902313023101807e-06,
                8.315277302649045e-07,
                1.0129987355785634e-05,
                3.726640616670918e-06,
                1.994730434798734e-06,
                1.1478768125577027e-05,
                2.2603248367512505e-06,
                4.78509563546605e-06,
                8.939695238089467e-06,
                5.422220260794484e-06
            ],
            [
                NaN,
                0.9999852610233015,
                NaN,
                0.0002959569887234125,
                0.0002611902152616772,
                0.0006263340224633753,
                0.0019267348410796812,
                NaN,
                0.9924227596285723,
                NaN
            ],
            [
                1.8925141472773765e-05,
                1.1478773598914277e-05,
                6.605216036763493e-05,
                NaN,
                2.1444950966608343e-05,
                3.288750633488963e-06,
                1.300713001414004e-05,
                1.8925150486075525e-05,
                8.939694172656384e-06,
                5.422218969029887e-06
            ],
            [
                0.9999251537667609,
                NaN,
                0.0028009273371502486,
                NaN,
                0.9996200154976738,
                0.9999251537996269,
                0.9999724643154813,
                NaN,
                0.9999485577620468,
                0.40733340004593027
            ],
            [
                NaN,
                0.0031726828888755,
                NaN,
                NaN,
                0.0001398220403750017,
                0.8807970748488297,
                0.000804085837466721,
                8.481102095191198e-05,
                NaN,
                0.00037998443207300453
            ],
            [
                0.0001233946036193261,
                7.484623606311329e-05,
                8.939696295042527e-06,
                0.0002611902122598153,
                0.0015011822350992066,
                2.4300240712250633e-05,
                0.00043055713574776397,
                0.00017952805001862485,
                7.484624485357914e-05,
                0.0002034268999648577
            ],
            [
                0.0001088968699628323,
                NaN,
                0.00010889696085529394,
                0.00013982205538476137,
                0.99998987000541,
                0.9999251537995992,
                NaN,
                0.9999417087456708,
                0.0005527785946677719,
                NaN
            ],
            [
                0.00033535015010671644,
                0.0015011823788857839,
                0.0005527785304800827,
                0.0003799844387390491,
                0.0004305569827867927,
                NaN,
                NaN,
                0.017986211212267057,
                NaN,
                0.0006263341696227577
            ],
            [
                NaN,
                0.005911068350031022,
                0.0008040861074019731,
                0.9988304896869402,
                5.8291279411736364e-05,
                0.000335350229106733,
                0.004070137970720976,
                NaN,
                0.053403326786725235,
                NaN
            ],
            [
                0.9991959141503273,
                0.9997040429877256,
                0.999769493266075,
                0.9796676463605257,
                0.9991959139510092,
                0.9997040427609136,
                0.9996200155229892,
                0.10669058613457584,
                0.11920291576401235,
                0.9994472212715543
            ],
            [
                NaN,
                0.00012339463359722775,
                0.0001584362731176335,
                NaN,
                0.00017952790042899172,
                3.1201915049389656e-05,
                0.0002959570962739828,
                7.484621826273621e-05,
                8.481104109174285e-05,
                0.00013982202379876052
            ],
            [
                3.7266383953679482e-06,
                1.1478770861859053e-05,
                NaN,
                8.93969417199781e-06,
                2.9023112920813724e-06,
                NaN,
                2.7535700939406174e-05,
                3.120190017639228e-05,
                1.147876538330323e-05,
                NaN
            ],
            [
                0.00029595701972277226,
                0.00037998448124475914,
                NaN,
                5.144219512778883e-05,
                NaN,
                NaN,
                NaN,
                0.001032230795587521,
                0.00023050674170525505,
                0.0003353502274871203
            ],
            [
                NaN,
                0.9999898700090233,
                0.0019267344779637316,
                NaN,
                NaN,
                NaN,
                0.9999485577986563,
                NaN,
                0.9984988179015329,
                NaN
            ],
            [
                0.9525741266541371,
                0.9859363710584594,
                0.7772998611746912,
                0.9890130555984128,
                0.9914225133191062,
                0.005220126317433733,
                0.9241418210233833,
                0.0007096705207909098,
                0.9914225154099561,
                0.0008040861248925834
            ],
            [
                3.5356267545276676e-05,
                2.260324028372372e-06,
                6.962257909501028e-06,
                4.785095064819011e-06,
                5.422219616085833e-06,
                1.3007130013288297e-05,
                1.8925145982866508e-05,
                3.726640172503764e-06,
                6.9622570777680525e-06,
                4.222834954607099e-06
            ],
            [
                3.7266379512112265e-06,
                2.4300246519706854e-05,
                2.753570421481532e-05,
                1.1478769493331685e-05,
                3.288750633488963e-06,
                1.2098658277181688e-06,
                3.1201926243586504e-05,
                7.889262585441413e-06,
                4.222832436955956e-06,
                3.288748672413347e-06
            ],
            [
                NaN,
                0.00037998452362887115,
                0.00015843629168590728,
                0.00033535002750403534,
                2.430023202131286e-05,
                0.00026119024493071347,
                0.00013982212291039007,
                0.00023050663066281988,
                0.0004305571375764821,
                2.1444940725789744e-05
            ],
            [
                2.5612828203475515e-06,
                2.561282515853595e-06,
                6.605216816665945e-05,
                1.994730672468935e-06,
                4.4508510498604413e-07,
                2.902311984683171e-06,
                6.1441775312976045e-06,
                3.726641060956752e-06,
                1.0677029972639127e-06,
                4.785096776303374e-06
            ],
            [
                1.2098653950480359e-06,
                2.9023123310290063e-06,
                1.8925155008528632e-05,
                2.9023133687311063e-06,
                7.889260704531226e-06,
                6.962254589705982e-06,
                6.9622537584863015e-06,
                3.535626333281696e-05,
                4.222833947897496e-06,
                0.00043055713349318
            ],
            [
                8.481104128178784e-05,
                4.006367780569929e-05,
                9.610244913374722e-05,
                6.605217600797426e-05,
                0.00012339455958160968,
                6.605214449134391e-05,
                0.9840936061597468,
                0.00013982209038651802,
                0.00017952794428457408,
                4.539785768997102e-05
            ],
            [
                0.00029595699254666665,
                0.0003353502673139849,
                0.0008040859351148059,
                0.0011695102252105374,
                0.00020342704485451672,
                0.0005527787406336923,
                0.00020342704499362032,
                NaN,
                0.0004305569854296652,
                0.8519527944504227
            ],
            [
                0.9995121428888832,
                0.0009110509983678369,
                0.9971990729249267,
                0.0001233945451573219,
                0.9465966752847802,
                0.00026119037014259557,
                0.5,
                0.5926665999540698,
                0.8670357494949105,
                0.7772998508568416
            ],
            [
                2.5612812946890944e-06,
                4.222832940339353e-06,
                3.726638839806038e-06,
                1.209865395009523e-06,
                7.338210679949506e-07,
                6.144177531599359e-06,
                4.222834954607099e-06,
                1.370957860567974e-06,
                9.422445938917108e-07,
                6.475945665800774e-07
            ]
        ]
    },
    {
        "q_id": "10657_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            40,
            41,
            73
        ],
        "rewards": [
            [
                9.61024606427877e-05,
                6.605212099288318e-05,
                0.0002305068230420619,
                NaN,
                0.00020342706846661308,
                2.4300246516082393e-05,
                2.7535697639856078e-05,
                0.999978555046553,
                6.605216036763493e-05,
                0.00017952800711117534
            ],
            [
                0.995390427354846,
                NaN,
                6.605214463262879e-05,
                1.670142581574095e-05,
                0.9964063967199442,
                0.9968273175043376,
                0.9999417087276407,
                0.9999599362890589,
                NaN,
                0.9990889489445177
            ],
            [
                NaN,
                NaN,
                NaN,
                0.0003799844334216901,
                0.00017952794414613775,
                NaN,
                8.481107148352178e-05,
                0.0001233946334266641,
                NaN,
                NaN
            ],
            [
                0.9998601778965629,
                NaN,
                0.9940889299589445,
                NaN,
                0.996827316507314,
                0.9998601778623769,
                0.20181321986003056,
                0.9992903295100858,
                0.00010889690912498188,
                NaN
            ],
            [
                0.00017952790035063155,
                NaN,
                0.9998766053671335,
                1.8925150487521332e-05,
                0.9924227577691739,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.00010889692208924732,
                NaN,
                0.0004878571038506931,
                0.00012339456911341837,
                0.0001233946037378229,
                8.481102079395255e-05,
                NaN,
                NaN,
                0.00010889688298571906
            ],
            [
                NaN,
                0.00020342706880993266,
                6.605214450431904e-05,
                0.00013982205694717612,
                5.144222586301276e-05,
                0.00010889686999293754,
                1.4738983723664288e-05,
                7.484621826273621e-05,
                3.5356242266024216e-05,
                0.0001233945600681646
            ],
            [
                0.9999832985801483,
                0.9999038975971289,
                0.9998204720630369,
                0.9999832985722157,
                0.9997040427622138,
                0.999664649937528,
                0.9999038975393788,
                1.7603438427660027e-06,
                0.9999339478317925,
                0.9998601779435574
            ],
            [
                1.8925150495232307e-05,
                1.4738978456398127e-05,
                1.6701425819994037e-05,
                3.5356250699942575e-05,
                1.8925150491445666e-05,
                3.12019076377484e-05,
                4.006370646616669e-05,
                0.9998911030395773,
                5.144222589108318e-05,
                1.8925150489517924e-05
            ],
            [
                0.9999945777790923,
                0.0004878570423159905,
                0.9999251537461697,
                0.9999417087349352,
                0.999975699753502,
                0.9998204720555091,
                0.9997694932863974,
                0.9998766054404579,
                0.9999869928653343,
                0.9999898700054003
            ],
            [
                0.9999885212332581,
                0.9999852610145223,
                0.9998766054123024,
                0.9998911030522437,
                0.9999251537555195,
                6.605216823009351e-05,
                0.9999687980777515,
                0.320821300824607,
                0.9998204721010467,
                1.3007133114602719e-05
            ],
            [
                0.9998204720990016,
                0.9999810748472621,
                0.9995694430156976,
                0.00017952790146334602,
                6.60521365202814e-05,
                0.9996646499367474,
                5.144222589108318e-05,
                2.7535694380675497e-05,
                0.9990889487838768,
                0.9988304898635907
            ],
            [
                0.9964063968374951,
                0.0004305571354596783,
                2.4300237832303074e-05,
                0.9999339478792858,
                3.1201926241089315e-05,
                0.9947798735906777,
                1.8925143725892257e-05,
                0.999820472044638,
                0.13296424535145931,
                0.9998766054118535
            ],
            [
                0.0002611902761196836,
                0.00017952802935764314,
                0.0002959570275328892,
                4.53978847572308e-05,
                9.610244907641526e-05,
                2.4300234889679123e-05,
                NaN,
                9.610243757506701e-05,
                0.00037998447676756454,
                0.00020342704331549827
            ],
            [
                1.670142777653674e-05,
                6.605214457207814e-05,
                0.9998601778933708,
                0.9999785550592685,
                0.9998766053667745,
                4.5397852399094525e-05,
                2.4300234933172706e-05,
                4.0063706455673046e-05,
                0.9998204719702819,
                0.999959936298309
            ],
            [
                0.9999038975859632,
                3.5356267541418054e-05,
                0.9997965729563767,
                0.9947798748094108,
                NaN,
                4.0063687388140825e-05,
                0.9999339478644184,
                1.012999459934851e-05,
                3.5356254890278004e-05,
                0.999569442923385
            ],
            [
                NaN,
                0.9999756997592965,
                0.0001233945304691113,
                4.539787397134796e-05,
                2.753568124458694e-05,
                NaN,
                0.00012339458891494985,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                7.484624505179073e-05,
                0.00015843615799899502,
                2.1444948397509574e-05,
                0.00015843619716638562,
                8.481108167314633e-05,
                0.0001795279219780407,
                2.7535684513582775e-05,
                6.605217591282316e-05,
                NaN
            ],
            [
                2.1444940732342966e-05,
                0.00043055718215462036,
                0.00017952790088870477,
                5.144219520488886e-05,
                0.0002611904296782979,
                9.610244913374722e-05,
                NaN,
                6.605214465281235e-05,
                0.0007096705016374793,
                5.144220123104232e-05
            ],
            [
                2.4300249404340734e-05,
                0.9998766054420576,
                0.9999251537908795,
                3.1201915071864306e-05,
                0.9999038975858388,
                3.120191135991401e-05,
                NaN,
                1.1478769492392108e-05,
                4.0063706492255065e-05,
                NaN
            ],
            [
                2.144494072376136e-05,
                2.7535700906750255e-05,
                9.61024148597335e-05,
                4.5397868609620665e-05,
                9.610241479471069e-05,
                0.00010889688273853931,
                0.00010889693455123212,
                7.484626284672882e-05,
                0.000158436178074846,
                3.120191506039996e-05
            ],
            [
                0.9988304898973162,
                0.9999251537730818,
                2.430023201636237e-05,
                0.9999251537486321,
                NaN,
                0.9999546021098021,
                9.610246066446198e-05,
                1.8925141469400216e-05,
                0.9998204720598868,
                NaN
            ],
            [
                6.605217613916744e-05,
                NaN,
                0.9626731121204183,
                2.4300237830711845e-05,
                9.61024261212637e-05,
                2.4300234899049692e-05,
                0.00017952805093282765,
                2.7535700908352998e-05,
                4.006369694347607e-05,
                4.5397852355660356e-05
            ],
            [
                NaN,
                7.484624471254397e-05,
                0.0010322312624365634,
                NaN,
                0.00013982210684477224,
                NaN,
                NaN,
                0.00010889694815087969,
                5.829129318735924e-05,
                0.0001398221064806155
            ],
            [
                NaN,
                0.9995694429165085,
                0.010986944108108175,
                2.1444940718222327e-05,
                NaN,
                0.9999898700053991,
                NaN,
                0.0002305066327286004,
                0.9999038976085688,
                0.9997388095766903
            ],
            [
                0.00017952794403904547,
                5.8291251550907405e-05,
                0.00026119027558770794,
                NaN,
                NaN,
                0.00020342692379595132,
                NaN,
                NaN,
                0.00015843619734157965,
                NaN
            ],
            [
                0.00026119027764721366,
                8.481103096382608e-05,
                0.0005527786634219284,
                0.00015843615943512485,
                0.0005527787401834778,
                NaN,
                0.00026119033324627423,
                0.00017952790088870477,
                NaN,
                0.0001088969335625126
            ],
            [
                NaN,
                NaN,
                NaN,
                7.484625391903742e-05,
                NaN,
                NaN,
                NaN,
                0.9999151889489901,
                NaN,
                NaN
            ],
            [
                0.00015843629162597242,
                2.1444953481409255e-05,
                3.120190392137216e-05,
                0.00015843615928528784,
                0.0002034269232780127,
                7.484625389072146e-05,
                0.9998766054171158,
                3.120190391853445e-05,
                0.9980732656765061,
                0.9999810748495344
            ],
            [
                2.144494328864643e-05,
                5.8291258547708845e-05,
                0.9996646499920582,
                4.0063701690975316e-05,
                1.4738985459965214e-05,
                0.9997388097902481,
                5.1442195174572826e-05,
                0.9998601779033414,
                0.9999832985762097,
                6.605217602719671e-05
            ],
            [
                0.9840936053433594,
                NaN,
                0.9999339478792628,
                9.610243777782634e-05,
                0.9998601778602448,
                5.144220746828593e-05,
                0.00023050671179166796,
                0.9914225141348545,
                NaN,
                NaN
            ],
            [
                5.1442238173201186e-05,
                5.8291251569143705e-05,
                8.481108174842393e-05,
                0.999841563789422,
                0.0003353500276211157,
                9.610242617999399e-05,
                6.605216038829905e-05,
                0.0002034269481272285,
                6.605212100874168e-05,
                7.484625400997517e-05
            ],
            [
                7.484621829540844e-05,
                9.610246065397443e-05,
                9.610243784914168e-05,
                0.0008040860432853277,
                NaN,
                0.000158436273198315,
                4.5397879357517954e-05,
                8.481108169906156e-05,
                5.829125145633312e-05,
                NaN
            ],
            [
                0.999447221407133,
                0.9984988174555154,
                NaN,
                0.9991959142530729,
                NaN,
                NaN,
                1.012999339309804e-05,
                0.9971990724066255,
                NaN,
                1.4738987238035806e-05
            ],
            [
                5.1442219666936855e-05,
                4.0063677800452475e-05,
                2.7535700931292276e-05,
                5.144221358089769e-05,
                5.8291251409258024e-05,
                5.144219522921654e-05,
                0.00012339453017107404,
                6.605215242107913e-05,
                NaN,
                1.4738980211116665e-05
            ],
            [
                0.999975699759281,
                2.7535697655983693e-05,
                7.88926258185382e-06,
                NaN,
                0.99966464997394,
                1.3007128447264502e-05,
                NaN,
                0.9999546021368476,
                0.9999417087283082,
                0.9995121428251914
            ],
            [
                0.9999417087485378,
                8.481105139057794e-05,
                0.9988304896290086,
                0.9999339478715047,
                1.3007125360809367e-05,
                0.9999599363031965,
                0.9999921107355387,
                0.9995694429815782,
                0.9999485577620861,
                4.5397852361605714e-05
            ],
            [
                0.00010889694799084654,
                4.539785776065476e-05,
                3.53562590871736e-05,
                0.0003353500685114367,
                1.8925152750692706e-05,
                0.0001233945451573219,
                0.9992903297630431,
                NaN,
                8.481107150203266e-05,
                1.8925148236123232e-05
            ],
            [
                5.8291265499980624e-05,
                1.0129992185760567e-05,
                4.006370650260296e-05,
                0.9999910603058737,
                NaN,
                5.144223195167328e-05,
                0.9999930377412694,
                0.9999756997680848,
                0.9999832985702742,
                4.0063706490068886e-05
            ],
            [
                1.3007123810306773e-05,
                1.0129990979381404e-05,
                1.4738985483879434e-05,
                6.605213676488686e-05,
                2.1444948410303962e-05,
                0.9959298628390557,
                0.9994472213431705,
                3.120191136400031e-05,
                2.1444948410303962e-05,
                0.9999251537997412
            ],
            [
                4.006368732226408e-05,
                0.9994472213964565,
                NaN,
                0.9999646437620092,
                0.9997388097423703,
                NaN,
                0.9999869928700129,
                0.9999599362887558,
                0.9995694429158196,
                NaN
            ],
            [
                0.9986749775159298,
                0.9989677691847254,
                0.992422757128364,
                0.9988304897988597,
                0.9990889489099206,
                0.9996200154732647,
                1.1478769490700865e-05,
                0.9796676443570213,
                0.9996200155229119,
                0.9999810748518333
            ],
            [
                7.88926258532661e-06,
                0.9992903296341289,
                1.6701429800582296e-05,
                1.4738988996240646e-05,
                1.1478768124783601e-05,
                1.4738978456719842e-05,
                0.9959298626446338,
                1.473897670007122e-05,
                1.1478772229300848e-05,
                1.67014178590634e-05
            ],
            [
                0.9997388097909472,
                0.9999810748450456,
                0.9999756997563805,
                0.999664649821755,
                0.9993736658663017,
                0.999769493367486,
                0.9997388095752462,
                0.9996646497968266,
                0.00033535026671882595,
                NaN
            ],
            [
                5.8291272448012225e-05,
                NaN,
                2.430023203572232e-05,
                1.14787681240737e-05,
                0.9988304898232018,
                1.67014178554179e-05,
                NaN,
                1.0129988562661878e-05,
                0.9996646498924813,
                NaN
            ],
            [
                3.120191879107958e-05,
                9.610244917849409e-05,
                4.539786857361818e-05,
                0.00010889690882234504,
                5.144219514537961e-05,
                6.605217610793098e-05,
                0.00017952800762574078,
                3.535626754334737e-05,
                0.00012339455989760105,
                9.610237939294857e-05
            ],
            [
                3.5356259098234985e-05,
                2.7535684521195802e-05,
                5.422219616085833e-06,
                6.962257079059797e-06,
                6.1441767989541075e-06,
                1.4738988993532872e-05,
                4.5397863201321984e-05,
                4.53978848619353e-05,
                3.1201915067096954e-05,
                NaN
            ],
            [
                NaN,
                9.61023798921557e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                4.539788481371178e-05,
                2.4300234931404677e-05,
                NaN,
                NaN
            ],
            [
                7.88926070328992e-06,
                3.535626333809042e-05,
                1.892514597832254e-05,
                NaN,
                1.6701417847458553e-05,
                3.120191134788212e-05,
                0.9980732650004209,
                NaN,
                1.1478765385098868e-05,
                1.4738985482351282e-05
            ],
            [
                1.89251572498413e-05,
                4.7850950643402904e-06,
                5.422221555069497e-06,
                2.7535704207102113e-05,
                6.9622537593854575e-06,
                1.8925150494750372e-05,
                3.1201903920010065e-05,
                0.9875683503130764,
                1.6701419849933667e-05,
                1.0129988564264954e-05
            ],
            [
                2.1444945852673643e-05,
                0.00023050668643219275,
                NaN,
                1.6701429785817993e-05,
                NaN,
                NaN,
                NaN,
                0.9994472214695199,
                9.610246047009266e-05,
                7.484625374914174e-05
            ],
            [
                NaN,
                0.9999756997622014,
                NaN,
                0.001169510331282494,
                0.000261190336894108,
                NaN,
                NaN,
                7.484621783418546e-05,
                NaN,
                2.1444950950771382e-05
            ],
            [
                2.1444950965906214e-05,
                4.0063701703217896e-05,
                3.5356242257020764e-05,
                0.00013982202290973046,
                0.00013982202350580785,
                1.4738976699427788e-05,
                9.610239156968782e-05,
                0.9999910603058532,
                0.00013982212355325894,
                NaN
            ],
            [
                7.8892625849535e-06,
                1.4738980211116665e-05,
                2.1444940733201126e-05,
                NaN,
                2.1444940737257882e-05,
                2.1444940712293222e-05,
                1.1478773598329648e-05,
                1.473898723508674e-05,
                7.48462268811262e-05,
                0.9997388097558368
            ],
            [
                NaN,
                0.9990889490208116,
                2.902311638759718e-06,
                0.9991959140829838,
                8.481103079352604e-05,
                NaN,
                7.484620922668724e-05,
                0.9978172831550647,
                NaN,
                2.144495351940237e-05
            ],
            [
                0.00010889686985667178,
                3.535625067589049e-05,
                NaN,
                2.4300246507772637e-05,
                NaN,
                0.0004305571339941987,
                8.481102091427321e-05,
                NaN,
                9.610238034242095e-05,
                NaN
            ],
            [
                0.9999546021152427,
                0.9999687980743689,
                2.430023781329673e-05,
                3.1201900154598675e-05,
                0.9999251537908708,
                2.1444950954750122e-05,
                2.1444950963097686e-05,
                0.9999646437367928,
                6.962257079376403e-06,
                8.939696301384342e-06
            ],
            [
                0.047425875365417064,
                0.9840936104457801,
                0.9999417087345305,
                1.473897669838221e-05,
                0.9996200154434167,
                NaN,
                5.422217029006611e-06,
                0.9988304897066587,
                1.0129988563343644e-05,
                2.144495863201265e-05
            ],
            [
                3.5356250696598434e-05,
                0.9997040428020223,
                0.0002611902758992937,
                0.9986749775622984,
                0.994779873559242,
                0.9997965730766273,
                NaN,
                9.610241465487671e-05,
                0.00012339455994966783,
                4.0063677828144015e-05
            ],
            [
                0.9959298621387593,
                4.0063682625048554e-05,
                1.8925148236674017e-05,
                2.4300249418927004e-05,
                0.9959298617952177,
                0.9997388096303742,
                5.144220118088988e-05,
                NaN,
                6.962254588977791e-06,
                4.006370170788174e-05
            ],
            [
                0.9999251537462678,
                0.9998766053681372,
                3.5356250605663566e-05,
                0.9991959139084519,
                NaN,
                0.9989677689710481,
                NaN,
                1.300712688450591e-05,
                1.892514146382353e-05,
                NaN
            ],
            [
                0.9995694428325003,
                0.9986749775570607,
                2.7535694375867267e-05,
                4.006369694959736e-05,
                0.9999339478793858,
                NaN,
                4.5397863120399e-05,
                0.00012339458903165123,
                3.5356246483883486e-05,
                3.535625068000635e-05
            ],
            [
                0.9975273767020927,
                0.999891103042347,
                0.9990889486931188,
                3.120190020204515e-05,
                0.999512142816421,
                0.9999810748542273,
                2.753570415911994e-05,
                NaN,
                8.939693106329072e-06,
                1.6701423823533284e-05
            ],
            [
                1.67014257721164e-05,
                0.00015843623532872504,
                6.605214465761795e-05,
                2.7535694378772238e-05,
                2.7535700932494338e-05,
                0.9914225150456414,
                0.0002611902715522927,
                3.120191136263821e-05,
                NaN,
                5.144221362094481e-05
            ],
            [
                0.0007096703392461296,
                0.9999945777784471,
                6.60521287717195e-05,
                9.610245991215482e-05,
                3.1201918802543923e-05,
                NaN,
                0.00010889694679614365,
                0.00043055708485679605,
                NaN,
                NaN
            ],
            [
                7.484625390487944e-05,
                NaN,
                NaN,
                5.829129318735924e-05,
                NaN,
                9.610243765756909e-05,
                0.00026119027671245645,
                NaN,
                NaN,
                NaN
            ],
            [
                8.939695237504067e-06,
                1.670142980726572e-05,
                2.144494328685209e-05,
                0.9995121429046075,
                5.829127243528923e-05,
                6.605212087995142e-05,
                2.7535697655983693e-05,
                0.9980732654221905,
                3.7266392839425286e-06,
                0.9953904285150224
            ],
            [
                0.00026119027360419877,
                NaN,
                NaN,
                NaN,
                7.484625392611642e-05,
                4.539786315904385e-05,
                5.8291251564902706e-05,
                8.481103101257137e-05,
                0.00013982202350580785,
                NaN
            ],
            [
                0.9996646498578938,
                0.9998204719923742,
                0.9997694933717384,
                0.01798620756043887,
                0.9996646498539716,
                NaN,
                0.9989677688039474,
                0.99970404276478,
                0.008577487282805132,
                5.144221968003638e-05
            ],
            [
                0.9999546021262572,
                0.9998601778768312,
                0.9998601778762657,
                NaN,
                0.9999251537378503,
                NaN,
                0.999704042795719,
                NaN,
                NaN,
                5.1442238154113305e-05
            ],
            [
                0.00015843627280412822,
                NaN,
                0.0001398220404197584,
                4.539785232659414e-05,
                0.00043055712924704685,
                0.0001233946031291802,
                5.829129324249228e-05,
                0.000295957021694676,
                8.481106137534633e-05,
                NaN
            ],
            [
                0.9999038975754001,
                NaN,
                NaN,
                NaN,
                0.9994472213356455,
                0.9999251537998709,
                0.9982992772604601,
                0.9999646437619967,
                NaN,
                1.6701417851711638e-05
            ],
            [
                0.0003799845235514875,
                NaN,
                0.0001398220399782949,
                NaN,
                0.00012339460294604875,
                0.00010889690916459403,
                9.610239185355072e-05,
                0.0003353499873162014,
                NaN,
                NaN
            ],
            [
                NaN,
                0.0001584361786303955,
                7.48462003289518e-05,
                NaN,
                2.4300246505474193e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                8.481104127376647e-05
            ],
            [
                0.9999687980738688,
                0.999988521233278,
                0.00013982203992946946,
                8.481105122953328e-05,
                0.00010889687022902587,
                5.144222588097783e-05,
                0.00037998451448654927,
                0.9999485577804801,
                4.5397863181173815e-05,
                2.43002436174814e-05
            ],
            [
                4.5397879346287815e-05,
                9.610238030606413e-05,
                NaN,
                0.00020342692388770046,
                0.000123394589256077,
                NaN,
                5.8291258415389654e-05,
                0.9997388097132484,
                NaN,
                0.00020342704326222456
            ],
            [
                0.9999910603037018,
                0.999925153755067,
                NaN,
                0.9997388096297813,
                NaN,
                0.9998204720345321,
                0.9999646437457602,
                0.9999832985702006,
                0.9999339478475914,
                0.99962001540373
            ],
            [
                6.962257075741783e-06,
                6.144176799166453e-06,
                6.962255417721724e-06,
                0.9996646498950278,
                NaN,
                0.9968273169682718,
                2.7535697645265342e-05,
                1.4738976693529666e-05,
                NaN,
                3.726641060773727e-06
            ],
            [
                5.82912445833697e-05,
                0.9996200155206787,
                1.8925155003330605e-05,
                NaN,
                4.539785781036459e-05,
                0.9998415637461353,
                0.9999251537913021,
                0.9999832985761876,
                3.535625067589049e-05,
                0.9999885212359858
            ],
            [
                0.9975273766504075,
                0.9995694429665227,
                2.1444943298944354e-05,
                2.1444950946558592e-05,
                0.37754066879814546,
                0.9997965731004437,
                0.995929862348282,
                0.9996646498109543,
                0.9997965730044946,
                0.9991959139646649
            ],
            [
                8.939696302051047e-06,
                0.9997040427649866,
                0.9996646498166522,
                2.7535697645265342e-05,
                3.535625910055016e-05,
                0.9999417087554264,
                0.9999810748452046,
                8.481102100559352e-05,
                3.535625912022914e-05,
                0.9999339478319247
            ],
            [
                5.144222587049821e-05,
                6.605214463743442e-05,
                6.605212097654411e-05,
                2.4300237810821485e-05,
                3.535625904292805e-05,
                NaN,
                2.4300234933172706e-05,
                NaN,
                2.7535687760040406e-05,
                2.430023493228869e-05
            ],
            [
                1.6701419852819694e-05,
                5.144220750533887e-05,
                0.0004305571380524498,
                8.939699500164542e-06,
                4.539787941498982e-05,
                6.605215244462661e-05,
                9.610240315213426e-05,
                3.53562506982705e-05,
                0.0001088968831679349,
                8.9397005654763e-06
            ],
            [
                NaN,
                5.8291251550907405e-05,
                0.0002959572398097085,
                4.539789027816371e-05,
                0.00010889689603554361,
                9.610244932322232e-05,
                0.00048785705389632134,
                0.00029595706333715465,
                0.00026119024610105974,
                1.0129995808418327e-05
            ],
            [
                NaN,
                NaN,
                2.7535700911558485e-05,
                6.605212070550788e-05,
                4.006370641748784e-05,
                5.8291244607543396e-05,
                0.0,
                NaN,
                6.962257079173776e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                9.610241463110493e-05,
                NaN,
                0.00020342694712686694,
                0.0002611902769328464,
                0.00012339461836499843,
                NaN,
                4.264746850331398e-05,
                NaN
            ],
            [
                1.892514598469098e-05,
                5.4222202623972055e-06,
                2.753568124458694e-05,
                1.0129993393945642e-05,
                8.939699499432793e-06,
                1.1478770862067849e-05,
                7.889263525405172e-06,
                4.5397879445707534e-05,
                2.7535700939406174e-05,
                1.1478773598329648e-05
            ],
            [
                0.0003353501452966629,
                9.610242628137363e-05,
                2.753569109034197e-05,
                0.0003799844807141287,
                0.00012339458944639003,
                5.829124465589078e-05,
                0.00029595698229104576,
                7.48462449330816e-05,
                0.9998415637111518,
                6.605212887648175e-05
            ],
            [
                0.00012339463340871004,
                0.00023050668227380254,
                0.0002959570877061016,
                8.48110412132976e-05,
                0.00013982202357701158,
                NaN,
                8.48110613938572e-05,
                5.1442195225848094e-05,
                0.00017952798707185626,
                NaN
            ],
            [
                0.9999952149038008,
                0.9998204719717002,
                2.144495607336692e-05,
                0.9999339478556374,
                0.00023050676894271972,
                0.9997040430108719,
                2.4300237828943813e-05,
                2.1444953521586782e-05,
                2.4300234931404677e-05,
                0.9999417087422035
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.00013982203927439459,
                7.484622675479357e-05,
                NaN,
                NaN,
                NaN,
                4.539785230545508e-05
            ],
            [
                4.53978686205205e-05,
                0.00026119021350615797,
                0.9999485577866777,
                NaN,
                7.484620883080879e-05,
                5.144221974590828e-05,
                7.484621817070943e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                6.605215243309315e-05,
                NaN,
                0.9996200154458267,
                NaN,
                3.120192622962497e-05,
                4.5397863184146494e-05,
                0.00015843623241727588,
                0.18242551936144574,
                4.539788481371178e-05,
                2.4300246520590875e-05
            ],
            [
                NaN,
                0.00013982210684477224,
                NaN,
                0.001501182041057148,
                NaN,
                0.00013982212329285637,
                NaN,
                NaN,
                0.0002034269963280861,
                NaN
            ],
            [
                3.535625912717466e-05,
                4.539786855677299e-05,
                0.9993736658798554,
                0.9998415637285121,
                4.006370171677219e-05,
                4.006367784548767e-05,
                NaN,
                5.829126542194621e-05,
                4.785096205973894e-06,
                0.9998601778782451
            ],
            [
                0.08509904964767095,
                NaN,
                0.09534946297109421,
                0.9953904278355821,
                0.9998766053684263,
                0.6513548511303338,
                0.9770226301736049,
                0.005220125122881798,
                0.017986214107410636,
                0.14804720179063333
            ],
            [
                8.939697366793286e-06,
                0.9999339478397501,
                2.4300237826203363e-05,
                NaN,
                2.753568117757223e-05,
                0.9999038975401187,
                NaN,
                9.610239190878512e-05,
                3.535623804983752e-05,
                1.3007133114011233e-05
            ],
            [
                0.9995694428482823,
                0.9999151889600917,
                0.9999251537556915,
                0.9999724643122979,
                NaN,
                0.999841563747357,
                8.939696302457574e-06,
                6.144173136455602e-06,
                0.996827317862942,
                NaN
            ],
            [
                0.00013982209055944157,
                0.9999339478792628,
                0.0005527785321201488,
                NaN,
                NaN,
                9.610239201366058e-05,
                0.9999687980739775,
                7.484621819303545e-05,
                6.605213678458984e-05,
                9.610240351710089e-05
            ],
            [
                2.753568452790729e-05,
                1.4738978441143436e-05,
                2.144495351004062e-05,
                6.605213670529732e-05,
                NaN,
                0.9890130552846937,
                8.939693104637921e-06,
                NaN,
                1.1478772229551402e-05,
                0.9999885212305241
            ],
            [
                0.9991959142308589,
                NaN,
                0.9890130584927229,
                0.9706877684006774,
                0.9933071479086201,
                1.6701419843189485e-05,
                0.9986749777449999,
                1.0129990977004428e-05,
                1.0129990977262395e-05,
                0.9953904271689613
            ],
            [
                0.9324533079218341,
                0.0003353502623380657,
                4.006371127619171e-05,
                0.9988304894874432,
                6.605216829977486e-05,
                0.9991959139730829,
                0.9994472213463863,
                2.7535681246690542e-05,
                0.9993736659089303,
                0.9984988175876105
            ],
            [
                2.1444953520884646e-05,
                NaN,
                0.9999756997564069,
                0.9994472214226011,
                0.9984988177249406,
                3.2887482812506295e-06,
                0.9996200155329386,
                2.14449534784447e-05,
                0.9975273774308525,
                1.8925155003330605e-05
            ],
            [
                2.4300243621371074e-05,
                9.610243638507956e-05,
                0.9997694933715304,
                4.539786301833694e-05,
                4.006371126336615e-05,
                3.120190389923804e-05,
                1.4738987239295859e-05,
                2.753570093009022e-05,
                0.9999910603026334,
                NaN
            ],
            [
                0.9998766054428369,
                0.9996200155654729,
                0.9994472214894901,
                0.9840936105040936,
                NaN,
                NaN,
                4.539786858947248e-05,
                1.1478772229781076e-05,
                1.1478768122069266e-05,
                5.144221964448053e-05
            ],
            [
                7.48462092936653e-05,
                0.9997040428355016,
                0.0007096705345780779,
                4.006368258380272e-05,
                0.9994472214196104,
                8.939697367037201e-06,
                NaN,
                0.999569442922884,
                0.9995121429009177,
                0.9995121428826957
            ],
            [
                1.0129995802042874e-05,
                8.481107135579669e-05,
                0.00015843621625101194,
                6.605216819020694e-05,
                7.484620916297642e-05,
                NaN,
                2.4300237828943813e-05,
                5.144220745705777e-05,
                5.1442207367232475e-05,
                5.144220742524465e-05
            ],
            [
                7.484624501203951e-05,
                0.00013982207335253211,
                0.00017952792261014615,
                6.605214467203479e-05,
                0.00012339453030393402,
                0.0001233945304691113,
                5.8291286244838475e-05,
                NaN,
                4.5397857790051276e-05,
                0.00029595716755531897
            ],
            [
                0.0002611903974861549,
                6.605215240858454e-05,
                4.539785198671766e-05,
                NaN,
                0.0004878571718,
                8.481102103150874e-05,
                2.753568452790729e-05,
                NaN,
                4.53978847760578e-05,
                NaN
            ],
            [
                0.00015843625374715726,
                0.00012339463340871004,
                0.00020342697175707153,
                0.997817283102327,
                NaN,
                0.00020342690027266118,
                9.610246043233746e-05,
                9.610238021936711e-05,
                NaN,
                0.00010889686993272709
            ],
            [
                NaN,
                0.43782349911420193,
                0.999820472083374,
                NaN,
                0.9998415637087682,
                0.99996464375374,
                1.0129994598777299e-05,
                0.994088931879817,
                NaN,
                0.9999417087485437
            ],
            [
                0.9999687980812931,
                0.9999910603037672,
                1.3007131563815288e-05,
                0.9999945777829701,
                NaN,
                0.9998911031040516,
                1.147877222879974e-05,
                0.9997388096327985,
                8.481106114025814e-05,
                8.93969417199781e-06
            ],
            [
                2.4300234924597754e-05,
                NaN,
                0.00023050674008884815,
                0.00012339457468994874,
                0.00026119027604368705,
                0.9820137911564865,
                8.481105129493839e-05,
                0.00015843615991460315,
                NaN,
                0.00013982210674915566
            ],
            [
                NaN,
                NaN,
                0.00012339457438472975,
                2.7535684513582775e-05,
                3.120192619909121e-05,
                NaN,
                NaN,
                0.0001233946184439963,
                0.00026119024477872047,
                0.00026119030826621373
            ],
            [
                4.0063711285810896e-05,
                0.00012339457430752727,
                0.00010889690867815683,
                NaN,
                5.1442232001825764e-05,
                0.00029595709703174506,
                7.484620039429623e-05,
                0.00012339458883415657,
                4.0063706453049636e-05,
                NaN
            ],
            [
                NaN,
                6.605215228748319e-05,
                6.605212097077738e-05,
                4.5397873994468824e-05,
                6.605216036234875e-05,
                9.610242622613922e-05,
                3.535624641674347e-05,
                NaN,
                5.829125857188255e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.0003353501863431056,
                0.0004305571365243429,
                NaN,
                NaN,
                NaN,
                NaN,
                0.000335350186821184
            ],
            [
                0.9980732654862171,
                0.9995121427665518,
                0.9999417087489033,
                0.999860177976541,
                0.993307149917757,
                7.889262585541864e-06,
                0.9999599363226922,
                0.9996200155357022,
                0.9982992776877867,
                0.9999251537372409
            ],
            [
                4.5397890254712545e-05,
                1.6701425822059825e-05,
                8.939698431942181e-06,
                1.1478765388105516e-05,
                3.535624646549072e-05,
                0.9971990736292178,
                1.6701417858577338e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                4.5397879405741464e-05,
                NaN,
                0.00010889690892692112,
                5.8291279281113516e-05,
                3.535626750874837e-05,
                8.481107119166687e-05,
                NaN,
                5.144222553327895e-05,
                NaN,
                8.481103080463257e-05
            ],
            [
                0.00020342694641063176,
                0.00010889694796391029,
                7.484622714958306e-05,
                NaN,
                9.610241417664451e-05,
                2.4300252297461515e-05,
                NaN,
                7.484620916297642e-05,
                0.00020342701953766435,
                0.00020342692153181973
            ],
            [
                0.00015843615838396078,
                5.144220128531177e-05,
                NaN,
                NaN,
                3.1201926241089315e-05,
                7.484626283311537e-05,
                0.0001584361600736609,
                0.0004305571679757908,
                7.484626276668181e-05,
                NaN
            ],
            [
                NaN,
                0.9999151889185052,
                3.1201922486004504e-05,
                0.9986749773648081,
                0.9993736658439674,
                NaN,
                0.9997694931761866,
                0.9999038975399955,
                0.9997388096144605,
                0.9999646437577681
            ],
            [
                1.0129987356541108e-05,
                1.1478772227651366e-05,
                0.9989677687633728,
                1.8925145981283003e-05,
                2.4300232027942982e-05,
                6.962254589528684e-06,
                1.012999097997104e-05,
                6.962258739169842e-06,
                1.0129995809431767e-05,
                3.1201922525618933e-05
            ],
            [
                0.9998204720992628,
                0.9991959141520108,
                NaN,
                2.4300240728162926e-05,
                0.9964063968333267,
                0.9997694932850896,
                0.9999151889395582,
                0.9998601778596243,
                0.9994472212605884,
                7.889266343575084e-06
            ],
            [
                0.0002611902140305338,
                0.00020342692185146182,
                0.0003799845267352708,
                0.0002305068239877609,
                0.00020342699674539676,
                4.0063677765182186e-05,
                0.0001233945743452308,
                9.610243764498401e-05,
                5.8291265478351516e-05,
                NaN
            ],
            [
                0.00023050674198695254,
                0.0001398220233166092,
                0.0001398220215609274,
                0.00023050682460481271,
                6.605215250037168e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00037998447986290894
            ]
        ]
    },
    {
        "q_id": "10620_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            34,
            84
        ],
        "rewards": [
            [
                0.9999997617631184,
                0.9999994284995529,
                0.9999994284996893,
                0.9999989322970027,
                0.9999970976880149,
                0.9999996072136125,
                0.999999730042126,
                0.9999994956524115,
                0.9999991684720715,
                0.999999057755743
            ],
            [
                0.9999995549150011,
                0.99999862904312,
                0.9999990577552937,
                0.9999989322975118,
                0.9999987901341723,
                0.9999991684719723,
                0.9999996533672135,
                0.9999974387177893,
                0.9999994956525317,
                0.9999977396765105
            ],
            [
                0.999999789756634,
                0.9999993524052019,
                0.9999993524050473,
                0.9999993524052018,
                0.9999996072137061,
                0.9999993524053562,
                0.9999996072136125,
                0.9999997617631752,
                0.9999991684717742,
                0.9999993524053562
            ],
            [
                0.9999997617631468,
                0.999999554914789,
                0.9999997897566589,
                0.9999990577551815,
                0.9999990577555185,
                0.9999996533672136,
                0.9999994284996211,
                0.9999993524051246,
                0.9999997897566589,
                0.999999352404893
            ],
            [
                0.9999996072136125,
                0.9999994284996891,
                0.9999992661792819,
                0.9999994284997573,
                0.9999989322972572,
                0.9999994284996891,
                0.9999998144608981,
                0.9999980052700407,
                0.9999756997650621,
                0.9999987901337396
            ],
            [
                0.9999974387165682,
                0.9999986290423029,
                0.999999057755743,
                0.9999977396754327,
                0.9999990577557432,
                0.9999977396751633,
                0.9999957771665555,
                0.9999982396563669,
                0.9999990577550691,
                0.999999554914895
            ],
            [
                0.9993736658218151,
                0.9998601779760528,
                0.9999980052709919,
                0.9998415638209155,
                0.9999957771655488,
                0.999373665895996,
                0.9999417087344838,
                0.9994472213888672,
                0.9999485578047429,
                0.9998911030517865
            ],
            [
                0.9999991684716749,
                0.9999990577554061,
                0.9999996940977366,
                0.9999989322970028,
                0.9999997897565587,
                0.9999990577549568,
                0.9999992661790195,
                0.9999996072137529,
                0.9999996940977366,
                0.9999994284994849
            ],
            [
                0.9999996072138934,
                0.9999994284995529,
                0.9999984465015046,
                0.9999994284995529,
                0.999999554914789,
                0.9999991684719723,
                0.999997097687669,
                0.9999996533673375,
                0.9999994284992805,
                0.9999992661788446
            ],
            [
                0.9999992661791945,
                0.9999990577555185,
                0.9999996072139402,
                0.9999967112493665,
                0.9999977396759716,
                0.9999982396574163,
                0.9999986290426299,
                0.9999996940978825,
                0.9999994284994849,
                0.9999992661790196
            ],
            [
                0.9999993524050474,
                0.9993736657650865,
                0.9999885212277698,
                0.9999986290427931,
                0.9999994284995529,
                0.999986992873088,
                0.9999996533672135,
                0.9999994284993486,
                0.9999945777803839,
                0.9999930377462405
            ],
            [
                0.9999994956524716,
                0.9999995549147359,
                0.9999992661790195,
                0.999999266179107,
                0.9999998144609202,
                0.9999994284994167,
                0.9999996940977366,
                0.9999995549147889,
                0.9999997300421581,
                0.9999993524054334
            ],
            [
                0.999994577782323,
                0.9999996072137061,
                0.9999785550515903,
                0.9999938558224687,
                0.9999967112493665,
                0.9999982396569965,
                0.9999991684721706,
                0.9999984465026158,
                0.9999989322970027,
                0.9999987901343165
            ],
            [
                0.999995214906076,
                0.9999977396754327,
                0.99998526101803,
                0.9999962733598278,
                0.9999986290432834,
                0.9999910603026312,
                0.9999910603068939,
                0.9999977396759717,
                0.999991060301566,
                0.9999945777790915
            ],
            [
                0.999999352404893,
                0.9999986290431201,
                0.99999893229713,
                0.999999352405279,
                0.9999996072137061,
                0.9999995549150011,
                0.9999989322972572,
                0.9999984465016899,
                0.9999977396759717,
                0.9999962733607161
            ],
            [
                0.9999991684718733,
                0.9999996533673788,
                0.9999997617631752,
                0.9999986290423029,
                0.9999996533675028,
                0.9999991684715759,
                0.9999996533675028,
                0.9999994284997573,
                0.9999989322966208,
                0.9999987901343165
            ],
            [
                0.999999694097846,
                0.9999992661789321,
                0.9999993524049703,
                0.9999991684719723,
                0.999997438716568,
                0.9999996940977731,
                0.9999996072137061,
                0.9999994956524716,
                0.9999996072137998,
                0.9999957771675624
            ],
            [
                0.9999996072137998,
                0.9999989322975118,
                0.9999991684719725,
                0.9999991684721706,
                0.9999994284994849,
                0.9999993524052018,
                0.9999991684720715,
                0.9999982396569966,
                0.9999997617629764,
                0.9999974387177893
            ],
            [
                0.9999991684720715,
                0.9999997897567091,
                0.9999996533672135,
                0.9999992661790196,
                0.9999994956524114,
                0.9999998362623332,
                0.9999994956526519,
                0.9999990577552937,
                0.9999994284992805,
                0.9999984465020603
            ],
            [
                0.9999980052700408,
                0.9999990577550693,
                0.9999810748472515,
                0.9999921107336528,
                0.9999994956524114,
                0.999999352404893,
                0.9999982396569966,
                0.9999989322966208,
                0.9999990577549568,
                0.9999994284996211
            ],
            [
                0.9999993524050473,
                0.9999980052707541,
                0.9999992661791944,
                0.9999990577555185,
                0.9999970976866313,
                0.999999653367379,
                0.9999984465016899,
                0.9999952149060758,
                0.9999994284994167,
                0.9999938558239336
            ],
            [
                0.9999994956525317,
                0.9999977396748938,
                0.9999995549151073,
                0.9999991684719723,
                0.9999995549147889,
                0.9999987901347491,
                0.9999970976890529,
                0.9999991684718732,
                0.9999992661787571,
                0.9999989322975118
            ],
            [
                0.9999996533675028,
                0.9999998362623137,
                0.9999994956524115,
                0.9999998144608098,
                0.9999997300421581,
                0.9999996072138934,
                0.9999997617630048,
                0.999999789756634,
                0.9999996533673788,
                0.9999995549150542
            ],
            [
                0.999999352404893,
                0.9999998362622552,
                0.9999993524054335,
                0.9999986290429566,
                0.9999996533674615,
                0.9999996940977731,
                0.9999980052709919,
                0.999999168471675,
                0.9999996072137061,
                0.9999994284997573
            ],
            [
                0.9999990577549569,
                0.9999995549149481,
                0.9999994956527722,
                0.9998415637078946,
                0.9999989322972572,
                0.9999996072136592,
                0.9999970976876692,
                0.9999998555019962,
                0.9999987901346049,
                0.9999984465026158
            ],
            [
                0.9999995549150542,
                0.9999952149032237,
                0.9999990577554061,
                0.9999994284995529,
                0.9999910603068932,
                0.9999990577550691,
                0.9999987901347491,
                0.9999989322971299,
                0.9999982396561571,
                0.9999996072138934
            ],
            [
                0.9999997617630616,
                0.9999997300422547,
                0.9999998144609202,
                0.9999998362623138,
                0.9999994284994167,
                0.9999998144608538,
                0.9999998144608981,
                0.9999997300422225,
                0.9999994956525918,
                0.9999996533672549
            ],
            [
                0.9999996533672962,
                0.9999996072137998,
                0.9999546021151833,
                0.9999990577550691,
                0.9999994956527121,
                0.9999997897566589,
                0.9999991684720715,
                0.9999986290421395,
                0.9999996072137998,
                0.999998629042303
            ],
            [
                0.9999991684722698,
                0.9999996533675028,
                0.9999989322967482,
                0.9999989322973845,
                0.9999997897565587,
                0.9999997617630049,
                0.9999997617631752,
                0.9999997300422868,
                0.999999855502048,
                0.9999997300423191
            ],
            [
                0.9999980052695652,
                0.9999984465026158,
                0.9999980052707541,
                0.9999996072138465,
                0.9999994956526519,
                0.9999546021259487,
                0.9999984465015047,
                0.9999986290432834,
                0.9999994284994849,
                0.9999984465022455
            ],
            [
                0.9999996940978825,
                0.9999996940976636,
                0.9999993524054335,
                0.9999994956527121,
                0.9999986290423029,
                0.9999996072138934,
                0.9999997897567091,
                0.9999994284996893,
                0.9999997897567342,
                0.9999990577551815
            ],
            [
                0.9999989322975119,
                0.9999987901341724,
                0.999999057755069,
                0.9999957771645421,
                0.9999930377462405,
                0.9999974387180947,
                0.9999991684721706,
                0.9999938558253983,
                0.9999984465020603,
                0.9999986290427932
            ],
            [
                0.999999789756684,
                0.9999995549151073,
                0.9999992661788446,
                0.9999998362623722,
                0.9999990577552937,
                0.9999930377420911,
                0.9999997617629764,
                0.999999266178932,
                0.9999997617631469,
                0.9999998144609202
            ],
            [
                0.999999266179107,
                0.999999352404893,
                0.9999997300420937,
                0.9999990577554061,
                0.999998446502801,
                0.9999921107364748,
                0.9999996940977366,
                0.9999993524053562,
                0.9999994284997573,
                0.999999495652652
            ],
            [
                0.9999994284993486,
                0.9999989322975118,
                0.9999930377412606,
                0.9999996533673375,
                0.9999970976883608,
                0.020332351079440945,
                0.9999967112513268,
                0.9999991684719725,
                0.9999945777829707,
                0.9999989322971299
            ],
            [
                0.99999976176309,
                0.9999990577556308,
                0.9999990577550691,
                0.9999990577556308,
                0.9999993524049702,
                0.9999974387187053,
                0.9999994284992805,
                0.9999996533672549,
                0.9999995549148419,
                0.999999057755743
            ],
            [
                0.9999996940976272,
                0.9999996072139402,
                0.9999996940978095,
                0.9999994956525918,
                0.999999730042319,
                0.9999992661790195,
                0.9999994956526519,
                0.9999995549148419,
                0.9999996940977002,
                0.9999984465022455
            ],
            [
                0.9999995549151073,
                0.9999996072139402,
                0.9999984465015046,
                0.9999930377429209,
                0.9999869928715369,
                0.9999997300421903,
                0.9999986290426297,
                0.9999986290421394,
                0.99999862904312,
                0.9999992661790196
            ],
            [
                0.9999993524054335,
                0.9999998144609203,
                0.9999994284995529,
                0.9999994284994167,
                0.9999996940978095,
                0.9999997300421903,
                0.9999984465026158,
                0.9999996533675028,
                0.9999994284995529,
                0.9999997617631469
            ],
            [
                0.999999266178757,
                0.9999992661792819,
                0.9999982396567868,
                0.9999987901343166,
                0.9999974387187053,
                0.9999984465026158,
                0.99999893229713,
                0.9999984465020603,
                0.9999992661788445,
                0.999998790134028
            ],
            [
                0.9999995549148419,
                0.9999998144609645,
                0.9999992661790195,
                0.9999996072137998,
                0.9999997617629763,
                0.9999989322967481,
                0.9999998362622943,
                0.9999996940977366,
                0.9999980052707541,
                0.9999999226557131
            ],
            [
                0.9999998724809723,
                0.9999994956525918,
                0.9999998555019446,
                0.9999992661787571,
                0.9999996072137529,
                0.9999998144609423,
                0.9999996072139402,
                0.9999996940978095,
                0.999999814460876,
                0.9999998874649318
            ],
            [
                0.9999994956524716,
                0.9999996940978095,
                0.9999994284997573,
                0.999999730042319,
                0.9999998144609423,
                0.999999855501979,
                0.9999994284997573,
                0.9999996072137998,
                0.9999996072139402,
                0.9999998724808963
            ],
            [
                0.9999992661791945,
                0.9999996940976636,
                0.9999997617630332,
                0.9999997897566589,
                0.9999986290431201,
                0.9999991684717741,
                0.9999998144608319,
                0.9999993524051246,
                0.999998005269803,
                0.9999994956523514
            ],
            [
                0.9999967112497585,
                0.9999991684718733,
                0.9999994284994167,
                0.9999993524052789,
                0.9999989322968754,
                0.9999970976873231,
                0.9986749776032753,
                0.9999977396765105,
                0.9999977396754327,
                0.9999485578048138
            ],
            [
                0.9999997300422547,
                0.9999756997564113,
                0.99999862904312,
                0.9999724643187485,
                0.9999989322975118,
                0.9999974387177893,
                0.9999990577557432,
                0.9999993524052018,
                0.9999996072137529,
                0.9999990577552937
            ],
            [
                0.999999352404893,
                0.9999991684717741,
                0.9999980052702785,
                0.9999962733611604,
                0.9999986290421394,
                0.9999952149037947,
                0.9999993524052018,
                0.9999996940976272,
                0.9999994284993485,
                0.9999991684719725
            ],
            [
                0.9999995549147359,
                0.999998446502801,
                0.9999996940977366,
                0.9999885212264037,
                0.9999785550515884,
                0.9999992661786695,
                0.9999994956524716,
                0.9999977396762411,
                0.9999995549150542,
                0.9999991684721706
            ],
            [
                0.9999986290427932,
                0.9999984465016899,
                0.9999991684720715,
                0.9999986290424663,
                0.9999994956527721,
                0.9999945777816768,
                0.999997097687323,
                0.9999993524051246,
                0.9999991684719723,
                0.9999982396565769
            ],
            [
                0.9999990577552939,
                0.9999991684717742,
                0.9999996072138934,
                0.9999989322973846,
                0.9999989322970027,
                0.9999994284994848,
                0.9999989322968754,
                0.999999266178932,
                0.99999893229713,
                0.9999962733593833
            ],
            [
                0.9999982396569966,
                0.9999989322973845,
                0.9999984465024307,
                0.9999991684715759,
                0.9999974387187053,
                0.9999996533674614,
                0.999998790134028,
                0.9999998362623723,
                0.9999852610110108,
                0.9999986290426297
            ],
            [
                0.9999974387171787,
                0.9999938558224684,
                0.9999992661789321,
                0.9999980052707541,
                0.999999694097846,
                0.9999997617630332,
                0.9999997300420937,
                0.9999995549147359,
                0.9999991684720715,
                0.9999997617630049
            ],
            [
                0.9999852610180346,
                0.9999984465020603,
                0.9999989322967482,
                0.9999952149066464,
                0.9999996940978461,
                0.9999987901341723,
                0.9999986290432835,
                0.9999982396561571,
                0.9999993524054335,
                0.999999814460876
            ],
            [
                0.9999994284996211,
                0.9999997897567091,
                0.999999789756684,
                0.9999996072138465,
                0.9999996533674201,
                0.999999814460876,
                0.9999991684718733,
                0.9999998362622747,
                0.9999996940978825,
                0.9999994956525318
            ],
            [
                0.9999991684722698,
                0.9999996533675028,
                0.9999992661787571,
                0.9999997300422547,
                0.9999992661791944,
                0.9999996072136592,
                0.9999993524054334,
                0.9999996072137061,
                0.9999986290429566,
                0.9999995549150011
            ],
            [
                0.9999997300422546,
                0.9999994284993486,
                0.9999996940976272,
                0.999999352404893,
                0.9999996940977001,
                0.9999996940978461,
                0.9999994956524115,
                0.999999352405279,
                0.9999996533673375,
                0.9999997300422225
            ],
            [
                0.9999984465015047,
                0.9999997617630332,
                0.9999997897566589,
                0.9999996072136592,
                0.9999989322968754,
                0.9999995549147889,
                0.9999996533672962,
                0.9999952149066464,
                0.9999994956523514,
                0.9999998724809723
            ],
            [
                0.99999976176309,
                0.9999994284996211,
                0.9999995549147359,
                0.9999995549150011,
                0.999999554914895,
                0.9999832985701994,
                0.9999996940977366,
                0.9999998362623528,
                0.9999992661788445,
                0.9999998555020307
            ],
            [
                0.9999970976866314,
                0.9999991684715759,
                0.9999991684719723,
                0.9999982396561572,
                0.9999996072136592,
                0.9999989322970027,
                0.9999991684720715,
                0.9999996072136125,
                0.9999957771670593,
                0.9999989322967481
            ],
            [
                0.9999995549150542,
                0.999998005269803,
                0.9999994284996891,
                0.9999994284994849,
                0.9999994956525318,
                0.9999984465028011,
                0.9999994284995529,
                0.9999852610127603,
                0.9999993524051246,
                0.9999974387177893
            ],
            [
                0.9999987901344607,
                0.9999995549150011,
                0.9999998724809267,
                0.9999994956527722,
                0.9999996072139402,
                0.9999997617630332,
                0.999998790134028,
                0.9999997617631183,
                0.9999997617631469,
                0.9999998724809267
            ],
            [
                0.9999991684718732,
                0.9999996072138465,
                0.9999998555020135,
                0.9999994956526519,
                0.9999993524050473,
                0.9999991684721706,
                0.9999996072138934,
                0.9999994956524716,
                0.9999998144609423,
                0.9999995549147359
            ],
            [
                0.9999989322966208,
                0.9999990577552937,
                0.9999996940976272,
                0.9999991684718733,
                0.99999862904312,
                0.9999991684717741,
                0.9999994284996211,
                0.9999989322972572,
                0.999999814460876,
                0.9999997897566338
            ],
            [
                0.9999998362622552,
                0.999999554914842,
                0.9999996072138934,
                0.9999930377462405,
                0.9999997300420937,
                0.9999995549150542,
                0.9999995549151073,
                0.9999992661786696,
                0.9999994956525918,
                0.9999994284992805
            ],
            [
                0.9999984465018751,
                0.9999986290429566,
                0.9999756997505811,
                0.9999996940976272,
                0.9999986290421394,
                0.999997438716568,
                0.9999967112509349,
                0.9999938558246659,
                0.9997965730033938,
                0.999998790134605
            ],
            [
                0.9999996072139402,
                0.9999982396572065,
                0.9999994284996211,
                0.9999977396765106,
                0.9999994956524115,
                0.9999996940978461,
                0.9999994956526519,
                0.9999980052709918,
                0.9999986290423029,
                0.9999994284996893
            ],
            [
                0.9999996533675028,
                0.9999996072138934,
                0.9999993524054334,
                0.9999998144608981,
                0.9999996533672549,
                0.999999789756684,
                0.9999997617630616,
                0.9999997300422225,
                0.9999996940978095,
                0.9999996940977001
            ],
            [
                0.9999995549149481,
                0.9999996072136125,
                0.9999987901347491,
                0.9999852610180293,
                0.9999993524052019,
                0.9999982396559474,
                0.9999977396751634,
                0.9999984465015047,
                0.999999168471675,
                0.9999977396765105
            ],
            [
                0.9998601778595368,
                0.9999986290421394,
                0.9999998362623528,
                0.9999993524049703,
                0.9999997897565587,
                0.9999995549149481,
                0.9999996072138934,
                0.9999997617630616,
                0.9999997617630332,
                0.9999998362622357
            ],
            [
                0.9999945777797377,
                0.9999986290421395,
                0.9999998144609644,
                0.9999992661791944,
                0.9999996533672548,
                0.9999994284996211,
                0.9999993524052019,
                0.9999996533675028,
                0.9999994284997573,
                0.9999995549150541
            ],
            [
                0.9999996940978095,
                0.9999996533673788,
                0.9999997300422225,
                0.9999996072138465,
                0.9999998144608098,
                0.999999168471675,
                0.9999999123575045,
                0.9999996940977366,
                0.9999995549150011,
                0.9999997300421581
            ],
            [
                0.9999921107392955,
                0.9999995549147358,
                0.9999952149060758,
                0.9999995549149481,
                0.9999998362623528,
                0.999999789756634,
                0.9999997897567091,
                0.9999990577554061,
                0.9999994956523514,
                0.999999266179107
            ],
            [
                0.9999996533675028,
                0.9999982396565769,
                0.9999995549149481,
                0.9999991684718732,
                0.9999997300422547,
                0.9999992661789321,
                0.9999990577555185,
                0.999998790134605,
                0.9999995549148419,
                0.999999352404893
            ],
            [
                0.9999993524049702,
                0.999998629042303,
                0.9999986290424663,
                0.9999997300420937,
                0.9999989322972572,
                0.999999789756684,
                0.9999993524052019,
                0.9999996533674615,
                0.9999990577552939,
                0.9999994956525317
            ],
            [
                0.9999998144609203,
                0.9999994284994849,
                0.999999694097846,
                0.9999997300420937,
                0.9999998555019446,
                0.999999352404893,
                0.9999996533673375,
                0.9999994284993486,
                0.9999995549149481,
                0.9999989322972572
            ],
            [
                0.99999976176309,
                0.9999991684722698,
                0.9999989322973846,
                0.9999994956523514,
                0.9999997897566089,
                0.9999991684715758,
                0.9999993524052789,
                0.9999992661790196,
                0.9999995549150011,
                0.9999990577549568
            ],
            [
                0.9999974387187053,
                0.999985261023302,
                0.9999930377420907,
                0.9999945777797377,
                0.9999989322970027,
                0.9999994284992805,
                0.9999993524054334,
                0.9999977396748938,
                0.9999990577549568,
                0.9999994284997573
            ],
            [
                0.9999996072139402,
                0.9999997897567091,
                0.9999996940976272,
                0.9999977396765105,
                0.999999266179107,
                0.9999996940977366,
                0.9999997300421903,
                0.999999789756684,
                0.9999997617629764,
                0.9999998724810027
            ],
            [
                3.059021904580685e-07,
                3.4663262110945863e-07,
                5.043475885674441e-07,
                3.0590233632400716e-07,
                1.8553910183607374e-07,
                4.450849458218309e-07,
                3.05902226923399e-07,
                8.315283250371857e-07,
                3.4663266243308805e-07,
                8.315284241597959e-07
            ],
            [
                0.9999952149066462,
                0.9999995549150011,
                0.9999989322966208,
                0.9999989322968754,
                1.892514597770291e-05,
                0.9999982396572064,
                0.9999974387177893,
                0.9999994284995529,
                0.9999967112517189,
                0.9999990577554061
            ],
            [
                0.9999996533673788,
                0.9999994284993485,
                0.9999991684717742,
                0.99999976176309,
                0.9999994284994167,
                0.9999991684715759,
                0.9999992661791944,
                0.9999996072136592,
                0.9999991684715759,
                0.9999997617630049
            ],
            [
                0.9999994284994849,
                0.9999996533673788,
                0.9999995549150542,
                0.9999992661792819,
                0.9999994956527121,
                0.9999989322968753,
                0.9999996940976636,
                0.9999996072137998,
                0.9999970976880149,
                0.9999998724809571
            ],
            [
                0.9999996072136125,
                0.9999974387171788,
                0.9999991684718732,
                0.999999057755743,
                0.9999986290424663,
                0.9999982396561571,
                0.9999151889789345,
                0.9999986290424663,
                0.9999986290429566,
                0.9999885212359809
            ],
            [
                0.9999996940977366,
                0.9999998874649184,
                0.9999997300422547,
                0.9999998362622357,
                0.9999990577555185,
                0.9999998144609645,
                0.9999991684718733,
                0.9999997617631468,
                0.9999994956523512,
                0.9999998144608538
            ],
            [
                0.9999992661790195,
                0.9999996533672549,
                0.9999996072138934,
                0.9999994284994849,
                0.9999996072136592,
                0.9999996940976272,
                0.999999730042319,
                0.9999997300420937,
                0.9999996072136125,
                0.9999995549151073
            ],
            [
                0.999999789756684,
                0.9999996533672962,
                0.9999998555019962,
                0.999999814460876,
                0.9991959139843068,
                0.999999814460876,
                0.9999998144608097,
                0.9999994284992804,
                0.9999998555019446,
                0.9999998724809874
            ],
            [
                0.9999994956523514,
                0.9999994284994848,
                0.9999996533674615,
                0.9999990577549568,
                0.9999991684721706,
                0.9999997897565587,
                0.9999996940978825,
                0.999999352404893,
                0.9999997300421903,
                0.9999996940976636
            ],
            [
                0.999999266179107,
                0.9999980052693274,
                0.9999989322971299,
                0.9999987901346049,
                0.9999986290421394,
                0.9999986290421397,
                0.9999992661787571,
                0.9999994956526519,
                0.9999994284993485,
                0.9999984465016899
            ],
            [
                0.9999974387168733,
                0.9999832985781555,
                0.9999997300423191,
                0.999999266178932,
                0.9999986290423029,
                0.9999996533674614,
                0.9999989322975119,
                0.9999980052700408,
                0.9999990577556307,
                0.9999977396757022
            ],
            [
                0.9999986290423029,
                0.9999991684720715,
                0.9999990577549568,
                0.9999852610197867,
                0.9999991684719723,
                0.9999996533672549,
                0.9999986290427932,
                0.9999970976887068,
                0.9999986290426297,
                0.9999986290429567
            ],
            [
                0.9999991684719723,
                0.9999962733602717,
                0.9999987901347491,
                0.9999977396762411,
                0.9999986290426297,
                0.9999977396751633,
                0.9999251537995654,
                0.9999957771650454,
                0.9999997300422547,
                0.9999957771670591
            ],
            [
                0.999999730042126,
                0.999999694097846,
                0.9999962733611601,
                0.9999986290421394,
                0.9999994284994167,
                0.9999962733607158,
                0.9999921107336528,
                0.9999998555020306,
                0.9999994956527721,
                0.9999994956527722
            ],
            [
                0.999999266179107,
                0.999997097686977,
                0.999999352404893,
                0.999999554914895,
                0.9999991684716749,
                0.9999977396746244,
                0.999999057755743,
                0.9999991684717741,
                0.9999993524049702,
                0.9999994284997574
            ],
            [
                0.9999996533673375,
                0.9999997897566589,
                0.9999998555019274,
                0.9999993524049702,
                0.9999998874647843,
                0.9999998555019618,
                0.9999997617631469,
                0.9999996072139402,
                0.9999998362622746,
                0.9999998724809267
            ],
            [
                0.9999991684719723,
                0.9999990577552937,
                0.9999687980737538,
                0.9999995549151072,
                0.9999991684718732,
                0.9999994284994849,
                0.9999995549147359,
                0.9999990577556308,
                0.9999993524051246,
                0.9999724642957784
            ],
            [
                0.999999730042126,
                0.9999994956524716,
                0.9999998144608098,
                0.9999992661791944,
                0.9999996072137529,
                0.9999995549151072,
                0.9999974387168733,
                0.9999996533672549,
                0.9999996940977731,
                0.9999992661791945
            ],
            [
                0.9999977396746244,
                0.9999987901337395,
                0.999999730042126,
                0.9999989322975118,
                0.9999996940977731,
                0.9999980052705163,
                0.9999995549151073,
                0.999998790134605,
                0.9999987901347491,
                0.999999352405279
            ],
            [
                0.9999989322970027,
                0.9999990577554061,
                0.9999991684721706,
                0.9999995549149481,
                0.9999967112521109,
                0.9999982396569967,
                0.9999992661787571,
                0.9999974387184,
                0.9999984465026158,
                0.999999266179107
            ],
            [
                0.9999998724809419,
                0.9999339478632563,
                0.9999967112517189,
                0.9999991684716749,
                0.9999997897566589,
                0.9999339478553942,
                0.9999994284995529,
                0.9999977396748939,
                0.9999996072136592,
                0.9999991684720715
            ],
            [
                0.9999996072137061,
                0.99999976176309,
                0.9999994956524716,
                0.9999997897565838,
                0.9999994284997573,
                0.9999996533674201,
                0.9999991684722698,
                0.9999996533672548,
                0.9999991684720715,
                0.9999930377437508
            ],
            [
                0.9999995549147889,
                0.9999998555019274,
                0.9999999123575151,
                0.9999996072136592,
                0.9999996072136592,
                0.9999997897565838,
                0.9999992661791071,
                0.9999980052693274,
                0.9999970976880148,
                0.9999997897565838
            ],
            [
                0.9999994284993485,
                0.9999993524053562,
                0.9999996072137529,
                0.9999997617629764,
                0.9999998724809723,
                0.9999990577550691,
                0.9999993524050473,
                0.9999994284993486,
                0.9999987901347491,
                0.9999986290432834
            ],
            [
                0.9999987901346049,
                0.9999987901338838,
                0.9999997897567091,
                0.9999993524051246,
                0.9999997897567342,
                0.9999977396762412,
                0.9999990577551814,
                0.9999987901343165,
                0.9999993524051246,
                0.999999653367379
            ],
            [
                0.999999694097773,
                0.9999997300422225,
                0.9999996533672962,
                0.9999996940976271,
                0.9999996533672962,
                0.9999997617629764,
                0.9999997617630616,
                0.999999653367379,
                0.9999996072137061,
                0.9999987901347491
            ],
            [
                0.9999986290429566,
                0.9999986290429566,
                0.9999986290421394,
                0.9999970976890529,
                0.999999352405279,
                0.9999995549150542,
                0.9999984465018751,
                0.9999994956523514,
                0.9999993524051246,
                0.999999266178932
            ],
            [
                0.9999996940977366,
                0.99999893229713,
                0.9999997617631752,
                0.9999995549150011,
                0.9999992661791944,
                0.9999994284994167,
                0.9999994956525918,
                0.9999996940978461,
                0.9999993524052019,
                0.9999993524052019
            ],
            [
                0.999999653367379,
                0.9999987901347491,
                0.9999993524049703,
                0.9999997617631752,
                0.9999997300421581,
                0.9999995549150542,
                0.9999996072137529,
                0.999999694097846,
                0.9999996072138465,
                0.9999997300421581
            ],
            [
                0.9999992661788445,
                0.9999898700102298,
                0.9999957771645419,
                0.9999987901338838,
                0.9999977396757022,
                0.9999151889182516,
                0.9999993524053562,
                0.9999898700102282,
                0.9999989322970027,
                0.9999992661792819
            ],
            [
                0.9999994956527121,
                0.9999994956523514,
                0.9999986290432834,
                0.999999814460876,
                0.9999996072137061,
                0.9999996533672549,
                0.9999999123575777,
                0.9999994284995529,
                0.9999998724810027,
                0.9999990577554061
            ],
            [
                0.9999967112517187,
                0.9999980052707541,
                0.9999980052695654,
                0.9999986290421394,
                0.9999996072136592,
                0.9999962733616047,
                0.9999974387180947,
                0.9999980052705163,
                0.9999970976887068,
                0.9999992661786695
            ],
            [
                0.9999994284994167,
                0.9999996533675028,
                0.9999994956523514,
                0.9999994284997573,
                0.9999974387171788,
                0.9999993524049703,
                0.9999930377445804,
                0.9999989322975118,
                0.9999992661791944,
                0.9999869928699859
            ],
            [
                0.9999995549147889,
                0.9999992661789321,
                0.9999996072139402,
                0.999999168471675,
                0.9999984465020603,
                0.9999996533675028,
                0.9999997897566589,
                0.9999995549151073,
                0.9999997617630048,
                0.9999992661791945
            ],
            [
                0.9999996072136592,
                0.9999994956523514,
                0.9999989322972572,
                0.9999980052709919,
                0.9999986290431201,
                0.9999952149037943,
                0.9999996940978095,
                0.9999994284993486,
                0.9999996940978095,
                0.9999990577554061
            ],
            [
                0.9999980052705163,
                0.999999352404893,
                0.9999994956523512,
                0.9999987901346049,
                0.9999990577549568,
                0.9999974387171787,
                0.999997097687669,
                0.9999987901340281,
                0.9999980052705164,
                0.9999994956525918
            ],
            [
                0.9999998874649051,
                0.999999694097773,
                0.9999994956525317,
                0.9999998555019963,
                0.9999994956525317,
                0.9999995549147889,
                0.9999993524049702,
                0.9999992661790196,
                0.9999962733593833,
                0.999999730042126
            ],
            [
                0.9999984465020603,
                0.9999967112517189,
                0.9999945777829693,
                0.9999977396751633,
                0.9999994956525917,
                0.9999991684716749,
                0.9999987901343165,
                0.999998239656367,
                0.9999996072137998,
                0.9999996940978825
            ],
            [
                0.9999992661790195,
                0.9999996940978095,
                0.9999987901337396,
                0.999999266179107,
                0.9999996533672549,
                0.9999724643121942,
                0.9999991684721706,
                0.9999993524050474,
                0.9999991684721706,
                0.9999994284994849
            ],
            [
                0.9999994284992805,
                0.9999996940976272,
                0.9999994956527722,
                0.9999994284996893,
                0.9999898700114356,
                0.9999992661792819,
                0.99999976176309,
                0.9999996533674202,
                0.9999991684717742,
                0.9999987901338838
            ],
            [
                0.9999994956524715,
                0.9999996940978825,
                0.9999996533675028,
                0.9999990577550691,
                0.999999352404893,
                0.9999995549148419,
                0.9999996533674615,
                0.9999990577556308,
                0.9999993524052019,
                0.9999994284994167
            ],
            [
                0.9999995549149481,
                0.9999992661788445,
                0.9999980052702785,
                0.9999938558232014,
                0.9999984465022455,
                0.999995214904935,
                0.9999987901344607,
                0.9999994284994167,
                0.9999987901343165,
                0.9999994284994849
            ],
            [
                0.9999995549149481,
                0.9999996072137529,
                0.9999992661791944,
                0.9999997897567091,
                0.9999996533673375,
                0.9999996072138934,
                0.9999996072136125,
                0.999999266178932,
                0.999999352405279,
                0.9999996072139402
            ],
            [
                0.9999998724808963,
                0.9999997897565587,
                0.9999996940977366,
                0.9999998555019963,
                0.9999998555019274,
                0.9999994956527722,
                0.9999993524054335,
                0.9999995549149481,
                0.9999997617630617,
                0.9999998144609645
            ],
            [
                0.9999989322966208,
                0.9999997300421581,
                0.9999997617629764,
                0.9999998724809571,
                0.999999855501979,
                0.9999997897566338,
                0.9999997617630899,
                0.9999998144609644,
                0.999999694097846,
                0.9999996072137061
            ],
            [
                0.9999998362623722,
                0.9999990577554061,
                0.9999910603068934,
                0.9999993524049703,
                0.9999994956524114,
                0.9999997897566089,
                0.9999997300421903,
                0.9999974387171788,
                0.9999993524054335,
                0.9999990577550691
            ],
            [
                0.9999980052707542,
                0.9999989322968754,
                0.9999987901346049,
                0.9999921107374145,
                0.9999980052695652,
                0.9999987901343165,
                0.9999989322971299,
                0.9999992661791944,
                0.9999994956523512,
                0.9999921107392955
            ],
            [
                0.9999994956524115,
                0.9999990577551815,
                0.9999990577555185,
                0.9999986290424663,
                0.9999996072136592,
                0.9999992661786696,
                0.9999996533674202,
                0.9999994284996893,
                0.999996711250543,
                0.9999991684716749
            ],
            [
                0.9999996072136125,
                0.9999989322968754,
                0.9999995549150542,
                0.9999997897566589,
                0.9999996940978095,
                0.99999893229713,
                0.9999996940976636,
                0.9999996072138934,
                0.9999992661788446,
                0.9999994956524716
            ],
            [
                0.9998911030918954,
                0.9999990577550691,
                0.9999962733616048,
                0.999997097686977,
                0.9999993524051246,
                0.9999992661790195,
                0.9999977396759717,
                0.9999994284994167,
                0.9999785550567016,
                0.9999982396561572
            ]
        ]
    },
    {
        "q_id": "10606_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            98,
            99,
            100,
            101,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            12
        ],
        "rewards": [
            [
                8.939700566565793e-06,
                2.9023116391477434e-06,
                4.785095065045315e-06,
                2.5612812947077304e-06,
                2.561281905390075e-06,
                5.422218969661113e-06,
                2.90231094702116e-06,
                3.2887506334560605e-06,
                3.288748673319648e-06,
                3.2887478891128633e-06
            ],
            [
                3.288748673265808e-06,
                1.9947292458930106e-06,
                9.422447062240614e-07,
                3.288747889178668e-06,
                9.422450431860582e-07,
                8.939699499627926e-06,
                1.7603440526806268e-06,
                6.475947982002148e-07,
                2.5612816000145246e-06,
                5.043475885674441e-07
            ],
            [
                0.999997097687669,
                0.9999938558224688,
                0.9999977396746244,
                0.9999987901343165,
                0.9999989322973845,
                0.9999990577551814,
                0.9999980052693274,
                0.9999810748495053,
                0.9999974387184,
                0.9999984465015047
            ],
            [
                6.962253759670401e-06,
                2.2603251062013478e-06,
                1.670142980726572e-05,
                0.999996273360272,
                0.9999992661789321,
                9.422442569290178e-07,
                8.939696303010449e-06,
                0.9999921107402369,
                0.9999980052705164,
                0.999992110738355
            ],
            [
                7.338212429537553e-07,
                4.450852111148132e-07,
                4.4508505193791187e-07,
                6.475947982002148e-07,
                9.422450431989127e-07,
                5.043472278280699e-07,
                3.288750241410738e-06,
                5.42222090882208e-06,
                6.475951069985296e-07,
                6.47594875389178e-07
            ],
            [
                4.222831933726245e-06,
                2.2603248367358324e-06,
                3.7266379512518984e-06,
                1.5534975693792215e-06,
                8.315283250305684e-07,
                2.260324297853209e-06,
                2.2603237589542675e-06,
                3.927862939136532e-07,
                1.760343842833246e-06,
                9.610242608490687e-05
            ],
            [
                3.288750633518874e-06,
                3.2887490653647836e-06,
                1.2098655392811161e-06,
                1.0677027427525368e-06,
                1.760343423160973e-06,
                1.3709568799679844e-06,
                1.4738976697631541e-05,
                5.715002426460124e-07,
                1.370957860567974e-06,
                7.338209805224048e-07
            ],
            [
                2.9023119851635836e-06,
                0.9999885212318762,
                0.9999852610162754,
                6.96225873967641e-06,
                0.9999485577863694,
                6.144175333837093e-06,
                2.7535697643963113e-05,
                0.9999485577925141,
                3.2887498494282754e-06,
                6.962259568648793e-06
            ],
            [
                3.726641061027928e-06,
                1.7603425837494853e-06,
                6.475945666033422e-07,
                1.5534975693792215e-06,
                1.9947297214944016e-06,
                1.55349775456958e-06,
                2.902310947190096e-06,
                2.9023112931688987e-06,
                2.5612812947077304e-06,
                4.785095065093186e-06
            ],
            [
                1.3709567165461505e-06,
                3.92786340734912e-07,
                6.475950297993789e-07,
                1.553497384180408e-06,
                9.422450431912e-07,
                7.338211554725124e-07,
                2.260324297853209e-06,
                2.9023116391675407e-06,
                2.902311985079115e-06,
                9.422444815765128e-07
            ],
            [
                3.9278615344267634e-07,
                1.553498495338299e-06,
                2.2603245673155757e-06,
                2.5612831266165976e-06,
                3.288748673319648e-06,
                5.715006514151423e-07,
                1.5534983101393749e-06,
                1.3709576971379186e-06,
                1.553498495338299e-06,
                3.535626333461766e-05
            ],
            [
                3.927862939136532e-07,
                1.0677027427525368e-06,
                6.475947982002148e-07,
                1.3709575337016483e-06,
                6.475945666051092e-07,
                1.3709567165530083e-06,
                1.7603425837494853e-06,
                1.7603432132784448e-06,
                1.7603438428740716e-06,
                8.315277302819205e-07
            ],
            [
                1.7603430034655858e-06,
                6.9622562489985925e-06,
                6.144173869379821e-06,
                3.2887498494282754e-06,
                3.2887502415243994e-06,
                5.422217030555087e-06,
                2.9023133690637e-06,
                9.422443692527585e-07,
                4.2228349546493465e-06,
                6.144175334239434e-06
            ],
            [
                8.93970056668775e-06,
                2.5612831267086116e-06,
                2.4300246507772637e-05,
                5.422219616085833e-06,
                4.785095635413826e-06,
                6.9622537593854575e-06,
                1.3007126912826352e-05,
                4.22283394786293e-06,
                3.7266397282926013e-06,
                0.9999952149043648
            ],
            [
                4.78509563550957e-06,
                2.144494074201677e-05,
                2.2603237589676295e-06,
                1.0129988563343644e-05,
                1.8925155007633607e-05,
                3.288750633518874e-06,
                2.4300234937239182e-05,
                5.422217030495909e-06,
                7.88926634687567e-06,
                4.785093924103951e-06
            ],
            [
                2.902311639126627e-06,
                8.315278294038928e-07,
                9.422448185510695e-07,
                1.994730434879465e-06,
                5.043476486902204e-07,
                8.315283250371857e-07,
                5.715005832872586e-07,
                1.994729721482609e-06,
                9.422447062202052e-07,
                6.475945666033422e-07
            ],
            [
                0.9998766054548606,
                0.9993736659750226,
                0.9999646437492968,
                0.9947798748360102,
                0.9999485577925175,
                0.9999599362982833,
                0.9999339478474997,
                0.9998601779761158,
                0.9999852610233002,
                0.9997388097849434
            ],
            [
                0.9964063979079583,
                0.9998601778762881,
                0.9999339478632303,
                0.9996646499304641,
                0.9999885212346117,
                0.9999724643096739,
                0.9997388097215321,
                0.9995121428824402,
                0.9997388097840392,
                0.9999832985721853
            ],
            [
                0.9999852610215451,
                1.8925141467679015e-05,
                0.9999885212318759,
                2.561283431986506e-06,
                5.422219615967477e-06,
                3.7266388397382506e-06,
                3.2887502415438413e-06,
                0.9999785550567043,
                6.962256249517824e-06,
                5.043476486915964e-07
            ],
            [
                1.0677027427569065e-06,
                1.0677024881887838e-06,
                3.2887482812745586e-06,
                3.2887482812506295e-06,
                1.0677031245905116e-06,
                4.222833947820683e-06,
                2.5612812947240366e-06,
                3.2887506335906595e-06,
                2.561283126679493e-06,
                3.7266410609940346e-06
            ],
            [
                3.927862470890063e-07,
                2.260324297853209e-06,
                6.475951069961737e-07,
                6.475946438042047e-07,
                3.2887482812506295e-06,
                1.2098662604247682e-06,
                4.4508505193791187e-07,
                4.222832941072913e-06,
                1.3709568799679844e-06,
                3.9278615344178325e-07
            ],
            [
                3.2887490653408545e-06,
                1.0677027427525368e-06,
                1.7603438428564603e-06,
                9.422449308748773e-07,
                2.90231233114251e-06,
                2.561283126679493e-06,
                1.2098655392871682e-06,
                4.785096776194573e-06,
                4.222831934202483e-06,
                4.450852641717689e-07
            ],
            [
                3.7266406168403854e-06,
                1.7603425837702984e-06,
                7.889266347004826e-06,
                1.067703379154416e-06,
                8.481107156496966e-05,
                2.902312677060767e-06,
                6.1441724044534996e-06,
                8.315278294072958e-07,
                1.2098659719716573e-06,
                5.422218323349895e-06
            ],
            [
                0.999903897562102,
                0.9999485577863506,
                0.9940889310288322,
                0.9997040427950044,
                0.9994472212548321,
                0.99991518895867,
                0.9998766054397721,
                0.9999687980886309,
                0.9997694933396449,
                0.9998766053663058
            ],
            [
                4.78509563550957e-06,
                7.889261645090304e-06,
                6.962253759752719e-06,
                4.222835457906302e-06,
                1.994730434879465e-06,
                6.144176066051891e-06,
                5.829126552754713e-05,
                6.1441746017453204e-06,
                3.288749849477628e-06,
                1.4738978456398127e-05
            ],
            [
                2.9023133690188264e-06,
                1.760344052693435e-06,
                1.0677027427471959e-06,
                1.9947299592824403e-06,
                1.5534984953298217e-06,
                7.338212429537553e-07,
                4.450849458218309e-07,
                1.3709572068478697e-06,
                1.994729721469003e-06,
                4.222834451327159e-06
            ],
            [
                0.9999869928715361,
                0.9999687980960733,
                0.9999687980849209,
                0.9999869928653341,
                0.9999546021205649,
                0.9999785550413659,
                0.9999724642957725,
                0.9999485577741191,
                0.999948557798626,
                0.9999417087484042
            ],
            [
                0.9999980052709919,
                0.9999852610180308,
                0.9999974387171787,
                0.9999952149049351,
                0.9999987901338838,
                0.9999910603068939,
                0.9999977396757023,
                0.9999967112501505,
                0.9999957771680661,
                0.9999987901338839
            ],
            [
                2.902313022984344e-06,
                1.4738980213985297e-05,
                3.2887490652451393e-06,
                3.059021904571643e-07,
                2.902312331125353e-06,
                1.7603438428188364e-06,
                7.338212429537553e-07,
                1.3709570434054234e-06,
                2.699578740011634e-07,
                7.3382080556433e-07
            ],
            [
                8.93969310647542e-06,
                6.962254589332388e-06,
                1.0129992186939844e-05,
                6.962256249606473e-06,
                5.422218323019487e-06,
                7.889264466230069e-06,
                3.2887482812745586e-06,
                1.3007131564383116e-05,
                2.7535681240079227e-05,
                1.147876402018431e-05
            ],
            [
                0.9999038975622753,
                0.9997965730278168,
                0.9999832985741748,
                0.9999930377429203,
                0.999738809723432,
                0.9999251537638318,
                0.9996200154265803,
                0.999925153772784,
                0.9997965730032102,
                0.9998766054402102
            ],
            [
                5.829129320305095e-05,
                4.450848927637999e-07,
                NaN,
                1.994729008105057e-06,
                1.1478766756653273e-05,
                3.535623803067304e-05,
                9.61024376687558e-05,
                1.0129989770441144e-05,
                1.2098656834041774e-06,
                0.00010889686976001818
            ],
            [
                0.9999997897566589,
                0.9999995549150542,
                0.9999996533672549,
                0.9999993524051246,
                0.9999993524054334,
                0.999999554914895,
                0.9999996533675028,
                0.999999352405279,
                0.99999893229713,
                0.9999993524051246
            ],
            [
                1.892515500715167e-05,
                5.422218969217281e-06,
                8.939695237959376e-06,
                1.2098658277451275e-06,
                3.7266379513434106e-06,
                3.726640172503764e-06,
                4.222832437324657e-06,
                2.2603234894560207e-06,
                1.3709576971379186e-06,
                5.4222202624563834e-06
            ],
            [
                0.9997965730753162,
                0.9998204720767708,
                0.9997040427598373,
                0.9982992775249203,
                0.9999251537638258,
                0.9997040429366628,
                0.9991959139620928,
                0.9998911030518365,
                0.999512142765899,
                0.9998415638022965
            ],
            [
                0.9999852610233005,
                2.902310947208574e-06,
                1.1478768122987964e-05,
                5.422218969769604e-06,
                8.939694172290508e-06,
                0.9996646499300152,
                0.9989677689163081,
                2.1444945856964448e-05,
                0.9997040427602764,
                2.5612825159677387e-06
            ],
            [
                0.9999990577552939,
                0.9999995549149481,
                0.9999991684718732,
                0.9999980052695652,
                0.9999993524051246,
                0.9999989322972573,
                0.9999984465022455,
                0.9999994956527722,
                0.9999980052700408,
                0.9999993524049703
            ],
            [
                0.9999938558275963,
                0.9999974387180948,
                0.9999957771680661,
                0.9999987901347492,
                0.9999967112497586,
                0.9999984465018751,
                0.999998932296621,
                0.999997097686631,
                0.9999930377454105,
                0.9999938558253989
            ],
            [
                2.1444956078515887e-05,
                4.7850944943330625e-06,
                6.1441767989541075e-06,
                5.144221360709674e-05,
                5.144220137401424e-05,
                8.31527928532683e-07,
                8.315278294001114e-07,
                4.0063682616886836e-05,
                1.6701421837705495e-05,
                8.315278294038928e-07
            ],
            [
                1.994730197071414e-06,
                1.3709575337016483e-06,
                2.5612812947077304e-06,
                2.5612816000145246e-06,
                8.315282259089153e-07,
                1.3709575336947905e-06,
                1.2098655392921197e-06,
                2.260325375634003e-06,
                9.422444815765128e-07,
                3.726639727750306e-06
            ],
            [
                NaN,
                1.3709575337016483e-06,
                9.422445938861406e-07,
                1.7603438428660665e-06,
                1.2098655392921197e-06,
                4.22283294098842e-06,
                6.47594952595231e-07,
                8.31527928532683e-07,
                4.450852111135988e-07,
                1.3709568799679844e-06
            ],
            [
                0.999992110739296,
                5.42222090882208e-06,
                1.6701419846288166e-05,
                3.2887506335906595e-06,
                1.6701423833831836e-05,
                1.0677026154774503e-06,
                3.120190764716959e-05,
                1.994729483705484e-06,
                2.2603245673279107e-06,
                2.561281905390075e-06
            ],
            [
                0.9999987901344608,
                0.9999962733620488,
                0.9999987901343165,
                0.9999945777810304,
                0.9999885212277699,
                0.9999980052707541,
                0.9999967112501504,
                0.9999970976890529,
                0.9999945777829696,
                0.9999687980923492
            ],
            [
                0.9999989322966208,
                0.9999993524054334,
                0.9999997897565838,
                0.9999996533675028,
                0.9999995549150542,
                0.999998932296621,
                0.9999995549147359,
                0.9999993524049702,
                0.9999989322972572,
                0.9999997300422225
            ],
            [
                2.5612816000331606e-06,
                4.222834451169694e-06,
                6.1441767989541075e-06,
                6.1441738691562974e-06,
                6.144174601588856e-06,
                3.288749457432399e-06,
                3.7266397281434697e-06,
                1.670141785651155e-05,
                3.72664061671159e-06,
                4.222833444467892e-06
            ],
            [
                0.9999995549150542,
                0.9999992661788445,
                0.9999997617631183,
                0.999999554915001,
                0.9999996940976636,
                0.9999998144609424,
                0.999999266178757,
                0.9999994284994848,
                0.9999993524053562,
                0.9999997300421903
            ],
            [
                0.9999984465015047,
                0.9999982396559474,
                0.9999982396559474,
                0.9999945777797377,
                0.9999967112501508,
                0.9999991684718732,
                0.9999974387171787,
                0.999994577782323,
                0.9999869928761888,
                0.9999974387180947
            ],
            [
                6.1441746017453204e-06,
                1.2098658277451275e-06,
                3.535626331056557e-05,
                8.315278294072958e-07,
                7.3382080556433e-07,
                8.939700566435704e-06,
                1.9947304348595095e-06,
                1.2098661161982042e-06,
                9.422443692489024e-07,
                1.994730197071414e-06
            ],
            [
                0.990291523196184,
                0.998073265349657,
                0.9947798754671396,
                0.9525741216052517,
                3.5356250694926364e-05,
                0.26894141551050293,
                0.9740426411068074,
                0.2942149721629888,
                0.00010889688281934806,
                0.994088931209427
            ],
            [
                0.9999910603047617,
                0.9999646437577323,
                0.999959936298279,
                0.9999952149066461,
                0.9999885212359801,
                0.9999938558275956,
                0.99994855779862,
                0.9999832985841355,
                0.9999599363030588,
                0.9999810748517634
            ],
            [
                0.9999869928684346,
                0.9999898700078138,
                0.9999970976890528,
                0.999968798081189,
                0.9999984465016899,
                0.9998911031167291,
                0.9999869928699887,
                0.9999952149066468,
                0.9999885212264013,
                0.9999832985721847
            ],
            [
                3.726638395415398e-06,
                2.260325375664839e-06,
                1.0129995808418327e-05,
                4.222833444506298e-06,
                2.9023116391477434e-06,
                1.1478768125577027e-05,
                4.785092783454444e-06,
                2.9023123311055552e-06,
                4.785092783210732e-06,
                5.422220908762902e-06
            ],
            [
                1.9947306726358406e-06,
                5.422217675874929e-06,
                7.338209805200689e-07,
                4.7850950649408664e-06,
                1.7603427935678977e-06,
                4.222834451292594e-06,
                4.222833444506298e-06,
                1.6701415869924985e-05,
                5.422217030288788e-06,
                1.3709568799760888e-06
            ],
            [
                0.9999687980960746,
                0.9999869928761876,
                0.9999546021422073,
                0.9999982396569966,
                0.9999852610197864,
                0.9999952149049351,
                0.9999546021151331,
                0.9999251537816921,
                0.9999810748540188,
                0.9999810748540172
            ],
            [
                6.962253759157502e-06,
                5.42222090882208e-06,
                6.144176066443055e-06,
                2.902313023063532e-06,
                4.785096776194573e-06,
                6.9622537587775775e-06,
                8.93969630388855e-06,
                3.288749457432399e-06,
                6.144177531599359e-06,
                6.1441746016670885e-06
            ],
            [
                2.9023112931873767e-06,
                6.1441760667392215e-06,
                1.553498495338299e-06,
                2.2603242978778778e-06,
                1.7603425837791042e-06,
                4.785094494672519e-06,
                0.9999910603005002,
                4.22283545795623e-06,
                1.994729483694599e-06,
                1.1478764019787597e-05
            ],
            [
                0.999993855823201,
                0.9999952149055052,
                0.9998766053957809,
                0.999997097686977,
                0.9999957771650454,
                0.9999921107402359,
                0.9999646437492894,
                0.9999724643056193,
                0.9999885212277695,
                0.9999810748449934
            ],
            [
                2.2603245672867952e-06,
                1.0677033791437343e-06,
                5.422217030121119e-06,
                9.422448185478557e-07,
                2.753570420429731e-05,
                1.0677026154774503e-06,
                4.222835458002318e-06,
                4.222834954403545e-06,
                3.2887502412970765e-06,
                1.553498495338299e-06
            ],
            [
                4.2228349546493465e-06,
                7.338211554725124e-07,
                1.3709572068354007e-06,
                2.561283126639892e-06,
                1.553497199007048e-06,
                1.5534983101478522e-06,
                3.4663266243308805e-07,
                1.553497384180408e-06,
                2.2603234895053587e-06,
                1.553498495338299e-06
            ],
            [
                0.999999554914895,
                0.9999986290427932,
                0.9999992661790196,
                0.999999266178757,
                0.9999993524049702,
                0.9999986290424664,
                0.9999970976883611,
                0.9999990577552937,
                0.9999996072136125,
                0.9999993524051246
            ],
            [
                1.5534984953453635e-06,
                1.3007128463873485e-05,
                6.144176799166453e-06,
                3.288749457383046e-06,
                1.7603440527222532e-06,
                0.9999957771665557,
                6.144176066521288e-06,
                1.0677031245905116e-06,
                0.9999994956526519,
                0.9999984465024306
            ],
            [
                1.370957860567974e-06,
                2.561282210701601e-06,
                5.422221555133606e-06,
                2.90231233114251e-06,
                8.939697369151141e-06,
                8.31528424162821e-07,
                1.5534981249496567e-06,
                1.2098661161927025e-06,
                4.222832941111319e-06,
                2.902312331081799e-06
            ],
            [
                0.9999869928746368,
                0.9999485577740995,
                0.999948557780219,
                0.999992110734593,
                0.9999339478474549,
                0.9999910603015648,
                0.9999967112505427,
                0.9999810748517602,
                0.9999810748472499,
                0.9999038975850983
            ],
            [
                0.999999554914895,
                0.9999984465026159,
                0.9999980052695652,
                0.9999980052707543,
                0.9999993524050474,
                0.9999990577554061,
                0.9999993524054334,
                0.9999994284994167,
                0.9999994284996891,
                0.9999989322967481
            ],
            [
                0.999997097687323,
                0.9999417087136563,
                0.9999930377404304,
                0.9999930377404305,
                0.9999977396762411,
                0.999985261016272,
                0.9999952149055052,
                0.9999646437366505,
                0.9999832985841293,
                0.9999938558232011
            ],
            [
                0.9999991684719723,
                0.9999984465018751,
                0.9999977396757022,
                0.9999987901337396,
                0.9999987901343165,
                0.9999992661787571,
                0.9999930377462406,
                0.999986992873089,
                0.999998005269803,
                0.9999990577551814
            ],
            [
                0.9999994284996891,
                0.9999982396561572,
                0.9999992661790195,
                0.9999995549147359,
                0.9999974387174846,
                0.9999989322967482,
                0.9999992661791944,
                0.999999495652712,
                0.9999977396765105,
                0.9999993524051246
            ],
            [
                1.3709576971242028e-06,
                1.3709576971061233e-06,
                2.902312331081799e-06,
                3.726638839833152e-06,
                3.288749065125496e-06,
                9.422449308716635e-07,
                7.889264466545779e-06,
                1.760343213322473e-06,
                1.370957533676711e-06,
                1.0677024881941248e-06
            ],
            [
                3.726640616748873e-06,
                2.5612819053166966e-06,
                2.902313023101807e-06,
                2.9023119851055122e-06,
                0.999941708734492,
                4.785096206013061e-06,
                9.422449308716635e-07,
                8.481107163963022e-05,
                1.5534983101549167e-06,
                3.7266379512518984e-06
            ],
            [
                0.9999952149049353,
                0.999989870006606,
                0.9999945777784449,
                0.9999945777790913,
                0.9999898700126435,
                0.9999984465026158,
                0.9999977396762412,
                0.9999869928730875,
                0.9999898700102293,
                0.99998107485853
            ],
            [
                2.9023133689317184e-06,
                6.962257079275089e-06,
                1.7603440526806268e-06,
                7.889266346129453e-06,
                9.422445938964242e-07,
                1.0677026154730804e-06,
                1.4738976695942536e-05,
                1.0129992186939844e-05,
                4.785096776194573e-06,
                2.561282210618905e-06
            ],
            [
                6.144176798691468e-06,
                4.785096205582214e-06,
                7.889260704732132e-06,
                3.726638395493353e-06,
                6.144175334094145e-06,
                4.785096205930373e-06,
                4.785093924156175e-06,
                4.7850950648799385e-06,
                5.422220908314139e-06,
                6.144177531660828e-06
            ],
            [
                0.999447221455917,
                1.0129990978847043e-05,
                3.288750241473551e-06,
                2.9023123310290063e-06,
                3.726639284050988e-06,
                1.5534979397592542e-06,
                1.3709576970949014e-06,
                1.9947299591826594e-06,
                1.3709568799679844e-06,
                1.300712380997554e-05
            ],
            [
                5.422217030362759e-06,
                3.7266388397721442e-06,
                0.9999546021259791,
                0.9999832985841309,
                1.2098659719757836e-06,
                2.5612831266608576e-06,
                7.338208055664991e-07,
                6.144173868044274e-06,
                1.99472900813862e-06,
                3.726637951028202e-06
            ],
            [
                0.9999832985781574,
                0.9999957771680659,
                0.9999962733593833,
                0.999985261014516,
                0.9999977396765105,
                0.9999910603047621,
                0.9999945777797375,
                0.99999862904312,
                0.9999930377445809,
                0.9999974387187054
            ],
            [
                0.9991959141484099,
                0.9995694428610958,
                0.9980732654401001,
                0.9991959141522446,
                0.9998204720554777,
                0.9995694430133554,
                0.9993736658256772,
                0.9998911031167291,
                0.9999038976080584,
                0.9999038975965122
            ],
            [
                6.962253759581752e-06,
                5.4222215550004564e-06,
                1.5534979397267575e-06,
                7.88926540679677e-06,
                9.422444815765128e-07,
                3.2887490653647836e-06,
                1.99472924590571e-06,
                3.726640616748873e-06,
                4.222831934286977e-06,
                7.889260704631679e-06
            ],
            [
                2.902312677084523e-06,
                1.7603440526806268e-06,
                3.92786340734912e-07,
                4.78509506499309e-06,
                6.475951070002966e-07,
                3.288747889229516e-06,
                1.9947297214944016e-06,
                6.47594720987407e-07,
                9.422450431954847e-07,
                4.450848927621807e-07
            ],
            [
                2.260325375634003e-06,
                4.22283394786293e-06,
                7.889265406151004e-06,
                1.370957860567974e-06,
                2.902312677104321e-06,
                5.715005151574337e-07,
                1.7603436329978976e-06,
                2.5612825159421147e-06,
                1.9947297214544894e-06,
                1.9947304348332037e-06
            ],
            [
                1.209865827740176e-06,
                0.9999038975621116,
                1.370957860567974e-06,
                4.785093924251918e-06,
                1.5534981249574276e-06,
                2.753568123767511e-05,
                0.9998415637267463,
                0.9998415638021121,
                6.1441746017453204e-06,
                1.7603430034439723e-06
            ],
            [
                0.9999994284994167,
                0.9999994956527121,
                0.9999994284995529,
                0.9999986290432835,
                0.9999994284995529,
                0.999999900688043,
                0.9999994284996211,
                0.999999352404893,
                0.9999996533675028,
                0.9999990577555185
            ],
            [
                0.9999251537638694,
                0.9999646437577226,
                0.9996200154697935,
                0.999981074858529,
                0.999975699767961,
                0.9998415638022435,
                0.9997965730276333,
                0.9999646437535068,
                0.9999756997650667,
                0.9999687980849129
            ],
            [
                6.475948753930064e-07,
                1.3709568799760888e-06,
                5.71500515151976e-07,
                5.043475284228866e-07,
                2.561281599914358e-06,
                8.315281267834927e-07,
                9.422443692446175e-07,
                1.0677032518748838e-06,
                1.2098652508144226e-06,
                1.3709576971316842e-06
            ],
            [
                0.999999554915001,
                0.9999994956524114,
                0.999999495652652,
                0.9999996533672962,
                0.9999997617629764,
                0.9999997300422869,
                0.9999994956525317,
                0.9999994956526519,
                0.9999993524053562,
                0.9999996940978825
            ],
            [
                0.9986749777215846,
                0.9993736659041573,
                0.9998601779428534,
                0.9994472213259659,
                0.9999417087344686,
                0.9992903297112792,
                0.9997694931753348,
                0.9978172831804194,
                0.9998415638211505,
                0.9998415637832834
            ],
            [
                0.999860177928751,
                6.144172404218801e-06,
                3.2887498494282754e-06,
                1.2098653950606901e-06,
                2.1444956078515887e-05,
                1.5534983101301911e-06,
                1.4738988993532872e-05,
                0.9999810748540182,
                1.9947299592824403e-06,
                0.999769493367486
            ],
            [
                3.288750633545794e-06,
                8.939696304002375e-06,
                3.288748281220719e-06,
                3.288750633545794e-06,
                6.962258739454786e-06,
                3.726639284050988e-06,
                0.9999930377420908,
                2.2603234895289998e-06,
                8.93970056668775e-06,
                3.7266406167827664e-06
            ],
            [
                0.9999957771660523,
                0.9999898700126439,
                0.9999898700066064,
                0.9999910603015654,
                0.9999930377412608,
                0.9999756997505845,
                0.9999930377429207,
                0.999994577780384,
                0.999993855826131,
                0.9999962733602717
            ],
            [
                0.999991060303697,
                0.9999984465018751,
                0.9999885212305081,
                0.9999945777823231,
                0.9999945777790915,
                0.999992110740237,
                0.9999977396746244,
                0.9999910603047621,
                0.9999982396572065,
                0.999997438717484
            ],
            [
                0.9980732656071066,
                0.9995694429628151,
                0.9995694429141788,
                0.999373665753646,
                0.9993736658975262,
                0.9968273169108361,
                0.9998911031038139,
                0.9984988180920851,
                0.9995121427682832,
                0.9997965730265855
            ],
            [
                8.315278294072958e-07,
                6.144173867753695e-06,
                3.7266392840781026e-06,
                1.3709568799760888e-06,
                1.3709568799679844e-06,
                3.726638839656906e-06,
                3.2887482811908074e-06,
                5.422217676797111e-06,
                2.2603242978377903e-06,
                9.422445938964242e-07
            ],
            [
                0.9999996072138465,
                0.9999995549147359,
                0.9999987901341724,
                0.9999996072137529,
                0.9999995549149481,
                0.9999992661789321,
                0.9999995549147889,
                0.9999992661791944,
                0.9999992661786696,
                0.9999995549150011
            ],
            [
                2.260324028404236e-06,
                2.561281294644835e-06,
                3.2887494572514376e-06,
                3.726639728262097e-06,
                1.2098661161927025e-06,
                1.5534981249697903e-06,
                6.962255419570695e-06,
                3.288749457432399e-06,
                4.2228344511197656e-06,
                1.7603438428564603e-06
            ],
            [
                2.902312677060767e-06,
                7.889259763728304e-06,
                2.2603251061458426e-06,
                4.222831934248571e-06,
                0.9999646437577258,
                7.338208930443633e-07,
                4.450851580566494e-07,
                1.0129987356191011e-05,
                6.475948754012522e-07,
                1.7603438428188364e-06
            ],
            [
                1.0129995809044816e-05,
                1.3007133115667397e-05,
                2.144495607492721e-05,
                4.785093353787868e-06,
                2.561281905376098e-06,
                3.466325797896173e-07,
                2.561282515886208e-06,
                1.9947290081286418e-06,
                4.785093924156175e-06,
                1.5534983101549167e-06
            ],
            [
                0.9999970976890534,
                0.9999980052695654,
                0.9999967112517193,
                0.9999990577554061,
                0.9999987901341724,
                0.9999980052709919,
                0.9999984465028011,
                0.9999980052702786,
                0.9999980052702786,
                0.9999977396765106
            ],
            [
                0.9999151889688184,
                0.999948557798623,
                0.999860177909526,
                0.9997040429723724,
                0.9997694931757305,
                0.9999151889586547,
                0.9996646498110714,
                0.9994472213248725,
                0.9998415637457365,
                0.9997694932033034
            ],
            [
                6.144175334239434e-06,
                1.2098656835076114e-06,
                NaN,
                5.422217676925328e-06,
                2.260325375650449e-06,
                7.338213304343413e-07,
                4.222834954561012e-06,
                4.785093924047376e-06,
                1.7603438428564603e-06,
                4.222833444429485e-06
            ],
            [
                0.9999938558275955,
                0.9999599362982708,
                0.9999962733616045,
                0.9999952149037941,
                0.9999852610145148,
                0.9998911031297456,
                0.9999885212359798,
                0.9999599362934934,
                0.99992515374599,
                0.9999038975621606
            ],
            [
                1.7603432133032607e-06,
                1.067702742726318e-06,
                3.288749849368453e-06,
                1.0677027427413698e-06,
                9.422443692446175e-07,
                1.2098661161927025e-06,
                1.760344052714248e-06,
                9.422445939002803e-07,
                2.902312677007974e-06,
                7.338211554688417e-07
            ],
            [
                6.144173868983067e-06,
                2.5612831266608576e-06,
                7.338210679979539e-07,
                2.5612819052072116e-06,
                1.5534971989907999e-06,
                2.5612819053166966e-06,
                4.222832437497486e-06,
                2.56128159999123e-06,
                2.561282210618905e-06,
                4.222835458002318e-06
            ],
            [
                0.9999962733616047,
                0.9999967112509348,
                0.999997438717484,
                0.9999938558268638,
                0.9999756997534794,
                0.9999977396751634,
                0.9999910603015656,
                0.999993037740431,
                0.9999990577549568,
                0.9999970976890531
            ],
            [
                1.7603427936079236e-06,
                1.553498495338299e-06,
                2.260324567268294e-06,
                2.1024329090929374e-07,
                9.422448185435711e-07,
                3.2887478891487563e-06,
                3.2887478892055875e-06,
                1.0677028700320085e-06,
                2.9023123310290063e-06,
                2.5612822106841303e-06
            ],
            [
                0.9999994284997573,
                0.9999997300420937,
                0.9999996072136592,
                0.9999997300421903,
                0.9999996072137061,
                0.9999994284996211,
                0.9999991684718732,
                0.99999893229713,
                0.9999994956525918,
                0.9999996072139402
            ],
            [
                1.5534973841895917e-06,
                5.043472879504592e-07,
                1.553498495281783e-06,
                1.2098662604126641e-06,
                8.31528126775552e-07,
                4.450851580540182e-07,
                6.475947210012481e-07,
                4.450848927621807e-07,
                1.3709572068272963e-06,
                2.260323489490968e-06
            ],
            [
                4.450849458200093e-07,
                1.760342793583908e-06,
                2.902313368963394e-06,
                2.5612812946681295e-06,
                1.6701421842566163e-05,
                2.5612812947380135e-06,
                1.6701423834591316e-05,
                2.5612825159421147e-06,
                NaN,
                8.31528424162821e-07
            ],
            [
                0.9999987901337396,
                0.9999938558239336,
                0.9999970976866311,
                0.9999990577550691,
                0.9999982396572065,
                0.9999990577554061,
                0.9999991684721706,
                0.9999984465026158,
                NaN,
                0.9999989322968753
            ],
            [
                0.9999869928730887,
                0.9999938558224684,
                0.9999921107383553,
                0.9999646437535097,
                0.9999938558275957,
                0.9999885212277704,
                0.9999832985721833,
                0.9997694931753952,
                0.9999921107355338,
                0.9999756997650643
            ],
            [
                0.9980732653657756,
                0.999195914141161,
                0.9770226284173629,
                0.998967768793984,
                0.9996200155601777,
                0.9990889487704724,
                0.9984988175249656,
                0.9980732653711484,
                0.9999038975621306,
                0.9982992774814365
            ],
            [
                1.1478768124553928e-05,
                5.422218323231539e-06,
                4.222834451327159e-06,
                1.1478765385746131e-05,
                2.144495096785658e-05,
                4.222834954687752e-06,
                3.288748673319648e-06,
                8.93969417150998e-06,
                6.962257079629686e-06,
                1.473897669838221e-05
            ],
            [
                0.999999266178932,
                0.9999974387177893,
                0.9999921107355337,
                0.9999986290429566,
                0.9999898700126436,
                0.9999986290421395,
                0.999995214904935,
                0.9999962733611603,
                0.9999980052693274,
                0.9999980052707541
            ],
            [
                2.26032402841657e-06,
                1.7603427936183298e-06,
                1.670142781560441e-05,
                4.2228319341064674e-06,
                8.939700566289352e-06,
                2.5612815999679353e-06,
                7.889266347356409e-06,
                4.222833444429485e-06,
                7.889262584508638e-06,
                4.785096776194573e-06
            ],
            [
                0.999994577781031,
                2.2603234895289998e-06,
                1.3007131565376817e-05,
                1.0129995809929273e-05,
                0.9999967112501507,
                0.9999962733620488,
                0.999992110735535,
                9.422443692555439e-07,
                0.9999977396759716,
                0.9999992661786696
            ],
            [
                4.785095065132354e-06,
                4.22283545795623e-06,
                1.0129993393945642e-05,
                4.222831934286977e-06,
                5.422217030362759e-06,
                1.670141985166528e-05,
                1.1478773597870298e-05,
                1.1478773598099973e-05,
                2.902313022984344e-06,
                8.939699500489763e-06
            ],
            [
                0.9998766053810586,
                0.9993736658262602,
                0.9996200154255522,
                0.9995694429639425,
                0.999738809723432,
                0.9999546021259557,
                0.9995121428855623,
                0.9999546021313719,
                0.9999646437450794,
                0.9999251537549613
            ],
            [
                4.2228324377164004e-06,
                2.2603248367512505e-06,
                6.144173869502757e-06,
                2.1444943298320236e-05,
                6.144173136952939e-06,
                6.962259569560613e-06,
                1.0129992187253088e-05,
                2.561282821352716e-06,
                1.3007123812317831e-05,
                2.2603240283888175e-06
            ],
            [
                1.370956716529941e-06,
                5.422218323093458e-06,
                6.144173136556186e-06,
                6.96225707894582e-06,
                8.939698434153684e-06,
                1.0129992186202796e-05,
                6.962257908880483e-06,
                3.726640616630245e-06,
                4.22283344433731e-06,
                1.3007131563815288e-05
            ],
            [
                1.0677027427413698e-06,
                1.2098662603961589e-06,
                1.9947301970451086e-06,
                1.7603440527046419e-06,
                5.715006514151423e-07,
                5.422220262195015e-06,
                1.0677031245851707e-06,
                7.338212429504183e-07,
                2.902312677104321e-06,
                6.475946438022905e-07
            ],
            [
                1.3007126913583456e-05,
                5.71500515159253e-07,
                9.422449308716635e-07,
                1.7603427936079236e-06,
                1.553498495338299e-06,
                9.422450431989127e-07,
                2.561283126679493e-06,
                1.0677024881382882e-06,
                2.902311985146426e-06,
                1.994729245917502e-06
            ],
            [
                1.7603436330179102e-06,
                1.0677027427569065e-06,
                6.962253759486771e-06,
                3.2887482812745586e-06,
                5.422219616026655e-06,
                1.147877222879974e-05,
                5.422221554926484e-06,
                1.2098659719757836e-06,
                3.7266388397382506e-06,
                7.889265406904397e-06
            ],
            [
                0.9999980052702786,
                0.9999921107364748,
                0.9999962733620488,
                0.9999970976866309,
                0.9999962733620489,
                0.9999945777790914,
                0.9999967112505427,
                0.999995214906076,
                0.9998204719494747,
                0.9999962733598277
            ],
            [
                0.9999996533674202,
                0.9999986290421395,
                0.9999987901338838,
                0.9999997617631183,
                0.9999995549150542,
                0.9999996940976271,
                0.9999996072136592,
                0.9999994284994848,
                0.9999989322968754,
                0.999998446502801
            ],
            [
                0.9999885212318746,
                0.999915188958662,
                0.999948557798614,
                0.9999339478710885,
                0.9999251537817047,
                0.999964643732433,
                0.999968798077472,
                0.9999339478553327,
                0.9999646437577226,
                0.9999599362887142
            ]
        ]
    },
    {
        "q_id": "10501_mmlu_computer science",
        "cot_ids": [
            0,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999832985801468,
                0.9999756997650764,
                0.9999989322970027,
                0.9999810748427413,
                0.9999938558232009,
                0.999995214904935,
                0.9999990577556308,
                0.9999945777790913,
                0.9999898700090208,
                0.9999945777829696
            ],
            [
                9.422449307915373e-07,
                9.422448185101494e-07,
                4.7850939242083995e-06,
                9.422449308420983e-07,
                2.561282821069686e-06,
                2.9023133687786197e-06,
                1.7603434230729168e-06,
                1.3709570433786157e-06,
                6.1441724029223715e-06,
                6.144176797730321e-06
            ],
            [
                0.9999993524050474,
                0.9999957771680661,
                0.9999724643023409,
                0.9999984465015047,
                0.9999810748585329,
                0.9999930377429207,
                0.9999921107345932,
                0.9999967112493665,
                0.9999980052702786,
                0.9999945777790913
            ],
            [
                4.222834451012227e-06,
                1.4738987241494252e-05,
                4.78509392429544e-06,
                6.144175333401224e-06,
                7.338211554688417e-07,
                6.144173869312763e-06,
                1.6701415864001047e-05,
                5.422219614951598e-06,
                4.7850967757637256e-06,
                1.0677026154376365e-06
            ],
            [
                6.962257079059797e-06,
                8.315277302059155e-07,
                2.5612822104977725e-06,
                8.939700565996655e-06,
                4.785095064523075e-06,
                2.2603251060738913e-06,
                2.902313368963394e-06,
                1.4738983725809062e-05,
                7.889262585441413e-06,
                6.9622554185195676e-06
            ],
            [
                1.9947290080905435e-06,
                7.889264465555602e-06,
                4.222831933795376e-06,
                2.144495863045236e-05,
                4.22283545795623e-06,
                8.939699498587217e-06,
                6.962253759043525e-06,
                2.260323489490968e-06,
                7.889264465699106e-06,
                1.670142581075876e-05
            ],
            [
                3.5356250658398075e-05,
                1.1478764019077695e-05,
                6.144174600605357e-06,
                4.222835457595211e-06,
                8.315281267649641e-07,
                3.120190015868497e-05,
                1.6701419848475466e-05,
                3.7266392836984955e-06,
                1.3007133114886634e-05,
                8.481106149875219e-05
            ],
            [
                3.927863875459951e-07,
                1.0129992186939844e-05,
                7.8892625810789e-06,
                3.5356250608493225e-05,
                1.5534971989568904e-06,
                3.7266383951544193e-06,
                7.338211554464836e-07,
                5.422217030362759e-06,
                2.260324028351814e-06,
                4.222833444283541e-06
            ],
            [
                0.00017952790121781749,
                4.006370640786867e-05,
                6.1441731363550164e-06,
                1.892515725300831e-05,
                2.144495862967221e-05,
                0.9999251537372105,
                1.892514370819833e-05,
                1.0129989769464556e-05,
                3.120191136649749e-05,
                2.1444958632714784e-05
            ],
            [
                0.9999945777810303,
                0.9999869928761898,
                0.999998790134028,
                0.9999984465024306,
                0.9999986290427931,
                0.9999599363030484,
                0.9999921107345942,
                0.9999945777810304,
                0.9999970976866311,
                0.9999962733611601
            ],
            [
                2.9023123310290063e-06,
                1.6701423833436905e-05,
                4.785094494402695e-06,
                2.902313022659669e-06,
                6.962255419653012e-06,
                3.288750633488963e-06,
                2.753570420429731e-05,
                2.2603242978377903e-06,
                5.422221555069497e-06,
                2.561281600049467e-06
            ],
            [
                0.9999852610110012,
                0.9999962733620495,
                0.9999898700090211,
                0.9999687980960746,
                0.9998911030388833,
                0.9999646437366568,
                0.9999852610110019,
                0.9999930377437507,
                0.9999869928746379,
                0.999704042794832
            ],
            [
                2.9023126769050284e-06,
                2.144495096457996e-05,
                2.4300237809495462e-05,
                1.8925148236123232e-05,
                8.939700566143004e-06,
                1.8925157258585e-05,
                3.2887482807182155e-06,
                1.9947301970106386e-06,
                7.889263525778283e-06,
                8.93969630317306e-06
            ],
            [
                1.0129994600398803e-05,
                7.88926446470893e-06,
                1.2098655391045077e-06,
                1.3709576968904135e-06,
                6.1441760651689774e-06,
                5.422220261849814e-06,
                1.9947301956336663e-06,
                2.902311984915459e-06,
                1.3007123809644304e-05,
                3.7266388391993445e-06
            ],
            [
                0.9999945777829695,
                0.999997097687323,
                0.9999945777810303,
                0.9999945777790912,
                0.9999952149060758,
                0.9999967112501507,
                0.9999990577552939,
                0.9999974387184,
                0.9999945777797375,
                0.9999921107336528
            ],
            [
                2.4300249386306803e-05,
                1.2098661161107252e-06,
                7.88926634687567e-06,
                7.88925976418034e-06,
                1.2098659719524008e-06,
                5.043474081931949e-07,
                6.962257079376403e-06,
                2.260323758882316e-06,
                2.902312330965655e-06,
                3.7266397280960194e-06
            ],
            [
                3.120190391410763e-05,
                1.8925154997134284e-05,
                1.012999580884213e-05,
                5.144220744171262e-05,
                1.3007134665413997e-05,
                1.5534973841450852e-06,
                3.53562506982705e-05,
                4.006367779199926e-05,
                3.12019076377484e-05,
                2.9023126769050284e-06
            ],
            [
                1.8925148238808306e-05,
                3.726641060956752e-06,
                1.0129990978644356e-05,
                3.120191877428034e-05,
                1.1478765387416494e-05,
                2.1444940740066406e-05,
                1.4738980211116665e-05,
                1.7603432131855856e-06,
                4.222831934248571e-06,
                3.7266410609160796e-06
            ],
            [
                0.9999852610233005,
                0.9999967112513267,
                0.999995214903794,
                0.999981074849503,
                0.9999962733589389,
                0.9999921107345934,
                0.9999921107392957,
                0.9999957771665557,
                0.9999687980923515,
                0.9999986290421394
            ],
            [
                4.2228329408924035e-06,
                1.0129987356191011e-05,
                6.144176798590883e-06,
                1.0129987355343409e-05,
                1.994730434778778e-06,
                5.422217030495909e-06,
                1.4738981970312625e-05,
                3.120192622644674e-05,
                8.939693106182721e-06,
                6.144175334094145e-06
            ],
            [
                1.7603432132784448e-06,
                2.4300243621371074e-05,
                6.962257079376403e-06,
                2.561283431888668e-06,
                8.481107155633124e-05,
                3.726637950241874e-06,
                2.5612822099713135e-06,
                3.2887478888496478e-06,
                4.785096204650886e-06,
                7.889259763326495e-06
            ],
            [
                5.422217676654099e-06,
                6.144176798590883e-06,
                3.726640172537657e-06,
                8.939700565102295e-06,
                1.0129988564264954e-05,
                3.2887490653109436e-06,
                8.939693106020111e-06,
                1.0129988561372045e-05,
                3.2887478887419687e-06,
                8.93969417150998e-06
            ],
            [
                1.5534971989427613e-06,
                1.1478773596575768e-05,
                1.9947299590810645e-06,
                1.0129990975862006e-05,
                5.422221552224048e-06,
                4.222832940777184e-06,
                1.670142781244497e-05,
                3.2887482812506295e-06,
                8.93969736456552e-06,
                2.144494072048475e-05
            ],
            [
                2.1444940733201126e-05,
                1.6701415867707307e-05,
                7.889260704050487e-06,
                1.8925150492616083e-05,
                3.2887502409830123e-06,
                5.829128632668981e-05,
                2.430023781568357e-05,
                4.222834954403545e-06,
                3.726640616477725e-06,
                1.7603436329714805e-06
            ],
            [
                5.71500515151976e-07,
                4.2228334437304904e-06,
                1.012998734977871e-05,
                1.3007130013288297e-05,
                7.889260704423598e-06,
                1.1478768124992398e-05,
                5.422220908481809e-06,
                6.962259569003389e-06,
                6.144175334015912e-06,
                2.5612822106841303e-06
            ],
            [
                2.9023123309973302e-06,
                1.5534977545243671e-06,
                2.2603242977308917e-06,
                6.144173136243255e-06,
                1.2098655391947376e-06,
                1.473898899742027e-05,
                1.994730434816876e-06,
                2.9023123310290063e-06,
                2.753569437686898e-05,
                1.300713311517055e-05
            ],
            [
                4.222834954561012e-06,
                2.7535691079423274e-05,
                2.7535684524701807e-05,
                2.7535687811228037e-05,
                1.3007126910294786e-05,
                4.785094494463623e-06,
                4.2228324375512536e-06,
                1.5534979397677313e-06,
                4.0063692172075196e-05,
                3.7266401724291984e-06
            ],
            [
                1.067702615468225e-06,
                5.829127243062412e-05,
                6.9622537593854575e-06,
                1.0677028700053041e-06,
                2.902310947190096e-06,
                1.7603430034439723e-06,
                5.422217030209884e-06,
                8.315282259009745e-07,
                1.3007130012673148e-05,
                1.4738983724146862e-05
            ],
            [
                2.753570420429731e-05,
                1.0129992186939844e-05,
                6.144176066264237e-06,
                6.962257908487893e-06,
                6.962259569117366e-06,
                1.6701419846834993e-05,
                1.2098658276730537e-06,
                2.753569765908901e-05,
                1.0129990978847043e-05,
                3.2887498492936755e-06
            ],
            [
                2.5612815995532906e-06,
                4.222833947820683e-06,
                5.144220138599094e-05,
                6.962253759157502e-06,
                8.939696303010449e-06,
                4.78509563555309e-06,
                1.3709573701812335e-06,
                7.889266346746518e-06,
                1.0677033791291683e-06,
                1.3709568799243436e-06
            ],
            [
                1.670142381836882e-05,
                2.1444958614225316e-05,
                1.4738981968060613e-05,
                5.4222189671756605e-06,
                3.5356267527012524e-05,
                4.006367775235664e-05,
                1.1478772229781076e-05,
                4.2228354571957855e-06,
                1.4738983720179032e-05,
                2.753570421361326e-05
            ],
            [
                1.0129989768911772e-05,
                3.535625911829982e-05,
                4.006369217003476e-05,
                3.1201903929204235e-05,
                7.889264465555602e-06,
                3.2887482811579057e-06,
                0.000139822090319383,
                1.3007126912258525e-05,
                2.260323489410794e-06,
                7.484624491729e-05
            ],
            [
                1.5534973840786793e-06,
                2.144494328950459e-05,
                6.96225707894582e-06,
                6.475945665900901e-07,
                4.785096205882502e-06,
                1.3007131562514014e-05,
                7.889266345770692e-06,
                1.1478768124324254e-05,
                8.939696302457574e-06,
                8.939700565996655e-06
            ],
            [
                3.726640172385136e-06,
                2.2603242977555607e-06,
                5.422219615750493e-06,
                2.561283431888668e-06,
                7.889259763728304e-06,
                1.0677032518209896e-06,
                6.144173136729416e-06,
                1.9947294834796172e-06,
                3.2887494573561262e-06,
                5.422217030362759e-06
            ],
            [
                0.9999852610233002,
                0.9999852610180293,
                0.9999938558232012,
                0.99997246431547,
                0.9999810748427375,
                0.999983298574178,
                0.9999910603058279,
                0.999995777167059,
                0.9999982396565769,
                0.9999945777797377
            ],
            [
                7.889259763857458e-06,
                1.0677024881683915e-06,
                1.4738976699749503e-05,
                1.67014178576052e-05,
                5.144221963512372e-05,
                2.5612825159421147e-06,
                3.120190392534495e-05,
                2.753570422573402e-05,
                3.726640616748873e-06,
                3.2887498494282754e-06
            ],
            [
                1.3709575336530204e-06,
                1.994730672407252e-06,
                1.5534975692866768e-06,
                5.422218323290717e-06,
                3.535625488822007e-05,
                1.670142781432848e-05,
                4.222833444229772e-06,
                1.3007134664822509e-05,
                4.785092783319532e-06,
                9.422450431654909e-07
            ],
            [
                0.9999992661786696,
                0.9999986290426297,
                0.9999982396559474,
                0.9999977396765105,
                0.9999989322971301,
                0.9999687980886347,
                0.9999980052707541,
                0.9999986290427931,
                0.9999984465015047,
                0.9999962733607161
            ],
            [
                1.473897669838221e-05,
                8.939694171135975e-06,
                6.962254589433702e-06,
                3.120191507333991e-05,
                5.8291272374642915e-05,
                8.939699500636112e-06,
                6.962253756232077e-06,
                6.144175333837093e-06,
                6.14417753110761e-06,
                1.553498310118888e-06
            ],
            [
                6.962259568775433e-06,
                8.939700566565793e-06,
                7.338208055613267e-07,
                1.1478766755985128e-05,
                7.889264465986113e-06,
                1.7603436329714805e-06,
                4.222834954561012e-06,
                4.2228319341064674e-06,
                8.939695238089467e-06,
                1.1478765387416494e-05
            ],
            [
                1.1478768123823146e-05,
                1.6701421838799146e-05,
                4.7850933534310035e-06,
                3.288750241473551e-06,
                1.2098661161107252e-06,
                4.785095064819011e-06,
                7.889259763469998e-06,
                3.2887494572873306e-06,
                6.962257909121104e-06,
                3.726638839656906e-06
            ],
            [
                1.9947292458930106e-06,
                7.889262585082652e-06,
                1.760342792504821e-06,
                1.8925150494750372e-05,
                1.1478764018305152e-05,
                4.222833947674739e-06,
                6.144173868882483e-06,
                5.422220908762902e-06,
                8.939697369004791e-06,
                2.5612831261041147e-06
            ],
            [
                6.962257909121104e-06,
                9.422443691893433e-07,
                1.0129993394664264e-05,
                7.338212429504183e-07,
                0.9999485577802376,
                4.222831934286977e-06,
                1.7603434229832599e-06,
                0.9990889488748466,
                7.889260704308795e-06,
                1.6701425822059825e-05
            ],
            [
                3.7266379512112265e-06,
                1.0129994599072117e-05,
                1.8925157259824262e-05,
                3.2887498491620677e-06,
                8.939697368663308e-06,
                1.0129992186774007e-05,
                2.4300243618542217e-05,
                1.2098656834723998e-06,
                1.99472900796355e-06,
                2.144494072376136e-05
            ],
            [
                1.6701429804288556e-05,
                1.3007134665130082e-05,
                1.9947301968382903e-06,
                8.93969523617066e-06,
                3.1201918798457626e-05,
                5.422217676397663e-06,
                4.450852111120808e-07,
                4.785094494576774e-06,
                1.0129995807699706e-05,
                7.889265405146477e-06
            ],
            [
                8.93969417150998e-06,
                5.422217676797111e-06,
                1.1478769492893215e-05,
                1.3709570432701375e-06,
                0.9996646498612208,
                1.1478764019557924e-05,
                8.939696302831578e-06,
                8.939696302652706e-06,
                4.539786857989385e-05,
                1.994729008074216e-06
            ],
            [
                2.4300252308334918e-05,
                1.8925157260443894e-05,
                1.8925150479534963e-05,
                0.9999485577986563,
                4.0063701693307245e-05,
                3.1201907645920996e-05,
                1.3007130010922344e-05,
                5.8291279387562654e-05,
                3.1201918783020485e-05,
                2.9023119845142345e-06
            ],
            [
                9.422442569208767e-07,
                1.3007128460040644e-05,
                4.222832437677995e-06,
                8.315277302649045e-07,
                1.4738985480608657e-05,
                4.222833947774596e-06,
                3.288750633545794e-06,
                1.4738976699106073e-05,
                2.902312677060767e-06,
                6.962255419653012e-06
            ],
            [
                2.5612825154622447e-06,
                6.605213667550255e-05,
                2.1444958628814052e-05,
                2.561282821106957e-06,
                1.4738981968864903e-05,
                2.260323489299784e-06,
                2.1444953517842076e-05,
                1.2098656833689656e-06,
                1.9947306725868575e-06,
                1.5534971989696065e-06
            ],
            [
                0.9998204719912641,
                0.9999724643187523,
                0.999820472055577,
                0.9999910603036964,
                0.9999785550515884,
                0.9998204720340488,
                0.9999869928653355,
                0.9998911030518745,
                0.9999417087559646,
                0.9996200155627424
            ],
            [
                3.288748673035494e-06,
                4.7850950646797465e-06,
                1.0677026153133397e-06,
                6.962257907880012e-06,
                4.222831934248571e-06,
                3.2887498492936755e-06,
                2.9023109465275493e-06,
                5.422220261948442e-06,
                3.0590237278532086e-07,
                8.939696302457574e-06
            ],
            [
                2.9023130230133794e-06,
                0.9991959139522719,
                1.4738978456398127e-05,
                6.144176066672166e-06,
                1.1478769491306371e-05,
                3.5356238062828204e-05,
                7.889264466344872e-06,
                8.315284241560147e-07,
                1.7603432133032607e-06,
                0.999925153790678
            ],
            [
                2.7535687813231466e-05,
                5.043473480678099e-07,
                6.14417753110761e-06,
                1.3709578605455302e-06,
                1.012999339309804e-05,
                7.338208055489796e-07,
                2.561282210701601e-06,
                4.78509563550957e-06,
                1.8925148237775583e-05,
                0.999915188928401
            ],
            [
                4.5397863124032274e-05,
                4.222834451254188e-06,
                4.222832437639588e-06,
                1.4738985481091229e-05,
                1.994729008056074e-06,
                2.9023112931688987e-06,
                1.4738976695942536e-05,
                1.4738988990369329e-05,
                1.4738987239698005e-05,
                4.7850962047640385e-06
            ],
            [
                1.0677031245429291e-06,
                3.7266392838544054e-06,
                6.144173136556186e-06,
                5.422217676654099e-06,
                2.4300234914166368e-05,
                1.1478773595970265e-05,
                3.726640616630245e-06,
                2.2603245671490605e-06,
                8.939694172542558e-06,
                1.760343842833246e-06
            ],
            [
                0.9999898700066052,
                0.9999756997505828,
                0.9999987901338838,
                0.9999952149055056,
                0.9999938558239336,
                0.9999970976890528,
                0.9999984465026159,
                0.9999869928684348,
                0.9999938558275957,
                0.9999952149043645
            ],
            [
                0.9999930377404307,
                0.9999967112509347,
                0.9999962733620488,
                0.9999945777829893,
                0.9999967112501518,
                0.9999945777803843,
                0.9999921107364739,
                0.9999756997563729,
                0.9999885212332436,
                0.9999151889182596
            ],
            [
                1.4738976697631541e-05,
                1.4738980208864656e-05,
                4.7850950649408664e-06,
                1.0129987354882753e-05,
                4.222835457852533e-06,
                1.670141984792864e-05,
                6.1441760667392215e-06,
                1.994730434798734e-06,
                1.370957533676711e-06,
                6.962253759581752e-06
            ],
            [
                6.1441767990323395e-06,
                1.3007125361755747e-05,
                2.4300246520590875e-05,
                3.120191875680005e-05,
                1.3007134665934505e-05,
                2.5612831265909735e-06,
                3.7266397249778205e-06,
                1.6701417850314193e-05,
                1.4738978448810996e-05,
                2.1444943296369872e-05
            ],
            [
                3.726641060244989e-06,
                5.422218322348809e-06,
                8.939700559475965e-06,
                3.120190764716959e-05,
                1.6701421837705495e-05,
                2.1444948410303962e-05,
                3.5356259125502595e-05,
                2.902313022984344e-06,
                2.902311982539792e-06,
                1.67014238321306e-05
            ],
            [
                4.785093353352668e-06,
                7.88925976359915e-06,
                1.3709567164962755e-06,
                7.338211554464836e-07,
                2.902312330849511e-06,
                4.222834954280646e-06,
                6.9622562489985925e-06,
                6.9622562487453084e-06,
                3.726637951028202e-06,
                1.6701419849447602e-05
            ],
            [
                4.222832437324657e-06,
                6.14417386791016e-06,
                2.2603253754284284e-06,
                1.6701427813872793e-05,
                8.939695237162584e-06,
                6.962258738435319e-06,
                6.962258736700326e-06,
                1.1478765387667046e-05,
                6.605213650538403e-05,
                5.4222196154940574e-06
            ],
            [
                1.3007123812057577e-05,
                4.22283344433731e-06,
                1.0129988558792384e-05,
                1.4738980209829803e-05,
                3.120192623836512e-05,
                7.889263525534328e-06,
                1.5534981247144094e-06,
                1.1478769492893215e-05,
                2.1444953517061932e-05,
                6.962257909501028e-06
            ],
            [
                1.7603427935678977e-06,
                1.473898197063434e-05,
                2.2603234894560207e-06,
                1.8925143714394646e-05,
                1.3007128460419196e-05,
                1.6701417858577338e-05,
                6.144176066353646e-06,
                5.4222215552470286e-06,
                1.012999580884213e-05,
                1.7603438428028262e-06
            ],
            [
                7.889266347133978e-06,
                3.2887498492936755e-06,
                7.338210679816025e-07,
                1.7603438427852151e-06,
                4.785095634121282e-06,
                2.5612819051373276e-06,
                7.889266346746518e-06,
                3.4663274507098256e-07,
                6.144176798870286e-06,
                6.962255419051463e-06
            ],
            [
                1.0129992186387057e-05,
                3.1201918772464205e-05,
                1.7603425837366772e-06,
                1.1478768124992398e-05,
                7.889262581595514e-06,
                2.2603242977802297e-06,
                5.422218322348809e-06,
                5.422220261849814e-06,
                7.889260703763482e-06,
                2.1444956079218013e-05
            ],
            [
                0.9999984465024306,
                0.9999982396565769,
                0.9999967112501507,
                0.9999869928653375,
                0.9999962733598275,
                0.9999962733620489,
                0.9999982396565769,
                0.9999980052700407,
                0.9999687980849142,
                0.9999967112497585
            ],
            [
                0.9999810748540162,
                0.9999785550464753,
                0.9999546021097148,
                0.9998601778926955,
                0.999948557780219,
                0.9999832985761654,
                0.9999756997650606,
                0.9999485577618096,
                0.9999898700114356,
                0.9999756997505774
            ],
            [
                5.422218323399208e-06,
                8.939700566435704e-06,
                1.2098656834834034e-06,
                5.4222215550004564e-06,
                1.0677028700053041e-06,
                3.288750241374845e-06,
                3.0590229985101266e-07,
                1.012999460150437e-05,
                1.1478765388314311e-05,
                1.473898899908247e-05
            ],
            [
                4.4508505193123265e-07,
                3.4663262110189246e-07,
                4.22283294098842e-06,
                3.2887498494282754e-06,
                7.889263525261671e-06,
                1.9947292458930106e-06,
                1.0677029972745947e-06,
                1.147877086073156e-05,
                5.422218323349895e-06,
                5.422218322940583e-06
            ],
            [
                0.9999885212305076,
                0.9999930377420905,
                0.9999869928746374,
                0.9999921107383548,
                0.9999724642990576,
                0.9999869928761876,
                0.9999930377437506,
                0.9999938558239335,
                0.9999967112521111,
                0.9999962733589405
            ],
            [
                2.1444958627955892e-05,
                4.785095064819011e-06,
                4.78509563555309e-06,
                4.2228319341064674e-06,
                7.88926446430712e-06,
                7.889266347356409e-06,
                7.889266344981421e-06,
                6.9622562484666964e-06,
                3.726638839656906e-06,
                8.939694169835089e-06
            ],
            [
                4.0063706481032684e-05,
                1.7603436328289897e-06,
                5.829127937441555e-05,
                1.994729721436347e-06,
                1.06770312455264e-06,
                4.785096205830278e-06,
                6.475948753847607e-07,
                7.484625391195843e-05,
                4.222833946937338e-06,
                1.6701417854810315e-05
            ],
            [
                8.939699491546175e-06,
                1.7603427935678977e-06,
                5.829128634789482e-05,
                2.561283431888668e-06,
                1.5534981248528732e-06,
                4.539787934232424e-05,
                2.4300237829827827e-05,
                2.1444958635523312e-05,
                2.4300234925658572e-05,
                2.7535684500460307e-05
            ],
            [
                1.67014178576052e-05,
                1.3007123810306773e-05,
                6.144174601097106e-06,
                1.4738987240475486e-05,
                3.726640616630245e-06,
                1.1478766754064213e-05,
                1.0129987355988324e-05,
                1.7603425834564988e-06,
                1.0129989769962063e-05,
                1.0129993394129904e-05
            ],
            [
                1.0129989771657269e-05,
                1.4738980211920955e-05,
                4.785093923847183e-06,
                4.539785226681024e-05,
                6.144173136885882e-06,
                1.1478765388314311e-05,
                2.753569109454917e-05,
                1.3709568799368123e-06,
                5.4222215550004564e-06,
                1.8925143721761383e-05
            ],
            [
                1.8925141460105737e-05,
                4.785093353687772e-06,
                7.88926446430712e-06,
                1.892515048449202e-05,
                2.260324028331257e-06,
                5.422221554926484e-06,
                5.422217030288788e-06,
                1.4738988998787566e-05,
                8.93969310418261e-06,
                2.2603234894560207e-06
            ],
            [
                2.9023119850527192e-06,
                8.939698434966738e-06,
                2.1444953521586782e-05,
                4.222832437186393e-06,
                3.2887478891128633e-06,
                6.1441746018123775e-06,
                7.889262584350785e-06,
                1.1478770860481005e-05,
                1.370956716519966e-06,
                9.422443691773458e-07
            ],
            [
                8.939694171135975e-06,
                1.553497568999859e-06,
                1.1478770860982112e-05,
                3.288749456838667e-06,
                3.120190392670705e-05,
                7.33820718019402e-07,
                2.2603234892298883e-06,
                2.9023130229209922e-06,
                3.7266406165319545e-06,
                3.288749849209925e-06
            ],
            [
                1.3709573702778664e-06,
                4.222831934202483e-06,
                4.222831934321543e-06,
                1.067702615468225e-06,
                1.994729483694599e-06,
                5.422221554374162e-06,
                1.0129994601872894e-05,
                6.144177531532303e-06,
                4.7850927822924614e-06,
                8.939698434495167e-06
            ],
            [
                2.1444948398445745e-05,
                2.7535684530912436e-05,
                3.7266392836984955e-06,
                4.222833444283541e-06,
                1.3007133114602719e-05,
                1.670141985166528e-05,
                2.9023112929973233e-06,
                6.1441767987808774e-06,
                8.93969310675186e-06,
                6.1441767989541075e-06
            ],
            [
                3.1201911339482505e-05,
                1.1478770859332632e-05,
                3.288747889038086e-06,
                2.9023123309287002e-06,
                8.9397005654763e-06,
                3.2887490649759413e-06,
                1.3007128461838766e-05,
                1.147877222702498e-05,
                1.2098659719122375e-06,
                3.535626334323525e-05
            ],
            [
                8.939699497335115e-06,
                7.889265402362503e-06,
                3.726639283901856e-06,
                1.0129990978644356e-05,
                1.9947297213746646e-06,
                1.01299933928585e-05,
                2.1444945852673643e-05,
                4.539786860697828e-05,
                3.1201922523121745e-05,
                1.0129989771657269e-05
            ],
            [
                3.5356254902111115e-05,
                1.8925157257965367e-05,
                4.0063711244273545e-05,
                1.6701419851270353e-05,
                9.610243774636368e-05,
                5.422221554758815e-06,
                3.2887506334560605e-06,
                5.8291265441454815e-05,
                1.8925143721072897e-05,
                1.300712536203966e-05
            ],
            [
                1.553497198908852e-06,
                1.994729959270648e-06,
                2.9023119850527192e-06,
                2.561281905390075e-06,
                7.338209805133949e-07,
                1.0677028700266676e-06,
                4.222831934248571e-06,
                1.0677033791291683e-06,
                1.4738980212644815e-05,
                6.475949525834513e-07
            ],
            [
                0.9999869928746383,
                0.9999921107392954,
                0.9999957771675624,
                0.9999962733602717,
                0.9999852610127582,
                0.9999852610145155,
                0.9999930377404305,
                0.9999962733589389,
                0.9999945777816768,
                0.9998601779259395
            ],
            [
                6.144176066672166e-06,
                6.9622545892184106e-06,
                2.5612831266165976e-06,
                1.3007130013288297e-05,
                4.222833947820683e-06,
                6.962256249429175e-06,
                3.120192624233791e-05,
                6.144173136556186e-06,
                2.561282821352716e-06,
                3.7266406165319545e-06
            ],
            [
                1.994730434798734e-06,
                4.785096205930373e-06,
                7.889261644760245e-06,
                1.6701423833831836e-05,
                6.144176798870286e-06,
                3.7266401725935817e-06,
                8.93969630388855e-06,
                6.475950297768503e-07,
                6.144174601879434e-06,
                9.422450431800595e-07
            ],
            [
                1.7603438426491283e-06,
                1.553497198908852e-06,
                1.2098656834723998e-06,
                4.222833444383398e-06,
                8.939698434332555e-06,
                3.120190764716959e-05,
                4.539786859839053e-05,
                8.939696303010449e-06,
                1.760343632920248e-06,
                1.0129990978847043e-05
            ],
            [
                0.9999885212305076,
                0.9999832985801471,
                0.9999898700102289,
                0.9999898700102277,
                0.9999930377454104,
                0.9998415637454691,
                0.9999990577554061,
                0.9999945777784449,
                0.9999974387177893,
                0.999986992874653
            ],
            [
                1.7603430034311638e-06,
                1.2098656835136636e-06,
                1.5534971972133775e-06,
                1.994729483666479e-06,
                3.927862002606139e-07,
                1.5534979395289518e-06,
                2.699578739999358e-07,
                5.422219615898437e-06,
                3.7266401722360055e-06,
                9.422450431732037e-07
            ],
            [
                3.4663274506893337e-07,
                5.422218969601935e-06,
                2.9023126767836054e-06,
                7.889260704050487e-06,
                1.994729483666479e-06,
                3.288750633518874e-06,
                4.222831934286977e-06,
                6.144173136952939e-06,
                7.889263525893087e-06,
                4.785096205717126e-06
            ],
            [
                3.288750633518874e-06,
                1.5534973840377051e-06,
                1.0129990979031306e-05,
                6.144174601499446e-06,
                1.7603438427243761e-06,
                1.3007123806450271e-05,
                1.7603440525701563e-06,
                7.889265406567165e-06,
                7.889260703763482e-06,
                6.962258737979408e-06
            ],
            [
                1.7603427935678977e-06,
                3.7266397281434697e-06,
                6.144176066521288e-06,
                3.2887478890769702e-06,
                2.1444948402034417e-05,
                6.144173869312763e-06,
                4.222834954461155e-06,
                3.2887498493983645e-06,
                6.962255418063657e-06,
                2.9023133687786197e-06
            ],
            [
                1.892515725920463e-05,
                6.962259568230874e-06,
                6.1441767989541075e-06,
                1.760342793583908e-06,
                6.962257079376403e-06,
                2.5612822106654943e-06,
                2.260323758746637e-06,
                7.889259762106714e-06,
                1.209866116170145e-06,
                2.4300246517938825e-05
            ],
            [
                9.422448185264317e-07,
                5.422217676654099e-06,
                9.422448185101494e-07,
                5.715005832676369e-07,
                1.0129994601301684e-05,
                1.2098655392574583e-06,
                1.4738978454172926e-05,
                8.939694171331106e-06,
                1.0677028699489821e-06,
                7.889261644631091e-06
            ],
            [
                9.422445938861406e-07,
                1.3709570433536782e-06,
                6.1441738691562974e-06,
                1.3709572067955008e-06,
                1.0129988561648438e-05,
                9.422443691893433e-07,
                1.300713466316634e-05,
                0.9975273764442414,
                8.939698434966738e-06,
                2.4300252313020203e-05
            ],
            [
                6.1441724044534996e-06,
                1.7603434231241496e-06,
                1.0129988561906404e-05,
                6.144176798870286e-06,
                1.4738988995409548e-05,
                4.2228349546493465e-06,
                1.8925150494750372e-05,
                3.2887506334201674e-06,
                4.2228324375512536e-06,
                6.962257078819179e-06
            ],
            [
                2.9023133690637e-06,
                6.144173869312763e-06,
                3.120191130543e-05,
                1.1478765385432939e-05,
                4.222833444383398e-06,
                3.2887498494551953e-06,
                3.726637951126493e-06,
                1.3709572068179446e-06,
                6.962257078819179e-06,
                1.0129988564430787e-05
            ],
            [
                6.962258739271155e-06,
                4.0063682546783496e-05,
                1.147877222879974e-05,
                7.889259763728304e-06,
                1.3007131559390956e-05,
                1.4738978439695717e-05,
                4.785096205582214e-06,
                9.422443691996268e-07,
                4.785094493636744e-06,
                8.93970056565517e-06
            ],
            [
                6.96225541788636e-06,
                1.3007125359413455e-05,
                1.3007126912258525e-05,
                6.962254589433702e-06,
                1.892514598427789e-05,
                8.93969630348202e-06,
                6.962257079173776e-06,
                4.785092783371756e-06,
                6.144172403592939e-06,
                1.3007126911004571e-05
            ],
            [
                4.785093353187292e-06,
                3.7266388395620047e-06,
                1.994730434555632e-06,
                8.939698434153684e-06,
                2.430024650299895e-05,
                6.96225458545715e-06,
                8.939699497855469e-06,
                1.012999460108057e-05,
                2.7535697650273915e-05,
                3.7266383953679482e-06
            ],
            [
                4.785093353787868e-06,
                6.144173136729416e-06,
                6.475951069896949e-07,
                4.785095635017795e-06,
                2.5612834320214477e-06,
                7.889261642794245e-06,
                1.5534981249023245e-06,
                1.670142980608093e-05,
                3.288749457409966e-06,
                4.7850950647493785e-06
            ],
            [
                1.3007126912258525e-05,
                8.939694172542558e-06,
                1.1478773597118638e-05,
                3.7266392836374875e-06,
                7.889266345770692e-06,
                1.6701423834591316e-05,
                2.9023133690188264e-06,
                8.939700564679507e-06,
                1.3007130013572209e-05,
                1.147876675466972e-05
            ],
            [
                6.9622570780973205e-06,
                1.067702488159652e-06,
                6.962253759486771e-06,
                6.9622554187981796e-06,
                1.209866116149238e-06,
                1.5534971989809095e-06,
                6.47594643784032e-07,
                7.889261642794245e-06,
                5.715005151353432e-07,
                8.939694171331106e-06
            ],
            [
                0.7057850340255386,
                0.9992903296238091,
                0.9997040430061273,
                0.9998204720772121,
                0.9998766054106218,
                0.999941708748413,
                0.9993736658285919,
                0.9997040429719246,
                0.9998766054258522,
                0.9997040428321691
            ],
            [
                1.0129988563343644e-05,
                1.1478764016780948e-05,
                3.2887502397387184e-06,
                1.0677027427166074e-06,
                2.1444945829581326e-05,
                1.6701429805199933e-05,
                2.5612825159421147e-06,
                3.7266388396975786e-06,
                5.422219615829396e-06,
                7.889266346746518e-06
            ],
            [
                0.999769493257302,
                2.430024941459533e-05,
                1.4738987236641703e-05,
                2.4300249408672413e-05,
                3.2887486728201357e-06,
                2.430024941459533e-05,
                1.6701425819447213e-05,
                9.422450431800595e-07,
                5.829124461687359e-05,
                3.5356238036718197e-05
            ],
            [
                0.9999980052695652,
                0.9999785550567036,
                0.999997097687669,
                0.9999967112509347,
                0.9999980052695652,
                0.9999974387177893,
                0.9999945777829696,
                0.9999957771680656,
                0.999997097688361,
                0.9999952149055054
            ],
            [
                1.4738976700661033e-05,
                2.5612825157045092e-06,
                1.5534983097133865e-06,
                5.422217676299034e-06,
                3.726640616748873e-06,
                2.753568450797317e-05,
                1.0129989770441144e-05,
                4.222833947728508e-06,
                5.422220907791405e-06,
                6.962256249429175e-06
            ],
            [
                0.9999994284994849,
                0.9999970976887068,
                0.9999910603047619,
                0.9999967112513267,
                0.9999989322968754,
                0.9999967112509347,
                0.9999967112497585,
                0.9999938558246659,
                0.9999785550490321,
                0.9999986290427931
            ],
            [
                5.422220908703723e-06,
                3.2887498493325602e-06,
                3.535625491265802e-05,
                6.475949525781504e-07,
                1.3709570433661467e-06,
                6.144175333021237e-06,
                3.1201926224857616e-05,
                5.422221554847581e-06,
                2.430023781329673e-05,
                6.962257079376403e-06
            ],
            [
                0.9999910603015649,
                0.9999339478475612,
                0.999991060304762,
                0.9999869928699856,
                0.9999938558246662,
                0.9999970976866309,
                0.9999957771675626,
                0.9999910603068933,
                0.9999832985721833,
                0.999993855826131
            ],
            [
                2.2603234892298883e-06,
                1.892514819894532e-05,
                6.962254588433232e-06,
                1.0677032517384486e-06,
                2.561282821352716e-06,
                2.260324028331257e-06,
                6.1441767987808774e-06,
                7.889260703906985e-06,
                2.561282515853595e-06,
                3.288750241042834e-06
            ],
            [
                8.939698432917844e-06,
                5.4222176759932836e-06,
                6.144175334239434e-06,
                4.785096776068365e-06,
                1.4738976694012237e-05,
                1.4738980212644815e-05,
                7.889266346746518e-06,
                8.939695237341456e-06,
                3.726638839806038e-06,
                8.939699498587217e-06
            ],
            [
                1.4738978454172926e-05,
                6.962259569313662e-06,
                1.370957206783032e-06,
                2.902312677060767e-06,
                2.902312330601386e-06,
                7.8892625810789e-06,
                1.5534971989258068e-06,
                1.0129988562901417e-05,
                5.422220907909759e-06,
                4.222834451215781e-06
            ],
            [
                6.962255419475714e-06,
                6.1441724044534996e-06,
                1.4738978455325741e-05,
                1.4738988995838502e-05,
                1.3709568798420497e-06,
                6.144173136019732e-06,
                3.288747889038086e-06,
                4.222835458002318e-06,
                5.422218969532895e-06,
                2.2603245672497918e-06
            ],
            [
                7.338209804920378e-07,
                2.2603242977802297e-06,
                1.8925152732723376e-05,
                3.7266406165319545e-06,
                7.338207180714596e-07,
                8.93970056529743e-06,
                1.8925148232267744e-05,
                2.4300240728162926e-05,
                2.561282515853595e-06,
                2.9023126769050284e-06
            ],
            [
                1.0129989771288745e-05,
                6.962254589332388e-06,
                5.422218323231539e-06,
                1.3007130014636887e-05,
                1.7603427935342762e-06,
                1.4738980213341866e-05,
                6.144172404129392e-06,
                1.7603425836246058e-06,
                1.76034258364702e-06,
                1.3709576970949014e-06
            ],
            [
                2.7535697655983693e-05,
                1.6701417859519093e-05,
                6.962259568889411e-06,
                6.475951069932288e-07,
                5.422219615829396e-06,
                7.889260703906985e-06,
                6.9622595694023114e-06,
                6.144177531532303e-06,
                4.222834954461155e-06,
                2.1444948406091176e-05
            ],
            [
                3.2887502409830123e-06,
                1.6701427807888088e-05,
                5.422218321993744e-06,
                6.962257909412379e-06,
                1.012998856312253e-05,
                1.1478768117434013e-05,
                1.147876675341695e-05,
                6.962254589705982e-06,
                8.939695236983711e-06,
                4.785092783149804e-06
            ],
            [
                2.260325375650449e-06,
                7.889264465555602e-06,
                5.1442207485876726e-05,
                1.2098656834723998e-06,
                1.8925150479534963e-05,
                1.7603438428028262e-06,
                1.147876675686207e-05,
                1.994729959270648e-06,
                2.902311292960369e-06,
                1.6701425819994037e-05
            ],
            [
                1.300712536203966e-05,
                2.7535684525803696e-05,
                7.889265406567165e-06,
                5.422221554847581e-06,
                1.2098662603862553e-06,
                1.300712536203966e-05,
                1.4738980213341866e-05,
                2.144495096161541e-05,
                1.553498310118888e-06,
                3.535625492063251e-05
            ],
            [
                0.9999974387168742,
                0.9999962733607161,
                0.9999974387171787,
                0.9999938558224717,
                0.9999982396561572,
                0.999996273358939,
                0.9999852610145172,
                0.9999251537995992,
                0.999995214904935,
                0.9999930377404312
            ],
            [
                1.4738980213020151e-05,
                8.939693105662367e-06,
                2.5612831263929686e-06,
                7.338211554725124e-07,
                3.288748672879957e-06,
                1.067703251797684e-06,
                3.5356267524954594e-05,
                2.9023112931873767e-06,
                3.288750241374845e-06,
                3.120191880379252e-05
            ],
            [
                6.144174601309452e-06,
                5.144220748924517e-05,
                3.1201903922734266e-05,
                3.120192251336002e-05,
                4.0063677837180203e-05,
                1.0677024880353552e-06,
                2.430025231469984e-05,
                7.889261644982674e-06,
                2.430024072648329e-05,
                4.5397863198349305e-05
            ]
        ]
    },
    {
        "q_id": "10477_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.043476486883855e-07,
                6.144176066795103e-06,
                7.338213304316717e-07,
                1.670141587174774e-05,
                5.4222202623972055e-06,
                1.670141985245514e-05,
                6.475945666033422e-07,
                1.2098655392871682e-06,
                1.670141587141357e-05,
                2.1444956081636468e-05
            ],
            [
                1.300713466685723e-05,
                1.99472900813862e-06,
                1.473898899908247e-05,
                1.5534984953199313e-06,
                7.88926634755014e-06,
                4.450851580555361e-07,
                2.9023109472244114e-06,
                1.5534975693869924e-06,
                1.2098661161982042e-06,
                3.726641061027928e-06
            ],
            [
                0.9999996533672136,
                0.9999898700126431,
                0.9999974387168733,
                0.9999989322970027,
                0.9999977396757022,
                0.9999996940978461,
                0.999998446502801,
                0.9999987901343166,
                0.9999991684720715,
                0.9999974387187053
            ],
            [
                3.288749457432399e-06,
                2.2603245673279107e-06,
                1.5534983101393749e-06,
                2.5612834320214477e-06,
                6.144173869502757e-06,
                8.939699501132077e-06,
                1.9947306726358406e-06,
                6.962257079775324e-06,
                4.4508494582314646e-07,
                1.553497384196656e-06
            ],
            [
                8.93969310662177e-06,
                7.889265407090955e-06,
                4.222833444467892e-06,
                3.7266392840781026e-06,
                1.0677029973158649e-06,
                1.7603438428460541e-06,
                9.42244256915735e-07,
                2.5612831266946347e-06,
                2.561282210729555e-06,
                3.726641061058432e-06
            ],
            [
                1.0677032518700286e-06,
                1.9947304348703948e-06,
                1.553497754583709e-06,
                7.338212429562581e-07,
                1.209865539295696e-06,
                2.382369667929001e-07,
                4.450852641717689e-07,
                1.55349775456958e-06,
                3.9278638756099906e-07,
                1.209865827740176e-06
            ],
            [
                0.9999967112501504,
                0.9999996940976636,
                0.9999994956525318,
                0.9999998144608983,
                0.9999930377420903,
                0.999998005269803,
                0.9999989322967481,
                0.9999991684719723,
                0.9999977396757022,
                0.9999984465024306
            ],
            [
                0.9999991684720715,
                0.9999996533672135,
                0.9999990577552939,
                0.9999991684720715,
                0.9999996072138934,
                0.9999977396765105,
                0.9999986290427931,
                0.9999993524048929,
                0.9999980052695652,
                0.9999987901337396
            ],
            [
                0.9999989322975118,
                0.9999996072138465,
                0.9999991684722698,
                0.9999995549147889,
                0.99999893229713,
                0.9999994956524115,
                0.9999998555019963,
                0.9999999006880785,
                0.9999990577554061,
                0.9999987901344607
            ],
            [
                0.9999990577555183,
                0.9999994284993485,
                0.9999994284993486,
                0.9999989322966208,
                0.9999986290427931,
                0.9999994284997573,
                0.9999980052705163,
                0.9999982396567867,
                0.9999996072137061,
                0.9999987901341723
            ],
            [
                0.9999993524054335,
                0.9999994956524114,
                0.9999993524053562,
                0.999999814460854,
                0.9999992661787571,
                0.999999352404893,
                0.9999994956525317,
                0.9999994956527121,
                0.9999994284996891,
                0.999999057755069
            ],
            [
                0.9999997300422547,
                0.9999974387187053,
                0.9999991684715758,
                0.9999994284995529,
                0.9999997897566338,
                0.9999996533675028,
                0.9999992661786695,
                0.9999987901347491,
                0.9999996940977002,
                0.9999980052702785
            ],
            [
                0.9999910603058276,
                0.9999339478631961,
                0.9999485577986083,
                0.9998204719910657,
                0.9997388097532681,
                0.9999898700053974,
                0.9999417087066769,
                0.9999810748472484,
                0.9999852610180284,
                0.9999885212291378
            ],
            [
                1.1478765389065974e-05,
                2.5612834320214477e-06,
                9.422450431954847e-07,
                7.889262585541864e-06,
                6.144172404587612e-06,
                1.147877359926923e-05,
                5.4222183234485234e-06,
                2.1444943296369872e-05,
                4.785092783454444e-06,
                1.7603434231705793e-06
            ],
            [
                0.9999970976887068,
                0.9999994284995529,
                0.9999910603015644,
                0.9999982396574162,
                0.9999998144609203,
                0.9999996940976636,
                0.9999996072137529,
                0.99999862904312,
                0.9999992661790195,
                0.9999996533672549
            ],
            [
                0.999999554914789,
                0.999999057755069,
                0.9999990577552939,
                0.9999987901343165,
                0.9999989322966208,
                0.9999994956524716,
                0.9999980052707541,
                0.9999974387177893,
                0.9999980052698029,
                0.9999995549147889
            ],
            [
                2.9023119851635836e-06,
                3.726639284103523e-06,
                8.315277302788957e-07,
                2.5612825160271407e-06,
                1.5534984953453635e-06,
                3.927860597935108e-07,
                5.715007195410849e-07,
                6.475947982002148e-07,
                5.715002426475718e-07,
                1.760343213322473e-06
            ],
            [
                1.3709572068422585e-06,
                1.6701427817730953e-05,
                6.475947982022763e-07,
                1.2098656835136636e-06,
                2.2603248367358324e-06,
                1.47389854857293e-05,
                1.47389854857293e-05,
                4.785092783454444e-06,
                1.3709570434122812e-06,
                4.785096776394765e-06
            ],
            [
                2.561283432035425e-06,
                4.222834954753043e-06,
                3.927862939136532e-07,
                4.78509392429544e-06,
                6.475946438022905e-07,
                1.9947304348703948e-06,
                5.043474081993875e-07,
                1.99472924590571e-06,
                1.3709573702778664e-06,
                1.2098652508287273e-06
            ],
            [
                6.962255419868303e-06,
                1.067703379154416e-06,
                1.0677027427569065e-06,
                1.5534981249397663e-06,
                6.144176066795103e-06,
                5.715002426460124e-07,
                3.288750633488963e-06,
                2.260325375664839e-06,
                2.9023133690425823e-06,
                8.315277302819205e-07
            ],
            [
                0.9999989322966208,
                0.9999977396754327,
                0.9999994956523514,
                0.9999977396765105,
                0.9999980052709918,
                0.9999995549149481,
                0.999999266179107,
                0.9999990577554061,
                0.9999994956526519,
                0.99999976176309
            ],
            [
                4.78509392429544e-06,
                6.144173869446876e-06,
                1.9947304348595095e-06,
                2.5612825160562587e-06,
                3.2887506335906595e-06,
                2.90231233114251e-06,
                7.889259764273619e-06,
                8.31527928532683e-07,
                1.9947299592824403e-06,
                1.370957860567974e-06
            ],
            [
                0.999997097686977,
                0.9999995549147358,
                0.9999990577551815,
                0.9999992661792819,
                0.9999991684715758,
                0.9999997617631184,
                0.9999995549148419,
                0.9999996533674202,
                0.9999994284995529,
                0.9999989322973845
            ],
            [
                0.9999996940977366,
                0.9999982396559474,
                0.9999994284997573,
                0.9999996533672135,
                0.9999993524052018,
                0.9999994284997573,
                0.9999993524054334,
                0.9999994956523514,
                0.9999998144609645,
                0.9999989322968754
            ],
            [
                3.288748281295496e-06,
                1.3709573702722555e-06,
                1.0129995810076682e-05,
                1.670141786231398e-05,
                4.785092783415276e-06,
                1.3709573702722555e-06,
                1.994730672668496e-06,
                1.0677026154774503e-06,
                6.144173869379821e-06,
                6.96225873967641e-06
            ],
            [
                0.9999986290432834,
                0.9999970976880149,
                0.9999957771675623,
                0.9999989322970027,
                0.9999974387171787,
                0.9999974387171787,
                0.9999885212332426,
                0.9999984465022455,
                0.9999991684717741,
                0.9999987901337396
            ],
            [
                9.422445939002803e-07,
                2.9023116391675407e-06,
                1.9947304348595095e-06,
                5.422217030555087e-06,
                1.7603436330259153e-06,
                3.9278615344178325e-07,
                2.9023112931688987e-06,
                3.059021904580685e-07,
                2.2603234895176927e-06,
                1.7603438428800754e-06
            ],
            [
                0.999998629042303,
                0.999998005269803,
                0.9999995549148419,
                0.9999994956525317,
                0.999999352404893,
                0.9999993524054335,
                0.9999998555020135,
                0.9999996533674201,
                0.9999996940976636,
                0.9999970976880149
            ],
            [
                0.9999984465015047,
                0.9999910603047619,
                0.9999986290423029,
                0.9999987901337396,
                0.9999987901338838,
                0.9999952149043646,
                0.999997097686977,
                0.999998629042303,
                0.9999989322975118,
                0.9999980052693274
            ],
            [
                3.7266388398585725e-06,
                8.93969736955767e-06,
                1.3709578605455302e-06,
                3.2887502415243994e-06,
                0.9996200154715402,
                2.2603245673155757e-06,
                9.422447062240614e-07,
                8.939699500766203e-06,
                1.5534975693869924e-06,
                1.3709573702647743e-06
            ],
            [
                0.18242553047372242,
                0.5926665999540698,
                0.09534947004048376,
                0.9990889486556077,
                0.007577239716611335,
                0.6513548646660542,
                0.4073334000459302,
                0.9991959139583046,
                0.320821300824607,
                0.29421497216298875
            ],
            [
                0.9999869928730862,
                0.9999646437324458,
                0.9999974387168733,
                0.9999970976876689,
                0.9999832985801479,
                0.9999885212359798,
                0.5621765008857982,
                0.9996200154704458,
                0.9999151889586319,
                0.9999485578047429
            ],
            [
                0.9999962733607161,
                0.9999994956527721,
                0.9999996072137061,
                0.9999998144609203,
                0.9999993524053562,
                0.9999998555019274,
                0.9999997300422869,
                0.9999980052705163,
                0.9999997617631469,
                0.9999993524050474
            ],
            [
                4.450848927621807e-07,
                1.4449800373065699e-07,
                9.422449308673789e-07,
                1.5534975693869924e-06,
                6.1441724046434924e-06,
                6.962254589851619e-06,
                1.2098655392921197e-06,
                4.222834954687752e-06,
                1.5534971990126997e-06,
                3.288749849477628e-06
            ],
            [
                0.9999996940976636,
                0.9999998144609645,
                0.9999967112505427,
                0.9999986290424664,
                0.9999995549147358,
                0.9999986290424663,
                0.9999995549150541,
                0.9999987901344607,
                0.9999994284995529,
                0.9999986290421394
            ],
            [
                0.9999992661789321,
                0.9999989322966208,
                0.9999984465024306,
                0.9999991684718732,
                0.9999998362623528,
                0.9999984465022455,
                0.9999957771665557,
                0.9999996072136125,
                0.9999997300421581,
                0.9999974387171787
            ],
            [
                0.9999930377420906,
                0.9999997617631752,
                0.9999994956524115,
                0.9999980052707541,
                0.9999994284992805,
                0.999999266178932,
                0.9999994284996211,
                0.9999994284992805,
                0.9999996533672962,
                0.9999986290426298
            ],
            [
                6.475949526003845e-07,
                1.7603436330179102e-06,
                1.3709568799879344e-06,
                1.760343213322473e-06,
                2.9023112931873767e-06,
                2.9023126771227976e-06,
                6.962254589705982e-06,
                6.475949526003845e-07,
                1.9947304348595095e-06,
                5.715005151574337e-07
            ],
            [
                1.0129993395088066e-05,
                6.475947209985977e-07,
                7.338212429537553e-07,
                4.785094494716039e-06,
                1.3709567165461505e-06,
                9.422449308716635e-07,
                1.7603438428460541e-06,
                1.1478765388898939e-05,
                6.1441724044534996e-06,
                3.120190393487965e-05
            ],
            [
                2.902312331125353e-06,
                1.5534975693933505e-06,
                1.5534984953298217e-06,
                1.553497754583709e-06,
                0.9999910603036963,
                2.2603242978778778e-06,
                5.422218969720291e-06,
                3.2887490653647836e-06,
                2.5612825160562587e-06,
                1.5534979397740895e-06
            ],
            [
                0.9999995549150541,
                0.99999893229713,
                0.9999986290429566,
                0.9999991684721705,
                0.9999974387184,
                0.9999996533672549,
                0.9999995549150542,
                0.9999898700078133,
                0.9999977396751634,
                0.9999996072136592
            ],
            [
                0.060086648280493996,
                0.060086645335028464,
                0.06008664659737081,
                0.9998601778935703,
                0.26894142136999516,
                0.14804720179063333,
                0.11920293297380237,
                0.11920290950590741,
                0.010986944330747437,
                0.2689414272294874
            ],
            [
                4.785093924330255e-06,
                1.5534971990126997e-06,
                1.0677024881887838e-06,
                9.422449308748773e-07,
                7.338208930443633e-07,
                1.0677024881980089e-06,
                1.5534984953510149e-06,
                6.475945666033422e-07,
                1.3709568799679844e-06,
                1.760343003481596e-06
            ],
            [
                2.9023112931688987e-06,
                5.715002426475718e-07,
                1.3709570434122812e-06,
                1.5534971990126997e-06,
                5.04347528446051e-07,
                1.7603427936183298e-06,
                1.2098658277489788e-06,
                4.2228324377164004e-06,
                1.0677031245990084e-06,
                7.338209805200689e-07
            ],
            [
                0.9999994284994849,
                0.9999810748562736,
                0.9999974387184,
                0.999997097686977,
                0.9999970976873229,
                0.999999168471675,
                0.9999945777784448,
                0.9999995549149481,
                0.9999987901344607,
                0.9999997897567341
            ],
            [
                0.9999995549147889,
                0.9999997897566338,
                0.999999554914895,
                0.999999554914895,
                0.9999977396765105,
                0.9999993524050474,
                0.9999994284993486,
                0.9999994956527722,
                0.9999998555019618,
                0.9999996940977002
            ],
            [
                0.9999990577550691,
                0.9999930377412605,
                0.9999957771670589,
                0.9999987901337396,
                0.9999974387168734,
                0.9999997897565838,
                0.9999987901343165,
                0.9999996072136125,
                0.9999977396754327,
                0.9999996072137998
            ],
            [
                5.42222090882208e-06,
                1.760343213322473e-06,
                7.889263526093993e-06,
                1.067702615468225e-06,
                3.288748673295719e-06,
                1.9947299592824403e-06,
                6.962259569484628e-06,
                1.6701427816728442e-05,
                2.9023123311055552e-06,
                5.4222202624563834e-06
            ],
            [
                0.9999994956523514,
                0.9999980052693275,
                0.9999885212264011,
                0.9999989322973846,
                0.9999991684721706,
                0.9999989322967481,
                0.9999952149043644,
                0.9999952149043646,
                0.9999962733616045,
                0.9999987901346049
            ],
            [
                9.422448185435711e-07,
                1.760343423160973e-06,
                6.475947981975644e-07,
                8.315282259117513e-07,
                4.785094494750855e-06,
                1.2098653950551882e-06,
                3.726637951367137e-06,
                6.144176799283803e-06,
                1.7603440527222532e-06,
                8.939698435454571e-06
            ],
            [
                0.9999996533675028,
                0.999999730042126,
                0.99999862904312,
                0.9999994956523512,
                0.9999998144608983,
                0.9999995549147359,
                0.9999987901341723,
                0.9999990577556307,
                0.9999991684717741,
                0.9999997617630048
            ],
            [
                0.9999869928684346,
                0.9999339478238315,
                0.9999756997534747,
                0.9999417087344652,
                0.9999930377445801,
                0.9999910603068932,
                0.9999832985721839,
                0.9999885212346113,
                0.9999599363173769,
                0.9999869928668841
            ],
            [
                7.338209805170655e-07,
                6.1441724046434924e-06,
                4.2228349547223175e-06,
                2.5612828213690224e-06,
                6.14417753171671e-06,
                1.0677028700363782e-06,
                2.9023133690637e-06,
                2.5612812947380135e-06,
                5.422218323399208e-06,
                7.338207180838067e-07
            ],
            [
                5.715006514151423e-07,
                6.144173869379821e-06,
                2.561281600076256e-06,
                4.785094494716039e-06,
                1.3709575336860625e-06,
                4.2228349547223175e-06,
                1.3709572068354007e-06,
                1.0129995810076682e-05,
                1.5534983101478522e-06,
                2.2603251062270446e-06
            ],
            [
                0.9999992661790196,
                0.9999957771665555,
                0.9999998555019274,
                0.9999993524051246,
                0.9999996533674201,
                0.9999997300421581,
                0.9999997300422868,
                0.9999986290426297,
                0.999999730042126,
                0.9999984465016898
            ],
            [
                0.9999995549147358,
                0.9999977396759716,
                0.9999991684719723,
                0.9999930377454103,
                0.999989870005398,
                0.999999352405279,
                0.9999921107383549,
                0.9999990577550691,
                0.9999687980960773,
                0.9999970976876689
            ],
            [
                0.9999996940978095,
                0.9999989322972572,
                0.9999991684717742,
                0.9999957771670589,
                0.9999984465018751,
                0.9999987901344607,
                0.9999990577556307,
                0.9999996533672962,
                0.9999989322970027,
                0.9999990577551814
            ],
            [
                1.3709573702778664e-06,
                3.7266388398585725e-06,
                7.3382080556433e-07,
                5.422219616184461e-06,
                2.2603251062147097e-06,
                2.2603248367656408e-06,
                4.22283545808297e-06,
                2.5612825160562587e-06,
                3.288748673360027e-06,
                1.670142781636389e-05
            ],
            [
                0.9999996533674202,
                0.9999984465015047,
                0.9999993524054334,
                0.9999996072136592,
                0.9999987901341723,
                0.9999984465026158,
                0.9999998555019619,
                0.9999974387180947,
                0.9999967112509346,
                0.9999987901347492
            ],
            [
                1.76034300345598e-06,
                8.939695238333382e-06,
                3.05902226922147e-07,
                5.422219616184461e-06,
                7.338212429582604e-07,
                4.785093353787868e-06,
                1.5534983101478522e-06,
                7.338209805200689e-07,
                8.315280276546789e-07,
                5.04347468323289e-07
            ],
            [
                1.2098662604247682e-06,
                5.4222215552470286e-06,
                2.9023112931688987e-06,
                4.2228334445658276e-06,
                1.8925155007633607e-05,
                4.222832437677995e-06,
                1.7603434231705793e-06,
                3.288750633518874e-06,
                1.2098658277451275e-06,
                1.0677027427525368e-06
            ],
            [
                0.7310585727705127,
                0.9999417087205692,
                0.9998911030907222,
                0.9999938558239333,
                0.9999885212359795,
                0.9999869928746454,
                0.99995993630782,
                0.9999869928746374,
                0.9999957771680656,
                0.9999869928746369
            ],
            [
                0.9999977396759716,
                0.9999996072137529,
                0.9999997897566338,
                0.9999993524050474,
                0.9999989322967481,
                0.999999789756684,
                0.9999993524049702,
                0.9999996533672549,
                0.9999994956527722,
                0.999999266178757
            ],
            [
                1.3709567165579959e-06,
                4.450851580566494e-07,
                7.338209805170655e-07,
                1.7603425837606927e-06,
                5.043474081993875e-07,
                5.715002426460124e-07,
                1.9947306726358406e-06,
                8.315284241597959e-07,
                2.5612822107167428e-06,
                9.422442569290178e-07
            ],
            [
                3.2887486733420804e-06,
                1.892515049571424e-05,
                1.3709568799823232e-06,
                1.3709575337016483e-06,
                6.144175334094145e-06,
                1.9947301970451086e-06,
                1.7603427936183298e-06,
                1.2098659719661556e-06,
                1.7603432133136672e-06,
                6.144176066850984e-06
            ],
            [
                2.9023133690821773e-06,
                5.422217677078203e-06,
                1.9947297215125433e-06,
                1.0677027427569065e-06,
                4.222834954687752e-06,
                2.260325375677174e-06,
                1.1478772230762415e-05,
                1.7603427936183298e-06,
                1.760343842833246e-06,
                3.726639284103523e-06
            ],
            [
                0.99999976176309,
                0.9999992661787571,
                0.9999957771645419,
                0.9999994956524114,
                0.9999996940977731,
                0.9999986290421394,
                0.9999982396574163,
                0.9999989322970027,
                0.9999992661786696,
                0.9999997897566089
            ],
            [
                5.715003789033962e-07,
                2.3823685319244518e-07,
                1.067702615468225e-06,
                3.2887478892504536e-06,
                1.0677033791583005e-06,
                1.3709567165461505e-06,
                1.3709567165579959e-06,
                3.288748673360027e-06,
                5.71500515159253e-07,
                9.422449308748773e-07
            ],
            [
                6.475951069961737e-07,
                1.9947299592933255e-06,
                3.927862470861484e-07,
                7.338208055664991e-07,
                0.9999994284993486,
                3.288750633545794e-06,
                6.475948754012522e-07,
                3.466327037539638e-07,
                9.422448185388577e-07,
                6.475951069985296e-07
            ],
            [
                0.999998446502801,
                0.9999952149066462,
                0.9999997300421903,
                0.9999984465026158,
                0.9999986290423029,
                0.9999962733602717,
                0.9999987901344607,
                0.9999980052709919,
                0.9999982396567868,
                0.9999989322975118
            ],
            [
                1.5534983101602148e-06,
                1.0677029973158649e-06,
                6.475945666009864e-07,
                1.0677028700266676e-06,
                7.889264466725156e-06,
                1.4738980214843206e-05,
                1.0129992187253088e-05,
                5.422219616085833e-06,
                4.222835458148261e-06,
                8.315284241560147e-07
            ],
            [
                1.9947306726594253e-06,
                2.2603234895053587e-06,
                2.3823685319244518e-07,
                9.422444815765128e-07,
                1.7603425837606927e-06,
                2.9023112931873767e-06,
                1.5534983101549167e-06,
                1.2098652508347793e-06,
                2.902312331125353e-06,
                5.715002426475718e-07
            ],
            [
                0.9999990577554061,
                0.9999987901338838,
                0.9999996940977731,
                0.9999986290426297,
                0.9999997897565587,
                0.9999984465020603,
                0.9999993524049703,
                0.9999957771645419,
                0.9999982396569965,
                0.9999996072136592
            ],
            [
                0.9999970976866309,
                0.9999977396746244,
                0.9999993524052789,
                0.9999994284996893,
                0.9999991684718732,
                0.9999996072138465,
                0.9999957771680656,
                0.9999945777810304,
                0.9999869928761873,
                0.9999957771675624
            ],
            [
                1.0677028700266676e-06,
                6.475948753965404e-07,
                3.927861066170637e-07,
                9.422444815726566e-07,
                1.3709572068272963e-06,
                8.315283250394546e-07,
                2.260324836776948e-06,
                1.5534984953453635e-06,
                6.475947210012481e-07,
                1.9947299592933255e-06
            ],
            [
                0.999998005269803,
                0.9999952149037943,
                0.9999990577549569,
                0.9999957771665556,
                0.9999898700090203,
                0.9999869928761876,
                0.9999945777784448,
                0.9999938558224685,
                0.9999982396561571,
                0.9999986290421394
            ],
            [
                0.9999997617631184,
                0.9999996072136592,
                0.999999057755069,
                0.999999730042319,
                0.999999730042126,
                0.9999996072137061,
                0.9999996072136125,
                0.9999996940977002,
                0.9999991684716749,
                0.9999996940977002
            ],
            [
                0.9999930377454103,
                0.9999989322973845,
                0.9999990577549569,
                0.9999977396748938,
                0.9999989322968754,
                0.9999997300422225,
                0.999999352405279,
                0.9999996940977366,
                0.9999987901346049,
                0.9999982396559473
            ],
            [
                1.2098655392811161e-06,
                2.561283432035425e-06,
                7.338208930443633e-07,
                2.561281600076256e-06,
                7.338208930443633e-07,
                6.144176799099397e-06,
                1.3709575337078829e-06,
                8.939695238439078e-06,
                2.2603234895053587e-06,
                1.7603438428740716e-06
            ],
            [
                6.475947209953583e-07,
                5.043476486902204e-07,
                8.3152792852928e-07,
                1.994730434879465e-06,
                4.450852641717689e-07,
                2.260324297853209e-06,
                5.04347348075149e-07,
                5.715002426460124e-07,
                1.3709573702722555e-06,
                5.715002426475718e-07
            ],
            [
                0.9999992661792819,
                0.9999993524051246,
                0.99999976176309,
                0.9999996072138465,
                0.9999996072137529,
                0.9999994956525318,
                0.999998005269803,
                0.9999997897566338,
                0.9999994956523514,
                0.9999996072139402
            ],
            [
                5.715003789033962e-07,
                6.962259569630266e-06,
                3.9278610661822475e-07,
                1.067702870039777e-06,
                2.90231233114251e-06,
                5.422219616026655e-06,
                5.715006514151423e-07,
                1.99472900813862e-06,
                4.2228334445370225e-06,
                1.0129993395217047e-05
            ],
            [
                0.9999991684716749,
                0.9999990577554061,
                0.9999996072138465,
                0.9999989322973846,
                0.9999996940977002,
                0.999997097686977,
                0.9999977396762411,
                0.9999992661792819,
                0.9999993524050473,
                0.9999994956523514
            ],
            [
                0.9999994284996211,
                0.9999957771675626,
                0.999999352405279,
                0.9999984465022455,
                0.9999997897566089,
                0.9999994284996891,
                0.9999980052702785,
                0.9999994956524114,
                0.9999986290432835,
                0.9999996940978825
            ],
            [
                4.450849988811838e-07,
                6.144175334367959e-06,
                1.3709567165530083e-06,
                1.7603436330259153e-06,
                3.927862470899887e-07,
                1.7603440527286572e-06,
                8.315278294097538e-07,
                1.5534973841895917e-06,
                4.22283394786293e-06,
                1.0677033791612137e-06
            ],
            [
                0.9999996072138466,
                0.9999994284995529,
                0.9999996533672549,
                0.9999997300421903,
                0.9999991684720715,
                0.9999996533672136,
                0.9999997617631752,
                0.9999989322968754,
                0.9999992661791944,
                0.999997097687323
            ],
            [
                1.8925145980181433e-05,
                5.04347408197782e-07,
                2.2603234894745224e-06,
                1.3007134665674251e-05,
                3.7266397282926013e-06,
                4.222835458044565e-06,
                4.22283545808297e-06,
                4.222834451327159e-06,
                1.3709572068422585e-06,
                6.144175334367959e-06
            ],
            [
                6.475949526003845e-07,
                6.475945666051092e-07,
                7.338207180661203e-07,
                6.475950298011458e-07,
                4.785095635592258e-06,
                2.902310947208574e-06,
                7.338213304316717e-07,
                2.9023123311055552e-06,
                1.994730672668496e-06,
                1.9947299593014888e-06
            ],
            [
                1.0677029973056687e-06,
                0.9999785550567005,
                4.785093924330255e-06,
                2.561281600049467e-06,
                6.144177531660828e-06,
                1.9947301970813926e-06,
                5.422217677078203e-06,
                6.475947209985977e-07,
                1.5534979397740895e-06,
                2.3823685319244518e-07
            ],
            [
                0.9999970976890528,
                0.9999938558253981,
                0.9999970976869769,
                0.9999921107392955,
                0.9999994956525318,
                0.9999869928699853,
                0.9999989322967481,
                0.9999957771655487,
                0.9999994284993485,
                0.9999970976890528
            ],
            [
                8.315283250371857e-07,
                1.7603436330259153e-06,
                8.939699500489763e-06,
                6.1441760667392215e-06,
                1.8925150495232307e-05,
                5.422217030707961e-06,
                1.3709578605455302e-06,
                1.300712536350655e-05,
                2.561281600049467e-06,
                2.2603251062147097e-06
            ],
            [
                0.9999724643023361,
                0.9999962733589389,
                0.9999957771645419,
                0.9999417087553242,
                0.9999995549150011,
                0.999999554914842,
                0.9999962733607158,
                0.9999982396561571,
                0.9999967112509347,
                0.9999980052707541
            ],
            [
                9.422447062240614e-07,
                7.338209805200689e-07,
                1.2098658277489788e-06,
                2.561281905390075e-06,
                3.0590215399183813e-07,
                1.99472924590571e-06,
                3.726641061085547e-06,
                6.475950297942253e-07,
                2.260325375677174e-06,
                1.5534983101549167e-06
            ],
            [
                0.999998446502801,
                0.9999994284996893,
                0.9999986290429566,
                0.9999970976890528,
                0.9999991684718732,
                0.9999990577549569,
                0.999998629042303,
                0.999999730042319,
                0.9999986290426298,
                0.9999977396746244
            ],
            [
                0.999999428499553,
                0.9999977396748938,
                0.999997438716568,
                0.9999994956527722,
                0.9999982396561572,
                0.999999554914895,
                0.9999997617630332,
                0.9999992661788445,
                0.9999990577551814,
                0.9999989322972572
            ],
            [
                0.9999974387187053,
                0.9999986290429567,
                0.9999970976887068,
                0.9999977396754327,
                0.9999993524052018,
                0.9999967112521106,
                0.9999987901347491,
                0.9999989322967481,
                0.9999991684721705,
                0.9999997300421903
            ],
            [
                0.9999987901338838,
                0.9999998144609644,
                0.9999984465015047,
                0.9999967112513266,
                0.9999997897566589,
                0.9999992661792819,
                0.99999893229713,
                0.9999967112505429,
                0.9999991684721706,
                0.9999980052705163
            ],
            [
                0.9999995549150011,
                0.9999996533673788,
                0.9999997617631184,
                0.99999976176309,
                0.9999994284994849,
                0.9999996533674201,
                0.999999428499553,
                0.9999989322971299,
                0.9999991684719723,
                0.9999996072137061
            ],
            [
                0.9999989322967481,
                0.999997438717484,
                0.999999266179107,
                0.9999992661786696,
                0.9999993524050474,
                0.9999986290426297,
                0.9999994956527721,
                0.9999996940976272,
                0.9999991684722698,
                0.9999990577550691
            ],
            [
                0.9999996072138934,
                0.999999266179107,
                0.9999994956524716,
                0.9999993524052789,
                0.9999996072139402,
                0.9999998362623528,
                0.9999982396561572,
                0.9999996533672962,
                0.9999987901346049,
                0.9999967112501505
            ],
            [
                0.9999989322970027,
                0.9999995549148419,
                0.9999996940978825,
                0.9999993524052789,
                0.9999986290424664,
                0.9999996533672549,
                0.9999997897567091,
                0.9999987901344607,
                0.9999974387171787,
                0.9999994284996893
            ],
            [
                0.9999996940978825,
                0.999998790134028,
                0.9999997897566338,
                0.9999997897567341,
                0.99999862904312,
                0.9999999006880668,
                0.9999996940977731,
                0.9999996940976636,
                0.9999997300422869,
                0.9999997897567091
            ],
            [
                2.260325375664839e-06,
                3.288750241561788e-06,
                2.5612812947380135e-06,
                1.0677024881980089e-06,
                3.726641061109272e-06,
                1.0677033791495609e-06,
                3.2887486733420804e-06,
                2.561281905390075e-06,
                0.9971990728852574,
                1.0677029973114952e-06
            ],
            [
                1.9947299592933255e-06,
                9.422442569290178e-07,
                1.0677027427525368e-06,
                8.315277302819205e-07,
                8.31528424162821e-07,
                4.222834451327159e-06,
                4.785092783415276e-06,
                4.785096205882502e-06,
                7.889260704732132e-06,
                3.726640616748873e-06
            ],
            [
                9.422448185478557e-07,
                5.715007195353674e-07,
                6.475945666033422e-07,
                2.902310947208574e-06,
                1.0677024881761599e-06,
                9.422447062094932e-07,
                6.475950297993789e-07,
                3.9278638756099906e-07,
                3.288749849477628e-06,
                9.422447062270609e-07
            ],
            [
                4.4508510499737865e-07,
                3.726639284017094e-06,
                4.2228334445370225e-06,
                3.466327450756327e-07,
                3.7266406168403854e-06,
                8.93969630388855e-06,
                9.422450431989127e-07,
                6.475946438042047e-07,
                4.4508510497875774e-07,
                7.338208930421943e-07
            ],
            [
                0.9999996940977366,
                0.9999996940977731,
                0.9999997617630048,
                0.9999997617629764,
                0.9999996533673788,
                0.9999998724809419,
                0.9999996940976636,
                0.9999998362623332,
                0.9999997897565587,
                0.9999997897567091
            ],
            [
                1.3709567165579959e-06,
                2.90231233114251e-06,
                1.5534984953453635e-06,
                3.288750633545794e-06,
                5.422218323399208e-06,
                1.994730434879465e-06,
                7.338212429537553e-07,
                2.9023119851266288e-06,
                8.939698435454571e-06,
                1.3709578605617394e-06
            ],
            [
                6.144174601879434e-06,
                3.2887490653647836e-06,
                9.422449308716635e-07,
                3.72664061681327e-06,
                4.785094494716039e-06,
                2.561283126679493e-06,
                1.5534971989907999e-06,
                4.785093924251918e-06,
                6.144172404693786e-06,
                2.902312677104321e-06
            ],
            [
                0.9999832985741748,
                0.9999724643187476,
                0.9999646437619372,
                0.9999974387177893,
                0.9999756997592735,
                0.9999869928761874,
                0.9999785550413627,
                0.9999546021313694,
                0.9999869928746372,
                0.999999653367379
            ],
            [
                0.9999984465020603,
                0.9999987901343165,
                0.9999994284996893,
                0.9999962733602716,
                0.9999982396563669,
                0.9999986290429566,
                0.999999168471675,
                0.9999977396746244,
                0.999999814460854,
                0.9999938558224687
            ],
            [
                1.2098661161982042e-06,
                1.9947306726594253e-06,
                2.5612834320214477e-06,
                5.04347348075149e-07,
                7.338210679909462e-07,
                8.315277302819205e-07,
                5.043474081993875e-07,
                9.422447062202052e-07,
                2.9023109471689794e-06,
                1.5534983101301911e-06
            ],
            [
                0.9999991684716749,
                0.9999980052709918,
                0.9999994956525918,
                0.9999997300421581,
                0.9999990577555185,
                0.9999996072136125,
                0.9999990577552937,
                0.9999938558261308,
                0.9999997897565838,
                0.9999977396765105
            ],
            [
                5.715005832872586e-07,
                2.2603242978665707e-06,
                3.2887478892504536e-06,
                1.0677031245953668e-06,
                1.3709567165579959e-06,
                2.5612822107167428e-06,
                2.5612812947380135e-06,
                5.043475284447896e-07,
                2.9023109472244114e-06,
                1.3709570434054234e-06
            ],
            [
                7.889261644631091e-06,
                3.2887478892504536e-06,
                8.315283250343497e-07,
                3.2887498494551953e-06,
                1.9947299592933255e-06,
                7.338213304343413e-07,
                1.9947292458603553e-06,
                3.2887478892055875e-06,
                6.962256249606473e-06,
                2.561282821352716e-06
            ],
            [
                0.9999991684718732,
                0.9999967112521109,
                0.9999995549147889,
                0.9999994956524114,
                0.9999993524052789,
                0.9999994284994849,
                0.9999993524049702,
                0.9999980052695652,
                0.9999995549149481,
                0.9999991684717741
            ],
            [
                0.999999554914895,
                0.9999962733620487,
                0.9999989322975118,
                0.999999266179107,
                0.9999987901347492,
                0.9999987901343165,
                0.9999993524049703,
                0.9999869928761903,
                0.9999984465015047,
                0.9999977396748938
            ],
            [
                0.9999990577550691,
                0.999997438717484,
                0.9999997897566338,
                0.9999997300422869,
                0.9999998144608097,
                0.9999980052705163,
                0.9999990577551814,
                0.9999996533672962,
                0.999999730042126,
                0.9999989322967481
            ],
            [
                1.2098661161982042e-06,
                1.6701423833831836e-05,
                1.7603438428564603e-06,
                5.422217676925328e-06,
                5.715004470313855e-07,
                1.067702870039777e-06,
                6.962257909722651e-06,
                4.22283394786293e-06,
                4.222831934248571e-06,
                3.7266397283231055e-06
            ],
            [
                0.9999995549147889,
                0.999999057755743,
                0.9999993524054334,
                0.9999995549147889,
                0.9999991684715759,
                0.9999990577555185,
                0.9999990577554061,
                0.9999989322971299,
                0.9999993524053562,
                0.999998446502801
            ],
            [
                1.5534971990126997e-06,
                3.0590233632400716e-07,
                6.144177531381426e-06,
                3.288749849477628e-06,
                8.93969736929749e-06,
                3.059021904580685e-07,
                2.9023133690188264e-06,
                2.561283432035425e-06,
                3.7266388398585725e-06,
                3.7266383955611403e-06
            ],
            [
                1.994729483705484e-06,
                2.5612812946890944e-06,
                1.760344052714248e-06,
                1.0129988564716393e-05,
                1.892514147143123e-05,
                9.422445939032799e-07,
                4.2228324377164004e-06,
                2.2603234895176927e-06,
                1.7603430034743913e-06,
                1.7603434231705793e-06
            ],
            [
                0.9999996072136592,
                0.999999266179107,
                0.9999977396759716,
                0.9999986290429566,
                0.9999982396574163,
                0.9999993524051246,
                0.9999996940978095,
                0.9999994284994167,
                0.9999996072137061,
                0.999997438716568
            ],
            [
                0.9999990577556307,
                0.9999962733593833,
                0.9999992661791944,
                0.999998005269803,
                0.9999992661786695,
                0.9999989322975118,
                0.9999970976890529,
                0.9999998144608538,
                0.9999994956524114,
                0.9999996533672962
            ],
            [
                0.9999982396567867,
                0.9999970976873229,
                0.9999977396759716,
                0.9999957771655487,
                0.9999945777816824,
                0.9999967112493665,
                0.999997438717484,
                0.9999977396765105,
                0.9999996533672136,
                0.9999977396765105
            ],
            [
                9.422445939002803e-07,
                9.422447062094932e-07,
                9.422447062240614e-07,
                6.475947209985977e-07,
                1.0677031245851707e-06,
                4.2228324377740105e-06,
                1.7603436329978976e-06,
                2.9023126771227976e-06,
                1.0677029972745947e-06,
                6.144172404587612e-06
            ],
            [
                4.785096776194573e-06,
                7.338207180864763e-07,
                7.338208930421943e-07,
                2.382370235922541e-07,
                1.7603425837791042e-06,
                9.422447062240614e-07,
                5.043472278299047e-07,
                2.9023126771227976e-06,
                2.902312677137316e-06,
                4.4508510499849186e-07
            ]
        ]
    },
    {
        "q_id": "10578_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            26,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            125,
            126,
            127,
            10,
            22,
            27,
            63,
            124
        ],
        "rewards": [
            [
                0.003172683505940334,
                4.222834451292594e-06,
                8.93969417214416e-06,
                1.147876402018431e-05,
                1.6701415866188347e-05,
                0.9998766053957163,
                0.9740426400236379,
                1.0129990979215566e-05,
                2.7535704217219437e-05,
                1.0129989771823107e-05
            ],
            [
                0.9999885212291378,
                0.9999957771655487,
                0.9999921107364741,
                0.9999485577802159,
                0.9999980052693274,
                0.9999945777816767,
                0.9999982396569965,
                0.9999810748585282,
                0.9998911031167164,
                0.9999982396567867
            ],
            [
                6.144173136885882e-06,
                1.7603438428740716e-06,
                1.067702870039777e-06,
                2.5612825160562587e-06,
                1.6701419849447602e-05,
                8.939695237504067e-06,
                1.0677031245905116e-06,
                5.144219518243253e-05,
                7.338209805200689e-07,
                8.939695237504067e-06
            ],
            [
                5.144223198722914e-05,
                4.006368738143655e-05,
                1.4738976699106073e-05,
                1.6701415868649062e-05,
                3.1201922525618933e-05,
                7.889263526093993e-06,
                0.9940889311629103,
                6.962256249682458e-06,
                0.00013982203985419688,
                0.00013982212238755054
            ],
            [
                1.0677032518700286e-06,
                4.2228344508893285e-06,
                1.5534971989809095e-06,
                2.902312677084523e-06,
                6.962254587951994e-06,
                0.998073264899232,
                4.785096205830278e-06,
                1.5534979397592542e-06,
                1.7603434230921292e-06,
                0.9975273769157244
            ],
            [
                5.82912932832059e-05,
                2.1444953520884646e-05,
                0.00012339454513936787,
                0.9998766054399156,
                3.1201907645920996e-05,
                3.535623806128476e-05,
                1.1478769492141554e-05,
                6.1441775312976045e-06,
                1.89251527491092e-05,
                7.484622722255103e-05
            ],
            [
                2.4300252316291068e-05,
                4.222832941034507e-06,
                2.144494329566774e-05,
                1.4738978456398127e-05,
                3.120191135412508e-05,
                1.6701415867221242e-05,
                1.473898899908247e-05,
                5.144219522921654e-05,
                6.144175334172377e-06,
                2.144495863411905e-05
            ],
            [
                0.904650541527608,
                0.0001233946188587352,
                6.144172404028807e-06,
                8.481104127376647e-05,
                0.8807970811069351,
                0.0003353500138349026,
                0.00033534998574537327,
                5.144221974927673e-05,
                1.8925152739677025e-05,
                9.610241489119613e-05
            ],
            [
                6.475946438022905e-07,
                4.222832941034507e-06,
                2.2603248367358324e-06,
                6.475948753965404e-07,
                1.0677032518700286e-06,
                1.3709568799592562e-06,
                5.043472278255469e-07,
                7.338213304316717e-07,
                5.715003789017068e-07,
                1.0129994601872894e-05
            ],
            [
                2.753570422373059e-05,
                5.4222215552470286e-06,
                0.00017952798721029262,
                5.8291279378656556e-05,
                3.53562675293277e-05,
                4.006367783047594e-05,
                0.9999756997592735,
                3.1201922514835635e-05,
                0.20181322946142374,
                1.473897670007122e-05
            ],
            [
                0.999991060300499,
                0.9999974387168733,
                0.9999977396748938,
                0.9999952149037941,
                0.9999921107364742,
                0.9999930377420905,
                0.9982992772863526,
                0.9999970976866309,
                0.9999957771655488,
                0.9999967112521109
            ],
            [
                4.222833947428939e-06,
                2.2603234894745224e-06,
                1.3709573702722555e-06,
                1.4738976697631541e-05,
                9.422444815765128e-07,
                2.9023109472244114e-06,
                7.338208930421943e-07,
                1.892515049423401e-05,
                1.553497384180408e-06,
                1.0129988548731703e-05
            ],
            [
                0.9999832985801475,
                0.9999962733593831,
                0.9999898700114356,
                0.9998204720339182,
                0.9999756997505781,
                0.9999724643187544,
                0.9999898700078143,
                0.999992110738355,
                0.9999952149032236,
                0.9998204720980665
            ],
            [
                3.5356246471407274e-05,
                5.829127935617924e-05,
                1.012999218340202e-05,
                1.3007134665674251e-05,
                0.0002034270457128155,
                0.9902915251391893,
                0.9995694428706527,
                2.1444940742640888e-05,
                0.0008040861124059713,
                0.0007096702415801755
            ],
            [
                0.9999251537638956,
                0.9999989322968753,
                0.9999970976869769,
                0.9999982396572064,
                0.999941708734578,
                0.9999982396574162,
                0.9999980052700408,
                0.9999989322975118,
                0.9999991684718732,
                0.9999962733616045
            ],
            [
                1.670142781432848e-05,
                0.00013982208999184544,
                1.012998735687278e-05,
                8.481102100559352e-05,
                0.0002611903054543421,
                6.144176066672166e-06,
                3.120192624233791e-05,
                0.00023050668547308019,
                0.9840936053433593,
                0.9999885212291385
            ],
            [
                0.9999930377445804,
                0.9999967112501504,
                0.9999967112517187,
                0.9999898700053974,
                0.9999945777790911,
                0.9999957771665555,
                0.9999945777790913,
                0.9999957771655487,
                0.9999986290427931,
                0.9999982396572064
            ],
            [
                8.939697369671496e-06,
                0.998498818046192,
                0.9706877691426479,
                1.0129994602222992e-05,
                2.7535700934898458e-05,
                0.00010889694796391029,
                0.9149009497722477,
                1.4738980213341866e-05,
                4.006369693910372e-05,
                0.00012339461832549948
            ],
            [
                4.006367780569929e-05,
                0.0004878570435080834,
                7.484625388309796e-05,
                3.5356242258821454e-05,
                6.962258739454786e-06,
                2.7535691095550887e-05,
                5.1442195149496606e-05,
                0.9999910603015649,
                0.32082131381216084,
                0.7981867705385762
            ],
            [
                5.422217676575195e-06,
                1.994729483680993e-06,
                6.144172404520556e-06,
                1.300713466619476e-05,
                4.222835458044565e-06,
                6.9622587393661365e-06,
                1.3007126912826352e-05,
                2.753568781022632e-05,
                5.422220262037209e-06,
                3.726639728348526e-06
            ],
            [
                7.338208055664991e-07,
                4.450848927599543e-07,
                2.561281599776919e-06,
                5.42221767672807e-06,
                3.4663249714325014e-07,
                1.5534984953199313e-06,
                6.47594566597747e-07,
                7.889264465699106e-06,
                2.9023130229209922e-06,
                7.338208930421943e-07
            ],
            [
                0.9999970976880148,
                0.9999984465018751,
                0.9999980052700408,
                0.999996273360716,
                0.9999980052709918,
                0.9999991684719723,
                0.9999980052709918,
                0.9999977396762411,
                0.9999974387177893,
                0.9999991684720715
            ],
            [
                2.7535704201392335e-05,
                1.1478772229989872e-05,
                7.484623612410147e-05,
                1.3007125362323574e-05,
                2.430024650299895e-05,
                1.473898899846585e-05,
                4.539787945561647e-05,
                0.000379984434206581,
                6.605213671635022e-05,
                1.3007125361755747e-05
            ],
            [
                0.00017952790121781749,
                1.4738976699749503e-05,
                0.8175744739711883,
                0.9998415637081989,
                1.0129989771473008e-05,
                5.8291265499980624e-05,
                3.120190392534495e-05,
                4.5397879450662006e-05,
                1.8925145983348442e-05,
                1.8925154992246077e-05
            ],
            [
                0.9999992661791944,
                0.9999977396765105,
                0.9999599362934934,
                0.9999970976883609,
                0.9999945777816768,
                0.9999930377454107,
                0.9999885212305071,
                0.9999970976873229,
                0.9999945777790912,
                0.9999974387171787
            ],
            [
                1.473898197063434e-05,
                0.00010889696112941016,
                1.0129987355564522e-05,
                1.994729483680993e-06,
                0.9669140188702279,
                5.8291251550907405e-05,
                2.5612828213690224e-06,
                4.006369217003476e-05,
                1.147876675686207e-05,
                4.5397879445707534e-05
            ],
            [
                0.9399133527714579,
                6.605216038829905e-05,
                4.222831934286977e-06,
                0.98201378585969,
                0.0035936027214806894,
                0.6791787121629466,
                0.0001795280073122999,
                0.8519528000888387,
                0.9149009486120849,
                1.0129993394811673e-05
            ],
            [
                0.9999038976079472,
                0.9984988180777761,
                0.9996200155160025,
                0.9998415638397211,
                0.9999546021151355,
                0.9998911030777808,
                0.9999151889182126,
                0.9998911030907222,
                0.9999339478789471,
                0.999860177892673
            ],
            [
                4.450851580555361e-07,
                1.8925143721072897e-05,
                0.9999339478710831,
                5.422220262555012e-06,
                6.144174601208867e-06,
                3.7266406167827664e-06,
                6.1441775312976045e-06,
                3.120190392137216e-05,
                6.144177531381426e-06,
                2.430023783150746e-05
            ],
            [
                0.9999687980997901,
                0.9999921107364742,
                0.9999785550413627,
                0.9999885212277704,
                0.9999957771660521,
                0.9999977396754327,
                0.9999977396748938,
                0.9999970976887068,
                0.9999417087414438,
                0.9999952149072167
            ],
            [
                0.9999921107345933,
                0.9999977396746244,
                0.9999852610127589,
                0.9999952149037942,
                0.9999785550464837,
                0.9999756997476807,
                0.9998911030908894,
                0.9999810748562726,
                0.9999957771665555,
                0.9998766053665213
            ],
            [
                4.785092783319532e-06,
                2.4300246520590875e-05,
                1.6701421840318107e-05,
                5.829126548725762e-05,
                0.9989677691659986,
                1.209866116170145e-06,
                1.0129993394811673e-05,
                4.785094494672519e-06,
                1.7603440527222532e-06,
                1.0129990979381404e-05
            ],
            [
                0.9999986290431201,
                0.9999974387177893,
                0.9999982396572065,
                0.9999991684716749,
                0.9999977396762411,
                0.999999352404893,
                0.9999992661788445,
                0.9996646499694032,
                0.9999974387177893,
                0.9999992661786696
            ],
            [
                2.3823696679040834e-07,
                9.4224425692559e-07,
                7.484624496248661e-05,
                3.2887494572514376e-06,
                8.315281267706361e-07,
                1.3709567165530083e-06,
                1.0677031245905116e-06,
                2.6995774527577444e-07,
                1.0677033791495609e-06,
                5.04347348075149e-07
            ],
            [
                2.430023493564795e-05,
                4.006371125884805e-05,
                1.4738987242432592e-05,
                0.9914225165108199,
                7.88926352599354e-06,
                0.004070138033011497,
                0.0007096703451902962,
                0.00013982210662912635,
                1.3007125361448172e-05,
                0.8807970858005139
            ],
            [
                0.0003799844317524153,
                0.982013793656837,
                0.0013250222691725392,
                0.00023050679657590553,
                9.610242625969935e-05,
                0.9997040429077904,
                1.8925150487521332e-05,
                3.1201918794144304e-05,
                0.9875683507818682,
                2.1444948410928083e-05
            ],
            [
                3.9278615344178325e-07,
                1.7603427936079236e-06,
                1.0677028700363782e-06,
                8.481106140311264e-05,
                2.902312677060767e-06,
                1.892515500663531e-05,
                1.2098653950551882e-06,
                9.422445939002803e-07,
                1.3709568799760888e-06,
                7.338209805224048e-07
            ],
            [
                5.829127939986156e-05,
                6.962257079173776e-06,
                3.7266406168403854e-06,
                4.539785778179383e-05,
                1.1478769492642663e-05,
                2.4300243626409964e-05,
                2.9023119851635836e-06,
                4.222832940834793e-06,
                4.222834451169694e-06,
                4.785096205930373e-06
            ],
            [
                1.1478772230407462e-05,
                0.9995121428822132,
                5.144220121644571e-05,
                1.0129990979547237e-05,
                0.00010889689597850211,
                0.9998204720340828,
                4.785093353187292e-06,
                4.2228334445658276e-06,
                1.4738983724575818e-05,
                1.4738976698757546e-05
            ],
            [
                0.9996646500097958,
                0.9999485577863536,
                0.998073265145936,
                0.9890130560234515,
                NaN,
                4.539787937205107e-05,
                0.9986749776906209,
                8.481106130809013e-05,
                0.9924227594534878,
                6.962256249606473e-06
            ],
            [
                1.0129992185060374e-05,
                0.00023050665948314234,
                4.785092783415276e-06,
                5.8291244643591885e-05,
                1.473898899846585e-05,
                0.0001795279441800938,
                2.7535697653779924e-05,
                0.000626334084584378,
                0.00026119037114575,
                1.6701425825492673e-05
            ],
            [
                1.760342583722268e-06,
                3.2887486732358968e-06,
                2.2603237589542675e-06,
                1.0677031245905116e-06,
                2.902311292960369e-06,
                6.475950297906914e-07,
                2.561282210618905e-06,
                1.0677033791495609e-06,
                1.7603430034439723e-06,
                1.5534984953199313e-06
            ],
            [
                2.430023783150746e-05,
                5.144220746828593e-05,
                5.144221356929526e-05,
                6.605212875249706e-05,
                1.8925141467059383e-05,
                1.8925143721761383e-05,
                8.939695238089467e-06,
                1.670142980380249e-05,
                4.5397890231261374e-05,
                2.4300237830711845e-05
            ],
            [
                0.9999646437535068,
                0.999992110740236,
                0.9999921107374145,
                0.999997097687669,
                0.9999938558253982,
                0.999997438716568,
                0.9999869928746372,
                0.9999945777790913,
                0.9999687980923515,
                0.9999952149072165
            ],
            [
                2.4300249412738893e-05,
                0.00017952792239334968,
                2.2603242978213447e-06,
                8.481103119027577e-05,
                2.1444945848226808e-05,
                2.753569107391384e-05,
                0.0005527787236541782,
                1.300712691308661e-05,
                8.939694172290508e-06,
                0.9953904272736549
            ],
            [
                1.3007133114886634e-05,
                8.481102091427321e-05,
                6.962255419570695e-06,
                0.0001398220401451152,
                0.00012339458929198511,
                4.0063687374440786e-05,
                5.1442219775101506e-05,
                0.0004878572259267104,
                2.4300232040584407e-05,
                4.006370650260296e-05
            ],
            [
                1.1478772229989872e-05,
                1.3007123810638006e-05,
                0.9940889322382703,
                3.5356267547205986e-05,
                6.605214460043122e-05,
                2.1444945856418342e-05,
                1.4738980210687712e-05,
                1.0129989771657269e-05,
                1.4738983727900215e-05,
                0.9998911031037133
            ],
            [
                2.260324028004393e-06,
                1.2098662603631479e-06,
                4.4508510499737865e-07,
                4.222834954211514e-06,
                9.422450431732037e-07,
                8.315281267800897e-07,
                1.0677028700203557e-06,
                1.994729721469003e-06,
                1.0677031245990084e-06,
                6.47594566594213e-07
            ],
            [
                4.222832941034507e-06,
                1.7603436330091044e-06,
                4.222833444467892e-06,
                1.4738987240824012e-05,
                6.9622595694023114e-06,
                0.9988304898615509,
                3.7266410609940346e-06,
                1.4738985484549675e-05,
                1.4738980208864656e-05,
                6.144173136729416e-06
            ],
            [
                6.962259569484628e-06,
                0.9579122692307689,
                1.670142781432848e-05,
                0.999664649850108,
                0.9902915253003602,
                0.0007096703349118413,
                1.1478773596283455e-05,
                3.5356246490314526e-05,
                2.7535681228559507e-05,
                0.9999810748540177
            ],
            [
                0.9820137924066618,
                0.9997965730510766,
                0.8807970842359877,
                2.4300243620398656e-05,
                0.0011695100336010917,
                4.006371122561817e-05,
                5.144223202241074e-05,
                9.610240326120474e-05,
                0.9999756997534794,
                0.7057850216484838
            ],
            [
                0.9997388095664763,
                6.1441767990323395e-06,
                0.9740426453452965,
                0.9991959142438132,
                0.991422516098986,
                0.9996646497708933,
                1.5534979397592542e-06,
                1.370956716529941e-06,
                0.0005527785080015299,
                0.9998601779262996
            ],
            [
                0.9999938558268633,
                0.9999970976890529,
                0.9999885212277699,
                0.9999885212346115,
                0.9999970976890529,
                0.9999852610162717,
                0.9998415637833363,
                0.9999910603015649,
                0.9999852610110012,
                0.9999898700114352
            ],
            [
                4.22283545808297e-06,
                2.144494840687132e-05,
                1.1478764008095073e-05,
                1.473897670007122e-05,
                2.2603240283888175e-06,
                3.2887490653408545e-06,
                1.3709567165386693e-06,
                7.338209805170655e-07,
                1.553498495295912e-06,
                2.5612831266946347e-06
            ],
            [
                0.9999986290426298,
                0.9999986290423029,
                0.9999974387180947,
                0.9999952149072167,
                0.9999993524051246,
                0.9999990577555183,
                0.9999993524049702,
                0.9999952149066461,
                0.9999984465016899,
                0.9999980052698029
            ],
            [
                0.999997438717484,
                0.9999984465026158,
                0.99999862904312,
                0.9999987901338838,
                0.9999980052702785,
                0.9999984465020603,
                0.999991060304762,
                0.9999980052693274,
                0.9999952149072167,
                0.9999962733593832
            ],
            [
                4.785093353787868e-06,
                7.338211554758494e-07,
                1.8925157258585e-05,
                1.5534971989992774e-06,
                2.7535697662094155e-05,
                0.939913350667554,
                1.012999339449843e-05,
                5.4222170296279735e-06,
                6.962253758916883e-06,
                6.1441724046434924e-06
            ],
            [
                2.7535700942411318e-05,
                7.484620044711632e-05,
                6.962254589705982e-06,
                5.144220749261362e-05,
                6.144173869240119e-06,
                0.9999869928761871,
                1.1478772229300848e-05,
                8.939697369151141e-06,
                1.1478768122695653e-05,
                6.605212099288318e-05
            ],
            [
                0.999860177892614,
                2.1444948410928083e-05,
                1.1478769492893215e-05,
                0.9992903297087612,
                0.0011695100799735663,
                8.939698434820389e-06,
                5.144220749598207e-05,
                1.892514823364471e-05,
                0.9999646437366505,
                0.00013982204016952795
            ],
            [
                0.9999977396751633,
                0.9999910603004991,
                0.9999832985761654,
                0.9999756997563761,
                0.9999852610197864,
                0.999998446502801,
                0.999989870005398,
                0.9999930377445808,
                0.9999938558246666,
                0.9999885212291378
            ],
            [
                1.0677033791437343e-06,
                7.338212429537553e-07,
                7.889265406567165e-06,
                6.1441746017453204e-06,
                2.144495863411905e-05,
                6.144175333837093e-06,
                4.0063696932399445e-05,
                9.42244930862237e-07,
                8.93969950000193e-06,
                1.147876675466972e-05
            ],
            [
                0.00015843627317065276,
                0.8933094010836642,
                0.9998601779426236,
                1.6701417860795016e-05,
                0.9890130577843254,
                0.00013982205714654678,
                0.00010889693510738684,
                0.00015843623543706874,
                8.481106153947614e-05,
                5.829127247176183e-05
            ],
            [
                6.60521524508739e-05,
                3.1201922517673344e-05,
                1.1478770861211786e-05,
                2.753568781022632e-05,
                1.473898196677375e-05,
                2.1444948408977715e-05,
                0.9968273169690082,
                0.9959298619311242,
                3.7266379512112265e-06,
                0.9996200154281611
            ],
            [
                3.288750633488963e-06,
                1.1478769490387674e-05,
                5.04347468318358e-07,
                2.561283432005142e-06,
                1.5534971989992774e-06,
                6.475948753965404e-07,
                3.2887502412970765e-06,
                1.760344052693435e-06,
                1.5534979393735333e-06,
                4.785093924251918e-06
            ],
            [
                3.5356267564055315e-05,
                6.9622595694023114e-06,
                3.288749457409966e-06,
                5.043476486902204e-07,
                8.315282259117513e-07,
                2.7535704219423216e-05,
                1.8925148238808306e-05,
                6.962253759670401e-06,
                5.8291251569143705e-05,
                4.785095065045315e-06
            ],
            [
                0.9992903294526255,
                0.9999339478711133,
                0.9999485577924824,
                7.889260704308795e-06,
                2.7535691054881254e-05,
                1.0129993395088066e-05,
                4.006371128012683e-05,
                3.120190392670705e-05,
                1.4738988997768797e-05,
                0.0003353501071674785
            ],
            [
                6.475945666009864e-07,
                3.535626334156318e-05,
                2.2603234895176927e-06,
                1.0677028700266676e-06,
                1.1478769491014062e-05,
                3.7266383955882547e-06,
                6.144172404380855e-06,
                5.422221555133606e-06,
                3.288747889229516e-06,
                5.043475885634304e-07
            ],
            [
                2.7535700938304286e-05,
                1.1478773598538445e-05,
                5.422217030614265e-06,
                0.002800926658221352,
                0.0006263340770788488,
                0.9149009526726545,
                0.9525741288419872,
                0.9241418205010699,
                0.9999151889486014,
                0.0001795279440024774
            ],
            [
                6.962257078819179e-06,
                6.144176798479122e-06,
                6.144173868781898e-06,
                2.561282515914161e-06,
                1.7603436330179102e-06,
                2.5612812946890944e-06,
                7.338210679949506e-07,
                1.760344052693435e-06,
                0.09534946425643773,
                0.9465966668104392
            ],
            [
                0.9999687980774881,
                0.999994577782323,
                0.9999885212277699,
                0.9999869928653343,
                0.9999921107383555,
                0.9999852610162724,
                0.9999852610110009,
                0.9999962733593832,
                0.9999885212264018,
                0.9999810748450053
            ],
            [
                0.9999724643121839,
                0.9999417087275358,
                0.9999869928715365,
                0.9999251537817999,
                0.9999885212346117,
                0.9998415638022965,
                0.9999885212277704,
                0.9999485577740872,
                0.9999417087067125,
                0.9999785550541442
            ],
            [
                5.422217030495909e-06,
                7.889263525778283e-06,
                6.96225956921868e-06,
                2.7535700932494338e-05,
                1.3007123812317831e-05,
                5.422220262333096e-06,
                8.939700565996655e-06,
                0.00015843617834455259,
                3.120191881094355e-05,
                1.0129994602057158e-05
            ],
            [
                0.9999977396757022,
                0.9999852610215426,
                0.9999852610180284,
                0.9999687980960759,
                0.9990889487692538,
                0.9999930377445804,
                0.9999977396748938,
                0.9999151889486434,
                0.9999724643089064,
                0.9968273176435084
            ],
            [
                8.315281267834927e-07,
                3.2887506334560605e-06,
                4.450852111120808e-07,
                7.338207180864763e-07,
                5.8291272239779075e-05,
                2.9023116390421582e-06,
                5.422217676979575e-06,
                1.0129994600859455e-05,
                5.8291258521838744e-05,
                1.9947299592933255e-06
            ],
            [
                5.829126552754713e-05,
                6.1441767989541075e-06,
                5.829124465207388e-05,
                0.9959298623596076,
                0.00033535022807252245,
                0.939913344566232,
                0.00017952792189968053,
                3.1201922525618933e-05,
                1.670142582254589e-05,
                8.481107162358746e-05
            ],
            [
                1.7603438428028262e-06,
                7.338208930421943e-07,
                2.260324028281919e-06,
                2.9023130228444433e-06,
                9.422447062094932e-07,
                6.962255418367598e-06,
                5.715006514105942e-07,
                2.902312677104321e-06,
                2.3823685319076597e-07,
                4.222834451169694e-06
            ],
            [
                8.481106128834518e-05,
                2.75357009372024e-05,
                0.9998204720130666,
                3.120191880504111e-05,
                1.3007133113372426e-05,
                6.144172404587612e-06,
                5.422219616085833e-06,
                1.0129988564264954e-05,
                0.00012339461832549948,
                0.939913349615602
            ],
            [
                6.144177531599359e-06,
                0.9875683514679048,
                8.481104126512805e-05,
                0.7772998663336158,
                0.9046505402422644,
                2.7535687809124434e-05,
                1.3007126913583456e-05,
                4.0063696945516495e-05,
                0.0005527787298928631,
                0.9995121428222395
            ],
            [
                0.9999945777790913,
                0.9996646499302397,
                0.9999974387168733,
                0.9999962733589388,
                0.9999986290426297,
                0.9999980052695652,
                0.9999967112497585,
                0.9999485578047708,
                0.9999910602994336,
                0.9999986290421394
            ],
            [
                1.6701421836551084e-05,
                0.9980732653675665,
                1.4738985485166298e-05,
                4.222832940942332e-06,
                5.829128632668981e-05,
                2.1444953524161264e-05,
                2.4300246513165137e-05,
                1.0129990978847043e-05,
                8.939696303758459e-06,
                6.962256249327861e-06
            ],
            [
                0.9999980052709919,
                0.9999921107402359,
                0.9999982396559473,
                0.9999785550567016,
                0.9999810748540172,
                0.9999832985701931,
                0.9999921107364739,
                0.999994577780384,
                0.9999952149072165,
                0.9999852610145158
            ],
            [
                1.7603432133032607e-06,
                5.715007195410849e-07,
                9.422442569097361e-07,
                7.889261644057078e-06,
                7.338213304283347e-07,
                6.9622579086271995e-06,
                8.315282259089153e-07,
                7.3382080556433e-07,
                1.994729959270648e-06,
                1.2098658276862581e-06
            ],
            [
                0.9999945777816768,
                0.9999869928684354,
                0.9999970976866309,
                0.9999952149072165,
                0.9999989322970027,
                0.9999885212291383,
                0.9999962733620487,
                0.9999974387184,
                0.9999957771675625,
                0.9999974387184
            ],
            [
                0.9999921107383549,
                0.9999980052707541,
                0.9999977396762411,
                0.9999938558275955,
                0.9999910603036961,
                0.9999952149060758,
                0.9999977396748938,
                0.999997438716568,
                0.9999977396748938,
                0.9999982396567867
            ],
            [
                0.9999986290432834,
                0.9999980052695652,
                0.9999970976873229,
                0.9999980052695652,
                0.999995214904935,
                0.9999984465020603,
                0.9999952149037942,
                0.9999930377420904,
                0.9999991684716749,
                0.9999977396765105
            ],
            [
                0.0007096703547257305,
                1.4738976699106073e-05,
                0.00015843625389468918,
                0.00029595699236583707,
                0.8354835371034368,
                1.1478770862255766e-05,
                0.0006263340240300633,
                0.9999756997679619,
                0.9669140193469353,
                0.9940889325173713
            ],
            [
                2.1444953520182517e-05,
                6.962256249327861e-06,
                1.6701421837158667e-05,
                6.962254589705982e-06,
                4.785094494672519e-06,
                2.4300243627117176e-05,
                2.4300232036606334e-05,
                1.6701423832586287e-05,
                1.3007133115667397e-05,
                2.1444953515423628e-05
            ],
            [
                0.9999832985821401,
                0.9998204720125913,
                0.9999756997592703,
                0.9999339478789562,
                0.9992903297052939,
                0.9959298620764688,
                0.999968798081189,
                0.9999885212277698,
                0.9875683464598368,
                0.9999898700126431
            ],
            [
                9.422442569315887e-07,
                6.475945666051092e-07,
                5.715003789033962e-07,
                1.994729483630195e-06,
                1.2098653950656417e-06,
                1.7603430034311638e-06,
                2.1024344128660572e-07,
                1.2098652508347793e-06,
                1.9947301970106386e-06,
                2.3823682479181176e-07
            ],
            [
                6.962256249327861e-06,
                4.539789026296999e-05,
                6.605216826132997e-05,
                5.144221363703851e-05,
                0.999933947871074,
                0.9859363699737193,
                6.962257079376403e-06,
                1.1478765387667046e-05,
                2.753568781022632e-05,
                0.8519527963298947
            ],
            [
                1.147876538716594e-05,
                7.484622719695779e-05,
                5.422217676797111e-06,
                0.9978172838604324,
                0.00017952790006853497,
                8.939700566565793e-06,
                2.561282516042282e-06,
                1.8925150495232307e-05,
                2.7535697662094155e-05,
                0.9997388095975285
            ],
            [
                4.539789026561238e-05,
                0.00010889689614645761,
                0.9998415638021121,
                0.9997388097845256,
                7.889262585642319e-06,
                7.88925976359915e-06,
                1.1478764019557924e-05,
                9.610238048784824e-05,
                0.000230506687277285,
                3.120190020204515e-05
            ],
            [
                1.2098658277264215e-06,
                0.9994472213869057,
                1.3007134665934505e-05,
                1.1478770861650256e-05,
                8.93969310647542e-06,
                0.9968273172819586,
                1.1478772230198667e-05,
                0.9997388096297813,
                1.670141985245514e-05,
                5.829128627537368e-05
            ],
            [
                7.484625396641216e-05,
                4.785092783371756e-06,
                6.1441731370702875e-06,
                1.4738978454950406e-05,
                2.1444953523537147e-05,
                0.00029595705586286323,
                2.9023130230133794e-06,
                0.00020342699660629322,
                1.8925141471913163e-05,
                2.7535684529910724e-05
            ],
            [
                0.7772998508568416,
                9.610242632402301e-05,
                8.93970056565517e-06,
                0.00026119021373414747,
                6.605215241483182e-05,
                1.3007123812057577e-05,
                3.5356246482211416e-05,
                0.9999417087483723,
                1.4738980212644815e-05,
                4.53978848619353e-05
            ],
            [
                1.8553914607128047e-07,
                1.3709575336947905e-06,
                1.1478772227338172e-05,
                1.553497384180408e-06,
                2.2603234894560207e-06,
                7.889262584508638e-06,
                3.120191878949046e-05,
                3.059022998576899e-07,
                1.994729483705484e-06,
                1.7603427936183298e-06
            ],
            [
                0.000261190307164264,
                3.2887478892055875e-06,
                0.8670357563664174,
                0.9999724642957851,
                0.9669140180359896,
                2.1444948406091176e-05,
                0.9975273770518285,
                0.5312093733737563,
                0.9968273170220256,
                0.4378234991142019
            ],
            [
                5.422220262333096e-06,
                4.539787944306515e-05,
                3.2887478891487563e-06,
                8.48110813775892e-05,
                4.222833444229772e-06,
                2.1444940736477737e-05,
                0.999860177892614,
                3.288748281295496e-06,
                1.670141586949968e-05,
                0.0002611902101015147
            ],
            [
                0.9999974387177893,
                0.9999852610162734,
                0.9999977396759716,
                0.9999687980997901,
                0.9999962733589389,
                0.9999869928699853,
                0.9999832985801483,
                0.9999957771680656,
                0.9999930377437506,
                0.9999994956525317
            ],
            [
                1.6701429797422853e-05,
                2.4300249420429837e-05,
                1.3007133114602719e-05,
                3.726637951367137e-06,
                4.539787943778038e-05,
                3.2887498494282754e-06,
                0.8354835309589074,
                0.00023050671065146403,
                2.753568779580163e-05,
                7.484625386131644e-05
            ],
            [
                8.939693106329072e-06,
                4.539789027816371e-05,
                4.006370650260296e-05,
                0.7981867801399694,
                1.670142383167491e-05,
                4.222834954607099e-06,
                1.3709567165461505e-06,
                0.9999921107374146,
                5.1442207475397105e-05,
                6.962255419728997e-06
            ],
            [
                5.82912516162188e-05,
                0.9982992779052055,
                0.00023050679557654998,
                3.535626335262457e-05,
                2.4300249418927004e-05,
                1.8925148238808306e-05,
                6.605214463262879e-05,
                1.7603425837062577e-06,
                2.1444950965906214e-05,
                0.817574471748733
            ],
            [
                0.9999986290426297,
                0.9999869928730862,
                0.9999970976866309,
                0.9999910603026306,
                0.9999957771680658,
                0.9999989322970027,
                0.9999989322968754,
                0.9999810748562746,
                0.9999977396748938,
                0.9999967112493665
            ],
            [
                0.9999921107364742,
                0.9999984465018751,
                0.9999687980774675,
                0.9999785550413615,
                0.9999869928684354,
                0.9999980052700407,
                0.9999957771655488,
                0.9999986290424664,
                0.9999977396751633,
                0.999999057755743
            ],
            [
                8.93969630348202e-06,
                1.1478764005255457e-05,
                2.5612822106654943e-06,
                8.31527928532683e-07,
                2.9023133690425823e-06,
                3.288750241500471e-06,
                1.7603425837606927e-06,
                5.422218969384951e-06,
                3.5356242262551455e-05,
                9.422444815765128e-07
            ],
            [
                4.006369694347607e-05,
                5.4222202624563834e-06,
                0.0004878571651867212,
                5.829128634789482e-05,
                3.1201922525618933e-05,
                0.9999339478474549,
                0.00023050679646188508,
                0.9579122674284876,
                0.9990889486735156,
                0.0002959570620541253
            ],
            [
                0.9998911031296458,
                1.4738981970956057e-05,
                2.430024361951464e-05,
                0.9999417087483762,
                0.98201379299885,
                1.8925157257965367e-05,
                0.9820137861886836,
                1.0129994601301684e-05,
                4.539786857361818e-05,
                2.1444945848226808e-05
            ],
            [
                1.6701415869924985e-05,
                6.605217607477225e-05,
                4.222835458044565e-06,
                7.889261644631091e-06,
                6.605215238359538e-05,
                2.9023130230846496e-06,
                1.012998735687278e-05,
                0.00020342706895199594,
                7.88926352599354e-06,
                2.430024650998268e-05
            ],
            [
                1.8925157255968775e-05,
                4.222835458044565e-06,
                2.7535681245588654e-05,
                4.222832941111319e-06,
                1.8925152741191683e-05,
                1.0129989771473008e-05,
                1.6701415868193372e-05,
                7.889263525778283e-06,
                1.012998977022003e-05,
                3.5356242271040426e-05
            ],
            [
                2.1444945852673643e-05,
                2.1444948410303962e-05,
                5.422221555192784e-06,
                1.8925143723620274e-05,
                3.535626333989112e-05,
                0.9993736658979271,
                2.4300240727367308e-05,
                0.9999938558232009,
                8.939699500896292e-06,
                3.535624646549072e-05
            ],
            [
                2.902311639126627e-06,
                8.315278294072958e-07,
                4.222831934202483e-06,
                1.7603425837702984e-06,
                1.5534979393735333e-06,
                2.753569109254574e-05,
                3.1201926224857616e-05,
                3.7266379512518984e-06,
                1.2098653950606901e-06,
                1.1478773597640625e-05
            ],
            [
                0.9999980052705163,
                0.9999974387168733,
                0.9999986290426298,
                0.9999251537370689,
                0.9999977396757022,
                0.999975699759268,
                0.9999967112517187,
                0.99998987000419,
                0.9999986290429566,
                0.9999945777810303
            ],
            [
                0.0011695099873646085,
                2.4300234936443568e-05,
                0.994088930547246,
                5.422217030362759e-06,
                4.539785781036459e-05,
                2.144494073796001e-05,
                0.00017952798675319138,
                0.9999724643023419,
                1.1478768124992398e-05,
                0.995390427386895
            ],
            [
                7.484620927950735e-05,
                2.753569107251144e-05,
                2.7535694375867267e-05,
                0.06754668503914044,
                3.120192617752461e-05,
                0.00010889688325825059,
                8.939699500327152e-06,
                0.9669140210154116,
                1.8925141456801038e-05,
                6.96225956921868e-06
            ],
            [
                0.9999724643056213,
                0.9999687980811924,
                0.9999952149072165,
                0.9999977396748938,
                0.9999687980997901,
                0.9999251537370575,
                0.9999921107355337,
                0.9999910603047619,
                0.9999869928668841,
                0.9999546021367759
            ],
            [
                1.0129990979215566e-05,
                1.6701429804744246e-05,
                9.4224425692559e-07,
                4.22283294098842e-06,
                1.2098656834922064e-06,
                7.338207180801359e-07,
                8.31528424162821e-07,
                2.5612816000145246e-06,
                2.9023116391477434e-06,
                8.315280276580819e-07
            ],
            [
                0.9999930377454104,
                0.9999987901343165,
                0.9999832985781566,
                0.9999962733620487,
                0.9999962733620487,
                0.9999986290424664,
                0.9999980052702786,
                0.9999724642990556,
                0.9999970976887068,
                0.9999967112517189
            ],
            [
                2.753568451748946e-05,
                1.3007128462477575e-05,
                7.48462272100267e-05,
                0.001169510164151172,
                0.0003799844300389213,
                1.8925157259824262e-05,
                0.9996200154237502,
                0.0009110513144575158,
                0.9324533121452495,
                6.144174601499446e-06
            ],
            [
                0.9999756997592744,
                0.9999957771670588,
                0.9997388097541877,
                0.9999898700090208,
                0.9997694931753348,
                0.9999938558253983,
                0.9999952149055054,
                0.9999921107374145,
                0.9999910603015646,
                0.9999546021205734
            ],
            [
                0.9875683473631187,
                1.7603432133032607e-06,
                9.422448185478557e-07,
                2.260324028351814e-06,
                2.9023109469023766e-06,
                5.422217030495909e-06,
                1.7603427935967163e-06,
                2.5612831266165976e-06,
                1.3709575336093795e-06,
                6.475951069961737e-07
            ],
            [
                0.0006263340900495691,
                7.484621811625572e-05,
                2.4300240725599276e-05,
                0.00029595709519761575,
                0.00037998446679613363,
                3.535624227734284e-05,
                1.8925145981283003e-05,
                2.144494840687132e-05,
                0.008577483449580637,
                5.829124460287829e-05
            ],
            [
                1.670142781560441e-05,
                4.0063696951637786e-05,
                4.7850967763512445e-06,
                6.605212886590941e-05,
                1.6701417860795016e-05,
                2.430025230532926e-05,
                8.939696303758459e-06,
                1.0129988564430787e-05,
                3.2887506335906595e-06,
                5.8291258453558646e-05
            ],
            [
                3.466327863945479e-07,
                1.0677033791583005e-06,
                1.3709575337016483e-06,
                7.889261644760245e-06,
                2.5612819053586272e-06,
                4.006369215691771e-05,
                8.315280276580819e-07,
                1.7603425837791042e-06,
                3.2887498494551953e-06,
                4.78509449410676e-06
            ],
            [
                1.012998856312253e-05,
                4.006369693691754e-05,
                0.9997388096599749,
                5.144222588097783e-05,
                1.1478765386330758e-05,
                5.8291251536063904e-05,
                1.1478773597870298e-05,
                0.9998204720766403,
                1.0129990979381404e-05,
                8.481105137391814e-05
            ],
            [
                3.7266401724291984e-06,
                9.422448185510695e-07,
                1.1478766756214804e-05,
                1.892515048820981e-05,
                1.5534981249496567e-06,
                1.5534977545603963e-06,
                5.144220749261362e-05,
                3.2887498493325602e-06,
                4.7850944945245504e-06,
                4.222833947897496e-06
            ],
            [
                7.889260704631679e-06,
                3.120190019636974e-05,
                6.962254589781966e-06,
                0.00037998442828120806,
                1.4738981966291175e-05,
                3.288748281295496e-06,
                0.8670357477770336,
                8.939698433145498e-06,
                1.1478770861441461e-05,
                7.889266347248781e-06
            ],
            [
                0.00037998448282559584,
                0.00020342702111811778,
                5.1442201347440924e-05,
                0.00010889690917726991,
                0.9990889487668166,
                2.1444958635523312e-05,
                9.610246075745164e-05,
                6.962257079275089e-06,
                0.9994472212536101,
                1.4738978457041559e-05
            ],
            [
                4.006367783499403e-05,
                3.288749457409966e-06,
                1.0129992186202796e-05,
                1.5534975693792215e-06,
                1.4738978453743973e-05,
                6.144172404520556e-06,
                5.829124466437278e-05,
                5.144220136091472e-05,
                1.670142184171555e-05,
                7.484620936173245e-05
            ]
        ]
    },
    {
        "q_id": "10390_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            65
        ],
        "rewards": [
            [
                5.144223187382465e-05,
                4.539786306391805e-05,
                0.00010889692176918111,
                6.60521209179157e-05,
                5.829129313137801e-05,
                8.481106085025434e-05,
                0.00012339461834524895,
                8.481104100042252e-05,
                8.481106114025814e-05,
                9.6102448890436e-05
            ],
            [
                7.88926540454376e-06,
                1.4738983718463215e-05,
                1.012999339309804e-05,
                2.430024360519357e-05,
                1.892514821808506e-05,
                2.4300240708626165e-05,
                1.1478772229050293e-05,
                7.889263519736775e-06,
                1.670142781244497e-05,
                1.6701417852987564e-05
            ],
            [
                8.939698431682001e-06,
                1.0129990977759901e-05,
                1.0129994596087078e-05,
                4.785096775580942e-06,
                4.785094494185095e-06,
                1.1478765382509808e-05,
                8.939697366029015e-06,
                1.300713311155064e-05,
                4.785096204415878e-06,
                1.147876948575242e-05
            ],
            [
                0.00015843623439973532,
                2.144494839454502e-05,
                5.144220739043735e-05,
                3.120191504757351e-05,
                4.5397890183368146e-05,
                0.0002305067945771944,
                0.00012339454439786544,
                0.00023050662920738366,
                0.00010889696084103356,
                0.00012339460277907598
            ],
            [
                2.1444943278894603e-05,
                4.5397852378781204e-05,
                7.484624460581464e-05,
                3.120191869595956e-05,
                0.0002611903015937185,
                9.610244871284678e-05,
                9.610237977050019e-05,
                4.539788481668446e-05,
                6.605215240858454e-05,
                0.00013982212336406024
            ],
            [
                0.9995121428321736,
                0.0005527785209612677,
                0.0001398220901342531,
                6.605212084631218e-05,
                0.00013982209038651802,
                5.8291279382897555e-05,
                6.6052120892446e-05,
                8.481104116825446e-05,
                0.00010889689602128323,
                0.00033534998437943585
            ],
            [
                1.4738976679695888e-05,
                1.147876948232818e-05,
                7.889264463446097e-06,
                1.670142979608617e-05,
                1.30071315602427e-05,
                1.892514370117584e-05,
                2.4300252313020203e-05,
                1.8925152739677025e-05,
                3.120190386495853e-05,
                6.962259565976648e-06
            ],
            [
                0.999664649980838,
                0.9999151889792061,
                0.9998415637462229,
                0.9998601779262325,
                0.9999546021262196,
                0.9998204719720764,
                0.9999417087415515,
                0.9994472213496344,
                0.9999724642958198,
                0.9997965730777757
            ],
            [
                4.53978523335304e-05,
                5.829126541685701e-05,
                2.7535697632443384e-05,
                8.481106134696298e-05,
                7.484620035127781e-05,
                9.610246036941213e-05,
                3.5356267531385634e-05,
                0.00020342697116514156,
                4.5397852286628106e-05,
                8.481107136566915e-05
            ],
            [
                0.9999339478403104,
                0.9999417087565455,
                0.999891103041062,
                0.9998766053683993,
                0.9998601778763329,
                0.9996646499096336,
                0.9999485577987062,
                0.999769493268503,
                0.9999151889499021,
                0.9997965730042994
            ],
            [
                1.0129989769962063e-05,
                1.1478769489343698e-05,
                1.3007125344271362e-05,
                6.962253750102616e-06,
                2.144495606813994e-05,
                1.6701425786941456e-05,
                1.892514369573685e-05,
                2.430024066336454e-05,
                1.0129995803259e-05,
                6.962254586166343e-06
            ],
            [
                5.42222090821551e-06,
                2.1444950950771382e-05,
                1.473898897953822e-05,
                1.0129990977004428e-05,
                6.144176796947993e-06,
                1.300713156215912e-05,
                1.892515272473701e-05,
                1.0129992171240752e-05,
                1.8925145957048516e-05,
                1.3007131558917768e-05
            ],
            [
                0.9996646497337593,
                5.8291279270086916e-05,
                3.535626333281696e-05,
                0.00010889696038787034,
                6.605215239608995e-05,
                0.0001584361578537684,
                4.006371124165013e-05,
                0.00020342706941666117,
                0.9991959139171971,
                4.539787939583253e-05
            ],
            [
                9.610246031767354e-05,
                2.144494840289258e-05,
                5.144222573239177e-05,
                7.484621820011444e-05,
                0.0001233945744583414,
                3.535626331056557e-05,
                0.00015843615841853857,
                4.539788481668446e-05,
                0.00010889696076497818,
                7.48462179975466e-05
            ],
            [
                0.9999810748495968,
                0.9999724643188496,
                0.9999646437325687,
                0.9999756997679812,
                0.9999546021098595,
                0.9999251537379864,
                0.9999546021368987,
                0.9998204719720346,
                0.9999599362985778,
                0.9998601779765878
            ],
            [
                6.1441760651689774e-06,
                1.1478773585029389e-05,
                7.889263522520747e-06,
                1.0129994600398803e-05,
                8.939694163769713e-06,
                4.222832436379863e-06,
                1.1478764018305152e-05,
                5.422220260202708e-06,
                7.88926164421493e-06,
                1.473898371722997e-05
            ],
            [
                0.9999885212277881,
                0.9999599362984446,
                0.9999785550490472,
                0.999968798081307,
                0.9999869928715713,
                0.9999832985801901,
                0.9997388096680304,
                0.9999646437577848,
                0.9999910603069162,
                0.9999485577621158
            ],
            [
                7.484625385369293e-05,
                0.00023050667924220193,
                7.484625363315528e-05,
                0.00020342706706965772,
                0.0002034269199928022,
                3.120190018002454e-05,
                6.60521209179157e-05,
                2.144494838924002e-05,
                5.144221348433549e-05,
                4.539786854257018e-05
            ],
            [
                4.0063682546783496e-05,
                1.4738983717819781e-05,
                0.0002034269469256108,
                5.144223194306502e-05,
                0.0001233945741279867,
                0.00013982207124896826,
                0.00023050681944706427,
                0.0002305066286708173,
                0.00010889693488397425,
                0.9971990734926517
            ],
            [
                0.9999785550490502,
                0.9998766053965853,
                0.9993736657565243,
                0.9975273762782746,
                0.9997040429803892,
                0.9990889487067353,
                0.9992903294880014,
                0.999569442874185,
                0.9996200153947313,
                0.9988304894794199
            ],
            [
                5.144221974216556e-05,
                0.00012339458929198511,
                5.144222587049821e-05,
                7.484621822189592e-05,
                4.539785234013636e-05,
                0.995390428446651,
                0.9999339478399807,
                2.4300232009732255e-05,
                0.9998415637278067,
                2.753569108453202e-05
            ],
            [
                0.00010889692183097605,
                3.535623801523855e-05,
                2.144495349826041e-05,
                0.00012339460328538053,
                3.5356238024242e-05,
                3.1201907595069264e-05,
                7.484623597326465e-05,
                6.605216818444021e-05,
                2.753569433890398e-05,
                2.1444943284979742e-05
            ],
            [
                0.0004878570730265745,
                8.481105112834048e-05,
                4.539787402089267e-05,
                6.605216009996246e-05,
                4.0063696899461064e-05,
                9.610244852127415e-05,
                0.00010889694707659778,
                5.144220739530288e-05,
                0.0007096702665952073,
                0.0002611903042991949
            ],
            [
                0.00020342697199384353,
                2.7535697649071857e-05,
                0.0001398220233410219,
                9.610243756248196e-05,
                4.539785776395774e-05,
                8.481104111148777e-05,
                3.120192621089609e-05,
                5.144223201941656e-05,
                5.829125851717365e-05,
                0.00012339457463788196
            ],
            [
                8.93969523387785e-06,
                4.222833442816421e-06,
                1.670142780162997e-05,
                1.4738988967205773e-05,
                4.2228334433617906e-06,
                7.889262578983744e-06,
                2.1444940705896026e-05,
                5.829128593058022e-05,
                2.430024649256756e-05,
                2.1444953461125455e-05
            ],
            [
                7.889259761489647e-06,
                1.8925141465200488e-05,
                1.3007125334902197e-05,
                1.0129988562422337e-05,
                1.0129992185981682e-05,
                1.4738985482351282e-05,
                1.0129993388915298e-05,
                7.889262583633267e-06,
                3.5356267537559426e-05,
                7.889259763326495e-06
            ],
            [
                2.4300240699432402e-05,
                2.4300246506623417e-05,
                2.144494838814782e-05,
                1.1478765376914098e-05,
                1.4738976691867467e-05,
                1.670141979713462e-05,
                3.535626736700825e-05,
                1.0129987351952995e-05,
                2.430025228977057e-05,
                8.939695225031829e-06
            ],
            [
                0.00017952804922718646,
                4.539789021507677e-05,
                0.00010889692136513712,
                5.829126545587422e-05,
                6.605216024989748e-05,
                0.00017952802721318486,
                8.481103097369854e-05,
                0.00017952800735148003,
                6.605212085976786e-05,
                0.0003353501414427662
            ],
            [
                0.9990889490156193,
                0.9992903295831083,
                0.9993736659428873,
                0.9992903296818475,
                0.9998415638423676,
                0.9997388096686841,
                0.9992903295433153,
                0.5312093733737563,
                0.9998204720799262,
                0.9999038976200365
            ],
            [
                0.9998911030914723,
                0.9999724643089892,
                0.9999852610180522,
                0.9999869928684795,
                0.9998415638219873,
                0.999820471995365,
                0.999975699750598,
                0.9999151889393237,
                0.9997040429169611,
                0.9999599363175751
            ],
            [
                5.829126543170052e-05,
                1.8925148232267744e-05,
                7.484621804982218e-05,
                0.9995121428975969,
                0.00015843621625101194,
                0.00023050671275078066,
                0.9994472212681454,
                6.605215247346026e-05,
                6.605216034072351e-05,
                0.00013982212373432013
            ],
            [
                0.000379984477408743,
                8.481103101257137e-05,
                0.00010889686962850588,
                2.430023779862206e-05,
                9.610244876878039e-05,
                0.00037998456960579915,
                0.00010889696040529969,
                0.000139822140216991,
                0.00020342694641063176,
                3.53562590871736e-05
            ],
            [
                0.00012339460388863702,
                9.61024489911165e-05,
                0.00017952802761543406,
                7.484626277430532e-05,
                5.8291251541153115e-05,
                0.0002305067393242407,
                8.481106144753875e-05,
                7.484625391195843e-05,
                4.53978902461248e-05,
                7.48462537322611e-05
            ],
            [
                8.481108168178473e-05,
                9.610240308920897e-05,
                8.481106144753875e-05,
                8.481107136566915e-05,
                0.00017952796175628582,
                0.993307149954906,
                0.0001088968824850216,
                2.1444945840269323e-05,
                0.00012339458914655723,
                0.0003799844807141287
            ],
            [
                8.939699497042417e-06,
                1.1478766751997141e-05,
                1.0129988556065312e-05,
                1.9947294821479997e-06,
                7.889266344766165e-06,
                1.6701423816789103e-05,
                6.605215196791019e-05,
                3.5356267477364894e-05,
                1.8925145943072374e-05,
                2.7535681197606525e-05
            ],
            [
                2.1444950943203962e-05,
                4.785093353352668e-06,
                8.93969629829474e-06,
                6.144172403715875e-06,
                8.939700559833708e-06,
                1.7603434226854702e-06,
                6.962257904916592e-06,
                1.300712379381609e-05,
                1.0129989768616954e-05,
                6.962257078819179e-06
            ],
            [
                2.430024069660355e-05,
                6.605216817867347e-05,
                5.8291286299547405e-05,
                0.9975273762782746,
                2.7535691082027735e-05,
                4.53978793499211e-05,
                0.00015843617694991595,
                7.484621818541193e-05,
                4.539786316564981e-05,
                6.605212873904136e-05
            ],
            [
                0.999373665938843,
                6.605217594117627e-05,
                0.0001398220394656276,
                0.00026119030471717577,
                6.605214424049113e-05,
                0.00015843627120432918,
                3.535625904858737e-05,
                4.539787938262061e-05,
                0.9971990733996566,
                5.829127927560022e-05
            ],
            [
                0.9999038975508551,
                0.9999785550543261,
                0.9998415637677857,
                0.9996646498987743,
                0.9999417087068402,
                0.9999151889705491,
                0.9998204719731996,
                0.9992903297395966,
                0.9998766053818595,
                0.9995694428749866
            ],
            [
                7.484622702052772e-05,
                1.8925145971093502e-05,
                7.484625341098402e-05,
                4.0063701593909114e-05,
                2.4300240716759115e-05,
                0.0002034269205788127,
                4.006368730302574e-05,
                0.00010889689574875167,
                1.8925143717561654e-05,
                0.9999038976083772
            ],
            [
                0.9999810748585416,
                0.9999852610198142,
                0.9998415637088005,
                0.999841563822082,
                0.9999417087073899,
                0.9999885212277827,
                0.999972464312258,
                0.9999339478635734,
                0.9998415637843208,
                0.9999339478478206
            ],
            [
                0.9995121427973191,
                7.484624486174719e-05,
                3.535624221033144e-05,
                4.5397890187331725e-05,
                0.00010889688253730961,
                7.484622714250407e-05,
                3.5356259114569826e-05,
                0.9995694428810239,
                0.000139822073027029,
                0.0001398221059231913
            ],
            [
                1.1478770856952364e-05,
                1.3007126906509262e-05,
                1.0129993392342568e-05,
                1.0129990967938758e-05,
                6.144176063626673e-06,
                2.1444945839255133e-05,
                7.889259758016858e-06,
                1.670142581373592e-05,
                5.422217674780147e-06,
                1.4738978437390084e-05
            ],
            [
                4.222834449921489e-06,
                1.1478770854029233e-05,
                1.4738981957765705e-05,
                3.288749456563487e-06,
                1.3007134655335035e-05,
                3.7266392836374875e-06,
                6.962257906765564e-06,
                5.422220259532031e-06,
                7.889265404959923e-06,
                4.222832939432965e-06
            ],
            [
                0.9993736658298671,
                0.9998204720565539,
                0.9994472214292579,
                0.9999599363031529,
                0.9995694428878626,
                0.9998911031051337,
                0.9996200155662577,
                0.9999546021261739,
                0.9998204721023685,
                0.9997965730542879
            ],
            [
                5.144221971259806e-05,
                0.9947798735205521,
                0.00012339455998378054,
                5.829125147881042e-05,
                8.481102085565546e-05,
                5.1442195178315546e-05,
                7.48462182289749e-05,
                8.481105133072609e-05,
                3.535623800829303e-05,
                5.8291244639350886e-05
            ],
            [
                0.9971990733684416,
                2.4300234914166368e-05,
                3.535626755428014e-05,
                0.9959298613478584,
                0.00015843625359501502,
                1.6701423828576233e-05,
                1.8925148230890784e-05,
                2.1444948400318094e-05,
                0.3775406687981454,
                0.9953904276732001
            ],
            [
                1.1478773595970265e-05,
                1.1478769492893215e-05,
                3.7266379506485954e-06,
                1.670141983978702e-05,
                5.4222202609325635e-06,
                1.0129992184268048e-05,
                4.785093347512289e-06,
                1.473898196210887e-05,
                6.962259567749634e-06,
                1.3007130011655787e-05
            ],
            [
                2.4300246496634032e-05,
                1.4738988988010078e-05,
                2.7535694365549603e-05,
                5.144223809535255e-05,
                1.892514821808506e-05,
                2.7535697622726747e-05,
                7.889263520655201e-06,
                2.430023492353693e-05,
                2.753569107391384e-05,
                2.4300252306390083e-05
            ],
            [
                0.00010889692183097605,
                0.00017952798584160094,
                0.00010889696029755459,
                6.605214458361157e-05,
                0.0001088969218151312,
                0.0001233946187725557,
                0.00017952800758656067,
                0.00023050668277012652,
                5.8291251591196906e-05,
                3.120192621804711e-05
            ],
            [
                0.9997965731029267,
                3.5356246411341396e-05,
                7.48462180748709e-05,
                0.00012339458907115018,
                3.120190761845198e-05,
                0.0001584362907453913,
                6.605213668174985e-05,
                7.484621818541193e-05,
                0.0001233945889544488,
                0.00010889688268942024
            ],
            [
                1.6701423827421826e-05,
                1.67014218359435e-05,
                3.120191501533714e-05,
                5.144223804819424e-05,
                3.120190012667564e-05,
                1.4738987227097461e-05,
                1.670142382067764e-05,
                2.1444943266022203e-05,
                1.012998856015592e-05,
                1.6701415859504925e-05
            ],
            [
                0.9996646497257978,
                0.9998911030685353,
                0.9971990731889546,
                0.998299277555359,
                0.9986749777299031,
                0.9998204719733406,
                0.993307148704226,
                0.999769493329705,
                0.9997388096356331,
                0.9995121427896557
            ],
            [
                3.5356259084858424e-05,
                0.00017952805021713745,
                5.829126543170052e-05,
                6.605216031188985e-05,
                0.00010889696074913333,
                5.8291286280462885e-05,
                0.0001584362349253176,
                8.481105102097739e-05,
                0.00012339460356007768,
                0.00012339463290779158
            ],
            [
                1.012999338780973e-05,
                4.785095063939907e-06,
                1.3007128457012223e-05,
                8.939699494895954e-06,
                2.4300234925658572e-05,
                1.0129989767032304e-05,
                3.1201903877898474e-05,
                1.8925157254522964e-05,
                1.4738983708061067e-05,
                3.120191502010449e-05
            ],
            [
                0.9999599363175419,
                0.9999852610145697,
                0.999989870010234,
                0.9999339478560864,
                0.9999251537465356,
                0.9999687980738133,
                0.9999151889492827,
                0.9999251537911267,
                0.9999485577743548,
                0.9999251537374941
            ],
            [
                6.605216024316963e-05,
                6.605216824066585e-05,
                8.481106122664224e-05,
                0.00010889694767711821,
                3.535625488616215e-05,
                0.00010889690857833421,
                0.00010889692190544692,
                6.605216009227347e-05,
                0.00013982210691394165,
                9.610246047009266e-05
            ],
            [
                0.9999869928685342,
                0.9999898700042051,
                0.9999151889289775,
                0.9999151889288084,
                0.9998766053673704,
                0.9999339478480321,
                0.9999546021477497,
                0.9999417087279036,
                0.999903897608854,
                0.999941708749073
            ],
            [
                5.144223195167328e-05,
                3.120192619704807e-05,
                8.481106132783505e-05,
                2.753569763544853e-05,
                5.1442195174572826e-05,
                6.60521444778882e-05,
                4.539787397828422e-05,
                0.00010889689510861941,
                2.4300249377289832e-05,
                3.1201900111238496e-05
            ],
            [
                0.9933071494936403,
                0.00010889690880650018,
                7.484620923485531e-05,
                9.610241476115054e-05,
                0.0002034269206912794,
                5.8291265411767815e-05,
                5.8291272374642915e-05,
                3.1201911358551906e-05,
                5.144223800515293e-05,
                2.7535694304044287e-05
            ],
            [
                0.0002611902093187507,
                0.0001398221236671851,
                0.00010889696084103356,
                0.9982992772434618,
                8.481108146397333e-05,
                5.1442201268095255e-05,
                0.00023050662940188893,
                0.00017952798522255528,
                9.610241422139138e-05,
                0.00029595720271378094
            ],
            [
                1.1478765386038447e-05,
                7.889264466230069e-06,
                1.30071253513219e-05,
                1.1478772228256871e-05,
                1.0129992185299915e-05,
                1.4738980209829803e-05,
                1.4738985474174337e-05,
                7.88926258381982e-06,
                1.1478772227651366e-05,
                8.93969523127608e-06
            ],
            [
                0.9998204720790851,
                0.9995121428167332,
                0.997817283755464,
                0.999512142915081,
                0.999876605455103,
                0.9996200155697179,
                0.9998415637095958,
                0.999664649780006,
                0.9998204720782179,
                0.9999038976087001
            ],
            [
                2.7535681181779433e-05,
                1.892515045220231e-05,
                4.006371116965205e-05,
                1.1478766744689312e-05,
                1.1478772181632891e-05,
                1.0129992175920999e-05,
                1.6701415854279704e-05,
                6.962256245579263e-06,
                4.006369209133245e-05,
                1.4738981958409139e-05
            ],
            [
                0.9999885212291416,
                0.9999921107374357,
                0.9999921107364881,
                0.9999852610127896,
                0.9999852610110549,
                0.99997569975068,
                0.999996273359406,
                0.9999852610163084,
                0.9999885212264167,
                0.9999151889894562
            ],
            [
                5.144221969687863e-05,
                0.0002305066282616854,
                8.481103105082719e-05,
                5.8291286270284484e-05,
                0.00017952796436829252,
                4.006370643293681e-05,
                8.481104103127398e-05,
                0.0001088968956013945,
                0.00010889694786250314,
                4.539789020847081e-05
            ],
            [
                1.4738987221842767e-05,
                4.006368257039418e-05,
                0.00017952798649721472,
                5.1442207479139826e-05,
                0.00048785703326176136,
                7.484622693557993e-05,
                0.00015843617705595445,
                9.610243747578487e-05,
                7.48462449330816e-05,
                0.0002611902429776032
            ],
            [
                8.48110712805191e-05,
                0.0001088968826735754,
                7.48462002744981e-05,
                8.481108155405963e-05,
                1.4738978455701077e-05,
                7.484626275143474e-05,
                9.610237966003137e-05,
                4.539785234013636e-05,
                3.1201926219749737e-05,
                0.00023050668406459317
            ],
            [
                1.4738988992031526e-05,
                8.481106120566323e-05,
                7.48462360195503e-05,
                0.00020342704216715372,
                9.610240311437907e-05,
                4.5397884708016386e-05,
                6.605212869098529e-05,
                9.610243663957748e-05,
                1.8925145966893773e-05,
                7.484620011930503e-05
            ],
            [
                8.481101040071576e-05,
                0.9997040428349849,
                4.006370643876662e-05,
                0.9991959141212386,
                5.829126539607611e-05,
                0.9991959140118523,
                0.00010889688283360843,
                0.9991959139496063,
                6.605217592003159e-05,
                5.1442201289803036e-05
            ],
            [
                7.889266345196678e-06,
                2.7535694333695055e-05,
                8.939699496164318e-06,
                3.5356242249174894e-05,
                4.222833443891798e-06,
                1.892514596944115e-05,
                1.8925150486075525e-05,
                1.892515499389843e-05,
                1.4738985482753428e-05,
                2.144494327788042e-05
            ],
            [
                8.481101050931285e-05,
                4.0063682546783496e-05,
                2.753568780461672e-05,
                6.605217602094941e-05,
                4.5397868560075966e-05,
                5.82912723220545e-05,
                0.00010889693501231766,
                9.610240325001802e-05,
                4.539786317522845e-05,
                2.1444943290362748e-05
            ],
            [
                0.00015843625318469201,
                6.605214451729418e-05,
                8.4811051097489e-05,
                2.7535684510878145e-05,
                0.00010889689599276248,
                0.0001398220736556569,
                5.82912863042125e-05,
                2.4300243615448162e-05,
                0.0006263341303462466,
                6.605217598202397e-05
            ],
            [
                0.9999599363175071,
                0.9999785550470289,
                0.9998911031174278,
                0.9999921107393063,
                0.9999339478477957,
                0.9999885212278473,
                0.9999646437494746,
                0.9999852610215542,
                0.9999910603058475,
                0.9999724643057164
            ],
            [
                8.481106117357772e-05,
                5.144221751487201e-05,
                3.1201918779615236e-05,
                4.006370646616669e-05,
                3.535624224505904e-05,
                0.00023050679563691373,
                1.6701429796754513e-05,
                0.0002034270447124535,
                4.0063687367153544e-05,
                1.892515049199645e-05
            ],
            [
                1.8925148211888738e-05,
                1.1478770856576534e-05,
                4.785092782396909e-06,
                1.3007134661628471e-05,
                3.535624217997696e-05,
                1.4738987234550548e-05,
                1.670142778941753e-05,
                1.4738980209347228e-05,
                1.6701421824277888e-05,
                1.0129994600638342e-05
            ],
            [
                1.6701419848961534e-05,
                2.430023780560579e-05,
                1.8925143707303306e-05,
                1.300713310000479e-05,
                1.4738987234014356e-05,
                1.0129990977262395e-05,
                1.3007130004960144e-05,
                1.4738985476533587e-05,
                2.1444943294263477e-05,
                2.7535697602692443e-05
            ],
            [
                6.1441738659766924e-06,
                1.4738985462538942e-05,
                1.4738983709616027e-05,
                7.88926257993087e-06,
                1.6701429728948103e-05,
                8.93969630011598e-06,
                3.120192617752461e-05,
                1.3007123798453357e-05,
                1.0129989765595064e-05,
                5.422221552756645e-06
            ],
            [
                1.3007126888669986e-05,
                8.939697366793286e-06,
                5.422220258151224e-06,
                1.0129988561906404e-05,
                1.8925148203902373e-05,
                1.0129990969375998e-05,
                1.6701423801721013e-05,
                1.1478773596575768e-05,
                1.3007134664514934e-05,
                6.962256244819412e-06
            ],
            [
                2.753568451218037e-05,
                0.00013982208926149777,
                6.605216818444021e-05,
                3.535624224094318e-05,
                9.610240313954919e-05,
                9.610243756248196e-05,
                0.00010889692175333625,
                7.484620028266614e-05,
                2.753569434872079e-05,
                6.60521682190406e-05
            ],
            [
                8.481104116825446e-05,
                0.00048785709065252055,
                0.9993736658501976,
                0.00013982202350580785,
                6.605216810947268e-05,
                8.481107134469015e-05,
                0.00017952790107154517,
                0.00012339458873002304,
                5.1442225836439433e-05,
                8.481105136527973e-05
            ],
            [
                0.00026119024155646847,
                0.9999485577802758,
                0.0001233945450100987,
                0.0002611902761196836,
                0.0001584361590709057,
                8.481103103169929e-05,
                0.00043055704334740653,
                0.9997040430096922,
                8.481105132208768e-05,
                2.7535687794499397e-05
            ],
            [
                7.484622685281027e-05,
                3.120191124640566e-05,
                8.481104096833701e-05,
                0.000139822073104336,
                0.00010889688309980203,
                0.00013982207292327487,
                2.430023493052066e-05,
                9.610244865551484e-05,
                0.9999251537464834,
                4.539786319570692e-05
            ],
            [
                6.605216807535285e-05,
                0.00015843619676758863,
                0.0002959572005696571,
                0.0002959570255609853,
                9.610239189829757e-05,
                0.00037998452519865316,
                0.00015843619716638562,
                0.00033535002317206176,
                9.610238039975287e-05,
                9.610242622613922e-05
            ],
            [
                1.1478765382509808e-05,
                6.144172399580713e-06,
                4.7850962041547575e-06,
                3.2887494566352732e-06,
                1.1478773587200861e-05,
                1.1478769487840372e-05,
                1.4738976682001517e-05,
                6.144173134868593e-06,
                8.939693103418341e-06,
                7.889266346287306e-06
            ],
            [
                1.0129992179495674e-05,
                1.1478770856952364e-05,
                1.4738983710366698e-05,
                7.889266343575084e-06,
                1.3007126908307386e-05,
                8.93970056424046e-06,
                1.3007133111929193e-05,
                1.4738980206290928e-05,
                1.6701417851043295e-05,
                1.6701415859504925e-05
            ],
            [
                1.3007130008887624e-05,
                1.8925141456801038e-05,
                4.539785221495347e-05,
                1.4738976694012237e-05,
                4.785096775676685e-06,
                1.147877222485351e-05,
                1.1478768117893363e-05,
                2.75357041747467e-05,
                7.889266346129453e-06,
                8.939694168810643e-06
            ],
            [
                2.1444958635523312e-05,
                3.535624224711697e-05,
                3.1201922495312196e-05,
                8.481107072642668e-05,
                2.753570420840434e-05,
                4.5397890231261374e-05,
                3.1201907623673364e-05,
                7.484626255376766e-05,
                4.539788481668446e-05,
                3.1201922495312196e-05
            ],
            [
                1.0129987350147233e-05,
                6.9622570777680525e-06,
                1.3007131559390956e-05,
                1.0129989770662257e-05,
                7.88926070293116e-06,
                1.1478764017428212e-05,
                6.9622562478334885e-06,
                1.0129995806022926e-05,
                1.8925143722381014e-05,
                1.1478765380380096e-05
            ],
            [
                1.1478764015361142e-05,
                1.147877222879974e-05,
                1.892515499864894e-05,
                1.4738981963771067e-05,
                1.1478764012521528e-05,
                6.144175333635923e-06,
                4.222831933864508e-06,
                8.93969310367852e-06,
                1.0129992182443859e-05,
                3.7266406165319545e-06
            ],
            [
                6.144173133762157e-06,
                2.144494838924002e-05,
                1.89251527371985e-05,
                2.4300240709863792e-05,
                1.3007123808532309e-05,
                3.7266383946527958e-06,
                1.8925141468298646e-05,
                8.939695235487695e-06,
                1.473898372275276e-05,
                6.962255417721724e-06
            ],
            [
                3.535626329178694e-05,
                2.43002523073625e-05,
                6.605216034600967e-05,
                3.1201922517673344e-05,
                7.484620007247484e-05,
                2.7535694353228506e-05,
                2.7535694360340682e-05,
                5.144220134032976e-05,
                7.484626280425489e-05,
                8.481106115136466e-05
            ],
            [
                3.5356263294359356e-05,
                0.000108896934971121,
                9.610238029487741e-05,
                5.144221974590828e-05,
                3.120191134947124e-05,
                0.00013982213899228494,
                0.00017952794205130862,
                2.7535681215036362e-05,
                1.6701417857058377e-05,
                1.1478764015736973e-05
            ],
            [
                0.9998911030920142,
                0.9999885212264122,
                0.9999038975398054,
                0.9999417087071693,
                0.9990889487488028,
                0.9998601778777589,
                0.9999546021423926,
                0.9999785550517082,
                0.999915188959961,
                0.9999546021153924
            ],
            [
                1.0129992178648069e-05,
                1.3007134637543067e-05,
                7.889259758016858e-06,
                1.6701417845878833e-05,
                2.1444943256504422e-05,
                6.962257906132355e-06,
                4.0063691902155415e-05,
                1.3007133109847152e-05,
                4.539787880955349e-05,
                6.14417606112322e-06
            ],
            [
                0.00010889689594839689,
                8.481105114931948e-05,
                0.00037998447183712307,
                0.0001584362713472507,
                0.00012339458893469933,
                0.9953904268271044,
                5.829126543170052e-05,
                8.481101079623133e-05,
                9.610239164799482e-05,
                0.00010889690880650018
            ],
            [
                8.481102079395255e-05,
                3.1201903879941626e-05,
                0.00013982212314231113,
                8.481104104114645e-05,
                5.144220744545534e-05,
                3.535624225110421e-05,
                4.539786859541785e-05,
                0.00012339452958218115,
                6.605214444376839e-05,
                0.00010889690852763066
            ],
            [
                0.9997040428782291,
                0.9999038975865575,
                0.9999339478632779,
                0.9990889488987414,
                0.9988304899311776,
                0.9991959140747529,
                0.9998204719994085,
                0.9999687980963065,
                0.9999251537469833,
                0.9999251537910167
            ],
            [
                0.00015843627225779915,
                3.535625488616215e-05,
                6.605212880872268e-05,
                0.00029595706269133456,
                3.120192248396136e-05,
                4.222832064983518e-06,
                0.0005527785161375439,
                1.892514596944115e-05,
                5.14422135311195e-05,
                9.610240315213426e-05
            ],
            [
                3.535625489632318e-05,
                0.00010889689588977092,
                0.00010889693375581993,
                5.829127932776453e-05,
                0.00012339452967195143,
                7.484623608435025e-05,
                0.00017952796491681395,
                6.605213666925526e-05,
                9.610238012987338e-05,
                0.00013982212314231113
            ],
            [
                3.535623801523855e-05,
                4.539785229818853e-05,
                0.00013982205692479778,
                0.00010889689533520087,
                0.0001398221225299582,
                0.000261190336894108,
                7.484623604187633e-05,
                0.00010889689576459654,
                0.00010889688264030119,
                4.539789020153454e-05
            ],
            [
                0.999964643741007,
                0.9996200154388512,
                0.9995694429170972,
                0.9999785550466501,
                0.9999646437494355,
                0.9999724643187834,
                0.999948557774137,
                0.9999687980849645,
                0.9997965729820132,
                0.9999417087553831
            ],
            [
                0.00020342704288930856,
                3.120191134118513e-05,
                0.0001795278988173842,
                4.0063711244273545e-05,
                0.00015843625380709215,
                5.144223183228044e-05,
                6.605215238359538e-05,
                1.4738981951974817e-05,
                6.605212085976786e-05,
                5.144223199097187e-05
            ],
            [
                0.9998766053674818,
                0.9998204719729226,
                0.9999339478406267,
                0.9998415638451383,
                0.9984988175148447,
                0.9998601779352977,
                0.9999038975972017,
                0.9991959142480689,
                0.999948557786641,
                0.9968273174881378
            ],
            [
                8.93969522643028e-06,
                4.222835456903897e-06,
                7.889264464895484e-06,
                6.962257079059797e-06,
                6.144173859427486e-06,
                1.3007128456539035e-05,
                1.1478765381257036e-05,
                1.4738978450419574e-05,
                1.8925157235383214e-05,
                6.962254583886791e-06
            ],
            [
                1.670142980222277e-05,
                3.535626752263942e-05,
                4.539787400371717e-05,
                0.0001233945744583414,
                0.00012339463307117359,
                4.539787395384217e-05,
                9.610246059873997e-05,
                2.4300249402042293e-05,
                8.481102104878554e-05,
                1.892515724633005e-05
            ],
            [
                0.9999417087070607,
                0.9999485578049722,
                0.9999810748451412,
                0.9999785550542178,
                0.9999646437619992,
                0.999975699767968,
                0.9999832985722928,
                0.9999832985762449,
                0.9999339478636061,
                0.9999898700066148
            ],
            [
                5.1442225848041874e-05,
                0.00013982209006304925,
                0.00017952804944137106,
                0.9998204720350465,
                1.6701429791650804e-05,
                2.1444953515423628e-05,
                0.00010889694746162803,
                0.00017952796491681395,
                0.00015843621571159862,
                0.00023050671269041694
            ],
            [
                3.120190390445942e-05,
                4.006367778937585e-05,
                3.120191506210258e-05,
                4.539786315574087e-05,
                0.00010889688255473898,
                0.9902915223007898,
                3.535623803067304e-05,
                6.605216033495677e-05,
                2.4300249391876106e-05,
                1.1478768120315386e-05
            ],
            [
                0.0008040861227880982,
                4.5397879411686836e-05,
                6.605217600172698e-05,
                0.0007096705320600623,
                3.535626326580554e-05,
                0.0001233946186127645,
                0.0007096705633907833,
                0.00017952802800723518,
                8.481108141090879e-05,
                0.00023050665781978641
            ],
            [
                5.144221358089769e-05,
                5.14422380702763e-05,
                5.144220115918209e-05,
                2.430023782222529e-05,
                8.481104116825446e-05,
                5.8291286200732054e-05,
                8.481102063969529e-05,
                0.00013982212309145126,
                0.9982992774664149,
                0.00033535005408127987
            ],
            [
                2.4300234917879235e-05,
                0.00012339454287177087,
                3.53562464244607e-05,
                3.535625062547117e-05,
                2.1444953516281788e-05,
                2.1444958622572883e-05,
                1.670142780381727e-05,
                4.006367767073945e-05,
                0.998967768863609,
                0.9770226318880315
            ],
            [
                0.00012339455975396863,
                8.481103099344347e-05,
                9.610244912256048e-05,
                3.1201907643310305e-05,
                4.00636969277356e-05,
                0.00017952790042899172,
                0.00010889694764542847,
                7.484622691815474e-05,
                2.7535691082027735e-05,
                4.222832023934895e-06
            ],
            [
                9.610242584858743e-05,
                0.0001584361957210347,
                4.006368257593249e-05,
                4.006370169826257e-05,
                5.8291251531398806e-05,
                4.5397868609620665e-05,
                8.481101082523169e-05,
                6.605216029987583e-05,
                7.484625365166955e-05,
                3.5356267533443565e-05
            ],
            [
                0.9982992779348535,
                5.144223809160982e-05,
                6.605217603296344e-05,
                5.144223197188398e-05,
                0.00010889689486619308,
                0.0002611903301608148,
                4.0063701710213663e-05,
                0.00029595708887718893,
                5.8291286217696064e-05,
                2.430023782222529e-05
            ],
            [
                5.8291272389486416e-05,
                6.605212098759701e-05,
                0.00015843619710645076,
                2.4300240711101413e-05,
                4.539789015265042e-05,
                0.9994472212877941,
                0.0002611902567481713,
                0.9997694932330828,
                0.00013982207330370664,
                0.0001584362340055486
            ],
            [
                4.539787928815536e-05,
                0.9959298613535212,
                1.300712844792697e-05,
                3.535626328175451e-05,
                0.00012339460351878335,
                0.997527377411327,
                8.4811031131658e-05,
                2.753568450657077e-05,
                0.00010889693468274447,
                0.9989677690868899
            ],
            [
                7.88926164299515e-06,
                1.892514369573685e-05,
                1.3007130004439633e-05,
                8.939698431682001e-06,
                1.1478764010141264e-05,
                5.4222176733598895e-06,
                1.4738981953476161e-05,
                1.3007131561804229e-05,
                1.1478764016446877e-05,
                4.78509677368347e-06
            ],
            [
                0.9996200154358553,
                0.999988521229157,
                0.9995121428960074,
                0.9999646437579378,
                0.9999339478242194,
                0.9999151889188952,
                0.9999687980851936,
                0.9999038975629941,
                0.9999898700078654,
                0.9999417087557465
            ],
            [
                2.902311984176362e-06,
                1.892515498859713e-05,
                1.012998856015592e-05,
                1.4738981958409139e-05,
                1.4738978434119307e-05,
                1.1478773588745944e-05,
                1.0129993389652346e-05,
                1.8925154972624393e-05,
                6.962253757485831e-06,
                3.726640171686931e-06
            ],
            [
                0.00017952800796530176,
                9.610246049386444e-05,
                0.00017952796480188565,
                0.00023050674040408104,
                7.48462358823269e-05,
                0.9982992778378057,
                0.00012339455975396863,
                9.610239184236401e-05,
                4.539785776065476e-05,
                5.144219522247965e-05
            ],
            [
                0.0002611904288575349,
                0.0003799845632161223,
                5.144223194306502e-05,
                0.0001584362349852524,
                9.61024488107306e-05,
                5.8291272379732106e-05,
                7.484620921906373e-05,
                0.0002305068192995084,
                5.1442238107329257e-05,
                0.00013982202326778375
            ],
            [
                2.430024067255831e-05,
                1.3007125356006484e-05,
                1.1478772222347966e-05,
                1.3007126900594382e-05,
                6.605212094194375e-05,
                7.889264461637948e-06,
                1.0129995805027913e-05,
                1.670142777884556e-05,
                1.4738981968462759e-05,
                4.785096205260165e-06
            ],
            [
                0.9995694429975608,
                0.9996200154335226,
                0.9997694932638214,
                0.9994472213413375,
                0.07585817218654307,
                0.998967768945959,
                0.9996646500247723,
                0.9988304898506717,
                0.00048785712990644125,
                0.08509905370824053
            ],
            [
                2.7535700911558485e-05,
                1.3007123801954964e-05,
                1.4738980205164923e-05,
                1.0129994595718555e-05,
                7.88926257993087e-06,
                7.889261635360753e-06,
                1.4738980199481274e-05,
                1.8925148216088467e-05,
                2.4300243582562758e-05,
                5.8291258398425644e-05
            ],
            [
                6.605213671058347e-05,
                2.7535681222849733e-05,
                5.8291251564902706e-05,
                0.00015843627228776658,
                6.605214461148412e-05,
                0.0001398220728439335,
                6.60521760632388e-05,
                5.144221974590828e-05,
                0.9999251537738104,
                8.481102094265656e-05
            ],
            [
                2.4300246501849726e-05,
                2.753569432067276e-05,
                8.481107150203266e-05,
                0.0002611903898713001,
                5.8291279378656556e-05,
                4.006369212397934e-05,
                0.00017952802913301046,
                0.00026119039864890215,
                3.5356267527012524e-05,
                0.0001088969089998075
            ],
            [
                0.9997694933765741,
                0.9996646499752961,
                0.9990889488224476,
                0.999769493289979,
                0.9996200154000157,
                0.9999038975975316,
                0.999820471949822,
                0.9998204719518072,
                0.9992903295628816,
                0.9995121427739314
            ]
        ]
    },
    {
        "q_id": "10466_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            65,
            66,
            67,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            2,
            11,
            12,
            25,
            26,
            56,
            64,
            68
        ],
        "rewards": [
            [
                0.9995121429393768,
                0.9998415637641733,
                0.9999724643089025,
                0.9998911031167164,
                0.9988304896000427,
                0.9999038975965026,
                0.9997040427954434,
                0.999903897607966,
                0.9997694933677074,
                0.9998766054104226
            ],
            [
                0.9999869928684346,
                0.9998766054692311,
                0.9999852610162715,
                0.9999646437577155,
                0.9999251537906448,
                0.9999599363078239,
                0.9999599362982634,
                0.9999810748427356,
                0.9999687980849072,
                0.9999724643187476
            ],
            [
                0.997199073602555,
                0.9998204720768021,
                0.9993736659781195,
                0.9999785550567011,
                0.9994472212567616,
                0.9999646437408634,
                0.9997694933684385,
                5.422219615967477e-06,
                3.726640172503764e-06,
                0.9998601779426439
            ],
            [
                0.9990889487604059,
                0.9996200155601777,
                0.9999599363221412,
                5.043472278227948e-07,
                0.00017952805093282765,
                0.00013982212390520934,
                0.9990889486592105,
                8.481105123878872e-05,
                5.144222590979679e-05,
                5.043472879525233e-07
            ],
            [
                0.9989677690499166,
                7.338211554725124e-07,
                0.939913347090917,
                0.9999785550413666,
                2.2603251062147097e-06,
                0.9840936114662641,
                1.3709575337016483e-06,
                2.2603251061849014e-06,
                6.475949526003845e-07,
                3.927860597935108e-07
            ],
            [
                2.7535687797204028e-05,
                1.2098662604192665e-06,
                5.715003788993679e-07,
                1.6373772528636992e-07,
                1.4449795205457127e-07,
                5.04347468309184e-07,
                5.71500515151976e-07,
                5.043475885657239e-07,
                4.450848927637999e-07,
                1.1253517547010071e-07
            ],
            [
                0.9914225142457329,
                0.9978172831418803,
                0.9933071488837791,
                8.93969630333567e-06,
                0.0001233946332632821,
                0.996827317214214,
                5.422217030614265e-06,
                0.9982992779148905,
                0.9984988180603264,
                0.9988304897357605
            ],
            [
                0.00013982202394727125,
                3.535625912717466e-05,
                1.0129995809597604e-05,
                5.422217030032353e-06,
                0.9999251537906645,
                9.610241478352397e-05,
                1.6701427808495672e-05,
                0.00010889687006423939,
                5.422217030495909e-06,
                0.9998204719484429
            ],
            [
                1.5534977545603963e-06,
                4.4508505193791187e-07,
                3.7266379513434106e-06,
                3.05902263389638e-07,
                2.2603234895053587e-06,
                1.7603438428564603e-06,
                6.144175333401224e-06,
                4.4508526417298334e-07,
                1.3709578605243332e-06,
                1.3709573702647743e-06
            ],
            [
                0.985936372672656,
                0.9995121427679141,
                0.9998766054398672,
                0.9992903297092566,
                0.9999038975622536,
                0.9998911030907721,
                1.3709570434122812e-06,
                0.999933947878971,
                0.9997040429375756,
                0.9999151889384377
            ],
            [
                0.9999910603015664,
                0.9999921107336526,
                0.9999967112509347,
                0.9999832985781563,
                0.9999921107374146,
                0.999997438716568,
                0.9999885212359796,
                0.999991060304762,
                0.9999930377462405,
                0.9999962733616046
            ],
            [
                0.9999417087484309,
                0.9999339478396116,
                0.9998911030648656,
                0.9999038975392328,
                0.9997694932851969,
                0.9999251537370999,
                0.999664649850791,
                0.9999599363125995,
                0.9999687980997938,
                0.9999485577924795
            ],
            [
                0.9999646437408619,
                0.9999417087205802,
                0.9999646437619387,
                0.9999852610180298,
                0.999993037740431,
                0.999991060299434,
                0.9999810748540167,
                0.9999724643187554,
                0.9999930377437508,
                0.9999724643121888
            ],
            [
                0.9995694430140943,
                1.3007125361755747e-05,
                7.889265406567165e-06,
                0.9995121427651894,
                0.9991959140495459,
                1.6701421842566163e-05,
                1.5534971989907999e-06,
                0.999891103116832,
                0.9998415638401937,
                0.9525741293468758
            ],
            [
                0.9998415637831289,
                0.9902915215934283,
                0.9994472213848153,
                0.999738809784176,
                0.9890130549709748,
                1.6701427815999337e-05,
                0.0006263340993768288,
                4.0063696959216535e-05,
                0.00010889696095511661,
                0.9999038975621508
            ],
            [
                0.999995214904935,
                0.9999724642990586,
                0.9999251537460472,
                0.9999885212359799,
                0.9999724642990595,
                0.9999869928699856,
                0.9999898700114358,
                0.9999687980737492,
                0.9999921107345936,
                0.9999687980811937
            ],
            [
                0.9999970976890528,
                0.9999982396565767,
                0.9999898700053982,
                0.9999938558261305,
                0.9999952149049349,
                0.9999938558224685,
                0.9999921107336527,
                0.9999945777784449,
                0.9999980052700407,
                0.9999984465022455
            ],
            [
                0.9999945777784448,
                0.9999974387168733,
                0.9999930377429206,
                0.9999945777810303,
                0.9999967112493665,
                0.9999977396754327,
                0.9999869928653335,
                0.9999921107374145,
                0.9999974387177893,
                0.9999898700090213
            ],
            [
                8.315277302059155e-07,
                4.006369217003476e-05,
                0.9990889489954332,
                1.5534984953298217e-06,
                8.939699499627926e-06,
                0.00017952800818209834,
                4.539787944306515e-05,
                0.9997388096616391,
                0.9465966739665495,
                0.9995694429124753
            ],
            [
                0.9989677691784831,
                0.9840936091337292,
                0.99829927731857,
                0.9980732651085497,
                0.9980732655694966,
                0.9978172834466439,
                0.9924227574785333,
                0.9978172832199728,
                0.9994472212546711,
                0.9875683491353803
            ],
            [
                0.9999977396748938,
                0.9999989322973845,
                0.9999986290423029,
                0.9999984465028011,
                0.999998239656367,
                0.999994577780384,
                0.9999945777784449,
                0.9999910603058276,
                0.9999967112497586,
                0.9999970976873229
            ],
            [
                0.998674977383294,
                0.9997965729297074,
                0.9046505402422645,
                0.8519527944504227,
                0.9796676464347296,
                0.9975273773033626,
                0.9990889489909298,
                0.9947798749158082,
                0.9996646497701029,
                0.9991959141477551
            ],
            [
                3.4663270375278157e-07,
                2.3823685318675746e-07,
                3.0590233632400716e-07,
                5.043475284350422e-07,
                8.315282258956806e-07,
                0.00015843621509150382,
                2.5612831258059426e-06,
                5.71500651413193e-07,
                5.043474081902134e-07,
                4.450849988733914e-07
            ],
            [
                0.9999724643121888,
                0.9999687980886309,
                0.9999599362982671,
                0.9999756997563736,
                0.9999852610127579,
                0.9999646437324408,
                0.9999646437450808,
                0.99994170874144,
                0.9999687980886323,
                0.9999756997650636
            ],
            [
                5.715005151550947e-07,
                2.699577774585891e-07,
                2.3823690999236795e-07,
                1.8553916819032217e-07,
                1.4449798650551755e-07,
                1.1253517547010071e-07,
                9.422447061953531e-07,
                1.6373764721072816e-07,
                3.927862470899887e-07,
                1.6373770576776313e-07
            ],
            [
                0.9999885212332431,
                0.9999910603026316,
                0.9999898700114356,
                0.9999910603068939,
                0.9999921107336528,
                0.9999910603047625,
                0.9999885212277698,
                0.9999952149043646,
                0.9999962733611603,
                0.9999945777816767
            ],
            [
                3.7266401725681614e-06,
                5.043473480730849e-07,
                1.0677028700320085e-06,
                4.450848927599543e-07,
                6.475945666033422e-07,
                1.760343422832764e-06,
                2.260324028255194e-06,
                6.962255419475714e-06,
                5.043475885674441e-07,
                2.2603234895053587e-06
            ],
            [
                7.889266345770692e-06,
                5.043472278312808e-07,
                3.288749848276705e-06,
                2.2603251061849014e-06,
                1.6701417860795016e-05,
                0.9997694932849286,
                1.3007134663521234e-05,
                1.7603425837606927e-06,
                7.48462449477841e-05,
                1.7603434231097403e-06
            ],
            [
                0.9999945777803838,
                0.9999952149032237,
                0.9999980052707541,
                0.9999869928730871,
                0.9999852610127591,
                0.9999938558261308,
                0.9999810748472489,
                0.9999921107383553,
                0.9999852610127589,
                0.9999921107336528
            ],
            [
                1.1478768124553928e-05,
                4.22283545795623e-06,
                0.9997040430069108,
                8.315278294072958e-07,
                0.999796573002346,
                1.0129993394664264e-05,
                0.9997040430067387,
                0.9996646498911933,
                0.9997040428300853,
                1.6701417860795016e-05
            ],
            [
                0.0002305066868882743,
                0.9984988178709958,
                0.9975273772648859,
                0.9999151889889952,
                0.9995121429412501,
                4.4508510499849186e-07,
                1.2098652508287273e-06,
                0.991422514578368,
                0.9999038975850585,
                0.9796676476961953
            ],
            [
                2.4300232038993178e-05,
                5.715005832853093e-07,
                1.8553905760024476e-07,
                7.338211554725124e-07,
                8.315283250305684e-07,
                9.422445938917108e-07,
                2.1024331597152624e-07,
                8.315282258900085e-07,
                8.315278293838516e-07,
                3.466327037539638e-07
            ],
            [
                0.9996646497702103,
                0.99919591395765,
                0.9998204720127244,
                0.9999646437492894,
                0.9999038975506768,
                0.9998911030778062,
                0.9997694931756702,
                0.9996646497307152,
                0.9999038976080374,
                0.9995694429098825
            ],
            [
                0.9999921107374147,
                0.999995777164542,
                0.9999974387187053,
                0.9999990577549568,
                0.9999967112521109,
                0.9999957771650455,
                0.9999945777797377,
                0.999997097687669,
                0.9999977396757023,
                0.9999970976873229
            ],
            [
                5.422217030209884e-06,
                8.315279285149107e-07,
                4.539787943778038e-05,
                2.7535697661092444e-05,
                6.144176065314267e-06,
                5.144219518243253e-05,
                0.0001584361971364182,
                6.9622537545097495e-06,
                8.315284241257637e-07,
                0.0001233945893781646
            ],
            [
                0.9999546021205493,
                0.9999724643154692,
                0.9999885212359799,
                0.999948557798614,
                0.9999417087205802,
                0.9999885212305066,
                0.9999687980849222,
                0.9999485577679615,
                0.9999756997592703,
                0.9999339478238459
            ],
            [
                0.9991959141474744,
                0.9997388095980908,
                0.9997040429013149,
                0.9996200154712528,
                0.9997040428655193,
                0.999975699753483,
                0.9998415637831796,
                0.9999038975621404,
                0.9998415637643762,
                0.9990889489905589
            ],
            [
                0.9999485577679585,
                0.9999910603015648,
                0.9999938558253982,
                0.9999756997563707,
                0.9999938558253983,
                0.9999151889283289,
                0.9999687980960662,
                0.9999546021367712,
                0.9999724642990556,
                0.9999869928668836
            ],
            [
                0.9989677689188291,
                0.9914225156000332,
                6.962253759043525e-06,
                0.9959298621859491,
                0.9875683465856102,
                0.9988304896026265,
                0.00015843623521577093,
                0.998299277275284,
                4.539787398489018e-05,
                0.9997040428307052
            ],
            [
                8.93970056668775e-06,
                2.5612812946681295e-06,
                1.1478772230198667e-05,
                7.338209805170655e-07,
                2.144495608105136e-05,
                4.785094494576774e-06,
                6.144177531660828e-06,
                4.539787403443489e-05,
                2.7535694377870696e-05,
                7.338208055613267e-07
            ],
            [
                0.9914225148001249,
                0.9740426432731464,
                0.9770226279573947,
                0.9740426415777507,
                4.2228319341064674e-06,
                1.2098652508287273e-06,
                3.7266406160845606e-06,
                7.3382080556433e-07,
                1.5534971989809095e-06,
                1.994729245842213e-06
            ],
            [
                0.9999546021097268,
                0.9995694430137312,
                0.0001398221401234088,
                0.9998601778926324,
                0.9996200155608962,
                1.3007126911335805e-05,
                5.715002426475718e-07,
                0.9999646437366505,
                1.2098652508056196e-06,
                0.9998766054105033
            ],
            [
                0.9989677691639578,
                0.9999339478710831,
                0.9992903297050462,
                3.72664061671159e-06,
                4.785092783415276e-06,
                1.5534979397500702e-06,
                6.144173137014406e-06,
                0.9994472213215281,
                0.9959298622406892,
                0.9998204720768021
            ],
            [
                0.9999832985721844,
                0.9999724643089034,
                0.9999832985821392,
                0.9999724643089034,
                0.9999898700078133,
                0.9999687980960721,
                0.9999810748585316,
                0.9999417087275401,
                0.999975699762166,
                0.9999921107392955
            ],
            [
                2.75356976629957e-05,
                0.9046505325302034,
                0.9924227577901839,
                0.8933093968230772,
                0.9902915236080654,
                0.0004878571065754771,
                0.9997388096597012,
                6.605214461148412e-05,
                8.481107161556607e-05,
                0.9959298623445068
            ],
            [
                0.9999952149072165,
                0.9999930377437506,
                0.9999921107336528,
                0.9999930377420906,
                0.999983298576167,
                0.9999970976876689,
                0.999988521229139,
                0.9999952149037942,
                0.9999832985761665,
                0.9999910603058276
            ],
            [
                3.466325384661554e-07,
                1.444980381819277e-07,
                5.715003789017068e-07,
                3.059021175247079e-07,
                3.4663274507287414e-07,
                4.450848927621807e-07,
                2.1024339116134898e-07,
                3.0590237279032884e-07,
                2.902311639126627e-06,
                3.927862470757885e-07
            ],
            [
                0.9998601778927362,
                0.9997694932848749,
                0.9999546021205469,
                0.9997388096597697,
                0.9999687980997913,
                0.9999687980960733,
                0.9995694430156976,
                0.9998204719698691,
                0.9999038975621306,
                0.9998766054399318
            ],
            [
                6.144177530146464e-06,
                8.315282258956806e-07,
                4.2228349546493465e-06,
                1.7603434230537046e-06,
                1.2098659719441482e-06,
                6.962256249517824e-06,
                4.785093923603471e-06,
                6.962253759581752e-06,
                4.222833947774596e-06,
                9.422442569028803e-07
            ],
            [
                0.9999832985801471,
                0.9999810748540158,
                0.9997040429019436,
                0.9998911031038409,
                0.9995121428799708,
                2.9023119850527192e-06,
                0.9999810748449929,
                0.9999599362934974,
                0.9999546021421849,
                0.9997388095976653
            ],
            [
                5.043474683204221e-07,
                8.939696302051047e-06,
                3.726639728262097e-06,
                4.222834451012227e-06,
                7.889263525534328e-06,
                1.2098656834723998e-06,
                0.7981867849406659,
                4.785092783149804e-06,
                0.8354835452961425,
                3.120191880118183e-05
            ],
            [
                0.99919591395924,
                0.0001584361600736609,
                0.9978172839714861,
                0.0004878571122237275,
                1.4738983728490028e-05,
                0.9995121427655299,
                1.5534973841705173e-06,
                2.902312677104321e-06,
                0.9770226304244967,
                3.466325797888292e-07
            ],
            [
                0.9999785550592568,
                0.9999945777810303,
                2.260324567302214e-06,
                0.9999756997650686,
                0.9999417087275401,
                0.9999810748517607,
                0.9999546021151565,
                2.5612825159421147e-06,
                0.9999756997650643,
                0.9999687980849168
            ],
            [
                0.9999970976873229,
                0.9999945777810304,
                0.9999945777790913,
                0.9999974387180947,
                0.9999970976890529,
                0.9999921107336528,
                0.9999898700126435,
                0.9999952149049349,
                0.9999945777803839,
                0.9999930377429206
            ],
            [
                0.9999339478395968,
                0.9999724643056231,
                0.9999869928746374,
                0.9999251537460276,
                0.9999599363078219,
                0.9999417087414281,
                0.9999646437535129,
                0.9999599363030484,
                0.9999687980811937,
                0.9999869928715365
            ],
            [
                7.338209805224048e-07,
                0.9998415637831543,
                1.1478769492893215e-05,
                8.93969310647542e-06,
                2.902310947208574e-06,
                0.9998601779758696,
                7.889261644501938e-06,
                1.2098661161982042e-06,
                5.42222090882208e-06,
                2.3823696679230424e-07
            ],
            [
                0.9999974387187053,
                0.999933947871162,
                0.9999599362887179,
                0.9999810748562726,
                0.9998911030648276,
                0.999993855823201,
                0.9999417087205802,
                0.9999646437366535,
                0.9999852610197869,
                0.9999952149049348
            ],
            [
                4.785095635413826e-06,
                0.9947798752277458,
                1.5534971989809095e-06,
                7.88926634687567e-06,
                3.288750633569722e-06,
                0.999972464302337,
                0.9997965729539883,
                1.7603432131375548e-06,
                0.9996200155155605,
                2.260325105981383e-06
            ],
            [
                0.9971990729080186,
                0.9992903297057892,
                0.9971990736929487,
                0.9971990725984685,
                0.9999151889788945,
                0.9988304894689486,
                0.9953904275086815,
                0.9998766053811413,
                0.9995121427663813,
                0.998498817892808
            ],
            [
                0.9999885212291393,
                0.9999945777823229,
                0.9999417087136605,
                0.999988521231875,
                0.9999038975850983,
                0.9999930377412606,
                0.9999852610145158,
                0.999964643736649,
                0.9999852610162724,
                0.9999921107392958
            ],
            [
                0.9999417087066884,
                0.9997694932575167,
                0.9997965729541156,
                0.9998911031038012,
                0.9997388095973233,
                0.9999038975392328,
                4.222833947774596e-06,
                0.9998601779260005,
                0.9988304897324967,
                0.9992903295380728
            ],
            [
                0.9959298623596076,
                0.957912268029248,
                0.9986749778354264,
                4.450852111120808e-07,
                0.9997694932299439,
                0.9993736658260779,
                5.144221975938208e-05,
                8.939695237504067e-06,
                1.0677029973056687e-06,
                4.006371123640331e-05
            ],
            [
                5.043472278280699e-07,
                1.7603438428740716e-06,
                3.059023363221292e-07,
                1.2098656835136636e-06,
                5.043476486902204e-07,
                3.927862002625787e-07,
                3.927862002641863e-07,
                1.0677029973158649e-06,
                2.699577774579753e-07,
                3.466325384661554e-07
            ],
            [
                0.9999810748472484,
                0.9999810748517622,
                0.9999646437366568,
                0.9999785550515891,
                0.9999251537638378,
                0.9999251537995529,
                0.9999339478553573,
                0.9999485577924853,
                0.9998911030909717,
                0.9999546021313795
            ],
            [
                1.473898899846585e-05,
                1.1478772229551402e-05,
                0.9997040428657001,
                0.9997040428657001,
                0.9859363706968794,
                0.9940889324544367,
                0.8354835391516133,
                0.9940889313736041,
                0.9999810748562713,
                0.9996200155146981
            ],
            [
                0.9999687980774709,
                0.9999599363221565,
                0.9999417087414357,
                0.9998911030519807,
                0.9999339478790182,
                0.9999038975621809,
                0.9999417087275605,
                0.9996200154276969,
                0.9999339478475049,
                0.9999038975621907
            ],
            [
                0.9999898700126436,
                0.9999756997476821,
                0.9999938558275958,
                0.9999885212305071,
                0.9999869928684358,
                0.9999957771675623,
                0.9999945777829694,
                0.999978555049031,
                0.9999910603004992,
                0.9999832985841293
            ],
            [
                1.2098658277264215e-06,
                1.760342583722268e-06,
                8.315279285251204e-07,
                8.3152792852928e-07,
                3.2887486726945097e-06,
                3.2887486726287055e-06,
                0.7057850402140659,
                1.370956879949281e-06,
                1.0129988562901417e-05,
                3.2887482811908074e-06
            ],
            [
                0.9999952149060758,
                0.9999930377404309,
                0.999996273358939,
                0.9999970976880149,
                0.9999974387168733,
                0.9999977396751633,
                0.999993855823201,
                0.9999986290427931,
                0.9999885212359804,
                0.9999898700114359
            ],
            [
                1.8925143726890553e-05,
                5.1442195201520414e-05,
                1.994729483705484e-06,
                1.4738980212644815e-05,
                2.561283432005142e-06,
                0.0005527785375548776,
                6.1441760667392215e-06,
                0.9993736657479986,
                8.315278294038928e-07,
                0.9997388096907535
            ],
            [
                0.9964063975694785,
                0.999876605469328,
                0.9990889486612768,
                0.9980732649319168,
                0.9993736658266609,
                0.9996200155147755,
                0.9988304900112754,
                0.9959298613421956,
                0.9999151889587689,
                0.999876605395702
            ],
            [
                7.338210679949506e-07,
                6.605213675431452e-05,
                5.715003107689177e-07,
                3.2887482807182155e-06,
                1.2098659719601033e-06,
                1.0677029973114952e-06,
                3.288750633545794e-06,
                8.315278294038928e-07,
                1.670142781636389e-05,
                1.3709567165530083e-06
            ],
            [
                0.9999957771650454,
                0.9999417087484351,
                0.9999898700090204,
                0.9999646437535068,
                0.9999970976873229,
                0.9999967112521109,
                0.9999687980849281,
                0.9999756997679594,
                0.9324533032291502,
                0.9998911030389624
            ],
            [
                0.9999151889184954,
                0.9999921107345934,
                0.9999832985701952,
                0.9999930377437511,
                0.9999724642990675,
                0.999993855822469,
                0.9999869928730875,
                0.999992110739296,
                0.9999967112521109,
                0.9999756997534794
            ],
            [
                4.222835457794923e-06,
                9.42244818532859e-07,
                6.144176798870286e-06,
                1.3709572068354007e-06,
                8.315284241560147e-07,
                1.3007125362323574e-05,
                1.8925141468298646e-05,
                0.9859363748808765,
                6.962259569003389e-06,
                1.4738976686344678e-05
            ],
            [
                0.9998911030650874,
                0.9997694931751738,
                0.9998911031297456,
                0.9998204719912641,
                0.999820471970039,
                0.999738809753405,
                0.9996200154249663,
                0.9995121428819861,
                0.9982992775276874,
                0.9999546021313646
            ],
            [
                0.9999417087136441,
                0.9998766053957809,
                7.338211554725124e-07,
                0.9998766054693765,
                0.9995694429123752,
                0.9995694429108846,
                0.9999646437492923,
                0.9997040427596564,
                0.999903897596573,
                0.9993736659006232
            ],
            [
                0.9998204719483123,
                0.9996200155151292,
                0.9997388097531315,
                0.9994472212546711,
                0.9998601779759286,
                0.9995121429392633,
                0.9975273764057646,
                0.9997694931749592,
                0.9994472212548321,
                0.9999724643121858
            ],
            [
                6.605215248979934e-05,
                1.3709578605617394e-06,
                1.99473067264854e-06,
                3.7266383955611403e-06,
                1.0129987344914205e-05,
                8.481107149277722e-05,
                7.338212429504183e-07,
                1.5534981249291695e-06,
                0.0006263340650918633,
                2.9023119851266288e-06
            ],
            [
                0.9999599363221545,
                0.9997965729540327,
                0.9998415637265896,
                0.9997388097219424,
                0.9999599363078259,
                0.9999151889283604,
                0.9999417087484088,
                0.9999485577863566,
                0.9997694932300513,
                0.9997040429722862
            ],
            [
                0.9986749773678891,
                0.9988304895867156,
                0.9998204719484429,
                0.9980732655553928,
                0.9989677688011864,
                0.9978172831849833,
                0.9947798745095637,
                0.9984988175261871,
                0.9984988177066183,
                0.9964063967557931
            ],
            [
                0.9859363743514201,
                0.9933071489735557,
                0.9968273166803573,
                0.9968273172333593,
                0.9525741308615412,
                0.9940889321260825,
                0.9859363698187564,
                0.9324533116759811,
                0.9740426435557124,
                0.7772998560157665
            ],
            [
                0.9999687980997926,
                0.9999852610110012,
                0.9999724643089034,
                0.9999810748517602,
                0.9999724643056213,
                0.999988521229138,
                0.9999945777797374,
                0.9999724643056201,
                0.9999898700066053,
                0.9999938558261307
            ],
            [
                0.9999987901340281,
                0.9999977396751633,
                0.999998790134605,
                0.9999885212332433,
                0.9999967112505427,
                0.9999945777816767,
                0.9999984465016899,
                0.9999977396762411,
                0.99998107485853,
                0.9999724643023485
            ],
            [
                0.9999756997476821,
                0.9999832985721836,
                0.9999810748449944,
                0.9999885212291382,
                0.9999599362982768,
                0.9999957771680656,
                0.9999921107355337,
                0.999992110738355,
                0.9999945777784449,
                0.9999982396565767
            ],
            [
                0.9999957771665555,
                0.999993855823201,
                0.9999885212332448,
                0.9999938558275957,
                0.9999945777784449,
                0.9999962733593831,
                0.9999967112493665,
                0.9999952149037942,
                0.9999921107374148,
                0.9999339478396377
            ],
            [
                0.9999962733589389,
                0.9999980052707541,
                0.9999921107364741,
                0.999996273358939,
                0.999998239656367,
                0.9999869928715365,
                0.9999832985721847,
                0.9999987901338838,
                0.9999982396567868,
                0.9999980052707542
            ],
            [
                0.9999485577679585,
                0.9999339478238412,
                0.9998415638399517,
                0.9997388096912398,
                0.9999785550439183,
                0.9999756997679602,
                0.9999724642990556,
                0.9998601778926955,
                0.9999339478553327,
                0.999925153746002
            ],
            [
                1.760342793583908e-06,
                7.889260704631679e-06,
                7.484622722255103e-05,
                0.9996200154701583,
                5.043474683204221e-07,
                7.484622715666203e-05,
                0.9992903294528732,
                2.4300246520590875e-05,
                0.0001584361974821959,
                6.144176798870286e-06
            ],
            [
                0.9997388097842443,
                0.9999038976194807,
                0.9988304897384802,
                0.994779873160252,
                0.9994472214539232,
                0.9989677691639578,
                0.9989677690583195,
                0.9995121428235167,
                0.9999251537460472,
                0.9992903297095043
            ],
            [
                0.9999810748472494,
                0.9999930377445804,
                0.9999938558232009,
                0.9999898700078134,
                0.9999945777829694,
                0.9999952149055052,
                0.9999938558261307,
                0.9999910603004991,
                0.999996273360272,
                0.9999810748517607
            ],
            [
                0.977022631929847,
                0.9959298632316747,
                0.9796676480672146,
                0.9947798751890559,
                0.9986749778542203,
                0.9975273772826886,
                0.9820137906958956,
                0.9940889304487397,
                0.993307147849801,
                0.9953904284594707
            ],
            [
                0.9999898700102282,
                0.9999599363221504,
                0.9999038975850886,
                0.9999756997505795,
                0.9998204720340175,
                0.9999646437450858,
                0.9999646437408619,
                0.9999646437492953,
                0.9999417087553126,
                0.9999417087345
            ],
            [
                0.9999756997563736,
                5.422218323231539e-06,
                0.9796676442828174,
                0.9993736658948665,
                0.9953904271369122,
                0.9999852610197869,
                0.00015843617834455259,
                0.9998415637831796,
                0.9999038975392328,
                0.9859363741060624
            ],
            [
                0.9997694932852572,
                0.9996200155155605,
                1.2098652508347793e-06,
                0.9999485577679742,
                0.0002611902101851108,
                0.999512142822353,
                0.002472623453537007,
                0.9998415638209662,
                0.99956944286072,
                2.7535697653779924e-05
            ],
            [
                7.484621829540844e-05,
                0.9982992776905538,
                0.994088930298244,
                0.9875683519709982,
                0.999796573050825,
                6.962254589617333e-06,
                0.9964063970884371,
                4.5397884829235786e-05,
                0.9964063970267437,
                0.9988304897357605
            ],
            [
                6.605216037820727e-05,
                0.9984988176978934,
                6.60521286981937e-05,
                0.00012339454529556814,
                8.939698434153684e-06,
                5.422219616026655e-06,
                1.0129990978644356e-05,
                4.450852641717689e-07,
                0.9995694430127166,
                8.48110816015709e-05
            ],
            [
                0.999989870005401,
                0.9999869928668843,
                0.9999852610197857,
                0.999992110740236,
                0.999978555054148,
                0.9999885212346117,
                0.999985261016272,
                0.999941708734492,
                0.9999938558232011,
                0.9999785550515917
            ],
            [
                0.9997965730267956,
                0.9996646498913104,
                0.9996200155607524,
                0.999769493367486,
                1.2098653950606901e-06,
                0.9995694429621763,
                0.9986749773688134,
                0.9999038975621508,
                0.9997694933678146,
                1.553498495338299e-06
            ],
            [
                0.9999957771655487,
                0.9999962733593833,
                0.9999986290429567,
                0.9999962733593831,
                0.9999962733616043,
                0.9999952149066461,
                0.9999852610197864,
                0.9999952149066462,
                0.9999991684719723,
                0.999997097686977
            ],
            [
                8.315278294001114e-07,
                1.1478764019996392e-05,
                2.4300252306390083e-05,
                7.88926164518358e-06,
                1.6701425819994037e-05,
                1.3709575337016483e-06,
                1.3709573702647743e-06,
                1.147877086020957e-05,
                5.715003107655392e-07,
                0.8670357649558007
            ],
            [
                0.9999785550592574,
                0.999948557798626,
                0.9999952149037941,
                0.9999832985721844,
                0.9999687980849118,
                0.9999546021205518,
                0.9999930377454103,
                0.9999687980997901,
                0.9999952149072167,
                0.9999869928653335
            ],
            [
                0.999996273358939,
                0.9999930377462403,
                0.999985261021543,
                0.9999982396565769,
                0.9999910603068943,
                0.9999957771675623,
                0.9999832985821396,
                0.9999987901344607,
                0.9999980052702786,
                0.9999930377429207
            ],
            [
                0.999959936298269,
                0.999997438716568,
                0.9999898700090208,
                0.9999756997650643,
                0.9999852610110026,
                0.999915188948618,
                0.999978555054146,
                0.9999687980997901,
                0.99986017797601,
                0.9999852610233009
            ],
            [
                2.2603245672497918e-06,
                1.0677028700053041e-06,
                0.9770226301317896,
                0.7310585903489891,
                1.4738980211920955e-05,
                0.0013250223845548746,
                3.2887506332466845e-06,
                1.0129995807939249e-05,
                2.5612831265909735e-06,
                2.9023112931213857e-06
            ],
            [
                0.9999339478396017,
                0.9999417087066884,
                0.9997694933675396,
                0.9999885212332442,
                0.999933947831719,
                0.9999251537817047,
                0.9997694933125014,
                0.9998204720768701,
                0.9999756997679602,
                0.9995694429610741
            ],
            [
                5.829127246412803e-05,
                0.9964063976870294,
                0.9997040427946599,
                0.9968273165978857,
                2.5612831265909735e-06,
                0.9933071477847903,
                0.999620015425917,
                0.9982992777269221,
                0.0002034268996481753,
                0.9740426402591095
            ],
            [
                0.9999977396754327,
                0.9999832985841314,
                0.9999938558253987,
                0.9999869928746377,
                0.9999724642957762,
                0.9999957771650453,
                0.9999810748472526,
                0.9999810748495058,
                0.9999832985801479,
                0.999988521231875
            ],
            [
                0.999820471948409,
                0.9999339478474842,
                0.9997388097220108,
                0.999860177909463,
                0.999664649970408,
                0.9998601779260005,
                0.9995121428244533,
                0.9997965729297487,
                0.9980732649099776,
                0.9998204720982964
            ],
            [
                0.9999869928668849,
                0.9999898700053977,
                0.9999885212305071,
                0.9999832985761674,
                0.9999921107374143,
                0.9999885212305069,
                0.9999785550464765,
                0.999972464312192,
                0.9999921107392955,
                0.9999970976883609
            ],
            [
                0.9999980052700407,
                0.9999938558232009,
                0.9999898700114356,
                0.9999957771680656,
                0.9999852610215436,
                0.9999898700066052,
                0.9999832985821392,
                0.9999810748472494,
                0.9999832985721844,
                0.9999885212305063
            ],
            [
                0.9999898700126439,
                0.999978555054146,
                0.999995214906076,
                0.9999756997563729,
                0.9999646437408634,
                0.9999885212318748,
                0.9999910603047624,
                0.9999869928684354,
                0.9999957771675625,
                0.9999885212264016
            ],
            [
                0.999997438716568,
                0.9999984465024306,
                0.9999982396572065,
                0.9999810748427396,
                0.9999921107355337,
                0.9999945777784449,
                0.9999984465015047,
                0.999998239656367,
                0.9999992661786696,
                0.9999992661786696
            ],
            [
                0.9998415637642725,
                0.9999151889182282,
                0.9999151889485539,
                0.9997040428299131,
                0.9999251537460145,
                0.9999810748449911,
                0.9999151889384451,
                0.9999599363125918,
                0.9999724643023361,
                0.9995121428837458
            ],
            [
                0.999989870010228,
                0.9997040430062994,
                0.9996646498907349,
                0.9953904272202397,
                0.9999339478395914,
                0.9982992773440674,
                0.9998601778593273,
                0.9996646498102713,
                0.9998601778759707,
                0.9999687980997913
            ],
            [
                1.5534981249397663e-06,
                1.6701421842140854e-05,
                1.2098652508287273e-06,
                8.939699500636112e-06,
                2.561282821176841e-06,
                0.9399133485636499,
                5.422217030288788e-06,
                2.3823693839154895e-07,
                2.2603253755949437e-06,
                1.3007131563507714e-05
            ],
            [
                1.0677028700266676e-06,
                0.9999485577863596,
                0.9998204719701408,
                0.9999417087205882,
                3.120191133766637e-05,
                0.9989677690447547,
                3.5356242272712497e-05,
                5.829129327005879e-05,
                0.9796676448022444,
                0.9988304897251533
            ],
            [
                1.5534979397592542e-06,
                0.9996200155155605,
                0.9996200154697935,
                0.9982992778870213,
                0.9975273772740744,
                0.9988304897290969,
                0.9992903297055415,
                0.9988304895873956,
                0.9953904271369122,
                1.3007125352978066e-05
            ],
            [
                6.144176066521288e-06,
                2.3823690999290963e-07,
                8.315280276607289e-07,
                5.043474683204221e-07,
                5.71500515159253e-07,
                0.00037998452868091603,
                0.9978172834192607,
                2.561282515820982e-06,
                1.0677031245851707e-06,
                0.9968273177060986
            ],
            [
                0.9999756997621654,
                0.9997040429007811,
                0.9998911030648656,
                0.9999599362982708,
                0.9999832985841305,
                0.999975699753477,
                0.9999339478238412,
                0.9999885212318748,
                0.9999756997650627,
                0.9999339478553524
            ],
            [
                0.998073265791351,
                0.9998911030647897,
                0.9995121427651894,
                0.9997388097840392,
                0.9998415638210192,
                0.9999687980960721,
                0.9994472212554109,
                0.9997694933123941,
                0.9999251537370873,
                2.7535697650273915e-05
            ],
            [
                7.889264466344872e-06,
                1.9947301970451086e-06,
                1.2098658277335738e-06,
                0.9796676468428509,
                2.5612828213352452e-06,
                1.3709568799679844e-06,
                8.939694170940841e-06,
                1.3709575336860625e-06,
                5.715006514074756e-07,
                1.892514597343433e-05
            ],
            [
                0.9959298627182499,
                0.9994472213890281,
                0.9989677691780029,
                0.9940889321890172,
                0.9840936075301113,
                2.1444950968441685e-05,
                0.9990889488797209,
                3.120191509172827e-05,
                0.9859363709680644,
                0.9994472213230394
            ],
            [
                0.9999251537906383,
                0.9999151889688097,
                0.9999646437324458,
                0.9999151889384377,
                0.9995121428254184,
                0.9997694933122868,
                0.9999546021475986,
                0.9999832985741748,
                0.999796572978062,
                0.9999151889283289
            ],
            [
                0.9399133479324787,
                1.3709573702566696e-06,
                2.902313023039776e-06,
                0.9940889321370278,
                4.222834451292594e-06,
                7.889264466344872e-06,
                0.9984988180449705,
                0.9989677689292729,
                1.994729483705484e-06,
                0.9990889489836183
            ],
            [
                0.9999339478238656,
                0.9999952149072167,
                0.9999832985741774,
                0.9999869928715361,
                0.999995214904935,
                0.9999599362887323,
                0.999978555056703,
                0.9999832985741766,
                0.9999687980737552,
                0.9999599362887278
            ],
            [
                0.9999852610110019,
                0.9999724643187523,
                0.9999810748495058,
                0.999985261021544,
                0.9999869928699864,
                0.9999832985701924,
                0.9999724643154654,
                0.9999898700114356,
                0.9999885212346119,
                0.9999938558232011
            ],
            [
                0.9999945777797375,
                0.9999898700078126,
                0.9999756997679586,
                0.9999756997679626,
                0.9999945777784449,
                0.9999921107345933,
                0.9999898700041902,
                0.9999724643154692,
                0.999993855823934,
                0.999986992876188
            ]
        ]
    },
    {
        "q_id": "10510_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999998005269803,
                0.9999898700102282,
                0.9999970976869769,
                0.9999938558253982,
                0.9999994284993485,
                0.9999970976880149,
                0.9999967112521109,
                0.9999945777823231,
                0.9999980052693274,
                0.9999967112501507
            ],
            [
                0.9999898700053976,
                0.9999921107345934,
                0.9999910603026306,
                0.9999938558232011,
                0.9999938558232011,
                0.9999898700066057,
                0.999964643757745,
                0.9999599362935055,
                0.9999989322975118,
                0.9999962733611601
            ],
            [
                0.9995694428647407,
                0.9999852610215443,
                0.9999910603047621,
                0.9997388095999376,
                0.9999810748472494,
                0.9999546021313821,
                0.9999952149072167,
                0.9998601779094406,
                0.9999921107336528,
                0.9999970976880149
            ],
            [
                0.9999938558268632,
                0.9999952149049351,
                0.9999921107392958,
                0.9999987901343165,
                0.9999898700090204,
                0.9999957771665555,
                0.9999910602994336,
                0.9999339478239027,
                0.9999957771670592,
                0.9999599362887259
            ],
            [
                0.999796573027139,
                0.9999251537549815,
                0.9999417087484088,
                0.9996646500105861,
                0.9999339478789758,
                0.9997040427598373,
                0.9999832985722245,
                0.9999785550490333,
                0.9998766054252095,
                0.9997040427600956
            ],
            [
                0.9999724643056193,
                0.9999599362934897,
                0.9999151889586393,
                0.9997694932027467,
                0.9999910603026316,
                0.9997388096322285,
                0.999915188968843,
                0.9999485577802313,
                0.9999810748517607,
                0.9998601779093998
            ],
            [
                0.9999987901341723,
                0.9999938558261309,
                0.9999898700066053,
                0.9999974387177893,
                0.9999987901337396,
                0.999999352404893,
                0.9999898700066057,
                0.9999898700066059,
                0.9999646437492937,
                0.9999980052700408
            ],
            [
                0.9999898700066062,
                0.9996646499308055,
                0.9999756997476879,
                0.9999485577863629,
                0.9999251537549356,
                0.9999810748585355,
                0.9999546021205443,
                0.9999646437324458,
                0.9999938558239333,
                0.9999898700078131
            ],
            [
                0.9998911030518237,
                0.9998601778760113,
                0.9999687980849142,
                0.9998204719911309,
                0.9986749775313346,
                0.9999599362982599,
                0.9998204720125233,
                0.9997694931750128,
                0.9999038975621606,
                0.9990889486624953
            ],
            [
                2.699579061781008e-07,
                3.927862002625787e-07,
                2.1024344128660572e-07,
                1.3709572068354007e-06,
                3.05902226922147e-07,
                3.0590215398968196e-07,
                2.382370235922541e-07,
                1.0677031245050577e-06,
                3.0590215398829087e-07,
                6.475947209918244e-07
            ],
            [
                0.9999417087205958,
                0.9999417087206256,
                0.9999930377462407,
                0.9998415637078139,
                0.9999785550541453,
                0.9999546021476109,
                0.9999898700102282,
                0.9998204720554777,
                0.9999910603058283,
                0.9999945777797374
            ],
            [
                0.9999417087484042,
                0.9999038975966373,
                0.9998911030648799,
                0.9999687980849118,
                0.9999646437577258,
                0.9999417087205921,
                0.9999485577986563,
                0.9999910603004997,
                0.9998601779261043,
                0.9996646497712348
            ],
            [
                0.9999930377412607,
                0.9999974387184,
                0.9999982396567868,
                0.9999984465022455,
                0.9999994284993488,
                0.9999952149060758,
                0.9999945777797375,
                0.999994577780384,
                0.9999990577556308,
                0.9999993524052018
            ],
            [
                1.0129990977262395e-05,
                6.475945666033422e-07,
                0.00023050671281114442,
                8.315283250343497e-07,
                3.726639284017094e-06,
                1.2098653950480359e-06,
                9.422447062202052e-07,
                5.71500378896509e-07,
                1.370957860567974e-06,
                4.222833947820683e-06
            ],
            [
                0.9999974387171787,
                0.9999986290432835,
                0.9999994284995529,
                0.9999921107402366,
                0.9999970976887068,
                0.9999962733598275,
                0.999986992866886,
                0.9999599363030504,
                0.9999982396565769,
                0.9999984465022455
            ],
            [
                0.9999982396567867,
                0.9999970976887068,
                0.9999885212305071,
                0.9999852610127579,
                0.9999546021476133,
                0.999738809691445,
                0.9999852610215446,
                0.999989870011436,
                0.9999646437577258,
                0.999988521234612
            ],
            [
                0.9999417087206002,
                0.9999852610233028,
                0.9999756997650667,
                0.9999898700066053,
                0.9999957771650455,
                0.9999687980960685,
                0.9999869928653352,
                0.999996273360716,
                0.9999339478789813,
                0.9999921107392955
            ],
            [
                0.8933094096048376,
                0.9999987901337395,
                0.9999970976880148,
                0.9999921107336526,
                0.9999957771660521,
                0.9999938558261309,
                0.999996273360272,
                0.9999970976866309,
                0.9999938558232008,
                0.9999938558268633
            ],
            [
                0.9999885212264031,
                0.999993855823201,
                0.999997097687323,
                0.999999057755743,
                0.9999990577551814,
                0.999998005269803,
                0.9999852610162758,
                0.9999991684718732,
                0.9999980052705163,
                0.99999844650169
            ],
            [
                0.9999687980737515,
                0.9989677691608366,
                0.9996200154241814,
                0.9992903296250476,
                0.998498817537006,
                0.9999898700102282,
                0.9964063974827744,
                0.9993736658208678,
                0.999948557774073,
                0.999512142766126
            ],
            [
                0.9999885212318773,
                0.9999930377437511,
                0.9999756997476845,
                0.999992110733653,
                0.9999599363030525,
                0.9999810748472499,
                0.9999885212264029,
                0.9999938558268635,
                0.9999885212291397,
                0.9999832985721839
            ],
            [
                1.0677028700320085e-06,
                3.0590222692437275e-07,
                1.3709570434122812e-06,
                8.315279285251204e-07,
                1.3709568799760888e-06,
                1.1478773597870298e-05,
                1.370957370247318e-06,
                1.0129995809044816e-05,
                9.422445938728576e-07,
                1.0677031245905116e-06
            ],
            [
                0.9999785550464778,
                0.999948557767984,
                0.9999687980812015,
                0.9999938558268636,
                0.9999756997534786,
                0.9999938558253982,
                0.9999546021097396,
                0.9999038975393034,
                0.9999945777829695,
                0.9999546021368017
            ],
            [
                0.999993855827596,
                0.9999987901338838,
                0.9999869928715361,
                0.9999885212318756,
                0.9999910603015649,
                0.9999785550516006,
                0.999998005269803,
                0.9999957771650453,
                0.9999974387184,
                0.999997097686977
            ],
            [
                0.9999945777784449,
                0.9999921107364748,
                0.9999921107345933,
                0.9999962733593833,
                0.9999785550567073,
                0.9999852610180336,
                0.999981074858529,
                0.9999962733602717,
                0.9999997300421903,
                0.9999832985781578
            ],
            [
                0.9999930377412606,
                0.9999869928715369,
                0.9998911031038282,
                0.9999898700102282,
                0.9999869928746372,
                0.999996273360716,
                0.9999885212346119,
                0.9999599362887259,
                0.9999921107355336,
                0.9999952149055054
            ],
            [
                0.9999962733607161,
                0.9999980052702786,
                0.9999952149066462,
                0.9999852610233032,
                0.9999974387187053,
                0.9999898700053986,
                0.9999785550515884,
                0.9999785550464785,
                0.9999687980923528,
                0.9999785550413659
            ],
            [
                0.9997388095983036,
                0.9989677691789632,
                0.9995694430168249,
                0.7057850340255386,
                0.9998204720283808,
                0.9324533116759811,
                0.047425872840974444,
                0.8670357546485407,
                0.9999417087611284,
                0.8175744828610095
            ],
            [
                0.9999945777816768,
                0.9999986290427931,
                0.9999869928761894,
                0.999998446502801,
                0.9999994284996891,
                0.9999977396759716,
                0.9999930377454105,
                0.9999852610162767,
                0.999998446502801,
                0.9999987901344607
            ],
            [
                1.5534973841154145e-06,
                9.422448185264317e-07,
                8.315283250082584e-07,
                6.475951069896949e-07,
                5.715006514105942e-07,
                1.5534973841705173e-06,
                8.315280276580819e-07,
                1.209865683500459e-06,
                6.47594566594213e-07,
                1.8553919030776337e-07
            ],
            [
                0.9999646437408665,
                0.9999832985821396,
                0.9999599363173831,
                0.9998415637645907,
                0.9999785550439179,
                0.9999987901344607,
                0.9999546021367831,
                0.99989110309081,
                0.9999898700078134,
                0.9994472214519937
            ],
            [
                0.9999987901340281,
                0.9999994956527722,
                0.9999957771665555,
                0.9999982396559474,
                0.999993855823201,
                0.9999982396565767,
                0.999999168471675,
                0.9999982396567867,
                0.9999989322967481,
                0.9999945777784449
            ],
            [
                0.9999151889486606,
                0.9996646497718104,
                0.9999962733620487,
                0.9999832985801468,
                0.9999756997621669,
                0.9999945777816768,
                0.9999038975965423,
                0.9999785550541453,
                0.9998911030388706,
                0.9999546021367857
            ],
            [
                0.9999967112517189,
                0.9999869928668845,
                0.9999938558246658,
                0.9999967112493665,
                0.9999724643187554,
                0.9999339478789859,
                0.9999952149037942,
                0.9999852610180304,
                0.999993855826131,
                0.9999952149037941
            ],
            [
                0.9996646499297909,
                0.9940889306320708,
                0.9968273170271802,
                0.9996200155147755,
                0.9996646497303736,
                0.999959936322143,
                0.9998415638020868,
                0.9997965730509494,
                0.9997694932849822,
                0.9997965729540327
            ],
            [
                0.9999962733593832,
                0.9999945777790912,
                0.9999980052695652,
                0.9999970976887068,
                0.9999921107374157,
                0.9999984465020603,
                0.9999945777784457,
                0.9999957771655487,
                0.999999266179107,
                0.9999945777784451
            ],
            [
                0.9999724643023485,
                0.9999251537638694,
                0.9999151889485612,
                0.9999038975507474,
                0.9999898700078128,
                0.9999038975736144,
                0.9998601779427884,
                0.9997965729783995,
                0.9999724643187485,
                0.9999339478474842
            ],
            [
                2.699577130944368e-07,
                7.338212429464139e-07,
                1.7603440526806268e-06,
                7.338207180801359e-07,
                6.475945666009864e-07,
                5.043475885634304e-07,
                6.47594566594213e-07,
                3.92786340734912e-07,
                1.0677026154619133e-06,
                6.475947981975644e-07
            ],
            [
                0.9999982396567867,
                0.999997097686977,
                0.9999984465022455,
                0.9999952149049349,
                0.9999869928699853,
                0.9999687980849095,
                0.9999852610110022,
                0.9999869928653345,
                0.99998526101803,
                0.9999952149066462
            ],
            [
                0.9999869928730863,
                0.9999832985821396,
                0.9999962733589389,
                0.9999977396754327,
                0.9999756997621702,
                0.9999938558239332,
                0.999998790134605,
                0.9997040427959859,
                0.9999930377437505,
                0.9999832985841305
            ],
            [
                0.9999970976869769,
                0.9999921107383551,
                0.9999957771680658,
                0.9999921107383549,
                0.9999938558232011,
                0.9999885212264016,
                0.9999898700053982,
                0.9999957771665557,
                0.9999952149032237,
                0.9999962733598274
            ],
            [
                0.999915188968843,
                0.999978555056705,
                0.9999952149072165,
                0.9999885212305069,
                0.9999921107383555,
                0.999993855824666,
                0.9999898700114362,
                0.9999952149043646,
                0.9999977396757022,
                0.9999921107402365
            ],
            [
                2.2603245672867952e-06,
                5.715006514040971e-07,
                5.4222202623972055e-06,
                7.338207180761315e-07,
                4.4508515805199415e-07,
                1.0677028700320085e-06,
                2.6995771309333195e-07,
                7.338209805090567e-07,
                1.2098656835076114e-06,
                3.4663257978780455e-07
            ],
            [
                0.9999724642990595,
                0.9875683514679048,
                0.9999038975736046,
                0.9579122690805789,
                0.9914225147684453,
                0.9998766054398833,
                0.9996646499302397,
                0.999959936288716,
                0.9996646500095812,
                0.9999687980737751
            ],
            [
                0.9999485577618527,
                0.9999251537371462,
                0.9997965730025117,
                0.9999810748585355,
                0.999994577779738,
                0.9940889306895329,
                0.9999785550439215,
                0.999964643732439,
                0.9999810748562741,
                0.9999984465020603
            ],
            [
                0.9999980052702786,
                0.9999962733602719,
                0.9999910602994346,
                0.9999938558246674,
                0.999997097689053,
                0.9999852610180315,
                0.9999962733620489,
                0.9999977396746245,
                0.9999980052693274,
                0.9999974387177893
            ],
            [
                0.9999832985781584,
                0.9999938558224685,
                0.9999945777823231,
                0.9999885212359799,
                0.9999898700102285,
                0.999997438717484,
                0.9999785550413652,
                0.9999977396754327,
                0.999998239656367,
                0.9999967112517189
            ],
            [
                0.9999599362982922,
                0.9999785550490369,
                0.9999599362887345,
                0.9999785550592579,
                0.9998766053811251,
                0.9999810748449924,
                0.9999952149066462,
                0.9999785550592586,
                0.9999785550566999,
                0.9999970976873229
            ],
            [
                0.9999984465022455,
                0.9999970976880149,
                0.9999852610215451,
                0.9999977396762411,
                0.999999352404893,
                0.9999970976876689,
                0.9999974387184,
                0.9999990577557432,
                0.9999869928715373,
                0.9999987901341723
            ],
            [
                0.9999852610127579,
                0.9999832985801483,
                0.999959936303039,
                0.999997438716568,
                0.9999930377429205,
                0.9999832985741757,
                0.9999967112505427,
                0.9999898700126433,
                0.9999970976866309,
                0.9999810748472489
            ],
            [
                0.9999989322970027,
                0.999999057755069,
                0.999992110740236,
                0.9999957771650453,
                0.9999984465024306,
                0.9999990577552937,
                0.9999982396561571,
                0.999995214904935,
                0.9999930377437508,
                0.9999970976890528
            ],
            [
                0.9999251537817111,
                0.9999417087136441,
                0.9999982396567867,
                0.9999687980886298,
                0.9999546021205469,
                0.9999938558224682,
                0.9999938558246662,
                0.9999251537727964,
                0.9999646437577242,
                0.9998766054693442
            ],
            [
                0.9999930377454107,
                0.9994472212589162,
                0.9998415637456005,
                0.9999599363030465,
                0.9998766053957325,
                0.9999852610110034,
                0.9999930377412606,
                0.999903897585194,
                0.9999038976079961,
                0.999915188938561
            ],
            [
                0.999995214906076,
                0.9999992661788445,
                0.9999990577551815,
                0.9999957771670591,
                0.9999980052709919,
                0.9999938558246658,
                0.9999967112509346,
                0.999999057755743,
                0.9999962733620488,
                0.9999962733602719
            ],
            [
                0.9994472213869057,
                0.9996646500102446,
                0.9999546021476033,
                0.9999038975851613,
                0.9991959139656471,
                0.9997694932028004,
                0.9991959140587587,
                0.9996200155601113,
                0.9997040429008672,
                0.9989677687950643
            ],
            [
                1.994730434735237e-06,
                1.3709576971160984e-06,
                1.2098661161789477e-06,
                3.927860597945825e-07,
                2.102432658428575e-07,
                3.0590237279032884e-07,
                4.450848927621807e-07,
                5.71500583272315e-07,
                4.450851049959619e-07,
                1.2751905808881762e-07
            ],
            [
                0.9999945777816767,
                0.9999986290426297,
                0.9999869928684358,
                0.9999991684722697,
                0.9999810748449934,
                0.9999962733620487,
                0.9999994956525317,
                0.9999952149032237,
                0.9999994284993486,
                0.9999885212277699
            ],
            [
                7.33820892991805e-07,
                4.450848927637999e-07,
                3.7266406167827664e-06,
                7.3382080556433e-07,
                1.2098653950656417e-06,
                4.222832940942332e-06,
                1.5534975693601474e-06,
                5.043474081993875e-07,
                1.9947299592570416e-06,
                9.422449308673789e-07
            ],
            [
                0.9998601779091965,
                0.9997388097839707,
                0.9999756997621654,
                0.9998601778926528,
                0.9978172835156086,
                0.9994472214537946,
                0.9998601779093165,
                0.9982992778967064,
                0.9997388096598381,
                0.9993736659715249
            ],
            [
                5.715002426254813e-07,
                5.043473480678099e-07,
                5.71500515159253e-07,
                1.2098653950480359e-06,
                1.3709576971061233e-06,
                5.715005832798517e-07,
                1.0677028700203557e-06,
                1.0677031245710902e-06,
                1.0677028700266676e-06,
                5.71500515151976e-07
            ],
            [
                0.9999687980811913,
                0.9998204719483776,
                0.9999869928684351,
                0.9999869928715355,
                0.9999599362887106,
                0.999954602115126,
                0.9999724642957716,
                0.9999599363125902,
                0.999981074844992,
                0.9999687980774709
            ],
            [
                0.9999970976883609,
                0.9999977396748938,
                0.999997438716568,
                0.9999986290426297,
                0.9999974387184,
                0.9999952149055057,
                0.9999980052702786,
                0.9999977396765105,
                0.9999977396751633,
                0.9999984465016899
            ],
            [
                0.9999938558275958,
                0.9999952149032237,
                0.9999910603036964,
                0.999997438717484,
                0.9999852610162773,
                0.9999995549147358,
                0.9999962733611604,
                0.9999970976873228,
                0.9999974387171787,
                0.9999987901344607
            ],
            [
                0.9996200155635604,
                0.9999724643056221,
                0.999975699750582,
                0.9999724642990576,
                0.9999687980737719,
                0.9999687980811902,
                0.9999251537727964,
                0.9999687980849118,
                0.9999869928684346,
                0.9999785550464746
            ],
            [
                0.9999898700066064,
                0.9999970976883608,
                0.9999989322972572,
                0.9999977396762411,
                0.9999832985721853,
                0.9999993524051246,
                0.9999962733607161,
                0.9999986290424663,
                0.9999974387168733,
                0.9999930377429208
            ],
            [
                0.9999970976873229,
                0.9999982396565769,
                0.99999862904312,
                0.9999994284994849,
                0.9999957771665555,
                0.9999967112501507,
                0.9999987901338838,
                0.9999898700102291,
                0.9999852610145177,
                0.9999945777790914
            ],
            [
                0.999999057755743,
                0.9998911031168874,
                0.9999599363173831,
                0.9999977396762411,
                0.9999646437408697,
                0.9999885212318754,
                0.9999945777829696,
                0.9999938558246659,
                0.9999898700041907,
                0.9999974387168734
            ],
            [
                0.9999930377420909,
                0.9999810748562741,
                0.9999869928653358,
                0.9999724642990628,
                0.9999485577925108,
                0.9999599363221565,
                0.9999785550567011,
                0.9999417087345305,
                0.9999417087205725,
                0.9999957771655488
            ],
            [
                0.9998766053664029,
                0.9999151889688097,
                0.9998415637077331,
                0.9999417087066808,
                0.9999038975621705,
                0.9998204719912641,
                0.9999785550515897,
                0.9999910603004989,
                0.9999251537549879,
                0.9996646497707762
            ],
            [
                0.9999898700126431,
                0.9999967112497584,
                0.9999938558232014,
                0.9999898700102291,
                0.9999986290421394,
                0.9999599363030822,
                0.9999952149055054,
                0.9999921107402364,
                0.9999984465020603,
                0.9999962733598274
            ],
            [
                1.2098662604049616e-06,
                1.7603436329978976e-06,
                7.889265406438011e-06,
                1.7603438428460541e-06,
                1.5534971989992774e-06,
                1.7603430034439723e-06,
                1.2098658274067654e-06,
                4.785093923690512e-06,
                9.4224425692559e-07,
                2.260324836776948e-06
            ],
            [
                0.9999869928653343,
                0.999993037745411,
                0.9999938558268633,
                0.9999938558224688,
                0.9999756997621702,
                0.9999986290431201,
                0.9999945777816768,
                0.999998239656367,
                0.9999885212332436,
                0.999999057755743
            ],
            [
                0.9998204720772828,
                0.99995993630782,
                0.9999417087205764,
                0.9999151889688097,
                0.9999898700041902,
                0.9999417087483762,
                0.999738809784594,
                0.9992903294551022,
                0.999876605395702,
                0.9999756997621654
            ],
            [
                0.9999994956523512,
                0.9999980052695652,
                0.9999991684718732,
                0.999994577780384,
                0.9999962733620487,
                0.9999990577550691,
                0.999999266179107,
                0.999995777167059,
                0.9999921107364742,
                0.9999991684719723
            ],
            [
                0.9999869928761884,
                0.9999910603047618,
                0.9999930377429205,
                0.999988521233244,
                0.9999852610197877,
                0.9999785550490384,
                0.9999986290427931,
                0.9999785550490391,
                0.9999852610232999,
                0.9999921107345933
            ],
            [
                5.715006514040971e-07,
                3.4663249714451116e-07,
                1.9947306726358406e-06,
                5.043474683156057e-07,
                1.2098656835076114e-06,
                8.315278293951957e-07,
                1.0677032518578904e-06,
                2.260323489490968e-06,
                2.5612822106654943e-06,
                5.715004470272272e-07
            ],
            [
                0.9997040429714769,
                0.999290329626286,
                0.9999910603026306,
                0.9996200155596138,
                0.9999646437408665,
                0.9999151889384297,
                0.9998911030517865,
                0.9986749778206377,
                0.999981074842736,
                0.9999938558224686
            ],
            [
                0.9999974387168733,
                0.999996273360716,
                0.9999910603015649,
                0.9999986290429566,
                0.9999962733620487,
                0.9999987901344608,
                0.9999957771675625,
                0.9999994284992805,
                0.999994577782323,
                0.9999984465020603
            ],
            [
                0.9999724643187576,
                0.999997097688015,
                0.9999995549149481,
                0.9999980052705163,
                0.9999962733611605,
                0.99999862904312,
                0.9999785550515954,
                0.9999957771675624,
                0.9999989322968754,
                0.9999957771650455
            ],
            [
                2.3823699519290042e-07,
                2.3823693839154895e-07,
                2.3823688159237777e-07,
                5.043475284274736e-07,
                3.9278624708775595e-07,
                2.6995784182073116e-07,
                1.8553907971813685e-07,
                1.6373766672936518e-07,
                3.466327450756327e-07,
                3.4663249714451116e-07
            ],
            [
                0.9999546021313646,
                0.9999785550592614,
                0.9999810748517607,
                0.9999982396572065,
                0.999992110738355,
                0.9999962733598274,
                0.999995214904935,
                0.9999724643187513,
                0.9999599362887179,
                0.9999977396754327
            ],
            [
                0.9999930377437508,
                0.9999952149037944,
                0.9999992661790195,
                0.9999756997621728,
                0.9999977396762411,
                0.9999687980737603,
                0.999993037740431,
                0.9999756997563768,
                0.9999984465018751,
                0.9999980052702785
            ],
            [
                0.9999990577555183,
                0.9999810748427356,
                0.9999989322973845,
                0.9999898700102282,
                0.9999417087553089,
                0.9999687980849298,
                0.9999957771665554,
                0.999997438717484,
                0.9999970976880148,
                0.9999910603047633
            ],
            [
                0.9999938558275958,
                0.9999980052698031,
                0.9999977396748938,
                0.9999970976876689,
                0.9999970976890528,
                0.9999957771675623,
                0.999997438716568,
                0.9999921107355333,
                0.9999869928761882,
                0.9999977396765105
            ],
            [
                0.9999485577680053,
                0.9999151889587774,
                0.9999869928715358,
                0.9999930377437508,
                0.9999785550541442,
                0.9999970976883609,
                0.9999724643023419,
                0.999995214906076,
                0.9999962733611603,
                0.9999921107345936
            ],
            [
                0.9999952149072167,
                0.9999945777810303,
                0.999998005269803,
                0.9999930377412607,
                0.9999957771680656,
                0.9999977396759716,
                0.9999974387187053,
                0.9999957771670589,
                0.9999967112501507,
                0.9999945777816768
            ],
            [
                0.9999910603026306,
                0.9999785550567011,
                0.9999724642990595,
                0.9999724642957828,
                0.9999151889486261,
                0.9999974387177893,
                0.9999646437619387,
                0.999997438717484,
                0.9996646498117641,
                0.9999832985801492
            ],
            [
                0.99998699287309,
                0.9999987901346049,
                0.999975699767967,
                0.9999785550592627,
                0.9999930377462406,
                0.9999885212318764,
                0.999999352404893,
                0.9999910603015656,
                0.999989870009021,
                0.9999974387168733
            ],
            [
                0.9999885212346117,
                0.9999974387184,
                0.9999930377445805,
                0.9998766054398672,
                0.9999930377429205,
                0.9999756997505803,
                0.9999930377437505,
                0.999903897539223,
                0.9999952149043644,
                0.9998766054547045
            ],
            [
                0.9999251537906715,
                0.9999984465015057,
                0.9999485577740932,
                0.9999417087066693,
                0.9999151889182126,
                0.9999910603026312,
                0.9999832985761651,
                0.9999885212305057,
                0.9999869928747238,
                0.9999756997534777
            ],
            [
                0.9999852610162724,
                0.9999810748427385,
                0.9999945777784448,
                0.9999980052705164,
                0.9999962733589389,
                0.999975699753474,
                0.9999785550413632,
                0.9999687980886347,
                0.9999980052695652,
                0.99992515377279
            ],
            [
                0.9999724642990576,
                0.999989870005398,
                0.9999417087483918,
                0.9999832985821384,
                0.9999599363221466,
                0.9999869928761874,
                0.9999724642957734,
                0.9999687980886309,
                0.9999485577863757,
                0.9999869928684351
            ],
            [
                0.9999993524053562,
                0.9999994284994167,
                0.9999977396754327,
                0.9999977396751633,
                0.9999952149037941,
                0.9999921107336528,
                0.9999962733593832,
                0.9999980052700407,
                0.9999989322972572,
                0.9999980052705163
            ],
            [
                2.102433159684668e-07,
                2.1024341622297196e-07,
                4.450850519360903e-07,
                2.1024339116082313e-07,
                3.927861065856269e-07,
                3.059021175247079e-07,
                1.4449800373019702e-07,
                3.4663249713489575e-07,
                2.3823696679230424e-07,
                5.715003788993679e-07
            ],
            [
                0.9999986290427931,
                0.9999885212305063,
                0.9999945777810304,
                0.9999945777816769,
                0.9999687980997952,
                0.999996273360272,
                0.9999980052698029,
                0.9999485577679945,
                0.9999952149032237,
                0.99998526101803
            ],
            [
                0.9999962733589393,
                0.9999756997621677,
                0.9999869928715392,
                0.9999982396572064,
                0.9999921107355337,
                0.9999930377412606,
                0.9999339478554053,
                0.9999957771660521,
                0.9999957771655488,
                0.9999945777816768
            ],
            [
                0.9999974387180947,
                0.9999687980960955,
                0.9999962733593833,
                0.9999957771665557,
                0.9999982396563669,
                0.9999980052707541,
                0.9999967112509347,
                0.9999945777829699,
                0.9999938558224687,
                0.9999869928730875
            ],
            [
                0.9999962733616045,
                0.9999980052705163,
                0.9999910603068933,
                0.9999977396765105,
                0.9999977396765105,
                0.9999724642957762,
                0.999988521229138,
                0.9999967112505425,
                0.999978555059262,
                0.9999898700126436
            ],
            [
                0.9998601779259395,
                0.9999898700078131,
                0.9999417087136211,
                0.9999546021421849,
                0.9999339478789471,
                0.9999810748427369,
                0.999995777166052,
                0.9999810748427379,
                0.9998911030779789,
                0.9999417087205764
            ],
            [
                0.9999910603004989,
                0.9999970976890528,
                0.9999810748472499,
                0.9999852610145146,
                0.9999599363078162,
                0.9999921107392953,
                0.9999151889182362,
                0.9999485577740902,
                0.9999930377429205,
                0.999985261021543
            ],
            [
                0.999995777164542,
                0.999994577782323,
                0.9999945777790918,
                0.9999987901347491,
                0.999995214906076,
                0.9999945777784449,
                0.9999974387184,
                0.9999930377412611,
                0.9999898700078145,
                0.9999974387171787
            ],
            [
                0.9999832985721839,
                0.9999952149032236,
                0.9999938558246658,
                0.9999938558261309,
                0.9999832985821414,
                0.9999785550515947,
                0.9999986290423029,
                0.99998329858015,
                0.9999910603026309,
                0.9999986290426297
            ],
            [
                0.9999785550439235,
                0.9999485578047641,
                0.9999785550541467,
                0.9998911030518111,
                0.9999980052709919,
                0.9999646437450779,
                0.9999756997505795,
                0.9999546021313623,
                0.9999646437535178,
                0.9999967112493665
            ],
            [
                0.9999910603015656,
                0.9999869928715381,
                0.9999756997679633,
                0.9999952149032239,
                0.9999898700041906,
                0.9999957771660523,
                0.9998204720983642,
                0.9999990577549568,
                0.9999852610145198,
                0.9999832985821401
            ],
            [
                7.338212429464139e-07,
                5.715006514074756e-07,
                7.338212429464139e-07,
                7.338208055579897e-07,
                9.422442569097361e-07,
                8.315282259051341e-07,
                2.699578740011634e-07,
                2.3823699519143784e-07,
                2.6995768091310296e-07,
                3.927862002641863e-07
            ],
            [
                0.9999957771680656,
                0.9999869928746383,
                0.9999832985741774,
                0.9999921107374156,
                0.9999869928761911,
                0.9999938558275958,
                0.9999952149055054,
                0.9999945777797374,
                0.9999810748449961,
                0.9999987901347491
            ],
            [
                0.9997388096596329,
                0.9982992776974717,
                4.785093353739995e-06,
                0.9968273168961092,
                0.9989677690431942,
                0.9988304900080118,
                0.9940889301149128,
                0.9996646499705251,
                0.8354835330070839,
                0.2942149659744614
            ],
            [
                0.9994472212563114,
                0.9998766054398994,
                0.9989677689219503,
                0.957912271934191,
                0.9999756997592727,
                0.9999810748449924,
                0.9740426427080145,
                0.9999546021367783,
                0.8670357546485408,
                0.9999646437492923
            ],
            [
                0.9999962733616046,
                0.9999938558224684,
                0.9999993524053562,
                0.9999724643187565,
                0.9999974387171787,
                0.999991060302632,
                0.9999885212264031,
                0.9999977396754327,
                0.9999984465022455,
                0.9999910603005
            ],
            [
                0.9999599362982748,
                0.9999980052709919,
                0.9999921107374153,
                0.9999977396746244,
                0.9999986290429566,
                0.9999962733593833,
                0.9999994284996211,
                0.9999967112517189,
                0.99998987000419,
                0.9999869928668857
            ],
            [
                0.9999974387177893,
                0.9997965730265855,
                0.999964643732439,
                0.9999930377437507,
                0.9999930377454105,
                0.9999970976883609,
                0.999989870007814,
                0.9999885212332446,
                0.9999938558246657,
                0.9999832985801479
            ],
            [
                0.999978555049031,
                0.9999974387168733,
                0.9999982396567867,
                0.9999687980923528,
                0.9999852610233041,
                0.9999952149060758,
                0.9999957771650454,
                0.9999910603047618,
                0.9999987901344607,
                0.9999938558239334
            ],
            [
                0.9999970976873229,
                0.9999885212291382,
                0.9999869928684356,
                0.999999887464905,
                0.9999938558239335,
                0.9999852610233015,
                0.9999646437493104,
                0.9999810748495086,
                0.9999852610145189,
                0.9999938558261308
            ],
            [
                1.0677027427471959e-06,
                8.315284241257637e-07,
                7.338208930355202e-07,
                8.315278293951957e-07,
                5.715002426410745e-07,
                8.315277302701984e-07,
                8.315281267834927e-07,
                9.422450431732037e-07,
                7.338208930391909e-07,
                1.0677028699625768e-06
            ],
            [
                0.9999930377462403,
                0.999997438717484,
                0.9999967112493665,
                0.9999546021151456,
                0.9999810748540172,
                0.9999938558253983,
                0.9999852610215482,
                0.999997097686977,
                0.9999987901346049,
                0.9999980052709919
            ],
            [
                0.9999938558275957,
                0.9999987901341723,
                0.9999982396572065,
                0.9999980052693274,
                0.999999495652652,
                0.9999962733602719,
                0.9999952149060758,
                0.9999974387187053,
                0.9999724643121888,
                0.9999970976876689
            ],
            [
                0.9999938558232008,
                0.9999986290432834,
                0.9999810748540204,
                0.9999993524049703,
                0.9999977396751633,
                0.9999832985801496,
                0.9999945777823231,
                0.9999994956525918,
                0.9999980052700407,
                0.9999930377454107
            ],
            [
                0.9999724643089025,
                0.9999785550567023,
                0.999983298570192,
                0.9999930377445803,
                0.9999938558239334,
                0.9999885212277704,
                0.9999885212346117,
                0.9999810748562732,
                0.9999832985781563,
                0.9999546021259631
            ],
            [
                0.9999930377454106,
                0.9999869928668849,
                0.9997388097541118,
                0.999959936307828,
                0.9999885212291395,
                0.9999546021259791,
                0.9999251537995403,
                0.9999724643187494,
                0.9999852610110012,
                0.9999646437577226
            ],
            [
                0.9999898700078136,
                0.9999921107336525,
                0.9999967112509347,
                0.9999957771650454,
                0.9999977396765105,
                0.9999930377420909,
                0.9999945777829693,
                0.9999930377454105,
                0.9999921107336532,
                0.9999756997476829
            ],
            [
                0.9999991684721706,
                0.9999952149066462,
                0.9999945777810304,
                0.9999938558268633,
                0.999993855823201,
                0.9999982396559473,
                0.9999921107392954,
                0.999999352405279,
                0.9999970976883609,
                0.9999832985781574
            ],
            [
                0.9998766053812616,
                0.9999869928684351,
                0.9999910602994343,
                0.9999724643121848,
                0.9999938558253988,
                0.9999785550490341,
                0.9999785550515897,
                0.9999810748540198,
                0.9999930377454112,
                0.9999945777829695
            ],
            [
                0.9999984465015047,
                0.9999974387168733,
                0.9999962733616045,
                0.9999938558239337,
                0.9999852610180298,
                0.9999921107345942,
                0.9999646437619418,
                0.9998766053812275,
                0.9999832985701952,
                0.9999785550567016
            ],
            [
                0.999975699762166,
                0.9999417087275172,
                0.993307150038491,
                0.9986749775527474,
                0.999954602142192,
                0.9978172839851777,
                0.9999339478474694,
                0.9995121427688792,
                0.9998766053957648,
                0.9993736659017891
            ],
            [
                0.9999921107402361,
                0.9999898700078128,
                0.999995777164542,
                0.9999898700090204,
                0.9999869928699853,
                0.9999945777829695,
                0.999996273358939,
                0.9999977396754327,
                0.9999910603058276,
                0.9999984465018751
            ]
        ]
    },
    {
        "q_id": "10532_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999982396569966,
                0.9999984465022455,
                0.9999980052707541,
                0.999999495652652,
                0.9999990577556308,
                0.9999993524051246,
                0.9999991684717741,
                0.9999994956527721,
                0.9999997300422869,
                0.9999991684716749
            ],
            [
                0.9999994284993485,
                0.9999992661790195,
                0.9999996940977002,
                0.9999984465016899,
                0.9999995549149481,
                0.9999980052705164,
                0.9999987901344608,
                0.9999992661788446,
                0.9999993524052019,
                0.9999996072138934
            ],
            [
                0.9999999006880549,
                0.9999996940978095,
                0.999999789756684,
                0.999999789756634,
                0.9999997617630616,
                0.9999996072136125,
                0.9999996072137998,
                0.9999996072136125,
                0.9999994956524115,
                0.9999996533675028
            ],
            [
                0.9998601779595598,
                0.9980732649028139,
                0.9991959140600682,
                0.9998415637832834,
                0.9959298627541141,
                0.9875683481977967,
                0.9980732656380006,
                0.9968273167098115,
                0.9997694932576776,
                0.9982992779544211
            ],
            [
                0.9999984465016899,
                0.9999984465026158,
                0.999999352405279,
                0.999999352405279,
                0.9999992661790195,
                0.9999997617630332,
                0.9999996072137529,
                0.9999992661791071,
                0.9999994956524715,
                0.9999993524051246
            ],
            [
                0.9999546021476212,
                0.9999810748450029,
                0.9999832985841328,
                0.9999339478711677,
                0.9999756997592727,
                0.9999921107336548,
                0.9999898700054003,
                0.9999921107345937,
                0.9999785550567123,
                0.9999810748517651
            ],
            [
                0.9999997617629764,
                0.9999996072138934,
                0.9999994956527121,
                0.999999266179107,
                0.9999993524051246,
                0.9999995549149481,
                0.9999993524054334,
                0.9999990577549569,
                0.9999994284996893,
                0.9999993524054334
            ],
            [
                0.9999987901347492,
                0.9999967112497585,
                0.9999930377445809,
                0.9999984465015047,
                0.9999980052695653,
                0.9999974387177895,
                0.9999910603005011,
                0.999997097686631,
                0.9999990577554062,
                0.9999986290424663
            ],
            [
                0.9999987901344607,
                0.9999990577555185,
                0.9999994284996212,
                0.9999994284997573,
                0.9999994956526519,
                0.9999989322975118,
                0.9999989322975118,
                0.99999893229713,
                0.9999987901338839,
                0.9999993524050474
            ],
            [
                0.9999938558232011,
                0.999998239656367,
                0.999999057755743,
                0.9999980052693274,
                0.999997097689053,
                0.9999990577555185,
                0.9999898700126456,
                0.9999938558224687,
                0.9999962733598279,
                0.9999980052698031
            ],
            [
                0.9999756997650734,
                0.9999885212277791,
                0.9999756997505828,
                0.9999646437408712,
                0.9999962733598275,
                0.999997097687669,
                0.9999724643187544,
                0.9999038976195017,
                0.999994577780384,
                0.999964643757729
            ],
            [
                0.9999996072137998,
                0.9999994956525317,
                0.999999789756684,
                0.9999994284993485,
                0.9999991684719723,
                0.9999991684717742,
                0.9999986290424664,
                0.9999996940976272,
                0.9999995549149481,
                0.9999996072137998
            ],
            [
                0.9999993524052019,
                0.9999991684722698,
                0.9999984465018752,
                0.9999991684718732,
                0.9999996940977731,
                0.9999993524053562,
                0.9999996072139402,
                0.9999994284994848,
                0.999999653367379,
                0.9999993524050474
            ],
            [
                0.9999995549149481,
                0.9999998362622552,
                0.9999996072139402,
                0.9999993524051246,
                0.9999996533673375,
                0.9999992661789321,
                0.9999998144608983,
                0.999999814460876,
                0.9999998724809875,
                0.9999998362623723
            ],
            [
                0.9999992661788446,
                0.9999984465026158,
                0.9999996940978461,
                0.9999977396762411,
                0.9999989322968754,
                0.9999995549150011,
                0.9999991684717742,
                0.999998239656367,
                0.999999554914895,
                0.999998005269803
            ],
            [
                0.9999952149066466,
                0.9999945777810305,
                0.9999785550541559,
                0.9999945777829702,
                0.9999910603005003,
                0.9999987901337396,
                0.9999970976890532,
                0.9999980052707541,
                0.9999977396751634,
                0.9999962733620488
            ],
            [
                0.9999995549150542,
                0.9999993524054335,
                0.9999994956526519,
                0.9999996072138934,
                0.999999694097773,
                0.9999993524051246,
                0.99999893229713,
                0.9999996940977002,
                0.999999653367379,
                0.9999996940977002
            ],
            [
                0.9998766054547045,
                0.9999810748472509,
                0.9999417087067299,
                0.9999724643187728,
                0.9999485577741191,
                0.9999546021314046,
                0.9999898700066069,
                0.9997040429370244,
                0.9999646437324546,
                0.9999810748472558
            ],
            [
                0.999998790134605,
                0.9999996533674614,
                0.9999996533674614,
                0.9999994284996212,
                0.9999991684718732,
                0.999997097688015,
                0.9999992661791944,
                0.9999990577552939,
                0.999999266178932,
                0.9999991684722698
            ],
            [
                0.9999990577549569,
                0.9999994956524114,
                0.9999982396569966,
                0.9999990577557432,
                0.9999984465026158,
                0.9999987901346049,
                0.9999994956524115,
                0.9999993524052019,
                0.9999993524050474,
                0.9999986290424663
            ],
            [
                0.9999982396561573,
                0.9999986290431201,
                0.9999990577552939,
                0.9999980052693275,
                0.9999995549147358,
                0.999998790134605,
                0.9999991684715759,
                0.999999495652712,
                0.9999996940977366,
                0.999998005270992
            ],
            [
                0.9999984465026159,
                0.9999989322971301,
                0.9999991684722697,
                0.9999984465022456,
                0.9999989322970028,
                0.9999982396561572,
                0.9999984465026159,
                0.9999994284994849,
                0.9999986290426298,
                0.9999993524052789
            ],
            [
                0.9999997300422869,
                0.9999994284997573,
                0.999999814460876,
                0.9999995549151072,
                0.999999855502048,
                0.9999997300422225,
                0.9999998144608317,
                0.9999996533672549,
                0.9999996533672549,
                0.9999997300422547
            ],
            [
                0.9997694932579526,
                0.0005527785918378537,
                0.9997694932578454,
                3.120190020613144e-05,
                0.9999417087276202,
                0.9986749777094147,
                0.8670357666736772,
                0.9996646499308055,
                0.9998911030908894,
                0.9978172840267593
            ],
            [
                0.9999987901337396,
                0.9999994956523514,
                0.99999844650169,
                0.9999997300423191,
                0.9999982396572065,
                0.9999994284996211,
                0.9999987901343166,
                0.9999996072137998,
                0.9999989322975119,
                0.9999991684715758
            ],
            [
                0.9999977396746246,
                0.9999994284994849,
                0.9999991684715758,
                0.9999994284997573,
                0.9999994956527721,
                0.9999990577555185,
                0.9999984465018751,
                0.9999992661789321,
                0.999998932296621,
                0.999997097689053
            ],
            [
                0.9999967112509349,
                0.9999989322966208,
                0.9999910602994351,
                0.9999974387187053,
                0.9999986290421395,
                0.9999991684717742,
                0.9999967112517189,
                0.9999987901344607,
                0.9999980052700409,
                0.9999957771665559
            ],
            [
                0.9999991684716749,
                0.9999993524051246,
                0.9999990577551815,
                0.999999266178757,
                0.9999984465024306,
                0.9999989322972572,
                0.9999910603036972,
                0.9999987901337396,
                0.999999495652712,
                0.999999653367379
            ],
            [
                0.999999266178757,
                0.999999168471675,
                0.9999977396765106,
                0.9999970976890529,
                0.9999996072137529,
                0.9999967112493668,
                0.9999987901346049,
                0.9999995549148419,
                0.9999987901347492,
                0.9999994956527121
            ],
            [
                0.9999996533674614,
                0.9999989322967482,
                0.9999990577552939,
                0.9999974387168736,
                0.9999986290421395,
                0.9999989322968755,
                0.9999977396754328,
                0.9999993524051246,
                0.999998790134028,
                0.999998239656367
            ],
            [
                0.999998790134028,
                0.9999997897567342,
                0.9999993524050474,
                0.9999987901344608,
                0.9999996072137998,
                0.9999993524053563,
                0.9999986290424664,
                0.9999991684720715,
                0.9999996533672135,
                0.9999992661786695
            ],
            [
                0.9999987901343165,
                0.9999984465018752,
                0.9999990577555185,
                0.9999987901344607,
                0.9999977396754328,
                0.9999993524053562,
                0.9999992661790195,
                0.9999962733607163,
                0.9999990577549568,
                0.9999984465018752
            ],
            [
                0.9999994956525317,
                0.9999996533674202,
                0.9999996533674202,
                0.9999991684721706,
                0.9999989322975118,
                0.9999989322966208,
                0.9999996533672549,
                0.9999993524052019,
                0.9999991684720715,
                0.9999993524054335
            ],
            [
                0.9999995549148419,
                0.9999997300421581,
                0.9999995549150011,
                0.9999995549148419,
                0.9999997617631184,
                0.9999997617629764,
                0.9999996072137998,
                0.9999997897566589,
                0.999999554914895,
                0.9999996940977731
            ],
            [
                0.9999967112497586,
                0.9999974387165681,
                0.999999352404893,
                0.9999982396569966,
                0.9999980052705164,
                0.9999996533672549,
                0.9999974387171787,
                0.999994577781677,
                0.9999982396565769,
                0.9999974387180948
            ],
            [
                0.9999990577550691,
                0.9999986290424664,
                0.9999986290423029,
                0.9999992661791944,
                0.9999994284994849,
                0.9999599363221628,
                0.999997097687323,
                0.9999992661786696,
                0.9999992661787571,
                0.9999957771675633
            ],
            [
                0.9999994956524715,
                0.9999977396759716,
                0.9999994284992804,
                0.9999992661786696,
                0.9999994956523514,
                0.9999980052705164,
                0.9999987901341724,
                0.9999994956524114,
                0.9999993524052019,
                0.9999994956524715
            ],
            [
                0.9999995549150542,
                0.9999984465024306,
                0.999998790134028,
                0.9999984465018751,
                0.9999989322970028,
                0.9999986290429567,
                0.9999984465018751,
                0.999996711251719,
                0.9999989322968754,
                0.9999989322970027
            ],
            [
                0.9999990577556308,
                0.9999994284996211,
                0.9999993524052018,
                0.999999554914895,
                0.9999989322968755,
                0.9999996072137998,
                0.9999990577552939,
                0.9999989322972572,
                0.9999982396567868,
                0.9999996940976636
            ],
            [
                0.9999993524052018,
                0.9999990577555185,
                0.9999984465022457,
                0.999998629042303,
                0.999999554914895,
                0.9999987901341723,
                0.9999994956524114,
                0.9999982396565769,
                0.9999995549147889,
                0.9999993524054334
            ],
            [
                0.9999991684717741,
                0.99999893229713,
                0.9999991684718733,
                0.9999991684717741,
                0.9999993524053562,
                0.9999996940977366,
                0.999998790134605,
                0.9999987901337396,
                0.9999991684720715,
                0.9999993524052018
            ],
            [
                0.9999994956524114,
                0.9999994956523514,
                0.9999991684717741,
                0.9999990577549569,
                0.9999996072138934,
                0.9999994284993485,
                0.9999992661792819,
                0.9999994284996891,
                0.9999995549148419,
                0.9999989322973846
            ],
            [
                0.9999994284996893,
                0.999999428499553,
                0.9999996072137529,
                0.9999996072136125,
                0.9999997617630332,
                0.9999992661791944,
                0.999998005269803,
                0.9999984465016899,
                0.9999991684722698,
                0.9999994956523514
            ],
            [
                0.9999038975851193,
                0.9875683470429681,
                0.9998766054693442,
                0.9984988180744607,
                0.9968273165154139,
                0.9997040428657001,
                0.9959298614686644,
                0.9999339478396116,
                0.00015843625426351888,
                0.9953904267651429
            ],
            [
                0.9999989322970027,
                0.9999994956527721,
                0.9999994956525317,
                0.9999989322967482,
                0.999999352405279,
                0.9999997897567342,
                0.9999989322970028,
                0.9999989322975119,
                0.9999995549150542,
                0.999998790134605
            ],
            [
                0.9999957771650456,
                0.9999974387171787,
                0.9999967112521109,
                0.9999952149066464,
                0.9999970976866309,
                0.9999977396765106,
                0.9999967112501509,
                0.999996711252111,
                0.9999952149066464,
                0.9999962733607162
            ],
            [
                0.9999974387171787,
                0.9999982396567867,
                0.9999980052707542,
                0.9999974387165681,
                0.999997097688707,
                0.9999993524049703,
                0.9999974387171787,
                0.999996273360272,
                0.9999977396765106,
                0.9999974387171787
            ],
            [
                0.9999991684720715,
                0.9999997300421903,
                0.9999832985701952,
                0.9999996533672962,
                0.9999989322972572,
                0.9999990577551815,
                0.9999986290424664,
                0.9999984465015047,
                0.9999996072139402,
                0.999998790134605
            ],
            [
                0.999999554914789,
                0.9999987901343165,
                0.9999991684720715,
                0.9999996940977366,
                0.9999994284997574,
                0.9999994956524114,
                0.9999994956525317,
                0.9999994284992805,
                0.999998790134605,
                0.9999989322970027
            ],
            [
                0.9982992775403373,
                0.9993736659746218,
                0.9999151889587867,
                0.9706877665457514,
                0.9993736657510955,
                0.9820137939529312,
                0.9999417087553522,
                0.9859363753715922,
                0.9992903295383205,
                0.999088948774552
            ],
            [
                0.9999984465028011,
                0.9999992661788445,
                0.9999982396572065,
                0.9999991684721706,
                0.9999995549151073,
                0.9999982396567869,
                0.9999967112501508,
                0.9999993524051246,
                0.9999997300421583,
                0.9999994956524715
            ],
            [
                0.9999970976890532,
                0.999992110733653,
                0.9999970976880151,
                0.999991060301567,
                0.9999977396762411,
                0.9999957771660523,
                0.999995777166053,
                0.9999952149043647,
                0.9999977396751634,
                0.9999930377462437
            ],
            [
                0.9999992661787571,
                0.9999991684715758,
                0.999999495652712,
                0.9999991684721706,
                0.9999987901338839,
                0.9999994284994167,
                0.9999991684715759,
                0.9999992661790195,
                0.999999266178757,
                0.9999994956523514
            ],
            [
                0.9999885212359829,
                0.9999945777797377,
                0.9999599362887743,
                0.9999417087554314,
                0.9999599362887435,
                0.9999832985741761,
                0.9999852610215467,
                0.9999910603068953,
                0.9999945777829695,
                0.9999546021314046
            ],
            [
                0.9999997300422869,
                0.9999996072138934,
                0.9999996533673788,
                0.9999997617631468,
                0.9999996072136125,
                0.9999992661787571,
                0.9999997617630899,
                0.9999995549151073,
                0.9999996533674201,
                0.999999730042126
            ],
            [
                0.9999785550413712,
                0.9999967112493665,
                0.9999810748472509,
                0.9999724643023452,
                0.9999930377412608,
                0.9999869928668857,
                0.999995214904935,
                0.9999952149037942,
                0.9999785550515917,
                0.9999756997505835
            ],
            [
                0.9999996072137998,
                0.9999996533672136,
                0.9999724643154813,
                0.999999554914895,
                0.9999997300422869,
                0.9999995549150011,
                0.9999987901344607,
                0.9999996940978461,
                0.9999992661788446,
                0.9999994956527722
            ],
            [
                0.9999984465020604,
                0.9999995549151073,
                0.9999990577551815,
                0.9999992661790195,
                0.9999996533674202,
                0.9999991684719723,
                0.9999980052700408,
                0.9999995549151073,
                0.9999991684720715,
                0.9999994284994167
            ],
            [
                0.9999995549150542,
                0.9999996072137061,
                0.9999997300421903,
                0.999999266178932,
                0.9999992661792819,
                0.999999554914895,
                0.9999996072136125,
                0.9999997897565838,
                0.9999993524049702,
                0.9999990577554061
            ],
            [
                0.9999970976887069,
                0.999999352405279,
                0.9999994284996212,
                0.9999990577552937,
                0.9999987901341724,
                0.9999989322968754,
                0.9999992661791071,
                0.999996711252111,
                0.9999992661787571,
                0.9999987901344608
            ],
            [
                0.9999997617631752,
                0.9999996533672135,
                0.9999991684715759,
                0.9999997617630332,
                0.9999994956523514,
                0.999999266179107,
                0.9999996940976636,
                0.9999991684719723,
                0.9999994284996893,
                0.9999998874647709
            ],
            [
                0.9999990577556308,
                0.9999996940977366,
                0.9999996533672962,
                0.999998239656367,
                0.9999987901344607,
                0.9999982396574163,
                0.9999991684717741,
                0.9999993524049703,
                0.9999990577550691,
                0.9999987901346049
            ],
            [
                0.9999852610180312,
                0.9999930377437514,
                0.999996273358939,
                0.9999785550515911,
                0.9999952149055054,
                0.9999898700041909,
                0.999995214903224,
                0.999991060304764,
                0.9999921107374156,
                0.9999852610162767
            ],
            [
                0.9999987901343165,
                0.9999945777797384,
                0.9999980052707541,
                0.999999266179107,
                0.9999990577550691,
                0.9999987901343165,
                0.9999994284992805,
                0.9999991684722698,
                0.9999989322967482,
                0.9999989322970027
            ],
            [
                0.999996273360716,
                0.9999987901343166,
                0.9999599362935213,
                0.9999992661792819,
                0.9999921107345936,
                0.9999980052693274,
                0.9999970976866309,
                0.9999989322968754,
                0.9999930377429206,
                0.9999962733593832
            ],
            [
                0.9999996533674202,
                0.9999994956524114,
                0.9999994956524114,
                0.9999996072137529,
                0.9999990577555185,
                0.999999789756634,
                0.9999987901343166,
                0.9999994284995529,
                0.9999994284993485,
                0.999999168471675
            ],
            [
                0.9999982396572065,
                0.9999980052695652,
                0.9999994956523514,
                0.9999994284994849,
                0.9999993524052018,
                0.9999990577557432,
                0.9999986290427931,
                0.9999990577551815,
                0.9999993524049703,
                0.999999168471675
            ],
            [
                0.9999995549149481,
                0.9999987901338838,
                0.9999998362623722,
                0.9999991684715759,
                0.999999694097846,
                0.9999991684717742,
                0.9999995549150011,
                0.9999990577552939,
                0.9999998362622746,
                0.999999653367379
            ],
            [
                0.9999995549147359,
                0.9999990577550691,
                0.9999996533673375,
                0.9999991684720715,
                0.9999994284993485,
                0.9999994284992805,
                0.9999996533674202,
                0.9999994956524716,
                0.9999996072138934,
                0.9999994956525317
            ],
            [
                0.9999992661791944,
                0.9999994284992805,
                0.999999266178757,
                0.9999996072139402,
                0.9999992661790195,
                0.9999982396561572,
                0.9999996072137529,
                0.9999990577557432,
                0.9999995549150542,
                0.9999993524052018
            ],
            [
                0.9999994284994848,
                0.9999984465020603,
                0.9999986290429567,
                0.9999970976873231,
                0.9999997300422547,
                0.9999967112497586,
                0.9999991684715758,
                0.9999980052695652,
                0.9999994956525317,
                0.9999977396759718
            ],
            [
                0.9999993524054335,
                0.9999993524051246,
                0.9999984465020604,
                0.9999997300421581,
                0.9999977396759717,
                0.9999994284997573,
                0.9999987901347492,
                0.9999977396765106,
                0.9999987901347491,
                0.9999992661791944
            ],
            [
                0.9999957771665562,
                0.999998239656577,
                0.9999982396561572,
                0.999993855822469,
                0.9999930377412614,
                0.9999991684722698,
                0.9999990577554061,
                0.9999990577552939,
                0.9999984465028012,
                0.9999989322966208
            ],
            [
                0.9999996533673375,
                0.9999994284993485,
                0.9999994956525918,
                0.9999987901344607,
                0.9999994956525317,
                0.9999994284993486,
                0.9999991684722698,
                0.999999554914895,
                0.9999994956524114,
                0.9999994956524716
            ],
            [
                0.9999995549148419,
                0.9999994284994848,
                0.99999893229713,
                0.9999994284995529,
                0.9999996533674202,
                0.9999987901341723,
                0.9999994284996211,
                0.9999992661791945,
                0.9999992661790195,
                0.9999990577556308
            ],
            [
                0.9999992661788446,
                0.9999974387180949,
                0.999998790134605,
                0.9999992661786695,
                0.9999989322968755,
                0.9999994284995529,
                0.9999993524050474,
                0.9999989322975119,
                0.9999995549148419,
                0.9999992661787571
            ],
            [
                0.9999945777829696,
                0.9998415637647842,
                0.9998911030778711,
                0.9999910602994342,
                0.999941708706721,
                0.9999785550567036,
                0.9999339478632563,
                0.9999930377429206,
                0.9998911030649053,
                0.9999885212305073
            ],
            [
                0.9999998362623137,
                0.9999996940976636,
                0.9999992661788445,
                0.9999996940976636,
                0.9999996533674202,
                0.999999789756634,
                0.9999992661788445,
                0.9999991684718732,
                0.9999997300421903,
                0.9999994284996893
            ],
            [
                0.9999993524053562,
                0.9999996072137529,
                0.9999992661786696,
                0.9999991684715759,
                0.999999554914842,
                0.999999730042126,
                0.9999987901337396,
                0.9999994956524114,
                0.9999993524050474,
                0.9999993524049702
            ],
            [
                0.9999980052709919,
                0.9999982396565769,
                0.9999962733611605,
                0.9999989322972573,
                0.999998790134605,
                0.9999984465018751,
                0.999998446502801,
                0.9999982396561572,
                0.9999984465022455,
                0.9999957771645421
            ],
            [
                0.9999987901346049,
                0.9999967112521109,
                0.9999945777784449,
                0.9999967112509348,
                0.9999921107355342,
                0.9999980052709919,
                0.9999992661792819,
                0.9999852610162737,
                0.9999984465024306,
                0.999993037743751
            ],
            [
                0.9999996072137061,
                0.9999986290431201,
                0.9999996072137998,
                0.999999266178932,
                0.9999990577551815,
                0.9999987901341724,
                0.9999991684722697,
                0.9999994956526519,
                0.9999993524053562,
                0.9999957771670592
            ],
            [
                0.9999992661786695,
                0.9999994956527121,
                0.9999994956524716,
                0.9999987901343165,
                0.9999984465020603,
                0.9999996072136125,
                0.9999995549147358,
                0.9999992661788445,
                0.9999994956525318,
                0.9999995549149481
            ],
            [
                0.9999989322968754,
                0.9999993524049703,
                0.9999982396572065,
                0.9999994284996212,
                0.9999996533674614,
                0.9999993524052018,
                0.999999352404893,
                0.9999989322972572,
                0.9999986290424663,
                0.9999987901343166
            ],
            [
                0.9997694933401279,
                0.9997965731000351,
                0.9959298622199259,
                0.9999251537549482,
                0.9995121428836323,
                0.9953904280129202,
                0.9998911031167924,
                0.999088949002427,
                0.999959936298269,
                0.999620015562068
            ],
            [
                0.9999986290426297,
                0.9999984465020604,
                0.9999980052693275,
                0.9999986290426299,
                0.9999970976887075,
                0.9999984465018752,
                0.9999986290421397,
                0.9999977396762412,
                0.9999957771660526,
                0.999964643732473
            ],
            [
                0.9999994284997573,
                0.9999990577556308,
                0.9999986290429567,
                0.9999986290421395,
                0.9999986290421394,
                0.9999986290421394,
                0.9999974387184004,
                0.9999993524051246,
                0.9999990577551815,
                0.9999989322966208
            ],
            [
                0.9999989322972572,
                0.9999990577551815,
                0.999998790134028,
                0.9999994284994167,
                0.9999996940976636,
                0.9999992661787571,
                0.9999987901340281,
                0.9999977396762413,
                0.9999984465026159,
                0.9999993524054334
            ],
            [
                0.9999990577555185,
                0.9999993524049702,
                0.999999352404893,
                0.9999994956524114,
                0.9999996072137998,
                0.9999993524050474,
                0.9999990577555185,
                0.9999977396762411,
                0.9999997300420937,
                0.9999991684716749
            ],
            [
                0.9999993524052018,
                0.9999991684717741,
                0.9999992661792819,
                0.9999995549147358,
                0.9999997617631752,
                0.9999996533672135,
                0.9999992661790195,
                0.9999994284994167,
                0.9999994284997573,
                0.9999994956527121
            ],
            [
                0.9999984465022455,
                0.9999987901347492,
                0.9999991684720715,
                0.9999967112517189,
                0.9999990577556308,
                0.9999992661790196,
                0.9999989322972572,
                0.9999994956524715,
                0.9999991684722697,
                0.9999991684717742
            ],
            [
                0.9999989322975118,
                0.9999982396569966,
                0.9999987901347491,
                0.9999986290421394,
                0.9999984465026158,
                0.9999980052693275,
                0.9999984465018751,
                0.9999991684715759,
                0.999999266178757,
                0.9999989322968754
            ],
            [
                0.9999992661792819,
                0.9999994956524716,
                0.9999990577550693,
                0.9999987901343165,
                0.999999428499553,
                0.999999554914895,
                0.9999990577552937,
                0.9999994284993485,
                0.999995214906076,
                0.999999266178932
            ],
            [
                0.9999993524054334,
                0.9999996940976636,
                0.9999992661792819,
                0.9999997617630332,
                0.9999992661791944,
                0.9999994284993485,
                0.9999994284994849,
                0.9999984465015047,
                0.9999991684720715,
                0.9999962733593833
            ],
            [
                0.9998415638025179,
                0.9999832985761689,
                0.9996646499717837,
                0.999620015425917,
                0.9999756997534912,
                0.9998911030651018,
                0.9995121428845974,
                0.9999599362982944,
                0.9988304894824116,
                0.998830489755887
            ],
            [
                0.9999957771670593,
                0.9999994284994849,
                0.9999990577556308,
                0.9999987901338838,
                0.9999987901337397,
                0.9999970976890531,
                0.9999974387171789,
                0.9999974387165682,
                0.999997097686977,
                0.9999989322972572
            ],
            [
                0.9999993524052018,
                0.999999266178932,
                0.9999994956524716,
                0.9999986290431202,
                0.9999996072138466,
                0.9999994284996893,
                0.9999997897566089,
                0.9999994956524716,
                0.9999990577557432,
                0.9999996072138466
            ],
            [
                0.999999168471675,
                0.9999993524053562,
                0.9999990577555185,
                0.9999989322967481,
                0.9999995549150542,
                0.999996273360272,
                0.9999994284996893,
                0.9999991684722697,
                0.9999984465016899,
                0.9999987901338839
            ],
            [
                0.9999997300421903,
                0.9999997300421903,
                0.9999997300420937,
                0.9999996533672962,
                0.9999997300422547,
                0.9999997617630616,
                0.9999996533674615,
                0.9999996533675028,
                0.9999996072138934,
                0.9999997897566589
            ],
            [
                0.9999996940977366,
                0.9999992661791945,
                0.9999996533675028,
                0.9999995549150011,
                0.999999554914895,
                0.9999997897566589,
                0.999999495652652,
                0.9999996072138465,
                0.9999994956527721,
                0.999999814460876
            ],
            [
                0.9999989322973846,
                0.9999982396572065,
                0.9999982396559474,
                0.9999991684719723,
                0.9999982396569966,
                0.999998790134028,
                0.9999994956525918,
                0.9999995549151073,
                0.9999989322967482,
                0.9999982396559474
            ],
            [
                0.999999694097773,
                0.9999977396751634,
                0.9999991684722697,
                0.9999994284997573,
                0.9999990577549569,
                0.9999996072138465,
                0.999999266178757,
                0.9999974387171787,
                0.9999989322970027,
                0.9999982396567867
            ],
            [
                0.9999989322972572,
                0.9999989322972572,
                0.9999990577557432,
                0.9999989322968754,
                0.9999991684717741,
                0.999997097686977,
                0.9999974387177893,
                0.9999989322973845,
                0.9999991684722698,
                0.9999989322972573
            ],
            [
                0.9999994284993485,
                0.9999991684722698,
                0.9999989322967481,
                0.9999997300421903,
                0.9999994284994849,
                0.9999990577550693,
                0.9999997617630616,
                0.9999994956525918,
                0.9999997617630049,
                0.9999992661786695
            ],
            [
                0.9999982396572065,
                0.9999980052709919,
                0.9999967112505428,
                0.999998629042303,
                0.9999986290429567,
                0.9999992661792819,
                0.9999987901344608,
                0.9999977396748938,
                0.9999984465026158,
                0.9999962733598277
            ],
            [
                0.9999980052695652,
                0.9999991684721706,
                0.9999996072138934,
                0.9999997897567091,
                0.9999987901347495,
                0.9999998144608538,
                0.9999996072136125,
                0.9999998144609202,
                0.9999993524050473,
                0.9999990577549569
            ],
            [
                0.9999991684719723,
                0.9999994956524716,
                0.999998239656367,
                0.9999996533674201,
                0.9999994956524114,
                0.9999992661786696,
                0.999999428499553,
                0.999999352405279,
                0.9999989322972573,
                0.999999352404893
            ],
            [
                0.9999982396567867,
                0.9999992661792819,
                0.9999995549147358,
                0.999998790134605,
                0.999993037740431,
                0.9999977396751634,
                0.9999984465024306,
                0.9999982396565769,
                0.9999991684721706,
                0.9999989322972573
            ],
            [
                0.9999994284995529,
                0.9999997617629764,
                0.9999998362623138,
                0.9999997300421581,
                0.9999997300422225,
                0.9999996533672962,
                0.9999997617631184,
                0.9999996940977001,
                0.9999997617631752,
                0.9999996940977001
            ],
            [
                0.9999989322975119,
                0.9999996940977366,
                0.9999997300422225,
                0.9999992661790195,
                0.9999996072138934,
                0.9999997617629764,
                0.9999994284994167,
                0.9999986290427932,
                0.9999990577549568,
                0.9999998144609423
            ],
            [
                0.9999987901343166,
                0.9999938558253986,
                0.9999982396559474,
                0.99999893229713,
                0.9999980052695652,
                0.9999982396574163,
                0.9999990577552939,
                0.9999974387168734,
                0.9999987901347491,
                0.999997097688361
            ],
            [
                0.9999997617629764,
                0.9999996533672136,
                0.9999996072136592,
                0.9999997617630048,
                0.9999998724809116,
                0.9999996940978095,
                0.9999997617631184,
                0.9999996072137061,
                0.9999993524050474,
                0.9999995549150013
            ],
            [
                0.9999994956527721,
                0.9999996072137998,
                0.9999997300421903,
                0.9999990577551815,
                0.9999992661788445,
                0.9999989322973846,
                0.9999994284993486,
                0.9999992661786695,
                0.9999996940976271,
                0.9999992661786695
            ],
            [
                0.9999599363221524,
                0.9999921107355343,
                0.9999785550541518,
                0.999972464302351,
                0.9998415638217454,
                0.999569442825536,
                0.999997097687669,
                0.999841563764699,
                0.9999869928668866,
                0.9998911030519014
            ],
            [
                0.9999994956523514,
                0.9999996072136592,
                0.9999982396569966,
                0.9999984465022455,
                0.9999994284993485,
                0.9999982396565769,
                0.9999993524052019,
                0.9999994956524114,
                0.9999997300422869,
                0.9999991684717741
            ],
            [
                0.9999982396572065,
                0.9999994284996891,
                0.9999995549148419,
                0.9999994284994167,
                0.9999991684721706,
                0.9999991684721706,
                0.9999991684722698,
                0.9999990577556308,
                0.9999974387177893,
                0.9999994284996893
            ],
            [
                0.9999992661786696,
                0.9999994956524115,
                0.9999993524053562,
                0.9999996940978461,
                0.9999998362623332,
                0.9999997617631752,
                0.9999984465015047,
                0.9999993524051246,
                0.9999994284996211,
                0.9999991684719723
            ],
            [
                0.9999995549149481,
                0.9999974387180948,
                0.9999991684717741,
                0.9999996072136592,
                0.9999994284994849,
                0.9999994284993485,
                0.9999990577557432,
                0.9999990577550691,
                0.9999992661791944,
                0.9999994956524114
            ],
            [
                0.999999428499553,
                0.9999992661788446,
                0.9999984465015047,
                0.9999996533672962,
                0.9999996072136125,
                0.9999997300420937,
                0.9999996072137998,
                0.9999989322975119,
                0.9999984465026158,
                0.9999996533674615
            ],
            [
                0.9999996072136125,
                0.9999993524054334,
                0.9999989322968754,
                0.9999994284994849,
                0.9999986290431201,
                0.9999986290424664,
                0.9999993524051246,
                0.9999994956527721,
                0.9999986290421395,
                0.9999995549147889
            ],
            [
                0.9999987901343166,
                0.9999996072136593,
                0.9999994284993486,
                0.9999996072137998,
                0.9999993524048931,
                0.9999980052702786,
                0.9999995549148951,
                0.9999992661787571,
                0.9999990577551815,
                0.9999984465026159
            ],
            [
                0.9999990577555185,
                0.9999996533675028,
                0.9999980052693274,
                0.9999992661787571,
                0.9999996940977731,
                0.9999987901344609,
                0.999999266179107,
                0.9999995549150011,
                0.999999352405279,
                0.99999893229713
            ],
            [
                0.9999991684715759,
                0.9999995549151072,
                0.999999266179107,
                0.9999993524054335,
                0.9999994956524114,
                0.9999996533672549,
                0.9999994284993485,
                0.9999994284992805,
                0.9999977396751634,
                0.999999352404893
            ],
            [
                0.9999995549150542,
                0.9999994284994848,
                0.9999990577552939,
                0.9999980052702786,
                0.9999982396569966,
                0.9999997300421581,
                0.99999893229713,
                0.9999991684721706,
                0.9999994956527121,
                0.9999989322968754
            ],
            [
                0.9999994956523512,
                0.9999996072137061,
                0.9999994956524715,
                0.9999995549147889,
                0.9999986290426298,
                0.9999984465020604,
                0.9999996533675028,
                0.9999990577554062,
                0.9999992661786695,
                0.99999893229713
            ],
            [
                0.9999952149037944,
                0.9999599362887198,
                0.9999938558261313,
                0.9999982396574163,
                0.9999967112501508,
                0.9999885212291404,
                0.9999945777829695,
                0.999995214906076,
                0.9999984465016899,
                0.9999967112501507
            ],
            [
                0.9999993524051246,
                0.9999991684720715,
                0.9999994284996891,
                0.9999994284995529,
                0.9999994284992805,
                0.9999996072136592,
                0.9999991684719725,
                0.9999995549147358,
                0.9999996533674201,
                0.99999844650169
            ],
            [
                0.9999997617630332,
                0.9999996533673375,
                0.999999266179107,
                0.9999994956524115,
                0.9999989322968754,
                0.9999997617631752,
                0.9999994284996211,
                0.999999352404893,
                0.9999994956527121,
                0.999999266178757
            ]
        ]
    },
    {
        "q_id": "10426_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.715004470025379e-07,
                2.2603253755476615e-06,
                1.0677029972270124e-06,
                1.2098659717548853e-06,
                2.902312330891746e-06,
                6.14417313533799e-06,
                4.2228344501365644e-06,
                2.2603240281606297e-06,
                1.5534983100228109e-06,
                1.1478766747236611e-05
            ],
            [
                4.222833444168322e-06,
                1.1478768122069266e-05,
                1.0129994597524319e-05,
                4.222833947198501e-06,
                6.962258738827909e-06,
                8.315281267339571e-07,
                1.8925150479534963e-05,
                1.8925145979561802e-05,
                2.260324297492425e-06,
                3.7266397280485686e-06
            ],
            [
                6.144175333635923e-06,
                1.7603436328289897e-06,
                7.889262585441413e-06,
                1.8925148238808306e-05,
                8.93969843377968e-06,
                6.962254589528684e-06,
                1.1478773597870298e-05,
                1.0129987355785634e-05,
                4.222833444106873e-06,
                1.0129995805359584e-05
            ],
            [
                0.999891103038896,
                0.9999756997650775,
                0.9999251537460401,
                0.9999785550413638,
                0.9999151889890594,
                0.9999756997505795,
                0.9999724643023429,
                0.9999546021259734,
                0.9999724643089064,
                0.9998766054694106
            ],
            [
                5.422221554926484e-06,
                7.889266334964857e-06,
                6.144173133963328e-06,
                2.9023126767360923e-06,
                1.7603436328289897e-06,
                1.147876675548402e-05,
                2.902311292002183e-06,
                1.7603438427243761e-06,
                8.939698432690187e-06,
                5.8291251358366035e-05
            ],
            [
                0.999915188968851,
                0.9999687980923541,
                0.9999151889587515,
                0.9998415638210192,
                0.9998911030649464,
                0.9999038975621215,
                0.9998204719699371,
                0.9997694933395409,
                0.9998911030907721,
                0.9999151889790031
            ],
            [
                2.144495861531752e-05,
                8.93969310584124e-06,
                1.760343002958863e-06,
                2.2603248365343694e-06,
                1.9947306725451314e-06,
                8.315282258900085e-07,
                1.5534981247907057e-06,
                4.7850927830148924e-06,
                0.982013787142765,
                7.889264462728577e-06
            ],
            [
                0.9996200155170307,
                0.9995694429612494,
                0.9999599363125918,
                0.9999646437450794,
                0.9999599363221628,
                0.9999038975392034,
                0.9998415637643255,
                0.9997965729539883,
                0.9999038976079472,
                0.9997040428306192
            ],
            [
                0.9999038975621705,
                0.9999251537816741,
                0.9999852610215426,
                0.9999646437577226,
                0.9999599363078239,
                0.9997694933404095,
                0.9998415638022159,
                0.9999724643023389,
                0.9999646437535196,
                0.9999546021475986
            ],
            [
                2.561281599881745e-06,
                4.222834954461155e-06,
                2.561282515886208e-06,
                2.9023116390104826e-06,
                2.9023133687786197e-06,
                1.7603425836246058e-06,
                4.22283545795623e-06,
                4.222833444106873e-06,
                2.561282515820982e-06,
                2.2603253754921562e-06
            ],
            [
                0.9999852610215426,
                0.9999251537817176,
                0.9999646437577213,
                0.9999339478317045,
                0.9982992775235368,
                0.9999151889687783,
                0.9999646437450808,
                0.9997694932025857,
                0.9998204720982624,
                0.9999724642957817
            ],
            [
                0.9999785550439235,
                0.999978555043919,
                0.999964643732439,
                0.9999898700090204,
                0.9999038975392727,
                0.9999832985701939,
                0.9999832985821384,
                0.9999687980737659,
                0.9999832985741741,
                0.9999898700102279
            ],
            [
                3.7266397274452643e-06,
                3.120191869868376e-05,
                6.962257907702715e-06,
                0.9902915227932566,
                6.144176797864436e-06,
                5.4222202613172164e-06,
                6.14417386791016e-06,
                4.785096775389454e-06,
                0.997199073024425,
                0.9579122699817195
            ],
            [
                0.9999832985841324,
                0.9999339478710831,
                0.9999251537549232,
                0.9999599363125918,
                0.9999885212305062,
                0.9999151889687481,
                0.9999687980774743,
                0.9999546021367783,
                0.9999646437492907,
                0.999964643736646
            ],
            [
                0.9997388096913081,
                0.9999339478396218,
                0.9998415637454183,
                0.9999785550490354,
                0.9998911030518618,
                0.9999852610110019,
                0.9999810748585295,
                0.9999485577863476,
                0.9999251537995464,
                0.9999339478632457
            ],
            [
                6.962255419279419e-06,
                2.260323489435463e-06,
                1.7603425837062577e-06,
                5.4222170304318e-06,
                2.902311984952413e-06,
                8.93969523573161e-06,
                6.475949525878687e-07,
                1.1478765385098868e-05,
                4.785096775389454e-06,
                2.5612819053166966e-06
            ],
            [
                0.9999339478474549,
                0.9997965730266685,
                0.9999546021151381,
                0.999915188928401,
                0.9999038975621215,
                0.9997965729786156,
                0.9999251537638694,
                0.9999339478474694,
                0.9999417087275438,
                0.9996200155150629
            ],
            [
                1.3007125350754073e-05,
                9.422448183618943e-07,
                5.829127216089646e-05,
                7.889266345957247e-06,
                1.7603440524340693e-06,
                4.222832437186393e-06,
                1.3709567163715878e-06,
                1.994729007606154e-06,
                2.75356812012127e-05,
                7.889264463675704e-06
            ],
            [
                6.962254588116627e-06,
                0.9890130578349252,
                4.222833944817311e-06,
                0.0001398220197910049,
                4.785092782501357e-06,
                6.144177531007026e-06,
                6.962255417721724e-06,
                0.9820137871756645,
                8.939694163769713e-06,
                0.9924227596390774
            ],
            [
                0.999664649850908,
                0.9997694932302121,
                0.999925153772803,
                0.9997388096908902,
                0.9999485577740902,
                0.9999485577802507,
                0.9997965729542457,
                0.9999417087205764,
                0.9998766054547386,
                0.9999417087414281
            ],
            [
                0.9999898700126433,
                0.9999885212305103,
                0.9999910603015651,
                0.9999885212305071,
                0.9999930377429205,
                0.9999921107402359,
                0.9999832985721862,
                0.9999724643089045,
                0.9999921107355341,
                0.999995214903794
            ],
            [
                4.222835456105047e-06,
                1.3709576968904135e-06,
                5.422218322457301e-06,
                3.288748672879957e-06,
                2.9023133686360798e-06,
                8.939694165298253e-06,
                4.7850933535006355e-06,
                6.962256247656188e-06,
                8.3152792848466e-07,
                4.222834450820197e-06
            ],
            [
                1.5534977545497995e-06,
                2.2603245671202796e-06,
                3.726640172120768e-06,
                2.90231094680735e-06,
                1.7603432131855856e-06,
                1.0677029972745947e-06,
                2.9023112929973233e-06,
                1.892514370434284e-05,
                7.889262582112126e-06,
                3.2887482807182155e-06
            ],
            [
                0.9998415638209155,
                0.9999151889687703,
                0.9998415637077078,
                0.9998415637645076,
                0.9997965730998575,
                0.9999151889889872,
                0.9998766053809636,
                0.9997965729540327,
                0.999925153772784,
                0.9999251537995218
            ],
            [
                1.9947292458603553e-06,
                4.7850933527085725e-06,
                6.60521443231476e-05,
                2.9023130227599746e-06,
                3.726641060244989e-06,
                6.962257906968191e-06,
                1.0677033790757595e-06,
                6.144176798255599e-06,
                6.962253759486771e-06,
                1.5534971984425963e-06
            ],
            [
                2.561281294558644e-06,
                1.3007128463069061e-05,
                8.939695237162584e-06,
                2.430024072471526e-05,
                1.4738983723235332e-05,
                6.962256248871951e-06,
                8.93969630348202e-06,
                2.7535684468004752e-05,
                4.785092783267308e-06,
                6.144175333837093e-06
            ],
            [
                0.9997965729546867,
                0.9999756997650667,
                0.9997040427609136,
                0.9996646498907349,
                0.9999646437493017,
                0.9998601779095931,
                0.999915188968843,
                0.9998415638210446,
                0.999769493257463,
                0.9997965729787457
            ],
            [
                0.9997388096601193,
                0.9992903294583633,
                0.9998766054105033,
                0.9998601778598297,
                0.9998911030908354,
                0.999769493367761,
                0.9997388097546285,
                0.999876605396149,
                0.9996646498964229,
                0.9982992773851793
            ],
            [
                0.9999339478238656,
                0.9999251537727409,
                0.9999810748540167,
                0.9997694933126087,
                0.999903897607966,
                0.999820472055214,
                0.9998415638211505,
                0.9999930377404308,
                0.9999646437492984,
                0.9998911030388833
            ],
            [
                0.9999957771675624,
                0.9999938558261308,
                0.9999921107364741,
                0.9999930377404306,
                0.9999930377429208,
                0.9999852610180293,
                0.9999756997621647,
                0.9999938558232009,
                0.999993037741261,
                0.9999687980923667
            ],
            [
                0.9980732649063958,
                1.8925148207344776e-05,
                1.0677031245312763e-06,
                1.1478772214371987e-05,
                0.9859363728534459,
                5.422221549482159e-06,
                0.9626731134590488,
                0.9999251537460335,
                1.012999338699898e-05,
                0.9669140204195271
            ],
            [
                0.9992903294591062,
                0.9999546021151307,
                0.9999599363173711,
                0.9999038975850983,
                0.9999251537370689,
                0.9999599363173874,
                0.9998204720341167,
                0.9999417087136441,
                0.9997694933406309,
                0.9999785550592568
            ],
            [
                6.962259569003389e-06,
                1.0129990978441666e-05,
                1.3007134663521234e-05,
                7.88925976359915e-06,
                6.962257079173776e-06,
                1.0129987354366822e-05,
                1.4738980213985297e-05,
                7.889259763857458e-06,
                8.939693105467234e-06,
                1.7603438427467903e-06
            ],
            [
                0.9999724643056213,
                0.9998204720984661,
                0.9999546021421996,
                0.999978555041362,
                0.9998601779260005,
                0.9999417087205921,
                0.9999756997505835,
                0.9999852610232999,
                0.9999251537816741,
                0.9999417087275401
            ],
            [
                0.999820472055645,
                0.9998204720767708,
                0.9998911030388207,
                0.9998766054398672,
                0.9998204720339496,
                0.9991959139569953,
                0.9999251537818069,
                0.9999151889486693,
                0.9999251537549232,
                0.9995694429136025
            ],
            [
                5.422218322664422e-06,
                1.1478766752372975e-05,
                8.93969416907082e-06,
                1.1478773597118638e-05,
                1.370957206783032e-06,
                1.9947294834796172e-06,
                1.012998977022003e-05,
                5.422217030362759e-06,
                8.939694167932546e-06,
                7.889261643899223e-06
            ],
            [
                0.9998415637267211,
                0.9998766054104549,
                0.9999485577679742,
                0.9999151889283845,
                0.999891103103726,
                0.999860177942768,
                0.9998204720556789,
                0.9999151889283524,
                0.999820471991097,
                0.9998601778760724
            ],
            [
                0.9999599362982833,
                0.9999974387184,
                0.9999756997476862,
                0.9999832985761654,
                0.9999921107402363,
                0.9999832985841305,
                0.999991060299434,
                0.9999832985801479,
                0.9999938558246657,
                0.9999910603058279
            ],
            [
                2.561283125931734e-06,
                0.9968273166707846,
                1.5534975692471157e-06,
                1.0129990977759901e-05,
                7.338209804987119e-07,
                4.539786316564981e-05,
                9.422445938557184e-07,
                3.2887494566352732e-06,
                0.9840936056349263,
                0.9980732655748694
            ],
            [
                2.1444948409679848e-05,
                6.962256247478891e-06,
                6.962257908044647e-06,
                1.0129988564099116e-05,
                1.1478769492642663e-05,
                4.785092783267308e-06,
                2.9023123309287002e-06,
                6.144173135483279e-06,
                6.96225541788636e-06,
                4.785096205651846e-06
            ],
            [
                7.889265400898766e-06,
                1.3007128458810347e-05,
                2.9023126767836054e-06,
                5.144220122131125e-05,
                5.422219615069953e-06,
                4.785096775580942e-06,
                0.9859363697800158,
                4.785095635017795e-06,
                1.670142380876899e-05,
                8.939693101369448e-06
            ],
            [
                0.9999339478789562,
                0.9999898700053989,
                0.999876605381012,
                0.9999546021368043,
                0.9999599363126209,
                0.9999687980998007,
                0.9998415637831543,
                0.9998766054546704,
                0.9999038975507166,
                0.999860177975949
            ],
            [
                5.422217676200406e-06,
                5.422220907909759e-06,
                3.7266388388875246e-06,
                1.9947301968382903e-06,
                7.889263524443698e-06,
                8.93969523678858e-06,
                8.939696296213323e-06,
                9.422444815628016e-07,
                3.2887498489407274e-06,
                8.939694169835089e-06
            ],
            [
                0.9997965730511625,
                0.9998766054545734,
                0.9999852610180298,
                0.9999785550439195,
                0.9999599363125974,
                0.999876605410471,
                0.9997388097536861,
                0.9999910603036963,
                0.9999646437493034,
                0.9999599362887218
            ],
            [
                0.9914225139843768,
                3.288749065125496e-06,
                7.889260701237816e-06,
                0.9770226306753883,
                1.0129990976451642e-05,
                1.3709576967781945e-06,
                5.4222196104343874e-06,
                3.2887490649221017e-06,
                4.222833443261934e-06,
                1.3007131541646312e-05
            ],
            [
                6.144176798691468e-06,
                1.209866116137134e-06,
                6.144176798590883e-06,
                4.785096205173126e-06,
                4.222835457595211e-06,
                6.962258738701267e-06,
                7.889265403883644e-06,
                8.939700562110258e-06,
                5.4222215550004564e-06,
                3.288750241042834e-06
            ],
            [
                1.2098659719601033e-06,
                1.7603438426203097e-06,
                0.9796676466202393,
                7.88926258185382e-06,
                4.2228334437304904e-06,
                8.939697363622378e-06,
                7.889264462470271e-06,
                0.9953904287521855,
                5.4222183222304545e-06,
                3.120191869595956e-05
            ],
            [
                0.9998601778759707,
                0.9999724643056221,
                0.9999151889182282,
                0.9998911031297203,
                0.9999038975392522,
                0.9997040429360429,
                0.9999785550567011,
                0.9998766053663058,
                0.9997388095663394,
                0.9999151889586547
            ],
            [
                1.5534977544141614e-06,
                7.889263525663481e-06,
                6.962254587951994e-06,
                1.994730672225833e-06,
                6.96225375863827e-06,
                2.5612822093330395e-06,
                4.222832437386106e-06,
                8.939693105662367e-06,
                3.2887478883351803e-06,
                5.422218322763051e-06
            ],
            [
                0.9996200155605424,
                0.9998766053809636,
                0.9999151889182842,
                0.9999417087483646,
                0.9986749773979287,
                0.9999756997563752,
                0.9999546021259487,
                0.9998766053812616,
                0.9999339478789471,
                0.9997040427600956
            ],
            [
                0.9999485577679679,
                0.9999151889485612,
                0.9995694428583277,
                0.99995993630783,
                0.9999038975964927,
                0.9997965730507836,
                0.9999485577679709,
                0.9992903295453379,
                0.9999417087553318,
                0.9996646500116203
            ],
            [
                5.422220261849814e-06,
                4.785093923982095e-06,
                8.939696296571067e-06,
                0.998498817680967,
                1.3709576968380446e-06,
                4.785096775920397e-06,
                1.553497939625029e-06,
                3.7266410607194972e-06,
                2.561282210460501e-06,
                1.147876812069122e-05
            ],
            [
                0.9999251537995594,
                0.9997965730027248,
                0.9997040427597426,
                0.9999485577802474,
                0.9998204719699032,
                0.999738809628649,
                0.9998601779759897,
                0.9998911030518365,
                0.9999417087483762,
                0.9999339478474597
            ],
            [
                0.999975699747687,
                0.9999687980923503,
                0.9999687980849155,
                0.9999646437492953,
                0.9999810748495053,
                0.9999339478553833,
                0.9999646437408763,
                0.9999869928684354,
                0.999941708741432,
                0.9998911030647897
            ],
            [
                1.473898020682712e-05,
                4.222832437109582e-06,
                4.222833444283541e-06,
                8.93969736456552e-06,
                1.5534984950317006e-06,
                1.3709575330308287e-06,
                1.067702487977091e-06,
                7.8892625810789e-06,
                6.962257077033528e-06,
                1.6701415859504925e-05
            ],
            [
                0.9999930377437508,
                0.9999852610197902,
                0.999983298576167,
                0.9999810748562732,
                0.9999938558232009,
                0.9999852610127579,
                0.9999546021313795,
                0.9999910603058279,
                0.9999852610232999,
                0.9999832985801479
            ],
            [
                0.999986992876188,
                0.9999910603015649,
                0.9998204720339496,
                0.9999687980849095,
                0.9999687980960674,
                0.9999910603068939,
                0.9999832985721839,
                0.9999885212332433,
                0.9999852610110026,
                0.9999785550567057
            ],
            [
                4.222832436955956e-06,
                7.889263524960312e-06,
                5.422217029391264e-06,
                1.5534981247144094e-06,
                5.422218322348809e-06,
                3.2887502411564953e-06,
                4.222833946845163e-06,
                8.939698433373153e-06,
                2.260324297702111e-06,
                1.5534977544367678e-06
            ],
            [
                0.9999251537995403,
                0.9999339478317142,
                0.9998415638398986,
                0.9997965730752747,
                0.9999546021313669,
                0.9999038975621705,
                0.9994472213213994,
                0.9999724643121878,
                0.9999038976195891,
                0.9995694428597932
            ],
            [
                2.144494329348333e-05,
                1.0129990976728036e-05,
                3.2887478890769702e-06,
                1.7603440526662173e-06,
                2.144494584573034e-05,
                8.939700564468113e-06,
                1.4738978455325741e-05,
                3.726639283440905e-06,
                1.0129992184268048e-05,
                1.0129988561648438e-05
            ],
            [
                0.9997040429357845,
                0.9999599362934934,
                0.9999417087136211,
                0.9998601779425829,
                0.9999869928761884,
                0.9999687980774731,
                0.9998911031167164,
                0.9998911031038012,
                0.9999485577924884,
                0.9999724642990556
            ],
            [
                0.999569442912851,
                0.999290329627318,
                0.9984988177142963,
                0.9998204720769719,
                0.9986749777034069,
                0.9999546021313874,
                0.9982992774927028,
                0.9997040429359567,
                0.9999687980960685,
                0.9993736659839128
            ],
            [
                0.9998911031037506,
                0.9999646437408798,
                0.9999417087066922,
                0.9999687980774782,
                0.9997965729543316,
                0.9998601778759911,
                0.9999485577679555,
                0.999373665973456,
                0.9999646437366654,
                0.9999038976079961
            ],
            [
                0.9999546021151307,
                0.9999756997476829,
                0.9999756997563736,
                0.9999687980923541,
                0.9999724643089054,
                0.9999785550592579,
                0.9998766054398994,
                0.9999785550439251,
                0.9999485577863566,
                0.9999599363030427
            ],
            [
                0.9669140198236429,
                0.9988304898950043,
                0.9820137878994503,
                0.9953904286496285,
                2.2603245665981198e-06,
                2.1444940719392548e-05,
                1.4738976691867467e-05,
                0.9997388096282387,
                0.9914225154970747,
                0.9796676466202393
            ],
            [
                1.300713311112477e-05,
                1.3007131538428617e-05,
                2.9023112930949896e-06,
                5.144223812641715e-05,
                1.6701417854810315e-05,
                0.9992903294491581,
                5.422219615750493e-06,
                4.7850967748236935e-06,
                4.7850933534310035e-06,
                1.6701425823882575e-05
            ],
            [
                0.9999251537638144,
                0.9999251537549547,
                0.9991959139583046,
                0.9999339478474747,
                0.9997388097532681,
                0.9999599363173941,
                0.99994170874144,
                0.9999339478710932,
                0.9999417087066845,
                0.9999417087275172
            ],
            [
                0.9999417087483685,
                0.9988304900059719,
                0.9992903295383205,
                0.9998204720126564,
                0.9999599363173789,
                0.9998766053957325,
                0.9999251537370755,
                0.9999417087136441,
                0.9999038976080374,
                0.9995121427666085
            ],
            [
                0.999989870006605,
                0.9999832985821387,
                0.999959936298269,
                0.999997438717484,
                0.9999724643056193,
                0.9999646437493,
                0.9999546021205397,
                0.9999910603015668,
                0.9999687980849105,
                0.9999869928699859
            ],
            [
                1.0129993388546776e-05,
                6.962259565520738e-06,
                2.430023781444595e-05,
                4.222832940777184e-06,
                1.0129987351289655e-05,
                0.9989677689513609,
                6.1441738684354385e-06,
                1.1478765381674627e-05,
                6.962254578922433e-06,
                3.726641057519953e-06
            ],
            [
                0.9998601779592853,
                0.9996646498111788,
                0.999933947839643,
                0.9994472213905395,
                0.9998204719913294,
                0.9999038975736347,
                0.9998766054398994,
                0.9998911030907847,
                0.9999546021151283,
                0.9998911030910144
            ],
            [
                1.1478770852651185e-05,
                6.962259568078904e-06,
                1.0129989769188164e-05,
                3.2887490649221017e-06,
                1.4738983718463215e-05,
                3.288750633025344e-06,
                4.785096204285318e-06,
                1.670141982903278e-05,
                0.9914225127251147,
                2.2603240274740096e-06
            ],
            [
                1.1478765385432939e-05,
                1.3007133112307748e-05,
                8.93969417150998e-06,
                1.3709578605118645e-06,
                8.93969630333567e-06,
                7.889259763326495e-06,
                4.2228329408924035e-06,
                3.726639283806955e-06,
                8.315280275794301e-07,
                7.889259758619574e-06
            ],
            [
                1.9947306726049992e-06,
                0.984093605664083,
                1.6701425814404263e-05,
                2.561283126639892e-06,
                1.1478773594675732e-05,
                1.760343632854606e-06,
                1.3709572067181944e-06,
                0.9975273773895044,
                1.4738981963771067e-05,
                1.1478764016446877e-05
            ],
            [
                2.2603242976404388e-06,
                4.222833947674739e-06,
                5.422220907909759e-06,
                3.28874867308036e-06,
                2.260324028255194e-06,
                3.726639728184142e-06,
                1.994730434555632e-06,
                5.422220907298259e-06,
                5.4222183222304545e-06,
                7.889265401214474e-06
            ],
            [
                0.9999485578047674,
                0.9999151889890187,
                0.9999687980997889,
                0.9999151889182053,
                0.999933947839643,
                0.9999546021205397,
                0.9999251537638628,
                0.9999485577618298,
                0.9999599363125955,
                0.9999869928653335
            ],
            [
                0.9914225126379961,
                3.2887478889034873e-06,
                0.9669140186318741,
                7.8892607025437e-06,
                0.962673111584966,
                3.7266388396128453e-06,
                5.8291258344564946e-05,
                0.9890130597475983,
                3.2887494572514376e-06,
                7.889262575797963e-06
            ],
            [
                2.561281905058126e-06,
                2.5612834318257725e-06,
                3.2887478889513447e-06,
                2.561282821209454e-06,
                7.889266344321303e-06,
                7.88925976283858e-06,
                2.9023130227124616e-06,
                4.785092782396909e-06,
                3.7266410607194972e-06,
                6.144173135628569e-06
            ],
            [
                0.9999756997592695,
                0.9999546021367857,
                0.9999599362887179,
                0.9999339478474795,
                0.9999785550413645,
                0.9999485577740872,
                0.9999810748472546,
                0.9999785550464778,
                0.9999646437535196,
                0.9998601778593883
            ],
            [
                5.829124428395517e-05,
                4.222834451215781e-06,
                2.9023126768258393e-06,
                7.889262584350785e-06,
                1.67014178343955e-05,
                0.9924227579022381,
                1.5534983099790112e-06,
                2.144494583184375e-05,
                4.222835457733473e-06,
                8.939695235959266e-06
            ],
            [
                0.998674977738838,
                0.9986749776863075,
                0.999373665902372,
                0.9991959139701834,
                0.9997388097532681,
                0.9996200155639362,
                0.9997965729784852,
                0.9995694428596054,
                0.9964063973552191,
                0.9995121427740732
            ],
            [
                0.998830489886165,
                0.9994472212584338,
                2.561282820785491e-06,
                4.785093923516432e-06,
                0.9990889489856847,
                5.422218966643064e-06,
                0.992422757982777,
                3.7266383946527958e-06,
                1.4738981961519057e-05,
                0.9947798755034115
            ],
            [
                4.785095064044355e-06,
                3.7266383943816487e-06,
                0.9740426442150328,
                4.785096775389454e-06,
                1.3007130004960144e-05,
                4.785096772656398e-06,
                7.889263520942206e-06,
                0.9988304896073862,
                1.760343422928825e-06,
                1.5534971989427613e-06
            ],
            [
                2.902311984989368e-06,
                1.760343213227212e-06,
                6.47594566594213e-07,
                6.475950297768503e-07,
                1.2098655391947376e-06,
                6.144172403201774e-06,
                8.315283250150648e-07,
                5.422220908116881e-06,
                9.422443692090534e-07,
                1.2098653949688097e-06
            ],
            [
                0.9997388095664763,
                0.9999687980737504,
                0.9998766053957648,
                0.9998601779593056,
                0.9999251537638443,
                0.9998415637077608,
                0.9999724643089054,
                0.9997965730028107,
                0.9999251537906317,
                0.9999485577740932
            ],
            [
                0.985936372788878,
                1.2098652507847127e-06,
                4.785094493836935e-06,
                6.962259567914269e-06,
                7.88926634455091e-06,
                3.288749065167371e-06,
                6.962257908348587e-06,
                1.2098655391243142e-06,
                1.3007130011300897e-05,
                1.2098661161602417e-06
            ],
            [
                0.9999251537370814,
                0.9998415638212037,
                0.9999151889889798,
                0.9999546021097344,
                0.9999599362982671,
                0.9998601779430081,
                0.9999646437450779,
                0.9999756997650627,
                0.9999756997476837,
                0.9999151889182207
            ],
            [
                2.7535681231364308e-05,
                8.939696297969519e-06,
                4.785096204024198e-06,
                1.0129992181043471e-05,
                0.9982992772990025,
                0.0001795279180521956,
                0.9964063971934826,
                0.9820137869124695,
                1.4738980190151517e-05,
                1.0129988562422337e-05
            ],
            [
                8.939694169330997e-06,
                0.00017952794041096862,
                6.144176797115634e-06,
                0.9988304897707098,
                4.222833444037741e-06,
                1.7603432129198161e-06,
                1.6701429797422853e-05,
                0.9986749775126949,
                2.4300249345288436e-05,
                8.315283250006957e-07
            ],
            [
                0.9999810748540172,
                0.9999417087484003,
                0.9999687980811913,
                0.9999339478789813,
                0.9999251537549232,
                0.9999687980997889,
                0.9999417087275244,
                0.9999724643121954,
                0.999975699750582,
                0.9998601779260005
            ],
            [
                0.9999546021313795,
                0.9999810748472509,
                0.9999952149032236,
                0.9999599363173769,
                0.9998204719914313,
                0.9999921107374156,
                0.9999910603026309,
                0.9999832985801475,
                0.999975699759271,
                0.9999852610180284
            ],
            [
                1.4738981964307261e-05,
                1.8925150486764003e-05,
                1.1478766755734576e-05,
                1.147876674819707e-05,
                1.0129990977759901e-05,
                1.1478770860982112e-05,
                8.939699498099386e-06,
                1.1478770858706246e-05,
                6.9622545892184106e-06,
                2.144495863614743e-05
            ],
            [
                0.9998911031037886,
                0.9999756997534839,
                0.9998415638023519,
                0.9999599363221485,
                0.999948557798623,
                0.9997965730994728,
                0.9999151889486347,
                0.9999417087344762,
                0.9998601779260412,
                0.9999646437324302
            ],
            [
                1.0129990977262395e-05,
                3.7266379509129646e-06,
                7.889261638546534e-06,
                5.422218967944967e-06,
                2.9023130228444433e-06,
                2.9023123307122503e-06,
                2.2603234886501675e-06,
                4.785093352360413e-06,
                7.889259757041033e-06,
                1.3007130004960144e-05
            ],
            [
                3.288749064371741e-06,
                4.222835457526079e-06,
                7.88926258343236e-06,
                1.0129987355785634e-05,
                4.222833444168322e-06,
                0.9902915224530068,
                3.120191872229351e-05,
                4.78509563374701e-06,
                6.962254588281262e-06,
                6.144174599867732e-06
            ],
            [
                0.9999724643056184,
                0.9998911030388706,
                0.9996200154706668,
                0.9998601778593273,
                0.9999785550541442,
                0.9999546021421896,
                0.9999251537727775,
                0.9999599363078182,
                0.999975699767967,
                0.9999646437324317
            ],
            [
                0.9999599362935213,
                0.9998415637077078,
                0.9997388097531315,
                0.9996200155603987,
                0.9994472212573725,
                0.9998415637831289,
                0.9998601778926528,
                0.999925153746002,
                0.99994855779862,
                0.9997694933672714
            ],
            [
                4.222832436379863e-06,
                3.7266401716055872e-06,
                6.144177530291754e-06,
                6.9622562487453084e-06,
                1.4738985478142165e-05,
                4.785095634756674e-06,
                4.785093353100252e-06,
                7.889262584350785e-06,
                8.481102065203587e-05,
                1.0129995806888955e-05
            ],
            [
                5.42221702914469e-06,
                1.147876812069122e-05,
                1.0677024881266355e-06,
                8.939698431129126e-06,
                0.987568351433603,
                3.28874867308036e-06,
                3.7266388394569345e-06,
                0.9971990728143731,
                1.3007133111929193e-05,
                2.2603245668941476e-06
            ],
            [
                0.9999687980923503,
                0.9999485578047547,
                0.9999724643154672,
                0.9999251537549112,
                0.999968798081195,
                0.999981074858529,
                0.9999646437408665,
                0.9999339478789965,
                0.9999599362934897,
                0.9999832985841317
            ],
            [
                4.222834954403545e-06,
                0.9968273166707846,
                2.430023491169112e-05,
                6.9622537584863015e-06,
                0.9968273172171594,
                6.144177530425867e-06,
                1.3007129996348077e-05,
                0.9984988178884456,
                6.475951069755593e-07,
                0.998073265686804
            ],
            [
                0.9998911030519537,
                0.9998766054692957,
                0.999876605410471,
                0.9997694932024783,
                0.9997388097539673,
                0.9999599363221545,
                0.9998911031297076,
                0.9999756997505892,
                0.9999724642990546,
                0.9999038975966479
            ],
            [
                0.9996200155608962,
                0.9997388097219424,
                0.999512142825305,
                0.9998415637645076,
                0.999841563746405,
                0.9994472213235218,
                0.999512142767091,
                0.9999417087344882,
                0.9996646499312641,
                0.9999938558261309
            ],
            [
                0.999933947823881,
                0.9999898700053983,
                0.9999921107374147,
                0.9999687980774709,
                0.9999898700053977,
                0.9999952149055054,
                0.9999599362934953,
                0.9999785550541473,
                0.9999546021097218,
                0.9998415637076571
            ],
            [
                3.288747889178668e-06,
                8.315280275416164e-07,
                4.7850933534310035e-06,
                3.726639282342757e-06,
                6.144172404129392e-06,
                1.1478766745190422e-05,
                3.2887494541825796e-06,
                3.726638395320497e-06,
                8.315278293762888e-07,
                1.670142183825232e-05
            ],
            [
                0.999972464312192,
                0.9999646437408634,
                0.9999869928668843,
                0.9999756997679626,
                0.9999910603058276,
                0.9999724643187494,
                0.9999852610233005,
                0.9999952149037941,
                0.9999485577679644,
                0.9999724643187523
            ],
            [
                2.260324567177841e-06,
                6.962257078553231e-06,
                3.7266397276079535e-06,
                1.067703378997103e-06,
                1.553497198826904e-06,
                2.9023130226068764e-06,
                9.42244930849811e-07,
                6.962257077223492e-06,
                7.889265405146477e-06,
                8.939694164907986e-06
            ],
            [
                1.0129993391808207e-05,
                3.2887506334560605e-06,
                2.90231233035854e-06,
                0.00013982213878477662,
                3.2887494572095624e-06,
                4.2228324370327694e-06,
                3.28874984790581e-06,
                2.260324836651547e-06,
                5.422219614576807e-06,
                4.785096775920397e-06
            ],
            [
                2.260323758516393e-06,
                1.0677024880703136e-06,
                3.726641060536473e-06,
                1.2098661159577745e-06,
                2.5612819051722694e-06,
                7.338211554531576e-07,
                3.2887506332466845e-06,
                3.7266410605974813e-06,
                1.760342793362967e-06,
                5.42222155426567e-06
            ],
            [
                0.9840936108831304,
                6.144172403827636e-06,
                6.96225707894582e-06,
                4.222832437497486e-06,
                4.785095634843714e-06,
                4.22283394762097e-06,
                6.962257078249291e-06,
                1.067703251797684e-06,
                4.2228319341064674e-06,
                9.422445938642879e-07
            ],
            [
                0.9999724643187485,
                0.9999810748449934,
                0.9999756997650652,
                0.9999546021313577,
                0.999991060306894,
                0.9999724643023361,
                0.9999339478553375,
                0.9999724643056177,
                0.9999687980960674,
                0.9999546021097268
            ],
            [
                0.9999251537906132,
                0.9998204720128602,
                0.999860177892673,
                0.9997694933123941,
                0.999769493258013,
                0.9998415637455751,
                0.9997965730754463,
                0.9998766054398833,
                0.9999339478553327,
                0.9997694932852572
            ],
            [
                0.9999885212291382,
                0.9999869928746379,
                0.9999852610180304,
                0.9999921107364742,
                0.9999646437619372,
                0.9999952149055055,
                0.9999810748472515,
                0.9999852610233009,
                0.9999832985741748,
                0.9999952149037944
            ],
            [
                0.9999339478789658,
                0.9993736659811072,
                0.999941708748449,
                0.9999724643187476,
                0.9997694933402419,
                0.9999485577802507,
                0.9998766054546057,
                0.9993736659769537,
                0.9998766054692795,
                0.9998415638397973
            ],
            [
                0.9990889487806979,
                0.996827317070625,
                1.6701425809239798e-05,
                0.999769493313863,
                0.9992903297082659,
                1.0129995799905438e-05,
                0.9796676455813852,
                4.006370640437078e-05,
                0.9902915235991113,
                0.9968273170463253
            ],
            [
                0.9999687980886347,
                0.999915188948523,
                0.9998415637455474,
                0.9999485577802218,
                0.9999599362887142,
                0.9998415638398733,
                0.9999724642990556,
                0.9999339478711082,
                0.9997694933674324,
                0.9999724642990586
            ],
            [
                1.370957206753107e-06,
                3.7266406165319545e-06,
                4.785092782692845e-06,
                4.785095634843714e-06,
                4.78509563546605e-06,
                4.785093353187292e-06,
                5.422217676101776e-06,
                6.144172403201774e-06,
                1.0677032518093368e-06,
                7.889259763326495e-06
            ],
            [
                1.7603425834564988e-06,
                6.605213663177151e-05,
                4.785094494185095e-06,
                7.88926164064169e-06,
                3.288749848677511e-06,
                3.12019187588432e-05,
                7.889263524443698e-06,
                8.939694167639847e-06,
                0.9902915248526631,
                4.0063682507140856e-05
            ],
            [
                0.9999724643154838,
                0.9999810748517645,
                0.999933947823871,
                0.9999251537906992,
                0.9998766054547565,
                0.9999687980737552,
                0.9999852610110015,
                0.9999852610110012,
                0.9999151889586856,
                0.9999599362982728
            ],
            [
                9.422443692330485e-07,
                1.994729008056074e-06,
                3.7266379512112265e-06,
                1.6701427807888088e-05,
                2.260324836624822e-06,
                7.889263525405172e-06,
                1.3007126909159127e-05,
                1.7603440525701563e-06,
                6.962253756460032e-06,
                5.422217030288788e-06
            ],
            [
                2.1444950922218033e-05,
                4.222834954461155e-06,
                6.144174597520747e-06,
                4.785093353274332e-06,
                7.88925976316864e-06,
                1.553497569203316e-06,
                1.670141785596473e-05,
                2.9023116389761676e-06,
                1.0129992184544441e-05,
                1.0129987350552609e-05
            ],
            [
                0.9999646437450841,
                0.9999251537817047,
                0.9997388097850195,
                0.9999485578047547,
                0.9999785550413688,
                0.9999546021151592,
                0.9999724643056201,
                0.9999251537817236,
                0.9999417087553126,
                0.9999938558232012
            ],
            [
                3.726639727750306e-06,
                6.1441738684354385e-06,
                0.9998204719699711,
                0.00010889688174031335,
                5.144222579414667e-05,
                7.889263524257144e-06,
                2.561281905100056e-06,
                1.994729483630195e-06,
                7.8892607025437e-06,
                8.315282257115289e-07
            ],
            [
                0.9999251537995529,
                0.9995121428247089,
                0.9999646437324408,
                0.9998415637454944,
                0.9999151889485459,
                0.9999038975506866,
                0.9998601779259803,
                0.9999785550567105,
                0.9998204719484768,
                0.9999151889384149
            ],
            [
                4.78509449410676e-06,
                3.2887502408573863e-06,
                4.785092783149804e-06,
                3.2887486731252264e-06,
                3.72664017246987e-06,
                1.5534981249291695e-06,
                1.0677032518578904e-06,
                1.0677028699489821e-06,
                4.7850956342431385e-06,
                1.0129992183070348e-05
            ],
            [
                0.9999251537995856,
                0.9999599362934974,
                0.9999151889182682,
                0.9999339478632058,
                0.9997388097219424,
                0.9999724643056184,
                0.9999599363221485,
                0.9998911031167418,
                0.9999724643121954,
                0.9999687980737735
            ],
            [
                0.9982992779799185,
                0.9999687980737526,
                0.9998415638022711,
                0.9999251537817047,
                0.999876605439851,
                0.9999832985841314,
                0.9998415638022435,
                0.9998911030389229,
                0.9997040430079097,
                0.9998204719699032
            ],
            [
                0.9999832985721833,
                0.999925153737113,
                0.9999485577740842,
                0.9999599362934879,
                0.9999599363078219,
                0.9999785550490315,
                0.9999038976194604,
                0.999915188978879,
                0.9999724642990546,
                0.9999885212346133
            ]
        ]
    },
    {
        "q_id": "10582_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9399133468805266,
                6.605213674374218e-05,
                0.9324533140223229,
                1.3007133113703658e-05,
                0.9706877693546394,
                1.8925157262578186e-05,
                0.8670357477770336,
                0.32082129433083023,
                0.9859363698962378,
                1.5534983101393749e-06
            ],
            [
                0.9324533140223229,
                0.7772998714925403,
                0.9579122743372328,
                0.4687906266262437,
                0.3775406687981454,
                0.6224593312018546,
                0.9740426406358641,
                1.8925143712742298e-05,
                0.34864514210180597,
                0.9820137883929407
            ],
            [
                0.9999898700066056,
                0.9999485578047457,
                0.9999910603058274,
                0.9999945777784449,
                0.9999485577863476,
                0.9999852610180284,
                0.9999646437450749,
                0.9999810748427369,
                0.9999810748449911,
                0.9999898700053976
            ],
            [
                5.715006514040971e-07,
                3.0590229985449037e-07,
                0.7310585786300049,
                7.889260704308795e-06,
                4.222832939870796e-06,
                2.699578739999358e-07,
                0.9626731103801985,
                1.7603425836870455e-06,
                0.5312093733737563,
                0.9324533126145178
            ],
            [
                0.9999599363173639,
                0.9997965729541156,
                0.9999756997476807,
                0.9999687980886287,
                0.9999952149043645,
                0.9999546021259487,
                0.9999151889485385,
                0.9999832985721826,
                0.9997965729781864,
                0.9998911031036888
            ],
            [
                0.999860177942768,
                0.9933071482924922,
                0.9999898700090203,
                0.99998329858413,
                0.9999251537816741,
                0.999891103064765,
                0.9999599362934879,
                0.9997388097220792,
                0.9999970976887068,
                0.9999756997476837
            ],
            [
                6.605213673845602e-05,
                8.315277302701984e-07,
                5.422220908560712e-06,
                4.222834451292594e-06,
                2.7535697655983693e-05,
                5.422220262264056e-06,
                1.7603438428660665e-06,
                7.484622717680992e-05,
                1.7603440526662173e-06,
                0.9525741310298373
            ],
            [
                0.9924227580107906,
                0.32082129433083023,
                0.9953904287991907,
                0.9968273178835598,
                0.9991959139627474,
                0.9997965729783136,
                0.9840936057223965,
                0.999512142940654,
                0.9968273177303982,
                0.9989677688158317
            ],
            [
                0.996406397039249,
                0.9975273763000972,
                0.999447221254221,
                0.9992903296218278,
                0.999664649810164,
                0.9975273763379997,
                0.9997388096282387,
                0.9993736657503304,
                0.9980732653337623,
                0.9706877688246606
            ],
            [
                0.9997040427599234,
                0.9975273768864361,
                0.9875683470315342,
                0.9999546021313743,
                0.9995121428807939,
                0.9968273172863767,
                0.9933071504192673,
                0.995390427976598,
                0.9971990732891031,
                0.000335350268133548
            ],
            [
                1.8553903548231313e-07,
                0.97966764624922,
                0.2018132126589859,
                5.422220262333096e-06,
                0.000379984567693318,
                8.481108174040254e-05,
                2.753568781693781e-05,
                0.9149009625340367,
                1.1478765388523107e-05,
                9.61024033409101e-05
            ],
            [
                0.9959298625106149,
                0.9994472213206277,
                0.9996646499292348,
                0.9997694933672178,
                0.9986749773645001,
                0.9997965730750646,
                0.9980732649171415,
                0.9980732651067588,
                0.9999038975621116,
                0.9999251537727589
            ],
            [
                0.9999339478710788,
                0.9999724643121813,
                0.999972464315468,
                0.999820471991165,
                0.999948557798614,
                0.999903897550667,
                0.9999869928761873,
                0.9999038976194108,
                0.9984988178894925,
                0.9998766053956859
            ],
            [
                0.9998911031166554,
                0.999860177859307,
                0.9999339478474458,
                0.9995694429112603,
                0.9997965730992242,
                0.9996646499697348,
                0.9998204720338529,
                0.9998766054545734,
                0.9999599363221447,
                0.9989677691659986
            ],
            [
                3.9278638755992735e-07,
                2.6995784182140636e-07,
                9.422450431140731e-07,
                4.450851580555361e-07,
                4.4508510499737865e-07,
                9.931199245292204e-08,
                1.6373762769170251e-07,
                8.315278294001114e-07,
                6.475947982022763e-07,
                9.422448185478557e-07
            ],
            [
                0.9984988175174622,
                2.3823693839057394e-07,
                1.4738985483879434e-05,
                8.939698434966738e-06,
                5.829127245988703e-05,
                7.338209805133949e-07,
                0.9890130580170846,
                0.7981867849406659,
                3.7266410609160796e-06,
                0.8519528038477824
            ],
            [
                0.9924227590928134,
                0.9399133515091156,
                0.9940889321862809,
                0.987568349581304,
                0.9840936086963789,
                0.9947798741879537,
                0.974042643508618,
                0.9982992778828707,
                0.991422513263667,
                0.999738809597118
            ],
            [
                5.422218323231539e-06,
                3.726637951079042e-06,
                1.6701429804288556e-05,
                1.994730197071414e-06,
                1.2098652508144226e-06,
                5.42222090882208e-06,
                4.785096776068365e-06,
                4.785096205882502e-06,
                7.889264466545779e-06,
                1.9947301970287804e-06
            ],
            [
                6.144173869072478e-06,
                0.9046505421702797,
                4.22283545795623e-06,
                0.8519528038477825,
                1.012999460108057e-05,
                0.9399133521402868,
                0.7310585903489892,
                1.473898197154587e-05,
                0.9902915227037171,
                3.288749457409966e-06
            ],
            [
                5.715006514040971e-07,
                7.338213304316717e-07,
                1.4449802095609418e-07,
                9.422445938964242e-07,
                5.715002426410745e-07,
                5.144223190750916e-05,
                8.93969310647542e-06,
                9.422448185435711e-07,
                3.466327863983311e-07,
                1.7603430034439723e-06
            ],
            [
                4.2228344508893285e-06,
                2.2603253755949437e-06,
                0.9996646498899543,
                8.481104129844762e-05,
                6.144176799227922e-06,
                0.9046505395995927,
                1.3709570433885908e-06,
                5.1442207475397105e-05,
                3.1201907631845964e-05,
                9.610240346745984e-05
            ],
            [
                0.9990889487604059,
                1.760344052714248e-06,
                0.7549149978955811,
                2.1444953517842076e-05,
                0.9940889325009536,
                4.006369217003476e-05,
                7.338207180864763e-07,
                3.927860597945825e-07,
                5.144220748924517e-05,
                0.00012339458903165123
            ],
            [
                5.144223817619536e-05,
                6.1441767989541075e-06,
                0.679178699175393,
                0.9940889303803325,
                5.422219615967477e-06,
                7.48462360195503e-05,
                0.00010889696098363736,
                0.9999038975507067,
                4.539786860136322e-05,
                0.9959298627069243
            ],
            [
                0.00012339458941227732,
                0.40733340004593027,
                1.8925145979561802e-05,
                0.0005527786030610526,
                4.0063706494441236e-05,
                0.9820137896431163,
                2.9023133690188264e-06,
                0.0009110513110666774,
                0.9525741296834681,
                3.120192250564146e-05
            ],
            [
                0.9998204720341507,
                0.999941708741406,
                0.9999646437366535,
                0.9996200154699372,
                0.9998766054546381,
                0.9999869928761888,
                0.9991959140476753,
                0.9996200154694398,
                0.9999785550464746,
                0.9971990726589478
            ],
            [
                4.785094494628999e-06,
                2.102433159721477e-07,
                5.422220262195015e-06,
                7.338210679909462e-07,
                2.4300232038197563e-05,
                1.553498124964492e-06,
                7.338212429537553e-07,
                0.0001795279652511508,
                1.300712536203966e-05,
                5.8291293278964903e-05
            ],
            [
                0.9740426398352605,
                0.9324533051062238,
                0.00023050663207130657,
                0.8670357666736773,
                0.9933071503109164,
                0.9770226292536687,
                0.962673111584966,
                0.9796676484753359,
                0.9399133496156019,
                0.9149009578933863
            ],
            [
                0.9997388096906166,
                0.9999852610180293,
                0.9999599362982566,
                0.9999646437619328,
                0.9997694933395409,
                0.9999810748517598,
                0.9997388095659367,
                0.9998415638019853,
                0.9999339478789374,
                0.9999869928715355
            ],
            [
                5.422219616026655e-06,
                6.605216819020694e-05,
                5.8291272439530227e-05,
                4.785096205930373e-06,
                5.71500515159253e-07,
                0.8933093961129794,
                4.450848927637999e-07,
                2.260324567268294e-06,
                2.260324028427877e-06,
                1.4738983725406915e-05
            ],
            [
                8.481105141464207e-05,
                0.46879062662624377,
                1.5534981249496567e-06,
                1.0129990978441666e-05,
                4.006368737677271e-05,
                0.0015011819747478168,
                3.7266401721817755e-06,
                0.010986940495280761,
                3.288749457409966e-06,
                1.8925141466439755e-05
            ],
            [
                0.22270014914315836,
                0.9149009584734676,
                0.24508500210441886,
                0.9706877703615993,
                0.8670357615200474,
                0.6224593312018546,
                0.9324533055754922,
                0.7772998560157665,
                0.22270012850745968,
                0.26894141551050293
            ],
            [
                0.999512142940654,
                0.9997388096285806,
                0.9998766054103759,
                0.9991959142440937,
                0.9990889490036984,
                0.9999339478631961,
                0.9999724643154654,
                0.9989677689193093,
                0.9996646498097153,
                0.9998415637453423
            ],
            [
                0.00010889688319328668,
                0.8175744828610095,
                0.0008040857745192549,
                0.20181322946142374,
                0.00043055708600913886,
                0.5312093733737563,
                0.9465966683169887,
                0.00026119021127946046,
                0.8519528019683106,
                0.3486451285660856
            ],
            [
                0.9999885212305064,
                0.9999485577802376,
                0.9999852610110006,
                0.9999982396572064,
                0.999992110736474,
                0.9999869928653335,
                0.999989870006605,
                0.9999885212305066,
                0.9999852610110012,
                0.9999957771650453
            ],
            [
                0.9999977396748938,
                0.9999952149055052,
                0.9999977396748938,
                0.9999869928668845,
                0.9999952149055054,
                0.9999977396757023,
                0.999997438717484,
                0.9999885212277702,
                0.9999945777829693,
                0.9999832985841289
            ],
            [
                0.999664649970408,
                0.998830490003932,
                0.9988304898728381,
                0.9997388095973233,
                0.9991959139554519,
                0.9998601779258989,
                0.9982992777115052,
                0.9971990735121612,
                0.9978172831601356,
                0.9984988176937055
            ],
            [
                0.00029595720455652185,
                4.222834451254188e-06,
                5.1442195174572826e-05,
                5.1442219768738885e-05,
                0.5312093733737563,
                6.475947982002148e-07,
                7.889259763010786e-06,
                8.315279285251204e-07,
                3.4663270375278157e-07,
                7.88925976359915e-06
            ],
            [
                0.9999885212318744,
                0.9999885212305063,
                0.9998415637077608,
                0.9998911031167418,
                0.9999810748562717,
                0.99995460213136,
                0.9999756997650606,
                0.9999832985721826,
                0.9999832985821384,
                0.9999417087483723
            ],
            [
                0.7981867777396211,
                7.338207180714596e-07,
                0.9399133473013075,
                0.00010889696079508345,
                0.92414182206801,
                0.00012339458944639003,
                0.9875683478776462,
                0.0013250225977580418,
                0.9859363731117173,
                4.0063696955427154e-05
            ],
            [
                1.9947290080905435e-06,
                1.1478768125577027e-05,
                8.939698435096828e-06,
                3.288747889178668e-06,
                7.88925976359915e-06,
                2.260323489490968e-06,
                7.484625395279873e-05,
                1.0677026154619133e-06,
                1.9947304348332037e-06,
                1.012998977108606e-05
            ],
            [
                0.9992903295358437,
                0.999373665822981,
                0.9997040429724672,
                0.9706877689306563,
                0.9988304894575255,
                0.9875683493983609,
                0.9999151889891291,
                0.9992903294588587,
                0.9996200155606088,
                0.9999417087206043
            ],
            [
                0.9975273769157244,
                0.9902915251391893,
                1.4449805540651476e-07,
                0.9924227576326078,
                0.99592986318826,
                0.9740426399294492,
                0.9947798736245314,
                0.9959298630448031,
                0.8807970670261976,
                0.9933071506483522
            ],
            [
                2.9023109471452223e-06,
                1.9947301970287804e-06,
                5.144223809946954e-05,
                1.3709570433387154e-06,
                3.4663249714325014e-07,
                3.46632497145457e-07,
                4.785096776303374e-06,
                2.7535684528909006e-05,
                9.422450431912e-07,
                1.2098661161861e-06
            ],
            [
                1.3007125359792008e-05,
                0.00026119021365815097,
                1.4738987240475486e-05,
                0.0001233945743452308,
                0.000911051118265736,
                0.9241418173671895,
                5.8291272364888606e-05,
                0.00013982209060012945,
                0.00023050682426945844,
                0.00013982203965075748
            ],
            [
                3.5356242224994204e-05,
                0.9465966754730989,
                4.539786860136322e-05,
                4.785094494628999e-06,
                0.9975273764384985,
                9.422445938917108e-07,
                2.699578739984626e-07,
                0.00023050676780251553,
                0.00026119039872489876,
                3.288748673035494e-06
            ],
            [
                3.535624648041073e-05,
                6.962257079705671e-06,
                2.5612834319655406e-06,
                6.475948753965404e-07,
                2.4300234929636645e-05,
                6.9622578756623256e-06,
                2.5612825160096693e-06,
                8.315278293951957e-07,
                1.0129988563914856e-05,
                9.422442568163268e-07
            ],
            [
                0.9999038976079472,
                0.9999599363125918,
                0.9995121429399445,
                0.9998204720980665,
                0.9984988180570108,
                0.9997388097837048,
                0.9992903297060369,
                0.9999546021367736,
                0.9998415637643255,
                0.9999546021205374
            ],
            [
                0.34864513533394575,
                0.4378234991142019,
                0.9626731102463354,
                0.00023050676899637635,
                5.144221362431326e-05,
                4.222833444106873e-06,
                6.144174601935314e-06,
                0.679178692681616,
                0.9149009625340367,
                4.450852641717689e-07
            ],
            [
                0.9999546021313577,
                0.9999852610197855,
                0.9999417087344724,
                0.9999485577924977,
                0.9997040429711238,
                0.9999417087205619,
                0.9999417087066845,
                0.9999038976193724,
                0.9999485577618152,
                0.9999646437408576
            ],
            [
                5.043472278299047e-07,
                5.043472278255469e-07,
                2.382369667914917e-07,
                3.466325797888292e-07,
                1.4449795205429202e-07,
                3.059021539909339e-07,
                3.4663257978780455e-07,
                1.994729483630195e-06,
                1.3007126910294786e-05,
                3.2887502414436403e-06
            ],
            [
                8.315277302788957e-07,
                7.338208930421943e-07,
                7.338209805090567e-07,
                1.760344052714248e-06,
                1.760344052693435e-06,
                3.92786340734912e-07,
                6.475947209918244e-07,
                7.889266347356409e-06,
                5.043474683204221e-07,
                1.2098658277451275e-06
            ],
            [
                0.0001088968960910006,
                3.5356250699942575e-05,
                1.1478765388314311e-05,
                6.962254589781966e-06,
                0.9669140208962347,
                1.7603425837702984e-06,
                0.9579122683296282,
                6.144172404380855e-06,
                2.144495863201265e-05,
                2.1024334103505245e-07
            ],
            [
                1.3709568799679844e-06,
                6.475951069696694e-07,
                3.466327450756327e-07,
                2.2603248367173307e-06,
                1.2751908849167202e-07,
                4.450849988798682e-07,
                1.2098662604126641e-06,
                2.2603248367656408e-06,
                6.475946438042047e-07,
                4.4508505193123265e-07
            ],
            [
                1.300713001414004e-05,
                0.7310585786300049,
                0.9579122729855218,
                0.00010889689587392605,
                0.9890130557299723,
                0.9947798737913818,
                0.00010889692178502596,
                8.315278294072958e-07,
                8.48110816558695e-05,
                0.9241418215456966
            ],
            [
                0.999841563745393,
                0.9997694932296756,
                0.9998601778594107,
                0.9986749775330293,
                0.999664649810164,
                0.9999417087344724,
                0.9982992774842037,
                0.9990889489792208,
                0.9999251537905948,
                0.9998601778758304
            ],
            [
                8.315282259051341e-07,
                1.3709572068478697e-06,
                5.4222202623972055e-06,
                8.939699497042417e-06,
                1.6701419852090592e-05,
                3.7266401725681614e-06,
                7.889260703619978e-06,
                8.939693105662367e-06,
                4.2228324375973415e-06,
                0.9706877662277639
            ],
            [
                0.9999687980923457,
                0.0010322309290758346,
                0.9999599362887088,
                0.9999810748585295,
                0.9988304898635907,
                0.9997040428654331,
                0.9999417087344724,
                0.9999151889687481,
                0.9995694429107091,
                0.0002611903089045846
            ],
            [
                0.00015843615952272183,
                3.9278634073732336e-07,
                1.0129987356541108e-05,
                9.610244924211859e-05,
                4.006368262111344e-05,
                2.430024072648329e-05,
                1.3709573702722555e-06,
                1.147876949187012e-05,
                3.535623803478889e-05,
                6.962256246693712e-06
            ],
            [
                0.00010889690908378526,
                3.726640616748873e-06,
                1.0129994601872894e-05,
                1.994729959224386e-06,
                4.5397890268254766e-05,
                4.785094494628999e-06,
                5.144222590680261e-05,
                5.1442238144007945e-05,
                2.144495607789177e-05,
                0.9859363761076656
            ],
            [
                1.6373766672888118e-07,
                3.2887478887419687e-06,
                3.059021904559123e-07,
                4.4508526417298334e-07,
                2.260325375634003e-06,
                6.475951069855719e-07,
                1.6373772528677946e-07,
                1.2098652508287273e-06,
                2.6995768091310296e-07,
                7.338210679949506e-07
            ],
            [
                3.2887506334201674e-06,
                3.288747889178668e-06,
                0.9924227600662838,
                2.7535694369155778e-05,
                6.962256249606473e-06,
                0.9902915234648023,
                0.00015843617860273327,
                3.726638395527247e-06,
                8.939694172420599e-06,
                5.829124466437278e-05
            ],
            [
                0.9998415638209408,
                0.9998911030777808,
                0.9997965730025531,
                0.9999151889384149,
                0.9998204720980979,
                0.9999251537905948,
                0.999891103038808,
                0.9997694932299439,
                0.9995121427649623,
                0.9994472213861659
            ],
            [
                0.5312093733737563,
                3.9278620025275473e-07,
                1.300713466281145e-05,
                5.715002426343175e-07,
                9.422442569208767e-07,
                0.9241418158002492,
                1.7603432131631714e-06,
                3.927861534370498e-07,
                7.889262584809997e-06,
                3.4663278639738526e-07
            ],
            [
                0.9953904282650397,
                0.9740426412009962,
                0.9706877695136331,
                0.9399133544545811,
                0.9984988175185092,
                0.9994472212540602,
                0.9924227596951045,
                0.851952809486198,
                0.9875683469286287,
                0.9997965730508666
            ],
            [
                0.9914225162494638,
                5.1442213617576366e-05,
                2.753570420840434e-05,
                0.00317268216724852,
                1.9947290080343035e-06,
                7.889259763857458e-06,
                0.9770226323479997,
                0.00020342694853270045,
                0.9914225126459159,
                0.0013250225332117034
            ],
            [
                0.999876605454525,
                0.9999038975964829,
                0.9992903297095043,
                0.999933947823871,
                0.999088948873628,
                0.9953904280535156,
                0.9997965730025117,
                0.9995121429384402,
                0.9998204719911309,
                0.9971990731200212
            ],
            [
                0.9999599363173692,
                0.9998204720980979,
                0.9999339478317386,
                0.9998766053958151,
                0.999925153781686,
                0.9998204720981319,
                0.9998601779258804,
                0.9997388096593592,
                0.9988304898649506,
                0.9999485577924795
            ],
            [
                0.9997965730023045,
                0.9999599363078219,
                0.9999038975850886,
                0.9999599363221485,
                0.9999832985821384,
                0.9999485577618208,
                0.9999251537638378,
                0.9992903294479609,
                0.999796573075106,
                0.999796573075106
            ],
            [
                1.2098659719601033e-06,
                1.30071253611406e-05,
                1.760343842833246e-06,
                3.9278624708775595e-07,
                0.8670357580842941,
                2.382368247909451e-07,
                0.982013788327142,
                3.7266410609940346e-06,
                1.0677024881980089e-06,
                0.9706877665457513
            ],
            [
                1.2098656834834034e-06,
                3.726640172120768e-06,
                6.475947982002148e-07,
                7.338209805170655e-07,
                1.5534983100595462e-06,
                1.1478772223642496e-05,
                1.3709570434122812e-06,
                2.9023133690188264e-06,
                4.450849458218309e-07,
                6.475947982002148e-07
            ],
            [
                0.9902915246914923,
                0.00015843629218613268,
                6.144176799099397e-06,
                5.144223203214182e-05,
                0.798186768138228,
                0.0007096705302025096,
                0.00026119043252816905,
                7.88926258532661e-06,
                1.1478773598099973e-05,
                0.0850990490675896
            ],
            [
                1.3709576971160984e-06,
                2.6995787399490254e-07,
                5.715004470243685e-07,
                1.1253513522391131e-07,
                9.422448185264317e-07,
                2.3823702359138736e-07,
                9.422449308566668e-07,
                3.466327863983311e-07,
                2.1024331597152624e-07,
                5.043474081867732e-07
            ],
            [
                1.0129987356706945e-05,
                0.8519528038477825,
                3.9278638755992735e-07,
                5.04347528440776e-07,
                7.338208055229508e-07,
                0.7981867801399695,
                8.764243272157922e-08,
                1.2098659719601033e-06,
                2.699577774560111e-07,
                4.785092782936557e-06
            ],
            [
                0.9975273766429419,
                0.9990889486592105,
                0.9997694933395409,
                0.9984988173960114,
                0.99908894888539,
                0.9995121427645933,
                0.9992903295343991,
                0.9996200154708879,
                0.9990889488728333,
                0.9993736658990929
            ],
            [
                6.605213677978425e-05,
                0.9980732657734414,
                0.9940889300164065,
                0.8519527982093666,
                2.4300249416363357e-05,
                0.987568346425535,
                0.92414182206801,
                0.9975273765964253,
                0.9975273763443169,
                0.9875683478662123
            ],
            [
                9.610238051931088e-05,
                2.4300249404340734e-05,
                0.9959298616404351,
                0.9626731166717621,
                0.00015843621604585045,
                7.889261644631091e-06,
                1.4738976699106073e-05,
                1.9947304348595095e-06,
                0.9525741231199173,
                0.5926665999540697
            ],
            [
                5.144222585927004e-05,
                2.902312677104321e-06,
                2.5612819053586272e-06,
                8.939700566143004e-06,
                8.939700566435704e-06,
                4.7850967763512445e-06,
                9.422447061876404e-07,
                1.3007133115430804e-05,
                1.0129992184802409e-05,
                5.043472879504592e-07
            ],
            [
                0.9997965729783995,
                0.989013058148644,
                0.9990889489795917,
                0.9968273174469019,
                0.9993736658246934,
                0.9984988176978934,
                0.8519528076067262,
                0.9964063967682986,
                0.9975273767526291,
                0.995390427181781
            ],
            [
                0.9840936060722768,
                0.9968273171854962,
                0.9933071492397895,
                0.8670357701094303,
                0.9988304895986828,
                0.9796676464347296,
                8.481102098831671e-05,
                0.9770226305081273,
                0.9914225140160562,
                0.9669140179168128
            ],
            [
                0.9953904285769838,
                0.9914225127251147,
                0.9971990725119767,
                5.144220744545534e-05,
                0.9740426423783541,
                0.9840936110580706,
                0.7310585786300049,
                0.914900959053549,
                0.8933094103149355,
                0.9947798739219603
            ],
            [
                0.9999646437450735,
                0.9998911030907721,
                0.9990889489828236,
                0.9996646500092494,
                0.9999038976193814,
                0.9998766053956859,
                0.999964643736646,
                0.9999687980960662,
                0.9999885212305063,
                0.9999485577924765
            ],
            [
                0.3775406687981454,
                3.120191508707442e-05,
                6.475951069961737e-07,
                9.61024490987887e-05,
                0.9986749777086444,
                1.3007128463873485e-05,
                2.7535704217219437e-05,
                1.1478773598099973e-05,
                1.2098655392090423e-06,
                6.962253758916883e-06
            ],
            [
                2.753568453191415e-05,
                0.9978172836347756,
                0.9953904271775077,
                0.00043055708389233533,
                0.9968273164049608,
                1.5534979397592542e-06,
                0.9968273168725458,
                4.5397863201321984e-05,
                0.880797068590724,
                4.785092783267308e-06
            ],
            [
                2.561281905293402e-06,
                0.9149009515124917,
                8.315281267649641e-07,
                3.2887478892055875e-06,
                3.726639728224814e-06,
                0.9933071478405137,
                1.6701425824307884e-05,
                1.760344052714248e-06,
                4.006369694347607e-05,
                4.222831933864508e-06
            ],
            [
                1.1253506814797596e-07,
                1.2751905808881762e-07,
                6.023577065324986e-08,
                4.69116436098494e-08,
                8.7642516304188e-08,
                3.0590219045271286e-07,
                1.3709570433885908e-06,
                2.56128159959988e-06,
                1.6373770576683237e-07,
                1.0677029973114952e-06
            ],
            [
                0.9933071493729064,
                0.9875683508390379,
                0.9840936116703609,
                0.9796676463234238,
                0.9875683477861746,
                0.9902915240020388,
                1.892515500560259e-05,
                2.699578418198104e-07,
                0.9940889310425136,
                0.9579122677288676
            ],
            [
                1.0129992185981682e-05,
                7.88926258532661e-06,
                0.9975273763293855,
                0.9995121428247089,
                3.5356250704701545e-05,
                0.92414182206801,
                0.9986749773560274,
                0.9975273766107823,
                0.00010889690911072151,
                1.8925148238291944e-05
            ],
            [
                0.9986749773738971,
                0.989013058432003,
                0.9989677690385125,
                0.13296423504419938,
                0.9997388095669019,
                0.99962001542511,
                0.9998601778926528,
                0.9991959141442943,
                0.0140636259326784,
                0.9999687980923528
            ],
            [
                0.0001398220571038245,
                0.0015011824300137815,
                1.8925155006118952e-05,
                0.0003799845633045608,
                0.9579122708828602,
                0.00017952794410956967,
                0.10669059962643358,
                0.7772998611746911,
                0.00013982210695869836,
                2.7535684513582775e-05
            ],
            [
                0.9990889486556077,
                0.9999756997621677,
                0.9997694933122331,
                0.9996646498100469,
                0.9999251537549052,
                0.9995121429386673,
                0.9999756997563768,
                0.9996200155603987,
                0.9998766054693118,
                0.9999339478238412
            ],
            [
                0.9971990729041166,
                0.9947798747199403,
                0.9991959142440937,
                0.9999038976080269,
                0.9995121428809076,
                0.9995694430149461,
                0.9971990727350347,
                0.9902915231155985,
                0.9964063972426704,
                0.9998601779092757
            ],
            [
                0.9993736657487637,
                0.9980732655712875,
                0.9993736658946478,
                0.9992903295343991,
                0.9978172834532361,
                0.9999417087483723,
                0.9997040428302661,
                0.9990889486747871,
                0.9933071481810454,
                0.999860177975949
            ],
            [
                0.9875683465055726,
                0.984093611203854,
                0.00010889690852763066,
                0.24508501313237174,
                1.3709576971242028e-06,
                0.9914225135091835,
                9.610246006457393e-05,
                0.00522012626665318,
                0.0001398220737675486,
                0.00017952796539742315
            ],
            [
                1.8925152752138513e-05,
                0.00013982205696955448,
                0.0013250222292739767,
                0.9046505370289059,
                2.7535697643963113e-05,
                9.422442568763144e-07,
                0.9525741315347258,
                5.144221363067589e-05,
                0.9149009625340367,
                1.47389819699641e-05
            ],
            [
                8.7642516304188e-08,
                1.2098659719716573e-06,
                1.067702615468225e-06,
                5.715002426460124e-07,
                3.059022998576899e-07,
                1.2098652508287273e-06,
                3.927860597935108e-07,
                5.715002426460124e-07,
                1.1253510839263171e-07,
                1.3709573702566696e-06
            ],
            [
                0.7057850154599562,
                3.2887506334560605e-06,
                9.422448185478557e-07,
                3.9278610661545617e-07,
                0.3775406687981454,
                3.726637951126493e-06,
                0.0005527786711077302,
                2.144494329769612e-05,
                1.3709570434122812e-06,
                0.9859363739510995
            ],
            [
                0.9993736658223981,
                0.9998601778759096,
                0.9986749773584921,
                0.999903897550667,
                0.9994472213863268,
                0.9995121428824402,
                0.9997388097222843,
                0.9998911030517865,
                0.9999339478632058,
                0.9988304897178097
            ],
            [
                0.9975273768749505,
                0.998967768793984,
                0.9991959140464125,
                0.9998601778759911,
                0.9986749773780563,
                0.9998415637642979,
                0.9992903296208372,
                0.9996200155150629,
                0.9994472214525726,
                0.9984988178753582
            ],
            [
                2.7535691088138193e-05,
                6.9622570786798724e-06,
                0.9669140237564794,
                0.9579122764398942,
                2.260325375664839e-06,
                3.726638395493353e-06,
                0.00012339454522734274,
                6.605215247874642e-05,
                1.3007123811229494e-05,
                1.0129994600159262e-05
            ],
            [
                0.2942149721629888,
                0.9975273765728798,
                1.670142980726572e-05,
                0.00043055708639742825,
                4.0063692178050736e-05,
                6.144174601935314e-06,
                3.535624648542694e-05,
                0.9046505402422645,
                0.9988304895781484,
                0.0002034268996481753
            ],
            [
                2.753568780802255e-05,
                0.9046505286741727,
                3.726640616748873e-06,
                6.605212098759701e-05,
                2.260324567268294e-06,
                0.9890130563472903,
                3.5356267560968415e-05,
                0.0001795280507499871,
                8.939695238089467e-06,
                7.484620934212912e-05
            ],
            [
                0.26894141551050293,
                0.985936374235198,
                0.9953904279659149,
                0.5,
                0.9924227600662838,
                9.610241489119613e-05,
                0.7772998663336157,
                0.9324533135530545,
                0.7310585844894971,
                5.1442195232584995e-05
            ],
            [
                2.6995780963846126e-07,
                1.4449803818156628e-07,
                9.931200429007232e-08,
                2.1024329090781183e-07,
                2.6995774527577444e-07,
                3.466325797888292e-07,
                9.422443692390473e-07,
                2.1024329090867228e-07,
                1.8553910183548312e-07,
                5.043474683220276e-07
            ],
            [
                0.9998911031036769,
                0.9999687980737564,
                0.9998204719912301,
                0.9978172834927894,
                0.9996646497699858,
                0.9996200154250436,
                0.9994472213212385,
                0.9997388096281096,
                0.0002959572375019766,
                0.9998601779260615
            ],
            [
                1.209865827698362e-06,
                6.825602096760253e-08,
                0.9324533121452494,
                5.715005151550947e-07,
                9.422445938797133e-07,
                1.760343212247388e-06,
                2.1024329090929374e-07,
                0.7981867801399695,
                3.466326211105621e-07,
                0.6224593312018546
            ],
            [
                5.422217030614265e-06,
                4.539785239182798e-05,
                3.2887494572514376e-06,
                1.892515500715167e-05,
                1.8925155000025902e-05,
                1.0677027427413698e-06,
                1.8925152749659986e-05,
                8.315278294072958e-07,
                1.8553905759893702e-07,
                2.5612812946890944e-06
            ],
            [
                2.6995777745711594e-07,
                3.4663262110803996e-07,
                1.0677024881829577e-06,
                7.338211554641698e-07,
                2.6995777745466066e-07,
                7.338212429537553e-07,
                1.7603427935967163e-06,
                3.4663278639738526e-07,
                5.715003107689177e-07,
                2.6995774527577444e-07
            ],
            [
                0.9964063978404291,
                0.9933071491159599,
                0.9947798752325819,
                0.0004305571373886001,
                0.9971990725607502,
                0.9988304897371204,
                0.9996646498098323,
                0.9986749776753701,
                3.5356254925134237e-05,
                3.72664061671159e-06
            ],
            [
                5.043472278312808e-07,
                9.931188590255539e-08,
                2.3823693839290317e-07,
                1.5534975693707442e-06,
                2.6995784182073116e-07,
                7.73441946488886e-08,
                2.1024336609843824e-07,
                5.715004470295662e-07,
                2.6995768091383957e-07,
                6.475947210012481e-07
            ],
            [
                3.12019076363863e-05,
                1.9947294834796172e-06,
                2.6995774527577444e-07,
                3.059023363221292e-07,
                2.902312677060767e-06,
                0.9579122689303887,
                1.125351620532527e-07,
                6.475949525981759e-07,
                2.2603237588597026e-06,
                7.338212429537553e-07
            ],
            [
                3.4663253846316044e-07,
                3.466327450756327e-07,
                2.382369383923073e-07,
                1.275190580884987e-07,
                2.382369667914917e-07,
                5.043473480730849e-07,
                3.466327450756327e-07,
                1.9947292447210427e-06,
                1.275190124842887e-07,
                2.1024341622297196e-07
            ],
            [
                0.9978172839577945,
                0.9997694932023711,
                0.9964063977979107,
                0.9984988175315966,
                0.9991959141446217,
                0.9959298631429578,
                0.9953904270792239,
                0.9999038975965026,
                0.9840936063055303,
                0.9991959139547972
            ],
            [
                0.999991060300499,
                0.9999921107345932,
                0.9995121428241128,
                0.9999251537638889,
                0.9999599362887123,
                0.999954602120542,
                0.9999810748562726,
                0.9999898700114355,
                0.9999251537905833,
                0.9999599363125938
            ],
            [
                4.450849458218309e-07,
                1.6373772528636992e-07,
                9.422443692446175e-07,
                1.3709576970537545e-06,
                8.315279285205827e-07,
                1.4449800373098553e-07,
                4.450851049959619e-07,
                5.715003107689177e-07,
                1.2751899728141993e-07,
                2.1024344128660572e-07
            ],
            [
                0.00037998448108999194,
                0.0002959569918147374,
                0.00048785717577364403,
                2.144495096785658e-05,
                3.535623802655717e-05,
                4.006367785146321e-05,
                0.40733340004593027,
                5.1442232005568484e-05,
                5.8291293265817787e-05,
                1.8925152747388e-05
            ],
            [
                0.7772998663336158,
                0.817574478416099,
                1.1478764019328247e-05,
                1.3007123810306773e-05,
                0.9770226290027769,
                0.8670357580842941,
                0.9579122743372327,
                0.8175744806385542,
                0.952574130693245,
                4.4508521110762794e-07
            ],
            [
                7.338209805224048e-07,
                1.0677027427340866e-06,
                3.726640616748873e-06,
                2.2603245673155757e-06,
                1.5534984953298217e-06,
                6.475950297993789e-07,
                8.31528424162821e-07,
                3.288748673319648e-06,
                4.450849458200093e-07,
                1.5534983101549167e-06
            ],
            [
                1.0677028700363782e-06,
                3.120190390445942e-05,
                5.82912862948823e-05,
                0.9914225147288459,
                0.9525741322079104,
                0.0003353500673406329,
                0.0007096704381504653,
                4.4508526417014975e-07,
                0.9149009596336303,
                8.315277302444853e-07
            ],
            [
                1.5534979397394734e-06,
                1.1478764017720528e-05,
                1.2098662604126641e-06,
                1.5534979396645902e-06,
                6.144174601588856e-06,
                1.7603436328994344e-06,
                1.9947294835630703e-06,
                2.5612816000331606e-06,
                8.939694171331106e-06,
                1.2098662603961589e-06
            ],
            [
                0.00029595705984111504,
                2.4300240729754152e-05,
                0.8933094003735663,
                0.00020342692415998816,
                0.00010889690916459403,
                2.56128282131428e-06,
                1.6701427808495672e-05,
                NaN,
                0.6513548714339144,
                1.670141586907437e-05
            ],
            [
                0.999796573075106,
                0.9991959139504012,
                0.9820137878994503,
                0.9980732651226535,
                0.9982992778660701,
                0.9982992772515655,
                0.9990889489869031,
                0.9998601779092168,
                0.9989677687919432,
                0.9988304895807322
            ],
            [
                1.2098656834834034e-06,
                1.3709575336530204e-06,
                6.475948753930064e-07,
                4.4508521110762794e-07,
                0.7057850216484837,
                1.2098653950315304e-06,
                0.8670357615200475,
                0.9626731133251859,
                0.8519528057272543,
                2.5612812946890944e-06
            ],
            [
                3.9278610661366994e-07,
                6.475947209953583e-07,
                0.8354835309589073,
                3.9278610661545617e-07,
                1.2098655392811161e-06,
                4.450849988811838e-07,
                1.9947301970287804e-06,
                1.1478773585572257e-05,
                0.9626731143960903,
                3.4663249714325014e-07
            ],
            [
                1.0677033791204289e-06,
                1.0129990979547237e-05,
                6.96225956921868e-06,
                3.120190764966677e-05,
                8.939695238089467e-06,
                0.7310585786300048,
                1.0129993394664264e-05,
                5.144223202241074e-05,
                0.000139822090473997,
                0.9579122764398942
            ],
            [
                0.999978555041362,
                0.9999417087344724,
                0.9999339478632058,
                0.9997694933122868,
                0.9999339478553327,
                0.9998415637264352,
                0.9999546021421849,
                0.9999646437535068,
                0.9999646437577226,
                0.9997965730025531
            ],
            [
                0.9997388095658684,
                0.998299277900857,
                0.9997040430069108,
                0.9980732653568207,
                0.9989677689136672,
                0.9999599363078128,
                0.9998204719481817,
                0.9999485577740932,
                0.999620015423684,
                0.9998601778591869
            ],
            [
                0.8354835330070838,
                1.7603427935342762e-06,
                2.3823682479181176e-07,
                0.9669140222071801,
                0.92414182206801,
                1.8553914607128047e-07,
                2.3823690999236795e-07,
                1.8553919030708836e-07,
                1.8553903548231313e-07,
                1.4449802095609418e-07
            ]
        ]
    },
    {
        "q_id": "10636_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127,
            2,
            9,
            22,
            88,
            92,
            122
        ],
        "rewards": [
            [
                0.9999984465020603,
                0.9999995549150542,
                0.9999997617630616,
                0.9999996533672962,
                0.9999990577551815,
                0.9999994956524716,
                0.9999994284994848,
                0.9999996533673788,
                0.9999989322973845,
                0.999999168471675
            ],
            [
                0.9999993524050474,
                0.9999990577549568,
                0.999998790134605,
                0.9999995549147889,
                0.9999994956525918,
                0.9999982396569966,
                0.9999992661786696,
                0.99999862904312,
                0.999998790134028,
                0.9999993524054334
            ],
            [
                0.9999989322972572,
                0.999999352405279,
                0.9999994284994849,
                0.9999993524051246,
                0.9999974387177897,
                0.9999994956523512,
                0.9999996533672549,
                0.999999554914895,
                0.9999977396762413,
                0.9999997300421903
            ],
            [
                0.9999996072137529,
                0.999998629042303,
                0.9999997617631469,
                0.999999554914789,
                0.999999352405279,
                0.9999990577549568,
                0.9999994284994849,
                0.9999996072138465,
                0.9999994956525317,
                0.9999986290424664
            ],
            [
                0.9999991684720715,
                0.9999986290421394,
                0.9999982396559474,
                0.9999980052705164,
                0.9999952149037944,
                0.9999977396754328,
                0.9999980052693274,
                0.9999962733620489,
                0.9999991684717742,
                0.9999982396567867
            ],
            [
                0.999999352405279,
                0.9999992661791944,
                0.9999996072136592,
                0.9999993524054334,
                0.9999986290432835,
                0.9999994956525317,
                0.999999554914895,
                0.9999994956523514,
                0.9999994284994167,
                0.9999994956523514
            ],
            [
                0.9999992661791944,
                0.9998766054401742,
                0.9999994284995529,
                0.9999994956524114,
                0.9999991684720715,
                0.9999992661792819,
                0.9999980052695652,
                0.9999992661790195,
                0.9999994956527121,
                0.9999989322968754
            ],
            [
                3.2887478892055875e-06,
                3.726641060956752e-06,
                1.5534971989992774e-06,
                1.012998977022003e-05,
                6.962259569484628e-06,
                1.9947299592933255e-06,
                2.9023126769762986e-06,
                8.939700566289352e-06,
                1.3007134664514934e-05,
                6.962255419570695e-06
            ],
            [
                0.999998790134028,
                0.9999990577556308,
                0.9999982396574163,
                0.9999977396748939,
                0.999998005269803,
                0.9999991684717741,
                0.9999994284994848,
                0.9999989322973845,
                0.9999986290427931,
                0.9999982396574163
            ],
            [
                1.9947299592933255e-06,
                2.260323758939877e-06,
                5.422220908876325e-06,
                1.0129989771657269e-05,
                2.5612825160096693e-06,
                2.260323758923431e-06,
                1.9947294837154625e-06,
                3.7266397281434697e-06,
                4.222832941072913e-06,
                1.9947297214944016e-06
            ],
            [
                0.9999996533673788,
                0.9999986290424664,
                0.9999993524049703,
                0.9999996072136592,
                0.9999996940977731,
                0.999998629042303,
                0.9999996072137529,
                0.9999990577551815,
                0.9999996940976636,
                0.9999993524051246
            ],
            [
                0.99999862904312,
                0.9999994284994848,
                0.9999994284994167,
                0.9999997300422547,
                0.9999990577550693,
                0.9999996940977366,
                0.9999993524049702,
                0.9999997617630332,
                0.9999995549150011,
                0.9999995549149481
            ],
            [
                0.999995777165048,
                0.9999987901341723,
                0.9999967112517189,
                0.9999989322973845,
                0.999998790134028,
                0.999999554914895,
                0.99999893229713,
                0.9999993524051246,
                0.9999994284997573,
                0.9999990577550691
            ],
            [
                0.9999992661792819,
                0.999999653367379,
                0.9999994284996211,
                0.9999982396574163,
                0.99999976176309,
                0.9999990577552937,
                0.999997438717484,
                0.9999989322970027,
                0.9999994956524115,
                0.999998005270992
            ],
            [
                0.9999832985781578,
                0.9999984465024307,
                0.9999977396762411,
                0.9999977396765105,
                0.9999984465020603,
                0.999999554914842,
                0.9999977396757022,
                0.9999982396574163,
                0.9999898700114371,
                0.9999982396561572
            ],
            [
                0.999998629042303,
                0.9999989322970027,
                0.9999994284996211,
                0.9999995549150542,
                0.9999991684722697,
                0.9999992661787571,
                0.9999991684720715,
                0.9999992661792819,
                0.9999982396574163,
                0.9999970976887069
            ],
            [
                0.9999996072138934,
                0.9999995549151073,
                0.9999987901341724,
                0.99999862904312,
                0.9999986290423029,
                0.9999996072137529,
                0.9999993524054334,
                0.9999994956524716,
                0.999999814460854,
                0.9999994956523514
            ],
            [
                0.9999991684721706,
                0.9999990577554061,
                0.999999352404893,
                0.9999997897567342,
                0.9999987901347492,
                0.9999974387168742,
                0.999999168471675,
                0.9999992661789321,
                0.9999984465022455,
                0.9999986290424664
            ],
            [
                0.9999994956525918,
                0.9999994956523512,
                0.9999984465020603,
                0.9999993524052019,
                0.9999994956526519,
                0.9999992661792819,
                0.9999996940977002,
                0.9999994956525918,
                0.9999996072138465,
                0.9999996533674201
            ],
            [
                0.9999984465022455,
                0.9999930377437505,
                0.9999984465015047,
                0.9999991684719723,
                0.9999994284995529,
                0.9999986290429566,
                0.9999967112517187,
                0.9999885212318756,
                0.9999982396574163,
                0.9999990577550691
            ],
            [
                0.9999991684719723,
                0.9999989322966208,
                0.9999992661786696,
                0.9999980052705164,
                0.9999982396559474,
                0.9999993524054334,
                0.9999994956527721,
                0.9999980052705164,
                0.9999995549147889,
                0.9999994284996891
            ],
            [
                0.9999994956525317,
                0.9999986290426299,
                0.9999993524051246,
                0.9999995549150542,
                0.9999996072137998,
                0.9999994284996211,
                0.99999893229713,
                0.9999996072138934,
                0.9999990577556308,
                0.999999554914789
            ],
            [
                0.9999992661788445,
                0.9999996072137529,
                0.9999952149043646,
                0.9999984465015047,
                0.9999992661787571,
                0.9999957771650456,
                0.999998239656577,
                0.9999980052700408,
                0.9999970976869775,
                0.9999986290427931
            ],
            [
                0.9999996940977731,
                0.9999984465020605,
                0.999999495652712,
                0.9999984465024307,
                0.9999992661787571,
                0.9999992661790196,
                0.9999991684722697,
                0.9999992661790196,
                0.9999989322970028,
                0.9999980052705164
            ],
            [
                1.5534979397500702e-06,
                1.7603436329554703e-06,
                3.2887478892055875e-06,
                1.5534975693933505e-06,
                7.338212429582604e-07,
                1.5534975693792215e-06,
                3.288747889178668e-06,
                5.422220262264056e-06,
                2.9023109470871505e-06,
                4.222833444283541e-06
            ],
            [
                0.9999974387177893,
                0.9999996940978825,
                0.9999995549149481,
                0.9999994284994167,
                0.9999994284996211,
                0.9999992661791945,
                0.9999994956524716,
                0.9999992661786695,
                0.9999995549151073,
                0.9999995549150011
            ],
            [
                0.9999994956524716,
                0.9999994956524716,
                0.9999995549150011,
                0.999999352404893,
                0.999999352405279,
                0.9999996533673375,
                0.9999994956527721,
                0.9999997300422547,
                0.9999992661791071,
                0.9999994956525317
            ],
            [
                0.9999989322971299,
                0.9999993524049702,
                0.9999996533672549,
                0.9999996533672549,
                0.999999266179107,
                0.9999996533674614,
                0.9999996533672135,
                0.9999987901347492,
                0.9999990577550691,
                0.999999653367379
            ],
            [
                0.9999991684720715,
                0.9999997300422225,
                0.999999814460854,
                0.9999990577550691,
                0.9999996072137061,
                0.999999352404893,
                0.9999982396574163,
                0.9999995549147359,
                0.9999970976869772,
                0.9999990577549568
            ],
            [
                0.9999994956524115,
                0.9999992661792819,
                0.9999991684722698,
                0.9999990577551815,
                0.9999989322972572,
                0.9999996072137061,
                0.9999984465020603,
                0.99999862904312,
                0.999998790134605,
                0.9999992661791071
            ],
            [
                2.260325375634003e-06,
                4.222834954561012e-06,
                7.88926634755014e-06,
                6.144175334172377e-06,
                3.726638395611981e-06,
                1.0129993394664264e-05,
                4.222834451169694e-06,
                1.30071315640992e-05,
                6.9622587396067566e-06,
                7.889261644760245e-06
            ],
            [
                0.9999990577554061,
                0.9999994284996211,
                0.9999984465028011,
                0.9999986290424664,
                0.999997097688361,
                0.9999991684718732,
                0.9999994284996893,
                0.9999987901337396,
                0.9999995549149481,
                0.99999893229713
            ],
            [
                2.2603251060985603e-06,
                4.7850933534310035e-06,
                1.0129987355785634e-05,
                1.760342793583908e-06,
                2.260324028372372e-06,
                1.0129990979381404e-05,
                2.2603248367512505e-06,
                3.726639728184142e-06,
                5.422218322851817e-06,
                3.7266388392671313e-06
            ],
            [
                0.9999991684715758,
                0.9999997300421581,
                0.9999994956525317,
                0.9999990577556308,
                0.9999996072136592,
                0.9999995549148419,
                0.9999994956523512,
                0.9999992661789321,
                0.9999993524052018,
                0.9999996072137998
            ],
            [
                0.9999994956523512,
                0.99999862904312,
                0.9999984465015047,
                0.9999993524049703,
                0.9999994284996891,
                0.9999991684722698,
                0.9999990577550691,
                0.9999980052709921,
                0.9999994956525917,
                0.9999994284996891
            ],
            [
                0.9999984465024311,
                0.999999554914895,
                0.9999996072136125,
                0.9999991684718733,
                0.9999990577550693,
                0.9999994284994848,
                0.9999993524052019,
                0.9999992661792819,
                0.9999994284993485,
                0.9999977396759717
            ],
            [
                0.9999995549151072,
                0.9999995549150011,
                0.9999993524051246,
                0.9999994956524115,
                0.9999995549150542,
                0.9999994284994167,
                0.9999986290427932,
                0.9999996072137998,
                0.9999996940976636,
                0.9999996072138934
            ],
            [
                0.9999993524049703,
                0.999999057755743,
                0.9999994284995529,
                0.9999990577552939,
                0.9999991684716749,
                0.9999991684720715,
                0.9999994284994167,
                0.9999992661791071,
                0.9999993524050474,
                0.9999980052700408
            ],
            [
                0.9999997300422869,
                0.9999991684719723,
                0.9999994284996211,
                0.9999994284996891,
                0.9999992661790195,
                0.9999997617631184,
                0.9999996533675028,
                0.9999992661792819,
                0.999999789756634,
                0.9999997897566589
            ],
            [
                0.9999994284994849,
                0.999999352404893,
                0.999998629042303,
                0.9999996072137998,
                0.999999352404893,
                0.999999266178932,
                0.999999495652712,
                0.9999987901341723,
                0.9999991684718732,
                0.999999495652652
            ],
            [
                0.9999994956524114,
                0.9999994284996891,
                0.9999997897565838,
                0.9999992661790196,
                0.9999994284993485,
                0.9999980052705164,
                0.9999990577551816,
                0.9999995549147889,
                0.9999993524050473,
                0.9999995549147358
            ],
            [
                2.260324567227179e-06,
                6.9622587393661365e-06,
                2.561283431888668e-06,
                1.5534984953453635e-06,
                2.5612831266165976e-06,
                4.2228319341064674e-06,
                3.288750241410738e-06,
                1.3709567165461505e-06,
                3.726639728262097e-06,
                4.222835457906302e-06
            ],
            [
                0.9999967112505427,
                0.9999993524051246,
                0.999996273362049,
                0.9999984465024306,
                0.9999991684719723,
                0.9999945777784449,
                0.9999984465022455,
                0.999998239656367,
                0.9999994956523514,
                0.999998790134028
            ],
            [
                0.99999893229713,
                0.9999994956523512,
                0.9999977396746244,
                0.9999995549147359,
                0.9999996072137061,
                0.9999990577555185,
                0.999998239656577,
                0.9999987901341723,
                0.999997097686977,
                0.9999989322966208
            ],
            [
                0.9999994284996891,
                0.9999977396751636,
                0.9999987901346049,
                0.9999990577552939,
                0.9999990577557432,
                0.9999967112505429,
                0.9999986290426297,
                0.9999994284996211,
                0.9999993524052789,
                0.9999967112493665
            ],
            [
                0.9999994284997573,
                0.9999994956527721,
                0.9999996072139402,
                0.9999994956527721,
                0.9999977396762411,
                0.9999994284994167,
                0.999999168471675,
                0.9999994284993485,
                0.9999989322968754,
                0.9999995549147889
            ],
            [
                0.9999986290421394,
                0.9999898700041907,
                0.9999967112505427,
                0.9999962733616046,
                0.9999962733593831,
                0.9999982396572065,
                0.9999977396762411,
                0.9999898700114359,
                0.9999980052702785,
                0.9999962733607161
            ],
            [
                0.9999987901346049,
                0.9999995549147889,
                0.9999986290427932,
                0.9999987901347492,
                0.999999554914842,
                0.9999998555020307,
                0.9999980052705163,
                0.999999352405279,
                0.9999995549151073,
                0.9999993524049702
            ],
            [
                0.9999993524050474,
                0.9999998362623137,
                0.9999980052698031,
                0.9999977396765106,
                0.9999974387177896,
                0.9999994956524114,
                0.9999994956527121,
                0.9999987901344607,
                0.999999266179107,
                0.9999996533672135
            ],
            [
                2.5612815999679353e-06,
                1.3709576971160984e-06,
                1.994730197071414e-06,
                6.962258738701267e-06,
                1.3007123811797321e-05,
                1.9947304348595095e-06,
                1.1478770860982112e-05,
                1.1478765388314311e-05,
                2.2603242977802297e-06,
                1.994729721436347e-06
            ],
            [
                0.999999266178757,
                0.999999554914895,
                0.9999990577552937,
                0.9999996072137061,
                0.9999982396574163,
                0.9999991684717742,
                0.9999996533672136,
                0.9999996072136592,
                0.9999989322966208,
                0.9999977396765107
            ],
            [
                0.9999984465024307,
                0.9999990577556308,
                0.9999994956524716,
                0.9999994284993485,
                0.9999977396754327,
                0.9999994284992805,
                0.9999974387187053,
                0.9999989322970028,
                0.9999996940978825,
                0.9999994956524114
            ],
            [
                0.9999984465020603,
                0.9999967112509348,
                0.9999982396561572,
                0.9999986290424663,
                0.9999980052705163,
                0.9999989322975118,
                0.9999990577557432,
                0.9999984465020603,
                0.9999967112493665,
                0.9999984465024306
            ],
            [
                0.9999986290426297,
                0.9999810748562783,
                0.9999962733607161,
                0.9999984465015047,
                0.999994577780384,
                0.9999991684718732,
                0.9999957771650461,
                0.999999554914842,
                0.9999991684719725,
                0.9999885212277736
            ],
            [
                0.9999993524054335,
                0.9999980052693274,
                0.9999992661792819,
                0.9999996533675028,
                0.9999993524050474,
                0.9999991684720715,
                0.9999996940977002,
                0.9999989322966208,
                0.9999994956527121,
                0.9999996072137061
            ],
            [
                0.9999994284996211,
                0.9999993524050473,
                0.9999991684720715,
                0.9999994284993485,
                0.999999352404893,
                0.999999730042319,
                0.9999996072136125,
                0.9999997300420937,
                0.9999996940977366,
                0.9999994284997573
            ],
            [
                0.9999989322972572,
                0.9999982396561572,
                0.9999970976887068,
                0.9999938558253983,
                0.9999938558232012,
                0.9999986290427931,
                0.9999962733593832,
                0.9999977396754327,
                0.9999984465020603,
                0.9999852610145168
            ],
            [
                0.9999997300420937,
                0.9999986290432835,
                0.9999996940977366,
                0.999999352404893,
                0.9999995549147359,
                0.9999994956525917,
                0.9999995549150011,
                0.999999554914895,
                0.9999997300421581,
                0.9999996533672962
            ],
            [
                0.9999990577550691,
                0.9999989322967482,
                0.9999994284994848,
                0.9999990577549568,
                0.9999992661790195,
                0.9999992661787571,
                0.999999653367379,
                0.9999967112517194,
                0.9999991684720715,
                0.9999962733607163
            ],
            [
                0.9999992661790195,
                0.9999989322966208,
                0.9999996533673375,
                0.999999352404893,
                0.9999995549151073,
                0.9999993524053562,
                0.9999994956523512,
                0.9999989322968754,
                0.9999989322972573,
                0.9999994956526519
            ],
            [
                0.9999970976880149,
                0.9999993524051246,
                0.9999977396748939,
                0.9999990577552939,
                0.9999980052709919,
                0.9999994284993485,
                0.9999994956527121,
                0.9999992661789321,
                0.9999987901347492,
                0.9999994956525317
            ],
            [
                0.9999993524050474,
                0.999999266178932,
                0.9999986290423029,
                0.9999991684717741,
                0.9999984465022455,
                0.9999994284992805,
                0.9999990577556308,
                0.9999992661788445,
                0.9999996533674614,
                0.9999996533672135
            ],
            [
                0.9999980052698031,
                0.999997438717484,
                0.9999990577555185,
                0.9999980052693275,
                0.9999994284992805,
                0.9999982396572065,
                0.9999945777829702,
                0.9999982396574163,
                0.9999982396565769,
                0.9999994284994849
            ],
            [
                0.9999977396759717,
                0.9999990577550693,
                0.99999893229713,
                0.9999990577551815,
                0.999997438717484,
                0.9999982396567867,
                0.9999994956525317,
                0.9999996072139402,
                0.9999990577554061,
                0.9999989322975118
            ],
            [
                0.9999986290421395,
                0.9999991684721706,
                0.9999993524054335,
                0.9999992661787571,
                0.9999980052709919,
                0.9999992661790195,
                0.9999993524053562,
                0.9999994956527721,
                0.9999996940976636,
                0.9999998144609644
            ],
            [
                0.9999984465022455,
                0.9999974387184,
                0.9999991684717741,
                0.9999970976866313,
                0.9999974387165681,
                0.9999990577556307,
                0.9999921107374157,
                0.9999987901337396,
                0.9999832985761679,
                0.999998790134028
            ],
            [
                0.9999987901340281,
                0.9999994956524716,
                0.9999992661788445,
                0.9999989322973845,
                0.9999990577549569,
                0.9999992661788445,
                0.9999987901343167,
                0.9999993524051246,
                0.9999993524054334,
                0.9999994956527121
            ],
            [
                0.9999986290421395,
                0.9999984465024307,
                0.9999994284997573,
                0.9999987901347491,
                0.999999266179282,
                0.9999995549150011,
                0.9999921107392972,
                0.9999994956527722,
                0.9999994956525918,
                0.9999997300421581
            ],
            [
                6.14417533430649e-06,
                1.7603425837702984e-06,
                4.222834954687752e-06,
                1.0129993394129904e-05,
                4.2228324375973415e-06,
                6.962256249327861e-06,
                1.1478766755734576e-05,
                2.902313023101807e-06,
                6.144174601309452e-06,
                0.9997694933677074
            ],
            [
                4.222835458044565e-06,
                1.5534981249397663e-06,
                2.2603251061458426e-06,
                1.0677028700363782e-06,
                6.962254589104433e-06,
                2.561281294616881e-06,
                4.785093924103951e-06,
                5.422219615829396e-06,
                3.7266397283231055e-06,
                2.2603248367512505e-06
            ],
            [
                0.9999994284997573,
                0.9999996940978825,
                0.9999986290423029,
                0.9999984465024307,
                0.9999998144608981,
                0.9999992661791944,
                0.9999990577550691,
                0.9999980052695652,
                0.9999967112513269,
                0.9999962733602723
            ],
            [
                0.9999996072137529,
                0.9999994284996211,
                0.9999993524052019,
                0.9999980052695654,
                0.9999996072136592,
                0.999999554914895,
                0.9999984465026159,
                0.9999984465022456,
                0.9999996072137061,
                0.9999994956524114
            ],
            [
                0.9999991684719725,
                0.9999992661788445,
                0.9999993524052789,
                0.9999994284994167,
                0.9999994284994167,
                0.9999994956523514,
                0.9999982396559474,
                0.9999996072139402,
                0.9999992661790195,
                0.9999994956524716
            ],
            [
                1.760344052693435e-06,
                3.726639284103523e-06,
                3.4663253846718004e-07,
                2.9023126769762986e-06,
                4.222832941034507e-06,
                7.889261643899223e-06,
                5.422219616140078e-06,
                8.939699500327152e-06,
                3.72664061671159e-06,
                3.2887478892055875e-06
            ],
            [
                0.9999984465020603,
                0.9999974387165681,
                0.9999810748517617,
                0.9999945777810304,
                0.9999952149055055,
                0.9999989322967481,
                0.9999910603058276,
                0.9999967112505427,
                0.9999962733602719,
                0.999998239656367
            ],
            [
                0.9999994284996211,
                0.9999994956527721,
                0.9999996072137529,
                0.999999730042126,
                0.9999997617631752,
                0.9999994956524114,
                0.9999986290424664,
                0.9999996072136125,
                0.9999997897566589,
                0.999999653367379
            ],
            [
                0.9999977396757023,
                0.999997097687669,
                0.9999996533672135,
                0.9999987901338838,
                0.99999862904312,
                0.9999992661788445,
                0.9999996940978825,
                0.9999996072137061,
                0.9999991684720715,
                0.9999986290427931
            ],
            [
                0.9999986290432836,
                0.999999653367379,
                0.9999996533674201,
                0.9999994956526519,
                0.9999993524054335,
                0.9999994956525917,
                0.9999991684719723,
                0.9999994284992805,
                0.9999991684718732,
                0.9999994956525317
            ],
            [
                0.9999989322970028,
                0.9999987901344607,
                0.9999991684722698,
                0.9999986290424664,
                0.999999653367379,
                0.9999993524053562,
                0.9999986290424664,
                0.9999957771680662,
                0.9999986290421394,
                0.9999993524050473
            ],
            [
                0.9999993524053563,
                0.9999994284997573,
                0.9999982396569966,
                0.9999995549150011,
                0.9999990577550691,
                0.9999989322970027,
                0.9999996072139402,
                0.9999984465016899,
                0.9999982396567867,
                0.9999986290427932
            ],
            [
                0.9999993524050474,
                0.9999991684719725,
                0.9999994284996891,
                0.9999986290421395,
                0.9999990577555185,
                0.9999984465018751,
                0.9999996072138934,
                0.9999994284996211,
                0.9999990577552937,
                0.9999996940976272
            ],
            [
                0.9999990577556308,
                0.9999987901340281,
                0.9999986290426298,
                0.9999967112493665,
                0.9999962733616052,
                0.9999982396569966,
                0.9999987901337396,
                0.9999986290429566,
                0.9999994284993485,
                0.9999984465018751
            ],
            [
                0.999999694097846,
                0.9999982396565769,
                0.9999994956524716,
                0.9999994956526519,
                0.9999967112517189,
                0.9999982396574163,
                0.9999994956525317,
                0.9999994284992805,
                0.9999991684717742,
                0.9999992661786696
            ],
            [
                0.9999982396569966,
                0.9999982396565769,
                0.9999986290432834,
                0.9999938558253986,
                0.9999982396559474,
                0.9999970976890529,
                0.9999974387171787,
                0.9999952149066464,
                0.9999945777790913,
                0.9999989322966208
            ],
            [
                0.9999984465016899,
                0.9999994956525918,
                0.9999996072136125,
                0.9999994956524115,
                0.9999977396762412,
                0.9999994284993485,
                0.99999976176309,
                0.9999996940977002,
                0.9999995549148419,
                0.9999996072137998
            ],
            [
                0.9999994956526519,
                0.9999995549150011,
                0.9999980052693274,
                0.9999982396572065,
                0.9999994956525317,
                0.9999995549150011,
                0.9999995549147358,
                0.999999554914789,
                0.9999992661787571,
                0.9999986290432835
            ],
            [
                0.9999974387180947,
                0.9999996072137998,
                0.9999970976887073,
                0.9999986290421395,
                0.9999982396572066,
                0.999998239656367,
                0.9999910603068949,
                0.9999974387165682,
                0.9999987901344608,
                0.9999991684715759
            ],
            [
                0.9999921107345944,
                0.9999977396759717,
                0.9999994956524114,
                0.9999987901343165,
                0.9999962733620491,
                0.9999994956526519,
                0.9999957771680659,
                0.9999996533674202,
                0.9999989322967481,
                0.9999994284997574
            ],
            [
                0.9999987901341723,
                0.999988521234612,
                0.9999970976876691,
                0.9999987901338838,
                0.9999989322966208,
                0.9999984465016899,
                0.9999990577550691,
                0.9999993524054334,
                0.9999982396565769,
                0.9999984465015047
            ],
            [
                0.9999992661791945,
                0.9999998144609423,
                0.9999987901341724,
                0.9999994284992805,
                0.9999986290426297,
                0.999999554914842,
                0.9999994956524114,
                0.9999996072139402,
                0.9999994284996891,
                0.9999993524051246
            ],
            [
                0.9999993524050474,
                0.9999962733607161,
                0.9999993524052019,
                0.9999986290429566,
                0.9999984465024307,
                0.9999989322971299,
                0.9999990577556308,
                0.9999995549151073,
                0.9999987901347491,
                0.9999991684717741
            ],
            [
                0.9999993524049703,
                0.9999994284996211,
                0.9999989322973846,
                0.9999993524053562,
                0.9999982396565769,
                0.9999989322972572,
                0.9999994284997573,
                0.9999990577556308,
                0.9999986290427931,
                0.9999995549149481
            ],
            [
                3.7266388397382506e-06,
                6.144173136243255e-06,
                4.222835458117536e-06,
                2.5612812946890944e-06,
                2.260325375634003e-06,
                8.939697369671496e-06,
                4.785096776303374e-06,
                3.2887490652451393e-06,
                1.3007123801387135e-05,
                3.726640616630245e-06
            ],
            [
                0.9999990577550693,
                0.9999993524049702,
                0.9999984465024306,
                0.9999970976883611,
                0.9999984465024306,
                0.9999982396572065,
                0.9999991684718732,
                0.9999980052700408,
                0.999999352405279,
                0.9999990577555185
            ],
            [
                0.999999554914895,
                0.9999989322975118,
                0.9999995549147889,
                0.9999995549151073,
                0.9999994956527721,
                0.999999057755743,
                0.9999997897566589,
                0.9999990577556308,
                0.9999991684721706,
                0.9999994284994167
            ],
            [
                0.9999852610233002,
                0.9999930377445804,
                0.9999599363125938,
                0.9999962733602717,
                0.9999984465015046,
                0.9999974387187053,
                0.9999930377420905,
                0.9999938558268634,
                0.9999938558268635,
                0.9999885212346113
            ],
            [
                0.9999996072137061,
                0.9999998362623722,
                0.999999266179107,
                0.9999994284994167,
                0.9999990577556308,
                0.9999995549149481,
                0.9999991684717742,
                0.9999995549150542,
                0.9999970976869771,
                0.9999987901338839
            ],
            [
                0.9999992661792819,
                0.9999967112493665,
                0.9999992661789321,
                0.9999993524052789,
                0.9999991684716749,
                0.9999974387184,
                0.9999990577556308,
                0.9999991684722698,
                0.9999994956524716,
                0.9999989322966208
            ],
            [
                0.9999980052700409,
                0.999998239656577,
                0.9999982396567868,
                0.9999977396754327,
                0.999999554914895,
                0.9999952149066471,
                0.9999989322967481,
                0.9999974387184002,
                0.9999974387168735,
                0.9999992661791945
            ],
            [
                0.9999970976890531,
                0.9999977396762411,
                0.9999977396748938,
                0.999999653367379,
                0.9999997617630049,
                0.9999995549150542,
                0.9999962733607172,
                0.9999984465016899,
                0.9999945777810305,
                0.9999994284996891
            ],
            [
                0.9999921107383557,
                0.9999967112513268,
                0.9999990577550693,
                0.9999921107355342,
                0.9999984465024306,
                0.9999987901344608,
                0.9999974387165681,
                0.999997097688707,
                0.9999980052705164,
                0.9999952149066464
            ],
            [
                0.9999989322971301,
                0.9999995549149481,
                0.9999986290426298,
                0.9999994284997573,
                0.9999980052693275,
                0.9999994284992805,
                0.999996273358939,
                0.999998932296621,
                0.9999994284994167,
                0.9999995549147359
            ],
            [
                1.1478764019787597e-05,
                1.2098662604192665e-06,
                8.939694172542558e-06,
                7.889263525778283e-06,
                2.260323489410794e-06,
                6.962255419475714e-06,
                1.994729008105057e-06,
                2.5612825160271407e-06,
                8.939694171331106e-06,
                6.144175334239434e-06
            ],
            [
                0.9999996533672962,
                0.9999996072139402,
                0.9999987901343165,
                0.9999982396569966,
                0.9999989322975119,
                0.9999994284994849,
                0.9999990577549568,
                0.9999990577557432,
                0.9999991684716751,
                0.9999986290432835
            ],
            [
                0.9999987901344607,
                0.9999995549147889,
                0.9999996072137998,
                0.9999996533672549,
                0.9999991684715759,
                0.9999982396572065,
                0.9999987901343165,
                0.9999993524052019,
                0.9999996072136125,
                0.9999994284994167
            ],
            [
                0.9999967112493665,
                0.9999994284996211,
                0.9999987901343165,
                0.9999982396572065,
                0.9999945777803838,
                0.999998629042303,
                0.9999980052698031,
                0.9999952149072167,
                0.9999980052705164,
                0.9999977396762411
            ],
            [
                0.999999266178757,
                0.999999554914842,
                0.9999991684719723,
                0.9999989322972572,
                0.999997097687323,
                0.9999990577549569,
                0.999999495652652,
                0.9999991684715758,
                0.9999995549147358,
                0.9999970976876689
            ],
            [
                0.9999980052709919,
                0.9999977396746244,
                0.9999974387171787,
                0.9999989322966208,
                0.9999992661786696,
                0.9999982396565769,
                0.9999974387165682,
                0.9999970976887068,
                0.9999977396757022,
                0.999998239656367
            ],
            [
                0.9999996072139402,
                0.9999994284993485,
                0.9999967112505427,
                0.9999991684717742,
                0.9999980052702786,
                0.9999993524052019,
                0.9999992661791071,
                0.9999992661791071,
                0.999999266179282,
                0.9999995549150542
            ],
            [
                0.999999694097773,
                0.9999984465018752,
                0.9999996533672135,
                0.9999996072137529,
                0.9999994284996211,
                0.999998239656367,
                0.9999982396559474,
                0.9999994956524715,
                0.9999989322975118,
                0.9999992661790196
            ],
            [
                0.9999993524050473,
                0.9999984465024306,
                0.9999993524054334,
                0.9999982396572065,
                0.9999986290427931,
                0.9999994284994168,
                0.9999990577556308,
                0.9999982396561572,
                0.9999991684720715,
                0.9999982396574163
            ],
            [
                0.999999352404893,
                0.999998239656367,
                0.9999977396746245,
                0.9999987901344608,
                0.9999994956527722,
                0.999995777165549,
                0.9999982396565769,
                0.999999266179107,
                0.9999987901343165,
                0.9999967112493665
            ],
            [
                0.9999994956527121,
                0.9999996533672548,
                0.9999987901337396,
                0.9999984465022455,
                0.9999991684715759,
                0.9999990577551815,
                0.9999990577557432,
                0.9999995549148419,
                0.9999930377462407,
                0.9999996072137061
            ],
            [
                0.9999991684716749,
                0.9999992661792819,
                0.999998932296621,
                0.999999266178757,
                0.9999996940978825,
                0.9999987901346049,
                0.9999994956525317,
                0.9999996533675028,
                0.9999993524051246,
                0.9999982396559474
            ],
            [
                0.9999991684717742,
                0.9999996072136125,
                0.9999991684719725,
                0.9999997300422225,
                0.9999996533672962,
                0.9999986290424664,
                0.9999994956525918,
                0.9999990577557432,
                0.9999984465016899,
                0.9999996072139402
            ],
            [
                0.9999996940977731,
                0.999998005269803,
                0.9999980052702786,
                0.9999987901344607,
                0.9999991684721706,
                0.9999991684720715,
                0.9999993524051246,
                0.9999997897565587,
                0.9999994956526519,
                0.9999987901337396
            ],
            [
                2.56128282131428e-06,
                2.5612812945889277e-06,
                3.7266388395620047e-06,
                4.7850944943330625e-06,
                6.144176066672166e-06,
                5.043476486915964e-07,
                1.7603440527046419e-06,
                5.422221555069497e-06,
                3.2887494572873306e-06,
                2.260325375664839e-06
            ],
            [
                0.9999974387165681,
                0.9999984465015048,
                0.9999967112493667,
                0.9999986290429566,
                0.999998629042303,
                0.9999980052700407,
                0.9999967112501507,
                0.9999957771665557,
                0.9999987901340281,
                0.9999990577552939
            ],
            [
                0.9999994956524716,
                0.999998629042303,
                0.9999989322966208,
                0.9999952149060766,
                0.9999989322967481,
                0.9999986290429566,
                0.9999993524052019,
                0.999998239656367,
                0.9999987901347491,
                0.9999996533674614
            ],
            [
                0.999999352405279,
                0.9999938558224686,
                0.9999984465024306,
                0.999995214906076,
                0.999999057755743,
                0.9999970976887069,
                0.9999974387187054,
                0.9999945777803841,
                0.9999945777823235,
                0.9999991684720715
            ],
            [
                0.9999992661792819,
                0.9999996533675028,
                0.9999996072138934,
                0.9999992661791945,
                0.9999993524050473,
                0.9999991684721706,
                0.9999994956524716,
                0.999999266179107,
                0.9999991684716749,
                0.9999994956527121
            ],
            [
                0.999997438717179,
                0.9999995549150011,
                0.9999987901337396,
                0.9999994284993485,
                0.9999996940978461,
                0.9999996533675028,
                0.9999997617629763,
                0.9999996533674202,
                0.9999989322967482,
                0.9999977396746245
            ],
            [
                0.9999852610233045,
                0.9999832985761683,
                0.9999724643056213,
                0.9999910603036967,
                0.9997694931754488,
                0.9999885212318764,
                0.9997694932583484,
                0.9997040430079097,
                0.9999485577924795,
                0.9998911030908227
            ],
            [
                0.9999987901341723,
                0.9999992661791944,
                0.9999980052695653,
                0.999999352405279,
                0.9999991684718732,
                0.9999992661791944,
                0.9999994956523514,
                0.9999995549150011,
                0.9999992661788445,
                0.9999989322973845
            ],
            [
                1.9947290081177566e-06,
                6.1441746018123775e-06,
                6.144176798479122e-06,
                3.726639727994339e-06,
                5.422219616085833e-06,
                1.8925152740434357e-05,
                4.785092783319532e-06,
                4.222834451215781e-06,
                6.144175333635923e-06,
                2.561281600049467e-06
            ],
            [
                0.9999990577551815,
                0.9999982396561572,
                0.9999996940978825,
                0.9999994284994848,
                0.9999991684717741,
                0.9999993524049703,
                0.9999967112517191,
                0.9999974387177893,
                0.9999994956524114,
                0.9999995549151073
            ],
            [
                6.962253759752719e-06,
                2.9023112931688987e-06,
                2.260325375634003e-06,
                4.222833444037741e-06,
                1.5534981249164537e-06,
                5.422220262333096e-06,
                3.726639284017094e-06,
                4.7850927830845245e-06,
                4.222833947728508e-06,
                1.994729008056074e-06
            ],
            [
                3.2887482812745586e-06,
                4.785096776194573e-06,
                8.939700565996655e-06,
                1.9947301970451086e-06,
                3.2887502413389517e-06,
                6.962257909323729e-06,
                7.889264466230069e-06,
                2.260325375634003e-06,
                4.785092783371756e-06,
                6.1441767990323395e-06
            ]
        ]
    },
    {
        "q_id": "10474_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9933071477755031,
                0.8933093961129794,
                0.8807970654616711,
                0.13296424019782924,
                0.9626731117188292,
                0.997199072855343,
                0.9914225164949801,
                0.0006263343053781381,
                0.015906389583376524,
                0.9994472212540602
            ],
            [
                1.670142379382242e-05,
                4.222833444106873e-06,
                4.2228324348205676e-06,
                6.96225873320501e-06,
                2.43002465110435e-05,
                3.120192242062368e-05,
                1.1478768121401121e-05,
                1.1478772210530154e-05,
                1.8925150472994405e-05,
                1.0129995803259e-05
            ],
            [
                0.00043055708771260213,
                0.014063628024676915,
                0.01243165179076934,
                0.9959298616442103,
                0.003172683235698322,
                0.9940889322601605,
                0.002472623520153374,
                0.9669140181551665,
                0.9968273165640134,
                0.0001233946329706308
            ],
            [
                6.144176796221545e-06,
                5.829126536342041e-05,
                8.9396973602726e-06,
                2.7535697624529836e-05,
                4.2228334433617906e-06,
                2.902313022984344e-06,
                6.962256248871951e-06,
                4.222834954211514e-06,
                3.5356238000833036e-05,
                1.670141586084161e-05
            ],
            [
                4.7850967757637256e-06,
                2.561281904923017e-06,
                1.994729483261914e-06,
                8.315279283886136e-07,
                1.0677033790757595e-06,
                7.889259756352216e-06,
                2.902311984250272e-06,
                1.5534983099027147e-06,
                1.0677029972639127e-06,
                2.260324297607547e-06
            ],
            [
                0.9971990736513285,
                0.9964063967933093,
                0.9980732657841871,
                0.9953904281240237,
                0.9924227594744979,
                0.9933071476702477,
                0.9968273165735859,
                0.9947798753196344,
                0.998073265592779,
                0.9953904272629719
            ],
            [
                4.222834951246548e-06,
                1.1478766751997141e-05,
                6.144176065582494e-06,
                2.2603251055414524e-06,
                6.962257077590752e-06,
                4.4508489275752546e-07,
                6.144173866177863e-06,
                2.260323757685871e-06,
                5.422221554670048e-06,
                4.7850956327286435e-06
            ],
            [
                1.1478768122069266e-05,
                4.222832939870796e-06,
                1.6701421825979123e-05,
                1.760342583309205e-06,
                2.7535691079423274e-05,
                3.12019150080726e-05,
                7.889263524788109e-06,
                1.7603425834564988e-06,
                2.5612815993296616e-06,
                1.1478768115554855e-05
            ],
            [
                0.6224593382055109,
                0.8807970873650401,
                0.9953904276112385,
                0.0008040861206368466,
                0.0019267342070819642,
                0.9914225152198789,
                0.0017007227395399974,
                0.9959298620991198,
                0.02297737112266892,
                0.9579122720843811
            ],
            [
                1.4738976670044413e-05,
                1.892515267158635e-05,
                2.144495093329611e-05,
                3.5356267527012524e-05,
                4.006371126336615e-05,
                5.42221702914469e-06,
                1.9947306725215466e-06,
                1.0129994598482479e-05,
                3.726638392449721e-06,
                1.3007129996348077e-05
            ],
            [
                0.994088932254688,
                0.9971990727083718,
                0.9997388097229988,
                0.9959298615309548,
                0.7057850216484838,
                0.37754066879814546,
                0.9996200155218616,
                0.9902915250765117,
                0.9796676449877542,
                0.7310585727705127
            ],
            [
                2.260325105981383e-06,
                3.726639283040963e-06,
                6.144174599174813e-06,
                1.9947304347098384e-06,
                3.7266397276757403e-06,
                2.561281294616881e-06,
                4.222831934052698e-06,
                2.260323758676741e-06,
                1.370957533534567e-06,
                1.7603434230312906e-06
            ],
            [
                0.9992903295448425,
                0.9999810748427657,
                0.0010322309457618751,
                0.0011695101946128596,
                0.9978172839517094,
                0.9999910603068953,
                0.0002959571223737307,
                0.0007096704469841586,
                0.0006263342144373325,
                0.004609573087431367
            ],
            [
                0.08509904732734556,
                0.0003799845659024398,
                0.32082130731838393,
                0.004609572878044053,
                0.9706877712095654,
                0.022977369115535207,
                0.012431651973712475,
                0.9990889487868967,
                0.008577486308659076,
                0.9988304896194892
            ],
            [
                4.785094491060361e-06,
                1.2098662602663157e-06,
                1.1478773578139145e-05,
                7.889260679540059e-06,
                7.889259763010786e-06,
                4.222834953712232e-06,
                2.5612822103812995e-06,
                2.561283125931734e-06,
                8.939697356272375e-06,
                5.422218322565793e-06
            ],
            [
                1.4738983717819781e-05,
                1.6701429789281226e-05,
                7.889263524257144e-06,
                3.726639727750306e-06,
                1.0129988558792384e-05,
                3.2887478888496478e-06,
                7.338210679622478e-07,
                1.6701429800582296e-05,
                1.8925152744771773e-05,
                8.939697364890742e-06
            ],
            [
                5.422220907554695e-06,
                4.785093353874907e-06,
                5.71500242637956e-07,
                3.7266392836984955e-06,
                8.315284241257637e-07,
                1.4738988997768797e-05,
                1.9947306726213275e-06,
                4.222834451169694e-06,
                5.422221555133606e-06,
                1.1478772230198667e-05
            ],
            [
                1.3709570433075437e-06,
                1.1478769490387674e-05,
                3.7266406165827946e-06,
                2.4300249391876106e-05,
                6.605215202365524e-05,
                6.962253759486771e-06,
                2.7535694288417536e-05,
                6.96225375863827e-06,
                4.22283193338827e-06,
                3.5356259015917694e-05
            ],
            [
                0.9999885212264029,
                0.9999938558275985,
                0.9999756997476957,
                0.99990389755102,
                0.9999980052700407,
                0.9990889487415973,
                0.9998911031169144,
                0.000804085936985459,
                0.007577240518498721,
                0.9996646497732251
            ],
            [
                0.9999957771645421,
                0.9999485577925318,
                0.9999898700053983,
                0.9999970976869775,
                0.999995777165549,
                0.0035936019744908856,
                0.9999339478476698,
                0.9999599363221789,
                0.9999038975630892,
                0.9999832985841314
            ],
            [
                0.9149009544128984,
                0.04742586812868187,
                0.9626731101124724,
                0.0005527787163542734,
                0.9989677690494364,
                7.484622719042334e-05,
                0.0008040860312196137,
                0.9999724643089485,
                0.9996200154242477,
                0.0024726230848499072
            ],
            [
                0.9989677690603603,
                0.0006263340257789243,
                0.00029595709519761575,
                0.012431652293862965,
                0.9933071489085451,
                0.9796676459524044,
                0.00026119033656732296,
                0.00048785708242140235,
                1.1478765385746131e-05,
                0.006692852388571278
            ],
            [
                3.7266383941918447e-06,
                4.0063677758769415e-05,
                3.726640616423495e-06,
                3.7266397274452643e-06,
                4.222833943619034e-06,
                1.3007131559390956e-05,
                3.288750239044785e-06,
                2.902313367279309e-06,
                2.902312675030891e-06,
                7.889259762307618e-06
            ],
            [
                0.00522012466827506,
                0.00033535018524059824,
                0.001700722546234926,
                7.484626287395567e-05,
                0.0019267350573374247,
                5.829126551609642e-05,
                9.610238050882334e-05,
                0.00010889693480950339,
                0.0008040861077293376,
                0.0002034269479437302
            ],
            [
                4.22283294007051e-06,
                1.3007123790882312e-05,
                1.4738987227794512e-05,
                7.889262583231455e-06,
                4.0063687331300266e-05,
                5.4222202609325635e-06,
                1.9947292456607935e-06,
                1.994729721323867e-06,
                4.785093922776592e-06,
                0.00010889689527974386
            ],
            [
                0.0003799844653368999,
                0.0001398221064806155,
                0.000158436178074846,
                0.0002305067413028301,
                0.0003353502238088432,
                0.001032231001582084,
                0.0010322310176679081,
                0.9947798747296128,
                8.481108148371828e-05,
                0.00015843615875048511
            ],
            [
                0.8519528000888386,
                0.9990889488134407,
                0.9975273773240366,
                0.9669140251866016,
                0.9984988176144833,
                0.24508502416032488,
                0.9971990724527979,
                0.9924227603184056,
                0.16451646699291617,
                0.995929861595133
            ],
            [
                1.6701429799367125e-05,
                3.28874828059259e-06,
                2.260324028004393e-06,
                3.2887498489407274e-06,
                1.4738976687631543e-05,
                8.939699497042417e-06,
                6.144173860098054e-06,
                4.222831932781451e-06,
                6.47594566597747e-07,
                1.2098662603961589e-06
            ],
            [
                1.4738985480179701e-05,
                3.726637950329997e-06,
                6.9622570780973205e-06,
                6.962257077590752e-06,
                2.9023119844508833e-06,
                2.2603253749309368e-06,
                1.5534975692866768e-06,
                1.370956716450141e-06,
                1.994729959019382e-06,
                2.144494838814782e-05
            ],
            [
                0.0003799844759495092,
                0.0013250223207787893,
                0.0028009270971839817,
                0.002182716092914871,
                0.9999989322970028,
                0.999948557798617,
                0.00037998442828120806,
                0.9996646499778719,
                0.017986213317825978,
                0.012431651916542745
            ],
            [
                0.0035936020195103564,
                0.000487857199189761,
                0.999195914052726,
                0.996827317070625,
                0.0006263341491100712,
                0.020332352229600788,
                0.025957357527457123,
                0.0534033243385824,
                0.08509905254807777,
                0.9924227583679632
            ],
            [
                1.4738978452886064e-05,
                1.0129992184544441e-05,
                5.043476486764593e-07,
                6.962256246035174e-06,
                0.00020342706456579276,
                0.9997040430065578,
                5.422218967333467e-06,
                0.9890130559526117,
                4.785093923690512e-06,
                8.939697367264857e-06
            ],
            [
                6.144176797439742e-06,
                5.829127197174781e-05,
                2.5612831265630198e-06,
                1.147876401064237e-05,
                2.56128129423019e-06,
                2.2603251061849014e-06,
                3.288747887521604e-06,
                7.889265405505236e-06,
                4.539786842002963e-05,
                2.1444958557508677e-05
            ],
            [
                0.0002959569878020427,
                9.610246007995566e-05,
                0.0003799845135137266,
                0.9999339478474948,
                0.9997040430071777,
                0.9999599362982671,
                0.7981867777396211,
                0.000379984509180244,
                0.9998601778759911,
                0.0010322309761328701
            ],
            [
                7.889263520339493e-06,
                0.9999038975736655,
                1.1478773596847203e-05,
                2.9023130217727535e-06,
                4.222832938649476e-06,
                2.7535687785784475e-05,
                8.939697368305565e-06,
                7.484622689092787e-05,
                6.96225707640032e-06,
                1.4738980196585833e-05
            ],
            [
                0.99990389759847,
                6.605212064015163e-05,
                0.9997965729787044,
                4.539785231965789e-05,
                0.00020342704447568141,
                4.006368256456438e-05,
                0.0031726821171764496,
                0.00020342694560560715,
                0.000487857213778712,
                8.481105110736149e-05
            ],
            [
                0.00010889690827728185,
                0.00037998460456109177,
                1.8925148230890784e-05,
                0.00017952796399738755,
                1.473897845240349e-05,
                0.9770226276228724,
                0.9940889318880258,
                0.9579122752383734,
                0.9399133552961427,
                0.0021827162977808286
            ],
            [
                4.2228349539810764e-06,
                2.9023109468548636e-06,
                3.726640616477725e-06,
                1.7603434231241496e-06,
                4.785095634565186e-06,
                5.422218965676499e-06,
                9.422450431800595e-07,
                1.9947294834143063e-06,
                5.4222215476476565e-06,
                9.422449307786829e-07
            ],
            [
                0.9998766053962245,
                0.999964643757826,
                0.9999646437619502,
                0.06008664975322681,
                0.999985261014516,
                0.9999785550541487,
                0.9991959140603955,
                0.00043055702521053513,
                0.9996200154254749,
                0.9982992777563725
            ],
            [
                4.78509563466093e-06,
                1.4738981963234875e-05,
                2.4300252285704095e-05,
                7.484626265287347e-05,
                1.8925145958150083e-05,
                5.422218322763051e-06,
                1.4738985476533587e-05,
                6.14417606031854e-06,
                2.7535681206621957e-05,
                2.753570084804973e-05
            ],
            [
                0.00010889692145386834,
                2.1444958618516124e-05,
                3.1201918779615236e-05,
                2.430023492353693e-05,
                1.3007130007515371e-05,
                4.006371123377989e-05,
                5.144223799504758e-05,
                3.7266383952696564e-06,
                1.670141785596473e-05,
                4.006371105888578e-05
            ],
            [
                0.006692850354668237,
                0.003172682648824058,
                0.9859363706968794,
                0.998830489887525,
                7.484622699602356e-05,
                0.9999251537905833,
                0.9999885212291846,
                0.9998911031038947,
                0.999841563783417,
                0.9998415638399794
            ],
            [
                0.00033534998322814574,
                9.422445938557184e-07,
                1.1478769481785311e-05,
                1.0129987353832463e-05,
                7.889264465986113e-06,
                1.892515274546026e-05,
                1.1478773590165753e-05,
                1.3007123806876143e-05,
                2.430023493485234e-05,
                8.939693105272102e-06
            ],
            [
                3.2887494572095624e-06,
                3.535624646549072e-05,
                4.785093923690512e-06,
                1.7603436329714805e-06,
                1.994729483608425e-06,
                2.2603242964974424e-06,
                4.222833443891798e-06,
                2.260324297607547e-06,
                8.315277302649045e-07,
                2.561281294644835e-06
            ],
            [
                1.3709578605355551e-06,
                2.9023126768258393e-06,
                2.1444958592303205e-05,
                4.785093923847183e-06,
                8.9396994983433e-06,
                1.0129994596455602e-05,
                3.288749847594736e-06,
                1.9947294833417385e-06,
                2.260324567087388e-06,
                1.994729721323867e-06
            ],
            [
                0.9999898700126435,
                0.9999910603015651,
                0.0017007225620472007,
                0.9999810748495068,
                0.9999785550464821,
                0.00013982208811003034,
                0.9996646499720179,
                0.004070138436956111,
                0.9999869928684348,
                0.004070138495471456
            ],
            [
                1.4738978440392765e-05,
                2.9023133687311063e-06,
                1.4738980202752053e-05,
                5.422220905315815e-06,
                1.3007128453983806e-05,
                8.939700564679507e-06,
                3.7266383925988527e-06,
                3.7266410604686857e-06,
                7.889266345397582e-06,
                1.1478765369815061e-05
            ],
            [
                0.9997965730530743,
                0.03308597672022805,
                0.0031726834411411574,
                0.9902915222022963,
                0.999933947824066,
                0.0024726229774597497,
                0.9999810748517638,
                0.03308597517092889,
                0.999903897608017,
                0.9999945777790918
            ],
            [
                3.726638838107975e-06,
                9.422449308241022e-07,
                5.42221702682691e-06,
                7.889266346287306e-06,
                3.288748673265808e-06,
                2.2603253754284284e-06,
                3.726640169660102e-06,
                2.5612812945260317e-06,
                1.7603432130543019e-06,
                6.144173867608406e-06
            ],
            [
                0.9999417087553606,
                0.0007096702844689846,
                0.00048785708137122515,
                0.000626334155413259,
                0.9997040429740515,
                0.0009110513891619314,
                0.0035936030866387083,
                0.0035936022462751045,
                0.001926734760934478,
                0.9999756997621686
            ],
            [
                0.9991959140737241,
                0.9840936109997572,
                0.9959298624124601,
                0.00012339461863071857,
                0.998073264995048,
                0.9968273174874014,
                0.9997694933652526,
                0.9953904287201364,
                0.9770226308844648,
                0.9770226287937005
            ],
            [
                1.9947294835866542e-06,
                1.067702615274497e-06,
                2.260324027765926e-06,
                6.144175330383673e-06,
                3.2887502385303175e-06,
                2.699577452700046e-07,
                3.2887478883351803e-06,
                1.760343842833246e-06,
                1.2098652508056196e-06,
                2.5612812934614663e-06
            ],
            [
                0.010986942114474976,
                0.01098694158823683,
                0.005220124728728082,
                0.002472622895337868,
                0.0007096702618068513,
                0.0004878571004163299,
                0.001325022348045376,
                0.995929861802768,
                0.0005527787310505574,
                0.00280092669593962
            ],
            [
                6.60521209179157e-05,
                0.0001233945890514007,
                7.484622685281027e-05,
                0.9149009636941993,
                0.0007096705257856623,
                0.0024726227305198333,
                0.9820137924066618,
                0.0003353502675481458,
                1.147877359392407e-05,
                0.00020342694817458286
            ],
            [
                3.7266401721817755e-06,
                1.1478768112422929e-05,
                4.222832940423847e-06,
                7.889262583633267e-06,
                4.785092782597101e-06,
                1.3007134645587309e-05,
                1.892515047774492e-05,
                5.422220908018252e-06,
                7.88925976283858e-06,
                3.7266392838544054e-06
            ],
            [
                2.260323758806253e-06,
                2.561281294616881e-06,
                1.2098662604126641e-06,
                6.475951069631906e-07,
                6.475948753965404e-07,
                1.0677031245312763e-06,
                2.9023109454928147e-06,
                1.5534973840377051e-06,
                6.475946438022905e-07,
                1.06770312455264e-06
            ],
            [
                6.9622579075254155e-06,
                5.4222189669981275e-06,
                2.902313022015599e-06,
                2.260323757291167e-06,
                8.939700560549195e-06,
                1.3709570431803621e-06,
                2.561283126304449e-06,
                3.2887486728201357e-06,
                1.1478763998866327e-05,
                3.288748673035494e-06
            ],
            [
                2.260324028351814e-06,
                1.1478768119563723e-05,
                1.3007128456065844e-05,
                5.422219615750493e-06,
                1.4738978441143436e-05,
                8.939696296213323e-06,
                4.006369682221619e-05,
                3.7266392835086923e-06,
                4.222832940777184e-06,
                1.9947301970287804e-06
            ],
            [
                0.9740426406829585,
                0.982013792143467,
                0.13296425050508956,
                0.9978172839304115,
                0.9924227600137585,
                0.9914225148951635,
                0.00020342694784902143,
                0.009708477833519396,
                0.24508501864634824,
                0.9953904273548458
            ],
            [
                1.012999338147113e-05,
                1.7603438427243761e-06,
                2.561281294558644e-06,
                4.785095632554564e-06,
                2.260324028255194e-06,
                3.726640172337686e-06,
                3.7266388386231563e-06,
                1.209865683500459e-06,
                1.2098653950315304e-06,
                3.7266401719851935e-06
            ],
            [
                2.5612825159677387e-06,
                1.760343003208622e-06,
                1.9947290076932355e-06,
                6.14417460073947e-06,
                3.726640616630245e-06,
                2.9023116390104826e-06,
                1.3007131550163741e-05,
                1.4738985440876734e-05,
                1.8925152741191683e-05,
                4.222835457449267e-06
            ],
            [
                8.481104108187037e-05,
                0.00033535025585961425,
                0.00015843623333473969,
                0.9999785550414035,
                0.020332351339154456,
                0.9999957771660526,
                0.0004878572019713119,
                0.0002034270440790882,
                0.007577242591500567,
                0.10669058329418492
            ],
            [
                0.9997965730524351,
                0.0006263341187236061,
                0.0002611903312171667,
                0.004609571999899402,
                0.9984988174528979,
                0.9999485577802837,
                0.9995121427676871,
                0.9964063973085323,
                0.001169510360248299,
                0.012431652659749251
            ],
            [
                4.222833443968609e-06,
                3.726638839656906e-06,
                9.422448184681581e-07,
                4.7850933529174686e-06,
                1.5534983100920427e-06,
                6.144175332115971e-06,
                5.715005832762133e-07,
                3.288749849209925e-06,
                5.829128614135801e-05,
                9.422443692261927e-07
            ],
            [
                8.93969630226244e-06,
                3.7266397273639203e-06,
                4.785092782188013e-06,
                2.2603234893594005e-06,
                1.0129992184544441e-05,
                3.726639727526609e-06,
                3.535624637944346e-05,
                5.422221554038823e-06,
                6.962259569117366e-06,
                6.96225624314774e-06
            ],
            [
                0.005220126056276607,
                0.0013250221573333288,
                0.0006263340709214004,
                0.9999852610215626,
                0.9820137926698567,
                0.9999984465022455,
                0.05340333017646162,
                0.004070137519586624,
                0.9999724643023546,
                0.0015011821565749889
            ],
            [
                8.939699500489763e-06,
                1.4738987240475486e-05,
                1.9947294836483373e-06,
                9.422450431569214e-07,
                6.144172404380855e-06,
                2.260324567227179e-06,
                1.3709578605243332e-06,
                2.9023126770343703e-06,
                1.892515500560259e-05,
                4.785094494185095e-06
            ],
            [
                1.5534981248528732e-06,
                1.67014178554179e-05,
                4.222831933296096e-06,
                4.785096205651846e-06,
                8.939697368500698e-06,
                4.222835457906302e-06,
                5.422218323290717e-06,
                6.1441767987808774e-06,
                2.5612812946890944e-06,
                3.288750241204353e-06
            ],
            [
                0.00023050671299894272,
                NaN,
                8.481108122826806e-05,
                0.00026119024361597387,
                0.00026119030568993133,
                0.9996200155180698,
                4.539787938262061e-05,
                9.610244879674718e-05,
                0.0005527787367425535,
                0.0001584362351581413
            ],
            [
                1.6701418237588173e-05,
                0.9875683476604012,
                0.9924227593239251,
                0.9984988180549169,
                0.9149009532527357,
                0.9796676460266084,
                0.0009110510539987647,
                0.999968798081212,
                0.0021827159392654163,
                0.0010322312255832116
            ],
            [
                0.999447221454695,
                0.99908894887686,
                4.006370169593065e-05,
                0.9990889487724858,
                0.998674977535802,
                0.9465966732132748,
                0.00012339461824470617,
                4.006370163879859e-05,
                0.001700722097166378,
                0.9975273770397687
            ],
            [
                1.9947306725215466e-06,
                2.902312329070401e-06,
                1.209865250456804e-06,
                6.962256243730292e-06,
                0.9982992775545684,
                3.726639727750306e-06,
                5.422218321855664e-06,
                6.962254587420098e-06,
                5.422218969306048e-06,
                7.889261641904523e-06
            ],
            [
                0.904650530602188,
                3.288750241204353e-06,
                2.9023133676594165e-06,
                6.144177531208195e-06,
                1.3709570433786157e-06,
                1.3709568798956654e-06,
                3.288748672879957e-06,
                6.1441738684354385e-06,
                6.962256248314727e-06,
                1.2098653949534047e-06
            ],
            [
                0.00026119024206564505,
                0.9991959138997065,
                0.012431651150468391,
                0.9669140181551665,
                0.00012339461875639704,
                0.9998911030778189,
                0.9998766053665553,
                9.610238047666152e-05,
                0.9947798732884124,
                0.015906388562892563
            ],
            [
                6.144173867451939e-06,
                1.1478766752372975e-05,
                6.144177528838857e-06,
                4.222834449337713e-06,
                3.288750241374845e-06,
                4.222834449921489e-06,
                3.7266392838544054e-06,
                2.9023123309973302e-06,
                5.422220261652556e-06,
                1.4738988982594524e-05
            ],
            [
                0.99883048976799,
                0.9953904282287174,
                0.9996200154247563,
                0.9998911030448473,
                0.4687906266262437,
                0.997817283647453,
                0.5312093733737563,
                0.9940889317594204,
                0.9995121429398309,
                0.9990889486690121
            ],
            [
                8.48110105315259e-05,
                0.00012339455875931391,
                0.0004878570450975405,
                8.481106124762124e-05,
                0.9997040429718298,
                0.9971990726251314,
                0.00037998452194854107,
                8.481101072774111e-05,
                0.0002959570877061016,
                0.0001795280280490273
            ],
            [
                7.889259755290287e-06,
                7.889260698769554e-06,
                3.2887490644495094e-06,
                2.260323758557508e-06,
                1.0129987351289655e-05,
                5.1442225526542055e-05,
                4.785096204415878e-06,
                3.726638839395927e-06,
                2.5612831263510383e-06,
                5.422218965025547e-06
            ],
            [
                3.288749848749297e-06,
                1.994729244851665e-06,
                3.2887490649221017e-06,
                3.535623805498234e-05,
                6.1441760651689774e-06,
                5.422221554670048e-06,
                4.785093923116048e-06,
                1.3709578605118645e-06,
                4.785092782936557e-06,
                6.962259567914269e-06
            ],
            [
                7.88926163685319e-06,
                7.889261642578988e-06,
                3.2887486728201357e-06,
                5.422217676101776e-06,
                1.4738987222647056e-05,
                7.889259757385442e-06,
                5.422220262037209e-06,
                1.892515272783517e-05,
                4.222833442570621e-06,
                6.962254585710433e-06
            ],
            [
                4.2228349536200574e-06,
                6.962254588116627e-06,
                2.5612828209345766e-06,
                2.5612834314274337e-06,
                1.3709573702248741e-06,
                1.3007134648426451e-05,
                1.9947299589867267e-06,
                1.6701415865641523e-05,
                1.5534979396815448e-06,
                2.260324836651547e-06
            ],
            [
                2.9023126768258393e-06,
                1.2098652508144226e-06,
                8.939694162533871e-06,
                6.962253753673913e-06,
                8.939694166664182e-06,
                1.3709570433661467e-06,
                2.2603237586397375e-06,
                2.2603245672025095e-06,
                6.14417460073947e-06,
                5.422220260508458e-06
            ],
            [
                4.222832436687113e-06,
                1.4738980200821758e-05,
                1.209865683307345e-06,
                6.14417459705135e-06,
                2.9023119850527192e-06,
                3.72663839473414e-06,
                2.9023130226068764e-06,
                4.222833444283541e-06,
                6.962253758182361e-06,
                1.1478770854906172e-05
            ],
            [
                1.2098656834613962e-06,
                3.120192621804711e-05,
                5.043473480730849e-07,
                0.939913344987013,
                0.00015843627060498086,
                1.553498495189945e-06,
                5.42222090821551e-06,
                8.93969310367852e-06,
                1.473898723610551e-05,
                2.2603248367173307e-06
            ],
            [
                0.9999910603068942,
                0.9999485577802795,
                0.9999038976195121,
                0.9999599363078501,
                0.9999832985701962,
                0.9996200155631845,
                0.9999546021422212,
                0.9998911030519267,
                0.9998204719913973,
                0.9999546021313669
            ],
            [
                0.9984988174049108,
                0.9999646437366584,
                0.9579122681794381,
                0.9996646497710006,
                0.005911068568933838,
                0.99973880966303,
                0.9999810748427427,
                0.9986749778825652,
                0.9997388095671831,
                0.00043055702170340543
            ],
            [
                1.0129990978847043e-05,
                0.9579122737364724,
                0.000261190367117933,
                0.00010889694756303517,
                0.0017007221979696069,
                1.670142781244497e-05,
                1.0129994598777299e-05,
                5.144223174694637e-05,
                0.00013982210689156329,
                0.9859363724402116
            ],
            [
                1.2098655392222467e-06,
                2.5612828212676906e-06,
                1.1478773596847203e-05,
                1.0129995808639442e-05,
                2.2603237586397375e-06,
                3.2887506334201674e-06,
                8.939694167932546e-06,
                2.1444953515423628e-05,
                3.726638395415398e-06,
                3.7266383950256237e-06
            ],
            [
                2.260323489192885e-06,
                4.222832433115329e-06,
                3.288748279952497e-06,
                4.222832436955956e-06,
                3.2887506330851655e-06,
                1.3709573702248741e-06,
                6.144173133762157e-06,
                5.422218320287462e-06,
                5.422217674937953e-06,
                6.144174595777273e-06
            ],
            [
                0.00026119024624545313,
                0.9924227598841958,
                0.9975273766550018,
                0.9740426450156363,
                0.005911069225642334,
                0.9902915226768554,
                0.9324533036984186,
                0.7772998663336157,
                0.924141827813457,
                0.9770226280410254
            ],
            [
                0.999820471948409,
                0.9859363720269774,
                0.6791787056691697,
                0.9995694429633788,
                0.24508501313237172,
                0.9989677690503967,
                0.9959298630863301,
                0.89330940889474,
                0.9914225135883824,
                0.9989677689391164
            ],
            [
                8.315280276456036e-07,
                1.9947304344431518e-06,
                1.7603430028275796e-06,
                1.2098656835076114e-06,
                7.889264464508026e-06,
                6.1441738659766924e-06,
                5.422217675085898e-06,
                2.7535704148501754e-05,
                2.430023775318364e-05,
                8.939700560874416e-06
            ],
            [
                0.9859363712134224,
                2.4300240619163735e-05,
                1.8925152736303473e-05,
                3.726637950723161e-06,
                5.8291272214333073e-05,
                1.0677029971823428e-06,
                0.9740426449214477,
                5.422221554581283e-06,
                3.2887502406420278e-06,
                0.9669140236373025
            ],
            [
                7.889262578983744e-06,
                2.260324567177841e-06,
                4.78509563509613e-06,
                1.6701417850314193e-05,
                5.422218319518156e-06,
                6.9622562478334885e-06,
                2.5612816000331606e-06,
                4.22283193320392e-06,
                3.726639728184142e-06,
                6.475947209918244e-07
            ],
            [
                3.2887486731252264e-06,
                8.939697359427022e-06,
                1.300712533575394e-05,
                8.939695234983602e-06,
                1.4738983719053027e-05,
                4.222834953804408e-06,
                7.338212429307298e-07,
                4.222831932021007e-06,
                1.9947290078746543e-06,
                8.93969309928803e-06
            ],
            [
                2.9023116388072315e-06,
                3.7266410607194972e-06,
                1.0129989769188164e-05,
                1.4738983709616027e-05,
                1.3007133106487501e-05,
                6.1441775261789395e-06,
                1.5534977543406908e-06,
                1.5534981245957261e-06,
                1.0677027427340866e-06,
                1.6701423774622762e-05
            ],
            [
                3.7266401719851935e-06,
                4.222832937389751e-06,
                3.7266383941918447e-06,
                2.5612834305981435e-06,
                4.2228334438149845e-06,
                4.785093351255006e-06,
                2.561282515028964e-06,
                8.315281267430323e-07,
                3.7266410598992754e-06,
                1.5534981247426673e-06
            ],
            [
                4.0063682546783496e-05,
                4.785092781300206e-06,
                4.222833444168322e-06,
                1.0677028699858827e-06,
                1.1478765372946989e-05,
                1.6701419838997157e-05,
                1.1478769479572082e-05,
                0.00015843617613388062,
                6.962259562228048e-06,
                1.0129990967459678e-05
            ],
            [
                0.998299277369367,
                0.9525741232882134,
                0.9940889306129168,
                0.9975273769955492,
                0.9953904273591192,
                0.9964063967599616,
                0.9978172831530363,
                0.9968273175463098,
                0.9579122711832405,
                0.9324533149608596
            ],
            [
                4.222835456696504e-06,
                1.5534973841592143e-06,
                2.5612819052072116e-06,
                1.14787722084422e-05,
                6.144173133560988e-06,
                4.785095635017795e-06,
                1.1478769492141554e-05,
                8.939697366793286e-06,
                1.0129988563546333e-05,
                7.8892663440917e-06
            ],
            [
                3.535623804983752e-05,
                5.1442201350809364e-05,
                0.0006263340908511304,
                0.8354835391516133,
                0.9953904276454242,
                5.1442201350809364e-05,
                8.481103119027577e-05,
                0.9046505408849362,
                1.8925157262578186e-05,
                0.000379984570070101
            ],
            [
                4.222834953082369e-06,
                6.475950297906914e-07,
                1.892515046321799e-05,
                1.3709567165386693e-06,
                3.7266410589163644e-06,
                1.7603438428188364e-06,
                5.4222176755001384e-06,
                3.7266388369691555e-06,
                4.222833442309458e-06,
                5.422218319103914e-06
            ],
            [
                2.2603240266517104e-06,
                3.726639726347116e-06,
                5.422218319715415e-06,
                1.5534981249164537e-06,
                1.7603432132784448e-06,
                3.288749062947982e-06,
                2.9023109464641985e-06,
                5.715005832572414e-07,
                3.7266379500520703e-06,
                1.89251549826762e-05
            ],
            [
                1.3007123805078022e-05,
                1.1478765385432939e-05,
                6.14417533016015e-06,
                0.9399133525610676,
                2.144495862623957e-05,
                6.475949524161799e-07,
                3.2887478882574116e-06,
                2.561282210194942e-06,
                7.889259761489647e-06,
                1.1478765385098868e-05
            ],
            [
                0.003593601754395705,
                0.9820137942161259,
                0.007577242080253438,
                0.0031726833351061437,
                0.9820137859583881,
                0.9933071492955128,
                0.9940889297537231,
                0.0005527786618140201,
                0.9998601778596243,
                0.02033235471543033
            ],
            [
                0.979667647918807,
                0.9770226278319488,
                0.9902915229991972,
                6.60521602878618e-05,
                0.4687906266262437,
                9.61024034059329e-05,
                0.9964063975619752,
                0.9959298618027681,
                0.9740426428492974,
                0.996827316480069
            ],
            [
                0.9770226288773312,
                0.999891103039235,
                0.9964063974110767,
                0.9992903296298359,
                0.025957359175758542,
                0.00026119036516482173,
                0.9990889487786315,
                0.9994472213419807,
                0.9241418246795768,
                0.9982992779530376
            ],
            [
                0.9999898700102285,
                0.9999724643089054,
                0.9999957771665555,
                0.9999151889789765,
                0.9999852610215436,
                0.9999869928746379,
                0.0011695102719909887,
                7.484620008227652e-05,
                0.9998204719703159,
                0.9999339478317334
            ],
            [
                7.48462357451035e-05,
                0.9998601779606422,
                0.0017007227713622046,
                0.9999038975736549,
                4.539787398489018e-05,
                0.0007096704611841147,
                0.0017007222341401786,
                0.001700722268729524,
                0.012431649275301514,
                0.00023050682273353598
            ],
            [
                5.4222183231674305e-06,
                4.222833444037741e-06,
                2.902310946944611e-06,
                6.475947209768052e-07,
                6.475948753930064e-07,
                1.0677031245623505e-06,
                4.222834450666572e-06,
                1.5534981248528732e-06,
                7.889264463446097e-06,
                1.7603425836005905e-06
            ],
            [
                0.0005527786426799112,
                0.004609571692228324,
                0.0008040861063731137,
                0.00020342701928313442,
                0.007577242388402389,
                0.000804086054976911,
                0.9999646437535324,
                0.025957355361118265,
                0.9980732655363639,
                0.004070138144379401
            ],
            [
                0.9959298628484936,
                0.9902915237871441,
                0.9953904280983844,
                0.970687767658707,
                0.9820137892812233,
                0.9940889311957456,
                0.9940889325173713,
                0.9525741281688026,
                0.9978172835571902,
                0.9770226284591782
            ],
            [
                5.144223192135723e-05,
                0.9996646498979742,
                0.00010889692203379031,
                0.0009110514033610691,
                0.9840936088713191,
                0.00023050665660580492,
                5.829129324249228e-05,
                0.0004878570525339295,
                0.9875683477747408,
                0.0002959570259484773
            ],
            [
                0.9999724643154754,
                0.0008040859684124316,
                NaN,
                0.0017007227177981174,
                0.9999646437451019,
                0.999903897562685,
                0.9999832985841427,
                0.9999869928653343,
                0.0011695105212601118,
                0.004609572777623611
            ],
            [
                6.144173133136295e-06,
                1.4738988995409548e-05,
                2.4300249375698603e-05,
                4.006370644751132e-05,
                6.605212865494324e-05,
                7.889266342513156e-06,
                0.0006263341325687579,
                0.0010322312596755632,
                3.7266410605974813e-06,
                1.147877085766227e-05
            ],
            [
                1.1478764005255457e-05,
                1.994729721265813e-06,
                3.288749064802458e-06,
                4.4508505192091017e-07,
                3.120190015005834e-05,
                6.144174599700092e-06,
                0.9995694430164491,
                6.144175331210705e-06,
                1.5534975693601474e-06,
                5.422218319715415e-06
            ],
            [
                0.9999417087485157,
                0.00048785720952123593,
                0.9999339478632779,
                0.9992903294631515,
                0.00048785720526375994,
                0.9770226279573947,
                0.9997965730546193,
                0.9999724643056309,
                0.9999599363031303,
                0.9998415637649571
            ],
            [
                1.7603432132464244e-06,
                3.2887506326006084e-06,
                1.0677024881829577e-06,
                2.5612828209811664e-06,
                6.475946437422142e-07,
                8.31528424146183e-07,
                2.6995790618252024e-07,
                1.7603440525205244e-06,
                2.260324297607547e-06,
                1.9947304346826253e-06
            ],
            [
                0.9525741261492485,
                0.182425528251267,
                0.0009110512659261399,
                0.9992903295523966,
                0.02297736857193652,
                0.9525741320396143,
                0.20181322946142374,
                0.9975273765688599,
                0.9971990731961081,
                0.974042641766128
            ],
            [
                1.4738976679695888e-05,
                2.260323758516393e-06,
                2.144495860197702e-05,
                2.260325104579362e-06,
                6.144177530548804e-06,
                4.785093921819153e-06,
                6.144177529364136e-06,
                1.1478764011143482e-05,
                1.1478765380839446e-05,
                7.889265402362503e-06
            ],
            [
                4.539788430241033e-05,
                2.9023126768258393e-06,
                1.5534977544932838e-06,
                1.5534975692866768e-06,
                1.5534973841592143e-06,
                3.7266410596010127e-06,
                3.2887494569044713e-06,
                4.785095634756674e-06,
                2.144494072680393e-05,
                1.994729483680993e-06
            ],
            [
                1.994729245722476e-06,
                7.889266329224704e-06,
                5.7150044702099e-07,
                9.422444815323792e-07,
                2.260324027054637e-06,
                1.8925141442067574e-05,
                1.9947297213492663e-06,
                6.14417459774427e-06,
                1.9947297213746646e-06,
                2.5612834317116285e-06
            ],
            [
                2.75357009146638e-05,
                2.4300246465693457e-05,
                1.4738980207363312e-05,
                1.2098659717768927e-06,
                8.939697366289195e-06,
                1.0129994594944656e-05,
                4.222833443154396e-06,
                1.8925143705306717e-05,
                2.4300249362084747e-05,
                5.422217027931554e-06
            ],
            [
                3.7266388388875246e-06,
                1.8925150466660388e-05,
                1.7603427934462202e-06,
                7.88925976080083e-06,
                1.4738987232888351e-05,
                5.422217676299034e-06,
                6.962259564786214e-06,
                2.2603240281935217e-06,
                6.96225956643256e-06,
                3.5356254892335935e-05
            ],
            [
                0.029312233242257107,
                0.999996273359828,
                0.00033535018244042485,
                0.001325022121902176,
                0.9999952149043646,
                0.9982992772576929,
                0.010986942246034515,
                0.9971990727038196,
                0.9989677689233907,
                0.9999885212359854
            ],
            [
                3.726640615921872e-06,
                4.785093352813021e-06,
                1.5534979396024226e-06,
                6.9622545872301346e-06,
                1.7603427935518875e-06,
                6.475947981095112e-07,
                9.422442569097361e-07,
                2.902312330849511e-06,
                1.7603430033799313e-06,
                1.9947306726049992e-06
            ],
            [
                3.7266397278791014e-06,
                7.889264463446097e-06,
                6.144174601499446e-06,
                3.7266392824512166e-06,
                1.2098662603862553e-06,
                9.422450431140731e-07,
                2.5612828196160983e-06,
                1.5534979397140412e-06,
                1.9947290079889487e-06,
                3.288750241042834e-06
            ]
        ]
    },
    {
        "q_id": "10626_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            27,
            28,
            29,
            31,
            32,
            33,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                7.889264465986113e-06,
                8.939700566143004e-06,
                0.9978172835272718,
                0.9968273178320151,
                0.9940889307825664,
                0.9902915217008755,
                7.889259763728304e-06,
                1.6701415858046724e-05,
                6.144173868983067e-06,
                1.4738980212644815e-05
            ],
            [
                0.9999898700126442,
                0.999989870005398,
                0.9999921107336526,
                0.9999869928746383,
                0.9999852610233005,
                0.9999546021097148,
                0.9999987901344607,
                0.9999869928746392,
                0.9996646498928325,
                0.999988521231875
            ],
            [
                0.99997855505926,
                0.9998766053663866,
                0.99992515374599,
                0.9999485577740995,
                0.9994472212592055,
                0.9998601779592853,
                0.9999910603026306,
                0.9999869928653338,
                0.9999417087066731,
                0.999860177859431
            ],
            [
                0.9999417087553522,
                0.9999485578047577,
                0.9999038975964829,
                0.9999898700090206,
                0.9998415637456812,
                0.9998911031167418,
                0.9998601779093368,
                0.9999785550567005,
                0.9999810748562732,
                0.9999038975507067
            ],
            [
                4.539786860697828e-05,
                3.288748672879957e-06,
                5.422220907909759e-06,
                1.3007130011655787e-05,
                8.939697363622378e-06,
                3.2887482809933958e-06,
                2.260324297702111e-06,
                2.4300234929636645e-05,
                3.120190019932095e-05,
                5.422218322348809e-06
            ],
            [
                0.9999957771655488,
                0.999996273360716,
                0.9999785550515897,
                0.9999810748517607,
                0.999948557786366,
                0.9999546021151331,
                0.9999038976080269,
                0.9999251537728232,
                0.9999599362934992,
                0.9999921107364745
            ],
            [
                2.7535684524701807e-05,
                7.889259758619574e-06,
                5.144219519403497e-05,
                9.610244890302106e-05,
                5.422221554374162e-06,
                2.9023109469842055e-06,
                2.7535687793096995e-05,
                1.4738987239698005e-05,
                1.5534979397500702e-06,
                2.1444958621558693e-05
            ],
            [
                0.9999151889688344,
                0.999841563726668,
                0.9999962733616043,
                0.9999852610145148,
                0.9999810748517622,
                0.9997694933677074,
                0.999981074858529,
                0.9999546021205518,
                0.9999339478317334,
                0.9999417087414608
            ],
            [
                1.6701427813872793e-05,
                7.484625392611642e-05,
                6.962256249517824e-06,
                4.785093924156175e-06,
                2.1444940739364273e-05,
                8.939693106329072e-06,
                0.00010889688292550859,
                0.9933071503759269,
                1.4738988994980593e-05,
                1.670142383167491e-05
            ],
            [
                0.9991959141522446,
                0.9046505395995927,
                0.9989677691758422,
                0.9998601779094202,
                0.9999417087553242,
                0.999620015424535,
                0.999925153772784,
                0.9998911030648022,
                0.9998415638021905,
                0.9997965730023874
            ],
            [
                2.7535687742009534e-05,
                1.1478765380839446e-05,
                9.610238019419699e-05,
                3.120192248396136e-05,
                9.61024147499638e-05,
                0.992422759439481,
                0.9991959139024189,
                0.9770226311353566,
                1.67014238214675e-05,
                2.7535700909955743e-05
            ],
            [
                5.422218969384951e-06,
                3.288749064802458e-06,
                1.4738981964843453e-05,
                6.962253759043525e-06,
                2.1444940737257882e-05,
                3.535626332702904e-05,
                7.889263525663481e-06,
                1.553497198908852e-06,
                1.7603438427660027e-06,
                1.994729721396435e-06
            ],
            [
                0.9998766053663866,
                0.9999599363078239,
                0.9999485577679615,
                0.99998987000419,
                0.9999038975507166,
                0.99986017787593,
                0.9999417087484042,
                0.9999599362934953,
                0.9999546021421849,
                0.9998415637266933
            ],
            [
                0.9999485577802218,
                0.9999546021205543,
                0.9999687980737538,
                0.9999038975965122,
                0.9999852610145158,
                0.9999756997476837,
                0.9999646437492984,
                0.9998911031297076,
                0.9999921107364743,
                0.9999485577679615
            ],
            [
                0.9998415638209662,
                0.9998204719483437,
                0.999664650010469,
                0.999964643736649,
                0.9999810748427369,
                0.9989677689188291,
                0.9999251537995403,
                0.999796573075402,
                0.9997965730751919,
                0.9998766053663866
            ],
            [
                0.00012339461792512383,
                2.1444958633416914e-05,
                5.144223201604811e-05,
                6.962258737472841e-06,
                5.144219521911119e-05,
                6.144172403827636e-06,
                0.9990889486685883,
                4.222834450589758e-06,
                2.7535700911558485e-05,
                0.9902915215486585
            ],
            [
                6.962253753673913e-06,
                1.3709575332552666e-06,
                4.7850956351657615e-06,
                1.4738987239295859e-05,
                1.3007128457958606e-05,
                3.2887498488809053e-06,
                5.422220906223202e-06,
                1.8925148232956223e-05,
                0.904650541527608,
                2.5612812944118885e-06
            ],
            [
                4.222832940577472e-06,
                1.5534981248133121e-06,
                1.370957370247318e-06,
                2.5612819052374947e-06,
                1.7603427933917854e-06,
                2.561283431888668e-06,
                1.8925145979561802e-05,
                1.4738978449883382e-05,
                1.760344052650207e-06,
                1.7603425837366772e-06
            ],
            [
                0.9999151889695792,
                0.9890130562157307,
                0.9992903294538638,
                0.9999339478476039,
                0.9999756997563736,
                0.9997040428649165,
                0.9964063979954961,
                0.9989677690436742,
                0.9998601778626535,
                0.9999756997534777
            ],
            [
                0.9999724643089085,
                0.999948557798617,
                0.9999938558232009,
                0.9999810748562717,
                0.9997694932854785,
                0.9999417087483723,
                0.9999724642957734,
                0.9999885212277698,
                0.9999921107336528,
                0.9999756997621669
            ],
            [
                7.484624503872184e-05,
                2.7535700939406174e-05,
                0.9995121427691346,
                0.9989677688296368,
                0.9991959139611575,
                1.1478772230407462e-05,
                0.9980732656957588,
                0.998299277184561,
                0.9986749778687009,
                0.9993736658335836
            ],
            [
                4.006369693473136e-05,
                4.006369686681418e-05,
                2.7535681245588654e-05,
                0.0001398220239696496,
                5.14422074125194e-05,
                3.120190392795564e-05,
                8.939696303758459e-06,
                2.4300234922476113e-05,
                0.9982992779473056,
                2.9023133689924295e-06
            ],
            [
                8.315283250260307e-07,
                8.315278293838516e-07,
                1.3709570433885908e-06,
                5.043476486833397e-07,
                1.209865827507999e-06,
                1.209865539274514e-06,
                5.043474683156057e-07,
                1.0677024880858507e-06,
                1.3709576970213355e-06,
                1.7603440523668265e-06
            ],
            [
                0.9999038976081577,
                0.9992903294726457,
                0.9999151889486014,
                0.9997965731003962,
                0.7772998663336157,
                0.731058584489497,
                0.9999151889908001,
                0.9999599362888408,
                0.9999151889586936,
                0.9975273771643871
            ],
            [
                0.9999417087066769,
                0.9999785550515924,
                0.9999646437492984,
                0.9999038975622222,
                0.9999546021205543,
                0.9999724643121858,
                0.999993037740431,
                0.9999910602994336,
                0.9999938558268633,
                0.9999785550490333
            ],
            [
                0.9740426411068075,
                0.9998415637271659,
                0.9999646437453867,
                0.9978172837909606,
                0.9990889488813104,
                0.9999038975506481,
                0.9940889324599094,
                0.9997694932303799,
                1.760342583722268e-06,
                0.9999151889687863
            ],
            [
                0.9999910603004999,
                0.9999417087553126,
                0.9999756997505788,
                0.9999938558239332,
                0.9997965730265026,
                0.9995694429111727,
                0.9999869928668843,
                0.9999599363221447,
                0.9999038975507067,
                0.9999687980849155
            ],
            [
                0.999948557786366,
                0.9998415637454944,
                0.9999869928715369,
                0.9999785550439179,
                0.9999599363030504,
                0.9999038975622012,
                0.9999852610145155,
                0.9999869928715357,
                0.9999724643056221,
                0.9999546021259533
            ],
            [
                1.5534975692866768e-06,
                1.2098653949842147e-06,
                1.5534977544932838e-06,
                4.222833444429485e-06,
                1.0677026154279257e-06,
                5.422219615188307e-06,
                5.715004470025379e-07,
                3.9278610660598936e-07,
                2.9023116387069255e-06,
                8.315278293762888e-07
            ],
            [
                0.9999832985701949,
                0.9999546021259631,
                0.9995694429628151,
                0.9999251537906066,
                0.9999810748585286,
                0.9999852610233005,
                0.9999756997534747,
                0.999948557774109,
                0.9998415638400323,
                0.9999038976079864
            ],
            [
                3.7266379504926854e-06,
                3.53562591107112e-05,
                2.561281599734989e-06,
                0.9990889488061292,
                4.785096205512581e-06,
                3.5356259125502595e-05,
                3.2887494567070593e-06,
                4.222832436164788e-06,
                5.422220907791405e-06,
                9.422448185015797e-07
            ],
            [
                0.9999038975851193,
                0.9998911031297583,
                0.9998766053810263,
                0.9999417087205921,
                0.9999038975736046,
                0.9999898700066067,
                0.9999038975621215,
                0.9999151889889872,
                0.9999546021476033,
                0.9998415638399794
            ],
            [
                0.9999962733598275,
                0.9999869928699856,
                0.9999921107355337,
                0.9999687980923481,
                0.9999921107383551,
                0.9999756997650643,
                0.9999546021151381,
                0.9999930377412608,
                0.9999921107374153,
                0.9999885212305064
            ],
            [
                0.9999339478553472,
                0.9999485577802376,
                0.9998766054546704,
                0.9999546021367807,
                0.9999898700066056,
                0.9999756997650652,
                0.999981074858529,
                0.9997694932854182,
                0.9999785550515878,
                0.9999151889789025
            ],
            [
                0.9999756997563736,
                0.9999898700041906,
                0.999985261021544,
                0.9999546021151483,
                0.9999546021259581,
                0.999992110740236,
                0.9999546021097218,
                0.9999756997621654,
                0.9999869928668849,
                0.9999852610145148
            ],
            [
                0.9999756997621654,
                0.9999756997505774,
                0.9999485577802218,
                0.9999810748562722,
                0.9999810748449939,
                0.9999151889485612,
                0.9999952149043646,
                0.9999038975850683,
                0.9999417087275205,
                0.9999599363126013
            ],
            [
                0.9997694932301049,
                0.9999417087066922,
                0.9999646437492923,
                0.999954602120542,
                0.9999646437408605,
                0.9999869928684356,
                0.999972464315468,
                0.9999810748495044,
                0.9999251537995529,
                0.9999251537995403
            ],
            [
                4.785096204537733e-06,
                1.0129990976728036e-05,
                2.1444958620544503e-05,
                1.4738987226400411e-05,
                5.422219614705025e-06,
                2.1444948364587412e-05,
                1.6701415853489846e-05,
                1.1478772219925941e-05,
                2.902311292831027e-06,
                6.60521522946916e-05
            ],
            [
                0.966914024948248,
                0.3775406687981454,
                1.1478764018305152e-05,
                0.997199073621414,
                0.9997040427949182,
                0.9992903297067799,
                0.9995694430121654,
                0.9993736659771723,
                0.999447221257694,
                0.9996200155173954
            ],
            [
                3.726640616630245e-06,
                4.222835457526079e-06,
                1.1478773597118638e-05,
                6.9622562487453084e-06,
                4.539785772729467e-05,
                3.288750241204353e-06,
                1.3709570433387154e-06,
                2.561283126639892e-06,
                1.4738985482753428e-05,
                1.3709576970387918e-06
            ],
            [
                0.9999038975965026,
                0.9998601779261247,
                0.999993855826863,
                0.9999151889688184,
                0.9996646497309396,
                0.999964643732439,
                0.9999852610233012,
                0.9998415638210192,
                0.9995121427674316,
                0.9999251537906066
            ],
            [
                0.9999646437577226,
                0.9999339478395968,
                0.9999417087344762,
                0.9999869928761874,
                0.9999724642957734,
                0.9995694429617128,
                0.999975699753477,
                0.9998601779260005,
                0.999664650010469,
                0.9996200155617695
            ],
            [
                0.9997694932301049,
                0.9968273169984623,
                0.9999339478395871,
                0.99539042721383,
                0.9996646499313715,
                0.9999038975621306,
                0.9998204719485422,
                0.999820472055577,
                0.9991959142463385,
                0.9998911030648404
            ],
            [
                0.9997965730994314,
                0.9997694933397523,
                0.9998766053811754,
                0.9999417087414438,
                0.9997965730758843,
                0.9968273170220256,
                0.9968273177303982,
                0.99994855779862,
                0.9998415638400048,
                0.9996646500103618
            ],
            [
                0.9975273774015643,
                0.9991959139522719,
                0.9994472213209492,
                0.9980732656469553,
                0.999954602142192,
                0.9999417087483723,
                0.9996200154244688,
                0.9992903294503964,
                0.9999599363078219,
                0.9998415638209155
            ],
            [
                1.8925143723000643e-05,
                8.93969310584124e-06,
                3.726638395320497e-06,
                7.889264466115267e-06,
                1.5534973840984598e-06,
                7.484622706027895e-05,
                8.939696296213323e-06,
                1.3709567163940317e-06,
                3.12019075723676e-05,
                4.5397857734561226e-05
            ],
            [
                0.9996200155605424,
                0.999959936298279,
                0.9999785550541442,
                0.9999852610215436,
                0.9999724643056241,
                0.9999546021313795,
                0.9999810748449944,
                0.9999930377462403,
                0.999948557761846,
                0.9998911030907721
            ],
            [
                0.9999546021259557,
                0.9998204720124919,
                0.9996200154242477,
                0.9999646437577226,
                0.999964643736646,
                0.9999930377454107,
                0.9998766054692311,
                0.9996200155165885,
                0.9999869928699852,
                0.9999151889485612
            ],
            [
                0.9999599363078239,
                0.9999980052695652,
                0.9999957771675624,
                0.999995777168066,
                0.9999869928761882,
                0.9999987901347491,
                0.999996273360716,
                0.9999869928746395,
                0.9999910603068937,
                0.9999885212359804
            ],
            [
                1.473898372822193e-05,
                1.3007133114011233e-05,
                1.300713311155064e-05,
                4.785096205434246e-06,
                6.14417679836736e-06,
                8.939695237813028e-06,
                2.1444953514565465e-05,
                1.994729721323867e-06,
                5.422221554581283e-06,
                1.6701419845680582e-05
            ],
            [
                0.9999724643154754,
                0.9999599362887198,
                0.9999810748427379,
                0.9999785550413666,
                0.9997965730270532,
                0.9999599363221565,
                0.9999546021313646,
                0.9999151889890187,
                0.9999687980849155,
                0.9998204720557494
            ],
            [
                1.30071253611406e-05,
                4.785095635296322e-06,
                1.147877086073156e-05,
                0.9964063969667177,
                3.535623804623613e-05,
                1.4738985485166298e-05,
                2.4300237829827827e-05,
                7.889260703763482e-06,
                2.4300234920177672e-05,
                2.1444956081636468e-05
            ],
            [
                1.553498495295912e-06,
                3.7266397282926013e-06,
                2.9023109471188266e-06,
                1.760344052632596e-06,
                1.3709578604831862e-06,
                8.315277302165032e-07,
                1.370957533676711e-06,
                2.2603242978213447e-06,
                6.47594798194325e-07,
                1.9947301969217434e-06
            ],
            [
                0.9999756997621677,
                0.9998766053811413,
                0.9999687980960696,
                0.9999921107383551,
                0.999981074858529,
                0.9999930377454107,
                0.9999957771680656,
                0.9999810748540172,
                0.999978555043919,
                0.9999885212277698
            ],
            [
                0.9999810748472489,
                0.9999885212359798,
                0.9999485577679806,
                0.9999785550592574,
                0.9999756997476854,
                0.9999885212264015,
                0.9999832985821384,
                0.9999038975736549,
                0.9999546021422125,
                0.999964643732451
            ],
            [
                0.9999687980923492,
                0.999975699759268,
                0.9999921107374145,
                0.9996646497705518,
                0.999972464315471,
                0.9999945777784447,
                0.9999898700078133,
                0.9999832985741745,
                0.999954602147594,
                0.9999417087275482
            ],
            [
                0.9465966749081429,
                0.9998766053665553,
                0.9947798733367749,
                0.9995694428669076,
                0.9998601779096359,
                0.9990889486969335,
                0.9990889489103444,
                0.9998911031297709,
                0.9998204720773193,
                0.9997388097852323
            ],
            [
                0.9999151889283684,
                0.9999810748427396,
                0.9999599363125955,
                0.9997694932028004,
                0.9997040427602764,
                0.9999885212305063,
                0.9999038975621907,
                0.9997040429723724,
                0.9995694430145703,
                0.9999646437577213
            ],
            [
                6.144176064856046e-06,
                1.892515272680245e-05,
                4.222832940834793e-06,
                1.7603438427467903e-06,
                1.4738978446451746e-05,
                8.939694169330997e-06,
                2.430024069518912e-05,
                2.260325105870372e-06,
                4.0063701635592195e-05,
                1.994729483666479e-06
            ],
            [
                3.535625913039018e-05,
                8.315281267706361e-07,
                4.222831933480445e-06,
                9.422442568951678e-07,
                5.422217029272909e-06,
                2.9023123308072772e-06,
                2.902313368897403e-06,
                1.7603434231241496e-06,
                4.785096775998733e-06,
                1.3709572068079696e-06
            ],
            [
                0.9994472214749547,
                0.9994472213215281,
                0.9997040429390825,
                0.9996646497309396,
                0.9997694931758981,
                0.9997388096301462,
                0.46879062662624377,
                0.8354835391516133,
                0.9986749774430648,
                0.9997040427675268
            ],
            [
                0.999738809660978,
                0.9999756997505803,
                0.9999151889789185,
                0.9999869928684354,
                0.9999938558246657,
                0.9999485577618361,
                0.9999885212332442,
                0.9999921107336528,
                0.9999646437619403,
                0.9999687980737538
            ],
            [
                0.9997965730753606,
                3.12019076269651e-05,
                1.3007126908733257e-05,
                2.7535697639856078e-05,
                2.1444943292703185e-05,
                1.9947301968673173e-06,
                6.144177528235347e-06,
                3.5356238010608196e-05,
                1.5534975693036317e-06,
                1.0129987354366822e-05
            ],
            [
                0.9999485577925007,
                0.999738809628649,
                0.9999038975506866,
                0.999959936298269,
                0.9999485577679709,
                0.9999485577924884,
                0.9999832985841305,
                0.999991060300499,
                0.9999599363078162,
                0.9999038975392132
            ],
            [
                0.9997388096913081,
                0.9998415638398986,
                0.9998601779260209,
                0.9989677691842451,
                0.9996200155156378,
                0.9997965729300062,
                0.999447221454695,
                0.9998766053663866,
                0.9999038975850886,
                0.9996646499308055
            ],
            [
                8.939694171331106e-06,
                1.2098656834481918e-06,
                4.222834954057889e-06,
                7.338209805090567e-07,
                1.0677028700130727e-06,
                2.561281905058126e-06,
                1.209865827740176e-06,
                1.994729483608425e-06,
                1.7603425837062577e-06,
                1.2098655391782321e-06
            ],
            [
                2.260323489410794e-06,
                5.043474081867732e-07,
                1.4738976695942536e-05,
                1.3709573702566696e-06,
                4.222834954403545e-06,
                1.9947304346535984e-06,
                1.760344052650207e-06,
                5.043476486833397e-07,
                1.0677032518578904e-06,
                1.5534971989696065e-06
            ],
            [
                5.04347348070562e-07,
                1.0677032518578904e-06,
                1.553498310118888e-06,
                6.14417753110761e-06,
                3.7266410609160796e-06,
                2.902311639073834e-06,
                6.47594952595231e-07,
                1.7603427935518875e-06,
                6.475948753794598e-07,
                5.71500515151976e-07
            ],
            [
                0.9999151889485933,
                0.9998766053664871,
                0.9999339478632105,
                0.999948557798623,
                0.9999724643056241,
                0.9998415638023519,
                0.9999339478789859,
                0.9999417087066769,
                0.9999417087344801,
                0.9999546021313577
            ],
            [
                7.88926634383339e-06,
                2.561282515914161e-06,
                1.6701419850845044e-05,
                4.785094494463623e-06,
                1.0129994601301684e-05,
                1.5534973840984598e-06,
                2.9023112929973233e-06,
                4.222832940715735e-06,
                4.539787935388468e-05,
                4.785093923420688e-06
            ],
            [
                1.067702488159652e-06,
                7.338208055489796e-07,
                3.9278615342936924e-07,
                1.994729008056074e-06,
                1.2098659719122375e-06,
                7.338209805040511e-07,
                1.5534977545384963e-06,
                2.9023109467598367e-06,
                5.04347287945184e-07,
                3.0590226339061185e-07
            ],
            [
                2.1444953513707305e-05,
                1.2098661161239298e-06,
                1.9947306725215466e-06,
                1.2098656834481918e-06,
                3.7266392828579377e-06,
                2.561282515406337e-06,
                1.0129993393540266e-05,
                0.998674977548434,
                6.9622537587775775e-06,
                1.0677024881004167e-06
            ],
            [
                0.999903897596522,
                0.9997965730272278,
                0.9998911030908227,
                0.9999151889587096,
                0.9971990733495825,
                0.999941708706802,
                0.7549149813536518,
                0.9997388096832602,
                0.9995121427682832,
                0.9998601779759897
            ],
            [
                0.999447221388417,
                0.9995694429615251,
                0.9999646437536178,
                0.999796573002639,
                0.9984988177088868,
                0.9993736657479986,
                0.9796676480301127,
                0.999820471948409,
                0.9998766053663525,
                0.9994472212555717
            ],
            [
                2.2603234890695403e-06,
                1.370957043323753e-06,
                0.9996646499708667,
                1.5534984952111384e-06,
                8.315283250082584e-07,
                2.2603251060985603e-06,
                9.422445938642879e-07,
                2.9023126766305067e-06,
                9.422448185015797e-07,
                1.2098662604126641e-06
            ],
            [
                2.4300252308334918e-05,
                1.1478769492141554e-05,
                5.829125150043951e-05,
                2.1444953521586782e-05,
                2.5612831262578596e-06,
                8.315284240985381e-07,
                6.96225541788636e-06,
                1.7603438425882895e-06,
                8.939699499432793e-06,
                5.422217030032353e-06
            ],
            [
                0.9999962733593832,
                0.9999724643187485,
                0.9996646497706592,
                0.9999546021097243,
                0.9998601779425625,
                0.9997965730024703,
                0.999769493258013,
                0.9999038975507166,
                0.999954602142192,
                0.9999599362934916
            ],
            [
                0.9999898700090208,
                0.9998766054398187,
                0.9999832985701924,
                0.9999687980960721,
                0.99998329858413,
                0.9999910603015649,
                0.9999151889283443,
                0.9999599363221447,
                0.9999832985801492,
                0.9999687980997866
            ],
            [
                0.9999485577679644,
                0.9999599363078321,
                0.9999646437619537,
                0.9998911030519141,
                0.9998415637643508,
                0.9999952149055054,
                0.9999885212332431,
                0.9999038975621907,
                0.9999687980737564,
                0.9999756997476854
            ],
            [
                0.9999785550592568,
                0.9999938558275957,
                0.9999869928684358,
                0.9999921107402359,
                0.9999599363030427,
                0.9999945777823231,
                0.9999832985741738,
                0.9999910603026306,
                0.999992110736474,
                0.9999898700078128
            ],
            [
                8.315280275794301e-07,
                1.3007131562845248e-05,
                3.2887502412970765e-06,
                6.96225375863827e-06,
                1.0677032518413822e-06,
                6.962257909412379e-06,
                2.902311293034278e-06,
                1.2098662603499435e-06,
                2.9023123308072772e-06,
                1.3007128463352975e-05
            ],
            [
                0.9998911031167418,
                0.999992110738357,
                0.9999724642957734,
                0.9997965729539469,
                0.9999785550464758,
                0.9999038976194108,
                0.9999417087414357,
                0.999995214904935,
                0.9999339478710932,
                0.9999852610110026
            ],
            [
                1.30071253611406e-05,
                4.539785779797843e-05,
                8.48110814948248e-05,
                2.1444956074147067e-05,
                4.785096205651846e-06,
                6.144173869072478e-06,
                2.561283125931734e-06,
                4.785095634756674e-06,
                3.120192621089609e-05,
                3.120192623257619e-05
            ],
            [
                0.9999869928653345,
                0.9999599363173711,
                0.999978555056703,
                0.9999687980886309,
                0.9999921107336526,
                0.9999970976887069,
                0.9997040429723724,
                0.9999546021097268,
                0.9999974387168733,
                0.9999599362887179
            ],
            [
                0.9999945777797377,
                0.9997965730514673,
                0.9999885212264015,
                0.9999785550515884,
                0.9999599363221628,
                0.9999810748562764,
                0.9999910603015654,
                0.9999930377429204,
                0.999841563802036,
                0.9999687980923492
            ],
            [
                0.9975273767285094,
                0.9997040428307052,
                0.9999251537461092,
                0.9999339478317237,
                0.9997694932298903,
                0.9998766054105196,
                0.9999038975735949,
                0.9990889487644324,
                0.9990889488748466,
                0.9999599362982653
            ],
            [
                1.012998977108606e-05,
                2.902312330759764e-06,
                1.5534979396448094e-06,
                6.475948753741589e-07,
                7.338213304083124e-07,
                4.5397852330227426e-05,
                1.99472900796355e-06,
                6.144177531007026e-06,
                2.5612819052654485e-06,
                1.5534971985217185e-06
            ],
            [
                3.53562591237019e-05,
                4.2228344508893285e-06,
                0.9980732656487463,
                5.144221359250013e-05,
                0.9991959142482559,
                0.9986749775348778,
                7.88926540454376e-06,
                3.726639282112282e-06,
                6.962254588116627e-06,
                1.4738988993532872e-05
            ],
            [
                0.9999599363125974,
                0.999968798081195,
                0.9999417087275244,
                0.9997965730994314,
                0.9999151889889952,
                0.9999339478396017,
                0.9998601779260412,
                0.9999785550541467,
                0.9998204719484429,
                0.9997694933399669
            ],
            [
                0.9999485577741026,
                0.9997040428657001,
                0.9997965730753162,
                0.9996646497313981,
                0.9997388096604688,
                0.9996646497706592,
                0.9999724643023399,
                0.9999546021259487,
                0.9999599362887198,
                0.9999417087066922
            ],
            [
                0.9999724643187494,
                0.9999910603036969,
                0.9999724643089118,
                0.999915188968851,
                0.999998005269803,
                0.999876605381109,
                0.9999810748517602,
                0.9999885212359798,
                0.9999785550464758,
                0.999996273360716
            ],
            [
                1.0677029972833341e-06,
                5.043472278227948e-07,
                1.1478770861211786e-05,
                1.0129992186589747e-05,
                1.3709578605355551e-06,
                9.422442568428928e-07,
                6.47594798194325e-07,
                6.9622562492265485e-06,
                3.120190016072813e-05,
                6.144175334015912e-06
            ],
            [
                0.9999962733598278,
                0.9999785550464753,
                0.9999646437535082,
                0.9999038976080584,
                0.9996646498119885,
                0.9999724643187576,
                0.9999599363221524,
                0.9999898700066056,
                0.9999869928653341,
                0.9999485577740902
            ],
            [
                0.9999785550541467,
                0.9999038975507789,
                0.9999646437408728,
                0.9999724642990576,
                0.9992903297125176,
                0.999860177893019,
                0.9999339478632563,
                0.9998601779261043,
                0.9999151889284437,
                0.9998204719489235
            ],
            [
                0.9998766054546381,
                0.9999417087275321,
                0.9997388096908217,
                0.9998415638399263,
                0.9999810748562741,
                0.9995121428232897,
                0.9999885212291382,
                0.999860177942705,
                0.9998601779093998,
                0.9998601778927362
            ],
            [
                1.3007123806450271e-05,
                6.962256248871951e-06,
                6.962258737979408e-06,
                7.889260703462123e-06,
                7.889259762494174e-06,
                6.962255416759247e-06,
                1.4738981960339432e-05,
                2.260323489266892e-06,
                8.939697368500698e-06,
                6.962254588724508e-06
            ],
            [
                1.2098658277181688e-06,
                6.475946437781423e-07,
                1.3709576970537545e-06,
                1.012999460150437e-05,
                1.5534981248133121e-06,
                1.7603438427243761e-06,
                7.889263525778283e-06,
                1.0677032518093368e-06,
                1.5534973840377051e-06,
                2.561283431669698e-06
            ],
            [
                0.9999485577863824,
                0.9999852610197869,
                0.9999724643121868,
                0.9999810748449939,
                0.9999038976080269,
                0.99992515374599,
                0.9999646437324344,
                0.9999898700041902,
                0.9999038975965026,
                0.99992515377279
            ],
            [
                0.999704042901048,
                0.9994472213209492,
                0.9997040429355176,
                0.9998204720125573,
                0.9994472212539315,
                0.9999485578047547,
                0.9999251537548932,
                0.9995121429396039,
                0.9998415638022159,
                0.9998911031297076
            ],
            [
                0.5926665999540698,
                0.9997040427951766,
                0.7310585727705126,
                0.9902915232051379,
                0.999088948999142,
                0.999820472098231,
                0.7057850154599562,
                0.9982992779925682,
                0.9995121427655299,
                0.9998415637833893
            ],
            [
                0.9996200154696498,
                0.9399133489844308,
                0.9999038976194506,
                0.9999038975735753,
                0.999796573075106,
                0.99956944286072,
                0.999981074842739,
                0.999975699765066,
                0.9999646437408619,
                0.999915188968843
            ],
            [
                0.9999885212291431,
                0.9999687980960696,
                0.999972464312183,
                2.5612825159677387e-06,
                0.9999785550464753,
                0.9999646437450808,
                0.9947798754913209,
                0.9999151889182282,
                0.9999417087414166,
                1.5534981249496567e-06
            ],
            [
                0.9998204719913294,
                0.9999810748472494,
                0.9999251537638503,
                0.9999898700126433,
                0.9998204720127558,
                0.9999546021205351,
                0.9999251537370873,
                0.9999417087275321,
                0.9999785550567005,
                0.9999339478553472
            ],
            [
                0.9999687980923492,
                0.9999417087414357,
                0.9999832985741766,
                0.9999832985741752,
                0.9998766054251933,
                0.9999724642990537,
                0.9999687980923528,
                0.9999251537727715,
                0.9999599362982671,
                0.9999756997505795
            ],
            [
                0.9999810748517612,
                0.9999151889890266,
                0.9999251537549613,
                0.9999251537460335,
                0.999964643732436,
                0.9999785550541467,
                0.999948557798623,
                0.9999417087553318,
                0.9999869928668845,
                0.9999417087553318
            ],
            [
                0.9999869928761901,
                0.9999724642990546,
                0.9999785550490341,
                0.999876605410471,
                0.9999810748562722,
                0.9999810748427375,
                0.9999832985761665,
                0.9999546021476081,
                0.9999898700126433,
                0.9999869928746369
            ],
            [
                0.9999646437492984,
                0.9999957771665555,
                0.9999339478632615,
                0.9999646437619387,
                0.9999339478789513,
                0.9999921107392954,
                0.9999810748495044,
                0.9999945777797375,
                0.9999785550592568,
                0.9999485577679555
            ],
            [
                0.9999599363030446,
                0.9999038975506579,
                0.9998911031297456,
                0.9999546021421969,
                0.9999417087553318,
                0.9998766054104387,
                0.9999852610197864,
                0.9999546021313743,
                0.9999756997650636,
                0.9999485578047457
            ],
            [
                0.9796676489947629,
                6.962255418924822e-06,
                0.9986749774116389,
                0.0002611902129665828,
                0.9914225161544251,
                2.7535694379773952e-05,
                0.9968273176368813,
                0.9995694428610081,
                2.7535700932494338e-05,
                1.4738983723664288e-05
            ],
            [
                0.9999485578047577,
                0.9999756997563761,
                0.9999599363173656,
                0.9999546021476057,
                0.9999869928684356,
                0.9999810748495044,
                0.9999785550567005,
                0.9998601779260005,
                0.999978555046477,
                0.9999852610180298
            ],
            [
                0.9999038976194206,
                0.9997965729302667,
                0.9241418236349501,
                0.9999485577986563,
                0.9998601779763111,
                0.999373665975387,
                0.9998601779259395,
                0.9999417087205764,
                0.9998911030388706,
                0.5
            ],
            [
                6.962257079173776e-06,
                5.422217676486429e-06,
                1.3709575336405514e-06,
                1.994730434778778e-06,
                1.2098655392574583e-06,
                6.475946437966953e-07,
                6.144172404380855e-06,
                3.288750241374845e-06,
                1.994729721469003e-06,
                4.222834954514924e-06
            ],
            [
                6.962254587951994e-06,
                5.422217030288788e-06,
                2.902313022952668e-06,
                2.260324028331257e-06,
                1.760343213227212e-06,
                2.5612822103812995e-06,
                6.144172403715875e-06,
                3.726638395320497e-06,
                1.7603440526133836e-06,
                4.222834451169694e-06
            ],
            [
                0.9999938558275957,
                0.9999687980849118,
                0.9999938558268633,
                0.9999910603047626,
                0.9999687980886335,
                0.9999832985841293,
                0.9998911031037506,
                0.999978555041362,
                0.9999756997679602,
                0.999941708706696
            ],
            [
                6.475950297821511e-07,
                1.0129990977759901e-05,
                7.889266342513156e-06,
                2.7535681238877168e-05,
                5.42221961567159e-06,
                7.889264464106214e-06,
                4.539786319570692e-05,
                2.260325375520937e-06,
                1.4738987240100149e-05,
                2.5612819051722694e-06
            ],
            [
                6.475947209567798e-07,
                9.422445938111562e-07,
                6.475950297821511e-07,
                1.3709578604495207e-06,
                6.475947981754775e-07,
                2.699578418065521e-07,
                3.4663278639044955e-07,
                6.475948753847607e-07,
                5.043475885576967e-07,
                6.47594643784032e-07
            ],
            [
                2.5612819051373276e-06,
                1.553498495091042e-06,
                1.760343212990261e-06,
                1.7603440524340693e-06,
                4.222833443891798e-06,
                2.9023130226068764e-06,
                1.3007130008887624e-05,
                3.288748673035494e-06,
                2.5612812943280275e-06,
                1.2098652507285942e-06
            ]
        ]
    },
    {
        "q_id": "10517_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            43
        ],
        "rewards": [
            [
                2.4300243612265703e-05,
                2.753570420970657e-05,
                7.484620911178992e-05,
                3.1201900111238496e-05,
                1.8925141462377723e-05,
                4.0063711026821865e-05,
                1.892515274194901e-05,
                5.422218322565793e-06,
                1.6701421821665273e-05,
                4.5397879378987325e-05
            ],
            [
                0.999985261023306,
                0.9999967112513275,
                0.9999997617630616,
                0.9999945777797379,
                0.9999957771665557,
                0.9999945777790915,
                0.9999984465015047,
                0.9999921107392965,
                0.9999967112501508,
                0.9999980052702786
            ],
            [
                0.22270014398423357,
                0.5926665999540698,
                0.9999151889590218,
                0.9998601778751773,
                0.9999921107383603,
                0.9999687980961591,
                0.8519528038477824,
                0.9988304896262886,
                0.9998911030802923,
                0.9999724643089097
            ],
            [
                1.30071253611406e-05,
                1.7603436328770204e-06,
                2.9023133687311063e-06,
                5.1442225540015856e-05,
                2.9023116384112864e-06,
                8.481102978406639e-05,
                1.3007125355060104e-05,
                3.7266388392671313e-06,
                7.889264465397747e-06,
                7.889264464895484e-06
            ],
            [
                0.9998766054548786,
                1.8925143681967253e-05,
                0.00012339463309092303,
                NaN,
                NaN,
                2.561282821176841e-06,
                1.473898548194914e-05,
                0.5312093733737563,
                1.012999096259517e-05,
                1.0129989768616954e-05
            ],
            [
                NaN,
                0.00013982202249878292,
                1.1478770852150074e-05,
                1.6701427805275476e-05,
                2.1444956062288846e-05,
                4.785094494463623e-06,
                0.9999986290427932,
                3.120190392795564e-05,
                5.829125124682775e-05,
                1.8925152688660654e-05
            ],
            [
                9.422444814458256e-07,
                4.4508521109406705e-07,
                1.553497198801472e-06,
                1.7603438428188364e-06,
                5.043474081785165e-07,
                1.5534973841154145e-06,
                6.475947981813674e-07,
                3.9278638755671223e-07,
                9.422444815220956e-07,
                1.3709575336654889e-06
            ],
            [
                0.999998932297512,
                0.9999992661791071,
                0.999999352404893,
                0.9999852610110059,
                0.9999992661791944,
                0.9999970976869785,
                0.9999989322967482,
                0.9999938558224694,
                0.9999980052709921,
                0.9999996072137998
            ],
            [
                0.9999995549150011,
                0.9999993524052789,
                0.9999967112509348,
                0.999991060305828,
                0.9995121428231761,
                0.9999996072137061,
                0.9999993524054334,
                0.9999990577551816,
                0.999999814460854,
                0.9999992661791944
            ],
            [
                0.9933071476269074,
                0.9998415637645629,
                0.9995694429118115,
                0.9996200155671311,
                0.9997694932587575,
                0.9975273772516775,
                0.1480471923932738,
                0.9997040429028735,
                0.9999251537908049,
                0.9995694429682763
            ],
            [
                1.994729721396435e-06,
                5.043472278299047e-07,
                6.9622570777680525e-06,
                1.4738988997044936e-05,
                6.962258738701267e-06,
                1.7603430034311638e-06,
                4.222832939064264e-06,
                2.9023123306594577e-06,
                1.8925157176173924e-05,
                5.71500515151976e-07
            ],
            [
                0.9999994956523514,
                0.9999994956525918,
                0.9999996940978825,
                0.9999996072136593,
                0.999999694097846,
                0.9999986290431201,
                0.999999694097846,
                0.9999998555019618,
                0.9999993524049703,
                0.9999997617630616
            ],
            [
                0.999999057755743,
                0.999999814460876,
                0.9999986290424664,
                0.99999893229713,
                0.99999976176309,
                0.9999994284994849,
                0.9999994956525318,
                0.9999995549149482,
                0.999998005270517,
                0.9999974387177893
            ],
            [
                6.9622537576631295e-06,
                6.962259568889411e-06,
                8.939696302831578e-06,
                6.962258737650141e-06,
                1.0677029972745947e-06,
                5.422217030288788e-06,
                1.892515499637696e-05,
                2.902311984915459e-06,
                1.9947297208158934e-06,
                1.9947306726049992e-06
            ],
            [
                0.999999653367379,
                0.9999974387177896,
                0.9999986290426298,
                0.9999962733602724,
                0.9999989322973845,
                0.9999991684717742,
                0.9999977396759717,
                0.999998239656577,
                0.9999991684720716,
                0.9999997617631469
            ],
            [
                0.9999992661786696,
                0.9999993524054335,
                0.9999990577556309,
                0.9999991684715759,
                0.9999993524053562,
                0.9999992661790195,
                0.9999984465016922,
                0.9999994284994168,
                0.9999974387168761,
                0.9999995549150542
            ],
            [
                NaN,
                4.22283444919945e-06,
                2.430024069660355e-05,
                2.9023109467598367e-06,
                6.605215221203511e-05,
                5.144223786629791e-05,
                1.1478773595657069e-05,
                NaN,
                1.0129994597855991e-05,
                1.0129993391531815e-05
            ],
            [
                1.1478772222347966e-05,
                3.1201918750443584e-05,
                1.6701419849447602e-05,
                7.889259762106714e-06,
                1.0129987353832463e-05,
                5.144221334697763e-05,
                5.829129317633263e-05,
                7.338213304243302e-07,
                1.2098653950480359e-06,
                2.4300252245746546e-05
            ],
            [
                0.8519528076067262,
                0.999569442966723,
                0.9998204720170552,
                0.9999832985721927,
                0.9999832985849904,
                0.9998766053974687,
                0.9999151889894117,
                0.9997388096292799,
                0.9998766054129576,
                0.9999599363223587
            ],
            [
                0.9999921107374198,
                0.999997438717796,
                0.9999984465022461,
                0.9999930377404531,
                0.9999994956526519,
                0.9999986290423029,
                0.9999945777803955,
                0.9998766054284736,
                0.9999984465028011,
                0.9999952149055127
            ],
            [
                0.9999977396765106,
                0.9999989322967482,
                0.9999996533672136,
                0.9999997300422547,
                0.9999994284994848,
                0.9999992661791071,
                0.9999997617631469,
                0.9999991684717742,
                0.9999997300422869,
                0.9999991684715759
            ],
            [
                1.8925154985774363e-05,
                1.1478772227338172e-05,
                1.012998977022003e-05,
                1.670142382493073e-05,
                1.6701415856588526e-05,
                NaN,
                1.8925143722381014e-05,
                NaN,
                2.4300234907624647e-05,
                3.535625476500139e-05
            ],
            [
                1.0677029972993568e-06,
                2.2603248360409897e-06,
                8.315277302059155e-07,
                1.300713000155317e-05,
                1.7603427934206038e-06,
                5.422217675756574e-06,
                NaN,
                3.726641060658489e-06,
                1.4738985481091229e-05,
                1.7603440522579571e-06
            ],
            [
                5.144220125911273e-05,
                0.03308597517092889,
                6.605216805420816e-05,
                3.5356246419315886e-05,
                4.5397884745670375e-05,
                1.1478769491598686e-05,
                3.535625906762324e-05,
                1.892515274546026e-05,
                3.5356259098234985e-05,
                5.144222586301276e-05
            ],
            [
                0.9999921107364914,
                0.9999994284992806,
                0.999998790134605,
                0.9999996533674202,
                0.9999995549150542,
                0.9999992661789323,
                0.9999996072136593,
                0.9999989322970029,
                0.999998932297512,
                0.9999987901337397
            ],
            [
                0.9999997897566089,
                0.9999989322967487,
                0.9999994956527722,
                0.9999832985782724,
                0.9999998555019618,
                0.9999997897566589,
                0.9999996533674615,
                0.9999992661791944,
                0.999999352404893,
                0.9999997300422225
            ],
            [
                NaN,
                5.4222209070122355e-06,
                NaN,
                4.539788472519189e-05,
                2.2603237580929087e-06,
                4.222832940577472e-06,
                1.4738985477605971e-05,
                1.1478770859917257e-05,
                4.539788986264867e-05,
                2.1444940733201126e-05
            ],
            [
                3.120191130770016e-05,
                3.12019112659291e-05,
                4.0063711205213854e-05,
                6.144173135896795e-06,
                8.481108144299433e-05,
                2.753568779580163e-05,
                5.144221356106128e-05,
                2.753569104967234e-05,
                1.147876401460948e-05,
                5.829129326115268e-05
            ],
            [
                0.9999994284996893,
                0.9999994956525317,
                0.999999789756634,
                0.9999997300421581,
                0.9999996533674617,
                0.9999993524049703,
                0.9999993524053562,
                0.9999994284996211,
                0.9999995549148419,
                0.999999814460854
            ],
            [
                0.9999251537461697,
                0.9999869928668931,
                0.9999869928746475,
                0.9999869928715408,
                0.9999945777803844,
                0.9999970976873248,
                0.9999987901338838,
                0.9999994956525318,
                0.9997388097542561,
                0.999993855824672
            ],
            [
                0.9999997897566089,
                0.9999990577557432,
                0.9999996072136125,
                0.9999998362622943,
                0.9999994284994167,
                0.9999996072137529,
                0.9999992661791945,
                0.999999653367255,
                0.9999991684718732,
                0.9999997300422225
            ],
            [
                0.9999038975521808,
                0.999998446502616,
                0.9999986290421397,
                0.9999989322972572,
                0.9999994284993486,
                0.9999996533674202,
                0.9999970976883642,
                0.9999980052705166,
                0.999999495652652,
                0.9999993524054339
            ],
            [
                0.9991959141756747,
                0.16451645470385742,
                0.99829927797557,
                0.16451646699291614,
                0.16451646494473962,
                0.43782349911420193,
                0.9998601778597382,
                0.9993736659757878,
                0.5,
                0.9998601778765872
            ],
            [
                0.9940889313462413,
                0.9997040428684729,
                0.9999599363223949,
                0.11920291107043361,
                0.9998766054240138,
                0.9999832985801853,
                0.3775406617944891,
                0.999959936312614,
                0.9994472214329883,
                0.9999852610180362
            ],
            [
                2.1444943278894603e-05,
                1.473898371722997e-05,
                2.4300252279869583e-05,
                3.120191874590325e-05,
                3.535625489632318e-05,
                2.4300240687586585e-05,
                1.892514595271109e-05,
                2.144495607492721e-05,
                4.539785763051739e-05,
                1.012998976633211e-05
            ],
            [
                0.9999994956527121,
                0.9999984465016899,
                0.9999997300422225,
                0.9999992661787572,
                0.999999814460854,
                0.9999977396762413,
                0.9999987901341723,
                0.999999554914789,
                0.9999996940977002,
                0.9999987901346051
            ],
            [
                0.9999991684719723,
                0.999999495652652,
                0.9999991684717741,
                0.9999998144609645,
                0.9999997300421903,
                0.9999996072136125,
                0.9999996072137529,
                0.9999984465028011,
                0.9999994956527121,
                0.9999996940978095
            ],
            [
                0.9999970976883611,
                0.9999724643089656,
                0.999993037745414,
                0.9999852610145504,
                0.9997694932461347,
                0.9998766054547386,
                0.9992903295542955,
                0.9998601779266475,
                3.120190392795564e-05,
                0.9964063971476294
            ],
            [
                0.9999980052707546,
                0.9999898700041912,
                0.9999994956523514,
                0.9999987901344607,
                0.9999989322967483,
                0.9999994956523516,
                0.999999266179282,
                0.9999986290424664,
                0.9999957771675635,
                0.9999992661788445
            ],
            [
                4.0063711186267e-05,
                1.0129994599624903e-05,
                0.00012339460345594413,
                1.3007134662432895e-05,
                1.012999218340202e-05,
                2.753568121974442e-05,
                8.939696299530582e-06,
                3.535626327403727e-05,
                1.3007128460797749e-05,
                2.4300240700846825e-05
            ],
            [
                0.999999653367379,
                0.9999990577554062,
                0.9999986290427931,
                0.9999977396765105,
                0.9999991684719723,
                0.999999554914895,
                0.9999986290432835,
                0.9999989322968754,
                0.9999987901338839,
                0.9999992661790195
            ],
            [
                0.9999970976887101,
                0.9999869928699935,
                0.9999994284996211,
                0.9999962733589433,
                0.9999990577554062,
                0.9999995549150542,
                0.999999495652652,
                0.9999952149072177,
                0.9999996533672136,
                0.9999997300420939
            ],
            [
                0.9999990577557432,
                0.9999984465018752,
                0.9999991684722698,
                0.9999994956524115,
                0.9999967112513307,
                0.9999990577556308,
                0.9999997300421581,
                0.9999993524050474,
                0.9999990577555186,
                0.999999266179107
            ],
            [
                6.962259565039499e-06,
                1.0129992186387057e-05,
                5.715004470272272e-07,
                5.71500651413193e-07,
                8.31528325021115e-07,
                1.0677032518578904e-06,
                1.6701427811898146e-05,
                6.144176795841557e-06,
                1.6701421832054962e-05,
                8.93969310367852e-06
            ],
            [
                NaN,
                0.9770226279155795,
                0.9999810748449955,
                0.9999984465022455,
                0.14804720367010532,
                0.9999977396746245,
                0.99999893229713,
                0.9999984465026158,
                0.999992110737415,
                0.9999957771660523
            ],
            [
                0.9999990577549569,
                0.9999997617631183,
                0.999999789756634,
                0.9999995549148419,
                0.9999997300422869,
                0.9999990577550691,
                0.9999996072138466,
                0.99999823965595,
                NaN,
                0.9999998144608097
            ],
            [
                0.4687906266262437,
                0.9999339478251199,
                0.9999485577986746,
                0.6791787056691698,
                0.9992903295558228,
                0.40733340004593027,
                0.9988304896419276,
                0.32082130731838393,
                0.9995121428438392,
                0.9998601778643421
            ],
            [
                4.006369191672991e-05,
                0.9996646499930338,
                2.1444956065331412e-05,
                1.3007123807302014e-05,
                0.9924227586691088,
                2.561282210460501e-06,
                3.5356246476937965e-05,
                4.006368729632147e-05,
                2.2603245672497918e-06,
                8.48110399243236e-05
            ],
            [
                0.9999339478248124,
                0.9999251537906992,
                0.7057850278370112,
                0.9999251537555195,
                0.5,
                0.9999756997705629,
                0.9999251537560934,
                0.9999038975509963,
                0.9999251537550904,
                0.9997040429035365
            ],
            [
                0.9999992661786701,
                0.999999428499553,
                0.9999998362623137,
                0.9999994956524115,
                0.9999994956524716,
                0.9999339478720554,
                0.9999992661791071,
                0.9999997617631184,
                0.999999653367255,
                0.9999996072137998
            ],
            [
                0.999860177892907,
                0.9999339478319895,
                0.9999251537906715,
                0.07585818367743737,
                0.9999599362936614,
                0.9999485577987147,
                0.9996646498161449,
                0.9999151889628918,
                0.9997965729549146,
                0.9999724643023661
            ],
            [
                3.05902226923399e-07,
                8.939697367037201e-06,
                1.012998734896796e-05,
                3.288750241042834e-06,
                2.753569745023138e-05,
                1.0677029972993568e-06,
                2.430024934122196e-05,
                1.0677032517209695e-06,
                5.1442211149251844e-05,
                1.1478772221429265e-05
            ],
            [
                0.9999996533672549,
                0.9999982396569966,
                0.999998790134028,
                0.9999995549150013,
                0.999998446502431,
                0.9999992661792819,
                0.9999810748449987,
                0.9999996072138934,
                0.999999694097846,
                0.9999993524052018
            ],
            [
                0.999820472055577,
                0.9999852610110056,
                0.2450850241603249,
                0.9998204720342186,
                0.9997388097538306,
                0.9996200154293108,
                0.9999852610233028,
                0.9998601778598543,
                0.9999546021097396,
                0.9999974387177893
            ],
            [
                0.9999646437493283,
                0.9997965729264191,
                0.8175744850834649,
                0.43782349911420193,
                0.9999151889187828,
                0.9991959140142372,
                0.9980732653778646,
                0.9999339478795406,
                0.037326885737772805,
                0.9998911030949487
            ],
            [
                4.2228349543420954e-06,
                3.7266401720529807e-06,
                3.7266392839832006e-06,
                1.0677027422708868e-06,
                2.1444958616409722e-05,
                0.0001398220208204081,
                1.3007131561047124e-05,
                2.2603251059484907e-06,
                0.00023050665129379738,
                6.144175332283612e-06
            ],
            [
                1.8925148223661747e-05,
                1.3007130007988564e-05,
                0.9924227579127431,
                3.2887478881736613e-06,
                1.8925145974191664e-05,
                1.670142780235907e-05,
                7.889266343575084e-06,
                0.9997388096612667,
                1.4738988986079782e-05,
                NaN
            ],
            [
                0.9999996072137998,
                0.9999970976887075,
                0.9999990577557432,
                0.9999987901340284,
                0.99999862904263,
                0.9999996533673375,
                0.9999938558275969,
                0.9999997617630333,
                0.9999962733602847,
                0.9999974387180947
            ],
            [
                0.9999997897566589,
                0.999999495652652,
                0.9999995549150011,
                0.9999998362622943,
                0.9999998144609424,
                0.999999855501979,
                0.9999998874647976,
                0.9999990577557432,
                0.9999994284992805,
                0.9999998555020307
            ],
            [
                1.209866116149238e-06,
                3.2887490653408545e-06,
                1.209865827698362e-06,
                2.7535704212311033e-05,
                4.785093352813021e-06,
                1.3709572068179446e-06,
                5.043472879291295e-07,
                3.7266406154676995e-06,
                NaN,
                4.5397873557814856e-05
            ],
            [
                1.8925141465200488e-05,
                1.012999096259517e-05,
                2.2603237589542675e-06,
                1.012999338699898e-05,
                6.144173134868593e-06,
                7.889264454577566e-06,
                2.4300231947674342e-05,
                4.785093923603471e-06,
                1.5534983100920427e-06,
                1.209865683500459e-06
            ],
            [
                0.9999977396765178,
                0.9999967112521128,
                0.9999962733593843,
                0.9999974387174849,
                0.9999992661787571,
                0.9999957771650483,
                0.9999962733611607,
                0.9999986290426297,
                0.999999352405279,
                0.9999980052693525
            ],
            [
                0.9999967112497591,
                0.9999977396748941,
                0.999998446502801,
                0.99999844650169,
                0.9999982396565775,
                0.9999984465015047,
                0.9999987901341724,
                0.9999962733602736,
                0.9999987901340281,
                0.9999974387180949
            ],
            [
                3.120190386700167e-05,
                8.9396973602726e-06,
                2.753568122996191e-05,
                3.120191503554163e-05,
                1.6701419845073e-05,
                5.829125820885295e-05,
                NaN,
                NaN,
                1.6701417854810315e-05,
                8.481106102549069e-05
            ],
            [
                0.9999994956523514,
                0.9999989322968754,
                0.99999844650169,
                0.9999945777810453,
                0.9999994284992804,
                0.9999996072137061,
                0.9999991684719723,
                0.9999992661789321,
                0.9999995549147358,
                0.999999653367379
            ],
            [
                2.1444958628814052e-05,
                0.005911069250268904,
                0.9968273174078752,
                NaN,
                1.1478768124553928e-05,
                3.1201911154236873e-05,
                2.7535694326282365e-05,
                2.144494329192304e-05,
                0.00012339455973421916,
                4.539789021507677e-05
            ],
            [
                3.466324971396247e-07,
                6.475945666009864e-07,
                1.9947306726213275e-06,
                3.2887486729337966e-06,
                1.209865827740176e-06,
                1.994730434816876e-06,
                3.9278605979208185e-07,
                1.1478768121401121e-05,
                5.422218323093458e-06,
                2.144494327335557e-05
            ],
            [
                0.9999962733602732,
                0.0003799844317524153,
                0.9999417087559468,
                0.9998415638074762,
                0.46879062662624377,
                0.9978172839309185,
                0.9999986290429568,
                0.04742587401904765,
                0.22270013882530887,
                0.04742587334586296
            ],
            [
                0.9968273175580914,
                0.9997040428691532,
                0.9999756997563948,
                0.9902915222739279,
                0.999569442963003,
                0.20181321745968234,
                0.9998415637457365,
                0.9998415638214826,
                0.9971990736701877,
                0.08509905254807777
            ],
            [
                0.9999967112501523,
                0.002800926503446397,
                1.1478773597640625e-05,
                NaN,
                6.144172403335888e-06,
                0.999988521229141,
                0.9996646497522385,
                2.7535697614112e-05,
                0.9999151889286554,
                0.9999832985841405
            ],
            [
                0.9999991684722698,
                0.9999993524049702,
                0.9999996940977001,
                0.9999993524049702,
                0.9999957771655511,
                0.9999995549150541,
                0.9999998144609424,
                0.9999996072137998,
                0.9999993524053562,
                0.9999977396762412
            ],
            [
                NaN,
                1.1478766755734576e-05,
                4.539786848774071e-05,
                5.422218965676499e-06,
                7.484622628213528e-05,
                1.3007129971127024e-05,
                1.9947301968673173e-06,
                2.144495350060085e-05,
                1.1478769488257963e-05,
                6.144176797730321e-06
            ],
            [
                0.999985261019786,
                0.999820471991165,
                0.9999832985721857,
                0.9999546021205791,
                0.9998766053810586,
                0.9999930377445825,
                0.9947798747030134,
                0.9996646498135399,
                0.999954602142202,
                0.9999810748517628
            ],
            [
                0.9999994284996893,
                1.4738985473530904e-05,
                6.605215998558894e-05,
                2.4300246486733047e-05,
                5.1442207479139826e-05,
                0.0001233945733200541,
                1.6701425822059825e-05,
                0.97966764509906,
                8.481105090497588e-05,
                4.785093353100252e-06
            ],
            [
                0.9999998144608317,
                0.9999992661786696,
                0.9999994284994849,
                0.9999990577551815,
                0.9999994284997574,
                0.9999997617630049,
                0.9999996533672549,
                0.9999994956525918,
                0.9999980052707547,
                0.9999994956524717
            ],
            [
                0.9999994956524114,
                0.9999989322967487,
                0.9999987901347495,
                0.9999982396572136,
                0.9999898700102656,
                0.9999991684717744,
                0.9999995549148419,
                0.9999977396746245,
                0.9999994956525918,
                0.9999987901347492
            ],
            [
                NaN,
                9.610238023195215e-05,
                6.962259564786214e-06,
                4.7850967757637256e-06,
                NaN,
                6.605214456006411e-05,
                3.53562421969549e-05,
                8.939699500327152e-06,
                1.4738985461681033e-05,
                5.829129302408064e-05
            ],
            [
                2.5612828212909852e-06,
                2.9023133689924295e-06,
                1.2098653950551882e-06,
                6.962257909121104e-06,
                1.7603427936079236e-06,
                2.5612815999679353e-06,
                1.3007126911004571e-05,
                1.760344052693435e-06,
                2.2603245672497918e-06,
                2.5612834317535587e-06
            ],
            [
                0.999999168471675,
                0.9999994956527722,
                0.9999993524054335,
                0.9999974387174864,
                0.99999976176309,
                0.9999997617631184,
                0.999999814460854,
                0.9999993524053564,
                0.9999997300420939,
                0.9999991684720716
            ],
            [
                7.889264466344872e-06,
                4.0063692159249626e-05,
                0.4378234991142019,
                NaN,
                1.4738988994498018e-05,
                NaN,
                7.484626278955236e-05,
                1.3007126911974612e-05,
                1.994729007936337e-06,
                2.144494072680393e-05
            ],
            [
                0.0,
                1.6701417849645853e-05,
                2.430024648072174e-05,
                1.3007133105966991e-05,
                5.82912445736154e-05,
                4.0063706453049636e-05,
                2.1444953494671738e-05,
                3.120192613121319e-05,
                8.939699498587217e-06,
                NaN
            ],
            [
                0.999995777165049,
                0.9999996940977002,
                0.9999994284993486,
                0.9999996533673375,
                0.9999996940977367,
                0.9999977396765105,
                0.9999990577549568,
                0.999995777166053,
                0.9999992661791945,
                0.9999997897565838
            ],
            [
                0.9999992661790195,
                0.9999996940977002,
                0.9999996940977001,
                0.9999996072138466,
                0.9999996940977007,
                0.9999994956527721,
                0.9999996533673376,
                0.9999998555019274,
                0.9999998362622942,
                0.9999996533672136
            ],
            [
                8.939698434820389e-06,
                1.2098655392574583e-06,
                1.670142781086525e-05,
                1.0677033791437343e-06,
                1.5534979397140412e-06,
                6.1441746016670885e-06,
                8.939697368305565e-06,
                6.475948753741589e-07,
                4.222832437324657e-06,
                8.9396973679153e-06
            ],
            [
                1.6701425777341625e-05,
                3.7266397280960194e-06,
                1.994730672468935e-06,
                3.9278605979011705e-07,
                2.753569433890398e-05,
                4.785094493184135e-06,
                5.043472879481655e-07,
                1.3007131561425676e-05,
                2.2603253753174176e-06,
                3.726639727994339e-06
            ],
            [
                0.9999997617631752,
                0.9999957771670596,
                0.9999977396765106,
                0.9999984465022458,
                0.9999993524051246,
                0.9999996072139402,
                0.9999997617630616,
                0.9999990577555187,
                0.9999957771680668,
                0.9999785550542597
            ],
            [
                3.120192619909121e-05,
                3.535625063087323e-05,
                1.1478765386623071e-05,
                NaN,
                3.1201900119184085e-05,
                2.4300243569125712e-05,
                5.422220908314139e-06,
                1.3007126912826352e-05,
                6.605215212168967e-05,
                6.9622562489985925e-06
            ],
            [
                0.999999428499553,
                0.9999957771680688,
                0.9999989322968756,
                0.9999992661791944,
                0.9999990577555185,
                0.999999607213753,
                0.999996711250543,
                0.9999962733593841,
                0.9999986290426298,
                0.999999266178757
            ],
            [
                1.0129987356375273e-05,
                3.7266410600755218e-06,
                2.561282515783711e-06,
                1.3709578605243332e-06,
                1.2098653950606901e-06,
                1.9947299591100915e-06,
                5.04347588554027e-07,
                NaN,
                1.5534981249291695e-06,
                1.99472924590571e-06
            ],
            [
                0.9999970976873233,
                0.9999998555019962,
                0.9999996533674615,
                0.9999996940976272,
                0.999999789756634,
                0.9999970976883612,
                0.999999168471675,
                0.9999997300422869,
                0.9999994956527123,
                0.9999997300422869
            ],
            [
                0.9999251537462764,
                NaN,
                0.9999417087067817,
                0.999876605410911,
                0.994779875092331,
                0.9997965729787457,
                0.9999417087136563,
                0.9999417087347732,
                0.9999756997650667,
                0.9996646497337593
            ],
            [
                0.999999694097846,
                0.9999996940977367,
                0.9999994284996893,
                0.9999990577550693,
                0.9999991684718733,
                0.9999995549147358,
                0.9999992661791073,
                0.9999994956524114,
                0.9999987901343166,
                0.9999997300423191
            ],
            [
                0.9999989322967482,
                0.9999987901337398,
                0.9999986290431201,
                0.999998446502616,
                0.9999980052695655,
                0.9999994284993485,
                0.9999993524054334,
                0.9999984465015048,
                0.9999994284996894,
                0.9999986290423032
            ],
            [
                0.9999546021151431,
                0.999986992865338,
                0.9999945777823238,
                0.9999599362887367,
                0.999964643757826,
                0.9999756997563877,
                0.9999646437493261,
                0.9999910603068958,
                0.9999957771670592,
                0.9999599362887558
            ],
            [
                0.9999998555019446,
                0.9999987901341724,
                0.9999997300421903,
                0.9999994956523514,
                0.9999885212346358,
                0.9999992661786696,
                0.999999653367379,
                0.999999266179107,
                0.9999989322967481,
                0.9999995549147358
            ],
            [
                0.9999993524052792,
                0.9999994956527722,
                0.9999977396762508,
                0.9999991684717742,
                0.9999994956525918,
                0.9999997300423191,
                0.9999994284996211,
                0.9999994956523514,
                0.9999995549148419,
                0.9999997300421583
            ],
            [
                5.144220746454321e-05,
                4.2228339475595195e-06,
                2.7535681222849733e-05,
                1.8925148220012804e-05,
                0.00010889693432465056,
                2.430023781329673e-05,
                1.300712999772033e-05,
                1.67014198374782e-05,
                6.605214456006411e-05,
                NaN
            ],
            [
                0.9999996533673375,
                0.9999997897565838,
                0.9999997300422869,
                0.9999999006881141,
                0.9999997897566589,
                0.9999997897566589,
                0.999999428499417,
                0.9999996072137061,
                0.9999997300421903,
                0.9999992661791072
            ],
            [
                7.889260702141888e-06,
                9.610244902887168e-05,
                6.962256246693712e-06,
                0.9626731160024468,
                4.222832437443716e-06,
                1.0129987355122296e-05,
                6.14417679836736e-06,
                4.785092782396909e-06,
                1.0129988561077228e-05,
                1.8925143724239906e-05
            ],
            [
                4.0063696888092954e-05,
                1.99472995920443e-06,
                1.7603436328033735e-06,
                2.753569761771817e-05,
                2.4300246515109972e-05,
                6.144173868178388e-06,
                6.962258736902953e-06,
                2.14449483174666e-05,
                7.889265403654039e-06,
                1.3007133111929193e-05
            ],
            [
                0.9999984465018752,
                0.999999653367255,
                0.9999994284996893,
                0.9999995549147889,
                0.9999998362623723,
                0.9999991684722698,
                0.9999992661787571,
                0.9999996533672962,
                0.9999986290424664,
                0.9999996940977001
            ],
            [
                9.610241456817964e-05,
                2.561283431916622e-06,
                1.670142183983204e-05,
                1.1478768117893363e-05,
                NaN,
                NaN,
                1.7603440523668265e-06,
                2.902313022554084e-06,
                2.7535686906579322e-05,
                1.3007133103695677e-05
            ],
            [
                0.9999980052695652,
                0.9999991684718733,
                0.9999962733589389,
                0.9999980052705164,
                0.999983298576185,
                0.9999967112493665,
                0.9999967112517189,
                0.9999930377454107,
                0.9999986290427935,
                0.9999986290421395
            ],
            [
                0.9996646499348546,
                0.9999151889284529,
                0.34864514210180597,
                0.9998415637457918,
                0.9999038975394697,
                0.9988304895048499,
                0.8519528057272544,
                0.9999151889385179,
                0.998073265128474,
                0.9999687980737645
            ],
            [
                0.9999996940977001,
                0.9999982396567867,
                0.9999996533672136,
                0.9999990577550691,
                0.999999266178932,
                0.9999992661791947,
                0.9999984465020604,
                0.9999990577549569,
                0.999999352404893,
                0.9999994284997573
            ],
            [
                0.9999986290421397,
                0.9999998144608097,
                0.9999977396754327,
                0.999999814460876,
                0.9999993524052019,
                0.9999992661789321,
                0.9999996533673788,
                0.9999962733589403,
                0.9999986290424664,
                0.9999967112497595
            ],
            [
                3.726638395215427e-06,
                0.9986749776365498,
                NaN,
                7.484622697043032e-05,
                5.42221767672807e-06,
                1.4738980188435699e-05,
                2.2603253755476615e-06,
                1.3007130008887624e-05,
                4.539789002383415e-05,
                2.1444956049650475e-05
            ],
            [
                2.9023123310290063e-06,
                NaN,
                0.7549149923816048,
                NaN,
                0.999999057755294,
                1.6701429797422853e-05,
                4.006369194908531e-05,
                2.561281905293402e-06,
                3.7266397278791014e-06,
                1.892514595271109e-05
            ],
            [
                0.9999984465020603,
                0.9999977396748945,
                0.9999990577556311,
                0.9999996072138937,
                0.9999990577551816,
                0.9999996940978095,
                0.9999996940977002,
                0.9999995549151072,
                0.9999974387180995,
                0.9999989322968754
            ],
            [
                0.9999994284996893,
                0.9999986290423036,
                0.9999991684721706,
                0.9953904279231829,
                0.9999724643026222,
                NaN,
                0.997199072368257,
                0.9999852610216036,
                0.9995121427964392,
                7.48462449695656e-05
            ],
            [
                0.9999869928700029,
                0.9626731154669946,
                0.9999986290431209,
                0.9999974387184001,
                0.0002959570550878791,
                0.9999997300421261,
                0.9999994956527121,
                0.0007096704741457027,
                0.9999962733607167,
                0.9999984465015048
            ],
            [
                2.1444938289004886e-05,
                8.939698433145498e-06,
                4.539786316895279e-05,
                0.9999485577927315,
                4.006367784140681e-05,
                2.1444943278894603e-05,
                2.260324028306588e-06,
                2.753570421481532e-05,
                1.1478765387416494e-05,
                NaN
            ],
            [
                0.9996646498906275,
                0.999891103058008,
                0.9978172833705797,
                0.9997388095982276,
                0.9989677688169122,
                0.9996200155650086,
                0.9993736658396317,
                0.999738809629067,
                0.9990889490111688,
                0.9989677690715244
            ],
            [
                0.9999995549150011,
                0.9999980052705166,
                0.9999995549148419,
                0.9999989322972574,
                0.999999789756684,
                0.9999991684721707,
                0.9999997617630049,
                0.9999996533672135,
                0.9999986290429589,
                0.9999986290421399
            ],
            [
                0.9997040428307913,
                6.962258739530771e-06,
                8.481105117029848e-05,
                2.430023203740195e-05,
                4.7850967763512445e-06,
                2.7535691093547457e-05,
                0.0474258782264522,
                6.144175333837093e-06,
                7.889259761030436e-06,
                1.3007128461838766e-05
            ],
            [
                4.006370616068502e-05,
                8.315282258900085e-07,
                1.30071253611406e-05,
                4.539785105527772e-05,
                1.209865971934245e-06,
                1.209865827740176e-06,
                2.7535697621124005e-05,
                2.4300252293748645e-05,
                1.2098652508144226e-06,
                3.2887506334201674e-06
            ],
            [
                0.34864513533394575,
                0.9996646498386633,
                0.9999151889589478,
                0.999925153764135,
                0.9999546021425125,
                0.9998601778609508,
                0.9999852610233173,
                0.9999646437542153,
                0.9999687980890455,
                0.008577487227365923
            ],
            [
                0.9999546021209527,
                0.9999986290423029,
                0.9999970976883609,
                0.9999852610145312,
                0.9999869928653696,
                0.9999785550593056,
                0.9999989322973846,
                0.9999938558246698,
                0.9999898700066107,
                0.9996646497865918
            ],
            [
                0.9999996072137998,
                0.99999976176309,
                0.9999998362623723,
                0.9999994284997574,
                0.9999997617630332,
                0.9999994956524716,
                0.9999993524054335,
                0.9999997300422869,
                0.9999997617631469,
                0.9999996940977002
            ],
            [
                0.999997097687323,
                0.9999869928746392,
                0.9999967112497585,
                0.9999995549147889,
                0.9999962733602719,
                0.99995460213681,
                0.9999810748472683,
                0.9999990577550691,
                0.9999546021260319,
                0.9999986290432835
            ],
            [
                1.4738983701251412e-05,
                1.2098653949192932e-06,
                2.902311984989368e-06,
                1.6701429787579988e-05,
                1.0129993393319151e-05,
                1.1478773593548236e-05,
                2.1444950948742995e-05,
                5.422221553910605e-06,
                NaN,
                NaN
            ],
            [
                0.9997040429736727,
                0.999985261016284,
                0.9999869928699867,
                0.9999810748449992,
                0.9999898700066185,
                0.999948557792726,
                0.9999251538004525,
                0.40733340004593027,
                0.9999869928685251,
                0.9999417087417479
            ],
            [
                0.9999898700054022,
                0.9999992661791945,
                0.9999962733607177,
                0.9999921107355361,
                0.9999994284994168,
                0.9999974387187102,
                0.9999996940976636,
                0.9999992661786695,
                0.9999991684717744,
                0.9999885212318992
            ],
            [
                0.9999339478711452,
                0.9998766054268792,
                0.9998415638048714,
                0.999891103090875,
                0.9999885212264071,
                0.00029595705973778385,
                0.46879062662624377,
                0.9990889486160303,
                0.9992903295789803,
                0.9999832985844844
            ],
            [
                0.9999832985722411,
                0.9999756997681472,
                0.002472623295036004,
                0.000430557055071241,
                NaN,
                0.9999810748473354,
                0.00013982203943918052,
                0.9999952149060773,
                0.9999910603047674,
                0.9999980052698036
            ],
            [
                0.0001398220829385992,
                1.3007126903480843e-05,
                5.4222202609325635e-06,
                NaN,
                0.999915188990141,
                0.9999599363078385,
                NaN,
                4.006367769464163e-05,
                0.9999885212332433,
                2.144494073483943e-05
            ],
            [
                0.9999997897566089,
                0.9999938558276038,
                0.9999986290431201,
                0.9999996940976636,
                0.999999266178757,
                0.999999855502048,
                0.9999994956524115,
                0.9999996940978095,
                0.9999995549150011,
                0.9999995549149481
            ],
            [
                0.9999995549147359,
                0.9999982396559475,
                0.9999998724809267,
                0.9999991684719725,
                0.9999997300422547,
                0.9999987901343166,
                0.999989870009022,
                0.9999995549151073,
                0.9999998555019962,
                0.9999995549148424
            ]
        ]
    },
    {
        "q_id": "10773_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            19,
            22,
            23,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            34,
            36,
            37,
            38,
            39,
            40,
            41,
            43,
            44,
            45,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            122,
            123,
            124,
            125,
            126,
            127,
            18,
            20,
            21,
            24,
            33,
            35,
            42,
            46,
            47,
            67,
            109,
            110,
            121
        ],
        "rewards": [
            [
                0.9999599363030446,
                0.9995694430143824,
                2.144495608046625e-05,
                0.9999910603047619,
                0.9999869928653343,
                0.9999599363173673,
                0.9999251537370755,
                0.9982992775263039,
                0.9999910603026306,
                0.9999852610215436
            ],
            [
                0.9999251537549112,
                0.9999687980997913,
                0.9999785550439183,
                NaN,
                0.9998766053663525,
                0.999954602142202,
                0.9999151889182516,
                0.9999724643023419,
                0.9999930377454103,
                0.999968798077481
            ],
            [
                0.9999785550592593,
                0.9999984465018751,
                0.999991060300499,
                0.999989870005398,
                0.9999852610215436,
                0.9999970976887068,
                0.9999982396574163,
                0.999997438716568,
                0.9999984465020603,
                0.9999938558246657
            ],
            [
                0.9999151889789345,
                0.9999945777816768,
                0.9998766054693765,
                0.9999485577740814,
                0.6513548714339145,
                0.9999962733620488,
                0.9999885212277698,
                0.9999910603004997,
                0.9999952149066466,
                0.9999810748472503
            ],
            [
                6.605215247874642e-05,
                0.9997040429718298,
                0.9999485577863724,
                0.001501182471195378,
                8.939699500766203e-06,
                0.9998911030778838,
                0.004609572002036008,
                0.9998911031168067,
                0.97404264440341,
                0.9999910603047619
            ],
            [
                0.9999910603036964,
                0.9999945777797382,
                0.9999910603026316,
                0.9999957771645425,
                0.9999962733602717,
                0.9999921107364752,
                0.9999869928684365,
                0.9999987901344607,
                0.999997097687669,
                0.9999869928730867
            ],
            [
                1.7603434231705793e-06,
                7.889264465842609e-06,
                NaN,
                2.699578096393206e-07,
                2.2603251061849014e-06,
                3.288748281220719e-06,
                0.0002959570561900787,
                1.0677026154774503e-06,
                6.605212866984062e-05,
                2.9023119851635836e-06
            ],
            [
                0.9999962733607161,
                0.9999970976890531,
                0.9999945777803839,
                0.9999974387184001,
                0.9999921107336531,
                0.999997097689053,
                0.9999938558253981,
                0.9999930377429223,
                0.9999967112497585,
                0.9999962733593833
            ],
            [
                0.9999938558268633,
                0.999992110740236,
                0.9999898700102287,
                0.9999810748517612,
                0.9999885212359796,
                0.9999885212332436,
                0.9999898700053982,
                0.9999785550464798,
                0.9999869928653361,
                0.9999957771665555
            ],
            [
                1.3007125362820425e-05,
                0.9999980052693274,
                0.9999910603004993,
                0.9999921107355344,
                0.9999952149072178,
                0.9999974387171787,
                0.9999945777816771,
                0.999989870006606,
                0.999989870009022,
                0.9999810748427413
            ],
            [
                0.9999756997679586,
                0.9997694932584691,
                0.999796572930092,
                0.9999785550567005,
                0.9999852610180315,
                0.9999038975737402,
                0.9992903297060369,
                0.9997040427956243,
                0.9999599363126013,
                0.9998601779759897
            ],
            [
                1.2098659719661556e-06,
                7.338207180801359e-07,
                3.059021904559123e-07,
                4.5397852399094525e-05,
                5.715006514167015e-07,
                1.760343423160973e-06,
                5.715003789033962e-07,
                1.2098658277335738e-06,
                3.059023363231725e-07,
                1.7603438428564603e-06
            ],
            [
                0.9999977396751633,
                0.999986992876188,
                0.9999974387180947,
                0.9999957771670589,
                0.9999930377420909,
                0.9999957771650455,
                0.9999938558261312,
                0.9999869928730875,
                0.9999938558261309,
                0.9999810748540193
            ],
            [
                0.999991060299434,
                0.9999957771665557,
                0.99996879808864,
                0.9999982396574163,
                0.9999930377404309,
                0.999993037740431,
                0.9999599362982748,
                0.9999970976887069,
                0.9999952149032236,
                0.9999957771665555
            ],
            [
                0.9999756997592735,
                0.9999546021313743,
                0.9999952149055056,
                9.610241455559457e-05,
                0.9997965730994728,
                0.9999945777810307,
                0.999841563783258,
                0.9999938558253982,
                0.9999957771650453,
                0.9999945777810306
            ],
            [
                0.9999982396574162,
                0.9999962733611603,
                0.9999885212359813,
                0.9999980052693274,
                0.9999974387171787,
                0.9999945777790913,
                0.9999967112517187,
                0.9999977396762411,
                0.9999930377437504,
                0.9999938558224685
            ],
            [
                0.999968798081189,
                0.999959936298269,
                0.9999724643089034,
                NaN,
                0.9999485577618593,
                0.9999546021313694,
                0.0008040860256076538,
                0.9999417087483685,
                NaN,
                0.9046505447409666
            ],
            [
                0.999997097686631,
                0.9999982396574163,
                0.999998239656367,
                0.9999982396574163,
                0.9999991684715759,
                0.9999910603036961,
                0.9999984465024306,
                0.9999938558253986,
                0.9999987901346049,
                0.9999980052693274
            ],
            [
                0.9993736659724722,
                0.9999885212291383,
                0.9999785550464791,
                0.9999810748472479,
                0.9984988178961235,
                0.9999599362935014,
                0.9999921107364753,
                0.9999885212332436,
                0.9999832985721853,
                0.9999785550490315
            ],
            [
                0.9999910603036963,
                0.9999938558275957,
                0.9999967112521109,
                0.9999967112509347,
                0.999993855823201,
                0.9999938558253986,
                0.9999910603036961,
                0.9999930377445806,
                0.9999898700114358,
                0.9999756997679633
            ],
            [
                0.9999898700114358,
                0.9999832985781592,
                0.9999910603015651,
                0.9999832985821392,
                0.9999938558253982,
                0.9999852610145203,
                0.9999945777784449,
                0.9999974387184,
                0.9999832985741745,
                0.9999810748495079
            ],
            [
                0.9999921107392955,
                0.9999945777797377,
                0.9999910603058276,
                0.9999910603047617,
                0.999989870010228,
                0.9999945777816768,
                0.9999980052709918,
                0.9999852610110046,
                0.9999898700102293,
                0.999985261021543
            ],
            [
                0.9999885212359804,
                0.9999945777829694,
                0.9999885212291382,
                0.9999885212332431,
                0.9999885212346117,
                0.9999910603004999,
                0.9149009555730612,
                0.9999962733598274,
                0.9999756997621728,
                0.9999485577925108
            ],
            [
                0.9996646498504494,
                0.9997965731004437,
                0.9999251537638628,
                0.9997965729303111,
                0.9999546021476033,
                0.9997040427949182,
                0.9980732656218819,
                0.9989677688153517,
                0.9993736659025906,
                0.9999485577679982
            ],
            [
                1.892515500663531e-05,
                0.9999945777797375,
                0.9999970976869769,
                0.9999945777810304,
                0.9999921107355335,
                0.9999967112497585,
                0.9999962733607161,
                0.9999967112497585,
                0.9999974387180947,
                0.9999885212332436
            ],
            [
                0.9996200154702357,
                0.9770226315953247,
                0.9971990725802597,
                0.00043055715920796363,
                0.9984988175403215,
                0.9999756997563768,
                0.9999910603058276,
                0.9999945777803838,
                0.9046505351008906,
                0.9995121427643663
            ],
            [
                0.0004878572295313736,
                NaN,
                3.12019002110123e-05,
                0.9399133546649715,
                8.481107157360807e-05,
                0.651354857898194,
                8.481103111438118e-05,
                0.00020342692393505483,
                0.9999930377429207,
                0.9999952149055052
            ],
            [
                1.3007130014636887e-05,
                0.9999898700066059,
                0.9999967112513274,
                0.9997040430095975,
                0.999985261021543,
                0.9999967112497585,
                0.9999962733589389,
                0.99998329858413,
                0.9999910603004994,
                0.9999898700053991
            ],
            [
                0.9999832985701939,
                0.9999832985841293,
                0.999941708713636,
                0.9999599363173874,
                0.9999910603047626,
                0.9999785550567036,
                0.9999724643056201,
                0.9999724642957807,
                0.999995777167059,
                0.9999898700053974
            ],
            [
                0.9999952149066462,
                0.9999910603036963,
                0.9999967112497585,
                1.670141586949968e-05,
                0.9999945777823233,
                0.9999991684717741,
                0.9999938558232009,
                0.999992110738355,
                0.9999974387184,
                0.9999810748585286
            ],
            [
                0.4073334000459302,
                0.9990889486640848,
                0.015906392907239022,
                0.9980732655589747,
                0.00010889696049086198,
                0.9914225143962108,
                0.07585817270885642,
                0.9959298618386323,
                0.08509904152653233,
                0.9991959141503273
            ],
            [
                0.9996646499300152,
                0.00023050671354221634,
                0.9998911031297203,
                0.0001398220898168875,
                0.9999485577618425,
                0.9999417087275282,
                0.9999898700126433,
                0.9999687980923714,
                0.9890130560538113,
                0.9999038975393356
            ],
            [
                0.9999646437492923,
                0.991422515552514,
                0.9947798741686087,
                0.9999756997592695,
                0.999989870010228,
                0.0001233945597162651,
                0.9999485578047577,
                0.9998911030389356,
                5.829125154581821e-05,
                3.7266388398585725e-06
            ],
            [
                0.9982992779799185,
                0.9994472213262553,
                0.9991959139535346,
                0.999820472055543,
                0.9996646497337593,
                0.9997388095972548,
                0.999195914052726,
                0.9995121427657854,
                0.9997388096905482,
                0.9998204720768021
            ],
            [
                0.9998601779261043,
                6.144176066795103e-06,
                0.9998415638398733,
                0.9997694932029144,
                0.9991959141602885,
                0.9999852610162734,
                0.9999417087344686,
                0.9998766053956554,
                0.9999417087205802,
                0.9999910603015656
            ],
            [
                0.9999977396765105,
                0.999995214906076,
                0.9999921107336536,
                0.9999945777816769,
                0.9999957771660523,
                0.9999957771675625,
                0.9999957771665556,
                0.9999869928684354,
                0.9999952149072171,
                0.999993855826131
            ],
            [
                0.9999038975850683,
                0.9999599362982768,
                0.9999599362935121,
                0.9999646437535082,
                0.999972464312183,
                0.00029595702507877306,
                0.9999038975622536,
                0.9999687980923492,
                0.9999485577863629,
                0.0004305570322122693
            ],
            [
                0.9999898700090215,
                0.9999930377412606,
                0.9996646498901787,
                0.9999921107336531,
                0.9999938558261313,
                0.9999910603058283,
                0.9999910603015651,
                0.9999339478474948,
                0.9999852610233015,
                0.9999930377445807
            ],
            [
                0.9999785550464758,
                0.9999687980997952,
                0.9999885212332438,
                0.9999869928653348,
                0.9999756997505803,
                0.9999938558268632,
                0.9999970976869769,
                0.9999962733598274,
                0.00037998456873246963,
                0.9999910602994336
            ],
            [
                0.9999984465022455,
                0.9999977396748939,
                0.999999266178932,
                0.9999967112493665,
                0.9999977396748938,
                0.9999990577552937,
                0.9999977396765105,
                0.9999980052693274,
                0.9999967112505427,
                0.9999962733620487
            ],
            [
                0.6224593171945416,
                0.9999952149032237,
                0.999986992869987,
                0.999999266178757,
                0.9999785550515884,
                0.9999756997679633,
                0.00020342704504097475,
                0.9999952149037941,
                0.9999339478711677,
                0.9947798740235213
            ],
            [
                0.9999952149066466,
                0.999992110737415,
                0.99999893229713,
                0.9999930377462403,
                0.9999986290432834,
                0.999995777166052,
                0.9999945777784449,
                0.9999967112513268,
                0.9999962733602719,
                0.9999810748517612
            ],
            [
                0.9999974387168733,
                0.9999898700066059,
                0.9999898700090215,
                0.9999910603058282,
                0.9999546021421944,
                0.9999810748585286,
                0.9999938558275958,
                0.00023050665849049445,
                0.9999869928668851,
                0.9999957771650454
            ],
            [
                1.30071253611406e-05,
                1.209865683500459e-06,
                2.144495606626759e-05,
                2.5612831267086116e-06,
                2.5612825160096693e-06,
                2.2603234895176927e-06,
                2.753569765908901e-05,
                2.561281905390075e-06,
                1.2098661161861e-06,
                8.315284241560147e-07
            ],
            [
                0.999983298576167,
                0.0006263343035199725,
                0.9999251537727715,
                0.9998911031037379,
                0.999933947878971,
                0.9999921107364745,
                0.5,
                0.00012339463286649722,
                1.0129987356541108e-05,
                0.9999810748495068
            ],
            [
                0.9999938558232009,
                0.9999967112509347,
                0.9999938558253983,
                0.9999898700078131,
                0.9999852610110015,
                0.9999832985801492,
                0.9999599363078219,
                0.9999962733611601,
                0.9999938558224685,
                0.9999945777784449
            ],
            [
                NaN,
                NaN,
                0.0015011821291787627,
                0.9989677688269958,
                0.9993736659740389,
                2.5612812946890944e-06,
                0.6224593241981982,
                0.9859363723239895,
                0.00026119036954982245,
                0.9997965729784852
            ],
            [
                0.9990889486616477,
                0.9988304895986828,
                0.9984988177109808,
                0.9999930377454105,
                0.9998601778759707,
                0.9971990730705973,
                0.9999251537371739,
                0.0003353502676749829,
                0.9997040430075395,
                0.9999038975736046
            ],
            [
                0.00033535021930124637,
                0.9999151889283443,
                4.0063692165808155e-05,
                0.9999546021367908,
                0.0005527786701429852,
                0.0003353502651382398,
                0.962673111183377,
                0.0006263342287197017,
                1.8925148238808306e-05,
                0.8175744828610095
            ],
            [
                0.9999852610127579,
                0.9999921107355337,
                0.9999785550490354,
                0.9999945777790915,
                0.999991060302631,
                0.9999957771665557,
                0.9999785550515891,
                0.9999967112497586,
                0.9999921107336528,
                0.9999910603068933
            ],
            [
                0.9999038975852962,
                0.00023050668643219275,
                0.9999930377429207,
                5.422218969463855e-06,
                8.481105129493839e-05,
                0.00026119030537074595,
                0.9999785550515891,
                0.00029595699134974697,
                0.9990889488797209,
                0.9999930377420914
            ],
            [
                0.999995214904365,
                0.9999962733611603,
                0.9999962733616047,
                0.9999151889587349,
                1.4738987242137685e-05,
                0.9999957771650455,
                0.9999898700126444,
                0.9999898700102289,
                0.9999952149072171,
                0.999995777164542
            ],
            [
                0.9999417087066693,
                0.999978555049031,
                0.9999938558246657,
                0.9999962733598274,
                0.9999962733620487,
                0.9999885212359798,
                0.9999869928684354,
                1.0129992186939844e-05,
                0.9997694933672714,
                0.9999938558275957
            ],
            [
                0.9999724642957807,
                0.9999151889182362,
                0.9999930377454107,
                0.9999930377420914,
                0.9999852610110012,
                0.999985261021549,
                0.999995214904935,
                0.9999930377412607,
                0.9999869928668845,
                0.9999989322967482
            ],
            [
                6.605212100874168e-05,
                0.3486451285660856,
                6.144176799099397e-06,
                3.2887486733420804e-06,
                2.6995780963846126e-07,
                1.9947299592933255e-06,
                5.715003107755449e-07,
                1.3709576971379186e-06,
                9.422449308673789e-07,
                1.3709573702722555e-06
            ],
            [
                0.0001795279213798913,
                0.9999646437619356,
                9.610244922114349e-05,
                0.0001584362914162005,
                0.025957355219835308,
                0.00017952792078957793,
                0.00020342694667108092,
                0.0007096702563993113,
                4.006369694755693e-05,
                0.00023050676592453216
            ],
            [
                0.999915188989068,
                0.9998911030518491,
                0.999841563764616,
                3.1201926243586504e-05,
                0.9998601779762439,
                0.9999599363221466,
                0.999985261021543,
                3.5356254907513187e-05,
                0.999915188928337,
                0.9999832985821404
            ],
            [
                0.9999921107392957,
                0.9999945777816768,
                0.9999952149060758,
                0.9999930377429206,
                0.9999885212346142,
                0.9999945777823231,
                0.9999869928730869,
                0.999915188928337,
                0.9999921107355337,
                0.9999930377412611
            ],
            [
                0.9999957771680656,
                0.9999930377462403,
                0.9999832985741774,
                0.999975699762166,
                0.9999921107345933,
                0.43782349911420193,
                0.9999832985721857,
                0.9999785550439179,
                0.9999869928730869,
                0.00023050674082662724
            ],
            [
                0.9999724642990556,
                0.999876605410726,
                0.9999785550541467,
                0.9999785550490348,
                0.9999546021205704,
                0.9999687980811913,
                0.9999869928746374,
                0.9999687980997938,
                0.9999810748562752,
                0.999972464312192
            ],
            [
                0.9998204719484768,
                0.9999339478710692,
                0.9998415638212037,
                0.9999485577679679,
                0.00010889694775634253,
                0.99986017797589,
                0.9999151889384845,
                0.9996646497703273,
                2.561282515988704e-06,
                0.9999646437366636
            ],
            [
                0.9999810748427369,
                0.9964063973110334,
                0.9999339478553375,
                0.00010889690871143104,
                0.9998766054251287,
                0.9999038975736144,
                0.9820137913209832,
                0.99979657309939,
                0.9999339478789471,
                0.0007096702647376553
            ],
            [
                0.999998446502801,
                0.9999910602994336,
                0.9999038975507264,
                0.999988521231875,
                0.9999945777829695,
                7.889263525778283e-06,
                0.9999980052705163,
                0.9999885212332433,
                0.9999869928715381,
                0.999997097686977
            ],
            [
                0.9999756997592666,
                0.9999599363126035,
                0.9992903296382568,
                0.9999898700114359,
                NaN,
                5.1442238107329257e-05,
                0.9988304897390242,
                0.9999810748540182,
                0.9990889489999898,
                0.9999151889892932
            ],
            [
                0.999997097687669,
                NaN,
                0.9999832985801475,
                0.9999957771645419,
                0.0015011819826002374,
                0.999989870010228,
                0.9999898700090223,
                0.0008040858203034811,
                0.9999930377412608,
                0.9999546021314799
            ],
            [
                0.9999810748562722,
                0.9999724643023462,
                0.9999646437408697,
                0.9999756997563805,
                0.9999938558246658,
                1.0129990979215566e-05,
                0.9999869928746383,
                0.9999930377454112,
                0.999975699762171,
                0.9999921107402359
            ],
            [
                0.9999038976194401,
                0.999903897573676,
                0.9996646498108372,
                6.962256249517824e-06,
                0.9997388097846623,
                0.9993736659715249,
                0.9988304898829012,
                0.9990889489917776,
                0.9995694430155098,
                0.9988304896053464
            ],
            [
                0.9999921107345936,
                0.9999930377445806,
                0.9999957771655488,
                0.9999952149066462,
                0.9999910603004991,
                0.9999984465028011,
                0.9999930377412606,
                0.9999785550541518,
                0.9999962733593831,
                0.9999952149037942
            ],
            [
                0.9998911030777935,
                0.9999687980923492,
                0.9999417087067168,
                0.00026119030663228837,
                0.9770226296300063,
                1.473898724181597e-05,
                0.9999546021205493,
                0.001325022710983726,
                0.9978172832311288,
                1.0129988564264954e-05
            ],
            [
                0.9999251537906448,
                0.9998911030518491,
                0.9999756997505811,
                0.9999957771670589,
                0.999964643736646,
                0.9997965730266685,
                0.5621765008857981,
                0.9997388096910954,
                0.9980732655712875,
                0.9999485577986358
            ],
            [
                0.99999862904312,
                0.999997097686631,
                0.9999967112493665,
                0.9999980052709919,
                0.9999977396765106,
                0.9999938558261312,
                0.9999986290431201,
                0.9999785550567036,
                0.9999967112497585,
                0.9999962733598274
            ],
            [
                0.9999151889384845,
                0.9996200154255522,
                0.00037998457282274723,
                0.9999785550592561,
                0.9997694932028607,
                0.9996646499305715,
                0.9997965730996001,
                0.9997040430071777,
                0.9996646497722788,
                0.999620015471695
            ],
            [
                0.9999910603004993,
                0.9993736658402511,
                0.9999974387180947,
                0.9999970976876691,
                0.999988521231875,
                0.9999962733607158,
                0.9999910603015656,
                0.9999646437450824,
                0.9999974387184,
                0.9999938558224687
            ],
            [
                0.9999885212264013,
                0.9999151889284097,
                0.999941708748388,
                0.9999485577924947,
                0.9999852610215433,
                0.9999869928699856,
                0.9999646437619342,
                0.9999898700041899,
                3.1201926246083686e-05,
                0.9999852610180298
            ],
            [
                0.9999967112497585,
                0.9999967112517189,
                0.9999974387184,
                0.9999898700114366,
                0.9999957771680658,
                0.9999962733598275,
                0.9999977396759716,
                0.9999982396561572,
                0.9999970976887069,
                0.9999977396757022
            ],
            [
                0.999998790134028,
                0.9999982396561572,
                0.9999982396559474,
                0.9999974387168734,
                0.9999957771665557,
                0.9999938558275958,
                0.9999938558275958,
                0.9999938558268633,
                0.9999921107402363,
                0.9999930377462405
            ],
            [
                1.1478770861211786e-05,
                0.0003799845730438433,
                0.0017007223732881781,
                0.99995993630783,
                0.00015843627199731315,
                0.0011695103429776078,
                0.9999898700078143,
                0.999989870009021,
                2.753569436805389e-05,
                0.9999910603036964
            ],
            [
                0.9999974387171787,
                0.9999984465028011,
                0.9999962733611601,
                0.9999974387184001,
                0.9999952149043647,
                0.9999982396574163,
                0.999997097688707,
                0.9999970976883609,
                0.9999970976890529,
                0.9999980052702785
            ],
            [
                0.9579122708828602,
                0.9859363743385066,
                0.9980732655945699,
                2.561283126679493e-06,
                0.9947798739171241,
                0.5621765008857981,
                3.726639284017094e-06,
                0.8933093975331751,
                0.9989677691969698,
                6.144177531381426e-06
            ],
            [
                3.726637951170554e-06,
                0.9999869928715373,
                0.9999970976890529,
                0.9999852610162717,
                2.7535704222728874e-05,
                0.9999869928653348,
                0.9999785550490341,
                0.9999930377420906,
                0.999985261018029,
                0.9999852610215454
            ],
            [
                0.9999417087344838,
                0.9998601779260615,
                0.9924227587356409,
                0.9999921107336528,
                0.9999646437493,
                0.9998204719702453,
                0.9933071506081075,
                0.9998911030907222,
                0.9998415637266933,
                0.998674977415182
            ],
            [
                0.9999974387184,
                NaN,
                0.0003353501484090505,
                0.9324533079218341,
                0.0017007222758450467,
                0.0004878571700970098,
                NaN,
                0.999769493177897,
                0.9999910603004993,
                0.0005527785913554813
            ],
            [
                1.6373762769138607e-07,
                3.0590237278838124e-07,
                0.999738809753063,
                6.475945666033422e-07,
                4.450851580540182e-07,
                6.9622545892184106e-06,
                0.9992903294489104,
                2.4300252304268445e-05,
                3.059023363231725e-07,
                1.7603438428188364e-06
            ],
            [
                0.9999970976887068,
                0.9999957771645419,
                0.9998766054398672,
                0.9999885212332438,
                0.9999898700126436,
                0.9999810748562746,
                0.9999962733620488,
                0.9999945777823231,
                0.9999938558275956,
                0.9999921107336528
            ],
            [
                4.5397884837823535e-05,
                0.13296424878721277,
                0.9975273766871613,
                0.9959298613346452,
                0.9989677692066933,
                0.03308598053388778,
                0.014063629910058556,
                0.9989677691639578,
                2.7535684521195802e-05,
                4.539785780045566e-05
            ],
            [
                0.9999785550592568,
                0.999933947863225,
                0.9999957771650454,
                NaN,
                0.9999485577924913,
                0.9999921107402363,
                0.9465966739665496,
                0.9999930377454103,
                0.9999832985701949,
                0.9999756997476879
            ],
            [
                0.9999756997534747,
                0.999975699767961,
                0.999948557780219,
                0.9999546021205469,
                0.9999251537549356,
                0.9999485577863566,
                0.9999546021421996,
                0.9978172835470484,
                0.9999599363173656,
                0.9999687980997913
            ],
            [
                0.999933947878971,
                0.9998601779261043,
                0.9997965729542457,
                0.9995121428831498,
                0.9999417087275282,
                0.9999646437450873,
                0.9999417087553242,
                0.9999599363221466,
                0.9997965730757956,
                0.9999599363221466
            ],
            [
                0.9999251537370629,
                0.9980732648938591,
                0.9989677689266319,
                2.144494585197151e-05,
                9.61024489911165e-05,
                0.9992903294551022,
                0.9991959141490645,
                0.9998204720128602,
                0.998830489463645,
                0.9997040427951766
            ],
            [
                0.9999599362934934,
                0.9999832985701935,
                0.9998204719698691,
                0.9999646437492937,
                0.9999687980886309,
                0.9999756997650627,
                0.9999687980923714,
                0.9999756997650613,
                0.9999339478238459,
                0.9999546021097243
            ],
            [
                0.9999810748562746,
                0.9999417087275205,
                0.9999885212264021,
                0.00017952800719214757,
                0.9999546021259605,
                0.9999869928746377,
                0.9968273169984623,
                0.9999869928699852,
                0.0008040861140427931,
                0.9999938558275957
            ],
            [
                6.475951069985296e-07,
                2.56128282131428e-06,
                1.9947301970813926e-06,
                1.9947301970587145e-06,
                1.012998735687278e-05,
                6.1441746016670885e-06,
                7.338213304316717e-07,
                1.3709567165386693e-06,
                1.3709568799106278e-06,
                9.422443692527585e-07
            ],
            [
                0.9999599363030525,
                0.999972464315468,
                0.9999885212291383,
                0.9999485577863506,
                0.9999756997534794,
                0.9999852610145172,
                0.9999724642990595,
                0.9999599363030484,
                0.9999546021151283,
                0.999986992876188
            ],
            [
                0.9997965729300062,
                0.9991959140489378,
                0.9998204719698691,
                0.9999151889789765,
                4.006370650070828e-05,
                0.9999038976079864,
                0.9999646437450873,
                0.9999417087553522,
                0.0031726828240763363,
                0.9999646437535082
            ],
            [
                0.9999898700114356,
                1.8925145982350146e-05,
                0.9998911030777682,
                0.9999930377445806,
                0.9999646437324474,
                0.9999832985841305,
                0.9999251537906383,
                0.9999756997621669,
                0.9999485577924947,
                0.999993855824666
            ],
            [
                5.4222215552470286e-06,
                0.9998204719488529,
                0.999999352405279,
                0.0001795280504861743,
                0.0001584362161933823,
                0.4073334000459302,
                0.7772998663336158,
                NaN,
                0.9999339478317334,
                0.9997388097536861
            ],
            [
                0.00033535002239152596,
                6.962257909412379e-06,
                0.9993736657513141,
                0.9996200154250436,
                0.9999869928699864,
                NaN,
                0.9999945777829695,
                0.9999921107355337,
                0.9999724643023389,
                0.9996200155164447
            ],
            [
                5.829126545120912e-05,
                0.9999938558246662,
                3.5356254903911806e-05,
                0.99986017797601,
                0.9999938558246657,
                0.9999921107374148,
                0.9999832985761689,
                0.9999921107392952,
                0.997199072422233,
                0.9999885212318744
            ],
            [
                0.9994472214544056,
                0.9997965730525298,
                0.9997040429713047,
                0.9999038975735949,
                0.9997388097540433,
                0.9984988180690513,
                0.9998601779260615,
                0.9997388097228543,
                6.962257909007124e-06,
                0.999925153737126
            ],
            [
                0.9999885212346117,
                0.9999756997679594,
                0.9999485577740842,
                0.9999646437324458,
                0.9999910603036961,
                0.999968798081189,
                0.9999417087136402,
                6.962253759828703e-06,
                0.9999921107336526,
                0.9999898700114359
            ],
            [
                0.9997965729539883,
                0.9993736659041573,
                0.9999038975965423,
                0.9991959140523986,
                0.9995121428236302,
                0.9999832985821387,
                0.9994472214516722,
                0.999915188928337,
                0.0004305570846689141,
                0.9997388095980908
            ],
            [
                0.9999921107383553,
                0.9999962733616046,
                0.6791787056691698,
                0.7310585727705126,
                0.9999982396572064,
                0.9999417087553242,
                0.9999910603026306,
                0.9999967112497585,
                0.9999921107392957,
                0.9999910603068932
            ],
            [
                0.9999869928715381,
                0.9982992775164212,
                0.9999724643089016,
                0.999988521233244,
                0.9999967112513268,
                4.539785776395774e-05,
                0.9999957771670589,
                0.9999687980923492,
                NaN,
                0.9999869928699874
            ],
            [
                0.9999151889890107,
                0.9999546021313623,
                0.9999810748585295,
                0.7772998611746911,
                0.9998415638399263,
                0.9999546021313646,
                0.9998204719914313,
                0.999738809784594,
                0.9997694931753952,
                6.144173869312763e-06
            ],
            [
                0.9999980052707541,
                0.9999967112509347,
                0.9999921107336536,
                0.9999952149055052,
                0.9999785550490333,
                0.9999910603047625,
                0.9999921107355337,
                0.999996273358939,
                0.9999910603068934,
                0.9999938558232012
            ],
            [
                0.0004305571818540091,
                0.9988304897444638,
                0.9947798753220525,
                0.00037998455883841997,
                0.00015843617868571992,
                0.9964063976870294,
                5.144222588097783e-05,
                0.998299277510887,
                0.9953904280663354,
                0.9990889487696777
            ],
            [
                0.9999970976876691,
                0.9999921107383557,
                0.9999977396762411,
                0.9999810748449955,
                0.9999930377462407,
                0.9999810748585343,
                0.9999945777823231,
                0.9999930377454106,
                0.9999984465018751,
                0.9999910603068942
            ],
            [
                0.9999957771675623,
                0.9999952149032237,
                0.9999885212318756,
                0.9999898700126442,
                0.9999646437577213,
                0.9999724643089074,
                0.9999910603068939,
                0.9999970976876689,
                0.9999898700078134,
                0.9999885212318752
            ],
            [
                0.9999957771650454,
                0.9999980052695652,
                0.9999980052707541,
                0.9999980052707541,
                0.9999970976876689,
                0.9999987901347491,
                0.9999982396569966,
                0.9999987901338838,
                0.9999962733611603,
                0.9999977396748938
            ],
            [
                0.9940889305718725,
                0.9999898700041909,
                0.9998204720774604,
                0.9999962733607162,
                0.9999977396765106,
                0.9999938558275958,
                0.9999938558275956,
                0.9999910603036963,
                0.9998204720981319,
                0.9999921107383549
            ],
            [
                0.9999852610180284,
                0.9999646437535052,
                0.999959936298269,
                0.9999910602994336,
                0.9999810748562736,
                0.9999646437535039,
                0.9999756997563768,
                0.9999869928761873,
                0.9999810748540167,
                0.9999339478395777
            ],
            [
                0.9998601779594521,
                0.9999599363126035,
                0.9968273165942039,
                0.9996200154693735,
                0.9999785550464765,
                0.9999810748495063,
                0.999972464315471,
                0.9997965730277694,
                0.9999151889182516,
                0.9999724642957784
            ],
            [
                0.9982992778884049,
                0.9990889486805622,
                0.9994472213893174,
                0.9820137870769663,
                0.9999646437619403,
                0.9241418152779358,
                0.9992903296200941,
                0.9968273171096518,
                0.9997388097845256,
                0.9998766054251772
            ],
            [
                0.00037998452581772203,
                0.060086656906500974,
                0.9999810748495047,
                0.9999251537460085,
                0.9998766053957809,
                0.999290329450644,
                0.0007096704472731113,
                0.9999785550439179,
                0.9995694429104336,
                0.9999546021097371
            ],
            [
                0.9999810748517622,
                0.9996646498901787,
                0.9999646437450858,
                0.999954602147594,
                0.9999599362887123,
                3.7266388397382506e-06,
                0.9999599363126054,
                0.9978172840130678,
                0.9999546021313623,
                0.8933094124452287
            ],
            [
                0.9999970976880149,
                0.9999962733602717,
                0.9859363759527028,
                0.9998601779092757,
                0.9999984465026158,
                0.9999930377454103,
                0.9999957771655489,
                0.999992110734593,
                0.9999938558253982,
                0.0004878571131036056
            ],
            [
                0.9999417087483918,
                0.9999869928761874,
                1.8925150495232307e-05,
                0.9999646437408746,
                0.999986992873088,
                0.9999869928668845,
                0.9999970976887068,
                0.9999910603047624,
                0.9999852610145151,
                0.9999785550515924
            ],
            [
                0.9999957771645419,
                0.9999910603047625,
                0.9999852610110019,
                0.9999945777829695,
                0.8807970889295663,
                0.9999962733616046,
                0.9999962733593832,
                0.00010889694805897948,
                0.9999930377462403,
                0.9999970976883609
            ],
            [
                0.9999646437493,
                0.9999785550413627,
                0.9999898700041907,
                0.9999869928730867,
                0.9999785550515911,
                0.9999938558224688,
                0.9999785550490354,
                0.9999251537727715,
                0.9999852610110019,
                0.999975699753477
            ],
            [
                0.999983298576167,
                0.9999785550592574,
                0.9999957771650454,
                0.9999962733602717,
                0.9999921107336527,
                0.9999885212346133,
                0.9999967112501507,
                0.9999938558239333,
                0.9999785550515979,
                0.9999885212305079
            ],
            [
                0.9999938558253988,
                0.9999852610145155,
                0.999993855823934,
                0.9999921107383551,
                0.999989870011436,
                0.9999910603058291,
                0.9999970976883608,
                0.999903897619401,
                0.9999930377445806,
                4.785092783319532e-06
            ],
            [
                0.9999785550592568,
                0.9998911031037632,
                0.9994472214565281,
                0.9999151889893673,
                0.00017952796514144652,
                0.9999687980774743,
                0.9998601779093165,
                0.999925153745996,
                0.0003353500239428408,
                0.9999251537728298
            ],
            [
                0.0001398221069810767,
                0.9999974387187054,
                0.9999930377462402,
                0.9999967112493665,
                0.9999970976890531,
                0.9998601779095057,
                0.999998446502801,
                0.9999962733593832,
                0.0001584361778235809,
                0.9999977396754327
            ],
            [
                0.9999967112517189,
                0.9999921107402361,
                0.9999962733607161,
                0.0002611902435323777,
                0.9999977396746244,
                0.9999974387187053,
                0.9994472214548558,
                0.9999967112493666,
                0.9999952149043646,
                0.9999952149066464
            ],
            [
                0.9999962733602717,
                0.9999945777797375,
                0.9999930377420908,
                0.9999952149043647,
                0.9999921107374147,
                0.9999910603004993,
                0.9999898700041906,
                0.9999756997563743,
                1.7603436330091044e-06,
                0.9999957771645422
            ],
            [
                0.00015843623477548052,
                0.998073265587406,
                0.9820137913867819,
                0.9149009613738741,
                6.962254589528684e-06,
                0.9770226309262802,
                0.957912268179438,
                0.9991959140523986,
                0.999954602120557,
                0.99929032971227
            ],
            [
                0.9999952149055054,
                8.939696303758459e-06,
                0.9999885212346129,
                0.9999810748540193,
                0.9999898700066053,
                0.9999910603026321,
                0.9999885212332442,
                0.9999938558224687,
                0.9999910603047624,
                0.9999957771665557
            ],
            [
                0.9999485577863694,
                0.9999417087553318,
                0.9999785550515884,
                0.9999339478474896,
                0.9997694933398059,
                0.9999687980960721,
                0.9999869928761876,
                0.9999756997476829,
                0.9999417087275321,
                0.9999832985701931
            ]
        ]
    },
    {
        "q_id": "10698_mmlu_computer science",
        "cot_ids": [
            0,
            2,
            3,
            4,
            5,
            7,
            8,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            40,
            41,
            43,
            44,
            46,
            48,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            71,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            102,
            103,
            104,
            106,
            107,
            108,
            110,
            111,
            112,
            113,
            114,
            117,
            118,
            119,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.144220138000259e-05,
                1.3709575337016483e-06,
                4.222834451254188e-06,
                2.2603251062013478e-06,
                2.9023112930949896e-06,
                6.144173136455602e-06,
                1.99472924590571e-06,
                1.5534983101478522e-06,
                8.315278294072958e-07,
                2.5612834319655406e-06
            ],
            [
                0.9999038975735753,
                0.9999785550567011,
                0.9990889486584158,
                0.9998204720125913,
                0.9820137868466708,
                0.999373665822981,
                0.9999869928668841,
                0.9997965729297487,
                0.9999417087136322,
                0.9998415637077078
            ],
            [
                0.9999546021421873,
                0.9999339478317593,
                0.9999546021097171,
                0.9999724643121868,
                0.9999810748562732,
                0.9999417087205841,
                0.9999810748472479,
                0.9996646497308322,
                0.9997388097531997,
                0.9999910603015648
            ],
            [
                0.9999930377420907,
                0.999995214906076,
                0.9999930377462406,
                0.9999898700053977,
                0.9999952149072168,
                0.9999952149043647,
                0.9999945777816768,
                0.9999898700066064,
                0.9999938558232011,
                0.9999952149043647
            ],
            [
                0.999975699756372,
                0.999620015423684,
                0.9999832985701935,
                0.9999921107355334,
                0.9999599363030525,
                0.9999756997534786,
                0.999983298578157,
                0.9999417087275172,
                0.999978555049031,
                0.9999852610162717
            ],
            [
                0.999989870006605,
                0.999975699753474,
                0.999978555046473,
                0.9999987901338837,
                0.9999852610197849,
                0.999995214903794,
                0.9999869928653335,
                0.9999898700102279,
                0.9999898700078126,
                0.9999785550566999
            ],
            [
                0.9999151889283604,
                0.9994472212593662,
                0.9997694932299975,
                0.9995694430136309,
                0.9998911030907721,
                0.9999417087275282,
                0.9999687980811902,
                0.9994472213235218,
                0.9971990723949199,
                0.9998766054398833
            ],
            [
                0.9999646437619328,
                0.9999898700102277,
                0.9999898700041902,
                0.9994472212555717,
                0.9996200154254749,
                0.99986017787593,
                0.7549149923816048,
                0.9997965729541156,
                0.9999785550567005,
                0.9999546021205374
            ],
            [
                0.9997388096913766,
                0.9999646437535097,
                0.999948557798623,
                0.9999869928761869,
                0.9998204720124919,
                0.9999756997679594,
                0.9999485577679555,
                0.9999599363173639,
                0.9999599363221466,
                0.9999646437535052
            ],
            [
                6.144176065012512e-06,
                2.260324028306588e-06,
                4.7850956352353935e-06,
                9.422442569097361e-07,
                1.5534971989568904e-06,
                2.2603234894560207e-06,
                1.1478772229551402e-05,
                3.7266383954560706e-06,
                1.8925157264023994e-05,
                2.144495607789177e-05
            ],
            [
                0.999981074844992,
                0.9999756997563736,
                0.9999756997592666,
                0.9998766053810263,
                0.9998766054252095,
                0.9999687980960721,
                0.9999852610162715,
                0.9999417087344882,
                0.9998415637833618,
                0.9999832985821377
            ],
            [
                0.9999930377429208,
                0.999996273358939,
                0.9999945777810304,
                0.9999986290423029,
                0.9999977396759716,
                0.9999970976887068,
                0.9999962733598274,
                0.9999980052707541,
                0.9999967112521106,
                0.9999977396751633
            ],
            [
                2.260325375572331e-06,
                9.422450431912e-07,
                1.9947301970587145e-06,
                2.561281905376098e-06,
                4.785094494576774e-06,
                1.3007123811229494e-05,
                5.422218969720291e-06,
                2.2603245672867952e-06,
                1.7603432132784448e-06,
                1.2098656835136636e-06
            ],
            [
                0.0003799845233193367,
                2.7535700939406174e-05,
                4.0063706471413514e-05,
                4.5397890268254766e-05,
                3.7266396066354017e-06,
                3.5356254898252494e-05,
                6.605217605747206e-05,
                9.610242625969935e-05,
                7.484625388309796e-05,
                0.003172683159117483
            ],
            [
                0.9999546021151331,
                0.999876605410471,
                0.999975699767961,
                0.9999687980923468,
                0.9999869928730871,
                0.9999898700041902,
                0.9999885212291378,
                0.9999832985741745,
                0.9999869928715355,
                0.999972464315473
            ],
            [
                0.009708476839631754,
                0.00017952796543137923,
                0.004609571123891522,
                9.610239197310875e-05,
                0.0007096705366007463,
                0.0005527785311554039,
                0.3486451285660856,
                0.00043055703053385716,
                0.731058584489497,
                0.0002034268987957964
            ],
            [
                0.9999945777810302,
                0.9999970976883609,
                0.9999921107383549,
                0.9999756997621719,
                0.999995777166052,
                0.9999885212318752,
                0.9999930377412604,
                0.9999910603047619,
                0.999993855826863,
                0.9999938558261304
            ],
            [
                0.9999599363078128,
                0.9999921107336526,
                0.9999967112497584,
                0.9999910603058274,
                0.9999339478238364,
                0.9999869928761873,
                0.9999938558261304,
                0.9999945777823229,
                0.9999930377445803,
                0.9999885212346113
            ],
            [
                0.00048785717338945765,
                4.006370647870077e-05,
                5.1442207381454816e-05,
                2.144494329566774e-05,
                0.0002611903562048291,
                5.829128612227351e-05,
                0.02595735432504323,
                0.010986943571749968,
                0.010986943774149289,
                0.0024726226863003623
            ],
            [
                0.9999785550464765,
                0.9999724643089025,
                0.9999957771645419,
                0.999964643732444,
                0.9999151889789185,
                0.9999898700090204,
                0.9999485577802159,
                0.9999687980960685,
                0.9999832985821381,
                0.9998601779593259
            ],
            [
                0.9999977396754327,
                0.9999970976866309,
                0.9999977396765105,
                0.9999898700126431,
                0.9999967112493664,
                0.9999898700090203,
                0.9999986290429566,
                0.9999938558224684,
                0.9999980052693274,
                0.9999982396574162
            ],
            [
                0.9999251537907204,
                0.9999785550516025,
                0.9999417087275961,
                0.9998204719707913,
                0.9999885212318759,
                0.999941708748396,
                0.9999599363221545,
                0.9999687980737552,
                0.9999852610215443,
                0.9999898700114376
            ],
            [
                0.999941708713625,
                0.9999151889384531,
                0.989013055234094,
                0.9998766054692795,
                0.9999151889789025,
                0.9999417087483609,
                0.9999962733593831,
                0.9999151889687937,
                0.999954602147594,
                0.9999832985721833
            ],
            [
                1.8925141467059383e-05,
                8.939694171135975e-06,
                6.9622554185195676e-06,
                1.4738985483128763e-05,
                7.484624484541108e-05,
                4.785092783149804e-06,
                2.9023130228444433e-06,
                1.3007133114886634e-05,
                0.00010889693460193567,
                0.00010889694735546742
            ],
            [
                0.9999910602994336,
                0.9999599362982671,
                0.9999910603047624,
                0.9999974387168733,
                0.999992110740236,
                0.999991060304762,
                0.9999921107345936,
                0.9999832985821392,
                0.9999756997679633,
                0.9999785550515903
            ],
            [
                0.9999921107392954,
                0.9999417087344838,
                0.9999810748472484,
                0.9999921107402359,
                0.9999832985841282,
                0.9999938558239334,
                0.9999810748562741,
                0.9999339478475102,
                0.9999957771680656,
                0.9999898700066052
            ],
            [
                0.999975699767958,
                0.9997388096906166,
                0.9998911030388706,
                0.9999885212332431,
                0.9999151889182126,
                0.9999921107383548,
                0.9999724643023353,
                0.9998766054692149,
                0.9999417087553126,
                0.9999756997534754
            ],
            [
                0.9999852610180282,
                0.9999852610232991,
                0.9999724643121848,
                0.9999038975506768,
                0.9998601779592263,
                0.9999485577679469,
                0.9998766053956554,
                0.9998601779592263,
                0.9999251537995099,
                0.999972464312183
            ],
            [
                0.9999852610180284,
                0.9999785550541453,
                0.9999938558224682,
                0.9999921107345929,
                0.9999546021367908,
                0.9999930377462403,
                0.9999869928699852,
                0.9999869928668843,
                0.9999852610127575,
                0.9999938558261305
            ],
            [
                0.9999810748517589,
                0.9999869928653335,
                0.9999417087344686,
                0.9999546021313577,
                0.9999957771655487,
                0.9999810748472479,
                0.9999974387187052,
                0.9999810748540149,
                0.9999910603015647,
                0.9999910603026303
            ],
            [
                0.9996200155160689,
                0.9999724642957725,
                0.996827317471938,
                0.9999151889890027,
                0.9999646437408591,
                0.99992515374599,
                0.9999832985721828,
                0.9999251537460603,
                0.9995694430145703,
                0.9994472214580716
            ],
            [
                3.2887482812506295e-06,
                8.315283249923769e-07,
                2.7535691078121046e-05,
                2.7535684514885004e-05,
                4.5397863124032274e-05,
                8.315279284657531e-07,
                3.7266379512518984e-06,
                2.561281294558644e-06,
                1.0129992185539456e-05,
                7.338211554464836e-07
            ],
            [
                0.9999898700078128,
                0.9999869928699847,
                0.9999852610127579,
                0.9999832985721836,
                0.9999869928668851,
                0.9999885212264011,
                0.9999952149049349,
                0.9999898700102279,
                0.9999485577924947,
                0.9999251537995464
            ],
            [
                0.9997694933402419,
                0.9924227574785334,
                0.9980732651208626,
                0.9999339478317386,
                0.9994472213222998,
                0.9924227591768542,
                0.9997040427593981,
                0.9959298624067974,
                0.9994472213225892,
                0.9999599363173749
            ],
            [
                0.9999810748472484,
                0.9999546021367783,
                0.9999546021421944,
                0.9998911030777318,
                0.999968798077472,
                0.9998601779260615,
                0.9999646437450721,
                0.9990889487712671,
                0.999972464315468,
                0.9999885212264013
            ],
            [
                0.9999930377412605,
                0.9999852610232999,
                0.9999930377412606,
                0.9999952149060758,
                0.9999962733602716,
                0.99999862904312,
                0.9999977396759716,
                0.9999980052709919,
                0.9999962733620487,
                0.9999977396762411
            ],
            [
                0.9999885212359804,
                0.9999980052705163,
                0.9999646437619537,
                0.9999898700114359,
                0.9999921107383549,
                0.9999957771655487,
                0.9999885212359798,
                0.9999930377420906,
                0.9999921107374145,
                0.9999970976890528
            ],
            [
                0.9999977396748938,
                0.9999957771650453,
                0.9999967112517187,
                0.9999898700102282,
                0.9999982396572065,
                0.9999898700102279,
                0.9999967112521109,
                0.9999687980923492,
                0.9999952149072165,
                0.9999885212346119
            ],
            [
                0.9999151889688683,
                0.9999984465018751,
                0.9999898700053976,
                0.9999957771650453,
                0.999995777166052,
                0.9999957771675623,
                0.9999952149060757,
                0.9999785550541442,
                0.999995777166052,
                0.9999885212332431
            ],
            [
                0.999876605395702,
                0.9992903297441372,
                0.9999785550490315,
                0.9994472213267377,
                0.9999599362982811,
                0.9999810748562732,
                0.9999832985801492,
                0.9999898700126431,
                0.9999546021151355,
                0.9999251537459726
            ],
            [
                0.9999339478631961,
                0.9999724642990576,
                0.9999810748427356,
                0.9999885212277693,
                0.9999930377412606,
                0.9999852610127579,
                0.9999646437450735,
                0.9999885212277717,
                0.9999885212277704,
                0.9999810748427356
            ],
            [
                0.9999930377445804,
                0.999992110737415,
                0.9999832985841286,
                0.9999832985841296,
                0.9999687980960696,
                0.9999810748427396,
                0.9999921107392953,
                0.9999957771680656,
                0.9999898700053974,
                0.9999957771670588
            ],
            [
                0.9999945777810302,
                0.9999945777790914,
                0.9999962733602717,
                0.9999646437493086,
                0.9999885212332431,
                0.9999852610145146,
                0.9999852610110009,
                0.999991060300499,
                0.9999921107402358,
                0.9999910603047616
            ],
            [
                0.9999945777823229,
                0.9999885212359798,
                0.9999952149049349,
                0.9999952149032236,
                0.9999832985701927,
                0.9999852610180288,
                0.9999832985841305,
                0.9999921107383547,
                0.9999910603047619,
                0.9999945777784449
            ],
            [
                3.2887486729337966e-06,
                1.0677033791495609e-06,
                2.902311985079115e-06,
                1.5534983099564047e-06,
                1.2098662604192665e-06,
                1.5534973841705173e-06,
                6.14417313680765e-06,
                1.3709575336947905e-06,
                5.043472879481655e-07,
                2.561282515853595e-06
            ],
            [
                0.9999869928715361,
                0.9999646437492881,
                0.9999930377445804,
                0.9999785550515878,
                0.9999898700066053,
                0.9999962733602716,
                0.9999687980849095,
                0.9999599363173789,
                0.999996273360716,
                0.9999898700078128
            ],
            [
                0.9999546021151456,
                0.9999910603004994,
                0.9999151889485933,
                0.9999646437408697,
                0.9999952149066461,
                0.9996646499314886,
                0.9999687980886287,
                0.9999957771660521,
                0.9999810748427375,
                0.9999724643023379
            ],
            [
                0.9999921107392954,
                0.9999810748427365,
                0.9999938558239334,
                0.999841563726774,
                0.9999756997679573,
                0.9999687980923492,
                0.9999952149049348,
                0.9999852610180288,
                0.9999852610110019,
                0.9999687980811937
            ],
            [
                0.9999898700078128,
                0.9999970976887068,
                0.9999921107402358,
                0.9999957771675623,
                0.9999852610215424,
                0.9999898700114358,
                0.9999930377420904,
                0.9999898700090203,
                0.9999984465026158,
                0.9999962733616043
            ],
            [
                0.9999546021421827,
                0.9999417087275282,
                0.9999417087205764,
                0.9998601779759897,
                0.9999038975506481,
                0.9999724643089025,
                0.9995121428801128,
                0.9999151889384531,
                0.9999151889687703,
                0.9999251537460085
            ],
            [
                0.9999952149072167,
                0.9999930377420906,
                0.9999852610232999,
                0.9999962733620487,
                0.9999982396574162,
                0.999954602142192,
                0.9999977396751633,
                0.9999832985741738,
                0.9999910603004994,
                0.9999339478238608
            ],
            [
                0.9999756997592771,
                0.9999885212277707,
                0.9999785550566999,
                0.9999724643121868,
                0.9999785550567011,
                0.9999898700126437,
                0.999994577780384,
                0.9999724642957742,
                0.9999724643089064,
                0.9999546021097317
            ],
            [
                0.9980732653711484,
                0.9999832985821384,
                0.9999687980960721,
                0.9999417087275694,
                0.9999687980737492,
                0.9999485577740932,
                0.9999921107355346,
                0.9998766054545895,
                0.9999785550439179,
                0.9999339478238508
            ],
            [
                0.9999832985761654,
                0.9999852610145148,
                0.9999852610127573,
                0.9999599362982671,
                0.9999852610197855,
                0.999876605366419,
                0.9999930377429205,
                0.9999945777816769,
                0.9999832985721839,
                0.9999910603026309
            ],
            [
                0.9999938558275955,
                0.9999938558224682,
                0.999993855826863,
                0.9999945777829693,
                0.9999945777816768,
                0.9999930377429203,
                0.9999930377437503,
                0.9999930377412606,
                0.9999869928761876,
                0.9999930377412605
            ],
            [
                0.9999646437366474,
                0.9999485577618361,
                0.999985261021543,
                0.9999785550439183,
                0.9999417087066845,
                0.99994170874838,
                0.9999930377429205,
                0.999988521229138,
                0.9999785550515924,
                0.9999724643187523
            ],
            [
                0.9999417087414281,
                0.9999885212305062,
                0.9999756997592695,
                0.9999921107402358,
                0.9999945777816766,
                0.9999251537995278,
                0.9999832985781563,
                0.999991060303696,
                0.999988521233243,
                0.9998415638023519
            ],
            [
                0.99849881780172,
                0.817574478416099,
                0.9999546021098639,
                0.9991959141615512,
                0.9988304894803717,
                0.9995694428628995,
                0.9953904282287174,
                0.9982992778623146,
                0.9996646497359936,
                0.9988304896673577
            ],
            [
                0.9995694428604445,
                0.9998415637457365,
                0.9998204720554098,
                0.9997694932027467,
                0.9997965730752333,
                0.9706877667577429,
                0.9999251537816621,
                0.9998911030388207,
                0.9995121428817306,
                0.9999646437492907
            ],
            [
                1.5534975692683091e-06,
                1.7603434230537046e-06,
                5.8291251564902706e-05,
                6.9622554187981796e-06,
                1.1478766746777263e-05,
                4.2228319339950885e-06,
                1.7603430034311638e-06,
                4.222834954403545e-06,
                3.2887478889962107e-06,
                5.422218969128516e-06
            ],
            [
                0.9999938558224686,
                0.9999785550567043,
                0.9999945777790912,
                0.9999485578047708,
                0.9999852610197874,
                0.9999898700102283,
                0.9999785550464791,
                0.9999898700053977,
                0.9999930377412607,
                0.9999852610145148
            ],
            [
                0.9999485577986026,
                0.9999485577740902,
                0.999954602120557,
                0.9999756997476821,
                0.9997965729782308,
                0.9999756997505788,
                0.9999885212277698,
                0.9999785550592568,
                0.9999852610145148,
                0.999972464318746
            ],
            [
                0.9998911031297076,
                0.999195914158979,
                0.9999417087067083,
                0.999088948794791,
                0.9933071493357575,
                0.9998415637647566,
                0.9978172832007032,
                0.9988304896577024,
                0.9924227595095149,
                0.992422760199348
            ],
            [
                0.9999869928715355,
                0.9999921107355336,
                0.9999921107374146,
                0.9999898700114358,
                0.9999962733593831,
                0.9999977396754327,
                0.999988521229139,
                0.9999945777790911,
                0.9999852610233005,
                0.999993855826863
            ],
            [
                0.9999898700114355,
                0.9999724642957752,
                0.9999898700041899,
                0.9999724642957828,
                0.999993855826863,
                0.9999898700114355,
                0.999992110736474,
                0.9999952149049349,
                0.9999962733611603,
                0.999995214904935
            ],
            [
                0.9999921107355337,
                0.9999921107374147,
                0.9999852610127579,
                0.9999952149072165,
                0.9999599363173692,
                0.9999938558246658,
                0.9999785550541442,
                0.999993855823201,
                0.9999832985841296,
                0.999996273360716
            ],
            [
                0.9999869928699853,
                0.9999957771665554,
                0.9999957771660523,
                0.9999957771645418,
                0.9999910603068939,
                0.9999756997505795,
                0.999989870009021,
                0.9999898700114355,
                0.9999930377420905,
                0.9999546021313669
            ],
            [
                0.9999546021205469,
                0.9997040427601902,
                0.9999687980849142,
                0.9999251537727529,
                0.9997388097529262,
                0.9999687980923515,
                0.999964643732433,
                0.9999251537906317,
                0.9999485578047399,
                0.9999339478553327
            ],
            [
                0.9998415637644292,
                0.9999898700090208,
                0.9999646437408649,
                0.9999898700066052,
                0.9999646437535114,
                0.9998766054545734,
                0.9999646437450763,
                0.9999485577740962,
                0.9998601779592466,
                0.9994472212578227
            ],
            [
                0.9997694931750128,
                0.9999687980774685,
                0.9999910603068931,
                0.9997965730024289,
                0.9999832985701924,
                0.9999485577924765,
                0.9999724643088999,
                0.9997388096597697,
                0.9999832985801475,
                0.9999646437619418
            ],
            [
                0.9998911030390022,
                0.999972464312183,
                0.9999898700126427,
                0.9999646437619387,
                0.9999646437408605,
                0.9999485577863506,
                0.9999869928684344,
                0.999978555054146,
                0.9997694932305475,
                0.9998601779093368
            ],
            [
                0.9999687980849072,
                0.999738809721874,
                0.9999038975507474,
                0.9999724643023409,
                0.9999251537995218,
                0.9999852610110006,
                0.9998601779260615,
                0.9999339478553727,
                0.9997965729297074,
                0.999948557761846
            ],
            [
                0.9999962733589389,
                0.9999938558232008,
                0.9999970976873229,
                0.9999970976880148,
                0.9999852610145151,
                0.9999921107345932,
                0.9999945777790912,
                0.9999977396751633,
                0.9999869928668849,
                0.9999945777790912
            ],
            [
                0.9999910602994336,
                0.9999599362887179,
                0.9999546021313694,
                0.9999785550592574,
                0.9999756997650643,
                0.9999869928668841,
                0.9999957771680661,
                0.9998766053809797,
                0.9999869928684375,
                0.9999485577802313
            ],
            [
                0.9999898700126428,
                0.9999810748585268,
                0.9999910603005,
                0.9999967112501505,
                0.9999810748449907,
                0.9999910603047617,
                0.9999970976890528,
                0.9999957771655487,
                0.9999852610215422,
                0.9999980052705163
            ],
            [
                0.9997388096905482,
                0.9990889487676644,
                0.999968798081195,
                0.999925153745984,
                0.9995121429415057,
                0.9999852610162717,
                0.9998911030388452,
                0.9999852610162713,
                0.9999756997679626,
                0.9998204720980665
            ],
            [
                0.9999910603015646,
                0.999975699756372,
                0.9999852610233005,
                0.9999339478553375,
                0.9999962733616043,
                0.9999756997679566,
                0.9999810748427365,
                0.999948557780219,
                0.9999810748449914,
                0.9999898700066052
            ],
            [
                1.8925145982866508e-05,
                7.889263524615903e-06,
                4.222831934248571e-06,
                1.3007123809289414e-05,
                2.7535684524701807e-05,
                5.422221554482653e-06,
                2.7535684530912436e-05,
                4.5397852394305204e-05,
                8.939697368663308e-06,
                1.892514823488397e-05
            ],
            [
                0.9999945777790911,
                0.9999945777803843,
                0.9999921107336528,
                0.9999930377462403,
                0.9999938558232011,
                0.9999952149037941,
                0.9999938558246657,
                0.9999785550413609,
                0.9999952149066462,
                0.9999852610162715
            ],
            [
                2.561282821209454e-06,
                4.222831934248571e-06,
                2.260325375650449e-06,
                4.222832437677995e-06,
                1.7603427936183298e-06,
                1.5534979397677313e-06,
                5.422220908703723e-06,
                1.2098653950551882e-06,
                3.288750633518874e-06,
                2.561283126679493e-06
            ],
            [
                2.7535684521195802e-05,
                1.4738978451438343e-05,
                6.605212886014267e-05,
                3.5356246475137275e-05,
                1.012998977198894e-05,
                0.00013982214056894142,
                1.012999339309804e-05,
                1.300712381094558e-05,
                3.726639727994339e-06,
                4.785096775842062e-06
            ],
            [
                2.9023112929973233e-06,
                4.222831934156396e-06,
                3.2887502409830123e-06,
                2.260323758598623e-06,
                2.5612819053166966e-06,
                3.7266410608720178e-06,
                1.7603430034439723e-06,
                1.9947301970451086e-06,
                1.7603427935678977e-06,
                4.222834451169694e-06
            ],
            [
                0.9999485577802343,
                0.9999832985701931,
                0.9998766053811413,
                0.9999485577679644,
                0.9990889490099503,
                0.9995694429132268,
                0.9998766054399318,
                0.9998601778928643,
                0.999512142827462,
                0.9999546021151355
            ],
            [
                0.999948557798623,
                0.9964063977487227,
                0.9999251537995464,
                0.9997694932301049,
                0.9999938558224684,
                0.9999810748540153,
                0.9992903295398066,
                0.9997040428300853,
                0.9997965730994314,
                0.9999417087275244
            ],
            [
                0.9999930377454106,
                0.9999724642957795,
                0.9999785550592607,
                0.9999970976869769,
                0.9999885212318752,
                0.9999417087136402,
                0.9999980052702785,
                0.9999898700114358,
                0.9999852610215436,
                0.9999977396748938
            ],
            [
                0.9999898700041898,
                0.9999974387180947,
                0.999985261021544,
                0.9999910603015648,
                0.9999910603015656,
                0.9999957771670589,
                0.9999967112521109,
                0.9999910603015656,
                0.9999756997592687,
                0.9999898700102282
            ],
            [
                0.9999910603068933,
                0.9999724643089107,
                0.9999038975507166,
                0.9998204720771078,
                0.999994577782323,
                0.9999832985761683,
                0.9999832985781607,
                0.9999339478789758,
                0.9999957771660521,
                0.9999832985781584
            ],
            [
                0.9998601779094202,
                0.9999038976194807,
                0.9998766054104549,
                0.9996200155617695,
                0.9968273169049453,
                0.9999724642990537,
                0.9998601779426642,
                0.9999546021367807,
                0.9998601778760948,
                0.9999417087553055
            ],
            [
                0.9999921107345933,
                0.9999898700102279,
                0.9999898700126431,
                0.9999898700090211,
                0.9999930377437505,
                0.9999952149066462,
                0.9999930377445804,
                0.9999974387177892,
                0.9999852610162724,
                0.9999970976880148
            ],
            [
                0.9999339478789913,
                0.9999785550439201,
                0.9998415637268547,
                0.9998601779762216,
                0.9999756997679626,
                0.9999417087275438,
                0.9998415638404197,
                0.9999417087205921,
                0.9999869928730875,
                0.9968273167495746
            ],
            [
                0.999997438716568,
                0.9999945777810302,
                0.9999970976880148,
                0.9999970976876689,
                0.9999885212346113,
                0.9999970976883608,
                0.9999970976876689,
                0.999992110740236,
                0.9999945777784447,
                0.9999970976876689
            ],
            [
                0.9999785550515867,
                0.9999938558275956,
                0.9999885212264011,
                0.9999930377437503,
                0.9999832985761665,
                0.9999952149037941,
                0.9999921107374143,
                0.9999646437324344,
                0.9999898700053976,
                0.9999967112505425
            ],
            [
                1.7603432133136672e-06,
                9.422449308566668e-07,
                1.3709573702722555e-06,
                1.067703251864202e-06,
                1.760343423160973e-06,
                2.902312677104321e-06,
                8.939698435454571e-06,
                7.889263525663481e-06,
                6.47594952595231e-07,
                1.553498310118888e-06
            ],
            [
                1.994729245917502e-06,
                2.561281905376098e-06,
                6.1441767990323395e-06,
                1.3709572068354007e-06,
                3.2887490653647836e-06,
                3.726639728348526e-06,
                4.785094494463623e-06,
                4.785096205930373e-06,
                2.5612812947077304e-06,
                4.785093353874907e-06
            ],
            [
                0.9999938558239334,
                0.999994577780384,
                0.9999885212359799,
                0.9999910603058276,
                0.9999785550490321,
                0.9999962733598274,
                0.9999785550515897,
                0.9999869928730869,
                0.999989870011436,
                0.9999869928668849
            ],
            [
                0.9999910603047618,
                0.9999417087205882,
                0.9999970976873229,
                0.9999962733593832,
                0.9999852610197857,
                0.9999910603015648,
                0.9999785550464758,
                0.9999921107383547,
                0.9999687980923503,
                0.9999852610232999
            ],
            [
                0.9999785550515891,
                0.9999687980960674,
                0.999447221327831,
                0.9999810748540273,
                0.9999038975392831,
                0.9999687980997854,
                0.999978555041368,
                0.99997855505926,
                0.9999151889789598,
                0.999933947823881
            ],
            [
                0.9999687980774685,
                0.999664649850791,
                0.9999646437535068,
                0.9999485577618152,
                0.9999251537638318,
                0.9999339478789513,
                0.9997040428657001,
                0.9991959140555787,
                0.9997965730509908,
                0.9999810748562736
            ],
            [
                0.9999898700126433,
                0.9999938558232009,
                0.9999970976887068,
                0.9999898700126428,
                0.9999151889182762,
                0.9999885212277695,
                0.9999921107364745,
                0.9999962733620487,
                0.9999930377420905,
                0.999964643732436
            ],
            [
                0.999959936288716,
                0.9999417087066845,
                0.9998204720982624,
                0.9999832985841286,
                0.9999646437366474,
                0.9999885212346113,
                0.9999151889586393,
                0.9999910603004989,
                0.9999810748495034,
                0.9999756997534733
            ],
            [
                1.0129994600638342e-05,
                8.939700566435704e-06,
                7.889266346603015e-06,
                2.1444943300075563e-05,
                3.72664061671159e-06,
                1.473898021457511e-05,
                1.4738981965808603e-05,
                6.1441746016670885e-06,
                2.4300232020075242e-05,
                8.939697368842181e-06
            ],
            [
                0.9999852610127573,
                0.9999898700114355,
                0.9999938558275954,
                0.9999832985801465,
                0.9999945777810302,
                0.9999967112501505,
                0.9999832985841289,
                0.999975699759271,
                0.9999957771645419,
                0.9999724642990556
            ],
            [
                0.9998766054401024,
                0.9999852610127579,
                0.9999756997476807,
                0.9999785550541442,
                0.9999930377412605,
                0.9999687980737504,
                0.9999952149060758,
                0.9999785550592557,
                0.9999885212291378,
                0.9999945777816767
            ],
            [
                0.9999987901344607,
                0.9999974387180947,
                0.9999967112493664,
                0.9999970976873228,
                0.9999921107383548,
                0.9999974387171787,
                0.9999967112501504,
                0.9999982396567867,
                0.9999952149066461,
                0.9999980052698029
            ],
            [
                0.9999810748540162,
                0.9998766054545571,
                0.9999938558268628,
                0.9999756997563729,
                0.9999339478238459,
                0.9999756997505774,
                0.9999921107383548,
                0.9997965729540327,
                0.9999038975965423,
                0.999985261021543
            ],
            [
                2.144494329348333e-05,
                3.2887490653408545e-06,
                2.5612834320214477e-06,
                1.5534981249574276e-06,
                3.288749065077638e-06,
                5.422220908762902e-06,
                7.338209805170655e-07,
                2.5612831266608576e-06,
                5.422219615967477e-06,
                1.0677027427471959e-06
            ]
        ]
    },
    {
        "q_id": "10693_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                2.2603245672867952e-06,
                2.2603251061458426e-06,
                5.422219616085833e-06,
                3.726638839833152e-06,
                2.9023133690425823e-06,
                4.22283294098842e-06,
                1.012998855982425e-05,
                3.7266383955611403e-06,
                6.9622562492265485e-06,
                1.994729721482609e-06
            ],
            [
                9.610242468097356e-05,
                4.7850950649408664e-06,
                2.902312677060767e-06,
                2.5612831267086116e-06,
                1.0677032518785256e-06,
                3.2887494573232236e-06,
                3.726637951170554e-06,
                2.2603248367656408e-06,
                3.726640172503764e-06,
                1.99472900813862e-06
            ],
            [
                7.889261644982674e-06,
                2.144494074076854e-05,
                6.144172404587612e-06,
                6.605212886590941e-05,
                5.422217030707961e-06,
                2.1444945854624007e-05,
                7.889265407090955e-06,
                1.0129994602057158e-05,
                6.1441746018123775e-06,
                0.00023050668733764877
            ],
            [
                2.260325375650449e-06,
                4.222832941034507e-06,
                2.2603251062013478e-06,
                1.9947292458930106e-06,
                7.889259763469998e-06,
                1.0677027427340866e-06,
                4.222832941072913e-06,
                2.561281600049467e-06,
                5.422221554758815e-06,
                6.962255419728997e-06
            ],
            [
                7.889264465555602e-06,
                8.315278294072958e-07,
                1.3709573702722555e-06,
                7.338208930421943e-07,
                2.5612812947240366e-06,
                1.0129988563546333e-05,
                1.067703251864202e-06,
                3.7266406167827664e-06,
                1.3709572068478697e-06,
                3.288748673265808e-06
            ],
            [
                8.315283250371857e-07,
                1.3007131565376817e-05,
                2.4300246521474893e-05,
                6.144172404520556e-06,
                6.144176799283803e-06,
                1.4738978454950406e-05,
                1.4738983727900215e-05,
                5.422217676979575e-06,
                1.0129987356375273e-05,
                5.422218969720291e-06
            ],
            [
                1.0129995809763438e-05,
                4.0063692159249626e-05,
                4.785095065093186e-06,
                8.481108161082634e-05,
                2.9023109472244114e-06,
                1.473898372822193e-05,
                1.1478765388314311e-05,
                5.422217677078203e-06,
                0.00020342707003818795,
                6.144176066521288e-06
            ],
            [
                9.422450431989127e-07,
                7.889259763326495e-06,
                2.5612816000331606e-06,
                4.222833444467892e-06,
                2.9023133689924295e-06,
                4.78509563550957e-06,
                2.2603234895053587e-06,
                7.889266347456862e-06,
                2.902313023101807e-06,
                5.422217677078203e-06
            ],
            [
                1.1478765387416494e-05,
                0.97702262871007,
                0.962673116537899,
                0.002182716509746121,
                0.9046505428129514,
                2.1444958637941764e-05,
                0.9579122683296283,
                1.5534983101478522e-06,
                3.726639284017094e-06,
                2.561281600049467e-06
            ],
            [
                1.1478766757049986e-05,
                2.9023123311583482e-06,
                7.889261644631091e-06,
                2.561283432005142e-06,
                2.4300243622255085e-05,
                4.785093353874907e-06,
                1.4738983723235332e-05,
                1.2098662604126641e-06,
                7.889265406904397e-06,
                6.962257909323729e-06
            ],
            [
                1.994729483723626e-06,
                7.88926352599354e-06,
                4.78509563555309e-06,
                5.422217676979575e-06,
                1.5534979397592542e-06,
                7.889260704179641e-06,
                6.96225873967641e-06,
                3.2887506335906595e-06,
                2.5612831267086116e-06,
                3.120191135412508e-05
            ],
            [
                5.422220262555012e-06,
                1.0129992187105678e-05,
                4.222834451292594e-06,
                1.670141587141357e-05,
                2.5612822107167428e-06,
                1.473898021457511e-05,
                4.539789026561238e-05,
                1.1478770861441461e-05,
                3.120191880867338e-05,
                6.144176799227922e-06
            ],
            [
                2.5612822104977725e-06,
                1.5534984953298217e-06,
                1.5534984953199313e-06,
                2.260324567302214e-06,
                3.7266392833663395e-06,
                6.962255419051463e-06,
                1.9947294837154625e-06,
                6.962255419570695e-06,
                1.3007126906982452e-05,
                5.422217676797111e-06
            ],
            [
                4.2228324377740105e-06,
                8.93969736955767e-06,
                5.1442207296120786e-05,
                4.785093353739995e-06,
                3.2887498494282754e-06,
                7.889265407177056e-06,
                1.3709572068422585e-06,
                4.78509563555309e-06,
                4.006368740052914e-05,
                3.2887478892683997e-06
            ],
            [
                0.9626731145299533,
                0.9980732649516174,
                0.9324533112067127,
                0.9626731125220075,
                0.9740426450156363,
                0.9959298631505082,
                0.9626731161363099,
                0.8519528076067262,
                0.9465966660571644,
                0.9740426404945811
            ],
            [
                5.422219615750493e-06,
                1.7603438428564603e-06,
                2.260325375677174e-06,
                1.067702870039777e-06,
                4.222831934156396e-06,
                1.7603432133032607e-06,
                1.9947299592933255e-06,
                8.315280276505193e-07,
                1.2098658277451275e-06,
                2.26032402841657e-06
            ],
            [
                1.5534979397677313e-06,
                1.3007130015299356e-05,
                2.5612831266946347e-06,
                1.3709572068354007e-06,
                1.1478770861211786e-05,
                1.1478764019996392e-05,
                6.962257909501028e-06,
                2.4300232039788792e-05,
                4.2228349547223175e-06,
                1.3007123812554424e-05
            ],
            [
                2.1444940743225995e-05,
                5.422219616085833e-06,
                4.785093353687772e-06,
                6.1441767990323395e-06,
                4.006370651032745e-05,
                2.4300249421932663e-05,
                8.939700566289352e-06,
                4.006371126117997e-05,
                1.14787708580381e-05,
                3.288749849477628e-06
            ],
            [
                0.731058584489497,
                0.8354835371034369,
                0.9241418168448761,
                0.9933071489518854,
                0.9046505351008906,
                0.966914024948248,
                0.9324533027598817,
                0.9046505318875316,
                0.01798621397581319,
                0.991422514998122
            ],
            [
                2.9023123311055552e-06,
                6.144176799099397e-06,
                5.422217676925328e-06,
                5.422218969601935e-06,
                7.88925976359915e-06,
                6.962257079465052e-06,
                3.726639728262097e-06,
                5.4222215552470286e-06,
                2.9023133690821773e-06,
                6.962254589781966e-06
            ],
            [
                4.006371126117997e-05,
                8.939700566565793e-06,
                6.962254589433702e-06,
                3.2887486731641103e-06,
                3.288750633569722e-06,
                9.422444815792981e-07,
                1.370957860567974e-06,
                2.9023109471689794e-06,
                1.4738976699749503e-05,
                1.1478768124553928e-05
            ],
            [
                1.5534983101478522e-06,
                3.288747889178668e-06,
                1.0677031245905116e-06,
                6.144174601410037e-06,
                9.422445939002803e-07,
                1.9947301970813926e-06,
                2.561281600049467e-06,
                6.1441746018123775e-06,
                1.30071253611406e-05,
                3.7266392839425286e-06
            ],
            [
                5.422217677078203e-06,
                6.1441724046434924e-06,
                4.785094494716039e-06,
                6.962253759581752e-06,
                4.78509563550957e-06,
                1.2098655392871682e-06,
                1.2098656835136636e-06,
                6.9622587393661365e-06,
                2.902312677104321e-06,
                2.1444950965282096e-05
            ],
            [
                1.3007134666644292e-05,
                7.889263525663481e-06,
                3.535623806128476e-05,
                3.2887490653647836e-06,
                1.8925157262578186e-05,
                2.7535704227537108e-05,
                1.7603427936183298e-06,
                5.422218323019487e-06,
                2.7535697660090726e-05,
                4.539789024909747e-05
            ],
            [
                9.422450431989127e-07,
                4.222834451215781e-06,
                2.902312677137316e-06,
                4.7850944945245504e-06,
                3.2887502415243994e-06,
                2.9023133690637e-06,
                6.144176797864436e-06,
                6.962254589617333e-06,
                3.7266397282926013e-06,
                1.1478772230198667e-05
            ],
            [
                1.370957860567974e-06,
                6.962253759752719e-06,
                1.9947299593014888e-06,
                2.902310947208574e-06,
                4.222834451292594e-06,
                1.0677031245953668e-06,
                7.889262585441413e-06,
                1.1478765386894505e-05,
                1.0129992183991656e-05,
                2.902310947208574e-06
            ],
            [
                1.994729721482609e-06,
                3.726640172503764e-06,
                2.902313023101807e-06,
                1.1478764019328247e-05,
                2.561282516042282e-06,
                9.422442569290178e-07,
                2.260324567268294e-06,
                1.994729245917502e-06,
                1.3709572068422585e-06,
                1.0677024881941248e-06
            ],
            [
                1.067702870039777e-06,
                4.5397863198349305e-05,
                4.2228349547223175e-06,
                1.6701415868193372e-05,
                5.144223814063949e-05,
                6.14417606659952e-06,
                4.78509563555309e-06,
                2.5612812946890944e-06,
                0.0002611903315971494,
                1.012998977213635e-05
            ],
            [
                3.2887482812745586e-06,
                6.475948753965404e-07,
                1.994729483680993e-06,
                2.9023119851055122e-06,
                8.315278294038928e-07,
                6.144173869379821e-06,
                2.561283126679493e-06,
                8.315284241597959e-07,
                9.422445938917108e-07,
                2.902311293034278e-06
            ],
            [
                1.3709570434178922e-06,
                9.61024027689892e-05,
                2.9023112931688987e-06,
                2.902312677104321e-06,
                4.222832941034507e-06,
                2.5612828213690224e-06,
                8.939695235959266e-06,
                1.8925143705306717e-05,
                5.422217030555087e-06,
                5.4222202621161125e-06
            ],
            [
                0.8670357649558007,
                0.9770226323061845,
                0.9924227582979294,
                0.8933094103149354,
                0.991422514863484,
                0.9399133557169235,
                0.9324533093296393,
                0.8354835350552603,
                0.9626731161363098,
                0.9626731125220075
            ],
            [
                1.0129995808418327e-05,
                2.9023119851266288e-06,
                4.222834451215781e-06,
                5.144222590680261e-05,
                5.422219616085833e-06,
                2.260324836776948e-06,
                3.12019186410215e-05,
                2.9023133690425823e-06,
                3.7266379512857925e-06,
                1.3709570434122812e-06
            ],
            [
                4.78509506499309e-06,
                2.5612822107167428e-06,
                8.939697368305565e-06,
                1.3007130015299356e-05,
                3.2887486733420804e-06,
                6.962256249429175e-06,
                3.2887478891487563e-06,
                1.7603432133136672e-06,
                1.01299933920846e-05,
                6.144173137014406e-06
            ],
            [
                8.939695238333382e-06,
                2.4300252308334918e-05,
                2.4300252317882297e-05,
                4.006367783922064e-05,
                1.473898197063434e-05,
                1.8925141469400216e-05,
                1.892515275165658e-05,
                2.2603251062013478e-06,
                5.144220129803702e-05,
                2.4300237801450912e-05
            ],
            [
                0.9996646498106129,
                0.9997965730994728,
                0.9998766054546542,
                0.9997388096292115,
                0.9998204720554098,
                0.9995694429107969,
                0.9984988175151938,
                0.9995694429624519,
                0.9988304900020283,
                0.9993736659692295
            ],
            [
                1.9947306726594253e-06,
                1.760344052714248e-06,
                1.55349775456958e-06,
                7.889260704179641e-06,
                6.144173869240119e-06,
                1.0677032518700286e-06,
                1.209865827740176e-06,
                1.5534983101478522e-06,
                1.2098653950551882e-06,
                2.2603251062013478e-06
            ],
            [
                6.962253759486771e-06,
                6.962254589617333e-06,
                1.892515049571424e-05,
                7.889261644760245e-06,
                2.4300246520590875e-05,
                2.144494072961245e-05,
                1.8925148239290237e-05,
                1.994729483680993e-06,
                5.422217030209884e-06,
                2.7535704201392335e-05
            ],
            [
                5.829127239924071e-05,
                2.144495607336692e-05,
                1.3709572068478697e-06,
                7.484626293113213e-05,
                1.300712846411008e-05,
                2.4300232027942982e-05,
                7.88925976418034e-06,
                8.939699499627926e-06,
                0.00010889696078082307,
                2.7535700911558485e-05
            ],
            [
                6.962254589705982e-06,
                8.93969630362837e-06,
                1.6701429805655623e-05,
                4.785095065171522e-06,
                1.0129989771657269e-05,
                8.93969949923766e-06,
                3.2887498494282754e-06,
                0.00015843625101090195,
                4.7850967763512445e-06,
                4.539788478332436e-05
            ],
            [
                1.1478773597870298e-05,
                1.3709568799879344e-06,
                1.2098658277451275e-06,
                2.9023126769762986e-06,
                1.9947297215043796e-06,
                1.0677024881941248e-06,
                1.0129992186939844e-05,
                2.902311985079115e-06,
                2.5612816000646084e-06,
                3.2887482811908074e-06
            ],
            [
                1.0677029973114952e-06,
                3.288750633545794e-06,
                6.962256249517824e-06,
                8.315278294072958e-07,
                1.5534983101478522e-06,
                2.5612828213690224e-06,
                6.144175334172377e-06,
                5.043473480766399e-07,
                2.902311293147782e-06,
                1.2098659719716573e-06
            ],
            [
                2.9023123311583482e-06,
                1.670141586949968e-05,
                6.9622579095833456e-06,
                2.260323758923431e-06,
                2.5612816000145246e-06,
                1.6701423833831836e-05,
                3.2887490652810324e-06,
                3.1201911372399926e-05,
                1.4738980214843206e-05,
                3.726639728184142e-06
            ],
            [
                1.0129993394811673e-05,
                3.288747889229516e-06,
                2.260324836776948e-06,
                1.4738985483128763e-05,
                6.475951069985296e-07,
                2.5612812947380135e-06,
                3.726638839833152e-06,
                1.5534973841895917e-06,
                3.288748673265808e-06,
                1.0129989771657269e-05
            ],
            [
                7.889260704531226e-06,
                2.9023130231176453e-06,
                2.561282516066741e-06,
                2.14449535222109e-05,
                1.1478764019557924e-05,
                1.7603434231777837e-06,
                5.422217030614265e-06,
                1.760343213322473e-06,
                6.144176066795103e-06,
                4.78509563550957e-06
            ],
            [
                4.2228324375973415e-06,
                7.889264466344872e-06,
                4.222833444506298e-06,
                6.144175333837093e-06,
                7.889264466344872e-06,
                3.288749457383046e-06,
                1.7603427936079236e-06,
                3.7266397282926013e-06,
                5.422217676925328e-06,
                1.3007134664822509e-05
            ],
            [
                6.144172404587612e-06,
                1.7603440527222532e-06,
                4.222833444506298e-06,
                4.222833947960866e-06,
                6.962259569630266e-06,
                8.481101066480413e-05,
                2.902312331125353e-06,
                1.8925157263094544e-05,
                7.484623613063591e-05,
                1.5534983101549167e-06
            ],
            [
                2.260325375677174e-06,
                2.5612819053586272e-06,
                1.8925145983348442e-05,
                1.3007128464346676e-05,
                4.785096205582214e-06,
                1.9947290081177566e-06,
                3.120191134459038e-05,
                6.962256247098965e-06,
                4.7850967763512445e-06,
                1.2098662604291696e-06
            ],
            [
                1.5534981249574276e-06,
                3.2887490653647836e-06,
                6.144173869379821e-06,
                7.889260704531226e-06,
                2.9023116391477434e-06,
                4.222834451327159e-06,
                8.93970056668775e-06,
                3.2887502415243994e-06,
                6.144174601879434e-06,
                7.889263526093993e-06
            ],
            [
                4.785094494750855e-06,
                1.8925150494750372e-05,
                3.535626333989112e-05,
                3.7266379512857925e-06,
                1.3007125360809367e-05,
                6.605216035177641e-05,
                1.3007123811797321e-05,
                6.144176799166453e-06,
                4.539787403938935e-05,
                7.484623610449812e-05
            ],
            [
                0.9959298625955564,
                0.9890130589481212,
                0.98593637507458,
                0.9978172835389348,
                0.9940889301669023,
                0.9890130550721745,
                0.9820137933936421,
                0.9579122690805789,
                0.994779873658385,
                0.9975273766992212
            ],
            [
                0.00012339454522734274,
                8.939698435454571e-06,
                3.7266406168403854e-06,
                4.0063692172075196e-05,
                0.0024726229378345056,
                5.829124465589078e-05,
                6.9622595694023114e-06,
                3.1201903930339314e-05,
                4.222831934286977e-06,
                6.605213678458984e-05
            ],
            [
                2.430023783150746e-05,
                1.8925150496609267e-05,
                7.48462093682669e-05,
                1.8925148239772175e-05,
                3.12019225291377e-05,
                3.535623806128476e-05,
                6.962254589528684e-06,
                4.222832437747125e-06,
                1.4738987236641703e-05,
                4.539787398819316e-05
            ],
            [
                0.00023050675790286048,
                6.144176066521288e-06,
                4.539786295326824e-05,
                5.1442201250130194e-05,
                6.14417533430649e-06,
                2.561281600049467e-06,
                3.7266410609160796e-06,
                3.2887482811908074e-06,
                1.6701429796754513e-05,
                6.14417753110761e-06
            ],
            [
                2.144494074201677e-05,
                3.2887502415438413e-06,
                1.7603430034655858e-06,
                6.475950297993789e-07,
                7.88926352599354e-06,
                1.0129990979694647e-05,
                5.422218969720291e-06,
                3.726638839878908e-06,
                1.1478768123280277e-05,
                2.561282515988704e-06
            ],
            [
                5.422217677028889e-06,
                1.9947304348332037e-06,
                6.962259569484628e-06,
                5.422218969306048e-06,
                1.0677029973158649e-06,
                2.9023112931688987e-06,
                4.222835458044565e-06,
                8.3152792852928e-07,
                4.785094494402695e-06,
                2.5612816000331606e-06
            ],
            [
                1.3709575337078829e-06,
                1.0129992186589747e-05,
                1.147876675686207e-05,
                6.1441767990323395e-06,
                8.939700566801578e-06,
                5.422220261652556e-06,
                2.2603242978665707e-06,
                1.3007125362323574e-05,
                4.222832437747125e-06,
                1.3709567165530083e-06
            ],
            [
                2.430025230532926e-05,
                1.0129994602057158e-05,
                3.5356250701614645e-05,
                1.3007134665130082e-05,
                0.0001795279001912992,
                1.7603438426747447e-06,
                1.892514372479069e-05,
                3.535626334156318e-05,
                7.889264465239894e-06,
                1.0129988564264954e-05
            ],
            [
                4.006367785700152e-05,
                1.892514823426434e-05,
                4.006370171895837e-05,
                6.1441760667392215e-06,
                8.939700566801578e-06,
                5.1442195245310235e-05,
                6.962253759828703e-06,
                4.53978848619353e-05,
                3.288747889178668e-06,
                1.0129989771473008e-05
            ],
            [
                0.9046505421702797,
                0.9465966758497363,
                0.9940889316581778,
                0.9859363747000865,
                0.9706877678177006,
                0.0021827163611675767,
                0.9525741315347258,
                0.9740426455807681,
                0.7981867705385762,
                0.9770226318462163
            ],
            [
                0.9241418252018901,
                0.9525741310298373,
                0.9465966718950439,
                0.8670357683915538,
                0.880797076413356,
                0.9399133525610677,
                0.7549149868676283,
                0.8670357529306639,
                0.002472623066472981,
                0.9669140208962347
            ],
            [
                4.78509563550957e-06,
                5.422219616026655e-06,
                4.2228334445370225e-06,
                3.288750633545794e-06,
                3.288748673265808e-06,
                2.9023133690188264e-06,
                6.144176799283803e-06,
                6.144173869312763e-06,
                4.2228334437304904e-06,
                1.5534981249496567e-06
            ],
            [
                1.5534975693707442e-06,
                3.726641060244989e-06,
                5.422218969029887e-06,
                5.422219616085833e-06,
                5.422221554847581e-06,
                1.2098652508287273e-06,
                7.889259763728304e-06,
                1.8925148232267744e-05,
                1.7603425837606927e-06,
                1.7603440527046419e-06
            ],
            [
                1.0129988564578197e-05,
                1.4738981970956057e-05,
                0.00010889690922797348,
                0.00010889696103750992,
                7.484622710602007e-05,
                1.473898899908247e-05,
                6.962257079376403e-06,
                7.889259763469998e-06,
                6.605213676488686e-05,
                1.1478768124992398e-05
            ],
            [
                5.422218969720291e-06,
                2.9023130230846496e-06,
                8.93969630362837e-06,
                6.144173867753695e-06,
                1.01299946023704e-05,
                1.5534975693869924e-06,
                1.8925155005051806e-05,
                0.00015843629107272774,
                5.4222183234485234e-06,
                0.00037998448139952635
            ],
            [
                2.9023133690637e-06,
                2.5612812947077304e-06,
                4.222833947897496e-06,
                8.315283250371857e-07,
                2.5612816000646084e-06,
                6.962257079629686e-06,
                4.78509563546605e-06,
                7.88926352599354e-06,
                2.9023112931873767e-06,
                6.9622579096593295e-06
            ],
            [
                2.260325375677174e-06,
                3.535626330593522e-05,
                8.939696303758459e-06,
                1.3709576971242028e-06,
                2.902313023063532e-06,
                4.222832437443716e-06,
                3.535624646549072e-05,
                4.006367783499403e-05,
                7.889265406681968e-06,
                1.147876812538911e-05
            ],
            [
                1.9947299592824403e-06,
                7.889265406294507e-06,
                1.5534973841450852e-06,
                1.147876401423365e-05,
                1.892515726357648e-05,
                1.8925141471913163e-05,
                1.9947290081177566e-06,
                2.5612816000646084e-06,
                1.7603440527046419e-06,
                4.222831934286977e-06
            ],
            [
                0.00037998452597248934,
                2.753568781222975e-05,
                8.939699500766203e-06,
                2.7535681250497054e-05,
                7.88926258532661e-06,
                5.8291293323071325e-05,
                2.4300234937946394e-05,
                4.0063687398634466e-05,
                8.939700565834043e-06,
                1.4738980213020151e-05
            ],
            [
                7.889261644982674e-06,
                1.3007134663876127e-05,
                8.93969736955767e-06,
                2.2603234895053587e-06,
                2.902312677007974e-06,
                1.5534971989907999e-06,
                4.785094494628999e-06,
                1.6701429802769596e-05,
                3.28874906467085e-06,
                1.9947306725669014e-06
            ],
            [
                4.0063687398634466e-05,
                8.939698435226916e-06,
                4.78509278348926e-06,
                2.561283432035425e-06,
                6.962257079376403e-06,
                2.902310947208574e-06,
                2.4300246506623417e-05,
                0.0008040859514362542,
                4.785095065093186e-06,
                7.889261644760245e-06
            ],
            [
                2.5612819053399912e-06,
                2.1444945853375776e-05,
                6.1441767989541075e-06,
                1.300712380997554e-05,
                3.5356250694926364e-05,
                1.7603432132784448e-06,
                7.889260704179641e-06,
                3.2887478889962107e-06,
                1.3007131561804229e-05,
                4.785096776303374e-06
            ],
            [
                4.7850950647493785e-06,
                2.902312677060767e-06,
                6.144172404520556e-06,
                7.889265406567165e-06,
                1.4738983727900215e-05,
                2.9023112931688987e-06,
                1.670142980726572e-05,
                0.00010889690908378526,
                6.962256249606473e-06,
                4.00636969277356e-05
            ],
            [
                2.430024362932722e-05,
                6.605216040319643e-05,
                0.8670357735451834,
                0.9399133437246704,
                0.9859363701415957,
                0.982013791584178,
                2.7535691097454142e-05,
                6.962253759581752e-06,
                0.9399133454077936,
                0.9875683462997616
            ],
            [
                4.7850967763512445e-06,
                3.726639728262097e-06,
                5.4222209089700225e-06,
                1.0129995809929273e-05,
                5.422217030614265e-06,
                3.7266379513434106e-06,
                5.04347468323289e-07,
                7.338211554783522e-07,
                2.561281905376098e-06,
                1.5534983101549167e-06
            ],
            [
                6.962257079705671e-06,
                3.2887498493983645e-06,
                2.7535691096552598e-05,
                6.144174601410037e-06,
                4.785095065093186e-06,
                2.2603242978665707e-06,
                6.962259569484628e-06,
                7.338212429582604e-07,
                1.4738983728784933e-05,
                6.144177531660828e-06
            ],
            [
                1.4738981969615573e-05,
                1.9947292459265734e-06,
                2.2603248367512505e-06,
                3.7266388396975786e-06,
                1.89251482372248e-05,
                1.3709578605729614e-06,
                1.1478773597390071e-05,
                2.561281294123034e-06,
                7.889259764079887e-06,
                6.144177531599359e-06
            ],
            [
                3.726639283752725e-06,
                6.144173869379821e-06,
                3.726641061027928e-06,
                2.9023123309287002e-06,
                3.288750633545794e-06,
                1.012999339449843e-05,
                1.1478766756444477e-05,
                7.889263526266196e-06,
                1.7603427936183298e-06,
                2.2603242978007868e-06
            ],
            [
                2.753569437266178e-05,
                4.785092783415276e-06,
                7.88926352599354e-06,
                6.144175334239434e-06,
                4.006369204702597e-05,
                1.473898196210887e-05,
                1.7603436330179102e-06,
                1.0129987356375273e-05,
                2.260324028427877e-06,
                1.0129992186939844e-05
            ],
            [
                0.0008040861033333018,
                1.8925157258585e-05,
                1.4738980212644815e-05,
                4.222833444506298e-06,
                6.144174601935314e-06,
                0.00029595697689199107,
                3.726637951170554e-06,
                2.5612834320470717e-06,
                5.422219616085833e-06,
                0.0002959570194988879
            ],
            [
                0.9796676461379142,
                0.9875683500386618,
                0.9998204719483123,
                0.9984988175054218,
                0.9975273768864361,
                0.9875683519366965,
                0.9964063978029128,
                0.9989677691675591,
                0.9953904276817465,
                0.9993736658969432
            ],
            [
                5.829126551991333e-05,
                4.7850933538313875e-06,
                2.9023119851266288e-06,
                8.481104101029498e-05,
                2.14449509695729e-05,
                2.7535700942411318e-05,
                6.14417533430649e-06,
                2.1444948408977715e-05,
                7.484622716319649e-05,
                1.8925150496161756e-05
            ],
            [
                0.9840936047019121,
                0.9740426408242414,
                0.9875683477633068,
                0.9324533074525657,
                0.9770226283755475,
                0.9525741249711753,
                0.9875683516622819,
                0.9953904281945316,
                0.9324533013520765,
                0.9953904287585952
            ],
            [
                0.00023050662594774302,
                3.726637951367137e-06,
                3.726639728348526e-06,
                6.9622579096593295e-06,
                4.222834451327159e-06,
                3.2887490653408545e-06,
                8.939694172290508e-06,
                6.962253759581752e-06,
                1.0129990979215566e-05,
                3.2887502415243994e-06
            ],
            [
                2.902311985146426e-06,
                4.539787945792856e-05,
                2.902311293147782e-06,
                1.0129995809929273e-05,
                3.288749457469787e-06,
                3.288750633545794e-06,
                3.7266410609160796e-06,
                4.785096205882502e-06,
                7.889266347248781e-06,
                1.3007123811229494e-05
            ],
            [
                1.4738981970956057e-05,
                5.422218323093458e-06,
                4.222831934286977e-06,
                6.144175334015912e-06,
                2.5612831266946347e-06,
                5.422217030495909e-06,
                1.4738988999672284e-05,
                3.2887482812506295e-06,
                5.422221554581283e-06,
                5.422217030209884e-06
            ],
            [
                2.2603240283888175e-06,
                1.3007123811797321e-05,
                1.0129992187105678e-05,
                6.9622579092224155e-06,
                5.422217677078203e-06,
                8.93969310662177e-06,
                7.889259763857458e-06,
                1.9947292458603553e-06,
                2.43002378338943e-05,
                4.222834451327159e-06
            ],
            [
                0.9840936058973365,
                0.99781728344208,
                0.982013792900152,
                0.9525741273273217,
                0.9740426454865795,
                0.9902915243601964,
                0.9859363736799145,
                0.9579122684798183,
                0.9740426403062038,
                0.9796676481785205
            ],
            [
                3.726638839806038e-06,
                4.785092783454444e-06,
                7.889263524443698e-06,
                3.120190019330501e-05,
                4.5397868567012224e-05,
                7.889263524788109e-06,
                1.1478765386623071e-05,
                2.561283431942246e-06,
                1.760343213322473e-06,
                1.8925148232956223e-05
            ],
            [
                2.2603242978778778e-06,
                5.422220908876325e-06,
                0.00017952800762574078,
                1.1478766757049986e-05,
                5.4222202623972055e-06,
                1.2098652508347793e-06,
                4.785094494750855e-06,
                4.785092783454444e-06,
                2.4300232020075242e-05,
                2.902311639183378e-06
            ],
            [
                2.9023116391477434e-06,
                3.2887486733420804e-06,
                1.9947292459265734e-06,
                6.144176066672166e-06,
                2.9023116390421582e-06,
                7.338208930391909e-07,
                3.726641061058432e-06,
                7.889261638230827e-06,
                2.5612822106841303e-06,
                1.0129990977262395e-05
            ],
            [
                3.288749457383046e-06,
                6.1441724046434924e-06,
                4.785095635413826e-06,
                1.4738983726908257e-05,
                1.147876812538911e-05,
                1.2098661161982042e-06,
                4.785092783267308e-06,
                1.4738980214843206e-05,
                3.726639728348526e-06,
                7.889265404113251e-06
            ],
            [
                8.315284241597959e-07,
                4.222831934248571e-06,
                7.889264465397747e-06,
                1.3007130014636887e-05,
                5.4222183231674305e-06,
                8.939693106873817e-06,
                3.288750241374845e-06,
                1.4738976699427788e-05,
                5.422219615750493e-06,
                1.0677028700363782e-06
            ],
            [
                2.1444945852673643e-05,
                1.0129993393319151e-05,
                8.939699495546396e-06,
                1.6701425824733193e-05,
                5.144221359998557e-05,
                1.4738976699749503e-05,
                4.222835457794923e-06,
                1.760343842833246e-06,
                1.5534971989992774e-06,
                2.1444953515423628e-05
            ],
            [
                3.7266388397721442e-06,
                3.726639728348526e-06,
                5.422221555192784e-06,
                4.539787402650773e-05,
                9.422449308774482e-07,
                1.6701423834226767e-05,
                1.1478770862255766e-05,
                6.962257079173776e-06,
                3.2887502415243994e-06,
                2.4300240725599276e-05
            ],
            [
                2.4300243627117176e-05,
                6.962259569560613e-06,
                4.22283545808297e-06,
                5.422217030614265e-06,
                6.962254588724508e-06,
                1.8925154994724604e-05,
                2.7535687762043832e-05,
                6.144175334094145e-06,
                2.902311985146426e-06,
                6.144173136729416e-06
            ],
            [
                2.9023116391675407e-06,
                2.9023116391675407e-06,
                1.2098662604291696e-06,
                6.1441767989541075e-06,
                5.422220908402905e-06,
                6.144173869240119e-06,
                4.222833444506298e-06,
                1.994729483680993e-06,
                5.829129320305095e-05,
                1.6701421844085127e-05
            ],
            [
                4.785096776194573e-06,
                2.2603234895176927e-06,
                6.144177530794679e-06,
                4.785093924103951e-06,
                4.222831934352267e-06,
                2.260325375650449e-06,
                2.5612819052654485e-06,
                3.2887498494551953e-06,
                7.889264466445326e-06,
                5.422219616140078e-06
            ],
            [
                2.2603242978377903e-06,
                2.7535700911558485e-05,
                1.2098659719601033e-06,
                1.3007131565376817e-05,
                4.222831934248571e-06,
                3.288748673319648e-06,
                3.288750633545794e-06,
                7.889259764273619e-06,
                4.785094494672519e-06,
                1.147877223059538e-05
            ],
            [
                0.994088932005686,
                0.9968273168725458,
                0.9994472213207883,
                0.9968273176722263,
                0.9996200155154941,
                0.9984988180570108,
                0.9995694429096946,
                0.9989677688122305,
                0.9989677689188291,
                0.9991959142365644
            ],
            [
                1.0677026154279257e-06,
                4.222834954687752e-06,
                6.144176799099397e-06,
                4.7850944945245504e-06,
                1.4738985476533587e-05,
                1.5534983101393749e-06,
                1.3007125360809367e-05,
                8.93969417150998e-06,
                2.430023782717578e-05,
                3.7266392839425286e-06
            ],
            [
                9.422444815765128e-07,
                1.760344052714248e-06,
                6.144176798691468e-06,
                1.994730434879465e-06,
                5.422218323231539e-06,
                4.222833947774596e-06,
                3.7266397283231055e-06,
                4.222833947932061e-06,
                2.2603248367512505e-06,
                3.7266392840781026e-06
            ],
            [
                3.535625913514915e-05,
                3.1201926209079954e-05,
                8.93969523678858e-06,
                3.288750633569722e-06,
                2.260324297853209e-06,
                8.93969630362837e-06,
                0.0001795280002781643,
                1.5534975693869924e-06,
                2.4300249420429837e-05,
                8.939700566435704e-06
            ],
            [
                8.315277302819205e-07,
                2.260325375664839e-06,
                2.5612812947240366e-06,
                6.144177531599359e-06,
                3.726639284103523e-06,
                4.785096776303374e-06,
                2.5612831267086116e-06,
                3.726640616748873e-06,
                3.726637951367137e-06,
                1.012998977213635e-05
            ],
            [
                0.9980732651513088,
                0.9990889486669459,
                0.9980732657680685,
                0.998299277284969,
                0.998073265027733,
                0.9995121428222395,
                0.9959298616328848,
                0.9988304897212096,
                0.9859363761464063,
                0.9968273167613563
            ],
            [
                1.994729483705484e-06,
                1.5534983101393749e-06,
                4.785093353739995e-06,
                8.93969417167259e-06,
                2.2603242978377903e-06,
                1.3007131563176482e-05,
                1.012999339309804e-05,
                2.5612831266946347e-06,
                2.5612825160562587e-06,
                6.475951069985296e-07
            ],
            [
                7.889262585728421e-06,
                0.00017952804586292024,
                4.785095634565186e-06,
                2.5612816000646084e-06,
                2.902312677007974e-06,
                0.00012339461887489388,
                1.9947301970587145e-06,
                2.561281905376098e-06,
                1.3007134664822509e-05,
                7.88925976316864e-06
            ],
            [
                5.422218969532895e-06,
                2.90231163910023e-06,
                1.012999339309804e-05,
                1.370957533676711e-06,
                9.422450431954847e-07,
                2.902311639126627e-06,
                2.5612812947380135e-06,
                1.553498124964492e-06,
                4.222834451292594e-06,
                2.5612812947077304e-06
            ],
            [
                0.9740426411539018,
                0.22270014398423355,
                6.605216829064421e-05,
                3.5356254914330094e-05,
                0.9859363712134224,
                0.9399133523506772,
                0.029312231493326745,
                0.880797085800514,
                7.889261644875049e-06,
                0.000335350146272333
            ],
            [
                6.144173136885882e-06,
                1.1478770859019436e-05,
                7.88926634755014e-06,
                4.222833947960866e-06,
                1.1478764010141264e-05,
                2.4300246525983375e-05,
                2.144495351862222e-05,
                2.9023123310580418e-06,
                4.0063711274151284e-05,
                1.3007126911974612e-05
            ],
            [
                4.539789028526512e-05,
                8.481105141464207e-05,
                1.0129993394811673e-05,
                8.93969630388855e-06,
                0.00012339458930993918,
                5.829127247176183e-05,
                7.889266347636241e-06,
                6.962257079553702e-06,
                8.93969310675186e-06,
                4.5397879464864824e-05
            ],
            [
                2.4300249412738893e-05,
                2.753568453191415e-05,
                1.1478770861211786e-05,
                4.006369695353247e-05,
                1.3007125362323574e-05,
                3.2887486732000038e-06,
                5.8291293252246584e-05,
                8.939698435226916e-06,
                1.6701425814404263e-05,
                1.8925148238808306e-05
            ],
            [
                1.8925150489517924e-05,
                1.8925143717561654e-05,
                4.785096776133645e-06,
                6.1441738691562974e-06,
                1.4738988994980593e-05,
                5.422218323290717e-06,
                5.422218323399208e-06,
                5.8291258493848154e-05,
                1.4738987240100149e-05,
                1.4738980213341866e-05
            ],
            [
                2.1444948411552198e-05,
                1.0129987357158383e-05,
                7.889260704732132e-06,
                2.430024941804299e-05,
                1.4738978457336465e-05,
                2.561283432035425e-06,
                2.902310947208574e-06,
                3.2887490653647836e-06,
                3.726639728348526e-06,
                5.422218969769604e-06
            ],
            [
                1.0129987357158383e-05,
                1.3007133115430804e-05,
                1.670142781478417e-05,
                1.7603440527222532e-06,
                7.484621827634963e-05,
                3.1201926246083686e-05,
                1.8925145981283003e-05,
                8.939695238211425e-06,
                8.93970056668775e-06,
                1.553497754577351e-06
            ],
            [
                0.9465966703884945,
                0.9859363756686041,
                0.9706877669697345,
                0.9820137920118696,
                0.9840936057515531,
                0.939913347090917,
                0.9579122752383734,
                0.9902915227663949,
                0.9525741217735477,
                0.9859363702190772
            ],
            [
                3.726640616748873e-06,
                7.889260704423598e-06,
                2.14449585682747e-05,
                1.7603430034743913e-06,
                5.422218969769604e-06,
                1.8925148216088467e-05,
                6.144175333926503e-06,
                3.288750241374845e-06,
                9.422445938964242e-07,
                1.4738978457604563e-05
            ],
            [
                8.93969310662177e-06,
                1.3007126912826352e-05,
                1.1478772230407462e-05,
                6.605214462734262e-05,
                5.422217677078203e-06,
                7.889262585541864e-06,
                1.8925150494750372e-05,
                5.422218323290717e-06,
                1.6701423833436905e-05,
                3.726640172537657e-06
            ],
            [
                0.9796676451732638,
                0.9859363698058429,
                0.994088932254688,
                0.9924227586410952,
                0.990291521781461,
                0.9914225151010806,
                0.9820137862544824,
                0.9669140216112958,
                0.9626731141283641,
                0.9626731157347208
            ],
            [
                4.785095635592258e-06,
                3.726641061027928e-06,
                8.93969736955767e-06,
                1.8925145983348442e-05,
                1.3007131564903626e-05,
                2.2603242978377903e-06,
                1.147876402018431e-05,
                4.2228324377164004e-06,
                1.6701425826191394e-05,
                8.93969736955767e-06
            ],
            [
                0.00029595699049726466,
                7.4846236168209e-05,
                5.422218323093458e-06,
                1.0129992185981682e-05,
                2.7535700945316292e-05,
                1.670141786231398e-05,
                7.889264466445326e-06,
                1.67014238321306e-05,
                2.4300232042706045e-05,
                0.00013982205705906782
            ],
            [
                8.93970056668775e-06,
                4.2228324375512536e-06,
                4.785092783415276e-06,
                4.006369216362198e-05,
                1.4738976698006875e-05,
                1.0129989772412744e-05,
                0.00023050679736063442,
                1.0129993394959082e-05,
                1.553498124964492e-06,
                3.535623806128476e-05
            ],
            [
                1.1478773598538445e-05,
                6.144173136729416e-06,
                1.3007126913820052e-05,
                1.0677031245953668e-06,
                8.93969950101825e-06,
                1.3709573702647743e-06,
                2.260325375664839e-06,
                3.7266379512857925e-06,
                8.939694172656384e-06,
                5.422221555296344e-06
            ],
            [
                4.5397868635383903e-05,
                6.962257079629686e-06,
                2.144495608046625e-05,
                1.0129993394959082e-05,
                2.5612822107167428e-06,
                4.785093924330255e-06,
                4.785096206047877e-06,
                3.1201918809808464e-05,
                3.2887482812745586e-06,
                1.3709578605729614e-06
            ],
            [
                1.1478773597870298e-05,
                3.2887490652810324e-06,
                1.9947304348595095e-06,
                1.0129987357020188e-05,
                1.553497384180408e-06,
                5.422221555192784e-06,
                8.939695237813028e-06,
                5.422219615829396e-06,
                4.2228334445370225e-06,
                3.7266392840781026e-06
            ],
            [
                3.288748281295496e-06,
                6.962257079173776e-06,
                6.144173136952939e-06,
                5.422219616228845e-06,
                2.561281905390075e-06,
                6.144173869446876e-06,
                3.288750633518874e-06,
                2.902313023101807e-06,
                1.0129992186774007e-05,
                2.5612812947077304e-06
            ],
            [
                1.0677031245990084e-06,
                1.3709568799760888e-06,
                1.0129992186939844e-05,
                1.760343213322473e-06,
                4.222833444467892e-06,
                1.3007128463069061e-05,
                6.605215242684585e-05,
                4.222831934248571e-06,
                4.006368740052914e-05,
                2.7535684525803696e-05
            ],
            [
                5.422218323093458e-06,
                2.5612822107167428e-06,
                2.5612828213352452e-06,
                5.829126543170052e-05,
                1.012998977213635e-05,
                8.481105130419384e-05,
                5.422218323231539e-06,
                6.14417606659952e-06,
                7.889263525405172e-06,
                1.994729959270648e-06
            ]
        ]
    },
    {
        "q_id": "10662_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                2.1444945839255133e-05,
                2.4300252281460812e-05,
                1.0129995799426358e-05,
                8.939700564679507e-06,
                0.9924227593589421,
                8.48110100527114e-05,
                6.962258734066175e-06,
                0.9998204719712562,
                2.144494839938192e-05,
                2.4300237804191365e-05
            ],
            [
                0.9999910603015856,
                0.9999810748427752,
                0.9999810748517747,
                0.9999785550465145,
                0.9996200154899796,
                8.481107064004255e-05,
                0.999954602142343,
                0.9999910603005155,
                0.0001398221054898652,
                0.9999251537376902
            ],
            [
                0.9997965729313321,
                0.999981074845007,
                0.9999724643188006,
                0.9999485577619046,
                1.300712846217e-05,
                8.939695230170327e-06,
                0.00012339455908248694,
                0.9999038976083394,
                0.9998911031179887,
                0.999968798099866
            ],
            [
                5.144219512778883e-05,
                0.999796573027361,
                3.120191130088966e-05,
                0.9997965729560688,
                0.9997388095707245,
                0.9999599362887508,
                1.670142578341747e-05,
                7.889265402362503e-06,
                0.998830489821842,
                4.006370640786867e-05
            ],
            [
                0.9999977396754336,
                0.9999869928700533,
                3.5356263203810314e-05,
                8.481105801315346e-05,
                0.9997694933154122,
                0.9999938558239345,
                0.0001233945373347409,
                0.00012339458587532748,
                0.9999945777797385,
                9.610241306636271e-05
            ],
            [
                1.6701427811898146e-05,
                0.9998601779259803,
                1.4738988992031526e-05,
                2.144494328864643e-05,
                9.610237993550422e-05,
                0.9998204720146521,
                2.7535684294507753e-05,
                0.9998911030782626,
                4.006369210357503e-05,
                0.9999646437451953
            ],
            [
                1.4738985482351282e-05,
                1.8925148231579266e-05,
                5.8291265247216994e-05,
                1.0129987348120356e-05,
                4.0063706202659596e-05,
                0.999959936303095,
                0.9999417087347141,
                0.9999339478476231,
                5.422218966643064e-06,
                0.9999724643154765
            ],
            [
                3.535626333989112e-05,
                7.889262580791891e-06,
                0.00015843623420609972,
                0.9997965729556724,
                3.120192237317717e-05,
                1.892515722478062e-05,
                3.12019224440064e-05,
                8.939696300376156e-06,
                5.8291286244838475e-05,
                3.120191135412508e-05
            ],
            [
                3.120192248986379e-05,
                0.999933947871446,
                5.1442231888421266e-05,
                0.9999852610216818,
                0.9999599363126381,
                1.473898723610551e-05,
                1.1478764016112805e-05,
                2.430023734582906e-05,
                0.9999687980812059,
                3.535623792520406e-05
            ],
            [
                0.9990889488612302,
                2.4300232013798725e-05,
                0.9999546021259992,
                3.535626332895835e-05,
                2.7535684459790688e-05,
                0.9998601779265763,
                0.9999251537373646,
                6.605217590513419e-05,
                5.8291251541153115e-05,
                1.892514823488397e-05
            ],
            [
                0.9999251537375236,
                2.4300252285704095e-05,
                1.8925143643137e-05,
                0.9978172834785907,
                2.144495601391978e-05,
                0.9964063976586838,
                1.1478772225646932e-05,
                4.539787379100525e-05,
                0.9989677688063483,
                0.9992903295642024
            ],
            [
                0.999959936298299,
                0.9999339478633125,
                0.9525741231199173,
                0.999954602142233,
                3.535625488178903e-05,
                6.144173868312501e-06,
                0.9999417087345,
                1.6701421810911034e-05,
                5.144221930389287e-05,
                0.9984988180732393
            ],
            [
                0.00017952798378072742,
                0.9997694932327609,
                0.0007096703640547701,
                0.9998766053814608,
                0.9996200154329589,
                0.9998911030785826,
                0.00012339457442243326,
                0.010986945201064597,
                7.484624494016057e-05,
                5.829128608325629e-05
            ],
            [
                1.6701419849933667e-05,
                0.9982992777763354,
                0.00010889694658382246,
                1.670142581373592e-05,
                0.999373665844186,
                2.1444950958338794e-05,
                3.12019113204131e-05,
                0.9996200154816995,
                2.430024072091399e-05,
                1.1478773530867893e-05
            ],
            [
                0.9998911031039217,
                0.9999724643023706,
                0.9997040427633763,
                2.430023200831783e-05,
                2.4300243569125712e-05,
                1.4738978451438343e-05,
                0.9998204719711752,
                9.610244897992977e-05,
                0.9999724642993026,
                2.430023781568357e-05
            ],
            [
                4.006368735403649e-05,
                2.144495607492721e-05,
                0.00010889689454295796,
                0.014063629910058556,
                0.006692851147178328,
                0.999954602115224,
                0.010986941851355899,
                0.9989677688800551,
                8.481106143890034e-05,
                0.00010889688299997942
            ],
            [
                2.4300252293748645e-05,
                1.8925148166724464e-05,
                5.144219516222186e-05,
                2.4300249212509168e-05,
                8.939694168517944e-06,
                2.43002522163972e-05,
                2.144494070714426e-05,
                3.120190751856465e-05,
                3.5356259102608094e-05,
                0.9998415638406248
            ],
            [
                0.9998911030522912,
                3.1201907620154606e-05,
                5.829126544654401e-05,
                1.4738980204575109e-05,
                0.9996200155315899,
                0.9999339478632947,
                6.9622545877746946e-06,
                3.120191132245625e-05,
                4.5397890221682726e-05,
                0.9992903297320839
            ],
            [
                0.9999339478396766,
                1.892515499389843e-05,
                0.9999810748495518,
                7.88926446430712e-06,
                3.120190389923804e-05,
                0.9999930377420932,
                0.999959936312898,
                0.9999646437325286,
                2.4300252306390083e-05,
                2.1444950954750122e-05
            ],
            [
                4.222832431241102e-06,
                1.4738988977929642e-05,
                1.8925152740434357e-05,
                0.9997388096971599,
                4.006368735141308e-05,
                4.006369671523933e-05,
                0.9997694931797011,
                1.1478773591543802e-05,
                0.001325022550002994,
                0.0019267347886942686
            ],
            [
                2.7535700886916288e-05,
                1.6701421818931145e-05,
                0.9971990734744428,
                0.9998204719921836,
                1.4738980065004052e-05,
                0.9999546021368069,
                5.144223769038993e-05,
                7.889260673111094e-06,
                4.222832436779288e-06,
                1.3007126898133793e-05
            ],
            [
                1.4738983720715225e-05,
                5.422219612623952e-06,
                1.8925157254522964e-05,
                3.5356267393246886e-05,
                2.753570093009022e-05,
                2.4300234922476113e-05,
                2.7535687811228037e-05,
                0.9998911031041403,
                3.5356267453698665e-05,
                1.473898723610551e-05
            ],
            [
                0.9998415637085216,
                3.5356267477364894e-05,
                3.120190758167528e-05,
                3.1201900194894126e-05,
                7.484624486991525e-05,
                2.1444948401176257e-05,
                2.1444948398445745e-05,
                2.7535697619320912e-05,
                1.0129995788923442e-05,
                5.1442213195023145e-05
            ],
            [
                4.78509620278823e-06,
                7.889266343316778e-06,
                2.144495092658685e-05,
                3.7266383927344267e-06,
                1.0129987353832463e-05,
                3.5356238010608196e-05,
                3.726639293947878e-06,
                3.28874945711983e-06,
                2.4300249402042293e-05,
                8.939693102865466e-06
            ],
            [
                7.889263524257144e-06,
                7.484623598143269e-05,
                9.610242632402301e-05,
                0.01406362805050406,
                0.9740426424254485,
                0.9999038975745919,
                6.60521367274031e-05,
                0.9999646437535655,
                5.829126537996031e-05,
                0.00012339454483773976
            ],
            [
                0.9999151889487513,
                0.9999724643089206,
                5.8291244035432624e-05,
                4.006368735403649e-05,
                1.01299933920846e-05,
                0.9998601779765166,
                0.9998415637461053,
                0.9964063970859359,
                2.430023202131286e-05,
                3.120191133017482e-05
            ],
            [
                8.939697367492512e-06,
                1.0129987355785634e-05,
                0.9997694933412077,
                0.9996646500165182,
                1.012998976633211e-05,
                6.962257078249291e-06,
                1.67014178554179e-05,
                2.430023743140181e-05,
                7.484621774052508e-05,
                0.9997040430082713
            ],
            [
                7.889261641416608e-06,
                0.9978172831723059,
                8.939695233292452e-06,
                7.889263454270373e-06,
                3.120191132631554e-05,
                0.9998415637288695,
                2.75356877287869e-05,
                1.6701425818232042e-05,
                4.006367775556302e-05,
                2.430024336739321e-05
            ],
            [
                0.9998766054118786,
                7.484624339040731e-05,
                1.3007129999045263e-05,
                1.0129995802853624e-05,
                1.0129987354366822e-05,
                5.1442231888421266e-05,
                3.5356254837029014e-05,
                1.6701423824262386e-05,
                0.9999832985821496,
                0.999738809788067
            ],
            [
                4.539789021837975e-05,
                1.3007126908307386e-05,
                0.9989677689951768,
                3.120192250053358e-05,
                0.9992903294789613,
                0.999968798073793,
                2.7535694360340682e-05,
                0.9995694428760638,
                2.430023492769181e-05,
                0.9964063981755741
            ],
            [
                0.9999038976086108,
                0.9996200154762053,
                0.9988304896702134,
                1.1478768093673123e-05,
                1.8925154993072253e-05,
                7.889259760284216e-06,
                1.6701419731029486e-05,
                2.753568762420786e-05,
                1.300712844986705e-05,
                1.147876948662936e-05
            ],
            [
                4.539787943513799e-05,
                1.1478772224477678e-05,
                1.67014258067487e-05,
                6.962254586166343e-06,
                1.1478768116055965e-05,
                1.4738985483879434e-05,
                1.473897669015165e-05,
                6.1441745989959955e-06,
                0.9324533083911025,
                0.9995694429712824
            ],
            [
                3.5356250596660114e-05,
                2.4300249365620815e-05,
                0.9933071475649926,
                0.9999724642991251,
                2.7535694366751658e-05,
                1.8925145971093502e-05,
                4.5397879059919406e-05,
                4.785096775171854e-06,
                4.006369691024619e-05,
                3.535626748276697e-05
            ],
            [
                8.939696301140427e-06,
                5.422217676486429e-06,
                1.1478769488633793e-05,
                6.1441767987808774e-06,
                6.962255418658875e-06,
                2.4300252308334918e-05,
                0.999512142951014,
                6.962258736902953e-06,
                6.962258737979408e-06,
                3.7266379501469723e-06
            ],
            [
                0.005911069411709755,
                0.01243164796039808,
                0.03732688921821231,
                0.005911067994313963,
                5.829129327005879e-05,
                0.0003353501851137611,
                0.9999251537818293,
                0.07585818681131791,
                0.9999724643122099,
                0.9971990727512926
            ],
            [
                3.7266410607194972e-06,
                2.753568449224625e-05,
                2.4300243595999808e-05,
                6.962254589104433e-06,
                1.8925143714394646e-05,
                5.422221554581283e-06,
                1.892515036297531e-05,
                1.6701419840455358e-05,
                1.012998734896796e-05,
                3.120190750017629e-05
            ],
            [
                NaN,
                0.00020342696995168515,
                0.0019267351168866626,
                2.4300249410794055e-05,
                5.8291251608160896e-05,
                3.120190758167528e-05,
                4.006370646121136e-05,
                1.670142777884556e-05,
                0.0001233945892022148,
                4.0063711217164954e-05
            ],
            [
                0.020332355346163247,
                2.902310946400847e-06,
                0.042087725812957326,
                0.9999485577987689,
                0.9992903296670282,
                4.222835456105047e-06,
                0.9740426420957883,
                0.0004878571043615901,
                2.144495093719684e-05,
                5.144219518617526e-05
            ],
            [
                0.9997040427690769,
                0.9953904278889972,
                1.1478770859917257e-05,
                0.9997694932874974,
                0.9999417087486034,
                0.9999599362887858,
                0.9990889487109738,
                3.120190018524592e-05,
                2.430024351078064e-05,
                0.9993736656940024
            ],
            [
                0.022977367610185036,
                4.5397857748103446e-05,
                0.002800927274719998,
                NaN,
                6.605212860208155e-05,
                0.0013250221604142985,
                0.00857748494643876,
                2.4300240716759115e-05,
                4.7850927818311495e-06,
                5.144221961079603e-05
            ],
            [
                1.0129989765963588e-05,
                1.8925145958150083e-05,
                1.8925157244540003e-05,
                1.4738987231065292e-05,
                3.535624646549072e-05,
                4.0063701690975316e-05,
                2.4300243601392304e-05,
                0.0001233945727006391,
                6.96225375833433e-06,
                1.670141983170615e-05
            ],
            [
                1.3007134662054344e-05,
                7.484626251565003e-05,
                0.9999546021151535,
                1.3007130008414434e-05,
                0.9999339478397183,
                0.9978172838132728,
                2.1444950951785568e-05,
                5.422221554374162e-06,
                NaN,
                0.9999038976195891
            ],
            [
                7.484620915426382e-05,
                8.939700565834043e-06,
                1.8925141442067574e-05,
                0.9986749777616372,
                2.4300234925658572e-05,
                3.535625488178903e-05,
                1.892514595381266e-05,
                2.7535684485234246e-05,
                0.9990889490208645,
                0.9999339478554577
            ],
            [
                5.829124433569537e-05,
                6.605212060555127e-05,
                0.998674977494363,
                5.829129326115268e-05,
                0.00013982214000337947,
                0.00013982212291039007,
                3.120190389560577e-05,
                0.004609572164417974,
                0.0002034268984465579,
                0.9992903296429214
            ],
            [
                2.430023780003649e-05,
                5.829128628512799e-05,
                0.9999417087208254,
                0.999512142775606,
                1.670142975762608e-05,
                1.892515270807579e-05,
                0.9997965729553349,
                1.670142781244497e-05,
                4.006367777742476e-05,
                0.9999599363032201
            ],
            [
                1.8925157259824262e-05,
                5.829127219482447e-05,
                5.144221349406656e-05,
                1.892514369573685e-05,
                3.120191125480528e-05,
                0.9998911031321494,
                5.8291279258636216e-05,
                3.535624917668715e-05,
                1.147876812106705e-05,
                8.939700557166892e-06
            ],
            [
                4.006370166911356e-05,
                7.484621802368439e-05,
                0.9998601778936476,
                7.889265405146477e-06,
                1.3007123800251481e-05,
                7.889259759509296e-06,
                1.0129992184544441e-05,
                1.1478769478402829e-05,
                1.3007123793106307e-05,
                1.300713466316634e-05
            ],
            [
                0.9991959139859904,
                0.9968273168637095,
                0.9971990728982638,
                0.9995121427851427,
                2.1444950944374182e-05,
                1.300712535865635e-05,
                8.939694169330997e-06,
                1.1478765386330758e-05,
                7.889263524788109e-06,
                1.1478772221429265e-05
            ],
            [
                4.0063692134764465e-05,
                1.1478765384054893e-05,
                4.53978847760578e-05,
                9.610238003478632e-05,
                0.0001233946327605682,
                1.892514370117584e-05,
                2.430025227368147e-05,
                4.539785229059168e-05,
                4.0063701567383505e-05,
                0.0330859819640103
            ],
            [
                0.9999485577925247,
                1.6701429784906616e-05,
                0.9999546021259933,
                2.7535687784181736e-05,
                4.539785744059611e-05,
                1.1478770859624945e-05,
                3.7266406167827664e-06,
                0.9993736658728235,
                1.3007125356006484e-05,
                1.8925143715220825e-05
            ],
            [
                0.9902915253809457,
                6.605212859439258e-05,
                9.610237973973672e-05,
                6.60521365423872e-05,
                4.5397884800499855e-05,
                2.4300232009732255e-05,
                2.753569107251144e-05,
                0.9997040429040188,
                0.9999417087067125,
                0.9995121428907565
            ],
            [
                7.48462447495725e-05,
                0.9984988180594538,
                5.8291265491498626e-05,
                3.535625490018181e-05,
                0.9993736656996498,
                2.753569101761746e-05,
                0.998498817697021,
                1.3007134661628471e-05,
                0.9999339478554337,
                0.9997040429421997
            ],
            [
                1.147876810891517e-05,
                7.484622648034681e-05,
                1.1478765357203838e-05,
                3.535623790822613e-05,
                1.6701427807888088e-05,
                2.4300234924597754e-05,
                6.605212068147983e-05,
                1.0129995805359584e-05,
                2.1444953508090254e-05,
                NaN
            ],
            [
                2.1444953515423628e-05,
                6.144172399334838e-06,
                8.939700561817559e-06,
                5.144223732060892e-05,
                0.996827317080934,
                4.006369585650956e-05,
                1.3007125359034903e-05,
                4.539787943513799e-05,
                2.144494321109994e-05,
                0.9988304897692138
            ],
            [
                2.430024064356258e-05,
                1.4738987223451347e-05,
                0.9982992773156053,
                6.962257904663309e-06,
                1.4738985482351282e-05,
                1.8925143710057227e-05,
                7.484622629520417e-05,
                1.1478765387416494e-05,
                3.1201900191715896e-05,
                4.006369214992195e-05
            ],
            [
                4.539785231272163e-05,
                0.9999687980849687,
                5.1442201250130194e-05,
                6.144173867451939e-06,
                1.147876812069122e-05,
                0.9997388096657733,
                0.0002959571624404218,
                8.481108040391665e-05,
                8.939696299237883e-06,
                0.9996646497849624
            ],
            [
                3.535623797999648e-05,
                4.0063696893922756e-05,
                6.96225707422208e-06,
                3.7266410600755218e-06,
                0.0203323520069892,
                0.007577239622065666,
                0.999664649774074,
                0.0035936019119638444,
                1.6701421821665273e-05,
                0.00048785715485524713
            ],
            [
                3.535624646356141e-05,
                0.9998766054556901,
                4.2228334437304904e-06,
                1.6701427800050252e-05,
                2.1444948221508646e-05,
                1.3007125347631017e-05,
                3.2887494571676872e-06,
                0.9999038975969765,
                1.3007125356006484e-05,
                6.96225955376837e-06
            ],
            [
                2.7535688864330934e-05,
                1.1478764013398468e-05,
                1.8925148224556773e-05,
                0.9999546021266555,
                2.1444945836212564e-05,
                0.9982992774828201,
                1.8925150468863527e-05,
                1.4738988994498018e-05,
                5.82912723275678e-05,
                2.1444956065331412e-05
            ],
            [
                4.5397863120399e-05,
                9.610240278297259e-05,
                4.5397861970962203e-05,
                4.006368240307893e-05,
                7.484619998317078e-05,
                5.144223790784213e-05,
                3.5356246413913815e-05,
                6.605217594117627e-05,
                4.006370643585172e-05,
                4.539786860697828e-05
            ],
            [
                0.9999756997477076,
                1.8925145966893773e-05,
                4.539789001326461e-05,
                0.00010889696028012524,
                1.3007128457485415e-05,
                1.3007128456539035e-05,
                0.9999810748585416,
                0.9993736659861352,
                0.9999646437493086,
                1.6701417849645853e-05
            ],
            [
                0.999954602109754,
                0.9999546021206008,
                2.144494840687132e-05,
                2.4300240711101413e-05,
                3.5356250648880135e-05,
                0.9980732655587508,
                8.939695236398313e-06,
                2.4300249363852786e-05,
                0.9995694429299733,
                1.3007134656423374e-05
            ],
            [
                2.4300232005488976e-05,
                0.999512142833678,
                1.3007130008414434e-05,
                0.9982992778636982,
                0.9997965731021218,
                3.726638394957837e-06,
                5.8291244557923705e-05,
                1.3007130004960144e-05,
                1.892515048889829e-05,
                4.006371121133516e-05
            ],
            [
                2.753570091766895e-05,
                8.481104103127398e-05,
                2.4300240681044865e-05,
                6.144176794522774e-06,
                0.9998204719722069,
                0.9997965729322911,
                0.9999687980887134,
                5.144220741701067e-05,
                4.785095633477187e-06,
                0.9999038975510453
            ],
            [
                7.889260698453844e-06,
                1.012999218277553e-05,
                6.605216031765658e-05,
                3.120191504371423e-05,
                0.9991959140897182,
                1.6701421835335913e-05,
                1.6701419816820344e-05,
                1.1478766752748805e-05,
                5.8291265292171594e-05,
                2.430024069660355e-05
            ],
            [
                4.00637110314857e-05,
                5.829127908729975e-05,
                0.9998415638405949,
                1.1478772217295121e-05,
                0.9999756997505882,
                8.939693103938694e-06,
                2.7535694337100886e-05,
                4.785096205651846e-06,
                1.3007126900026555e-05,
                1.1478766754941153e-05
            ],
            [
                2.4300246516082393e-05,
                2.7535687767453096e-05,
                1.8925152744083297e-05,
                6.9622554185195676e-06,
                6.1441775291964935e-06,
                2.1444958621558693e-05,
                0.9999756997534934,
                1.4738987237553233e-05,
                0.9964063977320489,
                1.6701427793184552e-05
            ],
            [
                6.605212059690116e-05,
                3.5356250691324983e-05,
                3.1201903906162046e-05,
                4.006368735141308e-05,
                5.144220744545534e-05,
                0.9980732654401001,
                0.9998204720995318,
                4.222831933726245e-06,
                0.9982992778984852,
                0.9990889489736577
            ],
            [
                0.9994472213292139,
                0.9998766053671119,
                0.9998911030781849,
                6.962256248314727e-06,
                4.539786858616951e-05,
                0.9988304899566076,
                0.9996200155622117,
                0.9997965730779887,
                4.5397873685309896e-05,
                2.430023779862206e-05
            ],
            [
                1.670141784666869e-05,
                0.9992903296904334,
                0.9997965729310007,
                2.4300246514137558e-05,
                0.9993736658375914,
                0.998299277833062,
                1.8925143718318983e-05,
                3.535626328432693e-05,
                4.00636778083227e-05,
                0.9999151889588225
            ],
            [
                3.5356238040705445e-05,
                2.7535691088138193e-05,
                0.9999485577925141,
                3.5356254837029014e-05,
                1.892515725149365e-05,
                3.120191504553037e-05,
                1.1478765387416494e-05,
                1.0129993392342568e-05,
                0.9996200154732647,
                1.0129993384861544e-05
            ],
            [
                1.670142178794436e-05,
                2.7535687765650007e-05,
                4.5397884720898016e-05,
                1.892514143986444e-05,
                0.9999921107383832,
                7.484623578322112e-05,
                8.939693099645775e-06,
                7.484620867507118e-05,
                6.605215194868775e-05,
                2.4300249374107374e-05
            ],
            [
                1.1478773592378984e-05,
                0.9999546021206461,
                1.4738983724146862e-05,
                0.9953904276219215,
                0.9971990736922984,
                8.939699484488867e-06,
                1.4738981967202704e-05,
                3.120192621804711e-05,
                7.484620903991103e-05,
                2.7535687730990673e-05
            ],
            [
                0.9989677691041762,
                5.829127241747701e-05,
                0.0046095724955917405,
                6.605215242107913e-05,
                7.88925976283858e-06,
                4.222833946937338e-06,
                6.605213666348852e-05,
                7.889263523869684e-06,
                6.962258737814774e-06,
                5.8291244557923705e-05
            ],
            [
                7.484620028266614e-05,
                0.00026119032617099674,
                3.5356267216521905e-05,
                0.0017007227881627488,
                0.0009110512525747138,
                0.010986944745666076,
                7.88926070020459e-06,
                1.1478772221429265e-05,
                0.02297737216805113,
                5.144220119099521e-05
            ],
            [
                4.006370159041123e-05,
                0.00012339460388863702,
                3.1201900194894126e-05,
                0.9998204720787037,
                0.00013982210640330853,
                6.605213660534067e-05,
                3.120191869028414e-05,
                0.9998415638405372,
                5.829125833184195e-05,
                0.999915188979195
            ],
            [
                0.996827317080934,
                2.75356877073502e-05,
                0.9997694933408053,
                1.8925145982350146e-05,
                1.8925148230890784e-05,
                0.9999646437619575,
                5.422221553910605e-06,
                3.53562590871736e-05,
                1.0129990973503458e-05,
                1.3007130011655787e-05
            ],
            [
                2.1444945842219688e-05,
                1.892515248459518e-05,
                3.1201903886071075e-05,
                7.889262572899187e-06,
                4.222832940162684e-06,
                8.939696298945184e-06,
                3.726638394957837e-06,
                3.726637951079042e-06,
                1.1478766752748805e-05,
                1.1478773596283455e-05
            ],
            [
                5.829125836916275e-05,
                5.1442238057176775e-05,
                8.93969736654937e-06,
                2.4300252296223892e-05,
                0.9890130565092098,
                4.539786303253974e-05,
                2.1444950954750122e-05,
                2.144494327218535e-05,
                1.4738981965808603e-05,
                3.5356246446326235e-05
            ],
            [
                1.3007131558917768e-05,
                0.999769493262091,
                5.8291244479465225e-05,
                0.9999151889184656,
                2.4300243612265703e-05,
                1.1478772206270732e-05,
                0.9998601778763552,
                4.5397889354650145e-05,
                0.9914225131686284,
                0.00010889694669156754
            ],
            [
                0.0006263340606832759,
                0.014063625002901379,
                0.00010889689322466578,
                0.0001233946318377292,
                0.00010889695940707303,
                1.892515270807579e-05,
                0.00012339463340871004,
                4.539786855677299e-05,
                6.60521445480501e-05,
                5.144222573239177e-05
            ],
            [
                0.9999599363173896,
                0.9989677690656423,
                5.1442195022244135e-05,
                0.9999687980812655,
                4.006367757658819e-05,
                0.20181321745968234,
                4.006370646616669e-05,
                2.430023782328611e-05,
                6.605212076750022e-05,
                2.753568450937557e-05
            ],
            [
                8.481101790132038e-05,
                2.753568449224625e-05,
                0.9999339478633428,
                2.7535684522397864e-05,
                1.6701427806612162e-05,
                1.1478765384764794e-05,
                2.1444948375821515e-05,
                1.1478770858706246e-05,
                0.9991959139189275,
                2.430023491549239e-05
            ],
            [
                8.939696301140427e-06,
                3.1201926235527406e-05,
                6.144176066051891e-06,
                2.1444958631232504e-05,
                0.9999810748450274,
                6.962255419051463e-06,
                0.9998911030522754,
                1.4738980207363312e-05,
                2.144494839938192e-05,
                0.9999646437408817
            ],
            [
                5.829125842132705e-05,
                0.9986749773937693,
                0.999447221471964,
                1.0129995807165349e-05,
                1.8925150487521332e-05,
                5.829128618376804e-05,
                6.605213666925526e-05,
                8.939696295432792e-06,
                2.753570085726551e-05,
                0.9995121429684413
            ],
            [
                6.60521286981937e-05,
                7.88926070328992e-06,
                2.1444940721576954e-05,
                0.9933071503171078,
                4.539786842927798e-05,
                8.939699500327152e-06,
                0.9995694428799216,
                0.9940889298768559,
                2.144494328201519e-05,
                1.6701421833391647e-05
            ],
            [
                3.1201900183543295e-05,
                2.753570091616638e-05,
                1.1478764015736973e-05,
                2.4300252308334918e-05,
                7.88925976126004e-06,
                6.14417606031854e-06,
                2.144494328201519e-05,
                2.7535680986845757e-05,
                0.9975273765372745,
                0.9986749777810473
            ],
            [
                0.9999485577986705,
                0.9999687980886754,
                9.610243676123305e-05,
                0.9999724643187803,
                1.1478766672028598e-05,
                5.144223188355573e-05,
                0.9986749778175568,
                2.7535691060090174e-05,
                1.8925150485318196e-05,
                5.829125151613121e-05
            ],
            [
                5.829125833184195e-05,
                2.753570092478113e-05,
                0.999876605470091,
                1.473898537824936e-05,
                1.0129987353537646e-05,
                8.93969310000352e-06,
                2.4300243591756525e-05,
                0.9993736657036577,
                1.0129994596087078e-05,
                5.829126511150498e-05
            ],
            [
                4.539788479389389e-05,
                1.8925150482908516e-05,
                8.93969842238067e-06,
                2.144495861531752e-05,
                0.9997694933136282,
                0.9999756997593172,
                0.9999599363079249,
                1.670142979875954e-05,
                0.9999339478712346,
                9.610239047898303e-05
            ],
            [
                2.7535684521195802e-05,
                6.962254588281262e-06,
                0.99962001556471,
                0.9999785550440025,
                0.9993736658454248,
                0.9990889486116858,
                2.1444956056827822e-05,
                0.9997965729562702,
                0.9999038975967276,
                7.889266345770692e-06
            ],
            [
                0.9999546021319516,
                0.9999724643089521,
                0.9999756997506227,
                0.9999756997622276,
                0.9999038975995522,
                0.997817283787411,
                0.9999810748472753,
                0.9999785550465567,
                0.00023050662415695283,
                2.4300243572661777e-05
            ],
            [
                0.999512142901457,
                3.120190385315366e-05,
                4.53978630232914e-05,
                4.539785771309187e-05,
                4.539788480710582e-05,
                8.939694167314623e-06,
                3.535625486069523e-05,
                2.4300240645684218e-05,
                4.0063677758769415e-05,
                8.939697358126137e-06
            ],
            [
                5.8291265213288994e-05,
                1.0129993393319151e-05,
                5.144221348433549e-05,
                7.889262581337206e-06,
                1.892515499864894e-05,
                0.9997388095795324,
                2.144495094975719e-05,
                3.120191503962793e-05,
                4.0063677466404995e-05,
                0.9978172830414755
            ],
            [
                1.8925145972677006e-05,
                2.14449483869776e-05,
                3.120192251903545e-05,
                4.006368733421517e-05,
                1.0129992185539456e-05,
                7.88926446430712e-06,
                3.120190017276001e-05,
                0.9971990727714524,
                0.999841563746624,
                2.7535687754230455e-05
            ],
            [
                8.939693101694668e-06,
                0.999796572931628,
                2.1444940724775554e-05,
                4.006370629681092e-05,
                6.60521189697227e-05,
                1.4738985478678359e-05,
                2.430025212728833e-05,
                1.0129988548731703e-05,
                7.889266344321303e-06,
                5.144220131787343e-05
            ],
            [
                2.1444950947650794e-05,
                6.962258737092915e-06,
                3.5356254845260744e-05,
                2.7535681236473055e-05,
                2.7535684498857565e-05,
                7.889265397425975e-06,
                6.144175333289463e-06,
                5.422217029509618e-06,
                0.9999339478320515,
                7.889260694952355e-06
            ],
            [
                3.535625906993841e-05,
                0.9998911030651018,
                3.120192245830845e-05,
                0.9997965730031214,
                2.4300234912928744e-05,
                6.144173128017633e-06,
                6.144172403470001e-06,
                5.829129318184594e-05,
                0.9975273768680593,
                0.9984988174808176
            ],
            [
                4.539788466705942e-05,
                2.144494838814782e-05,
                3.535625910055016e-05,
                3.1201922495312196e-05,
                3.120189994687847e-05,
                1.8925150403320236e-05,
                1.670142182257665e-05,
                2.144494328201519e-05,
                4.006369689100785e-05,
                1.3007126896099073e-05
            ],
            [
                4.006369212106443e-05,
                0.9997965730270088,
                7.889264462211963e-06,
                7.889265402362503e-06,
                3.1201914908639275e-05,
                4.0063706483364614e-05,
                0.9997965730524824,
                0.9995121428329117,
                0.999954602136831,
                0.9996200154271773
            ],
            [
                0.9996646497794694,
                0.9933071500694485,
                2.753568778267916e-05,
                4.006370642681552e-05,
                0.9998911031302067,
                4.5397862694975263e-05,
                0.9796676448393464,
                3.120190018172716e-05,
                1.892514821904893e-05,
                0.9996200155225029
            ],
            [
                0.9998601779102584,
                0.999983298582147,
                9.61023905167382e-05,
                3.535624221033144e-05,
                7.8892654060075e-06,
                0.998073264979825,
                4.539785768600744e-05,
                3.7266410397326563e-06,
                0.9999546021152834,
                2.144494309532631e-05
            ],
            [
                0.004609571478567864,
                0.006692852113050129,
                8.481108139980226e-05,
                9.61024489421746e-05,
                0.00023050682381337665,
                3.5356267471448335e-05,
                2.1444945830751543e-05,
                0.0002305067667897459,
                0.11920293453832885,
                2.4300246486733047e-05
            ],
            [
                3.535626327403727e-05,
                4.785092782396909e-06,
                0.9996200154765259,
                0.999860177893495,
                0.9994472213347773,
                7.889259758935282e-06,
                1.6701417854810315e-05,
                4.0063711121847665e-05,
                2.753570090154133e-05,
                4.006367772116721e-05
            ],
            [
                1.012999459815081e-05,
                1.1478773581396351e-05,
                2.753570086628095e-05,
                0.9996200154274757,
                1.6701425799579208e-05,
                5.422220260508458e-06,
                2.5612815996930587e-06,
                2.7535691038453127e-05,
                1.147876812106705e-05,
                6.144176798590883e-06
            ],
            [
                1.4738985440876734e-05,
                1.8925150468863527e-05,
                0.9999485577618811,
                5.829125116964155e-05,
                2.1444948380970476e-05,
                4.222834446219123e-06,
                1.4738976694494812e-05,
                0.9988304897632303,
                2.5612812940671274e-06,
                1.3007134660350856e-05
            ],
            [
                0.999983298574187,
                1.3007126908307386e-05,
                0.9933071483203539,
                0.9999646437408781,
                0.9706877706795866,
                1.8925154967805033e-05,
                0.9998601779461777,
                0.9999038975397369,
                0.9998415637082565,
                3.1201907610960436e-05
            ],
            [
                0.9999785550490369,
                0.9999417087486615,
                6.144172403592939e-06,
                0.9999339478632836,
                1.3007123808910861e-05,
                2.1444940717130123e-05,
                5.144221334697763e-05,
                1.6701423813386632e-05,
                9.610239146061734e-05,
                1.6701415858046724e-05
            ],
            [
                0.999903897539618,
                4.006370163238581e-05,
                0.9999151889790573,
                5.829126543170052e-05,
                1.0129993389283824e-05,
                1.4738988984685677e-05,
                3.535625487278559e-05,
                7.889261642578988e-06,
                0.9947798747199403,
                0.9986749775595255
            ],
            [
                0.9995121428898766,
                0.9999485577802993,
                0.9982992775002136,
                0.9999339478239792,
                2.753570092878799e-05,
                1.473898195422683e-05,
                0.00010889694667096923,
                0.9998204719492866,
                1.473898371722997e-05,
                2.7535704202894907e-05
            ],
            [
                1.8925141465200488e-05,
                0.9940889299616807,
                0.999088948894185,
                0.9994472212713934,
                6.962258739068529e-06,
                5.829126536893371e-05,
                NaN,
                4.006370169593065e-05,
                2.1444943270937118e-05,
                3.120192620522066e-05
            ],
            [
                0.9989677692038123,
                2.4300240703498875e-05,
                1.4738981957068655e-05,
                7.889260700462896e-06,
                1.4738980212296288e-05,
                0.9991959140658674,
                1.670142382681424e-05,
                2.1444950929395377e-05,
                2.7535704202894907e-05,
                1.892515725149365e-05
            ],
            [
                5.1442213565178264e-05,
                2.1444948395559206e-05,
                2.4300249411766472e-05,
                7.889266345957247e-06,
                1.6701423785316245e-05,
                1.4738980200124708e-05,
                6.1441738684354385e-06,
                1.670141586150995e-05,
                2.753569434050672e-05,
                2.1444940721576954e-05
            ],
            [
                0.9999646437366749,
                1.4738981957765705e-05,
                1.0129987353832463e-05,
                0.9998911031169715,
                5.144223195990727e-05,
                0.9999687980774927,
                3.120191877791261e-05,
                2.753570090154133e-05,
                2.1444948115408798e-05,
                0.9999251537747894
            ],
            [
                1.8925141448401585e-05,
                3.120191876292951e-05,
                0.9995121427863632,
                6.9622545872301346e-06,
                4.006369208491967e-05,
                1.012999459815081e-05,
                0.9999417087141169,
                3.535626321384274e-05,
                0.0001398221207905503,
                1.8925143717561654e-05
            ],
            [
                4.006370643585172e-05,
                0.9997388097616582,
                4.006370166619866e-05,
                3.535625487278559e-05,
                2.1444956079842134e-05,
                3.5356254902111115e-05,
                2.7535691044062732e-05,
                4.539788478332436e-05,
                1.6701417848187652e-05,
                5.1442195079882024e-05
            ],
            [
                1.8925148232267744e-05,
                0.9997388096037146,
                7.889261642578988e-06,
                0.9999038975741654,
                2.1444948404530884e-05,
                2.4300246270502656e-05,
                5.14422011483282e-05,
                0.9999687980960955,
                0.9971990729789029,
                5.829127214732525e-05
            ],
            [
                0.9999038975623424,
                0.033085977316112354,
                2.7535681224252135e-05,
                0.9999151889489679,
                0.9992903296678539,
                0.10669059252545564,
                0.9999038975508551,
                0.9994472214168127,
                0.18242551936144574,
                7.889260703763482e-06
            ],
            [
                3.53562548344566e-05,
                1.892515032331887e-05,
                5.829128592294642e-05,
                3.535626751800907e-05,
                5.144223188355573e-05,
                3.535625013053855e-05,
                4.006369678811185e-05,
                2.4300243607668818e-05,
                2.753569089661028e-05,
                3.120190387585532e-05
            ],
            [
                1.3007134659924986e-05,
                0.9999339478399557,
                4.006370638367498e-05,
                NaN,
                0.9994472213562589,
                0.9984988175518384,
                2.7535690999185903e-05,
                6.962255416961874e-06,
                1.3007125350754073e-05,
                5.422219614438727e-06
            ],
            [
                1.4738976682001517e-05,
                4.785093923768848e-06,
                1.1478765377456965e-05,
                2.430024648531862e-05,
                NaN,
                7.338209800689025e-07,
                6.144173136243255e-06,
                0.9997388097562244,
                2.7535687658266172e-05,
                4.0063711205213854e-05
            ],
            [
                1.4738976696800444e-05,
                NaN,
                0.9997388095690449,
                1.4738980209829803e-05,
                1.1478764014985311e-05,
                0.9996646497353594,
                2.144495862967221e-05,
                3.535626750128837e-05,
                0.9997040427985349,
                9.610242322670005e-05
            ],
            [
                0.9997388096627108,
                4.006367777742476e-05,
                0.999915188938561,
                6.1441724029223715e-06,
                3.12019113163268e-05,
                1.1478770847306026e-05,
                0.9999339478475732,
                0.9999151889486434,
                1.4738976691867467e-05,
                5.829124455283451e-05
            ],
            [
                0.9999417087415362,
                0.9991959139981028,
                0.9998911031171046,
                2.1444950951785568e-05,
                0.9999151889389054,
                1.6701415867221242e-05,
                1.6701415859504925e-05,
                0.9996646499450309,
                0.99970404283892,
                8.481108083460324e-05
            ],
            [
                4.539787399744151e-05,
                5.422218969029887e-06,
                0.9999687980923967,
                0.9875683496156059,
                1.1478772221888615e-05,
                1.1478766733999e-05,
                0.9989677690034597,
                0.9999485577743263,
                0.9998415637843528,
                1.0129990979031306e-05
            ],
            [
                2.753568778107642e-05,
                0.9998911030909019,
                2.144494583730477e-05,
                0.9999810748472809,
                2.7535687791694597e-05,
                0.9999485577741295,
                5.144223199845732e-05,
                0.9988304895236164,
                0.9999151889183892,
                0.9999869928715642
            ],
            [
                0.9999417087071142,
                0.999968798081254,
                6.9622570777680525e-06,
                0.9999485578048636,
                0.9999599362889109,
                1.8925143651811843e-05,
                7.484625370612328e-05,
                0.9997965730557085,
                3.535625066945945e-05,
                0.9994472214091591
            ],
            [
                0.00017952794273043028,
                6.605216014561575e-05,
                5.4222170296279735e-06,
                0.00017952804837567186,
                0.9964063968750114,
                2.144494329192304e-05,
                0.0004305571640177431,
                7.484626284672882e-05,
                2.144494326336971e-05,
                3.5356263314938686e-05
            ]
        ]
    },
    {
        "q_id": "10427_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            40,
            88
        ],
        "rewards": [
            [
                0.9964063980872024,
                0.9626731158685838,
                0.8807970795424088,
                0.9859363715362616,
                0.9465966703884945,
                0.998674977519473,
                0.8519528019683106,
                0.00591107024901322,
                0.9875683486665885,
                0.9579122720843811
            ],
            [
                5.829126553475683e-05,
                1.8925148238291944e-05,
                0.005220125504944938,
                0.0002959571682011393,
                4.006370172712009e-05,
                0.9796676485495397,
                6.144172404380855e-06,
                6.144177531660828e-06,
                8.939694172542558e-06,
                0.003593602989930189
            ],
            [
                0.9998415638401937,
                0.999373665832782,
                0.9324533140223228,
                0.9999546021205518,
                0.9820137897418143,
                0.11920292671569666,
                0.9996200155160025,
                0.9999339478710932,
                0.9992903296252953,
                0.9933071500973102
            ],
            [
                0.7981867729389246,
                3.288750241500471e-06,
                0.9924227591768542,
                0.9525741263175447,
                0.9740426453923908,
                0.9991959139649924,
                0.996827317199487,
                0.9999599363126256,
                0.00026119024686862457,
                0.9959298619500002
            ],
            [
                0.9914225155604338,
                0.00012339455987964702,
                0.9953904270792239,
                0.9978172839370036,
                0.9999885212264037,
                0.9999852610180312,
                0.9997388096909586,
                0.9820137920776683,
                0.9991959140603955,
                0.9996200155613383
            ],
            [
                5.422221555340727e-06,
                9.610240345767146e-05,
                0.34864514210180597,
                0.0031726833432060403,
                0.5312093733737563,
                1.0677027427471959e-06,
                4.7850933535659155e-06,
                NaN,
                2.260323758939877e-06,
                1.9947306726213275e-06
            ],
            [
                0.9399133443558416,
                0.00010889690917726991,
                0.001926734814215367,
                0.9820137881297458,
                3.120192624733229e-05,
                0.00037998443902647396,
                0.00020342704588447529,
                0.00020342704566842073,
                3.120190020613144e-05,
                7.484622722255103e-05
            ],
            [
                0.00010889689627400873,
                6.962257079376403e-06,
                8.481105099876433e-05,
                2.430024941371131e-05,
                0.962673113860638,
                9.610243782956492e-05,
                5.42222090882208e-06,
                7.889262585211807e-06,
                0.0013250222348197228,
                5.829127247176183e-05
            ],
            [
                0.9890130568431686,
                0.9890130599499977,
                0.9964063967499572,
                0.9986749773645001,
                0.9947798736317857,
                0.9959298624558747,
                0.9947798747465397,
                0.0015011824111679666,
                3.120192252437034e-05,
                0.7549149813536518
            ],
            [
                0.9992903296247999,
                0.946596667563714,
                1.1478765386330758e-05,
                8.939697368500698e-06,
                0.7057850216484839,
                5.8291244643591885e-05,
                0.651354857898194,
                0.9933071476733436,
                0.0028009269788266435,
                0.9149009474519222
            ],
            [
                1.4738985484871391e-05,
                0.9669140200619966,
                4.785094494716039e-06,
                0.00033535010948957305,
                0.0010322307999090848,
                0.7981867729389246,
                1.4738978456049602e-05,
                0.0007096703625274494,
                8.48110109893614e-05,
                0.9669140216112958
            ],
            [
                0.9997694932848212,
                0.9859363726080881,
                0.9996200155180698,
                0.6224593312018546,
                0.9924227571248623,
                0.9988304896046664,
                0.0003799845191406212,
                2.7535697661092444e-05,
                0.9953904280983844,
                0.9998204720983304
            ],
            [
                8.481108163797566e-05,
                0.9996646497734691,
                0.9953904269232516,
                0.9998601779430752,
                8.939698435096828e-06,
                1.2098661161982042e-06,
                0.9999724643056319,
                0.9999756997563761,
                0.9626731087738417,
                6.60521210438226e-05
            ],
            [
                0.9999038975507067,
                0.9999810748495086,
                0.9986749778388154,
                0.999876605410638,
                0.00037998452991905404,
                0.9982992778925557,
                0.9996646497725129,
                0.9149009497722477,
                0.9993736657497475,
                0.9046505254608135
            ],
            [
                0.9947798745506718,
                6.605214468116544e-05,
                0.9933071485680133,
                2.4300249421225448e-05,
                6.605217616367606e-05,
                0.003593603043286613,
                0.0001795279659172125,
                0.0002611904330981433,
                3.535626756251187e-05,
                0.9149009619539554
            ],
            [
                0.9859363747904816,
                0.9959298623841463,
                0.9996200155180035,
                0.9953904272693817,
                0.9241418231126367,
                0.9989677691628774,
                0.9988304900020283,
                4.785093353787868e-06,
                0.8933094017937621,
                0.9984988176893431
            ],
            [
                0.9999885212264061,
                0.9999339478553727,
                0.9999852610197926,
                0.9999646437535449,
                0.999903897573904,
                0.9978172832149018,
                0.9999646437493261,
                0.9999980052700408,
                0.9999852610162742,
                0.9998911031300973
            ],
            [
                0.9988304896426075,
                0.9980732651553385,
                0.9999417087414523,
                0.9902915250944196,
                0.9999546021422182,
                0.999860177859431,
                0.9996646500111618,
                0.9999832985721941,
                0.9989677688116303,
                0.9999251537460537
            ],
            [
                0.9940889312094271,
                0.9947798748094108,
                0.999738809567259,
                0.9999485577925075,
                0.9999417087205921,
                0.40733340004593027,
                0.9998415638211783,
                0.9984988175865636,
                0.9999251537727715,
                0.999964643749305
            ],
            [
                0.9999756997476907,
                0.9997965729541156,
                0.9993736657546297,
                0.946596667563714,
                0.9902915213248099,
                0.9996646499695202,
                0.9999151889285448,
                0.9989677691680393,
                0.9993736659006232,
                0.9980732653158526
            ],
            [
                2.561283126639892e-06,
                1.553497754577351e-06,
                2.2603237589676295e-06,
                1.0677032518700286e-06,
                9.422449308716635e-07,
                1.3709572068422585e-06,
                5.8291244660131775e-05,
                2.7535704212311033e-05,
                5.715002426439334e-07,
                2.5612815999679353e-06
            ],
            [
                0.9046505428129514,
                0.9706877706265887,
                0.9984988180678297,
                0.9999938558246686,
                0.9971990725874132,
                0.9940889303365519,
                0.9999962733602723,
                0.9997965729301778,
                0.9991959140769977,
                0.9999339478239252
            ],
            [
                1.6701425824307884e-05,
                9.610246077702839e-05,
                0.06008664659737082,
                0.00015843629185879624,
                0.9525741269907294,
                7.889261645269683e-06,
                0.924141819456443,
                0.7057850278370112,
                0.7057850278370112,
                7.889266347636241e-06
            ],
            [
                3.7266406168624155e-06,
                0.9989677689333544,
                0.9999724643187513,
                0.9964063965915554,
                6.144173136885882e-06,
                0.9241418210233833,
                0.9997388096287174,
                0.9993736659752047,
                0.9995121428245953,
                3.726639284050988e-06
            ],
            [
                5.043474081993875e-07,
                7.889265406567165e-06,
                1.2098655392811161e-06,
                2.2603240283888175e-06,
                1.3007123812317831e-05,
                4.78509563546605e-06,
                6.475946438042047e-07,
                1.0677027427600627e-06,
                1.3007131561047124e-05,
                2.5612819053586272e-06
            ],
            [
                0.9982992778897885,
                0.9964063979513104,
                0.9990889487704724,
                0.9980732651513088,
                0.9997388096287174,
                0.9984988177078399,
                0.9996646500118544,
                0.9890130549709748,
                0.999738809628649,
                0.9997965730025976
            ],
            [
                0.1329642384799526,
                0.8354835289107309,
                0.8807970873650401,
                0.8175744761936437,
                8.481102110555223e-05,
                0.06008665101556925,
                0.22270014398423355,
                0.5312093733737563,
                0.8670357512127872,
                0.7549149868676283
            ],
            [
                0.00037998443924756994,
                0.0010322309221133142,
                1.4738978457336465e-05,
                0.16451646699291617,
                0.9046505248181418,
                7.889264466230069e-06,
                0.04208772941751999,
                0.001169510470943918,
                0.02931223223529719,
                0.7772998611746911
            ],
            [
                8.939700565996655e-06,
                0.0005527785450155708,
                5.144221978689107e-05,
                0.0004305569865444314,
                0.9875683479576838,
                2.75356812513986e-05,
                5.144222590680261e-05,
                1.3007128464346676e-05,
                0.985936373124631,
                5.829126553136402e-05
            ],
            [
                0.994779874533745,
                0.00033535018646018593,
                1.1478770861650256e-05,
                5.1442201388797985e-05,
                0.0002611904336605179,
                4.222831934321543e-06,
                0.40733340004593027,
                3.726638839806038e-06,
                0.00015843617868571992,
                0.8519528000888386
            ],
            [
                0.0001584362729193875,
                0.00012339455991555511,
                0.3775406687981454,
                5.8291251603919903e-05,
                0.00013982202386386111,
                0.0002611902465266402,
                1.147876675686207e-05,
                0.00023050679708564394,
                0.348645142101806,
                5.829126551185543e-05
            ],
            [
                9.610239203393652e-05,
                8.939695237813028e-06,
                5.144220132161615e-05,
                0.00012339461879050975,
                0.0013250222383628383,
                1.994729245842213e-06,
                0.0006263342529487217,
                2.902311985146426e-06,
                1.760343423160973e-06,
                8.315277302747361e-07
            ],
            [
                0.679178692681616,
                0.9914225141506943,
                5.1442195242316055e-05,
                0.8519527944504227,
                0.6224593312018546,
                0.03732688560390975,
                2.7535681248693975e-05,
                0.7981867753392728,
                0.9579122755387536,
                0.679178686187839
            ],
            [
                8.481108161946477e-05,
                4.539787942390787e-05,
                7.889261644358435e-06,
                7.484625396641216e-05,
                8.315284241597959e-07,
                1.8925145983348442e-05,
                0.9046505344582187,
                0.9626731087738417,
                3.535625913514915e-05,
                4.222834451254188e-06
            ],
            [
                3.535623806720131e-05,
                0.9399133527714579,
                0.9992903294541116,
                0.9968273164049608,
                0.8807970811069351,
                0.7057850278370112,
                0.9626731101124724,
                0.9982992778828707,
                0.9998204720340175,
                0.9706877703615993
            ],
            [
                0.9579122699817195,
                3.12019002110123e-05,
                0.9984988180920851,
                0.9669140224455339,
                0.8670357735451834,
                0.9997040429017627,
                0.9579122684798184,
                0.9982992772794348,
                0.9399133468805266,
                0.7549149923816048
            ],
            [
                0.8807970889295663,
                0.00017952794484876747,
                0.00116951023268997,
                6.60521210438226e-05,
                0.0003353500303725043,
                0.880797085800514,
                0.7549149868676283,
                8.481104132991612e-05,
                0.00048785712048322937,
                0.003172683595039204
            ],
            [
                0.999975699759281,
                0.9999885212277733,
                0.9999687980998182,
                0.9999967112513269,
                0.9999910602994376,
                0.9999957771675625,
                0.9999980052707541,
                0.999994577778445,
                0.9999810748472612,
                0.9999251537907063
            ],
            [
                0.9626731131913228,
                0.4073334000459302,
                0.4378234991142019,
                0.9046505428129514,
                0.5621765008857981,
                0.9579122702820998,
                0.9579122696813392,
                0.914900952092573,
                0.880797068590724,
                0.8354835432479661
            ],
            [
                2.4300234937239182e-05,
                1.6701423833436905e-05,
                2.144494329769612e-05,
                0.00012339463322557856,
                2.7535687813231466e-05,
                5.8291272439530227e-05,
                0.0001795280507865552,
                1.892515500450102e-05,
                4.785094494576774e-06,
                0.0008040858531802049
            ],
            [
                0.8670357615200474,
                0.9953904267950554,
                0.679178692681616,
                0.9875683469057608,
                0.9914225126221562,
                0.9626731122542813,
                0.9399133561377043,
                0.9820137891825252,
                0.9796676476961954,
                0.7310585669110202
            ],
            [
                0.0009110510934702347,
                0.00015843617874104432,
                6.144176066264237e-06,
                0.00037998448282559584,
                0.00048785711381318486,
                0.9998204719485109,
                0.9525741311981335,
                0.9995121429416192,
                0.9998766053664029,
                1.4738976699427788e-05
            ],
            [
                1.0129993393945642e-05,
                7.484624500496053e-05,
                6.60521524950855e-05,
                0.0011695102162352184,
                0.0015011822670323893,
                0.01243164983556476,
                0.904650536386234,
                0.9740426406829585,
                0.00015843629196944517,
                0.9964063975569731
            ],
            [
                0.00033535023022875386,
                0.0028009274906246194,
                0.7057850340255386,
                0.0003353500296992922,
                5.82912932832059e-05,
                6.6052121039017e-05,
                1.892515500388139e-05,
                0.0005527786046368024,
                0.995390428765005,
                0.974042641059713
            ],
            [
                0.999997097688361,
                0.9999885212305079,
                0.9999151889688949,
                0.999991060306894,
                0.9859363755394686,
                0.9998204719916403,
                0.9999151889183892,
                0.9998911030388833,
                0.9998204719488529,
                0.9999810748472503
            ],
            [
                0.5312093733737563,
                0.9525741276639141,
                0.9990889488788732,
                0.9924227587111291,
                0.0031726829794470612,
                3.726641061058432e-06,
                2.5612828213818346e-06,
                0.7057850216484838,
                3.53562507106181e-05,
                0.9982992777565701
            ],
            [
                0.9994472213244222,
                0.9998911031167418,
                0.9996646498510153,
                0.9953904289017477,
                0.9998415637642725,
                0.9999151889283443,
                0.9996646498505665,
                0.9992903295351008,
                0.9984988176893431,
                0.9989677691623973
            ],
            [
                2.43002465110435e-05,
                0.9999785550439229,
                0.0002959570595397323,
                0.9999832985821414,
                0.0004878572140341606,
                0.9999852610162742,
                0.9999417087275562,
                1.8925155002710973e-05,
                0.9999485577802507,
                0.9999898700114365
            ],
            [
                0.000709670372682068,
                0.9840936063055303,
                0.00013982210732692383,
                0.9241418215456966,
                0.9579122696813392,
                0.8175744806385543,
                0.9399133515091156,
                0.9924227578777262,
                0.985936371768706,
                0.9859363703223858
            ],
            [
                3.288749849477628e-06,
                0.006692851441273895,
                5.4222215550004564e-06,
                2.2603251061664e-06,
                2.9023109471689794e-06,
                0.8670357615200474,
                8.939696303758459e-06,
                3.535624649172935e-05,
                0.00017952796574743205,
                1.8925150496161756e-05
            ],
            [
                5.8291244660131775e-05,
                0.999512142940654,
                1.300712536203966e-05,
                9.4224425692559e-07,
                2.9023130230133794e-06,
                0.00015843623543706874,
                1.994729721482609e-06,
                9.422448185435711e-07,
                2.9023116391477434e-06,
                8.315282259051341e-07
            ],
            [
                0.9999756997592735,
                0.9999910603036972,
                0.9999724643187674,
                0.9999898700114389,
                0.9999974387168733,
                0.9999687980998293,
                0.9999974387184001,
                0.999991060302632,
                0.9999724643023546,
                0.9999967112509348
            ],
            [
                0.9999646437366619,
                0.9999599362982898,
                0.9997388096004012,
                0.9999869928668863,
                0.9999251537907135,
                0.9999852610197931,
                0.9999687980849195,
                0.9997388096298574,
                0.9993736659902158,
                0.9999962733620493
            ],
            [
                2.144494329769612e-05,
                4.5397863184146494e-05,
                0.4378234991142019,
                0.07585817793199001,
                0.9964063968299919,
                2.561283431986506e-06,
                0.0004878570563372735,
                2.2603248367173307e-06,
                0.7549149923816048,
                6.9622562489985925e-06
            ],
            [
                2.9023116391675407e-06,
                0.00033535010845536285,
                NaN,
                0.9820137929330515,
                0.00015843629165593985,
                0.0001088968831806108,
                0.43782349911420193,
                0.3208213138121609,
                0.7981867777396212,
                0.2942149721629888
            ],
            [
                0.999512142828569,
                0.9924227592959116,
                0.798186775339273,
                0.999290329710041,
                0.9859363734087295,
                0.9999687980811988,
                0.9986749775271754,
                0.9859363721948539,
                0.9999038975394012,
                0.999195914054316
            ],
            [
                4.222834954607099e-06,
                1.8925152752586028e-05,
                0.9989677691831648,
                8.939697368842181e-06,
                6.144175334367959e-06,
                0.00029595716839058,
                1.4738976699427788e-05,
                0.9046505299595162,
                0.0031726824698900193,
                0.320821300824607
            ],
            [
                0.9740426431789577,
                0.998830489874198,
                0.10669059323555341,
                0.6224593312018546,
                0.025957355172740983,
                0.92414182206801,
                2.561283432005142e-06,
                0.0002959570942934675,
                0.00460957197639675,
                0.46879062662624377
            ],
            [
                0.9740426452040136,
                0.012431650978959215,
                0.8519528000888386,
                0.017986206310263625,
                0.7549149923816048,
                0.9046505408849362,
                0.00033534998963829506,
                0.02931223096334787,
                7.88926352599354e-06,
                0.8807970748488297
            ],
            [
                0.9999785550541518,
                0.9993736658268432,
                0.9999151889789265,
                0.9902915240020388,
                0.9968273172672315,
                0.9997040429729235,
                0.9996200154697935,
                0.9968273174903469,
                0.9999724643122042,
                0.9996200155237962
            ],
            [
                0.9993736659767715,
                0.00010889686971089912,
                0.9940889309658977,
                0.9996200154265803,
                5.4222202621161125e-06,
                0.9999151889890187,
                0.9998415638398986,
                0.9980732656451643,
                0.9999251537460211,
                0.9999546021422099
            ],
            [
                4.539789027568648e-05,
                0.0002034269963280861,
                1.3007134666431358e-05,
                0.00012339463349668496,
                8.939700565996655e-06,
                0.00037998448479335047,
                1.3007134666644292e-05,
                1.0129989770662257e-05,
                0.00043055713220305696,
                0.0015011825717063981
            ],
            [
                0.9998415637278391,
                0.9933071487599494,
                0.9859363734603839,
                0.9975273763793479,
                0.9241418205010699,
                0.8175744761936437,
                0.9964063971876467,
                0.9989677691900073,
                0.8354835391516133,
                0.00012339454497239518
            ],
            [
                0.999891103116832,
                0.9241418236349501,
                0.9997040429026841,
                0.9859363756298636,
                0.9996200155180035,
                0.9796676442828174,
                0.0035936020578602756,
                0.9740426398352606,
                0.8933094039240554,
                0.8354835309589073
            ],
            [
                6.962256248871951e-06,
                0.0005527787271272605,
                3.1201903931474406e-05,
                3.5356242267696286e-05,
                0.9988304896000427,
                0.9796676449877542,
                0.9995694429114481,
                0.9997694932304335,
                0.00026119033767687237,
                0.32082130731838393
            ],
            [
                0.9999785550464814,
                0.9999952149032242,
                0.9995694428592421,
                0.9999945777823233,
                0.9999967112509347,
                1.3007123810638006e-05,
                0.996827317199487,
                0.9999982396561572,
                0.9999938558224686,
                0.00015843617868571992
            ],
            [
                4.222831934248571e-06,
                0.9999339478238761,
                6.144177531599359e-06,
                7.88926540679677e-06,
                9.610240325001802e-05,
                9.610241465487671e-05,
                2.5612816000331606e-06,
                0.999796572929876,
                0.9991959140549239,
                2.902312677104321e-06
            ],
            [
                5.829128633941282e-05,
                8.481105143870621e-05,
                0.0031726829971195614,
                NaN,
                0.0010322308842996267,
                0.0019267350304731075,
                0.001325022604690226,
                0.0004878570550032647,
                0.4378234991142019,
                0.7772998508568416
            ],
            [
                8.481101088878567e-05,
                0.182425528251267,
                1.3007126912826352e-05,
                9.610239194164611e-05,
                1.4738980213985297e-05,
                2.4300246520590875e-05,
                0.9770226274556113,
                0.004609571431562563,
                0.46879062662624377,
                0.9626731123881445
            ],
            [
                0.00026119033909800766,
                5.422218969769604e-06,
                0.9579122687801986,
                7.484620044058188e-05,
                4.785094494628999e-06,
                1.0677028700320085e-06,
                1.8925150492616083e-05,
                5.144221365238367e-05,
                0.00010889689614645761,
                0.9046505383142494
            ],
            [
                NaN,
                0.9994472214610302,
                0.9999852610233009,
                0.9993736658439674,
                0.9999938558246664,
                0.9997694933131654,
                0.9999724643187686,
                0.9999869928684365,
                0.9999724642990853,
                0.9999646437493069
            ],
            [
                0.0006263340888472271,
                0.002800926929402702,
                1.147876538789672e-05,
                1.300712536203966e-05,
                0.00017952798675319138,
                0.3775406687981454,
                0.6791786861878392,
                0.8670357563664174,
                0.8354835350552603,
                0.9998204720346026
            ],
            [
                0.9579122767402743,
                0.9669140253057785,
                1.1478764020560142e-05,
                1.3709575336947905e-06,
                4.785095065045315e-06,
                0.9579122758391337,
                0.0015011824619469687,
                0.4378234991142019,
                0.0017007224736961164,
                1.892514147046736e-05
            ],
            [
                0.9996646497310566,
                0.9980732657159069,
                NaN,
                0.9999251537462176,
                0.9995121428844838,
                0.9669140201811735,
                0.999941708713745,
                0.9999898700126446,
                0.9998204720131736,
                0.9999339478711677
            ],
            [
                0.9991959142440937,
                0.9525741254760638,
                0.9953904274210806,
                0.9980732653823419,
                0.9940889317375301,
                0.9975273771620901,
                0.999891103038858,
                0.9968273172385137,
                0.9933071505245226,
                0.9978172831692633
            ],
            [
                0.9914225163365825,
                0.9995694429643182,
                0.9975273773659591,
                0.985936372065718,
                0.997199073010118,
                0.9986749778687009,
                0.9820137875046581,
                0.9986749773584921,
                0.9959298624067974,
                0.9997965730266685
            ],
            [
                0.01798620624446493,
                0.9968273178887144,
                0.00026119037169292515,
                0.0013250226507507418,
                0.9986749774159522,
                0.9859363746096915,
                0.9995694429651699,
                0.9986749773755916,
                0.004609571179443237,
                0.0008040860502535113
            ],
            [
                0.00048785711755976305,
                2.430024362932722e-05,
                0.00010889696112941016,
                0.00010889693517235078,
                1.1478766755734576e-05,
                0.9241418267688303,
                6.962257079553702e-06,
                0.7981867849406659,
                8.939694172420599e-06,
                8.481101097331865e-05
            ],
            [
                1.7603436330091044e-06,
                0.9991959139563873,
                0.7981867801399694,
                0.9999832985701956,
                0.9997040427970968,
                4.22283294098842e-06,
                1.4738987238035806e-05,
                3.120191132631554e-05,
                0.9999038975736549,
                2.9023112931873767e-06
            ],
            [
                0.9706877698316204,
                0.9995121429405406,
                0.001926734920777149,
                0.7310585727705127,
                0.9740426457220511,
                0.9820137901695059,
                0.9902915227484869,
                0.9525741281688026,
                0.9953904273997146,
                0.9875683495584362
            ],
            [
                0.0008040857950496685,
                0.92414182206801,
                1.0129989769962063e-05,
                0.02931223409022338,
                0.00037998443896014513,
                0.0007096703523728311,
                0.001169510499229778,
                0.2942149783515162,
                0.18242551713899047,
                0.0011695100425764093
            ],
            [
                0.9999785550464791,
                0.9996200154268787,
                0.9995694429643182,
                0.999891103116832,
                0.9999485577740962,
                0.9992903294667016,
                0.9994472213354203,
                0.9999687980774852,
                0.9241418189341296,
                0.998967768813791
            ],
            [
                0.9626731127897337,
                0.00012339456018127515,
                0.9241418152779358,
                0.00026119040288191035,
                0.9706877664927535,
                0.9770226303408661,
                0.867035771827307,
                0.9986749775245566,
                0.0001795280299270608,
                0.004070137393118008
            ],
            [
                0.9996646497311737,
                0.9999485577741026,
                0.00023050663283591364,
                0.9947798736051864,
                0.9997694931751738,
                0.9988304896080661,
                0.00015843615931525527,
                0.9993736658998581,
                1.8925152750176348e-05,
                0.9994472212570831
            ],
            [
                0.9999945777829696,
                0.9999945777803844,
                0.9999832985801537,
                0.9999962733620489,
                0.9999869928668941,
                0.9999898700053997,
                0.9999810748562732,
                0.999933947871261,
                0.9999970976873231,
                0.9999938558275963
            ],
            [
                9.610242629256036e-05,
                1.8925150494750372e-05,
                7.338207180864763e-07,
                7.889260704050487e-06,
                2.9023116389761676e-06,
                1.7603438428460541e-06,
                5.422220262195015e-06,
                7.889265407090955e-06,
                1.8925157264471508e-05,
                5.144220138000259e-05
            ],
            [
                0.9975273772005666,
                0.9999756997679633,
                0.0001795280088351002,
                0.9399133451974033,
                0.9999724643056213,
                0.9914225141348546,
                0.9999485577741123,
                0.9579122704322899,
                0.001700722250545411,
                0.9996200155622117
            ],
            [
                0.9820137903998014,
                0.0001584362734103921,
                0.7772998560157663,
                0.8933094060543488,
                0.9914225162336241,
                0.9947798735012071,
                0.0002611903093833627,
                0.9579122684798184,
                0.9820137912880839,
                0.9770226322225538
            ],
            [
                0.0007096704634131775,
                0.007577242906652923,
                0.0011695101157388485,
                0.7057850278370112,
                0.9770226275810571,
                0.9959298622086002,
                0.939913352771458,
                0.9525741286736911,
                0.9993736658206491,
                0.9324533144915912
            ],
            [
                0.9740426427080144,
                0.9996200154239604,
                0.9149009462917594,
                0.0011695101264820324,
                0.999954602109754,
                0.9525741269907294,
                0.9669140212537652,
                0.9999485577618493,
                0.9241418184118162,
                0.9669140245907174
            ],
            [
                0.9740426428492975,
                0.9999151889587262,
                0.7772998611746911,
                0.999569442913327,
                0.9971990728891594,
                0.9996200154261381,
                0.9968273176869534,
                0.9988304898748779,
                0.9933071503728312,
                0.9996646500118544
            ],
            [
                0.9525741313664297,
                0.00010889692199259365,
                0.9975273772005666,
                0.00010889690924064936,
                0.9991959142491913,
                0.9999599362887198,
                0.8354835432479661,
                0.9991959140671768,
                1.670142383495587e-05,
                0.998674977386683
            ],
            [
                0.99944722139025,
                4.0063682625048554e-05,
                1.8925152750692706e-05,
                0.9924227589142272,
                0.9840936093086694,
                4.222832941034507e-06,
                2.4300252319296727e-05,
                4.006370173469883e-05,
                0.991422514039816,
                4.006368260814213e-05
            ],
            [
                0.14804719051380197,
                6.605217607477225e-05,
                3.7266379512857925e-06,
                3.288748673295719e-06,
                1.0677027427525368e-06,
                9.610241487022105e-05,
                1.2098658277489788e-06,
                1.8925157264471508e-05,
                7.889263525534328e-06,
                1.147876812538911e-05
            ],
            [
                1.7603436330091044e-06,
                6.1441724044534996e-06,
                0.00043055703624546857,
                2.561282210590951e-06,
                4.450849458218309e-07,
                2.902312677060767e-06,
                1.0129994602222992e-05,
                3.2887490652810324e-06,
                1.0129992186387057e-05,
                9.422444815628016e-07
            ],
            [
                0.9978172832103379,
                0.9996646497714592,
                0.4073334000459302,
                0.9975273769834893,
                0.6791787056691698,
                0.9999785550592579,
                3.2887486733420804e-06,
                2.5612819053399912e-06,
                4.2228349547223175e-06,
                4.785094494716039e-06
            ],
            [
                0.8807970842359877,
                1.6701421843356024e-05,
                6.962257909323729e-06,
                0.9324533130837862,
                0.8670357477770336,
                7.889260704732132e-06,
                0.9820137879323496,
                0.8519528000888387,
                0.9465966696352197,
                5.14422381608502e-05
            ],
            [
                0.005220125253460337,
                1.994730434816876e-06,
                0.000552778546655637,
                1.012999339309804e-05,
                2.1444943298320236e-05,
                0.7057850278370112,
                4.222831934202483e-06,
                3.288749457409966e-06,
                1.6701419851270353e-05,
                8.939698434966738e-06
            ],
            [
                0.977022631218987,
                2.753568452349975e-05,
                1.2098658277335738e-06,
                0.9947798739582321,
                1.5534983101301911e-06,
                0.5312093733737563,
                1.3709573702722555e-06,
                0.9953904288504691,
                1.6701421840804172e-05,
                0.6224593382055109
            ],
            [
                0.9924227588336882,
                0.9820137937884345,
                0.9993736659789212,
                0.9968273177112531,
                0.990291522569408,
                0.9859363720915452,
                0.9982992771873282,
                0.999290329714788,
                0.9149009602137116,
                0.9626731095770201
            ],
            [
                0.9999724643089275,
                0.9991959142434857,
                0.9998911030780644,
                0.9998415637270507,
                0.9995121428866693,
                0.9990889489844661,
                0.9999724643187565,
                0.9996200155191421,
                0.9890130577742055,
                0.9998415637077608
            ],
            [
                0.000179528029994973,
                0.5621765008857981,
                5.8291272482788436e-05,
                0.9465966679403515,
                0.9994472213209492,
                0.9933071498248848,
                0.9953904280770184,
                4.222833444506298e-06,
                0.9324533032291501,
                1.0129994601872894e-05
            ],
            [
                0.9924227589562474,
                0.9241418215456966,
                0.996406398031345,
                4.006368739659403e-05,
                0.9859363747775679,
                0.9706877711035696,
                0.9968273177642706,
                0.5926665999540698,
                0.9706877713155612,
                0.34864514210180597
            ],
            [
                0.3486451285660856,
                1.1478772229989872e-05,
                0.998073265548229,
                0.9465966658688456,
                0.00026119040190915446,
                0.5,
                0.001169510535131063,
                5.715007195410849e-07,
                0.0005527786013245117,
                9.610239184236401e-05
            ],
            [
                0.9999646437408728,
                0.817574471748733,
                0.99987660541069,
                0.9999756997650636,
                0.9999599363078321,
                0.9971990723689074,
                0.002800926803891906,
                0.9998911031298519,
                0.9999417087553318,
                0.9995694430155098
            ],
            [
                0.9999724643121942,
                0.9999910603036979,
                3.120191135991401e-05,
                0.999954602142233,
                0.999985261012766,
                0.9999599363030746,
                0.9999832985741806,
                0.9998766053665913,
                0.9975273772063095,
                0.9999646437619484
            ],
            [
                3.726640616748873e-06,
                2.3823685319244518e-07,
                2.5612816000145246e-06,
                1.7603425837606927e-06,
                2.902311293147782e-06,
                1.6701427813417103e-05,
                5.42221961567159e-06,
                1.0677031245905116e-06,
                8.939694171135975e-06,
                2.561283126679493e-06
            ],
            [
                1.3007131564643372e-05,
                5.715004470295662e-07,
                5.715003107738556e-07,
                8.315283250082584e-07,
                4.4508510499849186e-07,
                2.5612822106421996e-06,
                0.9996200155160689,
                0.9995694428610958,
                6.144174601879434e-06,
                3.726638839806038e-06
            ],
            [
                1.1478768121735194e-05,
                9.61023918311773e-05,
                2.4300246519706854e-05,
                0.5621765008857981,
                1.3007125360809367e-05,
                1.6701425825492673e-05,
                1.1478770861650256e-05,
                2.902311639126627e-06,
                1.012999460150437e-05,
                4.5397868612593344e-05
            ],
            [
                0.0004878570578983476,
                0.000626334176071684,
                5.8291251631486394e-05,
                1.3007125362820425e-05,
                0.00048785717529113015,
                0.9241418147556224,
                2.4300246523773334e-05,
                0.00029595723844056906,
                5.82912932832059e-05,
                1.3007130014636887e-05
            ],
            [
                8.481105143068482e-05,
                0.4378234991142019,
                0.9324533126145178,
                4.539789028064095e-05,
                4.222832940646604e-06,
                0.4687906266262437,
                6.144173137014406e-06,
                3.1201915063805214e-05,
                4.006369695353247e-05,
                0.32082130731838393
            ],
            [
                0.5,
                0.9875683483121361,
                0.9399133544545811,
                0.8670357460591569,
                0.985936373124631,
                0.9890130568937684,
                4.5397884871679096e-05,
                0.4378234991142019,
                0.00012339463354695633,
                0.00020342694831072675
            ],
            [
                5.144222589744581e-05,
                3.120191508820951e-05,
                0.9399133468805266,
                5.1442207485876726e-05,
                4.539785238142359e-05,
                0.9914225143882909,
                0.9465966754730989,
                0.985936371859101,
                7.484626291261785e-05,
                2.2603248367173307e-06
            ],
            [
                0.9975273772355978,
                0.9914225146575669,
                0.9975273769421412,
                0.9984988175534089,
                0.9525741295151718,
                0.9982992773215349,
                0.9959298619820892,
                0.9890130553960135,
                0.9998415638024049,
                0.9988304894616051
            ],
            [
                1.3709568799823232e-06,
                1.7603425837702984e-06,
                0.0013250222757966248,
                0.0001795279867166233,
                7.484620046617512e-05,
                1.7603432133032607e-06,
                0.0007096705456408357,
                0.06754669020109234,
                8.939700566143004e-06,
                1.5534981249496567e-06
            ],
            [
                0.9525741285053949,
                0.9820137920776683,
                4.539788484641129e-05,
                0.9579122674284875,
                0.9324533083911024,
                0.9933071487413749,
                0.851952809486198,
                0.8354835432479661,
                0.9859363714846073,
                0.7057850216484838
            ],
            [
                0.9796676445796328,
                0.0008040859479287796,
                0.7310585903489891,
                0.9149009607937928,
                0.9914225132319875,
                0.9940889305554549,
                3.535625913206225e-05,
                0.9902915251391893,
                1.0129992186939844e-05,
                0.5621765008857982
            ],
            [
                0.999664649890969,
                0.9989677691826846,
                0.9796676472880741,
                0.9982992773978291,
                0.9940889324352827,
                0.9994472212638685,
                0.9992903296238091,
                0.998967769167079,
                0.9933071492057364,
                0.9984988175523619
            ],
            [
                0.9953904281496629,
                0.999704042936482,
                0.9990889487668166,
                0.9968273167193841,
                0.9933071483946517,
                0.9669140248290711,
                0.9740426412951848,
                0.9796676443941232,
                0.8933094067644466,
                0.9770226282501018
            ],
            [
                9.422445939002803e-07,
                0.00017952794455622275,
                0.00029595713104494406,
                1.4738985483879434e-05,
                6.14417313680765e-06,
                6.605212888176791e-05,
                0.00023050662887202962,
                0.001032231183087817,
                1.3007125361755747e-05,
                1.6701423833011596e-05
            ],
            [
                2.902313023063532e-06,
                0.5621765008857981,
                0.7549149758396752,
                1.8925150491445666e-05,
                8.939694172542558e-06,
                0.00010889694816355559,
                0.6513548714339144,
                0.9995121429412501,
                0.8670357580842941,
                0.0003799845743814746
            ],
            [
                0.9999785550541467,
                0.9999339478474795,
                0.9998601779594724,
                0.7310585844894971,
                0.9859363701803364,
                0.8175744850834648,
                0.9902915252555905,
                0.9964063981247187,
                0.9971990727005681,
                0.9525741305249489
            ],
            [
                0.00043055708865201203,
                0.00023050663161522516,
                1.1478772229989872e-05,
                0.00020342689987606823,
                0.5926665999540698,
                0.9399133512987252,
                1.7603432133032607e-06,
                0.9999546021259631,
                0.7310585669110203,
                0.8933094159957173
            ],
            [
                0.9953904279146365,
                0.9964063975603079,
                0.9996646497309396,
                0.999985261014518,
                0.9998415637268017,
                0.9890130599601176,
                0.9999687980960844,
                0.9999869928715357,
                0.9740426415777508,
                0.9999038976080912
            ],
            [
                0.7057850340255386,
                0.7772998508568416,
                0.9796676481043166,
                2.4300237830711845e-05,
                0.9399133502467732,
                1.7603436329714805e-06,
                0.9399133555065331,
                0.9924227597091112,
                0.7549149978955811,
                0.002182716844428204
            ],
            [
                0.880797071719777,
                0.7981867705385762,
                0.5621765008857981,
                0.946596671330088,
                6.962255419728997e-06,
                0.0008040858289552505,
                0.9875683519824322,
                0.16451645880021026,
                0.9626731089077047,
                0.00037998457334232304
            ],
            [
                0.7772998663336158,
                0.00026119027778400745,
                0.9964063971009425,
                0.2689414213699951,
                2.1444948408275583e-05,
                3.535626757125808e-05,
                0.0006263340999597825,
                1.3007131565376817e-05,
                1.4738976698757546e-05,
                1.892514597563747e-05
            ],
            [
                0.00015843619695430857,
                0.9859363740931488,
                0.9914225127884738,
                0.9991959140523986,
                6.605214464272057e-05,
                0.9859363727501373,
                0.9859363735378652,
                0.8519528038477825,
                0.0017007226911149008,
                0.9890130586850022
            ]
        ]
    },
    {
        "q_id": "10538_mmlu_computer science",
        "cot_ids": [
            2,
            4,
            6,
            7,
            10,
            11,
            13,
            15,
            16,
            18,
            19,
            20,
            21,
            23,
            25,
            27,
            28,
            29,
            30,
            31,
            33,
            35,
            36,
            39,
            40,
            43,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            58,
            59,
            60,
            63,
            67,
            69,
            72,
            73,
            74,
            75,
            76,
            78,
            79,
            80,
            82,
            83,
            84,
            86,
            88,
            89,
            91,
            95,
            97,
            98,
            101,
            104,
            105,
            106,
            107,
            108,
            109,
            114,
            115,
            117,
            119,
            121,
            122,
            123,
            124,
            125,
            127,
            9,
            17
        ],
        "rewards": [
            [
                NaN,
                6.14417753110761e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9770226297136368,
                NaN,
                NaN,
                0.994779874233898,
                NaN,
                NaN,
                NaN,
                2.7535684417518326e-05,
                NaN
            ],
            [
                NaN,
                0.00020342704250455392,
                NaN,
                0.00010889688152006984,
                0.7310585727705127,
                NaN,
                0.00010889692145386834,
                0.9525741234565096,
                0.0017007227349939678,
                0.9046505408849362
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                6.144175327343767e-06,
                3.7266379422497987e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                4.539786314550164e-05,
                NaN,
                NaN,
                NaN,
                0.9933071505400012,
                0.00015843621595594825,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                6.605212028645897e-05
            ],
            [
                0.9986749776350093,
                NaN,
                0.9971990731044137,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999724643056319,
                NaN,
                NaN
            ],
            [
                0.9999977396751634,
                0.999997438717179,
                NaN,
                0.9999646437410425,
                0.9999756997534849,
                NaN,
                NaN,
                NaN,
                0.9999485577741227,
                NaN
            ],
            [
                NaN,
                0.0006263340627600484,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.9975273766831414,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9995694429156191,
                0.9999646437324686,
                0.9984988178310357,
                0.984093610649877,
                0.999820472056439,
                0.9995121429470971,
                0.9997040427972863,
                0.9149009520925732,
                0.9947798732763218,
                0.9999646437535178
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                8.93969629861996e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00020342696552996836,
                0.001032231261356172,
                NaN,
                NaN,
                NaN,
                9.610245855716294e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.147877222485351e-05,
                8.481107042531632e-05
            ],
            [
                NaN,
                0.9996646499752961,
                0.9975273763379997,
                0.00023050672962579935,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999151889587349,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                7.88926446135094e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.4738985480608657e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                5.422218967333467e-06,
                NaN,
                NaN,
                2.9023116378886404e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                3.7266388395111645e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9999724642957807,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9982992772480078,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.0003353500561399432,
                NaN,
                5.829127835275829e-05,
                4.0063696893922756e-05,
                0.8354835411997897,
                NaN,
                0.9940889310917668,
                0.7310585903489891
            ],
            [
                NaN,
                NaN,
                NaN,
                0.0,
                NaN,
                1.8925152635647695e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9989677688823358,
                0.9978172840440004,
                0.9999970976883612,
                0.9992903297110316,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.0007096702390621608,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.34864514886966624,
                NaN,
                NaN,
                0.9947798733948098,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.2098659707535528e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00010889692178502596,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9997040427642718,
                NaN,
                NaN,
                NaN
            ],
            [
                0.7981867729389246,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9998415637295887
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00020342696834755493,
                1.0129994601688632e-05,
                NaN,
                5.42221767672807e-06,
                0.04742587300927061,
                4.5397890176101586e-05,
                0.00012339457465583602
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0,
                1.3007128457485415e-05,
                4.785094492522632e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9998911031168874,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.9991959142482559,
                NaN,
                NaN,
                4.7850944856987e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.24508500761839525,
                2.144494328404357e-05,
                1.0129995797989117e-05
            ],
            [
                NaN,
                6.605214450431904e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                5.829125813336315e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.002800926496292933
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.3007125249917218e-05,
                NaN,
                3.7266388382164344e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                5.829125782631474e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                6.144176798590883e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                1.473897842693432e-05,
                NaN,
                9.610243558522904e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.00017952796378842704,
                NaN,
                2.1444948371764756e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00012339460347748901,
                NaN,
                NaN,
                4.006369209745375e-05,
                NaN,
                4.5397852355660356e-05,
                NaN
            ],
            [
                0.9953904286218526,
                0.9971990733560856,
                NaN,
                NaN,
                0.9999485577865778,
                NaN,
                NaN,
                NaN,
                0.9995694428164175,
                NaN
            ],
            [
                0.999820471970005,
                0.9991959138806725,
                0.9990889489166493,
                NaN,
                0.0010322310620839914,
                0.9995121428882587,
                0.9971990734796454,
                NaN,
                3.7266383942867467e-06,
                0.999290329547856
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0019267346570591359
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9399133531922388
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                3.5356259025178387e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.3709578593435407e-06,
                3.726639283129085e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.4738987221038477e-05,
                0.00015843619739920928,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                6.144176797864436e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.6701429783995243e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0
            ],
            [
                0.9984988180559639,
                0.9890130574604865,
                0.999704042797002,
                0.9997040428327288,
                0.9990889488181031,
                0.9046505286741726,
                0.9999832985742085,
                0.9149009491921664,
                0.9999938558268758,
                0.9997965730297228
            ],
            [
                NaN,
                NaN,
                6.144176791572277e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.670142979323052e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                9.610240336258435e-05,
                NaN,
                NaN,
                NaN,
                7.338207179039409e-07,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ]
        ]
    },
    {
        "q_id": "10650_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999962733616049,
                0.9999991684720715,
                0.9999962733620488,
                0.9999987901343165,
                0.9999977396765106,
                0.9999989322973846,
                0.9999982396569966,
                0.9999990577549568,
                0.9999989322971299,
                0.9999986290427932
            ],
            [
                0.9999991684717742,
                0.9999991684721706,
                0.9999984465016899,
                0.9999945777810308,
                0.9999962733589393,
                0.9999982396559474,
                0.9999989322972572,
                0.9999987901343166,
                0.9999962733602719,
                0.9999982396574163
            ],
            [
                0.9999952149032243,
                0.9999945777810304,
                0.9999984465024306,
                0.9999977396762411,
                0.9999977396765105,
                0.9999987901346049,
                0.9999989322967481,
                0.9999990577551814,
                0.9999982396572065,
                0.9999994284993486
            ],
            [
                0.999998790134028,
                0.9999991684718733,
                0.9999982396572065,
                0.9999832985841333,
                0.9999921107392965,
                0.9999957771655488,
                0.999993855826864,
                0.9999962733598274,
                0.9999945777797379,
                0.999994577780385
            ],
            [
                0.9999945777803846,
                0.9999986290427932,
                0.9999962733607165,
                0.9999984465018752,
                0.9999987901343165,
                0.999999266178757,
                0.9999993524049703,
                0.9999992661791944,
                0.9999984465018751,
                0.9999967112497586
            ],
            [
                0.9999991684719725,
                0.9999991684715759,
                0.9999977396757022,
                0.9999982396572065,
                0.999998446502801,
                0.9999996072137529,
                0.9999986290421395,
                0.9999980052695652,
                0.9999938558224688,
                0.9999984465020603
            ],
            [
                0.9999982396574163,
                0.999998790134028,
                0.9999980052693275,
                0.9999974387184002,
                0.999998446502801,
                0.9999980052707541,
                0.9999980052705164,
                0.9999785550464791,
                0.9999989322966208,
                0.9999970976890529
            ],
            [
                0.999999653367379,
                0.9999997300422225,
                0.9999994284995529,
                0.9999995549150011,
                0.9999989322975118,
                0.9999980052698031,
                0.9999984465026158,
                0.9999998362622943,
                0.9999996940976636,
                0.9999996072137061
            ],
            [
                0.9999980052693275,
                0.999998239656367,
                0.9999993524054335,
                0.9999997300421903,
                0.9999982396567867,
                0.9999992661791944,
                0.9999992661791071,
                0.9999990577556308,
                0.9999952149032237,
                0.9999986290423029
            ],
            [
                0.999999352405279,
                0.999997438717484,
                0.9999957771675624,
                0.9999994956527721,
                0.9999987901343165,
                0.9999970976869771,
                0.9999957771665557,
                0.9999992661791945,
                0.9999992661789321,
                0.9999987901347491
            ],
            [
                0.9999980052702787,
                0.9999986290424664,
                0.999999266179107,
                0.9999967112497586,
                0.9999984465026158,
                0.9999982396572065,
                0.9999987901344607,
                0.9999989322966208,
                0.9999984465020603,
                0.9999982396567867
            ],
            [
                0.9999991684718732,
                0.999995777166556,
                0.99999862904312,
                0.9999974387180947,
                0.9999984465020603,
                0.9999957771660523,
                0.9999962733598275,
                0.999997438717484,
                0.999999266179107,
                0.9999994956525317
            ],
            [
                0.9999993524050474,
                0.9999982396561571,
                0.9999986290429567,
                0.9999990577556308,
                0.9999994956526519,
                0.9999952149060762,
                0.9999996072137529,
                0.9999984465024306,
                0.9999970976869769,
                0.9999938558268633
            ],
            [
                0.9999990577555185,
                0.9999992661791944,
                0.9999995549150011,
                0.9999996940977366,
                0.9999993524052019,
                0.9999982396559474,
                0.9999986290431201,
                0.99999893229713,
                0.9999994956527121,
                0.9999977396751633
            ],
            [
                0.999998790134028,
                0.9999980052707541,
                0.9999967112517189,
                0.9999989322975118,
                0.9999989322968754,
                0.9999984465016899,
                0.999997438716568,
                0.9999980052695652,
                0.9999982396559474,
                0.9999991684721706
            ],
            [
                0.999997438717484,
                0.9999989322975118,
                0.9999982396572065,
                0.9999977396746244,
                0.9999832985841309,
                0.9999967112521109,
                0.9999986290426298,
                0.9999984465026158,
                0.9999970976890528,
                0.9999952149072167
            ],
            [
                0.9999996940978825,
                0.9999967112521108,
                0.9999986290426298,
                0.9999974387168733,
                0.9999993524054334,
                0.999999057755743,
                0.999998239656367,
                0.9999989322970027,
                0.9999989322967482,
                0.9999987901343165
            ],
            [
                0.9999989322967482,
                0.9999989322967481,
                0.9999990577555185,
                0.99999862904312,
                0.9999986290431201,
                0.9999984465015047,
                0.999999554914895,
                0.999998629042303,
                0.9999990577549568,
                0.9999991684717742
            ],
            [
                0.9999996940978825,
                0.9999986290421394,
                0.9999989322970027,
                0.9999984465015048,
                0.9999987901343165,
                0.9999992661788446,
                0.9999994956526519,
                0.9999986290421395,
                0.999998005269803,
                0.9999967112497586
            ],
            [
                0.9999982396574163,
                0.9999962733616046,
                0.9999945777803844,
                0.9999945777784452,
                0.999999554914895,
                0.9999938558253988,
                0.999999057755743,
                0.9999991684719723,
                0.9999989322975118,
                0.9999986290424663
            ],
            [
                0.999993855823201,
                0.9999970976873229,
                0.9999952149032243,
                0.9999974387171787,
                0.9999957771660523,
                0.9999945777790916,
                0.9999991684715759,
                0.9999993524052019,
                0.9999980052707541,
                0.9999977396751633
            ],
            [
                0.9999991684717742,
                0.9999994284994849,
                0.9999952149060767,
                0.9999970976866313,
                0.9999974387171787,
                0.9999967112513268,
                0.9999952149055054,
                0.9999987901343165,
                0.9999992661791944,
                0.9999987901337396
            ],
            [
                0.9999990577550691,
                0.9999986290424663,
                0.999998239656577,
                0.9999989322972572,
                0.9999995549151073,
                0.9999980052702787,
                0.9999974387171788,
                0.999998932296621,
                0.9999993524053562,
                0.9999987901346049
            ],
            [
                0.9999980052693274,
                0.9999989322975118,
                0.9999984465018751,
                0.9999987901344608,
                0.9999962733616047,
                0.999999352404893,
                0.9999945777823233,
                0.9999993524052019,
                0.999993855823934,
                0.9999962733607161
            ],
            [
                0.9999982396567867,
                0.999998239656367,
                0.9999990577550691,
                0.9999990577556308,
                0.9999987901338838,
                0.9999992661791944,
                0.9999992661792819,
                0.9999977396759716,
                0.9999992661788446,
                0.9999984465016899
            ],
            [
                0.9999982396567867,
                0.9999974387168734,
                0.9999952149032236,
                0.9999994284994849,
                0.9999991684717741,
                0.9999990577552939,
                0.9999989322972572,
                0.9999977396757022,
                0.9999993524049702,
                0.9999986290432834
            ],
            [
                0.9999994956524114,
                0.9999991684718733,
                0.999999730042126,
                0.9999997300422225,
                0.9999984465022455,
                0.9999987901340281,
                0.9999994956524114,
                0.9999996072138465,
                0.999999057755743,
                0.9999996533674202
            ],
            [
                0.9999987901338838,
                0.9999993524052018,
                0.9999993524049703,
                0.9999977396748938,
                0.9999990577549568,
                0.9999989322968754,
                0.9999994284996891,
                0.999999057755743,
                0.999998790134605,
                0.9999994284992805
            ],
            [
                0.999997438717484,
                0.9999986290429566,
                0.9999977396759717,
                0.9999945777810304,
                0.9999982396561572,
                0.9999970976873229,
                0.9999991684717741,
                0.999998239656367,
                0.9999930377462405,
                0.9999952149066462
            ],
            [
                0.9999974387180947,
                0.9999980052695652,
                0.9999982396574163,
                0.9999930377454107,
                0.9999991684717742,
                0.9999987901337396,
                0.9999986290429566,
                0.9999967112501507,
                0.9999957771650456,
                0.9999980052705164
            ],
            [
                0.9999962733598274,
                0.999991060304763,
                0.9999997300421581,
                0.9999990577549568,
                0.9999987901337396,
                0.9999991684717742,
                0.9999993524049703,
                0.9999977396757022,
                0.9999987901343165,
                0.9999977396748938
            ],
            [
                0.9999984465022455,
                0.9999967112517191,
                0.9999967112501509,
                0.9999977396751635,
                0.9999952149032239,
                0.9999974387165681,
                0.9999977396757023,
                0.9999984465015047,
                0.9999962733616046,
                0.9999992661790196
            ],
            [
                0.9999038975851613,
                0.9999646437324344,
                0.9999869928746379,
                0.9999921107355338,
                0.9999977396746244,
                0.9999930377437506,
                0.999994577780384,
                0.9999945777810304,
                0.9999962733620487,
                0.9999852610197867
            ],
            [
                0.9999991684715758,
                0.9999996072139402,
                0.9999996072138934,
                0.9999980052702785,
                0.9999987901344607,
                0.9999993524052019,
                0.999999057755743,
                0.999999554914789,
                0.9999990577550691,
                0.9999991684718733
            ],
            [
                0.9999994956524716,
                0.9999980052702785,
                0.9999986290432835,
                0.9999996940977366,
                0.9999996072137529,
                0.9999967112509349,
                0.999996711250543,
                0.9999984465024306,
                0.9999995549147359,
                0.9999986290421395
            ],
            [
                0.9999993524053562,
                0.9999991684722698,
                0.999998790134605,
                0.999998790134028,
                0.9999992661790195,
                0.9999984465024306,
                0.999998005270992,
                0.9999967112497586,
                0.99999893229713,
                0.9999994284994849
            ],
            [
                0.9999994284994167,
                0.9999962733598275,
                0.9999990577555185,
                0.9999898700102287,
                0.9999945777816776,
                0.9999977396746245,
                0.999997097688707,
                0.9999974387187053,
                0.9999987901347492,
                0.9999982396561572
            ],
            [
                0.9999996940978825,
                0.9999986290423029,
                0.9999977396757023,
                0.9999994284996211,
                0.999998790134028,
                0.9999967112501509,
                0.9999984465020603,
                0.9999993524050474,
                0.9999989322975118,
                0.999998446502801
            ],
            [
                0.9999994284996211,
                0.9999994956525317,
                0.999998446502801,
                0.9999987901341723,
                0.9999994284996891,
                0.9999986290421395,
                0.9999982396565769,
                0.9999982396572065,
                0.9999977396765105,
                0.9999994284994848
            ],
            [
                0.9999852610197874,
                0.9999952149032236,
                0.9999852610180298,
                0.9999339478632352,
                0.999972464302351,
                0.9999984465024306,
                0.9999910603015651,
                0.9999687980886387,
                0.9999910602994345,
                0.9999930377454107
            ],
            [
                0.9999990577550691,
                0.9999962733611605,
                0.9999974387180947,
                0.9999970976880149,
                0.9999987901344607,
                0.999998005269803,
                0.99999893229713,
                0.9999984465022455,
                0.999993037745411,
                0.9999980052700408
            ],
            [
                0.9999996533675028,
                0.9999967112517189,
                0.9999989322970027,
                0.9999994956525317,
                0.999999266178932,
                0.9999980052698031,
                0.9999986290421394,
                0.9999980052695652,
                0.9999987901341723,
                0.9999984465026158
            ],
            [
                0.9999832985821409,
                0.9999994284994848,
                0.9999957771680659,
                0.9999869928746389,
                0.9999990577551815,
                0.9999991684722698,
                0.9999977396754327,
                0.9999945777810304,
                0.9999987901347492,
                0.9999980052707541
            ],
            [
                0.9999885212346149,
                0.9999974387177893,
                0.9999977396765105,
                0.9999967112517187,
                0.9999952149032237,
                0.9999957771655489,
                0.9999832985781566,
                0.9999910603036964,
                0.9999921107345934,
                0.9999930377445806
            ],
            [
                0.9999986290426298,
                0.9999987901338838,
                0.9999974387168734,
                0.9999974387177893,
                0.9999970976866309,
                0.9999991684718732,
                0.9999785550567057,
                0.9999987901346049,
                0.99999862904312,
                0.9999986290431201
            ],
            [
                0.999995777164542,
                0.9999982396572065,
                0.9999977396751633,
                0.9999957771680658,
                0.9999986290426297,
                0.9999984465018751,
                0.9999980052709919,
                0.9999982396561572,
                0.9999987901347492,
                0.9999970976880149
            ],
            [
                0.999997097686977,
                0.9999984465026158,
                0.9999977396754328,
                0.9999967112521108,
                0.999995777168066,
                0.9999977396762411,
                0.9999980052695652,
                0.9999957771680659,
                0.9999967112501507,
                0.9999982396567867
            ],
            [
                0.9999986290426297,
                0.999997438716568,
                0.9999957771650453,
                0.9999885212318754,
                0.9999984465020603,
                0.9999984465020603,
                0.9999982396561571,
                0.9999957771645421,
                0.9999945777829695,
                0.9999974387171787
            ],
            [
                0.9999970976866309,
                0.9999977396757022,
                0.9999977396751633,
                0.9999984465020603,
                0.9999987901346049,
                0.9999952149072169,
                0.9999832985761674,
                0.9999930377437506,
                0.9999970976883609,
                0.9999938558224688
            ],
            [
                0.9999970976887069,
                0.9999991684717742,
                0.9999962733620488,
                0.9999984465024307,
                0.9999977396754327,
                0.9999984465026158,
                0.9999987901337396,
                0.9999991684721706,
                0.9999945777823231,
                0.9999982396567868
            ],
            [
                0.9999974387187053,
                0.9999957771660521,
                0.9999990577556307,
                0.9999970976873229,
                0.9999974387177893,
                0.99999893229713,
                0.9999980052693274,
                0.999998005270992,
                0.9999852610127589,
                0.9999967112509347
            ],
            [
                0.9999996072137061,
                0.9999980052705164,
                0.9999989322971299,
                0.9999984465015047,
                0.999995777168066,
                0.9999967112505427,
                0.9999984465022455,
                0.9999993524052019,
                0.9999995549150011,
                0.9999992661791944
            ],
            [
                0.9999885212346137,
                0.9999967112513267,
                0.9999989322968754,
                0.9999990577556308,
                0.9999990577552937,
                0.999996711250935,
                0.9999977396746245,
                0.9999962733598275,
                0.9999967112501507,
                0.999997097687669
            ],
            [
                0.9999984465026159,
                0.9999984465015047,
                0.9999962733589393,
                0.9999945777803846,
                0.9999970976890531,
                0.9999980052693274,
                0.9999977396762411,
                0.9999970976883611,
                0.999996273358939,
                0.9999994956526519
            ],
            [
                0.9999885212359801,
                0.9999930377429208,
                0.9999852610215451,
                0.9999957771680661,
                0.9999970976883609,
                0.9999898700126436,
                0.9999885212305076,
                0.9999910603036967,
                0.9999898700066062,
                0.9999952149032241
            ],
            [
                0.9999974387180947,
                0.9999984465026158,
                0.9999885212346126,
                0.9999921107345938,
                0.9999970976869771,
                0.9999989322970027,
                0.9999898700066069,
                0.9999957771680661,
                0.999993855827596,
                0.9999885212359819
            ],
            [
                0.9999990577554061,
                0.999997438717484,
                0.9999980052707541,
                0.9999980052700408,
                0.9999962733598279,
                0.99999862904312,
                0.9999991684715759,
                0.9999993524053563,
                0.9999977396762411,
                0.9999977396759716
            ],
            [
                0.9999945777790913,
                0.9999984465022455,
                0.9999994284997573,
                0.9999996940977731,
                0.9999984465016899,
                0.9999962733616049,
                0.999998629042303,
                0.9999980052695652,
                0.9999970976887068,
                0.9999990577554061
            ],
            [
                0.9999967112521109,
                0.9999989322972572,
                0.9999952149066466,
                0.9999967112493667,
                0.9999952149055061,
                0.9999962733620492,
                0.9999987901338838,
                0.9999945777810311,
                0.9999952149049353,
                0.9999957771650453
            ],
            [
                0.9999970976883611,
                0.9999989322972572,
                0.9999970976890528,
                0.999997097686977,
                0.9999980052705163,
                0.9999993524050473,
                0.999997097687669,
                0.999996711251719,
                0.9999974387184,
                0.9999974387171787
            ],
            [
                0.9999938558253983,
                0.9999945777810304,
                0.999997097686977,
                0.9999967112517189,
                0.9999977396748938,
                0.9999832985781578,
                0.9999980052693274,
                0.9999962733598275,
                0.9999984465015047,
                0.9999982396572065
            ],
            [
                0.9999921107402365,
                0.999998005269803,
                0.9999984465018751,
                0.9999982396574163,
                0.9999986290424663,
                0.9999952149066462,
                0.999996711251719,
                0.9999990577556308,
                0.9999945777823233,
                0.999994577780384
            ],
            [
                0.9999967112497589,
                0.999993037740431,
                0.9999984465024306,
                0.9999990577552937,
                0.9999990577554061,
                0.9999945777810305,
                0.9999957771655489,
                0.9999993524051246,
                0.99999893229713,
                0.9999974387180947
            ],
            [
                0.9999987901343165,
                0.9999992661788445,
                0.9999986290426298,
                0.9999977396757022,
                0.9999989322966208,
                0.999999266179107,
                0.999998629042303,
                0.9999986290429566,
                0.9999990577554061,
                0.9999980052702786
            ],
            [
                0.9999987901346049,
                0.9999991684717742,
                0.9999989322966208,
                0.9999986290429567,
                0.9999996940978825,
                0.9999977396754328,
                0.9999898700126444,
                0.9999996940976636,
                0.9999984465015047,
                0.9999990577554061
            ],
            [
                0.9999986290424663,
                0.9999970976880149,
                0.9999852610215443,
                0.9999984465022455,
                0.9999995549150011,
                0.9999980052700407,
                0.9999977396754328,
                0.9999982396561571,
                0.9999977396757022,
                0.9999989322972572
            ],
            [
                0.9999982396559474,
                0.9999982396572065,
                0.999997438716568,
                0.9999989322975118,
                0.9999974387187054,
                0.9999991684719723,
                0.9999967112497586,
                0.9999994284997573,
                0.9999982396574163,
                0.9999982396572065
            ],
            [
                0.9999962733602719,
                0.999998239656367,
                0.9999980052705164,
                0.99999862904312,
                0.9999938558246659,
                0.9999974387187054,
                0.9999982396572064,
                0.9999986290432834,
                0.9999974387177893,
                0.9999987901341723
            ],
            [
                0.9999945777829696,
                0.9999986290423029,
                0.999999057755743,
                0.9999989322967482,
                0.9999970976873229,
                0.9999986290421395,
                0.9999993524050474,
                0.9999957771675625,
                0.9999980052705164,
                0.9999980052705163
            ],
            [
                0.999996711251327,
                0.9999992661792819,
                0.9999986290424663,
                0.9999986290426297,
                0.9999986290432835,
                0.9999987901346049,
                0.9999977396746245,
                0.9999930377445807,
                0.9999982396559474,
                0.9999987901340281
            ],
            [
                0.9999993524052019,
                0.9999991684716749,
                0.9999970976880149,
                0.9999989322970027,
                0.999998446502801,
                0.999997438717484,
                0.999998790134028,
                0.9999986290423029,
                0.9999986290427932,
                0.9999990577551814
            ],
            [
                0.9999938558275967,
                0.9999984465016899,
                0.9999980052693275,
                0.9999984465015047,
                0.9999938558261313,
                0.9999996533674201,
                0.9999967112497585,
                0.9999930377420908,
                0.9999974387165681,
                0.9999945777790916
            ],
            [
                0.9999967112505427,
                0.9999957771645422,
                0.9999992661788445,
                0.9999970976866313,
                0.9999945777784449,
                0.9999952149037944,
                0.9999996072138465,
                0.9999989322972572,
                0.9999980052707541,
                0.9999993524050474
            ],
            [
                0.9999986290432835,
                0.9999982396569966,
                0.9999995549151073,
                0.9999977396765105,
                0.9999977396759717,
                0.9999986290432835,
                0.9999990577556307,
                0.9999994956523514,
                0.9999982396572065,
                0.9999989322975118
            ],
            [
                0.9999970976873229,
                0.9999980052707541,
                0.9999967112521108,
                0.9999990577555185,
                0.9999984465015047,
                0.9999977396748938,
                0.9999980052709919,
                0.999999554914895,
                0.9999974387171787,
                0.999997097688015
            ],
            [
                0.9999984465020603,
                0.9999957771650454,
                0.9999982396567867,
                0.9999984465024306,
                0.9999989322972572,
                0.9999987901337396,
                0.9999986290431201,
                0.9999989322972572,
                0.9999989322971299,
                0.9999980052705163
            ],
            [
                1.012999460150437e-05,
                3.535623805498234e-05,
                4.785096205882502e-06,
                2.9023109471452223e-06,
                7.889263525261671e-06,
                3.726640172537657e-06,
                4.785096776251149e-06,
                4.785096776251149e-06,
                1.3007130012341915e-05,
                2.902311293034278e-06
            ],
            [
                0.9999982396574163,
                0.9999982396559474,
                0.9999982396574163,
                0.9999989322968754,
                0.9999984465026159,
                0.9999977396754327,
                0.9999992661792819,
                0.9999994284992805,
                0.9999974387165681,
                0.9999993524051246
            ],
            [
                0.9999977396757023,
                0.9999970976883609,
                0.999997097688015,
                0.9999930377454106,
                0.999998239656367,
                0.9999993524051246,
                0.999995777167059,
                0.999997097687323,
                0.9999885212305079,
                0.9999885212264026
            ],
            [
                0.9999989322971299,
                0.9999987901337396,
                0.9999989322968754,
                0.9999994284997573,
                0.999998446502801,
                0.9999982396569966,
                0.9999989322975119,
                0.99999893229713,
                0.999997438716568,
                0.9999986290432835
            ],
            [
                0.9999986290431201,
                0.9999977396746244,
                0.999998629042303,
                0.9999993524051246,
                0.9999987901341723,
                0.999997438716568,
                0.9999977396746245,
                0.9999989322970028,
                0.9999992661788446,
                0.9999990577555185
            ],
            [
                0.9999977396765106,
                0.9999980052707541,
                0.9999952149072168,
                0.999999168471675,
                0.9999930377420919,
                0.9999996072137061,
                0.9999970976876691,
                0.9999986290427931,
                0.9999987901338838,
                0.999998790134605
            ],
            [
                0.9999832985721857,
                0.9999977396759717,
                0.99999862904312,
                0.9999977396762411,
                0.9999957771670593,
                0.9999977396757023,
                0.9999982396572065,
                0.9999986290426298,
                0.9999957771680656,
                0.9999995549150011
            ],
            [
                0.9999952149043648,
                0.9999986290424663,
                0.9999984465016899,
                0.999999266178757,
                0.9999982396567867,
                0.9999957771650455,
                0.9999990577552939,
                0.9999992661790196,
                0.9999974387184,
                0.9999987901344607
            ],
            [
                0.9999984465020603,
                0.9999982396559474,
                0.9999987901346049,
                0.9999986290424663,
                0.9999990577550691,
                0.9999938558253991,
                0.9999977396757022,
                0.9999984465016899,
                0.9999992661791944,
                0.9999993524052018
            ],
            [
                0.999997097689053,
                0.999992110734595,
                0.9999993524051246,
                0.9999962733593833,
                0.9999980052700407,
                0.9999995549147889,
                0.9999993524049703,
                0.9999991684719723,
                0.999999352405279,
                0.9999994956524114
            ],
            [
                0.9999987901340281,
                0.9999885212305076,
                0.9999993524050474,
                0.999999554914895,
                0.9999980052709919,
                0.9999984465022455,
                0.9999977396757023,
                0.9999992661792819,
                0.9999980052705164,
                0.9999974387174843
            ],
            [
                0.9999910603036969,
                0.9999910603068934,
                0.9999930377429206,
                0.9998911031168464,
                0.999997097688361,
                0.999997097687323,
                0.9999921107355338,
                0.999997438716568,
                0.9999980052707541,
                0.9999952149037942
            ],
            [
                0.9999687980960721,
                0.9999921107383553,
                0.9999970976873229,
                0.9999930377437508,
                0.9999967112521109,
                0.9999869928684358,
                0.9999986290421395,
                0.9999952149055052,
                0.9999982396565769,
                0.9999957771645421
            ],
            [
                0.9999986290429567,
                0.99999893229713,
                0.999998005269803,
                0.9999980052700408,
                0.9999974387177893,
                0.9999984465026158,
                0.9999991684721706,
                0.9999994956527121,
                0.9999991684717741,
                0.9999980052707541
            ],
            [
                0.9999994956524716,
                0.9999962733611603,
                0.9999945777784449,
                0.9999993524049702,
                0.9999962733611604,
                0.9999970976866309,
                0.9999984465015047,
                0.9999852610127591,
                0.9999962733598274,
                0.9999952149037942
            ],
            [
                0.9999977396757022,
                0.999998790134028,
                0.9999987901341723,
                0.9999993524050474,
                0.9999995549147889,
                0.9999977396762412,
                0.9999984465022456,
                0.9999996072136592,
                0.9999980052707541,
                0.9999989322973846
            ],
            [
                0.9999982396559474,
                0.9999938558268634,
                0.9999991684719725,
                0.9999986290421394,
                0.9999994284997573,
                0.9999974387180947,
                0.999999352404893,
                0.9999982396565769,
                0.9999982396559473,
                0.9999986290429567
            ],
            [
                0.9999986290432835,
                0.999997097686631,
                0.9999986290427932,
                0.9999995549149481,
                0.9999974387184,
                0.9999987901344607,
                0.9999986290432835,
                0.9999984465026158,
                0.9999990577552937,
                0.999998239656367
            ],
            [
                0.9999930377437505,
                0.9999967112517189,
                0.999995777166052,
                0.9999921107402364,
                0.9999852610197864,
                0.9999974387171787,
                0.999997438717484,
                0.9999957771660521,
                0.9999938558253983,
                0.9999898700114366
            ],
            [
                0.9999987901347491,
                0.9999986290426297,
                0.9999945777797385,
                0.9999885212332462,
                0.9999952149060758,
                0.9999952149072167,
                0.9999987901347492,
                0.9999952149072167,
                0.9999151889789598,
                0.9999869928684365
            ],
            [
                0.9999967112493665,
                0.9999967112501505,
                0.9999987901337396,
                0.9999991684715759,
                0.9999994284995529,
                0.9999952149072169,
                0.9999987901344607,
                0.9999957771650453,
                0.9999970976880151,
                0.9999989322972572
            ],
            [
                0.9999987901347492,
                0.999991060304763,
                0.9999987901337396,
                0.9999974387171787,
                0.9999982396567868,
                0.9999930377429208,
                0.9999910603005,
                0.9999952149049351,
                0.999998446502801,
                0.9999945777810307
            ],
            [
                0.9999994284995529,
                0.9999970976890529,
                0.9999962733593832,
                0.9999977396746244,
                0.9999977396746244,
                0.9999980052695652,
                0.9999989322970028,
                0.9999994284992805,
                0.9999992661786696,
                0.9999980052693274
            ],
            [
                0.9999989322972573,
                0.9999980052707541,
                0.9999996533673375,
                0.9999994284996891,
                0.9999986290427932,
                0.9999974387187053,
                0.9999974387184,
                0.9999646437408835,
                0.9999989322971299,
                0.9999984465016899
            ],
            [
                0.9999974387187053,
                0.9999980052709919,
                0.9999967112521109,
                0.9999992661791944,
                0.9999991684720715,
                0.9999986290421395,
                0.9999986290429567,
                0.9999993524052019,
                0.9999974387184,
                0.9999957771670591
            ],
            [
                0.999998005269803,
                0.9999992661791944,
                0.9999994956524716,
                0.9999962733589389,
                0.9999996072138934,
                0.9999984465018751,
                0.9999989322968754,
                0.9999994284992805,
                0.9999980052695652,
                0.999993037740431
            ],
            [
                0.9999986290431201,
                0.9999980052705163,
                0.9999980052693274,
                0.9999980052709919,
                0.9999974387168733,
                0.999997097686631,
                0.999998446502801,
                0.9999957771655488,
                0.999997097686631,
                0.9999974387177893
            ],
            [
                0.9999974387180948,
                0.9999997897567091,
                0.9999996533672136,
                0.9999995549151073,
                0.9999957771675625,
                0.9999990577550691,
                0.9999987901341723,
                0.9999991684720715,
                0.9999994956527721,
                0.9999984465020603
            ],
            [
                0.9999974387171787,
                0.9999990577552937,
                0.9999991684721706,
                0.9999970976890529,
                0.9999989322972572,
                0.9999982396559474,
                0.9999962733620488,
                0.9999987901343165,
                0.9999982396561572,
                0.9999977396757022
            ],
            [
                0.999999352405279,
                0.9999993524049703,
                0.9999989322967481,
                0.9999987901337396,
                0.9999984465015047,
                0.9999974387187053,
                0.9999977396751634,
                0.9999996940977002,
                0.9999984465015047,
                0.9999991684719723
            ],
            [
                0.9999994956527721,
                0.9999977396746244,
                0.9999989322973845,
                0.9999991684718732,
                0.9999991684717742,
                0.9999957771670592,
                0.9999996072138934,
                0.9999945777829699,
                0.9999994284996891,
                0.9999992661787571
            ],
            [
                0.9999910603068934,
                0.9999832985841344,
                0.9999832985741752,
                0.9999952149037942,
                0.9999921107383551,
                0.9999930377420911,
                0.9999910603068939,
                0.9999977396762411,
                0.999999057755069,
                0.9999885212332436
            ],
            [
                0.9999987901346049,
                0.999998005269803,
                0.999998446502801,
                0.999997438717484,
                0.9999994284994167,
                0.9999990577555185,
                0.9999962733620488,
                0.9999984465026158,
                0.9999989322972573,
                0.9999980052705163
            ],
            [
                0.9999990577550691,
                0.9999994956527121,
                0.9999986290432834,
                0.9999991684720715,
                0.9999990577549568,
                0.9999984465020603,
                0.9999989322973845,
                0.9999984465018751,
                0.9999994956527121,
                0.9999989322972572
            ],
            [
                0.9999991684719723,
                0.9999986290432834,
                0.9999980052695652,
                0.9999992661788445,
                0.9999990577552937,
                0.9999984465020603,
                0.9999970976873229,
                0.9999991684717742,
                0.9999993524053562,
                0.9999992661791944
            ],
            [
                0.9999990577554061,
                0.9999994284994167,
                0.999998239656367,
                0.9999987901346049,
                0.9999989322967481,
                0.9999977396759716,
                0.9999982396572065,
                0.9999992661792819,
                0.9999996940976271,
                0.9999993524049702
            ],
            [
                0.9999987901344607,
                0.999997739675972,
                0.9999952149060762,
                0.9999952149060758,
                0.9999967112505429,
                0.999994577779092,
                0.999996273361605,
                0.9999952149049356,
                0.9999986290432834,
                0.9999982396569966
            ],
            [
                0.9999977396751633,
                0.9999987901337396,
                0.9999977396759716,
                0.9999962733598274,
                0.9999989322972572,
                0.999997438717484,
                0.9999938558275956,
                0.9999990577556308,
                0.999998239656367,
                0.9999989322967481
            ],
            [
                0.9999945777829695,
                0.9999885212305071,
                0.9999724643056274,
                0.9626731106479246,
                0.9999646437535146,
                0.9999952149055054,
                0.9999910603004994,
                0.9999885212264018,
                0.999998005269803,
                0.9999974387180947
            ],
            [
                0.9999991684719723,
                0.9999962733598275,
                0.9999987901347491,
                0.9999994284994167,
                0.9999980052707541,
                0.9999982396572065,
                0.9999990577552937,
                0.9999980052705164,
                0.999997438716568,
                0.9999987901346049
            ],
            [
                0.9999810748517645,
                0.9999938558246659,
                0.999983298574177,
                0.9999984465026158,
                0.9999986290427931,
                0.9999921107392958,
                0.999999168471675,
                0.999995214904935,
                0.9999977396765105,
                0.9999957771655488
            ],
            [
                0.9999977396754328,
                0.9999980052695652,
                0.9999984465026159,
                0.9999987901338839,
                0.9999990577557432,
                0.9999986290426298,
                0.999998239656367,
                0.9999993524051246,
                0.9999980052695653,
                0.9999982396569966
            ],
            [
                0.9999987901341723,
                0.9999957771665556,
                0.9999957771665556,
                0.999995214904935,
                0.9999962733598275,
                0.9999984465026158,
                0.9999898700126449,
                0.9999982396572065,
                0.9999952149066462,
                0.9999930377429205
            ],
            [
                0.9999990577550691,
                0.9999970976880149,
                0.9999987901338838,
                0.9999970976876691,
                0.9999989322967482,
                0.9999994284995529,
                0.9999980052705163,
                0.9999987901338838,
                0.9999970976887068,
                0.9999984465022455
            ],
            [
                0.9999952149072169,
                0.9999967112493665,
                0.9999996072137529,
                0.9999996533672962,
                0.9999987901344608,
                0.9999987901337396,
                0.9999974387184,
                0.999997097688707,
                0.9999952149049355,
                0.9999974387184
            ],
            [
                0.9999982396561571,
                0.9999990577549568,
                0.9999984465020603,
                0.9999952149072168,
                0.9999957771675624,
                0.9999990577552937,
                0.9999980052705164,
                0.9999974387177893,
                0.9999986290424663,
                0.9999962733620488
            ],
            [
                0.9999994956524114,
                0.9999994284994849,
                0.9999987901338838,
                0.9999980052705164,
                0.9999984465024306,
                0.9999990577551815,
                0.9999994284995529,
                0.9999989322966208,
                0.9999982396561572,
                0.9999989322975118
            ],
            [
                0.9999980052702786,
                0.9999980052705164,
                0.9999990577552939,
                0.9999989322970027,
                0.9999989322968754,
                0.9999990577550691,
                0.9999997897567341,
                0.9999994284992805,
                0.9999990577551815,
                0.9999992661791944
            ],
            [
                0.9999982396565769,
                0.9999994956525918,
                0.9999984465024306,
                0.9999987901341723,
                0.9999982396569966,
                0.9999991684722698,
                0.9999982396559474,
                0.9999982396569966,
                0.9999994956524114,
                0.9999974387187053
            ],
            [
                0.9999970976876689,
                0.9999952149066464,
                0.999995214904935,
                0.9999952149055054,
                0.9999986290429566,
                0.9999938558232011,
                0.999996711252111,
                0.9999957771655488,
                0.9999898700041914,
                0.9999982396561572
            ],
            [
                0.9999974387184,
                0.999997097686977,
                0.9999945777816769,
                0.9999982396572065,
                0.9999957771645422,
                0.9999945777810313,
                0.9999967112513267,
                0.9999994956526519,
                0.9999967112517189,
                0.9999977396759717
            ],
            [
                0.9999957771650455,
                0.9999986290432835,
                0.9999991684722698,
                0.9999990577556308,
                0.9999980052695652,
                0.9999980052693274,
                0.999998790134605,
                0.9999938558275964,
                0.9999977396746244,
                0.9999957771655491
            ]
        ]
    },
    {
        "q_id": "10646_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            19,
            22,
            24,
            26,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            36,
            38,
            40,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            65,
            66,
            67,
            69,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            99,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            122,
            123,
            124,
            125,
            126,
            127,
            37,
            39,
            41,
            98
        ],
        "rewards": [
            [
                0.9999151889789105,
                3.288749849060371e-06,
                0.987568351021981,
                0.9988304897599666,
                0.9980732651589204,
                4.785096775676685e-06,
                5.715003787922939e-07,
                3.7266392838544054e-06,
                0.9978172837402512,
                7.889260701237816e-06
            ],
            [
                0.9999485577925706,
                0.9999417087553831,
                0.9999852610200066,
                1.0677033791204289e-06,
                4.450851580469341e-07,
                0.9986749776933938,
                0.9986749777397623,
                0.999738809662399,
                0.9990889487906055,
                0.9995694430154095
            ],
            [
                0.012431648795075894,
                8.9396994983433e-06,
                6.962255416961874e-06,
                4.0063706496627415e-05,
                1.3007130010543792e-05,
                0.00012339454502984816,
                0.9996200155631071,
                2.4300237826203363e-05,
                2.4300234931404677e-05,
                2.4300249394528152e-05
            ],
            [
                3.9278629390507954e-07,
                6.47594643788744e-07,
                7.338213304283347e-07,
                5.043474683050556e-07,
                8.315277302649045e-07,
                7.889264466115267e-06,
                3.2887486731252264e-06,
                1.637376862471855e-07,
                2.430023781444595e-05,
                4.222831933864508e-06
            ],
            [
                0.9975273765315318,
                0.5621765008857981,
                0.9953904278633579,
                1.0129994595718555e-05,
                5.4222215541571775e-06,
                1.1478764018305152e-05,
                0.8175744850834648,
                0.9940889316308149,
                8.481102060514166e-05,
                1.4738985477605971e-05
            ],
            [
                1.994730196992497e-06,
                6.144172404129392e-06,
                3.288750241204353e-06,
                1.4738980202752053e-05,
                1.9947292458930106e-06,
                1.4738976692993472e-05,
                2.144495092658685e-05,
                6.9622554185195676e-06,
                1.5534983098151152e-06,
                1.5534977543661227e-06
            ],
            [
                7.338212428913528e-07,
                1.2098652507583041e-06,
                1.7603438428028262e-06,
                9.422443692176231e-07,
                2.90231198483099e-06,
                4.7850950649408664e-06,
                6.475948753276293e-07,
                2.9023109454928147e-06,
                9.422448184424489e-07,
                7.889262584809997e-06
            ],
            [
                NaN,
                0.9980732648799792,
                0.9999974387165683,
                0.9999885212264077,
                5.82912445833697e-05,
                0.9992903296308266,
                0.9999898700078133,
                1.8925148215055747e-05,
                0.9999687980998373,
                0.9999885212346201
            ],
            [
                1.5534981245618166e-06,
                5.043476486626983e-07,
                7.889262576544182e-06,
                0.622459338205511,
                6.475949525878687e-07,
                0.9984988175413685,
                3.7266406162269133e-06,
                0.9149009538328171,
                5.043475284068321e-07,
                0.9525741241296944
            ],
            [
                4.450852110981151e-07,
                0.9998415637647267,
                1.370957697068717e-06,
                6.475947209709154e-07,
                7.338208055579897e-07,
                1.760343632774555e-06,
                2.902311984915459e-06,
                7.3382106794623e-07,
                5.715005151400212e-07,
                0.997817283781833
            ],
            [
                3.726640616630245e-06,
                6.14417606469958e-06,
                2.561282821176841e-06,
                5.422221554374162e-06,
                5.422217029006611e-06,
                NaN,
                2.5612819051722694e-06,
                4.785094493932679e-06,
                2.902313022554084e-06,
                7.889262584006375e-06
            ],
            [
                3.535625068386498e-05,
                3.7266401705820042e-06,
                1.8925155000025902e-05,
                0.9324533135530545,
                3.1201918672576835e-05,
                NaN,
                7.889262584666493e-06,
                1.1478768121735194e-05,
                6.144176064531938e-06,
                NaN
            ],
            [
                1.0129988562901417e-05,
                4.450851580402549e-07,
                1.994729245878497e-06,
                8.315283249742262e-07,
                1.7603425836246058e-06,
                7.338211553443704e-07,
                1.7603438426747447e-06,
                5.043472879185794e-07,
                4.450851049645897e-07,
                5.422219615188307e-06
            ],
            [
                2.4300234922476113e-05,
                7.889259762307618e-06,
                2.7535697639856078e-05,
                1.8925145962212114e-05,
                8.481107152054354e-05,
                7.889259762307618e-06,
                2.7535691051475422e-05,
                9.61023800487697e-05,
                1.0129990978644356e-05,
                1.3007133114602719e-05
            ],
            [
                5.043472879240838e-07,
                0.0009110513151992617,
                1.3007131559816827e-05,
                0.8807970764133561,
                3.535626329924694e-05,
                5.043475284068321e-07,
                1.0129994601872894e-05,
                2.1444953520884646e-05,
                9.422445937683077e-07,
                5.043472879185794e-07
            ],
            [
                0.9669140230414183,
                0.998073264964154,
                5.422217676397663e-06,
                8.939697368110433e-06,
                0.8670357683915538,
                1.3709578604308174e-06,
                0.9959298626786104,
                4.222833947498071e-06,
                0.9820137925711586,
                1.5534973840150989e-06
            ],
            [
                1.9947306725215466e-06,
                0.9241418231126367,
                1.9947301969707264e-06,
                0.9980732654127881,
                2.75356811755688e-05,
                4.006369694959736e-05,
                1.3007128462477575e-05,
                1.6701417858577338e-05,
                0.000430557126942361,
                6.1441745989959955e-06
            ],
            [
                1.5534971988707037e-06,
                2.6995774526804044e-07,
                6.475947981095112e-07,
                1.5534971986601824e-06,
                1.3709572067955008e-06,
                7.33820893021171e-07,
                1.3709573702111586e-06,
                4.785093923116048e-06,
                3.9278638750062605e-07,
                3.2887506329595395e-06
            ],
            [
                3.120192616322256e-05,
                3.120190386700167e-05,
                NaN,
                1.892514597563747e-05,
                4.785094493184135e-06,
                8.939693089726528e-06,
                1.0129989771288745e-05,
                1.0129990977262395e-05,
                1.0129993388546776e-05,
                4.2228349527213495e-06
            ],
            [
                0.9994472214698416,
                1.2098655392354511e-06,
                0.0017007222592421605,
                1.3709570432888404e-06,
                3.2887478889962107e-06,
                NaN,
                6.96225873895455e-06,
                3.726639281475085e-06,
                5.043476486626983e-07,
                3.7266379512112265e-06
            ],
            [
                6.14417606659952e-06,
                1.0129992185299915e-05,
                5.422221554038823e-06,
                4.5397873994468824e-05,
                1.6701419848475466e-05,
                1.4738987238464762e-05,
                2.430024071781994e-05,
                0.00013982212379942078,
                4.539788484641129e-05,
                1.8925150483734688e-05
            ],
            [
                5.715003788557066e-07,
                1.0129988558792384e-05,
                2.4300249419722622e-05,
                6.962257908753841e-06,
                3.059023727869902e-07,
                3.0590219042419564e-07,
                6.962254589332388e-06,
                2.5612831266165976e-06,
                2.4300237794201987e-05,
                2.1024331597066579e-07
            ],
            [
                4.785093923847183e-06,
                2.4300237810821485e-05,
                6.9622537542311375e-06,
                4.222835457906302e-06,
                7.889260702342794e-06,
                6.962253759752719e-06,
                1.3709575336405514e-06,
                1.1478766708693027e-05,
                5.422221554374162e-06,
                6.144175330584843e-06
            ],
            [
                8.939699500164542e-06,
                2.753570421361326e-05,
                8.939698435226916e-06,
                0.9999993524054334,
                3.28874945711983e-06,
                7.889264466230069e-06,
                2.753570092478113e-05,
                0.9999974387171787,
                2.753569437476538e-05,
                1.0129995809763438e-05
            ],
            [
                2.6995780963588326e-07,
                4.785096205830278e-06,
                8.315277302649045e-07,
                0.9046505357435622,
                5.043475885576967e-07,
                4.450851580273012e-07,
                5.043474081902134e-07,
                5.043476486764593e-07,
                1.553497939625029e-06,
                5.71500719517695e-07
            ],
            [
                0.9999417087207032,
                0.9999832985701983,
                0.9999910603036967,
                0.9996646500119716,
                0.9999485577679709,
                0.9890130554263734,
                0.9999938558253991,
                0.9999599363126407,
                0.9999832985741818,
                0.9999910603058294
            ],
            [
                3.535626755428014e-05,
                1.760344052650207e-06,
                1.2098658277181688e-06,
                1.0677033791107183e-06,
                2.260324028306588e-06,
                0.9999984465020603,
                0.9999994956527121,
                8.93969736929749e-06,
                4.785096205882502e-06,
                0.9999990577556307
            ],
            [
                0.999948557780272,
                0.999964643749305,
                0.9998911030908227,
                0.9982992772001756,
                0.9999151889890767,
                0.9998601779428534,
                0.9997965730518729,
                0.999796573027361,
                0.9997040429756187,
                0.9988304896310484
            ],
            [
                8.939698433974813e-06,
                6.962254588977791e-06,
                1.3007126910649678e-05,
                1.9947301970106386e-06,
                0.9933071502520973,
                2.4300232032009452e-05,
                4.006367782348017e-05,
                2.260323489435463e-06,
                0.9997040429721055,
                6.475949525878687e-07
            ],
            [
                NaN,
                1.8925154997134284e-05,
                4.785095635413826e-06,
                3.120190756487605e-05,
                NaN,
                0.00015843615841853857,
                4.539786316564981e-05,
                NaN,
                3.535625066508635e-05,
                6.962255419380732e-06
            ],
            [
                4.785096205778054e-06,
                3.72664061671159e-06,
                2.902311639073834e-06,
                2.5612828213352452e-06,
                6.144174601588856e-06,
                6.144175334172377e-06,
                3.726640616423495e-06,
                1.7603438428460541e-06,
                1.6701425824307884e-05,
                1.3007126912826352e-05
            ],
            [
                7.889265404759017e-06,
                3.120190389923804e-05,
                1.0129990977759901e-05,
                8.93969523358515e-06,
                1.670142382796865e-05,
                1.892515047684989e-05,
                2.1444945818347226e-05,
                1.0129992184268048e-05,
                0.9999986290427931,
                2.4300232038197563e-05
            ],
            [
                0.0001584362345587931,
                2.561282821239737e-06,
                NaN,
                2.561283431250394e-06,
                8.939695230560591e-06,
                NaN,
                4.2228344511197656e-06,
                2.7535694331891973e-05,
                7.889262584809997e-06,
                2.1444948364587412e-05
            ],
            [
                2.2603245669804887e-06,
                2.260324028281919e-06,
                1.5534973835884043e-06,
                0.9994472213852655,
                4.222832437324657e-06,
                0.9986749778378912,
                3.9278620024560995e-07,
                7.338210679368864e-07,
                2.4300249406550775e-05,
                1.553498310118888e-06
            ],
            [
                1.670141983978702e-05,
                3.120192621634449e-05,
                7.889260700721204e-06,
                2.430023780003649e-05,
                1.0129995806317745e-05,
                6.962258738827909e-06,
                4.78509563466093e-06,
                1.1478766754941153e-05,
                8.939698430218506e-06,
                7.889263525261671e-06
            ],
            [
                1.3709567164139816e-06,
                4.00637111445839e-05,
                2.902311638759718e-06,
                2.9023116388547446e-06,
                7.889260702744606e-06,
                6.144175333635923e-06,
                2.2603237582655916e-06,
                6.475948753741589e-07,
                8.939695228186476e-06,
                3.2887506317631033e-06
            ],
            [
                2.1444950945466384e-05,
                1.4738987241172537e-05,
                1.8925141463066202e-05,
                6.962255413795828e-06,
                1.9947304346245714e-06,
                3.288749456563487e-06,
                3.726640615752405e-06,
                4.22283545795623e-06,
                1.209865827507999e-06,
                2.260323758835034e-06
            ],
            [
                0.9999938558224711,
                0.9999952149037948,
                4.222834450589758e-06,
                1.6701419841852803e-05,
                0.9994472212626143,
                0.9999957771670624,
                0.9999756997679787,
                0.9998766054401922,
                0.999991060302633,
                0.999968798073842
            ],
            [
                3.120190390775116e-05,
                2.144495351004062e-05,
                0.00359360262477218,
                1.1478766746777263e-05,
                5.829125123156014e-05,
                1.6701417848187652e-05,
                NaN,
                1.994729721396435e-06,
                1.0129993394314164e-05,
                NaN
            ],
            [
                1.3709570433075437e-06,
                4.785093923847183e-06,
                8.939694172290508e-06,
                4.222834954607099e-06,
                1.4738988997044936e-05,
                4.78509563535725e-06,
                1.3709567165386693e-06,
                1.9947304343996117e-06,
                6.14417679836736e-06,
                NaN
            ],
            [
                8.315284241083696e-07,
                1.3007133111929193e-05,
                6.962259568775433e-06,
                6.475949525981759e-07,
                5.422217030288788e-06,
                0.9947798745240726,
                2.5612834315811786e-06,
                0.9399133462493554,
                5.715005151485975e-07,
                5.422221554847581e-06
            ],
            [
                6.475951069855719e-07,
                5.71500378780859e-07,
                4.4508505192819656e-07,
                5.043472278016945e-07,
                1.5534979396815448e-06,
                6.144175332283612e-06,
                1.067702615330819e-06,
                1.3709568797522746e-06,
                5.043475885576967e-07,
                6.962253759157502e-06
            ],
            [
                4.222835458002318e-06,
                7.889263525778283e-06,
                0.9999993524050474,
                0.9999987901341723,
                6.962253759670401e-06,
                0.9999996533674202,
                1.76034300345598e-06,
                0.9999992661786696,
                0.9999993524051246,
                0.9999991684717741
            ],
            [
                0.9046505286741727,
                0.9999885212291393,
                0.9999546021313743,
                0.9999785550439878,
                0.9999724642958748,
                0.9999938558225053,
                0.9997965729662915,
                0.9999251537553941,
                0.9995121429454509,
                0.34864514210180597
            ],
            [
                5.043473480730849e-07,
                5.7150044702099e-07,
                7.33821067986608e-07,
                5.04347348070562e-07,
                3.9278638755456876e-07,
                1.2098658277181688e-06,
                2.3823688158658173e-07,
                4.785092782936557e-06,
                4.450849458125204e-07,
                1.3709573702111586e-06
            ],
            [
                0.9940889320138949,
                0.9875683487923619,
                0.9992903294486627,
                0.9959298631674965,
                0.9999687980737538,
                0.9997388097220108,
                0.9995694429609864,
                0.9996200154242477,
                0.9980732656688945,
                0.9984988175699862
            ],
            [
                0.9984988175495699,
                0.996406397636174,
                9.610240305005544e-05,
                0.987568348346438,
                1.6701417857058377e-05,
                2.1444950959196957e-05,
                0.0015011820696748598,
                6.605214449759119e-05,
                5.8291272364888606e-05,
                0.9964063974010723
            ],
            [
                5.422220907298259e-06,
                4.222834953712232e-06,
                NaN,
                NaN,
                5.1442225836439433e-05,
                2.7535687767453096e-05,
                NaN,
                1.3007128460040644e-05,
                5.42221702886853e-06,
                1.1478769478987456e-05
            ],
            [
                4.785093922654737e-06,
                1.3007130006048483e-05,
                3.7266397258454935e-06,
                4.539786295326824e-05,
                8.939696300376156e-06,
                1.3007128461838766e-05,
                3.726638395215427e-06,
                1.3007130006521673e-05,
                0.9241418246795768,
                NaN
            ],
            [
                9.422444815495185e-07,
                5.715003788894922e-07,
                1.3709575335919232e-06,
                2.5612822104977725e-06,
                5.715002426254813e-07,
                9.422448184801556e-07,
                6.47594875389178e-07,
                7.338211554641698e-07,
                1.9947306723745965e-06,
                6.962256249606473e-06
            ],
            [
                0.998674977440446,
                1.6701415867707307e-05,
                2.1444940731484803e-05,
                0.9992903295189194,
                1.3007131553239479e-05,
                6.605217607477225e-05,
                5.422218321589366e-06,
                2.144495349943063e-05,
                7.889262581337206e-06,
                0.9998415638037211
            ],
            [
                1.994729245878497e-06,
                2.2603251061232293e-06,
                1.1478769491014062e-05,
                5.422217676200406e-06,
                1.012999097195566e-05,
                4.785095064523075e-06,
                1.6701421805321264e-05,
                4.222831926690217e-06,
                2.2603253753174176e-06,
                6.962259565520738e-06
            ],
            [
                5.8291244547321203e-05,
                0.9995694429650822,
                9.422445938728576e-07,
                0.9999687980997901,
                0.9465966686936262,
                6.475948753741589e-07,
                1.4738987237124277e-05,
                2.7535700931292276e-05,
                3.7266410608720178e-06,
                0.9770226327661524
            ],
            [
                0.9999986290426297,
                0.9999987901341723,
                0.9999986290421394,
                0.9999984465015047,
                5.422217030288788e-06,
                1.670142184171555e-05,
                4.0063682625048554e-05,
                0.9999980052695652,
                0.999999266179107,
                0.9999986290432834
            ],
            [
                4.785093924251918e-06,
                3.2887498493983645e-06,
                3.288749849368453e-06,
                1.0677027427471959e-06,
                2.1444950957402623e-05,
                1.5534983101478522e-06,
                4.222831934286977e-06,
                0.9997040427595703,
                5.422220908703723e-06,
                1.0129987355564522e-05
            ],
            [
                2.5612815998141903e-06,
                1.012999097195566e-05,
                3.288749849060371e-06,
                4.222833443645997e-06,
                1.067703251769523e-06,
                1.3007130007988564e-05,
                2.753568444436428e-05,
                0.00020342689798485267,
                1.892514597832254e-05,
                1.3007129999707728e-05
            ],
            [
                4.006370168019018e-05,
                0.0004878570938882015,
                2.561283431916622e-06,
                6.144175334094145e-06,
                3.2887502412970765e-06,
                8.315277302059155e-07,
                2.902313368963394e-06,
                1.067702742726318e-06,
                6.475947209918244e-07,
                4.222835457595211e-06
            ],
            [
                1.012999339031569e-05,
                7.889265404328504e-06,
                1.670142580146272e-05,
                3.5356263289471766e-05,
                1.9947294817416212e-06,
                2.1444956063303036e-05,
                1.0129995801637498e-05,
                NaN,
                4.006368256456438e-05,
                2.5612822103812995e-06
            ],
            [
                2.260324566359653e-06,
                0.9902915231066446,
                0.9399133536130195,
                0.9840936098626464,
                3.2887506328279317e-06,
                0.9859363757589993,
                0.9859363731891988,
                0.99477987491339,
                0.9241418158002492,
                0.9964063969858927
            ],
            [
                1.5534977545243671e-06,
                1.6701419847381817e-05,
                6.144177531459659e-06,
                3.726639283752725e-06,
                1.012998977022003e-05,
                6.144177531381426e-06,
                3.726640616670918e-06,
                1.7603432132912532e-06,
                4.222834954607099e-06,
                1.1478773598329648e-05
            ],
            [
                0.9241418147556224,
                1.1478769493331685e-05,
                0.993307149245981,
                0.9999970976869769,
                0.9999785550592568,
                0.9999810748585273,
                0.9999151889182126,
                0.9998204720127244,
                0.9998204720771418,
                0.9999251537370873
            ],
            [
                3.2887494567788457e-06,
                2.5612828203475515e-06,
                2.9023112930949896e-06,
                5.422220261544064e-06,
                7.889261635762563e-06,
                NaN,
                3.7266406153660187e-06,
                2.1444950929395377e-05,
                1.3709576948006475e-06,
                2.2603251019973407e-06
            ],
            [
                1.0129990978847043e-05,
                1.3007125355060104e-05,
                1.5534979397267575e-06,
                3.7266379495301117e-06,
                5.422221554374162e-06,
                NaN,
                5.043473480643696e-07,
                7.889262580791891e-06,
                NaN,
                1.0129989768911772e-05
            ],
            [
                0.9999957771665557,
                0.9999957771675623,
                0.9999986290424664,
                0.9999974387180947,
                0.9999977396748938,
                0.9999967112513267,
                0.9999977396748938,
                0.9999970976890528,
                0.9999962733611601,
                0.9999952149060758
            ],
            [
                9.422445938454347e-07,
                1.5534971981232819e-06,
                1.5534981243724885e-06,
                1.1478765384054893e-05,
                6.962256247098965e-06,
                3.2887494563241995e-06,
                1.1478773596575768e-05,
                NaN,
                2.2603242976733308e-06,
                4.7850939230116e-06
            ],
            [
                6.144175326762608e-06,
                6.962254581733882e-06,
                6.96225458885115e-06,
                4.222832436164788e-06,
                1.0129987354882753e-05,
                3.7266406161591266e-06,
                7.889266344766165e-06,
                1.300712534890863e-05,
                NaN,
                6.962255418215627e-06
            ],
            [
                3.7266383950934104e-06,
                8.939700565996655e-06,
                2.753570421601738e-05,
                2.9023126768258393e-06,
                4.785096775998733e-06,
                9.422450431860582e-07,
                8.315281267581578e-07,
                5.715004470077356e-07,
                5.715002426254813e-07,
                8.315281267430323e-07
            ],
            [
                0.9840936102708401,
                2.9023123300734604e-06,
                0.999290329625543,
                0.00010889686974417332,
                0.00043055702020034983,
                0.04208773046885081,
                3.927862470257753e-07,
                3.288750633139005e-06,
                3.726639727750306e-06,
                0.9991959142463385
            ],
            [
                1.9947304345919157e-06,
                1.994729721469003e-06,
                6.144176798590883e-06,
                9.422445938728576e-07,
                4.22283394762097e-06,
                1.1478764019077695e-05,
                3.1201911312013484e-05,
                6.9622570761976915e-06,
                0.9988304895892995,
                3.2887502409830123e-06
            ],
            [
                0.9241418231126367,
                2.902311292960369e-06,
                3.927861065988446e-07,
                0.9953904283825529,
                0.9924227577131467,
                0.9980732657414281,
                0.9399133439350608,
                2.5612831265630198e-06,
                0.9525741251394715,
                0.9875683496956436
            ],
            [
                0.9997694932856999,
                0.9999599363030484,
                0.9999546021367807,
                0.999948557780219,
                0.9999646437535178,
                3.120190020613144e-05,
                1.4738987236641703e-05,
                0.9999832985821384,
                0.9993736657552127,
                9.610240329616323e-05
            ],
            [
                6.475948753741589e-07,
                7.889265403883644e-06,
                2.2603234894745224e-06,
                6.144177529531776e-06,
                1.0129990979215566e-05,
                6.962254589104433e-06,
                3.726640616477725e-06,
                2.561283431986506e-06,
                1.0677024878858105e-06,
                4.222832437497486e-06
            ],
            [
                0.9986749775952648,
                0.9999485577988247,
                0.9999898700078133,
                0.999925153737218,
                0.9999921107383578,
                0.9999898700090233,
                0.9998766054108356,
                0.9999885212318835,
                0.9999910603047665,
                0.99242275976864
            ],
            [
                1.994729483608425e-06,
                1.7603432133032607e-06,
                3.726640616670918e-06,
                3.466325797778739e-07,
                2.902312330965655e-06,
                1.9947301969471416e-06,
                5.422217676299034e-06,
                7.889264466445326e-06,
                1.1478773598329648e-05,
                0.9947798739703227
            ],
            [
                3.9278634071901495e-07,
                5.715003787444746e-07,
                1.3007134662432895e-05,
                0.99908894868141,
                0.9579122711832405,
                6.605216824595201e-05,
                0.9997388096597697,
                5.043472277769247e-07,
                1.2098661159335663e-06,
                5.7150037884791e-07
            ],
            [
                4.7850950646797465e-06,
                0.9991959140562334,
                8.31528423991904e-07,
                0.8519528019683105,
                0.9859363710972002,
                3.059021539272224e-07,
                7.889263524257144e-06,
                8.315278293604072e-07,
                0.7310585786300049,
                2.753568119580344e-05
            ],
            [
                0.9999938558232011,
                0.9988304897490875,
                5.422220908762902e-06,
                3.1201903929204235e-05,
                0.9999910603015649,
                1.0129988562164371e-05,
                0.9997388096292115,
                0.9999810748562746,
                1.3007128457958606e-05,
                7.889260704179641e-06
            ],
            [
                4.7850933535006355e-06,
                4.78509563466093e-06,
                2.561283431888668e-06,
                6.962254589332388e-06,
                1.994729483508644e-06,
                1.0129993391531815e-05,
                6.1441760661636525e-06,
                1.209865539274514e-06,
                1.1478769492392108e-05,
                1.4738976695942536e-05
            ],
            [
                6.475945665800774e-07,
                5.715003788933905e-07,
                6.475947209638476e-07,
                3.288750241410738e-06,
                4.222832437386106e-06,
                6.605212889714584e-05,
                1.0129992179053445e-05,
                4.785092783267308e-06,
                1.0129993393319151e-05,
                1.0129989769722525e-05
            ],
            [
                7.338207180601138e-07,
                1.4738978422001344e-05,
                6.475949525722606e-07,
                2.699579061739269e-07,
                9.422442568300383e-07,
                3.927860597576085e-07,
                1.5534979395006942e-06,
                3.2887486728201357e-06,
                5.715003107525447e-07,
                5.043476486448089e-07
            ],
            [
                0.9990889486440047,
                2.7535704201392335e-05,
                0.9991959142247324,
                0.5,
                0.9046505318875316,
                3.2887502398344335e-06,
                0.9997040429774615,
                0.9999898700090336,
                1.0129995805691255e-05,
                6.144176066443055e-06
            ],
            [
                1.3709570432052998e-06,
                0.9991959140514632,
                0.9940889301039677,
                0.9998766054104872,
                1.760343003035712e-06,
                0.9984988179146204,
                0.9971990732878024,
                0.9993736659756056,
                0.9996200155175502,
                0.9992903294533685
            ],
            [
                1.147876538789672e-05,
                2.753570421361326e-05,
                1.7603425835461557e-06,
                0.9997388096306706,
                0.9996200155638698,
                2.7535681204818868e-05,
                6.144176799166453e-06,
                6.962253757840428e-06,
                0.8175744828610095,
                3.5356259104666025e-05
            ],
            [
                7.889261643554814e-06,
                8.939697366029015e-06,
                NaN,
                3.5356246405682084e-05,
                2.9023133686835932e-06,
                4.785094494185095e-06,
                1.0129992186939844e-05,
                5.422218969601935e-06,
                2.4300231988162266e-05,
                1.3007123810306773e-05
            ],
            [
                0.9999546021151307,
                1.1478768124553928e-05,
                0.999978555054151,
                1.9947292457750883e-06,
                3.2887490652451393e-06,
                4.785095634843714e-06,
                1.7603440525701563e-06,
                7.889265404959923e-06,
                1.9947301969707264e-06,
                1.0129990976728036e-05
            ],
            [
                0.9995121428851934,
                0.9933071494503,
                0.9998601778594738,
                9.422448185187191e-07,
                0.9706877724815146,
                5.144220130589672e-05,
                0.9740426422841655,
                0.9324533144915912,
                0.8807970873650401,
                0.9999417087275647
            ],
            [
                2.7535694373763664e-05,
                3.726640616630245e-06,
                8.93969630317306e-06,
                2.7535684524701807e-05,
                0.9998415637455221,
                7.484621828887399e-05,
                0.9998204720552453,
                1.4738987241172537e-05,
                1.1478773596575768e-05,
                1.1478764019996392e-05
            ],
            [
                0.9999962733589389,
                0.9999967112509346,
                2.260325375572331e-06,
                2.4300249421932663e-05,
                5.1442195225848094e-05,
                1.892514597832254e-05,
                0.9999485577864734,
                0.0017007227130544343,
                0.99999893229713,
                0.9999989322973845
            ],
            [
                5.144223814063949e-05,
                5.144220136091472e-05,
                5.4222209064007344e-06,
                0.0002034269972307794,
                6.144176066264237e-06,
                5.829125155557251e-05,
                5.829127242214212e-05,
                1.0129992185060374e-05,
                1.8925152744771773e-05,
                2.1444950959196957e-05
            ],
            [
                0.14804719991116136,
                4.785096775580942e-06,
                1.2098659718539182e-06,
                1.370957370146321e-06,
                2.902311983500617e-06,
                1.012999580884213e-05,
                2.9023133684090715e-06,
                6.9622587372828785e-06,
                6.9622570786798724e-06,
                6.962253747443138e-06
            ],
            [
                1.4738976697229395e-05,
                1.1478766756444477e-05,
                3.120192244650358e-05,
                2.753569108453202e-05,
                7.889259763857458e-06,
                1.4738985484549675e-05,
                2.144494073569759e-05,
                4.222831933480445e-06,
                1.892514370819833e-05,
                4.539788478662733e-05
            ],
            [
                3.7266392839425286e-06,
                4.222833444429485e-06,
                4.785094494628999e-06,
                1.7603434230729168e-06,
                4.222835457526079e-06,
                2.260324567054496e-06,
                1.9947297214544894e-06,
                2.9023116388547446e-06,
                1.2098661161927025e-06,
                5.422221554374162e-06
            ],
            [
                1.3007131551441357e-05,
                0.999876605440598,
                0.9999785550442307,
                0.9999038976082765,
                0.9989677691113787,
                0.9997965729568443,
                1.4738985481091229e-05,
                0.9999251537640921,
                0.9990889487981289,
                0.9999485578057716
            ],
            [
                1.2098661160612089e-06,
                1.5534975686861963e-06,
                6.962259569313662e-06,
                1.0129995804696242e-05,
                4.222833947359807e-06,
                2.2603248365014775e-06,
                1.3709578605118645e-06,
                9.422448184287376e-07,
                1.553497754080718e-06,
                9.422444814749625e-07
            ],
            [
                5.715006513900631e-07,
                5.04347588540266e-07,
                3.2887498492518007e-06,
                5.4222208995558764e-06,
                1.1478764018012839e-05,
                9.422444815409489e-07,
                5.422218967797024e-06,
                1.0677026154551157e-06,
                3.9278605978261504e-07,
                4.222831934202483e-06
            ],
            [
                0.9992903296489482,
                NaN,
                0.9940889320987197,
                1.0129995807441742e-05,
                0.00012339461779046836,
                0.9968273170588433,
                0.998967768788702,
                0.9978172831844762,
                0.9796676482527243,
                6.962258737472841e-06
            ],
            [
                4.222833947774596e-06,
                0.02595735941123018,
                1.7603438426747447e-06,
                0.9890130559930915,
                0.999704042838369,
                0.9989677691446308,
                0.7310585903489891,
                8.481108145286679e-05,
                0.5312093733737563,
                1.9947304346245714e-06
            ],
            [
                0.11920292984474949,
                0.9997965730522458,
                1.3007123809644304e-05,
                0.9997694933416302,
                NaN,
                0.9980732655386025,
                0.9820137865505766,
                0.9953904278291722,
                0.9706877697256248,
                0.0001233946328880421
            ],
            [
                6.475947209953583e-07,
                3.9278605978797364e-07,
                1.5534971989696065e-06,
                3.0590229984892605e-07,
                1.7603440527046419e-06,
                8.315280276505193e-07,
                4.450849458011859e-07,
                4.450849458179853e-07,
                5.043472879525233e-07,
                8.315277302747361e-07
            ],
            [
                2.144495607336692e-05,
                6.144175333926503e-06,
                5.422219615898437e-06,
                8.939698434495167e-06,
                1.9947290079889487e-06,
                6.144173828961387e-06,
                1.3007125361755747e-05,
                4.785093924047376e-06,
                5.422217030288788e-06,
                3.2887490653109436e-06
            ],
            [
                0.9999038975507067,
                0.9999756997563714,
                0.9999832985821381,
                0.9997040429713047,
                0.9998415637076571,
                0.9997040428307052,
                0.9999832985841286,
                0.9999599362934974,
                0.9999724643089007,
                0.9999251537906257
            ],
            [
                0.9996200155165111,
                0.7549149813536518,
                0.9999646437451037,
                0.9465966668104392,
                0.9999546021313848,
                3.2887482807780376e-06,
                0.9992903296460586,
                0.985936375733172,
                0.9995121427838087,
                0.0004305569836385241
            ],
            [
                4.785096776133645e-06,
                1.3007125352978066e-05,
                4.2228319339950885e-06,
                8.939694169591174e-06,
                4.22283294098842e-06,
                2.4300237829827827e-05,
                2.9023119847359636e-06,
                7.889266346129453e-06,
                0.8519528000888387,
                1.7603434224164987e-06
            ],
            [
                0.9999982396567867,
                2.4300232038993178e-05,
                1.4738983727256784e-05,
                6.144176797115634e-06,
                9.610241496111313e-05,
                2.4300232030064617e-05,
                1.994729721469003e-06,
                1.3709576971242028e-06,
                0.9999974387177893,
                0.9999990577554061
            ],
            [
                1.7603434230729168e-06,
                5.422220261652556e-06,
                2.699577452746696e-07,
                0.9525741278322102,
                6.962253759157502e-06,
                1.994729483630195e-06,
                1.3007126911643378e-05,
                3.9278615343222713e-07,
                1.1478768124324254e-05,
                0.9770226281664712
            ],
            [
                5.422218969306048e-06,
                1.8553919030270097e-07,
                5.715004470129334e-07,
                2.10243416218096e-07,
                1.1478766755985128e-05,
                0.8807970779778824,
                8.939700566143004e-06,
                5.422217030121119e-06,
                3.059023363033496e-07,
                8.939698434820389e-06
            ],
            [
                1.1478768124783601e-05,
                0.9999977396759716,
                0.9999986290421394,
                6.962255419475714e-06,
                9.610244890302106e-05,
                3.288748673265808e-06,
                5.422220908481809e-06,
                4.0063682591672956e-05,
                0.9999974387177893,
                2.2603251061849014e-06
            ],
            [
                1.0129990978220553e-05,
                7.338211554464836e-07,
                5.04347348051526e-07,
                4.785093353739995e-06,
                4.785096776068365e-06,
                5.043474683009273e-07,
                0.5621765008857982,
                3.4663253846316044e-07,
                7.484624486174719e-05,
                0.8519527963298947
            ],
            [
                5.043475284274736e-07,
                3.2887494567070593e-06,
                3.9278605979011705e-07,
                5.422220259532031e-06,
                6.9622562487453084e-06,
                1.2098656835076114e-06,
                1.5534973841592143e-06,
                1.209865827698362e-06,
                1.067702615348298e-06,
                3.726639728184142e-06
            ],
            [
                1.0129989764415789e-05,
                6.144176797864436e-06,
                6.144173136019732e-06,
                1.3007131560621253e-05,
                4.006370164200498e-05,
                1.3709576969627325e-06,
                1.7603430027315182e-06,
                NaN,
                2.2603240264708045e-06,
                3.2887494564857185e-06
            ],
            [
                6.962259567407701e-06,
                1.7603434228007435e-06,
                1.5534979396815448e-06,
                1.4738976692993472e-05,
                1.7603432127148856e-06,
                1.1478773597118638e-05,
                9.422442566535035e-07,
                2.56128282131428e-06,
                5.422217676200406e-06,
                3.2887498488151014e-06
            ],
            [
                1.994730434798734e-06,
                2.4300249421225448e-05,
                0.9999991684717741,
                3.2887502415243994e-06,
                4.222834451169694e-06,
                0.9999977396765105,
                2.9023109471689794e-06,
                0.9999970976869769,
                0.9999977396754327,
                3.726639284017094e-06
            ],
            [
                4.785095063469892e-06,
                1.1478770859332632e-05,
                4.4508489275145346e-07,
                1.5534971989427613e-06,
                0.97068777184554,
                1.855391681898159e-07,
                0.9994472213232003,
                5.715002426343175e-07,
                1.5534983100595462e-06,
                6.144176066521288e-06
            ]
        ]
    },
    {
        "q_id": "10563_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999756997534811,
                0.9999885212332451,
                0.9999724643089097,
                0.9999938558268633,
                0.9999869928684365,
                0.9999810748540193,
                0.9999810748517651,
                0.999995777164542,
                0.999991060305828,
                0.9999832985701956
            ],
            [
                0.9995121428216435,
                9.610244915612066e-05,
                0.029312234037225486,
                0.9998601779425829,
                0.9994472214525726,
                0.9986749776821482,
                0.9964063979513104,
                0.9875683505760573,
                0.0006263342389942635,
                0.9796676447651426
            ],
            [
                6.144175334094145e-06,
                6.144176065940129e-06,
                6.962258739454786e-06,
                3.7266410609160796e-06,
                8.481102104014715e-05,
                3.5356259116499136e-05,
                1.0129990978847043e-05,
                4.785095634565186e-06,
                4.006369695353247e-05,
                7.889261644875049e-06
            ],
            [
                0.9978172840247309,
                0.9995694429651699,
                0.9796676454700793,
                0.00012339456000173458,
                7.484620045964068e-05,
                4.0063687392367425e-05,
                0.9998415637645353,
                1.3007134665130082e-05,
                0.9990889486632901,
                0.9996200154243915
            ],
            [
                0.9993736658208678,
                0.00017952805152314142,
                0.998299277480053,
                0.9991959141455572,
                0.9986749778600742,
                0.9996646499313715,
                0.999512142766722,
                0.9998204719916036,
                0.999841563783417,
                0.9996200154696498
            ],
            [
                0.9999852610127591,
                0.9999869928730893,
                0.9999962733598274,
                0.9999869928684354,
                0.9999984465020603,
                0.9999756997505892,
                0.9999952149037944,
                0.9999962733616046,
                0.9999785550592593,
                0.9999910603015658
            ],
            [
                2.753568451748946e-05,
                2.561282210590951e-06,
                5.422221554038823e-06,
                3.726641061027928e-06,
                2.7535687806920664e-05,
                1.370957370236096e-06,
                1.4738983727578497e-05,
                3.7266392838544054e-06,
                3.2887494572514376e-06,
                2.9023126769762986e-06
            ],
            [
                1.6701421840804172e-05,
                6.962257079465052e-06,
                1.4738987239295859e-05,
                2.4300249397180202e-05,
                3.7266397272757976e-06,
                2.9023112931873767e-06,
                1.1478773596847203e-05,
                7.889266346287306e-06,
                4.2228349546493465e-06,
                5.422217675756574e-06
            ],
            [
                0.9994472212525809,
                0.9991959141464924,
                0.9902915245392753,
                0.022977369868210328,
                1.8925145980181433e-05,
                0.9975273768927533,
                0.9986749776795293,
                0.9914225148555641,
                0.9859363723498167,
                0.990291523339447
            ],
            [
                0.9991959139624201,
                0.9997388096915893,
                0.9990889488829529,
                0.9999599363030525,
                0.9999687980737538,
                0.9988304897311369,
                0.9998766053957809,
                0.9999038976194708,
                0.9998766054251449,
                0.9997388097531315
            ],
            [
                0.9999756997476854,
                0.9999339478395824,
                0.9998766054103759,
                0.9999546021476081,
                0.9992903295329131,
                0.9999599363030631,
                0.9997965730749018,
                0.9999724643187587,
                0.999933947831754,
                0.9999852610215463
            ],
            [
                0.9999756997621777,
                0.9999546021151652,
                0.9999921107374145,
                0.9999646437408665,
                0.9999852610215443,
                0.999989870011436,
                0.9999910603058283,
                0.9999485577924977,
                0.9999921107336527,
                0.999993855823201
            ],
            [
                0.9997388096593592,
                0.9997965729786599,
                0.9997388095988812,
                0.00020342704588447529,
                0.999088948654813,
                0.9997040427609136,
                0.9992903294503964,
                0.9988304900085557,
                0.9975273762621949,
                0.9975273766934785
            ],
            [
                0.9995694429604353,
                0.9770226309680954,
                0.0035936026080982987,
                0.9840936083464987,
                0.9999810748540193,
                0.9980732657770234,
                0.9999151889687554,
                0.9324533097989076,
                0.99979657309939,
                0.999769493174587
            ],
            [
                0.9999646437535161,
                0.9999151889485088,
                0.9999938558239332,
                0.9999957771660521,
                0.9999785550515924,
                0.9999785550439207,
                0.9999599363173673,
                0.9998601779592263,
                0.9999869928715365,
                0.9999724643121848
            ],
            [
                0.9999339478317002,
                0.9997694932026393,
                0.9999646437619301,
                0.9999251537727649,
                0.9996200155611946,
                0.9997040430069108,
                0.9988304898682143,
                0.9998415637833087,
                0.9994472214579109,
                0.9999038975506579
            ],
            [
                0.9999869928684356,
                0.9999810748449967,
                0.9999724643154838,
                0.9999785550439207,
                0.999948557780244,
                0.9999687980886347,
                0.9999832985841317,
                0.9998911031036888,
                0.9999785550541431,
                0.9999785550490375
            ],
            [
                1.6701421838799146e-05,
                2.4300232011058275e-05,
                9.422442569208767e-07,
                4.785092782597101e-06,
                5.422218323349895e-06,
                6.144177531660828e-06,
                2.9023130229209922e-06,
                1.76034363298589e-06,
                5.829127247557873e-05,
                4.7850933535006355e-06
            ],
            [
                0.9999251537727589,
                0.9999898700078143,
                0.9999339478631961,
                0.999993037740431,
                0.9999938558246663,
                0.9999756997679626,
                0.999975699765066,
                0.9999910603026316,
                0.9953904284017823,
                0.9999898700126428
            ],
            [
                1.5534981248712412e-06,
                4.4508489275469177e-07,
                4.2228324372555256e-06,
                8.93969523617066e-06,
                2.90231163910023e-06,
                1.3007130014376633e-05,
                3.7266388397721442e-06,
                8.939694172420599e-06,
                8.939698425502796e-06,
                1.1478768123823146e-05
            ],
            [
                0.9999038975622536,
                0.9999485577863421,
                0.999954602125951,
                0.9997965730756625,
                0.9999810748495063,
                0.9999599363125902,
                0.9998601779094406,
                0.9998204720123953,
                0.9995694429115358,
                0.9999339478631961
            ],
            [
                0.999991060304763,
                0.9999810748585295,
                0.9999852610233009,
                0.9999869928746379,
                0.9999869928715358,
                0.9999810748562746,
                0.999985261016272,
                0.9999921107355338,
                0.9999885212318762,
                0.9999967112497586
            ],
            [
                0.9999832985821387,
                0.9999898700078128,
                0.9999756997650704,
                0.9999687980737482,
                0.9999869928684358,
                0.9999970976890529,
                0.9999869928730869,
                0.9999957771650453,
                0.9999869928684365,
                0.9999724643154765
            ],
            [
                1.6701421843356024e-05,
                7.889263526093993e-06,
                5.422220908634683e-06,
                2.7535704222728874e-05,
                2.144495352474637e-05,
                6.144175334094145e-06,
                6.14417533430649e-06,
                0.00013982205729505754,
                6.144172404302622e-06,
                5.422218969463855e-06
            ],
            [
                0.9999832985801475,
                0.9999687980737526,
                0.999860177909178,
                0.9999756997679566,
                0.9999417087553055,
                0.9999417087414281,
                0.9995121427626349,
                0.9995694430125411,
                0.9998204719696394,
                0.9997694932849822
            ],
            [
                2.7535697663897248e-05,
                0.9999646437535196,
                0.0003799845739392824,
                0.9999898700090206,
                0.994088931707431,
                0.9999832985741752,
                0.9999599362887301,
                0.9999646437535178,
                0.9999687980849118,
                0.999933947831719
            ],
            [
                8.939694172420599e-06,
                1.4738983726184394e-05,
                2.1444953502863275e-05,
                5.422220908634683e-06,
                3.2887490652810324e-06,
                4.785096205973894e-06,
                0.9980732651786207,
                1.553497939554384e-06,
                6.144175334094145e-06,
                3.7266383954560706e-06
            ],
            [
                0.0021827164428097107,
                0.9796676456555891,
                0.000295957204823461,
                0.004609571767009487,
                0.004609572151598345,
                0.9947798746256336,
                0.9995121427649623,
                0.0007096705136083733,
                0.9840936084922821,
                0.9990889486535944
            ],
            [
                0.9999898700053976,
                0.9999852610180304,
                0.9999417087553522,
                0.9999785550490361,
                0.9999885212318756,
                0.9999898700090211,
                0.9999832985761679,
                0.9999898700114365,
                0.9999832985781566,
                0.9999785550413666
            ],
            [
                0.9993736658201027,
                0.999903897562074,
                0.9999832985821377,
                0.9999852610110015,
                0.9999151889687703,
                0.9999852610162746,
                0.9999910603026306,
                0.999975699756372,
                0.9999251537995099,
                0.9999687980849168
            ],
            [
                0.9999980052705163,
                0.9999930377420906,
                0.999985261021543,
                0.9999957771645419,
                0.9999930377445804,
                0.9999810748562726,
                0.9999687980737588,
                0.999997097688707,
                0.9999938558261309,
                0.9999921107364742
            ],
            [
                2.561282515988704e-06,
                2.5612812947240366e-06,
                2.2603242978213447e-06,
                2.9023109470871505e-06,
                1.5534979397592542e-06,
                8.315277302819205e-07,
                2.9023126768680736e-06,
                1.1478766754064213e-05,
                6.1441724044534996e-06,
                1.5534975693869924e-06
            ],
            [
                0.9996200154234739,
                0.9999852610215451,
                0.9999599363221395,
                0.9999546021422047,
                0.9992903296159249,
                0.9998204720766716,
                0.9998415637265112,
                0.9859363749712715,
                0.9990889487604059,
                0.9999885212346113
            ],
            [
                0.999903897573676,
                0.9999151889384451,
                0.9971990728703003,
                0.9999251537727355,
                0.9999151889586775,
                0.9999724643121858,
                4.5397879464864824e-05,
                0.9999251537460674,
                0.9980732653051069,
                0.9964063966257368
            ],
            [
                0.9999599363173874,
                0.9999832985801516,
                0.9999546021097171,
                0.9999756997534802,
                0.9995121427647069,
                0.9999724642957807,
                0.9998911031039217,
                0.9997965730023874,
                0.9999646437577411,
                0.002800926742762298
            ],
            [
                6.962257907348116e-06,
                1.0129992187105678e-05,
                2.9023133686835932e-06,
                6.605212082564807e-05,
                1.0129987356541108e-05,
                1.9947299590520376e-06,
                1.3007131564643372e-05,
                2.5612822097802966e-06,
                2.5612825155181522e-06,
                5.422221555192784e-06
            ],
            [
                0.9999952149032237,
                0.9999832985821381,
                0.9998415637077078,
                0.9999832985701967,
                0.9999952149032236,
                0.9999910603015651,
                0.9999852610145177,
                0.9999938558246659,
                0.9999756997650636,
                0.9999930377445807
            ],
            [
                0.00026119024537149326,
                0.001325022622713906,
                0.985936370464435,
                0.0015011819134989376,
                0.8933094117351309,
                3.7266379513434106e-06,
                0.8175744828610095,
                4.53978848619353e-05,
                0.00020342704504097475,
                0.9046505376715775
            ],
            [
                0.9999974387177893,
                0.9999910603004993,
                0.9999810748585323,
                0.9999869928668857,
                0.9999546021367668,
                0.9999832985841324,
                0.9999898700078145,
                0.9999930377404312,
                0.9999599363125918,
                0.9999687980737526
            ],
            [
                0.9999852610197869,
                0.9999938558232014,
                0.9999945777810308,
                0.9999967112501504,
                0.9999952149072167,
                0.9999756997534859,
                0.9999785550439274,
                0.9999038975507685,
                0.999988521231877,
                0.9999898700090215
            ],
            [
                0.9999756997621702,
                0.9999930377420909,
                0.999993037741261,
                0.9999785550515996,
                0.999993855826131,
                0.9999869928653361,
                0.9999724643089085,
                0.999988521229138,
                0.9999852610197898,
                0.9999810748472484
            ],
            [
                1.1478769490053603e-05,
                6.144173869072478e-06,
                1.1478769492141554e-05,
                5.422217677028889e-06,
                6.144176066521288e-06,
                3.7266388397721442e-06,
                2.2603242976733308e-06,
                3.28875024125221e-06,
                0.9968273171148063,
                3.535624221521904e-05
            ],
            [
                4.539789024909747e-05,
                1.670142781636389e-05,
                2.260325375664839e-06,
                3.535625913810743e-05,
                1.1478770860982112e-05,
                5.422217030121119e-06,
                7.889260704308795e-06,
                2.902311984915459e-06,
                8.939700565102295e-06,
                2.5612831264302397e-06
            ],
            [
                0.9999599363078182,
                0.9999756997476916,
                0.9999687980737603,
                0.9999646437492907,
                0.9999930377420908,
                0.9999938558268634,
                0.9999599363078501,
                0.9999957771660521,
                0.9999832985761654,
                0.9999869928746383
            ],
            [
                9.422450431912e-07,
                1.8925152752138513e-05,
                1.5534984950317006e-06,
                4.785093353626844e-06,
                6.144172402106516e-06,
                1.9947290080343035e-06,
                1.6701417861949427e-05,
                3.2887494564079503e-06,
                3.726640616423495e-06,
                5.422221554670048e-06
            ],
            [
                0.9999967112517189,
                0.9999852610215446,
                0.9999885212346126,
                0.999989870005398,
                0.9999930377445805,
                0.9999921107383554,
                0.9999962733607162,
                0.9999957771680659,
                0.9999952149049349,
                0.999992110737415
            ],
            [
                0.9999938558268634,
                0.9999910603004999,
                0.9999898700090211,
                0.9999945777803838,
                0.9999785550413712,
                0.9999967112501505,
                0.9999485577863421,
                0.9999417087136211,
                0.999954602115151,
                0.9999756997534802
            ],
            [
                0.9890130581081643,
                0.9997694933120754,
                0.9890130599095177,
                0.914900959053549,
                0.9770226325988913,
                0.9980732650313148,
                0.9706877716335485,
                0.9924227584940242,
                0.9959298627616644,
                0.996827317320249
            ],
            [
                3.288750633488963e-06,
                1.2098655392662613e-06,
                2.561282210590951e-06,
                2.260324567268294e-06,
                4.22283344433731e-06,
                3.7266410609940346e-06,
                3.726639727994339e-06,
                4.222833947498071e-06,
                5.422221555069497e-06,
                6.144174601309452e-06
            ],
            [
                4.785094494576774e-06,
                0.00010889686969505426,
                1.0129993393540266e-05,
                7.338212429537553e-07,
                3.726638839833152e-06,
                0.9991959139525992,
                3.2887486729876365e-06,
                5.422221555133606e-06,
                1.4738980213341866e-05,
                2.4300234934056724e-05
            ],
            [
                1.1478765388523107e-05,
                6.144173869379821e-06,
                1.6701421843720577e-05,
                0.9902915254525773,
                6.962256249517824e-06,
                1.0677029972993568e-06,
                7.88925976359915e-06,
                7.889260704308795e-06,
                4.7850967763512445e-06,
                1.6701423834591316e-05
            ],
            [
                0.9999898700126433,
                0.9999687980812002,
                0.9999832985841328,
                0.9999957771645422,
                0.9999869928653335,
                0.9964063974519277,
                0.9999945777829696,
                0.9999898700114356,
                0.9840936099209598,
                0.9980732650709397
            ],
            [
                0.999996273358939,
                0.9999952149066464,
                0.9999756997679652,
                0.9999982396559474,
                0.999992110740236,
                0.9999921107374156,
                0.9999980052693274,
                0.9999945777816768,
                0.9999852610127603,
                0.9999869928761884
            ],
            [
                0.9999970976883609,
                0.9999930377412605,
                0.999933947863251,
                0.9999898700114368,
                0.9999921107364745,
                0.9999945777829696,
                0.99997246431876,
                0.9999921107392953,
                0.9999756997592727,
                0.999992110733653
            ],
            [
                0.999925153737126,
                0.9999687980812043,
                0.9996646498901787,
                0.9999930377420904,
                0.9999251537727295,
                0.9999599363078321,
                0.9999898700041916,
                0.9999724643089025,
                0.9999724643187476,
                0.999989870006605
            ],
            [
                8.93969417214416e-06,
                3.120190391853445e-05,
                4.0063687394553603e-05,
                3.535623804623613e-05,
                3.5356267564055315e-05,
                6.6052120892446e-05,
                2.9023112931213857e-06,
                2.2603245671490605e-06,
                0.9999687980997913,
                8.939698435226916e-06
            ],
            [
                7.889261643899223e-06,
                2.2603248367358324e-06,
                2.561282821352716e-06,
                0.989013055841292,
                8.93970056350871e-06,
                2.2603251061849014e-06,
                3.2887486732000038e-06,
                3.2887482812745586e-06,
                2.144494585197151e-05,
                1.892515500388139e-05
            ],
            [
                0.9999599363173874,
                0.9999832985701949,
                0.9998766053957163,
                0.9999599362982599,
                0.999891103038858,
                0.9999869928684362,
                0.9998601778761782,
                0.9999485577679615,
                0.9999251537549356,
                0.9999852610127582
            ],
            [
                0.9796676488834571,
                0.9999599363221815,
                0.001926734603330513,
                0.9998911031296458,
                0.0011695102148753219,
                0.9740426426138259,
                0.9990889489804394,
                0.9859363726210016,
                0.9999687980997938,
                0.9840936094252961
            ],
            [
                0.9999599363078219,
                0.9999599363173831,
                0.9996646499697348,
                0.9999251537995654,
                0.9999832985841296,
                0.9999251537371533,
                0.9999485577802613,
                0.9990889486859663,
                0.9999339478632404,
                0.9998415637268294
            ],
            [
                2.1444940739364273e-05,
                1.5534975693347152e-06,
                2.5612812945889277e-06,
                5.422217676654099e-06,
                1.670141785596473e-05,
                3.535625488616215e-05,
                6.144176066051891e-06,
                1.0677024881887838e-06,
                2.1444953515423628e-05,
                4.006368263612517e-05
            ],
            [
                0.9999898700053991,
                0.999975699767967,
                0.9999810748495079,
                0.9999967112505427,
                0.9999646437535039,
                0.9999962733602716,
                0.9999832985741784,
                0.9999852610233009,
                0.9999417087553203,
                0.9999910603026309
            ],
            [
                9.422445939032799e-07,
                3.7266388397382506e-06,
                4.785092783149804e-06,
                1.3709570434122812e-06,
                2.902311293147782e-06,
                8.315278294072958e-07,
                3.05902190458764e-07,
                1.2098653950656417e-06,
                9.422447062270609e-07,
                4.785093924047376e-06
            ],
            [
                3.7266379512112265e-06,
                4.222833947820683e-06,
                7.889263525405172e-06,
                3.7266379509129646e-06,
                4.006371129120346e-05,
                4.222834451065997e-06,
                4.0063706476368846e-05,
                3.1201900203407254e-05,
                1.7603425837494853e-06,
                1.012999580884213e-05
            ],
            [
                1.3007123812057577e-05,
                1.4738981960339432e-05,
                1.8925143722381014e-05,
                1.1478772229551402e-05,
                1.994729245878497e-06,
                8.93969843377968e-06,
                1.8925150496161756e-05,
                5.422217673754406e-06,
                1.3007131564383116e-05,
                4.785094494463623e-06
            ],
            [
                0.9999980052700408,
                0.9999898700041912,
                0.9999832985701949,
                0.9999898700114366,
                0.9999898700066062,
                0.9999962733593832,
                0.9999910602994342,
                0.9999952149043646,
                0.9999967112493665,
                0.9999974387184
            ],
            [
                0.985936370102855,
                0.08509905254807777,
                0.998073265590988,
                0.9982992775334194,
                0.9992903295373299,
                0.999195914241241,
                0.04742587688008271,
                0.9994472214525726,
                0.9820137864518784,
                0.9982992778660701
            ],
            [
                4.78509506499309e-06,
                2.2603248366762157e-06,
                2.2603240283888175e-06,
                2.5612812947240366e-06,
                8.9396941718352e-06,
                0.0003799844839974048,
                2.753570094621784e-05,
                2.260325375677174e-06,
                3.4663253846718004e-07,
                1.760344052693435e-06
            ],
            [
                0.9999945777790915,
                0.999997097688015,
                0.9999930377462405,
                0.9999930377420908,
                0.999993037742921,
                0.999997097686631,
                0.9999952149037943,
                0.9999957771675625,
                0.999992110737415,
                0.9999898700041912
            ],
            [
                0.9999967112501507,
                0.9999898700053982,
                0.9999546021313669,
                0.9999910603068931,
                0.99997855505926,
                0.9999885212318754,
                0.999903897539223,
                0.9999885212332428,
                0.9999938558239333,
                0.9998766053662735
            ],
            [
                1.6701421834728333e-05,
                3.535624225316214e-05,
                1.3007128463352975e-05,
                6.9622579096593295e-06,
                2.4300232042706045e-05,
                1.3709567165461505e-06,
                1.3007125363057018e-05,
                3.120190020862863e-05,
                0.0002034268988431508,
                3.1201918809808464e-05
            ],
            [
                0.9999898700066064,
                0.9999898700114366,
                0.9999910603068937,
                0.9999938558239332,
                0.9999938558261309,
                0.999997438716568,
                0.9999910603058291,
                0.9999952149066466,
                0.9999852610215443,
                0.9999938558253983
            ],
            [
                0.9999938558239335,
                0.9999785550541436,
                0.9999485577863724,
                0.9999945777810305,
                0.9999417087553242,
                0.9999339478632668,
                0.9999898700114371,
                0.9999810748517617,
                0.9999885212332446,
                0.9999930377445811
            ],
            [
                0.99937366597229,
                0.99956944286072,
                0.9740426414364677,
                0.9990889486551838,
                0.99986017797589,
                0.9999546021097102,
                0.9998766054251449,
                0.9947798735278065,
                0.9995121428229208,
                0.9995121427685102
            ],
            [
                0.9999898700114365,
                0.9999852610180312,
                0.9999930377420904,
                0.9999810748427385,
                0.9999852610145155,
                0.9999885212346126,
                0.9999910603015651,
                0.9964063967933093,
                0.9999852610145165,
                0.9999810748517634
            ],
            [
                0.9890130593427998,
                0.9999785550592636,
                0.999569442858503,
                0.9579122725349515,
                0.9999724643154754,
                0.9999687980923636,
                0.9998766054694789,
                0.9999339478710788,
                0.9999810748562746,
                0.9988304899927809
            ],
            [
                6.144175334094145e-06,
                1.0129992186589747e-05,
                4.0063696957321844e-05,
                6.9622579095833456e-06,
                5.829129330398681e-05,
                0.970687769566631,
                7.338208930443633e-07,
                0.6791786926816161,
                0.9875683519709982,
                9.422442569290178e-07
            ],
            [
                1.7603432132912532e-06,
                4.222832436955956e-06,
                1.4738976698006875e-05,
                4.785095064601411e-06,
                2.561282210701601e-06,
                0.9859363753586786,
                1.3709578605617394e-06,
                9.422447062202052e-07,
                0.9990889487696777,
                1.9947306726213275e-06
            ],
            [
                0.999994577780384,
                0.9999724643187485,
                0.9999485577618527,
                0.9999938558239333,
                0.9999038976194506,
                0.9999724642990586,
                0.9999599363030484,
                0.9999687980849105,
                0.9997965730027248,
                0.9997040430069108
            ],
            [
                0.9465966741548681,
                0.8519528076067262,
                4.222834954607099e-06,
                1.0129988562661878e-05,
                1.3007128463873485e-05,
                4.450849458125204e-07,
                7.88925976359915e-06,
                4.785095064819011e-06,
                0.9991959142491913,
                1.3007125360809367e-05
            ],
            [
                6.1441738691562974e-06,
                1.0129990975567187e-05,
                1.3007133114886634e-05,
                1.0677028698868336e-06,
                3.726640616630245e-06,
                0.00015843623483772053,
                8.93969417150998e-06,
                1.4738980209347228e-05,
                2.1444948400318094e-05,
                1.9947290080343035e-06
            ],
            [
                0.999964643732436,
                0.9999852610162724,
                0.9999687980997938,
                0.9999810748585282,
                0.9999485577679911,
                0.9999485577863724,
                0.9999885212346117,
                0.9999910603047618,
                0.9999339478553727,
                0.9999869928730863
            ],
            [
                0.8175744761936437,
                8.481102090440075e-05,
                1.3007126909537681e-05,
                0.798186775339273,
                1.1478772221429265e-05,
                3.5356259104666025e-05,
                0.9988304900092357,
                0.982013788327142,
                4.785095633999427e-06,
                5.144221974590828e-05
            ],
            [
                0.9995121427634297,
                0.9998415637266149,
                0.9999546021151215,
                0.999769493367164,
                0.00669285006366846,
                0.9999810748449924,
                0.9998766054398044,
                0.9999724643023399,
                0.9999485577924947,
                0.9999785550515884
            ],
            [
                1.300713311517055e-05,
                3.288749457409966e-06,
                2.9023112931213857e-06,
                3.5356250701614645e-05,
                1.0129987355564522e-05,
                2.9023109469842055e-06,
                4.222831934202483e-06,
                5.422220908634683e-06,
                3.1201907643310305e-05,
                1.1478770861441461e-05
            ],
            [
                0.999972464315473,
                0.9999756997592719,
                0.9999869928715358,
                0.9999687980811974,
                0.9999546021205704,
                0.9998204719911963,
                0.9999339478789965,
                0.9998911030518871,
                0.9999038976195554,
                0.99984156372691
            ],
            [
                2.5612812947077304e-06,
                8.939697368500698e-06,
                1.0129994602222992e-05,
                5.422218322664422e-06,
                3.726639284050988e-06,
                4.222831934202483e-06,
                1.0129989771288745e-05,
                1.8925152752138513e-05,
                9.610239197310875e-05,
                0.9241418137109955
            ],
            [
                4.222834451292594e-06,
                0.00037998452845982005,
                5.829127245988703e-05,
                1.2098653950551882e-06,
                0.9989677691774027,
                0.9986749776906209,
                0.9820137906629961,
                0.9993736658264423,
                0.0004878571186099403,
                0.9924227603534225
            ],
            [
                0.9999869928653341,
                0.9999687980960708,
                0.9998766053663705,
                0.99994855779862,
                0.9999785550490333,
                0.9999038975965026,
                0.9999869928668839,
                0.9999756997621702,
                0.9999810748585306,
                0.9999485577863506
            ],
            [
                0.999978555054146,
                0.9998601779260005,
                0.0010322310486391229,
                0.9859363724660388,
                0.0015011825617599949,
                0.9579122744874229,
                0.9999930377454105,
                0.9465966692585823,
                0.008577485247394392,
                0.9999898700053983
            ],
            [
                0.9999852610110026,
                0.9840936100667432,
                0.9820137892812232,
                0.9999885212305081,
                0.9999417087484541,
                0.9991959140578235,
                0.9999724643056297,
                0.9999687980997993,
                0.001169510518268338,
                0.9999756997650627
            ],
            [
                0.9999869928684358,
                0.9999930377445803,
                0.9999646437450779,
                0.9999938558261311,
                0.9999832985801479,
                0.9999898700102298,
                0.999983298578157,
                0.9999756997592754,
                0.9999930377412611,
                0.9999921107402361
            ],
            [
                8.93970056668775e-06,
                0.9924227595585384,
                0.9999869928668853,
                1.300712691403299e-05,
                0.9999646437450858,
                0.00037998448377630877,
                0.9820137914525806,
                0.9999038975393251,
                0.003172682201857157,
                0.9999810748449929
            ],
            [
                0.9998415637835808,
                0.993307149629853,
                0.00020342690014243665,
                0.9984988178818146,
                0.999964643732444,
                0.00023050663262128712,
                0.9820137875046581,
                0.999972464299064,
                0.999620015425917,
                0.9986749773534086
            ],
            [
                0.9999546021422047,
                0.9993736659688651,
                0.9999885212332438,
                0.9997694932571948,
                0.9999832985821384,
                0.9999898700066069,
                0.9999038975392522,
                0.9999945777803838,
                0.9999885212332442,
                0.999738809721874
            ],
            [
                0.9999910603047624,
                0.9996646500101373,
                0.9999869928668857,
                0.9999832985781578,
                0.00020342694862148994,
                0.99995993630783,
                0.9999756997621677,
                0.9999339478239425,
                1.6701419847381817e-05,
                0.9999785550541442
            ],
            [
                0.9999151889586936,
                0.9980732655518109,
                0.9998204719909689,
                0.9940889307798303,
                0.0021827162019400687,
                0.9999339478395777,
                0.9971990728403858,
                0.9992903294516348,
                0.0019267350770379244,
                0.9669140188702279
            ],
            [
                2.7535681242383173e-05,
                5.422218323093458e-06,
                6.144172404218801e-06,
                1.1478772230198667e-05,
                6.144177531532303e-06,
                1.1478764017428212e-05,
                3.2887502407138142e-06,
                2.1444948408977715e-05,
                2.2603248367656408e-06,
                5.422218322851817e-06
            ],
            [
                0.9999898700090213,
                0.9999546021367736,
                0.9999952149037942,
                0.9999756997592727,
                0.9999921107392962,
                0.999995214904935,
                0.9999785550515963,
                0.9999339478711182,
                0.9999930377454103,
                0.9999832985701924
            ],
            [
                4.222832437443716e-06,
                1.473898371395919e-05,
                1.4738980205164923e-05,
                6.144173136455602e-06,
                5.422217676866151e-06,
                5.422218321441422e-06,
                4.22283294098842e-06,
                6.605216829064421e-05,
                4.785096205830278e-06,
                1.3007130013856124e-05
            ],
            [
                1.4738980200124708e-05,
                1.8925157255280296e-05,
                1.0129990979215566e-05,
                4.785095065093186e-06,
                8.9396941702904e-06,
                1.6701419850845044e-05,
                1.3007134662432895e-05,
                NaN,
                8.939700565834043e-06,
                6.962257909412379e-06
            ],
            [
                0.9999599362982653,
                0.0007096704541666946,
                0.9999832985741735,
                0.9997694932847676,
                0.9820137932949442,
                0.9890130587760818,
                0.9993736658965789,
                0.8807970873650401,
                0.9986749778523717,
                0.9902915231066446
            ],
            [
                0.9999962733611601,
                0.9999832985841289,
                0.9999724643121931,
                0.9999945777823231,
                0.9999251537549547,
                0.9999785550515903,
                0.9999832985721847,
                0.999988521233243,
                0.9999832985821404,
                0.9999952149060758
            ],
            [
                0.9999832985761674,
                0.9999810748427396,
                0.9999687980737588,
                0.9998204720124606,
                0.99996879809608,
                0.9998415637079199,
                0.9999832985821384,
                0.9999785550567036,
                0.9999687980886287,
                0.9999885212346137
            ],
            [
                6.962257909007124e-06,
                1.6701419846834993e-05,
                0.0001233945304691113,
                7.889266347248781e-06,
                1.0129988563914856e-05,
                3.7266388382164344e-06,
                7.88926634687567e-06,
                5.422221554847581e-06,
                2.5612822106654943e-06,
                1.892514597494899e-05
            ],
            [
                0.999996273358939,
                0.9999910603068933,
                0.9999869928684348,
                0.9999962733616045,
                0.999993037742921,
                0.9999898700126439,
                0.9999832985801506,
                0.9999810748472538,
                0.9999810748585323,
                0.9999898700090223
            ],
            [
                0.9999898700041905,
                0.9999910603015658,
                0.9999930377420907,
                0.9999938558253983,
                0.9999869928746392,
                0.999991060303697,
                0.9999687980737629,
                0.9999756997650667,
                0.9999869928668843,
                0.9998601778592275
            ],
            [
                0.9999869928761888,
                0.9999921107374148,
                0.9999785550541467,
                0.9999646437324458,
                0.9999646437408781,
                0.9999898700126431,
                0.9999832985741757,
                0.9999910602994336,
                0.9999724643089064,
                0.9999546021313694
            ],
            [
                0.9999546021367759,
                0.9999151889485854,
                0.999972464302337,
                0.9998415637643255,
                0.9998601779762887,
                0.9997040430073586,
                0.999891103064815,
                0.9998204719483776,
                0.9999251537906008,
                0.9999756997505795
            ],
            [
                0.9046505428129514,
                0.9998766054253263,
                0.9999485577802407,
                0.00017952798717633654,
                0.0004305570340660379,
                0.9999687980737629,
                0.998830489727057,
                0.0013250222965931733,
                0.00033535026836770896,
                0.9998766054398349
            ],
            [
                5.422218322763051e-06,
                1.6701427813417103e-05,
                3.2887478889034873e-06,
                2.430023783309869e-05,
                4.539785781515392e-05,
                2.144495351862222e-05,
                1.473898724181597e-05,
                6.60521524840326e-05,
                1.1478768124324254e-05,
                7.889263523238269e-06
            ],
            [
                0.0004305571378645679,
                0.9933071506483522,
                0.9995121429372764,
                0.998967769161797,
                0.9626731126558705,
                0.9959298622086002,
                0.000626334024977363,
                0.977022629295484,
                0.9975273763586737,
                0.0011695102709030714
            ],
            [
                4.785093352482268e-06,
                5.144220136765162e-05,
                3.1201900203407254e-05,
                5.422218969601935e-06,
                2.4300252304268445e-05,
                8.939693106020111e-06,
                1.892514598427789e-05,
                5.422217676486429e-06,
                2.4300246520590875e-05,
                1.7603427935518875e-06
            ],
            [
                0.9990889487664457,
                0.9998601779761158,
                0.9996646497303736,
                0.999373665822981,
                0.9995121427657854,
                0.9997040430068247,
                0.998967769054118,
                0.9996646497301492,
                0.9998204719697386,
                0.9997388096283755
            ],
            [
                0.9999945777829697,
                0.9999852610145177,
                0.9998766053956554,
                0.9999810748540193,
                0.9999485578047674,
                0.9999485577925467,
                0.9986749773661946,
                0.9999921107383561,
                0.9999930377404315,
                0.9999756997679662
            ],
            [
                NaN,
                6.605216032919004e-05,
                3.2887502413389517e-06,
                3.535625492063251e-05,
                1.8925141468298646e-05,
                1.892515726357648e-05,
                5.829125150043951e-05,
                0.00012339454522734274,
                0.00020342692402384427,
                1.8925150492616083e-05
            ],
            [
                0.9997040428298269,
                0.998674977710339,
                0.9953904283163181,
                0.992422758392475,
                0.9992903294546068,
                0.9995694430172133,
                0.00012339463354695633,
                0.02931223011538168,
                0.9997040429359567,
                0.9991959141464924
            ],
            [
                0.9999599362935078,
                0.9999756997592761,
                0.9999898700090204,
                0.9980732649372898,
                0.9998601779092554,
                0.9999898700114359,
                0.9964063966324064,
                0.9999885212318759,
                0.9999885212277709,
                0.9998601779095707
            ],
            [
                0.9999921107374145,
                0.9999832985701931,
                0.0024726234931622595,
                0.9971990729457367,
                0.9998601779092554,
                0.9991959140476753,
                0.9999869928746379,
                0.999620015514068,
                0.9999546021205328,
                0.9999599363030446
            ],
            [
                4.539786862316288e-05,
                1.3007131563176482e-05,
                1.6701427813872793e-05,
                4.2228324375512536e-06,
                1.3007130012341915e-05,
                9.610243784914168e-05,
                7.484620920327215e-05,
                1.8925143719695944e-05,
                4.222834451012227e-06,
                2.753568780461672e-05
            ],
            [
                0.9999485578047399,
                0.9998766054398044,
                0.9999852610145143,
                0.9999756997505854,
                0.9988304898668545,
                0.9999485577740787,
                0.9999038975964738,
                0.0010322310749286427,
                0.9999687980960674,
                0.9999756997534786
            ],
            [
                0.9840936098334897,
                0.9953904271881907,
                0.999373665746104,
                0.9993736659703589,
                0.9997694932570371,
                0.9990889489987181,
                0.9796676458410987,
                0.9998601779759103,
                0.9241418272911436,
                0.9669140204195271
            ],
            [
                7.889265406681968e-06,
                2.4300232040584407e-05,
                3.72664017246987e-06,
                8.481107141626557e-05,
                1.067702742726318e-06,
                2.9023130230133794e-06,
                1.0677033791291683e-06,
                7.889266345397582e-06,
                2.7535684497254823e-05,
                1.8925157261545463e-05
            ],
            [
                0.9999546021097423,
                0.9998911031297076,
                0.9999339478710831,
                0.999978555054146,
                0.9999646437619418,
                0.9999869928761891,
                0.9999852610127603,
                0.9999810748562732,
                0.9999810748472509,
                0.9997965730752333
            ],
            [
                0.9999952149043645,
                0.999903897619401,
                0.9999785550439215,
                0.9999546021259533,
                0.9998415638021374,
                0.9999898700114356,
                0.999985261016272,
                0.9999962733620487,
                0.9999832985761674,
                0.999992110740236
            ],
            [
                0.998498817551315,
                0.9997965730994314,
                0.9996200154244688,
                0.9999546021476109,
                0.9999038975965836,
                0.9999646437535052,
                0.9999485577802046,
                0.9997388096591616,
                0.9902915247362619,
                0.9997965730992242
            ],
            [
                1.3007131565376817e-05,
                2.4300232039788792e-05,
                4.539786319570692e-05,
                7.889263525405172e-06,
                4.785095635413826e-06,
                1.9947299591826594e-06,
                3.288747889178668e-06,
                1.1478765388523107e-05,
                6.1441767989541075e-06,
                4.78509449410676e-06
            ],
            [
                2.7535700938304286e-05,
                1.3007123810638006e-05,
                1.670141985245514e-05,
                1.3007131559390956e-05,
                2.430024939585418e-05,
                9.610238048784824e-05,
                3.288750240486491e-06,
                2.561283431916622e-06,
                6.962259567914269e-06,
                2.753568781222975e-05
            ]
        ]
    },
    {
        "q_id": "10610_mmlu_computer science",
        "cot_ids": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            24,
            25,
            26,
            30,
            31,
            32,
            33,
            34,
            36,
            37,
            38,
            39,
            40,
            42,
            43,
            44,
            45,
            47,
            49,
            50,
            51,
            52,
            53,
            55,
            56,
            59,
            62,
            64,
            65,
            66,
            67,
            68,
            69,
            71,
            72,
            74,
            75,
            76,
            78,
            79,
            80,
            82,
            83,
            85,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            100,
            102,
            103,
            105,
            106,
            108,
            109,
            111,
            115,
            117,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.473898196210887e-05,
                NaN,
                0.9999852610180556,
                NaN,
                5.4222215516717245e-06,
                0.9998601778785016,
                0.06008665311947338,
                6.962257078249291e-06,
                NaN,
                0.025957354325043227
            ],
            [
                NaN,
                0.9940889313790768,
                1.4738988993532872e-05,
                NaN,
                NaN,
                NaN,
                5.422220903836379e-06,
                1.1478766745733287e-05,
                NaN,
                4.006370163879859e-05
            ],
            [
                4.006370151724721e-05,
                NaN,
                NaN,
                0.0007096705058479317,
                1.892515046555882e-05,
                NaN,
                6.14417240005011e-06,
                3.120191480648175e-05,
                NaN,
                NaN
            ],
            [
                4.2228344468028986e-06,
                6.962257907158154e-06,
                1.2098652507847127e-06,
                NaN,
                2.9023112926779284e-06,
                1.7603430027315182e-06,
                NaN,
                1.8925148208584036e-05,
                3.1201918732055224e-05,
                NaN
            ],
            [
                NaN,
                1.892515048042999e-05,
                8.939693100361262e-06,
                NaN,
                NaN,
                8.939697368110433e-06,
                NaN,
                1.2098659718539182e-06,
                1.2098661161789477e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                0.025957360070550783,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.4738981936746935e-05
            ],
            [
                4.5397890197901266e-05,
                5.1442219267214194e-05,
                0.00037998456614564543,
                NaN,
                0.0004878571597087693,
                8.481102095191198e-05,
                0.00023050668297804603,
                4.222832935269724e-06,
                0.00015843628860387336,
                NaN
            ],
            [
                NaN,
                NaN,
                7.88926634644516e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                3.535626334156318e-05,
                NaN,
                NaN,
                6.605215235043667e-05,
                5.829127939986156e-05,
                3.535625482571039e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                1.7603425837494853e-06,
                1.6701423778754335e-05,
                1.7603436328033735e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.7981867777396212
            ],
            [
                0.03732688332823795,
                8.939695206982048e-06,
                NaN,
                NaN,
                NaN,
                0.06008665185713089,
                NaN,
                6.9622570777680525e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.6701419843189485e-05,
                0.00015843621574156602,
                4.7850967757637256e-06,
                NaN
            ],
            [
                5.8291272369553704e-05,
                0.0001584362163363038,
                1.0129987351289655e-05,
                NaN,
                5.144220129803702e-05,
                3.5356242078109354e-05,
                1.1478766749992709e-05,
                NaN,
                4.539785227903126e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                0.995929862907009,
                0.9046505248181418,
                0.9999038975394235,
                NaN,
                NaN,
                NaN,
                0.9999599363221864,
                0.9975273770788196
            ],
            [
                5.422219613846953e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                2.9023112864484034e-06,
                2.144495094975719e-05,
                NaN,
                1.7603438422456712e-06,
                NaN
            ],
            [
                3.535626750874837e-05,
                5.422217023808861e-06,
                NaN,
                1.4738976693529666e-05,
                NaN,
                2.7535694333695055e-05,
                NaN,
                1.8925154984741643e-05,
                NaN,
                4.006368736453013e-05
            ],
            [
                NaN,
                1.553497754080718e-06,
                3.5356242174060406e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                2.5612825154622447e-06,
                NaN
            ],
            [
                4.5397868512182765e-05,
                2.144495095654446e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                2.902313368820854e-06,
                NaN,
                1.3007131557025005e-05,
                NaN
            ],
            [
                1.994729483535857e-06,
                NaN,
                1.473898195905257e-05,
                NaN,
                3.7266383937647876e-06,
                5.422218969463855e-06,
                NaN,
                9.422442569097361e-07,
                NaN,
                NaN
            ],
            [
                2.260323489024314e-06,
                6.475947981625199e-07,
                3.7266410604686857e-06,
                3.059021539664509e-07,
                1.067703123967085e-06,
                4.785093923116048e-06,
                8.939699494570733e-06,
                6.144173135181524e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00037998455983335235,
                8.939696302652706e-06,
                NaN,
                7.889262570115216e-06
            ],
            [
                NaN,
                NaN,
                1.1478766754377407e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                1.4738988983988627e-05,
                8.939699490700597e-06,
                NaN,
                NaN,
                NaN,
                9.610242594367453e-05,
                6.605217555576629e-05
            ],
            [
                NaN,
                NaN,
                1.3709575332552666e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478770853110533e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                3.1201900191715896e-05,
                3.120192600340273e-05
            ],
            [
                NaN,
                NaN,
                0.0021827167115695528,
                NaN,
                NaN,
                NaN,
                NaN,
                1.3007123809644304e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                4.7850944943330625e-06,
                5.829125827246795e-05,
                NaN,
                NaN,
                NaN,
                8.939694169591174e-06,
                4.785096199010695e-06,
                NaN,
                NaN
            ],
            [
                6.9622562478334885e-06,
                2.1444940713541454e-05,
                NaN,
                NaN,
                NaN,
                3.535623793189234e-05,
                1.4738980200124708e-05,
                1.1478768118728544e-05,
                NaN,
                NaN
            ],
            [
                1.14787722137456e-05,
                NaN,
                NaN,
                1.4738988977125352e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                3.5356263144902e-05,
                6.144174601208867e-06
            ],
            [
                NaN,
                3.1201915053248934e-05,
                NaN,
                NaN,
                6.962259563697095e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                1.3709567164139816e-06,
                NaN,
                8.939698418868277e-06,
                7.889263519392366e-06,
                1.994730670640228e-06,
                1.1478773593548236e-05,
                NaN,
                NaN,
                4.785095630030404e-06,
                1.4738988922165528e-05
            ],
            [
                NaN,
                6.962257068649839e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                4.222834948972895e-06,
                2.430023780003649e-05,
                6.962256246693712e-06
            ],
            [
                6.144176792153436e-06,
                0.0028009272532596,
                0.03308598089141841,
                0.26894141551050293,
                2.5612828209811664e-06,
                NaN,
                8.939699490700597e-06,
                0.9998415638337876,
                0.020332353750780022,
                0.1066905939456512
            ],
            [
                0.9859363739123588,
                0.9999251537462678,
                0.9998766053813872,
                0.9999852610233165,
                0.8807970764133561,
                0.9990889487179674,
                0.999088949013712,
                2.144494839938192e-05,
                NaN,
                0.9997694933151574
            ],
            [
                6.144176797730321e-06,
                4.7850927830845245e-06,
                NaN,
                1.0129987347678128e-05,
                NaN,
                NaN,
                NaN,
                4.539787919137804e-05,
                NaN,
                1.0677031245050577e-06
            ],
            [
                4.222833947428939e-06,
                NaN,
                7.338208929284016e-07,
                3.288750633192845e-06,
                1.0129987354366822e-05,
                9.422443690565135e-07,
                0.06008665101556926,
                8.315283248343164e-07,
                1.1478773591961393e-05,
                8.315284239208146e-07
            ],
            [
                1.4738983715996728e-05,
                5.715002426140462e-07,
                7.33821330394297e-07,
                NaN,
                NaN,
                NaN,
                4.785093353187292e-06,
                NaN,
                8.939693106020111e-06,
                4.785095062477636e-06
            ],
            [
                3.535623802218407e-05,
                NaN,
                NaN,
                1.6701425818232042e-05,
                NaN,
                4.539786833712484e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                2.753568447401504e-05,
                6.962257901750547e-06,
                8.939697341734979e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                3.2887494529622144e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                8.93969949271697e-06,
                7.484624397524041e-05,
                8.93969523387785e-06,
                NaN,
                2.4300234920177672e-05
            ],
            [
                NaN,
                4.006370635423448e-05,
                1.5534984948988884e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                3.7266397264555753e-06,
                1.0129988550353205e-05
            ],
            [
                NaN,
                NaN,
                2.260325105594902e-06,
                1.473898195567455e-05,
                NaN,
                NaN,
                1.5534975680419157e-06,
                8.93969949923766e-06,
                7.484619954754116e-05,
                1.89251482286188e-05
            ],
            [
                1.3007134652969082e-05,
                NaN,
                NaN,
                NaN,
                6.144175334094145e-06,
                0.0,
                4.222831933564939e-06,
                NaN,
                3.288750241204353e-06,
                NaN
            ],
            [
                6.144173134343315e-06,
                NaN,
                3.2887482807780376e-06,
                1.7603425837062577e-06,
                5.422217671407035e-06,
                NaN,
                NaN,
                1.209865250694483e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                2.260324028045508e-06,
                1.300713311112477e-05,
                9.422442568660309e-07,
                NaN,
                1.3007126906036072e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9982992777957055,
                0.9988304894601092,
                NaN,
                0.9978172836717935,
                0.9999832985781673,
                0.9980732653281654,
                0.00103223081683521,
                0.9999785550413784,
                0.998830489899628,
                0.004609571734960416
            ],
            [
                NaN,
                1.4738988983988627e-05,
                NaN,
                1.0129994601301684e-05,
                7.88926446470893e-06,
                NaN,
                NaN,
                NaN,
                1.3709575335919232e-06,
                NaN
            ],
            [
                NaN,
                2.9023133686835932e-06,
                1.2098656834613962e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                7.338211553937586e-07,
                NaN
            ],
            [
                NaN,
                3.535625067383256e-05,
                2.2603248360985502e-06,
                NaN,
                NaN,
                2.56128159959988e-06,
                1.3007133065414559e-05,
                2.9023109464641985e-06,
                NaN,
                4.539789021507677e-05
            ],
            [
                0.9999485577805591,
                0.9999546021422726,
                4.2228319329965265e-06,
                0.9998766054706494,
                NaN,
                0.7772998611746912,
                0.9999151889690979,
                NaN,
                0.9999038976086555,
                NaN
            ],
            [
                4.222835453155443e-06,
                0.00023050671023562498,
                NaN,
                5.42221701751633e-06,
                7.889266342513156e-06,
                7.8892663440917e-06,
                4.539789024909747e-05,
                1.47389854563191e-05,
                6.96225790357419e-06,
                1.8925154978407626e-05
            ],
            [
                4.006368709723379e-05,
                NaN,
                0.06008664638698042,
                2.7535694302040858e-05,
                5.8291293107628393e-05,
                2.7535681236473055e-05,
                1.7603440525205244e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                1.012998976633211e-05,
                4.539787939583253e-05,
                NaN,
                NaN,
                2.1444940722669156e-05,
                0.00010889694767711821,
                3.120191506210258e-05,
                3.1201922394743764e-05,
                1.8925145926548862e-05,
                0.0001398221386647473
            ],
            [
                1.99472900777306e-06,
                0.4378234991142019,
                5.1442219708855337e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                5.1442195149496606e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.012998733890728e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                3.9278605974010394e-07,
                5.422220261849814e-06,
                1.9947290078746543e-06,
                NaN,
                5.04347648680129e-07,
                NaN
            ],
            [
                1.1478770855323762e-05,
                NaN,
                0.02595735898738123,
                0.00043055702448405826,
                0.20181323186177208,
                0.00017952796480188565,
                NaN,
                0.34864512179822543,
                NaN,
                0.00023050665948314234
            ],
            [
                NaN,
                0.020332351376256386,
                NaN,
                5.4222176709138896e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00013982210684477224
            ],
            [
                NaN,
                7.889261641674914e-06,
                8.93969523127608e-06,
                NaN,
                1.0129988561648438e-05,
                6.1441753317695124e-06,
                NaN,
                0.001700722245208769,
                2.1444945841205498e-05,
                NaN
            ],
            [
                NaN,
                0.00010889694786250314,
                3.7266397252896404e-06,
                8.481102072978154e-05,
                NaN,
                1.892514370627059e-05,
                0.09534945590170514,
                NaN,
                NaN,
                NaN
            ],
            [
                1.7603434229832599e-06,
                1.5534977543124331e-06,
                1.1478764018305152e-05,
                NaN,
                NaN,
                3.535625067177463e-05,
                7.889263524960312e-06,
                6.962254588281262e-06,
                NaN,
                1.147876811188006e-05
            ],
            [
                NaN,
                NaN,
                2.5612822099107473e-06,
                NaN,
                NaN,
                0.009708478719959812,
                6.9622570658130625e-06,
                0.9999756997566327,
                1.670142780235907e-05,
                7.889266333185408e-06
            ],
            [
                1.0677024879557274e-06,
                7.338209803638959e-07,
                NaN,
                NaN,
                4.785093923516432e-06,
                3.2887486729876365e-06,
                NaN,
                7.338208054381903e-07,
                1.5534979392265922e-06,
                NaN
            ],
            [
                6.47595029714418e-07,
                NaN,
                9.61023919304594e-05,
                NaN,
                NaN,
                NaN,
                2.144494320922759e-05,
                NaN,
                3.726639283129085e-06,
                NaN
            ],
            [
                3.2887490644495094e-06,
                0.9998601779438442,
                3.7266410598992754e-06,
                0.8354835391516133,
                NaN,
                0.9989677689662463,
                NaN,
                NaN,
                3.2887482797610674e-06,
                0.9988304899721104
            ],
            [
                NaN,
                0.18242553269617778,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.209865971934245e-06,
                4.539785234013636e-05,
                0.9999921107352477
            ],
            [
                9.422449307915373e-07,
                7.338212429006964e-07,
                0.9990889488267921,
                NaN,
                4.222831932420432e-06,
                NaN,
                1.8925141460105737e-05,
                0.999915188959065,
                0.9998415637834701,
                0.9997040428738374
            ],
            [
                4.22283193338827e-06,
                NaN,
                NaN,
                5.043472878263805e-07,
                1.012999573511903e-05,
                NaN,
                NaN,
                1.7603432131119386e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.9902915223903291,
                7.88926164299515e-06,
                NaN,
                1.892514595037026e-05,
                NaN,
                NaN
            ],
            [
                2.7535684468004752e-05,
                NaN,
                NaN,
                NaN,
                1.3709573698620332e-06,
                4.5397868364209267e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                5.422220908481809e-06,
                1.7603436327425345e-06,
                NaN,
                3.7266397276079535e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                2.753568773539822e-05,
                NaN
            ],
            [
                8.315282257750556e-07,
                1.06770286991985e-06,
                NaN,
                NaN,
                6.144172395624368e-06,
                1.3007125294113192e-05,
                NaN,
                NaN,
                2.9023119846303784e-06,
                NaN
            ],
            [
                0.9999038975395551,
                NaN,
                0.005911067463474698,
                0.00015843625526627467,
                4.222834448800026e-06,
                NaN,
                1.5534984952492866e-06,
                NaN,
                NaN,
                7.889265405146477e-06
            ],
            [
                3.535623790822613e-05,
                NaN,
                3.1201900203407254e-05,
                NaN,
                4.222834953896582e-06,
                NaN,
                NaN,
                1.5534977545384963e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                0.010986943096111583,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                5.422220254107431e-06,
                NaN,
                1.3007133103127848e-05,
                1.4738987219429896e-05,
                3.120190388198478e-05,
                2.7535687733194446e-05,
                NaN,
                4.785094489232522e-06,
                NaN
            ],
            [
                0.00033535013045672143,
                NaN,
                0.20181321986003056,
                NaN,
                NaN,
                NaN,
                0.00015843615744344562,
                NaN,
                NaN,
                2.1444953511912968e-05
            ],
            [
                2.5612828208367393e-06,
                4.222832937727727e-06,
                2.260325105430442e-06,
                1.4738980193475914e-05,
                2.260324836341129e-06,
                4.78509449306228e-06,
                1.7603434224645293e-06,
                1.4738985478142165e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                1.1478772227338172e-05,
                1.0129994558129177e-05,
                NaN,
                1.9947290076496946e-06,
                8.939699476878686e-06,
                NaN,
                1.3007123812057577e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                6.962253758182361e-06,
                3.7266379498554884e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                3.288748278756061e-06,
                1.0129989769722525e-05,
                NaN
            ],
            [
                7.889266337060012e-06,
                1.4738976680446557e-05,
                4.78509620261415e-06,
                6.962253744910303e-06,
                0.002182716229323143,
                NaN,
                1.0129993389283824e-05,
                NaN,
                8.939697353247815e-06,
                4.006367772816297e-05
            ],
            [
                4.2228344475249366e-06,
                2.9023116383479355e-06,
                NaN,
                NaN,
                NaN,
                4.006367784548767e-05,
                0.0002611903960194213,
                0.0007096703240554816,
                1.1478764002165291e-05,
                1.4738978455325741e-05
            ],
            [
                NaN,
                NaN,
                0.0015011820878226775,
                NaN,
                6.605217556537751e-05,
                2.4300237729668814e-05,
                NaN,
                5.422220905887864e-06,
                4.53978738986824e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                1.670142182257665e-05,
                NaN,
                NaN,
                NaN,
                2.144494072680393e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9999646437325013,
                NaN,
                NaN,
                1.6701419805033213e-05,
                NaN,
                NaN,
                7.88926258185382e-06,
                1.6701423805852586e-05,
                NaN
            ],
            [
                0.9999995549147889,
                0.9998601779766589,
                NaN,
                0.9999982396569966,
                0.9999993524048931,
                2.144494328404357e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                2.260324567054496e-06,
                NaN,
                1.892515497620449e-05,
                0.6513548646660543,
                1.012998856048759e-05,
                NaN,
                2.1444943294263477e-05,
                0.00023050674124246636,
                NaN
            ],
            [
                NaN,
                6.144176066051891e-06,
                7.889264464106214e-06,
                2.561282210530385e-06,
                6.14417606400666e-06,
                1.1478765340500228e-05,
                NaN,
                7.889260695325465e-06,
                6.1441738667590205e-06,
                3.2887486723295965e-06
            ],
            [
                7.484621760656895e-05,
                8.481103985768444e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.670141585731762e-05,
                NaN,
                NaN
            ],
            [
                0.00013982204067405766,
                NaN,
                0.00037998447201399987,
                0.0004305571641429978,
                NaN,
                NaN,
                NaN,
                2.7535684477821552e-05,
                7.484622708369406e-05,
                NaN
            ],
            [
                1.892514597563747e-05,
                NaN,
                NaN,
                NaN,
                0.02297737103903835,
                0.2689414330889797,
                NaN,
                NaN,
                3.120191863103277e-05,
                NaN
            ],
            [
                8.481107095842974e-05,
                NaN,
                NaN,
                0.0004878571073418226,
                NaN,
                NaN,
                NaN,
                7.88926633625639e-06,
                1.147876537896029e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                6.605212094771048e-05,
                NaN,
                NaN,
                NaN,
                7.48462538226543e-05,
                7.889264451908395e-06,
                5.422218321441422e-06,
                1.4738983703932378e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.5534977544367678e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                3.9278610659491504e-07,
                NaN,
                NaN,
                4.006370639416863e-05,
                NaN,
                NaN,
                0.09534947196849916,
                1.1478768122695653e-05,
                1.760343003208622e-06,
                NaN
            ],
            [
                1.147876812238246e-05,
                0.004609571602490929,
                NaN,
                1.7603427934462202e-06,
                5.422218322763051e-06,
                NaN,
                2.561281294616881e-06,
                NaN,
                0.40733340004593027,
                2.753569764256071e-05
            ]
        ]
    },
    {
        "q_id": "10504_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999997617631184,
                0.9999995549149481,
                0.999999352405279,
                0.999999266178757,
                0.999999730042319,
                0.9999997617631752,
                0.9999996533674202,
                0.9999997617629764,
                0.9999996940976636,
                0.99999976176309
            ],
            [
                0.9999994284994849,
                0.9999987901343165,
                0.9999986290424664,
                0.9999993524052789,
                0.9999982396561571,
                0.9999996533672962,
                0.9999991684716749,
                0.9999990577552937,
                0.9999986290426298,
                0.9999982396569965
            ],
            [
                0.9999998724809115,
                0.9999995549148419,
                0.9999991684717742,
                0.9999991684719723,
                0.9999994956527722,
                0.9999994956527121,
                0.9999992661788446,
                0.9999996940977366,
                0.9999993524050474,
                0.9999996072137998
            ],
            [
                0.9999996533672549,
                0.9999996533673788,
                0.9999996533672135,
                0.9999997617631469,
                0.9999998555019274,
                0.9999996533673788,
                0.9999996940976636,
                0.9999996940976636,
                0.999999814460876,
                0.9999996533674615
            ],
            [
                0.9999995549151072,
                0.9999990577550691,
                0.999999730042126,
                0.9999994956523514,
                0.9999998724809723,
                0.9999993524054335,
                0.9999996072137529,
                0.9999998144608981,
                4.539788461289054e-05,
                0.9999994956525918
            ],
            [
                0.9999995549147358,
                0.999999266178932,
                0.9999990577550691,
                0.9999990577550691,
                0.9999996533674615,
                0.9999997300422547,
                0.9999996940977002,
                0.999999266178932,
                0.9999987901338838,
                0.9999996533674201
            ],
            [
                0.999999554914895,
                0.9999982396572065,
                0.9999998144609644,
                0.9999996072137061,
                0.9999997617630332,
                0.9999970976866309,
                0.9999998362623332,
                0.9999997300422225,
                0.9999995549151073,
                0.9999989322971299
            ],
            [
                0.9999986290429566,
                0.9999996072139402,
                0.9999993524050474,
                0.9999995549147359,
                0.9999990577555183,
                0.9999995549150542,
                0.9999991684721706,
                0.999999352404893,
                0.9999994956524716,
                0.9999987901346049
            ],
            [
                0.9999992661788445,
                0.999999352405279,
                0.9999993524051246,
                0.9999967112517186,
                0.9999980052702785,
                0.9999994284996893,
                0.9999980052700408,
                0.9999996072139402,
                0.9999990577550691,
                0.9999991684721706
            ],
            [
                0.9999992661788445,
                0.9999996940977731,
                0.999999352405279,
                0.9999990577554061,
                0.999999352405279,
                0.999999730042126,
                0.9999995549150542,
                0.9999997300421581,
                0.9999998144609424,
                0.9999997897567091
            ],
            [
                0.9999998724809267,
                0.9999996072137998,
                0.9999996533672962,
                0.999999730042126,
                0.9999994956526519,
                0.9999997897566089,
                0.999999887464905,
                0.9999996072136592,
                0.9999997897566089,
                0.9999995549150542
            ],
            [
                0.9999996533672962,
                0.9999996940978095,
                0.9999997300422869,
                0.9999997300420937,
                0.999999789756684,
                0.9999998724808963,
                0.9999996940978825,
                0.9999996940978095,
                0.9999996072136592,
                0.999999266178757
            ],
            [
                3.466327863983311e-07,
                3.466327037539638e-07,
                1.3709576971379186e-06,
                8.31528424162821e-07,
                3.05902190458764e-07,
                6.475945666033422e-07,
                7.3382080556433e-07,
                4.785093924156175e-06,
                2.699578740032504e-07,
                3.9278610661822475e-07
            ],
            [
                0.999993855826863,
                0.9999997300420937,
                0.9999993524052789,
                0.9999996533675028,
                0.9999994956524716,
                0.999999554914842,
                0.9999995549150011,
                0.9999995549147358,
                0.9999994284993486,
                0.9999993524053562
            ],
            [
                0.9999989322966208,
                0.9999987901337395,
                0.9999938558261305,
                0.9999982396565767,
                0.9999994284994849,
                0.9999991684719723,
                0.9999994956526519,
                0.999999653367379,
                0.9999994284994167,
                0.9999980052705163
            ],
            [
                0.962673111584966,
                0.9840936052267326,
                0.9890130570658079,
                0.9840936068011941,
                0.9940889309768428,
                1.4738976698006875e-05,
                0.9940889298166576,
                0.9953904270193988,
                1.5534983101478522e-06,
                0.9994472212589162
            ],
            [
                0.9999989322967481,
                0.9999997300422868,
                0.999999266178757,
                0.9999991684717742,
                0.9999967112493665,
                0.9999991684718732,
                0.9999997617631184,
                0.9999980052693274,
                0.999998629042303,
                0.9999994956524716
            ],
            [
                0.9999938558275958,
                0.9999991684717742,
                0.99999893229713,
                0.9999982396567867,
                0.9999996533675028,
                0.9999885212318754,
                0.999998790134028,
                0.9999980052702785,
                0.9999993524049703,
                0.9999996533672136
            ],
            [
                0.9999994284992805,
                0.9999962733602716,
                0.9999980052707541,
                0.9999982396565769,
                0.9999994956524115,
                0.999999694097773,
                0.9999987901347491,
                0.9999991684720715,
                0.999999653367379,
                0.9999994284994167
            ],
            [
                0.9999992661786696,
                0.999999266178757,
                0.9999989322975118,
                0.9999995549150011,
                0.9999994956527722,
                0.9999987901337396,
                0.9999996072139402,
                0.9999996072136592,
                0.9999995549148419,
                0.999999730042126
            ],
            [
                0.9999998362622942,
                0.9999998362622357,
                0.9999997897565587,
                0.9999997897566089,
                0.9999994956523514,
                0.999999694097846,
                0.9999984465020603,
                0.9999995549150011,
                0.9999998362623723,
                0.9999994284993486
            ],
            [
                0.9999990577555185,
                0.9999995549149481,
                0.9999994956527121,
                0.9999992661790195,
                0.9999810748517612,
                0.9999997897565587,
                0.9999994956525917,
                0.9999996072137998,
                0.9999989322968754,
                0.9999984465018751
            ],
            [
                0.9999998362622747,
                0.9999996940976272,
                0.9999996940976636,
                0.9999997300422547,
                0.9999996072138465,
                0.99999976176309,
                0.9999997300422225,
                0.9999996072139402,
                0.9999996940976272,
                0.9999997300422225
            ],
            [
                0.9999993524053562,
                0.9999987901344607,
                0.9999996533672549,
                0.9999996072137529,
                0.9999996072136592,
                0.9999996072138934,
                0.9999993524053562,
                0.9999997617630049,
                0.9982992776864031,
                0.9999997617631184
            ],
            [
                0.99999976176309,
                0.999999855502048,
                0.999999814460876,
                0.9999989322971299,
                0.9999993524054335,
                0.9999996072136592,
                0.9999997300422546,
                0.9999998724809267,
                0.9999996533673375,
                0.9999982396565769
            ],
            [
                0.9999998362623332,
                0.9999996533672135,
                0.9999997617631752,
                0.9999994284993485,
                0.9999996533674615,
                0.9999996533672136,
                0.999999694097846,
                0.999999814460876,
                0.9999980052693274,
                0.9999994956524716
            ],
            [
                0.9999996072138465,
                0.99999976176309,
                0.9999996940976271,
                0.9999997897566089,
                0.9999998724809571,
                0.9999996533672962,
                0.9999997897567091,
                0.9999998555019618,
                0.9999996940976272,
                0.9999997897566589
            ],
            [
                0.9999984465016898,
                0.9999982396572065,
                0.9999993524050473,
                0.9999986290431201,
                0.9999996072137529,
                0.999999554914895,
                0.9999994284992805,
                0.9999990577551815,
                0.9999992661790196,
                0.9999994956527121
            ],
            [
                0.9999993524053562,
                0.9999990577556307,
                0.9999990577554061,
                0.9999986290432834,
                0.9999996072138465,
                0.9999996072137998,
                0.9999996940977366,
                0.9999996533672962,
                0.9999997300422225,
                0.9999994956524115
            ],
            [
                0.9999987901338838,
                0.9999990577555185,
                0.999999495652652,
                0.999999168471675,
                0.9999996072137998,
                0.9999986290423029,
                0.9999996940976636,
                0.9999991684718732,
                0.9999997617631184,
                0.9999995549149481
            ],
            [
                0.9999994284996893,
                0.9999995549149481,
                0.9999992661791944,
                0.9999990577554061,
                0.9999991684719725,
                0.9999996072138934,
                0.9999993524053562,
                0.9999997897565587,
                0.9999990577552937,
                0.9999996940978095
            ],
            [
                0.9999998724808963,
                0.999999814460854,
                0.9999998724809571,
                0.999999730042126,
                0.9999998555019274,
                0.9999996940978095,
                0.9999998555019274,
                0.999999730042319,
                0.9999998144608317,
                0.9999995549150011
            ],
            [
                0.9999997617629764,
                0.9999982396567867,
                0.999999266178757,
                0.9999993524054334,
                0.999999554914842,
                0.999999789756684,
                0.9999997617630049,
                0.9999996940977366,
                0.9999996533674615,
                0.9999980052702786
            ],
            [
                0.9999998362622552,
                0.9999996072137061,
                0.9999993524049702,
                0.9999993524049702,
                0.9999994284996211,
                0.999999730042319,
                0.999999266179107,
                0.9999993524051246,
                0.9999996072137061,
                0.999999057755069
            ],
            [
                0.9999994284994167,
                0.9999982396574163,
                0.9999987901337396,
                0.999999352405279,
                0.9999957771650453,
                0.9999996072138934,
                0.9999994956523514,
                0.9999994956526519,
                0.9999994284996211,
                0.9999984465018751
            ],
            [
                0.9999991684715759,
                0.9999994284994849,
                0.9999995549147358,
                0.9999994284995529,
                0.999999352404893,
                0.9999996940976636,
                0.9999994284997573,
                0.9999984465018751,
                0.9999994956525918,
                0.9999993524050473
            ],
            [
                0.9996646497307152,
                0.99999862904312,
                0.9999898700126433,
                0.9999986290432835,
                0.9999989322968755,
                0.9999339478710885,
                0.9999945777816767,
                0.9999898700126437,
                0.9999974387180947,
                0.9669140216112959
            ],
            [
                0.9999996533675028,
                0.9999996072137061,
                0.9999996940978825,
                0.9999996072137061,
                0.9999998724808963,
                0.9999997617631752,
                0.9999997300420937,
                0.9999997897567091,
                0.9999997897567341,
                0.999999554914895
            ],
            [
                0.9999994956524716,
                0.9999998362622552,
                0.9999996072137998,
                0.999999266179107,
                0.9999987901338838,
                0.9999996940976636,
                0.9999996940976271,
                0.9999987901338838,
                0.9999998144608097,
                0.9999982396569966
            ],
            [
                0.9999994284996211,
                0.999999814460876,
                0.9999996072137998,
                0.9999996940978095,
                0.9999997300421581,
                0.9999995549148419,
                0.9999997300422225,
                0.9999995549147358,
                0.9999997897567341,
                0.9999995549149481
            ],
            [
                3.466325797896173e-07,
                4.450848927658745e-07,
                5.043474082005342e-07,
                1.2098658277489788e-06,
                4.450851580555361e-07,
                1.8553905760024476e-07,
                6.475947982022763e-07,
                3.0590237279032884e-07,
                5.715003107755449e-07,
                8.315281267861397e-07
            ],
            [
                1.7603434231385591e-06,
                0.998073265590988,
                1.7603436330091044e-06,
                2.7535694343912553e-05,
                0.9940889305664,
                7.889265406681968e-06,
                7.484621828233953e-05,
                2.2603242977802297e-06,
                0.9964063978462648,
                0.9940889308126657
            ],
            [
                4.450850519403407e-07,
                3.059022269250683e-07,
                3.466327037548308e-07,
                1.7603436330091044e-06,
                3.466327863983311e-07,
                1.3709578605617394e-06,
                1.9947301970813926e-06,
                3.726641061027928e-06,
                5.715006514167015e-07,
                2.6995784182073116e-07
            ],
            [
                0.9999996072137998,
                0.9999996072138465,
                0.9999910603058275,
                0.9999994284997573,
                0.9999996533674615,
                0.9999990577554061,
                0.9999938558275958,
                0.9999989322966208,
                0.9999993524054334,
                0.9999993524054334
            ],
            [
                0.9999996072136592,
                0.9999992661791944,
                0.9999990577551814,
                0.9999993524050473,
                0.999999266178757,
                0.9999994956523514,
                0.9999994956524715,
                0.9999992661788446,
                0.9999989322967481,
                0.9999994284996212
            ],
            [
                0.9999996940976636,
                0.9999982396567867,
                0.9999996940977731,
                0.9999977396759716,
                0.9999991684722698,
                0.9999997300422225,
                0.9999994284997573,
                0.9999995549147358,
                0.9999982396572064,
                0.9999993524049703
            ],
            [
                0.9999996940976272,
                0.9999987901344607,
                0.9999994284993486,
                0.9999997897566338,
                0.9999997897566089,
                0.9999997300422547,
                0.9999994956524114,
                0.999999653367379,
                0.9999996940978095,
                0.9999994284996893
            ],
            [
                0.9999977396765105,
                0.9999986290421394,
                0.9999991684722698,
                0.9999994284994849,
                0.9999990577554061,
                0.9999990577555185,
                0.9999885212318748,
                0.9999986290424664,
                0.9999994284996891,
                0.9999994956524114
            ],
            [
                0.9999996072136592,
                0.9999994956525317,
                0.9999995549151072,
                0.9999980052693274,
                0.9999996940976272,
                0.9999995549147889,
                0.9999993524052789,
                0.9999996072137998,
                0.9999995549149481,
                0.9999996072137529
            ],
            [
                0.9999989322966208,
                0.9999993524052789,
                0.999998239656367,
                0.9999991684717741,
                0.9999970976873229,
                0.9999852610162713,
                0.9999970976876689,
                0.9999977396762411,
                0.9999970976866309,
                0.999998239656577
            ],
            [
                0.9999989322975118,
                0.9999989322966208,
                0.9999970976890529,
                0.9999990577555185,
                0.9999995549151073,
                0.9999995549148419,
                0.9999994284994848,
                0.99999862904312,
                0.9999996072137529,
                0.9999990577551815
            ],
            [
                0.999999266178757,
                0.9999997897565587,
                0.9999996940977731,
                0.9999997897567091,
                0.9999996072137529,
                0.999999814460854,
                0.9999996940977366,
                0.9999996533672962,
                0.9999994284996211,
                0.9999997897566589
            ],
            [
                0.9999997617630616,
                0.9999991684718732,
                0.9999990577554061,
                0.9999997300421903,
                0.9999996940977002,
                0.9999993524051246,
                0.9999994956525317,
                0.9999996533672962,
                0.9999993524048929,
                0.9999996940976271
            ],
            [
                0.9999994956524716,
                0.9999998362623332,
                0.9999997300421903,
                0.9999990577552939,
                0.9999994284995529,
                0.9999994956525317,
                0.9999994956525918,
                0.9999994956527121,
                0.9999996072136125,
                0.9999998555019274
            ],
            [
                0.9999995549151073,
                0.9999993524053562,
                0.9999994284995529,
                0.9999997617630616,
                0.999999730042126,
                0.9999997617631752,
                0.9999997617631469,
                0.9999995549150542,
                0.9999997897566089,
                0.9999994956527121
            ],
            [
                0.9999996940978461,
                0.9999995549150541,
                0.9999997300420937,
                0.9999996940978461,
                0.9999994956524716,
                0.9999994284997573,
                0.9999997617629764,
                0.9999967112497584,
                0.9999996072137061,
                0.9999998362623528
            ],
            [
                0.9999996940976272,
                0.9999997300422546,
                0.9999998555020135,
                0.9999995549150011,
                0.9999996072137529,
                0.9999996533672962,
                0.9999997300422547,
                0.9999992661787571,
                0.9999994956527121,
                0.9999990577555185
            ],
            [
                0.9999996940977002,
                0.9999990577550691,
                0.9999996072137529,
                0.9999998144609644,
                0.9999992661786696,
                0.9999989322972572,
                0.9999994284996211,
                0.9999996940977002,
                0.9999993524052018,
                0.9999997617629764
            ],
            [
                0.9999991684721706,
                0.9999996533675028,
                0.9999996940977366,
                0.9999997897566338,
                0.9999997300421903,
                0.9999996533674615,
                0.9999995549147358,
                0.9999980052707541,
                0.9999996072137061,
                0.9999997617631752
            ],
            [
                0.9999991684719723,
                0.999999266179107,
                0.9999997300422868,
                0.999999694097773,
                0.9999990577552937,
                0.999999266179107,
                0.9999989322975118,
                0.9999993524050473,
                0.9999993524051246,
                0.9999989322972572
            ],
            [
                0.9999991684722698,
                0.9999967112517187,
                0.9999994284997573,
                0.9999987901338838,
                0.9999987901338838,
                0.9999990577550691,
                0.9999984465026158,
                0.9999987901347491,
                0.9999977396765105,
                0.9999992661791945
            ],
            [
                0.9999982396572064,
                0.99999862904312,
                0.9999974387184,
                0.999991060300499,
                0.9999987901347491,
                0.9999977396757022,
                0.9999984465022455,
                0.9999962733620487,
                0.9999992661792819,
                0.9999980052700407
            ],
            [
                0.9999990577554061,
                0.9999957771655487,
                0.9999990577550691,
                0.9999991684721705,
                0.9999989322966208,
                0.9999986290424663,
                0.9999989322968753,
                0.9999980052700408,
                0.9999986290432835,
                0.9999970976866309
            ],
            [
                0.9999996072137998,
                0.9999998362623332,
                0.9999994284994849,
                0.9999996072138465,
                0.9999996533672136,
                0.9999996940977731,
                0.9999994956523514,
                0.9999996072137998,
                0.9999996533674201,
                0.9999993524050473
            ],
            [
                0.999999266179107,
                0.9999996072136125,
                0.9999996940977731,
                0.9999996940977366,
                0.999999653367379,
                0.9999996533673788,
                0.9999996940977366,
                0.9999998362623528,
                0.9999996072137529,
                0.9999994284997573
            ],
            [
                0.9999994956524114,
                0.9999998144608538,
                0.9999994956523514,
                0.9999974387184,
                0.9999991684717741,
                0.9999995549147358,
                0.9999996533674614,
                0.9999996533673375,
                0.9999997300421903,
                0.9999997300422547
            ],
            [
                0.9999996533672549,
                0.9999995549150011,
                0.9999991684716749,
                0.9999996533674614,
                0.9999994284994167,
                0.9999996072139402,
                0.9999990577555183,
                0.9999987901347491,
                0.9999997617630049,
                0.9999991684719723
            ],
            [
                0.9999995549150541,
                0.9999962733593832,
                0.9999967112509347,
                0.9999996072138465,
                0.9999991684721706,
                0.9999991684717741,
                0.9999994956527722,
                0.9999993524052018,
                0.9999994956526519,
                0.9999994284996893
            ],
            [
                0.9999995549151072,
                0.9999991684717741,
                0.9999987901337396,
                0.9999994284995529,
                0.9999995549150011,
                0.9999997897567341,
                0.9999982396569965,
                0.9999995549149481,
                0.9999994284996893,
                0.999998790134028
            ],
            [
                0.9999987901341723,
                0.9999996533673375,
                0.9999994284996211,
                0.9999993524053562,
                0.9999993524053562,
                0.9999994284996211,
                0.999999694097846,
                0.9999993524054335,
                0.9999997897565587,
                0.9999987901338838
            ],
            [
                0.9999996072139402,
                0.9999997617630333,
                0.9999996072139402,
                0.9999996533672136,
                0.9999994956525317,
                0.9999996072136125,
                0.9999997300422546,
                0.9999994956525918,
                0.9999994284997573,
                0.9999997300421581
            ],
            [
                0.9999989322966208,
                0.9999996072138934,
                0.9999994284996211,
                0.9999994284994849,
                0.99999862904312,
                0.9999994284996891,
                0.9999982396574163,
                0.9999995549148419,
                0.9999967112493665,
                0.999997438716568
            ],
            [
                0.9999986290432835,
                0.9999996940976272,
                0.9999970976866309,
                0.999999554914895,
                0.9999996533673375,
                0.9999986290427931,
                0.9999991684715759,
                0.9999986290431201,
                0.9999991684717742,
                0.999999266178932
            ],
            [
                0.999999352404893,
                0.9999989322973845,
                0.9999967112509348,
                0.9999994284992805,
                0.9999995549151073,
                0.999999266178757,
                0.9999994284992805,
                0.999999855502048,
                0.9999994284995529,
                0.9999952149055052
            ],
            [
                0.9999994956524114,
                0.9999995549151073,
                0.9999997300420939,
                0.9999996072138465,
                0.999999730042126,
                0.9999996533675028,
                0.9999996072137998,
                0.9999996533672549,
                0.9999957771670589,
                0.9999996072137061
            ],
            [
                0.9999997300422225,
                0.9999996533673375,
                0.9999991684720715,
                0.9999992661792819,
                0.9999997300422547,
                0.9999995549147359,
                0.9999998144608981,
                0.9999996533673375,
                0.9999997300420937,
                0.9999996533672136
            ],
            [
                0.9999993524049702,
                0.9999996533674614,
                0.9999994956524716,
                0.9999994956525918,
                0.9999994284992805,
                0.9999996072138934,
                0.9999992661786695,
                0.9999996533674202,
                0.9999991684720715,
                0.9999984465015047
            ],
            [
                0.9999992661791944,
                0.9999994956525317,
                0.9999990577551815,
                0.9999997300421903,
                0.9999989322970027,
                0.9999987901344607,
                0.9999992661792819,
                0.9999987901338838,
                0.9999996072137061,
                0.9999994956526519
            ],
            [
                0.9999997617631752,
                0.9999996533673375,
                0.9999996940978095,
                0.9999995549150542,
                0.9999993524054334,
                0.9999989322967481,
                0.9999989322967481,
                0.9999996533672549,
                0.9999991684715759,
                0.9999996072137061
            ],
            [
                0.9999996940977366,
                0.9999996072137998,
                0.9999997617631184,
                0.9999997300421903,
                0.9999998144608981,
                0.9999996072138934,
                0.9999996072136125,
                0.9999993524054335,
                0.9999996940977001,
                0.9999986290421394
            ],
            [
                0.9999996533674615,
                0.9999997897566089,
                0.9999996940978095,
                0.9999996940977002,
                0.9999996940977366,
                0.9999996072136592,
                0.9999996940978825,
                0.9999997897566589,
                0.9999998144609424,
                0.9999995549151072
            ],
            [
                0.9999994284996893,
                0.9999997300420937,
                0.9999986290429566,
                0.9999995549147889,
                0.9999987901343165,
                0.9999957771670589,
                0.9999339478789658,
                0.9999995549148419,
                0.9999990577555183,
                0.9999984465020603
            ],
            [
                0.9999984465020603,
                0.9999994956524115,
                0.9999994284997573,
                0.9999991684719723,
                0.9999995549151073,
                0.9999995549149481,
                0.9999991684719723,
                0.9999991684717741,
                0.9999991684722697,
                0.9999990577556307
            ],
            [
                0.999999352404893,
                0.999999694097846,
                0.9999995549151073,
                0.9999998362622357,
                0.9999994956523514,
                0.9999996533673788,
                0.9999994956527722,
                0.9999992661791944,
                0.9999997300421903,
                0.9999998555019446
            ],
            [
                0.9999982396565769,
                0.9999996072136592,
                0.9999996072137529,
                0.9999996940977731,
                0.9999994284996893,
                0.9999989322973846,
                0.9999997897566338,
                0.9999992661790195,
                0.9999994956527722,
                0.9999997617631184
            ],
            [
                0.9999967112521109,
                0.9999996940977002,
                0.9999995549150542,
                0.9999995549150541,
                0.999999730042319,
                0.9999994284994849,
                0.999999814460876,
                0.9999996940976272,
                0.999999057755743,
                0.9999982396574163
            ],
            [
                0.999999352404893,
                0.999999554914895,
                0.9999991684718732,
                0.9999994956525317,
                0.9999993524053562,
                0.9999995549147889,
                0.9999996940978825,
                0.999999730042319,
                0.9999994284992805,
                0.9999997897566338
            ],
            [
                0.9999989322967481,
                0.9999994956527121,
                0.9999984465022455,
                0.9999997300422225,
                0.999999266178757,
                0.9999997300421903,
                0.9999994284996893,
                0.9999993524051246,
                0.9999996533674615,
                0.9999994284997573
            ],
            [
                0.9999996533675028,
                0.9999995549147359,
                0.9999991684717741,
                0.9999994284996893,
                0.9999995549147358,
                0.9999995549150011,
                0.9999980052709919,
                0.9999991684717741,
                0.9999995549147889,
                0.9999994956525318
            ],
            [
                0.9999996072137529,
                0.9999992661786696,
                0.9999996940978095,
                0.9999992661786695,
                0.9999994284994167,
                0.9999996940976272,
                0.9999998144609424,
                0.99999976176309,
                0.9999995549150011,
                0.9999992661790196
            ],
            [
                0.9999930377454124,
                0.9999984465016899,
                0.9999945777790911,
                0.9999974387177893,
                0.9999974387177893,
                0.9999957771665556,
                0.9999974387168732,
                0.9999945777829693,
                0.9999967112513267,
                0.9999945777816768
            ],
            [
                0.9999996072139402,
                0.9999993524050474,
                0.9964063974360875,
                0.9999997897565838,
                0.9999996072136125,
                0.9999996533672962,
                0.999998629042303,
                0.9999990577552939,
                0.9999910603015648,
                0.9999980052698029
            ],
            [
                0.9820137900708078,
                1.0129988563546333e-05,
                0.9840936047019121,
                0.9902915221575267,
                7.889261645090304e-06,
                0.9840936094836096,
                5.144219522921654e-05,
                1.760343213322473e-06,
                1.892514372640862e-05,
                0.9149009474519222
            ],
            [
                0.9999996072138465,
                0.9999990577551815,
                0.9999994284997573,
                0.9999997897566589,
                0.9999991684720715,
                0.9999996072138934,
                0.9999996072137998,
                0.9999996072137998,
                0.9999995549151072,
                0.9999996940977001
            ],
            [
                0.9999987901343165,
                0.9999994284997573,
                0.9999986290432834,
                0.9999996940978095,
                0.9999987901347492,
                0.999999266178932,
                0.9999970976883609,
                0.999999352404893,
                0.9999994284997573,
                0.9999980052702785
            ],
            [
                0.9999997300420937,
                0.9999996072136592,
                0.9999994284996893,
                0.999999554914842,
                0.9999994956524716,
                0.9999993524054334,
                0.9999994284992805,
                0.9999810748472471,
                0.9999994956524716,
                0.9999994956525318
            ],
            [
                0.9999997300422869,
                0.9999996940977366,
                0.9999992661788445,
                0.9999996072139402,
                0.9999992661786696,
                0.99999976176309,
                0.9999996533672549,
                0.9999996533674614,
                0.9999996940978461,
                0.9999996072138934
            ],
            [
                0.9999996533674614,
                0.999998005269803,
                0.9999993524052019,
                0.9999992661791944,
                0.9999995549149481,
                0.9999977396748938,
                0.9999994956526519,
                0.9999992661788446,
                0.9999996940977366,
                0.9999994284996211
            ],
            [
                0.9999994284994849,
                0.9999996072139402,
                0.9999997617631468,
                0.9999995549151072,
                0.9999996072138465,
                0.9999996533672549,
                0.9999994284994168,
                0.9999986290427931,
                0.9999980052707541,
                0.9999974387180947
            ],
            [
                0.9999989322970027,
                0.9999977396748938,
                0.9999986290429566,
                0.9998911031297456,
                0.9999885212291382,
                0.9999974387171787,
                0.9999785550439207,
                0.9999987901346049,
                0.9999974387187053,
                0.9999986290426298
            ],
            [
                0.9999995549149481,
                0.9999994956525317,
                0.9999994956527121,
                0.999999266178932,
                0.9999986290423029,
                0.9999984465026158,
                0.9999996533672135,
                0.9999994956524115,
                0.9999996533673788,
                0.9999997617630617
            ],
            [
                0.9999785550566999,
                0.9999869928699862,
                0.9999945777790911,
                0.9999810748585282,
                0.9999930377429209,
                0.9999977396751633,
                0.9999599362982708,
                0.9999984465024306,
                0.9999151889282987,
                0.9999938558261307
            ],
            [
                0.9999996940976636,
                0.9999994956527121,
                0.9999995549147358,
                0.9999996072137061,
                0.9999991684719725,
                0.9999996072136592,
                0.9999982396574163,
                0.9999993524049703,
                0.9999992661792819,
                0.9999994284994167
            ],
            [
                0.999999653367379,
                0.9999997300421581,
                0.9999996072137061,
                0.9999998362622552,
                0.9999998724809267,
                0.9999995549147889,
                0.9999992661791944,
                0.9999989322970027,
                0.9999997617630332,
                0.9999997300422547
            ],
            [
                0.9999995549149481,
                0.9999994956524716,
                0.9999996072138465,
                0.99999976176309,
                0.9999997300420937,
                0.9999997300420937,
                0.999999730042126,
                0.9999996940978095,
                0.999999730042319,
                0.9999996533672136
            ],
            [
                0.9999997897565587,
                0.9999992661791944,
                0.9999997617629764,
                0.9999996533673375,
                0.99999862904312,
                0.9999993524054334,
                0.999999554914895,
                0.9999994956526519,
                0.9999991684720715,
                0.9999994956527121
            ],
            [
                0.9999994956524715,
                0.9999993524051246,
                0.9999996940977002,
                0.9998204720338216,
                0.9999997300422547,
                0.9999994284992805,
                0.9999994956527121,
                0.9999992661786696,
                0.9999994956523512,
                0.9999990577555185
            ],
            [
                0.9999997897566338,
                0.9999994284994167,
                0.9999996533675028,
                0.9999996072137998,
                0.9999994956524716,
                0.9999997617631752,
                0.9999996072136592,
                0.9999996940978095,
                0.9999996940977731,
                0.9999997617631752
            ],
            [
                0.9999996072138934,
                0.9999967112501507,
                0.9999987901337396,
                0.9999994284996893,
                0.9999994284996211,
                0.9999990577550691,
                0.9999996072139402,
                0.9999994956526519,
                0.9999987901337395,
                0.9999991684720715
            ],
            [
                0.9999996072139402,
                0.9999996072138465,
                0.9999996533672962,
                0.9999993524051246,
                0.9999994956525318,
                0.9999996940976272,
                0.9999994956526519,
                0.99999976176309,
                0.9999996533674615,
                0.999999554914895
            ],
            [
                0.9999997300422547,
                0.9999996072137061,
                0.9999995549148419,
                0.9999998362623528,
                0.9999996072137529,
                0.9999998874648647,
                0.9999991684717742,
                0.9999996533675028,
                0.9999995549150542,
                0.9999994284997573
            ],
            [
                0.9999997617631469,
                0.9999997897567341,
                0.9999996940977366,
                0.9999997897567091,
                0.9999995549149481,
                0.9999997300421581,
                0.9999998144609202,
                0.9999996533673788,
                0.9999995549150541,
                0.999999057755743
            ],
            [
                0.9999995549151072,
                0.9999994956525918,
                0.9999992661786696,
                0.9999989322975118,
                0.9999996072136125,
                0.999999554914895,
                0.9999996533674615,
                0.9999984465026158,
                0.9999974387171787,
                0.9999994956527722
            ],
            [
                0.9999977396754327,
                0.999995777166052,
                0.9999986290429566,
                0.9999967112513267,
                0.9999921107336528,
                0.9999930377420904,
                0.9999974387168733,
                0.9999977396762411,
                0.9999962733616046,
                0.9999970976880149
            ],
            [
                0.9988304897490875,
                0.9579122687801985,
                0.9914225165900188,
                0.9840936056932398,
                0.9399133561377043,
                0.9149009515124917,
                0.9902915232051379,
                1.147876402018431e-05,
                0.9820137907945936,
                5.8291244660131775e-05
            ],
            [
                0.9999990577556308,
                0.9999990577554061,
                0.999996273358939,
                0.9999977396754327,
                0.9999984465020603,
                0.9999982396565769,
                0.9999993524053563,
                0.9999984465022455,
                0.9999989322972572,
                0.9999984465024306
            ],
            [
                0.9999995549151072,
                0.9999984465022455,
                0.9999991684718732,
                0.999999730042126,
                0.999999266179107,
                0.9999995549150541,
                0.9999994956524716,
                0.9999994284994167,
                0.9999996072138465,
                0.9999993524052019
            ],
            [
                0.9999992661790196,
                0.9999998144608317,
                0.9999996533674202,
                0.999999554914895,
                0.9999997897565838,
                0.9999996940976636,
                0.9999977396762411,
                0.9999997897565587,
                0.9999724643056167,
                0.9999996533672136
            ],
            [
                0.9999991684722698,
                0.9999998362622357,
                0.9999992661789321,
                0.9999992661786695,
                0.9999984465020603,
                0.9999993524048929,
                0.999999495652712,
                0.9999994956523512,
                0.9999996072139402,
                0.9999994284996211
            ],
            [
                0.9999995549147358,
                0.9999962733607158,
                0.9999991684719723,
                0.999999554914895,
                0.999999266179107,
                0.9999987901347492,
                0.9999994284996893,
                0.9999982396563669,
                0.9999992661786695,
                0.9999987901344607
            ],
            [
                0.9999996072136125,
                0.9999993524054335,
                0.999999694097846,
                0.99999893229713,
                0.999999554914895,
                0.9999996533672962,
                0.9999996072138465,
                0.9999987901344607,
                0.9999996072136592,
                0.999999554914895
            ],
            [
                0.9999984465022455,
                0.9999982396559473,
                0.9999994956523514,
                0.9999991684721706,
                0.9999977396759716,
                0.9999977396765105,
                0.9999984465024306,
                0.9999952149043644,
                0.9999970976883608,
                0.9999991684715759
            ],
            [
                0.9999994956527722,
                0.9999997897566089,
                0.9999997300420937,
                0.9999994956523514,
                0.9999991684717741,
                0.9999993524054334,
                0.9999997300422547,
                0.9999995549151073,
                0.9999995549151073,
                0.9999994956524114
            ],
            [
                0.9999987901344607,
                0.9999990577550691,
                0.9999994956525317,
                0.9999885212277692,
                0.9999984465026158,
                0.9999996072137529,
                0.9999991684719723,
                0.9999990577554061,
                0.99999893229713,
                0.999999266178757
            ],
            [
                0.9999982396572064,
                0.9999996940977731,
                0.9999996940978095,
                0.9999996533672549,
                0.9999996533674202,
                0.9999996940976272,
                0.9999997897567341,
                0.9999996533672962,
                0.9999996940976271,
                0.9999997897565587
            ],
            [
                0.999999554914895,
                0.9999996072136592,
                0.9999991684721706,
                0.9999990577552937,
                0.999999266179107,
                0.999999554914895,
                0.9999151889283443,
                0.9999996533672135,
                0.9999994284995529,
                0.9999995549148419
            ],
            [
                0.9890130576325259,
                9.610238053958679e-05,
                0.9902915230260592,
                0.999796573002639,
                0.9046505261034854,
                0.9241418168448761,
                0.9740426434144294,
                8.939694172420599e-06,
                0.9964063982672804,
                3.4663278639738526e-07
            ],
            [
                0.9999994956525918,
                0.9999977396757022,
                0.9999989322968754,
                0.9999986290426297,
                0.9999982396572064,
                0.9999921107374145,
                0.9999938558232009,
                0.9999994284993485,
                0.999999266178757,
                0.9999977396759716
            ]
        ]
    },
    {
        "q_id": "10688_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            41,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999785550592607,
                0.9999724643089034,
                0.999978555054146,
                0.999933947871098,
                0.9999962733589389,
                0.9999832985721844,
                0.9999810748495044,
                0.9999485577740962,
                0.9999724642990664,
                0.9999869928746369
            ],
            [
                0.999796573006306,
                0.9997965731137057,
                0.9982992778939392,
                0.5621765008857981,
                0.9796676463234238,
                0.9890130561853709,
                0.9998415637264605,
                0.9968273167657744,
                0.99944722132275,
                0.9046505261034854
            ],
            [
                0.9999687980774796,
                0.9997388097224972,
                0.9996200155605424,
                0.9999599362934897,
                0.9998766053958151,
                0.9997965730267098,
                0.999891103129683,
                0.9997694932302121,
                0.999891103038896,
                0.9995694429119992
            ],
            [
                1.067702615468225e-06,
                1.5534979397740895e-06,
                6.962254589851619e-06,
                2.2603242978665707e-06,
                2.260324028404236e-06,
                4.450852111135988e-07,
                1.067703251864202e-06,
                2.5612822106841303e-06,
                2.5612816000646084e-06,
                5.422218969769604e-06
            ],
            [
                0.9988304896167695,
                0.999959936322143,
                0.9997388095661343,
                0.9993736658272439,
                0.9998204719697386,
                0.9995694428595177,
                0.9995121427650758,
                0.9999251537727529,
                0.9982992778702209,
                0.9999038975392132
            ],
            [
                0.999925153772784,
                0.999959936317373,
                0.9999687980997979,
                0.9999417087205841,
                0.9999785550490315,
                0.9999724642957817,
                0.9999339478553573,
                0.9999785550413632,
                0.9999756997650621,
                0.9999785550592574
            ],
            [
                0.99979657309939,
                0.9997388097218056,
                0.9997694933121257,
                0.9998204720125913,
                0.9995694428600688,
                0.9997040428667765,
                0.9999251537905887,
                0.9990889487640086,
                0.9998766054545734,
                0.9984988178666333
            ],
            [
                0.999948557786366,
                0.9999910603036969,
                0.999941708741448,
                0.9999724643121942,
                0.9999687980997938,
                0.9999957771675624,
                0.9999957771675624,
                0.9999885212305063,
                0.9999724642990605,
                0.9999852610162727
            ],
            [
                0.9947798736438763,
                0.9993736658979271,
                0.9995694428635759,
                0.9997040428305244,
                0.9984988180744607,
                0.9988304894602453,
                0.999796572930092,
                0.9986749778583796,
                0.9997965730754879,
                0.999738809598448
            ],
            [
                0.9959298615083036,
                0.9995121429399445,
                0.9875683511934902,
                0.9993736659724722,
                0.9971990729041166,
                0.9964063979204637,
                0.9964063979079583,
                0.9989677691587959,
                0.9933071486268324,
                0.9924227591768542
            ],
            [
                7.338211554725124e-07,
                5.715003789017068e-07,
                8.315280276580819e-07,
                9.422450431954847e-07,
                7.338207180864763e-07,
                9.422448185435711e-07,
                2.2603248367358324e-06,
                7.338212429420757e-07,
                1.6373772528581146e-07,
                5.71500378896509e-07
            ],
            [
                0.9999756997592771,
                0.9995121429411367,
                0.9999151889789345,
                0.9999251537995218,
                0.9999869928761876,
                0.999975699762166,
                0.9999546021476109,
                0.999972464312183,
                0.9998911031167291,
                0.9999599363221485
            ],
            [
                0.9994472213244222,
                0.9999785550464791,
                0.9999832985821392,
                0.999876605395702,
                0.999964643736646,
                0.999841563839848,
                0.9996646499699592,
                0.9999599363221524,
                0.9999151889283289,
                0.9998204719699371
            ],
            [
                1.5534971989809095e-06,
                1.7603438428460541e-06,
                1.3709576971160984e-06,
                2.260324028351814e-06,
                1.2098662603961589e-06,
                1.994729483666479e-06,
                2.2603242977802297e-06,
                6.475950297942253e-07,
                9.422447062150634e-07,
                1.7603434231241496e-06
            ],
            [
                0.9998911030908354,
                0.9999687980811913,
                0.9999885212359798,
                0.9998601778760724,
                0.999903897550667,
                0.999978555041362,
                0.9999756997534777,
                0.999876605381012,
                0.999915188958662,
                0.9998766054692795
            ],
            [
                0.9999151889688017,
                0.9999339478317386,
                0.9997040429022191,
                0.9999810748540188,
                0.9999724643154743,
                0.9999885212318746,
                0.999925153772803,
                0.9999485578047577,
                0.9999687980886335,
                0.9999546021205543
            ],
            [
                0.9999910603004994,
                0.9999810748427379,
                0.999983298574178,
                0.9999852610197874,
                0.9999852610145168,
                0.999995777166052,
                0.9999869928653345,
                0.999996273360716,
                0.9999952149060758,
                0.9999945777823231
            ],
            [
                3.72664017246987e-06,
                4.222833444429485e-06,
                1.7603438428188364e-06,
                1.553497754577351e-06,
                5.043474081993875e-07,
                3.2887478892055875e-06,
                1.553497754577351e-06,
                1.3709573702778664e-06,
                5.715007195431641e-07,
                1.55349775456958e-06
            ],
            [
                3.288750633518874e-06,
                9.422449308748773e-07,
                3.2887498494282754e-06,
                9.422450431954847e-07,
                5.715004470295662e-07,
                1.2098652508287273e-06,
                5.043476486883855e-07,
                7.338207180864763e-07,
                5.715007195431641e-07,
                4.4508510499737865e-07
            ],
            [
                0.9999910603026306,
                0.9999832985821384,
                0.9999646437450858,
                0.9999898700078131,
                0.9999724643121868,
                0.9999546021476186,
                0.9999339478632352,
                0.9999687980774709,
                0.9999921107402363,
                0.9999646437408665
            ],
            [
                1.7603438428564603e-06,
                7.338208055664991e-07,
                1.5534971989907999e-06,
                8.315277302841894e-07,
                1.2098653950551882e-06,
                9.4224425692559e-07,
                4.450852111135988e-07,
                1.7603425837791042e-06,
                8.315278294038928e-07,
                5.715006514105942e-07
            ],
            [
                2.2603234894745224e-06,
                1.3709572068354007e-06,
                1.9947299592824403e-06,
                1.2098653950551882e-06,
                2.5612816000145246e-06,
                3.7266401724291984e-06,
                1.994729483694599e-06,
                6.962254589433702e-06,
                1.99473067264854e-06,
                4.785096776303374e-06
            ],
            [
                0.9999852610145165,
                0.9999832985741761,
                0.9999485577802376,
                0.9999724642990576,
                0.9999756997563736,
                0.9999785550515903,
                0.9999339478317237,
                0.9999339478396708,
                0.9999810748517607,
                0.9999417087066884
            ],
            [
                1.55349775456958e-06,
                1.7603430034743913e-06,
                4.785096205830278e-06,
                2.561283431986506e-06,
                1.9947299592570416e-06,
                1.7603425837494853e-06,
                4.785094494672519e-06,
                1.3709568799760888e-06,
                2.260324028372372e-06,
                2.561283431986506e-06
            ],
            [
                0.999964643732451,
                0.9999885212318756,
                0.9999599362982708,
                0.9999417087553356,
                0.9999724643121858,
                0.9999646437408665,
                0.9999852610127579,
                0.9999910603015649,
                0.9999910603015649,
                0.9996646497320909
            ],
            [
                0.9999832985761651,
                0.9999251537996058,
                0.9999724643154692,
                0.9999339478710831,
                0.9999151889182842,
                0.9999546021097344,
                0.9998415638210723,
                0.9999756997679626,
                0.9999687980774796,
                0.9999938558268628
            ],
            [
                0.9978172837356873,
                0.8354835432479661,
                0.9924227592433862,
                0.9964063967374519,
                0.9980732656165091,
                0.9984988177022559,
                0.9984988179179357,
                0.9971990726856108,
                0.9964063967741343,
                0.9992903296205894
            ],
            [
                0.9999724643187513,
                0.9999810748585312,
                0.9999910603015649,
                0.9999962733616045,
                0.9999687980811937,
                0.999968798081195,
                0.9999967112517189,
                0.9999930377412609,
                0.9999945777816768,
                0.999995777166052
            ],
            [
                0.9998204720126904,
                0.9999687980774743,
                0.9998204720769719,
                0.9999339478317756,
                0.9999785550567057,
                0.9999852610162727,
                0.9999756997476907,
                0.9996200154259834,
                0.9999687980997926,
                0.9999687980886374
            ],
            [
                0.9999898700078136,
                0.9999945777797375,
                0.9999869928746383,
                0.999986992869987,
                0.9999869928761888,
                0.9999724642957772,
                0.9999952149055054,
                0.9999921107364742,
                0.9999930377429208,
                0.9999952149055054
            ],
            [
                0.9999885212277695,
                0.9999756997505788,
                0.9999599362934845,
                0.9999546021475986,
                0.9999339478789658,
                0.9999417087414205,
                0.999985261018029,
                0.9999687980923492,
                0.9999724643154672,
                0.9999938558239332
            ],
            [
                1.2098656835136636e-06,
                9.422443692489024e-07,
                6.475946438022905e-07,
                1.7603436330179102e-06,
                8.315283250371857e-07,
                3.2887482812745586e-06,
                6.475950297993789e-07,
                7.889264466639056e-06,
                1.553497384196656e-06,
                2.260323489490968e-06
            ],
            [
                0.9999485577863566,
                0.9999546021151355,
                0.9998911030389482,
                0.9997965729783995,
                0.9999687980886264,
                0.9999885212359804,
                0.9999485577986111,
                0.999968798081189,
                0.9999599362982922,
                0.9999687980997877
            ],
            [
                0.9914225157742707,
                0.9959298618782717,
                0.9968273172532408,
                0.9820137912551845,
                0.9986749776753701,
                0.9978172832453275,
                0.9992903297080182,
                0.9971990727916121,
                0.9999251537638628,
                0.9995121428254184
            ],
            [
                0.999954602147594,
                0.9999756997534794,
                0.9999151889788636,
                0.9999151889384845,
                0.999933947855328,
                0.9999810748517594,
                0.9999417087275736,
                0.9999417087136402,
                0.9999599363125955,
                0.999975699767961
            ],
            [
                1.0677033791583005e-06,
                9.422443692527585e-07,
                2.561281600049467e-06,
                2.2603242978377903e-06,
                2.5612828213352452e-06,
                2.5612828213352452e-06,
                2.902311985146426e-06,
                2.260324028404236e-06,
                7.338213304343413e-07,
                4.22283394786293e-06
            ],
            [
                0.999796573050908,
                0.9999417087345043,
                0.9999599363126054,
                0.9998766053957809,
                0.9993736659719258,
                0.9996200155591827,
                0.9998911030389356,
                0.9997388097846623,
                0.9986749773849886,
                0.9999485577679644
            ],
            [
                1.2098656835136636e-06,
                1.0677031245953668e-06,
                1.99472924590571e-06,
                1.2098662604192665e-06,
                5.043472879525233e-07,
                8.315284241597959e-07,
                1.9947301970587145e-06,
                1.3709568799823232e-06,
                1.7603438428660665e-06,
                1.3709576971316842e-06
            ],
            [
                0.999991060300499,
                0.9999646437577183,
                0.9999038975965026,
                0.9999885212305063,
                0.9997040429712185,
                0.9996646499709837,
                0.9999724643089016,
                0.999975699753474,
                0.9998766054103759,
                0.9999687980811879
            ],
            [
                0.9999974387184,
                0.999992110740236,
                0.9999930377445804,
                0.9999938558246657,
                0.9999962733620487,
                0.9999986290427931,
                0.9999984465022455,
                0.9999980052700407,
                0.9999957771660523,
                0.9999724643121848
            ],
            [
                5.043475885657239e-07,
                1.3709573702566696e-06,
                7.338208055579897e-07,
                2.260324297853209e-06,
                1.4738976697229395e-05,
                9.422450431954847e-07,
                6.962253759486771e-06,
                3.9278624708775595e-07,
                7.338212429464139e-07,
                1.5534979397592542e-06
            ],
            [
                0.9999339478474948,
                0.9996200154694398,
                0.9999756997621686,
                0.9999038975392831,
                0.9999151889688264,
                0.9999687980849195,
                0.9999485578047708,
                0.9999930377429207,
                0.9998415637644547,
                0.99997246431547
            ],
            [
                0.9953904274317638,
                0.9953904283675966,
                0.9990889488752175,
                0.9971990726856108,
                0.9988304898635907,
                0.9993736657489823,
                0.9990889487704724,
                0.9964063975819839,
                0.9978172831373163,
                0.9989677689203897
            ],
            [
                0.9998601779425421,
                0.999876605425161,
                0.9999756997563714,
                0.9999038976080066,
                0.9999417087205764,
                0.9998415637453423,
                0.9998601779426236,
                0.999933947878971,
                0.9998601779092757,
                0.9999599363173749
            ],
            [
                9.422447062150634e-07,
                6.962253759670401e-06,
                6.475950297942253e-07,
                6.475948753991907e-07,
                1.0677027427525368e-06,
                6.9622579095833456e-06,
                1.3709567165087443e-06,
                3.2887494572873306e-06,
                9.422444815679433e-07,
                1.7603427936183298e-06
            ],
            [
                8.315279285205827e-07,
                4.222832941111319e-06,
                5.04347408197782e-07,
                5.043472278280699e-07,
                2.1024331597262577e-07,
                1.3709568799760888e-06,
                5.715007195431641e-07,
                1.0677027427413698e-06,
                7.338210679979539e-07,
                8.315278294038928e-07
            ],
            [
                4.450852111120808e-07,
                4.450851580566494e-07,
                1.2098653950656417e-06,
                4.450852111148132e-07,
                5.043475885674441e-07,
                3.927860597945825e-07,
                3.927860597945825e-07,
                2.3823696679230424e-07,
                7.338211554783522e-07,
                4.4508526417298334e-07
            ],
            [
                0.9991959139618122,
                0.998674977688002,
                0.9998766054692634,
                0.9999151889182282,
                0.9999339478553779,
                0.9998415637643762,
                0.9998766054251933,
                0.9998766054693442,
                0.9999038975621606,
                0.9998601779594724
            ],
            [
                3.2887486729876365e-06,
                1.7603436329978976e-06,
                1.994729008105057e-06,
                3.2887490652810324e-06,
                2.260323758713745e-06,
                2.561282210618905e-06,
                2.2603242978377903e-06,
                4.785092782936557e-06,
                6.962257909412379e-06,
                7.889262582800945e-06
            ],
            [
                0.9999957771645418,
                0.9999938558224684,
                0.9999869928684348,
                0.9999910603068933,
                0.9999910603047617,
                0.9999885212359796,
                0.9999646437408634,
                0.9999921107402361,
                0.9999687980774743,
                0.9999952149037942
            ],
            [
                0.9998766053809959,
                0.9998911030388706,
                0.9999251537727715,
                0.999968798081189,
                0.9986749775433504,
                0.9999687980997926,
                0.9999038975736242,
                0.9999785550515911,
                0.9996200155622891,
                0.9999687980997913
            ],
            [
                0.9999869928761915,
                0.9999885212318752,
                0.9999952149043648,
                0.9999938558239337,
                0.9999785550567065,
                0.9999646437450808,
                0.9999785550541448,
                0.9999485577741123,
                0.9999785550541436,
                0.9999785550490328
            ],
            [
                2.26032402841657e-06,
                3.05902190458764e-07,
                2.2603245673155757e-06,
                3.927862470890063e-07,
                5.04347408197782e-07,
                3.927860597945825e-07,
                1.994730197071414e-06,
                2.2603253756874524e-06,
                9.422450431989127e-07,
                3.726638839806038e-06
            ],
            [
                0.9999599363125918,
                0.9997694933400741,
                0.9998415638021121,
                0.9998766054251126,
                0.9999546021367883,
                0.9999339478789513,
                0.999620015561261,
                0.9998601778760113,
                0.9999339478317487,
                0.999954602142233
            ],
            [
                0.9997388096289986,
                0.9996200155153504,
                0.9996646498504494,
                0.9999852610145148,
                0.9998911030518111,
                0.9999151889283764,
                0.9994472213864555,
                0.9999646437324287,
                0.9997965730751475,
                0.9998766054397883
            ],
            [
                0.9999910602994335,
                0.9999151889586775,
                0.9999151889587429,
                0.9999339478474694,
                0.99998987000419,
                0.9999646437450808,
                0.9999417087205654,
                0.9999930377420904,
                0.9999599363125883,
                0.999959936298279
            ],
            [
                0.9999724643154654,
                0.9997040430064716,
                0.9999687980774743,
                0.9998766054251772,
                0.99994170874838,
                0.9999785550464746,
                0.9999724643056193,
                0.9999251537906257,
                0.9999687980811988,
                0.9998766053810748
            ],
            [
                0.9992903295448425,
                0.9995121429394904,
                0.9984988178797207,
                0.9997040429358706,
                0.9999251537905887,
                0.9968273170220256,
                0.9997040430069108,
                0.9986749776992475,
                0.9994472213910218,
                0.9996200155603987
            ],
            [
                0.9999417087553318,
                0.9999869928730875,
                0.9999485577925209,
                0.9999756997476837,
                0.9998766054399318,
                0.9999251537995594,
                0.9998601779760528,
                0.9999646437450841,
                0.9999251537727775,
                0.9999038976194913
            ],
            [
                0.9994472214537946,
                0.9997388096285806,
                0.9995121429432937,
                0.999796573002639,
                0.9998204720338529,
                0.9997388097222843,
                0.9984988180570108,
                0.9999724643023399,
                0.9998911030907103,
                0.9998204720555091
            ],
            [
                0.9999687980774756,
                0.9999869928746395,
                0.9999687980849129,
                0.9999038975621508,
                0.9999151889586775,
                0.9997040429016766,
                0.9998911030778838,
                0.9999546021097218,
                0.9999485577618593,
                0.9999038975507264
            ],
            [
                2.561282210618905e-06,
                7.338207180761315e-07,
                7.338213304283347e-07,
                2.902312677060767e-06,
                2.902311293147782e-06,
                6.475949525981759e-07,
                1.5534979397677313e-06,
                1.553498495338299e-06,
                4.4508494582314646e-07,
                4.2228349546493465e-06
            ],
            [
                0.9997388096599065,
                0.9984988180613733,
                0.999972464312183,
                0.9996200154714738,
                0.9999038975621907,
                0.9995694429615251,
                0.9996646497702103,
                0.9997388097841076,
                0.9997040429356038,
                0.999704042936749
            ],
            [
                0.9999938558246656,
                0.9999646437450794,
                0.999959936298269,
                0.9999724643089025,
                0.9999687980997889,
                0.9997965730027693,
                0.9999546021313669,
                0.9999417087414566,
                0.9999038975392426,
                0.9998911030908624
            ],
            [
                5.422220261544064e-06,
                1.5534973841705173e-06,
                1.2098662604192665e-06,
                2.902311985079115e-06,
                2.9023119851266288e-06,
                2.9023109471452223e-06,
                1.2098662604049616e-06,
                4.78509506499309e-06,
                4.785093353626844e-06,
                2.561282515853595e-06
            ],
            [
                8.31528424151477e-07,
                1.0677028700266676e-06,
                3.4663249714325014e-07,
                7.3382080556433e-07,
                2.2603248367512505e-06,
                7.338213304283347e-07,
                2.382369383923073e-07,
                5.715004470272272e-07,
                2.382368815916736e-07,
                1.2098652508056196e-06
            ],
            [
                0.9993736657503304,
                0.9986749778354264,
                0.9992903294472179,
                0.990291523509572,
                0.9992903294513871,
                0.9989677688038274,
                0.9968273169542811,
                0.99908894887686,
                0.9984988178720428,
                0.99883048976935
            ],
            [
                0.999985261016273,
                0.9996646499712081,
                0.9998204720554438,
                0.9995694430127166,
                0.9999687980960759,
                0.9997694933677074,
                0.9999339478553524,
                0.9997694932575167,
                0.9999546021097371,
                0.9996200155613383
            ],
            [
                0.06008665311947338,
                0.8807970748488297,
                0.992422759859684,
                0.4378234991142019,
                0.991422514039816,
                0.24508501313237172,
                0.4378234991142019,
                0.9399133536130196,
                0.9740426418603166,
                0.9706877674467155
            ],
            [
                0.999796573051423,
                0.9998415637455474,
                0.9998601779093572,
                0.9999038975965423,
                0.9995694428588788,
                0.9998766053957971,
                0.9999417087344686,
                0.9999485577802376,
                0.9999038975736445,
                0.9999339478238412
            ],
            [
                0.999373665902372,
                0.9996200155606088,
                0.9993736659717071,
                0.9997388096599065,
                0.9996646500108106,
                0.9986749773755916,
                0.9996200154261381,
                0.9986749773688134,
                0.9992903297145403,
                0.9980732656380006
            ],
            [
                0.9999832985801475,
                0.9999898700066062,
                0.999989870005398,
                0.9999962733611601,
                0.9999921107364745,
                0.9999599363078162,
                0.9999832985801506,
                0.9999485577863858,
                0.9999832985721844,
                0.9999687980811924
            ],
            [
                0.9982992778884049,
                0.9978172834395445,
                0.9997965730270532,
                0.9997040428317042,
                0.999373665822981,
                0.9959298614290248,
                0.9986749778361966,
                0.9994472213893174,
                0.9998766053662896,
                0.990291525774919
            ],
            [
                0.9995121427642527,
                0.9998415637643255,
                0.9992903295351008,
                0.9999687980886298,
                0.9996200155149193,
                0.9914225161148258,
                0.9995694430140066,
                0.9996200155598238,
                0.9993736659075457,
                0.9994472214522832
            ],
            [
                2.561281600049467e-06,
                5.043476486883855e-07,
                2.260325375677174e-06,
                3.927862002663297e-07,
                9.422448185510695e-07,
                1.7603425837494853e-06,
                4.4508510499737865e-07,
                3.0590226339137693e-07,
                9.422444815765128e-07,
                7.338209805200689e-07
            ],
            [
                0.9999646437577242,
                0.9999756997592703,
                0.9999785550541467,
                0.9999599363125995,
                0.999989870009021,
                0.999972464312192,
                0.999991060305828,
                0.9999038975850585,
                0.9999938558261311,
                0.9998911031167418
            ],
            [
                0.9996200154268013,
                0.999820472055611,
                0.9998204720555091,
                0.9994472212601381,
                0.9999898700090204,
                0.9998204720126225,
                0.9997694931756702,
                0.999195914056514,
                0.9999038976080269,
                0.9998766054252095
            ],
            [
                0.9993736658297944,
                0.9999485577618238,
                0.9999485577618628,
                0.9993736659711606,
                0.9998204720125913,
                0.9999038976080066,
                0.9999339478474948,
                0.9998204720770738,
                0.9997040429009619,
                0.9999687980886276
            ],
            [
                0.9999485577618593,
                0.9999038975621404,
                0.9999599363078321,
                0.9995121429388943,
                0.9998911030649195,
                0.9999898700114365,
                0.9999546021097148,
                0.9999417087136521,
                0.9995694430156976,
                0.9998601779759897
            ],
            [
                0.9993736658216329,
                0.9978172831900541,
                0.9968273168048011,
                0.9991959142381076,
                0.9982992774968535,
                0.9978172831576002,
                0.99752737691917,
                0.9995121428799708,
                0.9953904277308884,
                0.9947798746691597
            ],
            [
                1.5534975693869924e-06,
                1.2098656835136636e-06,
                1.2098655392871682e-06,
                1.3709570434178922e-06,
                1.209865539274514e-06,
                2.2603245673155757e-06,
                1.370957860567974e-06,
                3.288748673319648e-06,
                1.3709573702722555e-06,
                1.2098652508144226e-06
            ],
            [
                0.9998601778927158,
                0.9999151889182282,
                0.9990889487831881,
                0.9997040428306192,
                0.9992903294546068,
                0.9999251537995099,
                0.9998204720339836,
                0.9990889486665749,
                0.9999339478395871,
                0.9984988180603264
            ],
            [
                0.9999485577925007,
                0.9999832985761665,
                0.9999852610197855,
                0.9999546021151283,
                0.9999910603047617,
                0.9999599363221504,
                0.9999485577679709,
                0.9999810748585282,
                0.9999485577925075,
                0.9998415637266403
            ],
            [
                6.475949525981759e-07,
                1.0677028699955933e-06,
                6.475947981904966e-07,
                8.315283250150648e-07,
                1.2098659719232413e-06,
                1.5534984953199313e-06,
                1.7603438428028262e-06,
                1.3709570433885908e-06,
                5.043475284430694e-07,
                3.726639728262097e-06
            ],
            [
                0.9999869928746383,
                0.9999785550567043,
                0.9998601779260209,
                0.9999852610162724,
                0.9999970976873229,
                0.9999938558275957,
                0.999978555041368,
                0.9999646437450841,
                0.9999687980737552,
                0.9999756997476854
            ],
            [
                0.9999251537995099,
                0.9999646437577183,
                0.999972464315472,
                0.9999938558246658,
                0.9999810748562726,
                0.9999810748562722,
                0.9999962733598274,
                0.9999869928761876,
                0.9999832985701931,
                0.9999339478474795
            ],
            [
                0.999959936317373,
                0.9999485577924977,
                0.9998415637642725,
                0.9999339478789513,
                0.9999339478396017,
                0.9996200154251874,
                0.9999485577802313,
                0.9997388097849434,
                0.9999599363173656,
                0.9999646437535114
            ],
            [
                0.9999485578047611,
                0.9998911030388452,
                0.9997040427945652,
                0.9992903296208372,
                0.99956944285943,
                0.9999339478395824,
                0.9995694430127166,
                0.9997694932295716,
                0.999373665899275,
                0.9997388096289986
            ],
            [
                3.059022269250683e-07,
                9.422449308748773e-07,
                3.927862939136532e-07,
                1.3709576971379186e-06,
                2.2603242978377903e-06,
                1.3709578605455302e-06,
                1.2098661161927025e-06,
                5.043474081993875e-07,
                9.422443692489024e-07,
                4.4508510499737865e-07
            ],
            [
                0.9999251537638378,
                0.9998415638209662,
                0.9999485577618268,
                0.9998766053957486,
                0.9997694931753348,
                0.9999485577924913,
                0.9998766054399983,
                0.9996646498098323,
                0.9990889487635847,
                0.9997965729539883
            ],
            [
                0.9999687980923492,
                0.9999785550439183,
                0.9999898700053976,
                0.9999810748562713,
                0.99998329858413,
                0.9999832985761654,
                0.9999832985801492,
                0.9999785550567005,
                0.9999810748495034,
                0.9999832985761646
            ],
            [
                0.9992903296210848,
                0.9997694933121257,
                0.999972464312183,
                0.9999339478789758,
                0.9996200155163675,
                0.9999417087205654,
                0.9999038975850886,
                0.9997965729295829,
                0.9991959140536613,
                0.999891103064765
            ],
            [
                0.9999832985721839,
                0.9998766054398044,
                0.9999921107374157,
                0.9998766054547905,
                0.9999785550464778,
                0.9999687980849142,
                0.9999852610110015,
                0.9999251537460401,
                0.9999810748517628,
                0.9999885212264018
            ],
            [
                3.9278638755671223e-07,
                3.0590237279032884e-07,
                7.338208930421943e-07,
                1.0677032518748838e-06,
                1.3709567165461505e-06,
                1.9947306726594253e-06,
                1.5534979397592542e-06,
                2.260325375650449e-06,
                1.0677033791495609e-06,
                1.209865250822125e-06
            ],
            [
                7.338212429562581e-07,
                2.1024326584680133e-07,
                1.0677031245783732e-06,
                5.715007195431641e-07,
                7.338211554758494e-07,
                1.2098659719716573e-06,
                7.338210679979539e-07,
                6.47594566597747e-07,
                1.855391460719133e-07,
                2.2603234893861252e-06
            ],
            [
                1.994729245917502e-06,
                6.475950297993789e-07,
                1.3709568799879344e-06,
                2.9023119851635836e-06,
                5.422220262505697e-06,
                8.315282259089153e-07,
                1.0677031245953668e-06,
                8.315277302788957e-07,
                1.0677032518748838e-06,
                1.994730672668496e-06
            ],
            [
                0.9998601779260615,
                0.9986749772680656,
                0.9999832985761661,
                0.9998204720553759,
                0.9998911030908354,
                0.9997694932031357,
                0.9998766053958636,
                0.9998911030907847,
                0.9992903297036013,
                0.9993736657503304
            ],
            [
                5.043474683220276e-07,
                2.699577130957872e-07,
                1.209865683518615e-06,
                6.475951069985296e-07,
                1.7603436330091044e-06,
                1.0677028700363782e-06,
                1.3709573702722555e-06,
                1.553497754577351e-06,
                8.315281267834927e-07,
                2.902312331081799e-06
            ],
            [
                0.9999869928715376,
                0.9999957771655488,
                0.9999970976883608,
                0.9999869928730871,
                0.9999982396574162,
                0.9999646437408619,
                0.9999885212305063,
                0.9999898700078154,
                0.9999724642990556,
                0.9999938558239332
            ],
            [
                2.561282516042282e-06,
                9.422443692527585e-07,
                1.3709575336654889e-06,
                5.715005832872586e-07,
                7.338212429562581e-07,
                2.9023116391477434e-06,
                1.3709570434178922e-06,
                6.475948754012522e-07,
                1.2098653950606901e-06,
                9.422442569290178e-07
            ],
            [
                0.9999546021313694,
                0.9999869928730869,
                0.999988521229138,
                0.999975699756372,
                0.9999869928699853,
                0.9999485577679585,
                0.9999869928746377,
                0.9999885212305063,
                0.9999785550541442,
                0.9999898700066052
            ],
            [
                0.9997388097531997,
                0.999447221385555,
                0.9991959140482831,
                0.9996200154709542,
                0.9997965730994728,
                0.9993736657485816,
                0.9959298616762995,
                0.9994472214530228,
                0.9997040428664148,
                0.9999599363126013
            ],
            [
                0.999983298574177,
                0.9999785550439229,
                0.9999251537727649,
                0.999994577782323,
                0.9999967112505427,
                0.9999984465026158,
                0.999964643757734,
                0.9999945777823231,
                0.9999724643056241,
                0.999975699747687
            ],
            [
                0.999978555051593,
                0.9999599363126013,
                0.9999921107383553,
                0.9999417087136402,
                0.9999967112509348,
                0.9999485577924947,
                0.9999921107383561,
                0.9999810748495063,
                0.9999962733616046,
                0.9999869928684358
            ],
            [
                2.9023116391477434e-06,
                1.6701421842566163e-05,
                4.785095064819011e-06,
                3.7266388396975786e-06,
                2.5612816000145246e-06,
                6.96225956837018e-06,
                5.422217030614265e-06,
                4.785095064523075e-06,
                1.994729483680993e-06,
                2.2603234894745224e-06
            ],
            [
                1.3709576971379186e-06,
                2.260324297853209e-06,
                7.338210679979539e-07,
                1.3709573702722555e-06,
                3.288750241473551e-06,
                1.0677027427471959e-06,
                5.422218969532895e-06,
                1.5534983101393749e-06,
                1.2098659719716573e-06,
                2.2603234895053587e-06
            ],
            [
                0.9993736659715249,
                0.989013057015208,
                0.997199073243581,
                0.995390427722342,
                0.985936371859101,
                0.9840936073551713,
                0.996406397039249,
                0.9984988178666333,
                0.9964063966874301,
                0.9840936097751763
            ],
            [
                3.2887482812506295e-06,
                8.93969736955767e-06,
                1.670142980608093e-05,
                4.78509392429544e-06,
                2.5612831266608576e-06,
                4.0063706481032684e-05,
                1.6701421843720577e-05,
                2.260325375634003e-06,
                7.484623600430327e-05,
                2.4300237825230942e-05
            ],
            [
                1.0677028700363782e-06,
                1.994729721469003e-06,
                1.2098652508347793e-06,
                2.561281600049467e-06,
                1.370957860567974e-06,
                1.994730197071414e-06,
                9.422443692489024e-07,
                1.5534975693792215e-06,
                1.5534979397740895e-06,
                1.994729483705484e-06
            ],
            [
                1.5534979397592542e-06,
                1.2098652508144226e-06,
                1.7603436330179102e-06,
                1.3709573702722555e-06,
                5.043476486915964e-07,
                1.760344052714248e-06,
                3.9278615344178325e-07,
                1.0677032518748838e-06,
                5.043474683204221e-07,
                9.422444815765128e-07
            ],
            [
                3.7266379513162962e-06,
                9.422443692446175e-07,
                4.4508494582314646e-07,
                1.0677024881941248e-06,
                5.043475284447896e-07,
                1.3709575337078829e-06,
                1.0677026154730804e-06,
                1.3709570434054234e-06,
                1.7603427936079236e-06,
                1.0677028700203557e-06
            ],
            [
                0.9669140243523636,
                1.1478773597118638e-05,
                1.300712691308661e-05,
                2.7535691088138193e-05,
                1.1478769492392108e-05,
                1.994729721482609e-06,
                5.4222183231674305e-06,
                2.902311293147782e-06,
                4.006367783047594e-05,
                7.88926634687567e-06
            ],
            [
                0.9999546021151355,
                0.9992903296215802,
                0.9998911031297076,
                0.9999546021259533,
                0.9999646437450841,
                0.9999869928746374,
                0.9999038975506963,
                0.9999038976079275,
                0.9999151889789185,
                0.9999646437366552
            ],
            [
                1.2098655392871682e-06,
                5.715005151574337e-07,
                2.9023133690425823e-06,
                1.553497384196656e-06,
                7.338209805200689e-07,
                1.7603425837494853e-06,
                4.222833444383398e-06,
                8.315284241597959e-07,
                1.7603436330091044e-06,
                2.260324028404236e-06
            ],
            [
                0.9999151889183183,
                0.9998911030390022,
                0.9999952149072165,
                0.9999687980997866,
                0.9999038975392426,
                0.999985261016273,
                0.9999687980774743,
                0.9999885212305059,
                0.9999898700078136,
                0.9999832985741748
            ],
            [
                0.9989677689163081,
                0.9988304898661745,
                0.9994472214537946,
                0.9988304895873956,
                0.9984988180570108,
                0.9999546021421849,
                0.9947798753486518,
                0.9984988178884456,
                0.9964063971559662,
                0.9993736658952308
            ],
            [
                0.9999151889485539,
                0.999941708741432,
                0.9997388097223529,
                0.9998601779592853,
                0.9999485578047429,
                0.999796572954595,
                0.9997965730761124,
                0.9995121428232897,
                0.9997040429015819,
                0.9998204720127558
            ],
            [
                9.422447062240614e-07,
                1.5534983101478522e-06,
                1.3709573702778664e-06,
                2.902310947208574e-06,
                6.475948754012522e-07,
                2.5612834320214477e-06,
                2.2603234895289998e-06,
                3.2887486733420804e-06,
                1.7603434231505666e-06,
                2.9023116391477434e-06
            ],
            [
                0.9975273772327263,
                0.9978172839806138,
                0.998073265144145,
                0.9890130562764505,
                0.9994472213860052,
                0.9994472213207883,
                0.9993736657518971,
                0.9984988175218247,
                0.9978172837240242,
                0.9982992774814365
            ],
            [
                2.5612834319655406e-06,
                1.760342583722268e-06,
                1.3709576971242028e-06,
                5.043475284430694e-07,
                7.338208055613267e-07,
                1.994729721469003e-06,
                2.561282515988704e-06,
                7.338212429537553e-07,
                1.2098655392811161e-06,
                1.760343842833246e-06
            ],
            [
                0.9995121429386673,
                0.9971990735498794,
                0.9820137888206324,
                0.9991959140429518,
                0.9796676472880741,
                0.9859363746096915,
                0.999290329448415,
                0.9933071482491518,
                0.9324533140223228,
                0.9820137890180285
            ],
            [
                0.999915188968843,
                0.9999546021422393,
                0.9999756997476837,
                0.9999599362934953,
                0.9999417087205882,
                0.9999952149055052,
                0.9999810748449955,
                0.9999646437577242,
                0.9999756997650704,
                0.9999756997563743
            ],
            [
                0.9997965729542457,
                0.9999546021097317,
                0.9999546021313646,
                0.9999038976194108,
                0.9978172834882255,
                0.9997965730024289,
                0.9997694932023174,
                0.9999417087483762,
                0.9998204719910003,
                0.9999251537549112
            ]
        ]
    },
    {
        "q_id": "10401_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            74,
            75,
            76,
            77,
            78,
            79,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            93,
            95,
            96,
            97,
            98,
            99,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            111,
            112,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            73,
            80,
            88,
            94,
            100
        ],
        "rewards": [
            [
                0.9796676472138702,
                0.9999852610110026,
                3.726641060956752e-06,
                0.9999984465020603,
                0.9999339478395777,
                0.9999952149037941,
                0.9999785550541551,
                0.9999885212332553,
                0.9999910603058293,
                0.9999898700078163
            ],
            [
                0.9999852610110037,
                0.9999417087136402,
                0.9999945777803847,
                0.9999599363030465,
                0.99999844650169,
                0.9999945777797379,
                0.9999986290424663,
                0.9997965729303999,
                0.9996646498518251,
                0.999996273360716
            ],
            [
                0.9999869928715361,
                0.9999885212264015,
                0.9999982396561572,
                0.9999832985761651,
                0.9999852610215454,
                0.9999930377445804,
                0.9999967112501505,
                0.9964063971876467,
                0.9999724643056231,
                0.9999970976873229
            ],
            [
                0.9997040428314286,
                0.9999921107383551,
                0.9999646437450794,
                0.9999992661790196,
                0.999995214906076,
                0.9990889489889165,
                0.9999990577554062,
                0.9998911031038679,
                0.9999938558239333,
                0.9999938558275963
            ],
            [
                0.9999810748472489,
                0.9999930377429207,
                0.9999984465016899,
                0.9999989322973846,
                0.9999646437450891,
                0.9999938558268632,
                0.9999832985821384,
                0.9999962733593832,
                0.9999910603005003,
                0.9999987901346049
            ],
            [
                0.9999910603068937,
                0.9980732657745608,
                0.9998601779432869,
                0.9999984465022455,
                0.9999991684721706,
                0.9999417087348809,
                0.9940889298604383,
                0.9999967112521109,
                0.6791787056691698,
                0.9999996533673375
            ],
            [
                0.999986992876188,
                0.9999938558275955,
                0.9999832985821381,
                0.9999869928730863,
                0.9465966641739773,
                0.9999785550567023,
                0.0005527786621356017,
                0.9999898700041923,
                0.999998446502801,
                0.9999251537816921
            ],
            [
                0.9999785550515891,
                0.9933071493512362,
                0.9999646437366535,
                0.9999921107374146,
                0.9999898700102283,
                0.9999485577986525,
                0.9999910603058276,
                0.9999982396561572,
                0.9999952149055054,
                0.999998239656367
            ],
            [
                0.9999832985821414,
                4.53978740152776e-05,
                1.3007126904521862e-05,
                0.9999986290429567,
                0.999994577782323,
                0.000552778722303535,
                0.9999485577802313,
                0.9999885212277704,
                0.0007096702563993113,
                0.9999756997621686
            ],
            [
                0.9999930377462405,
                0.999998005269803,
                0.9999417087275401,
                0.9999997300421903,
                0.9998911030648404,
                0.9999898700090206,
                0.9999945777790913,
                0.9997388097235763,
                0.00026119036910144283,
                0.9999646437450794
            ],
            [
                0.9933071480355455,
                0.9999952149049353,
                0.0003353499801742999,
                0.9994472212618425,
                0.9980732657535171,
                0.9999921107355335,
                0.998830489462965,
                0.999998446502801,
                0.9999485577802613,
                0.9999991684715759
            ],
            [
                0.9999977396748938,
                4.222832941034507e-06,
                0.9324533102681761,
                0.9999687980886414,
                0.9999910603015658,
                1.1478772227964558e-05,
                0.999992110740238,
                0.9999339478475977,
                0.9999957771650455,
                0.9999485577804199
            ],
            [
                0.9984988180908636,
                0.9980732657176979,
                0.9975273766343277,
                0.999998239656367,
                0.9984988178612239,
                0.9999938558232009,
                0.999988521233243,
                0.9999974387168733,
                0.9924227603814361,
                0.9999980052702786
            ],
            [
                0.9999599363030631,
                0.9999417087275244,
                0.9999996072136125,
                0.9999339478789471,
                0.9997965729538639,
                0.9989677690698437,
                0.9999974387187053,
                1.0677032518748838e-06,
                9.610240311437907e-05,
                0.9999962733589389
            ],
            [
                0.999964643736673,
                0.9999967112521108,
                0.9984988178807677,
                0.9999810748427369,
                0.9999724643187882,
                0.9999485577802474,
                0.9999974387177893,
                0.9999987901343166,
                0.9999921107345937,
                0.9999980052705163
            ],
            [
                0.9940889303693874,
                0.9999810748585306,
                0.9999869928668849,
                0.9859363758493941,
                3.726639728224814e-06,
                0.99979657309939,
                0.9982992777255385,
                0.9999687980886298,
                0.9999945777810304,
                0.9999251537995464
            ],
            [
                5.422220908402905e-06,
                3.7266397280960194e-06,
                6.475948752722647e-07,
                5.422217030555087e-06,
                8.315283250006957e-07,
                2.5612831258711683e-06,
                0.00026119042160746277,
                2.90231336827709e-06,
                2.5612825159421147e-06,
                1.4738983725406915e-05
            ],
            [
                0.9999910603047619,
                0.9999810748472581,
                0.9999977396751639,
                0.9999994956524716,
                0.9999967112509347,
                0.9999982396559474,
                0.9998766053958151,
                0.9890130559829715,
                0.9999646437492953,
                0.9999967112501519
            ],
            [
                2.1444948325268055e-05,
                1.994729245749689e-06,
                5.1442195113940765e-05,
                1.4738988997768797e-05,
                7.889265404959923e-06,
                2.561283431627768e-06,
                1.6701421840318107e-05,
                5.422220261070644e-06,
                1.4738978455325741e-05,
                1.0129989767032304e-05
            ],
            [
                0.9999930377454106,
                0.9999945777829695,
                0.9999898700078138,
                0.9953904288974745,
                0.998674977386683,
                0.999997097687323,
                0.9999984465016899,
                0.9991959142495186,
                0.9999987901343165,
                0.9999957771660523
            ],
            [
                2.6995777745711594e-07,
                0.9999756997505945,
                2.2603242977555607e-06,
                0.9999938558275954,
                0.9971990733001584,
                0.9999967112517189,
                0.9999546021314016,
                3.288749064736654e-06,
                0.9999962733593832,
                0.9997965730276333
            ],
            [
                0.9997694933397523,
                0.999088948660853,
                0.9999986290424663,
                0.9998601779427456,
                0.9669140210154115,
                1.6701429804744246e-05,
                0.9999930377454103,
                0.9999724643023452,
                0.9999974387180947,
                0.9999898700126435
            ],
            [
                0.9999646437366521,
                0.99995460211518,
                0.7549149978955811,
                0.9999599363174034,
                0.9999251537728095,
                0.9998204720774264,
                0.946596664362296,
                0.9998601779097721,
                0.9995121428256455,
                0.9999339478239027
            ],
            [
                3.1201903879941626e-05,
                0.9999687980775851,
                0.9999995549151073,
                0.9947798752543451,
                0.9997694931765422,
                0.994779874374149,
                0.9993736659037565,
                4.539785780557527e-05,
                3.288750240564259e-06,
                0.9999974387187054
            ],
            [
                3.059021904543821e-07,
                3.726641061027928e-06,
                3.2887498493325602e-06,
                5.144223814063949e-05,
                0.999925153746088,
                7.889263524615903e-06,
                3.726639728184142e-06,
                8.9396930985075e-06,
                2.4300240703498875e-05,
                3.535623804983752e-05
            ],
            [
                0.9999986290427931,
                0.9953904280022372,
                0.9999921107364752,
                0.999915188958662,
                0.9999930377462403,
                0.9999970976890529,
                1.6701429807964442e-05,
                0.9999898700126436,
                0.9999898700041912,
                0.9875683517423194
            ],
            [
                0.9978172830881283,
                0.999997438716568,
                8.939694164159978e-06,
                1.147876538789672e-05,
                0.9940889322929959,
                0.9999938558261312,
                0.9975273770667598,
                2.561283431478682e-06,
                0.9999986290432835,
                0.9995694430180899
            ],
            [
                0.9890130550822945,
                0.9999339478789471,
                0.0003353501844893322,
                0.9999987901346049,
                0.9999546021259655,
                0.9978172832311288,
                0.9875683464369689,
                0.9996200154729662,
                0.9999485577986598,
                0.9999810748449924
            ],
            [
                1.892515274614874e-05,
                6.962258729228455e-06,
                1.9947292457750883e-06,
                1.9947290076932355e-06,
                2.5612819052654485e-06,
                4.785094494185095e-06,
                1.3007123808153756e-05,
                4.222835456696504e-06,
                2.5612822094169e-06,
                7.889261642578988e-06
            ],
            [
                0.9998601779269202,
                0.9999991684718732,
                0.9996646498166522,
                0.9999646437619467,
                0.9999599363173789,
                0.1192029173285386,
                0.999992110740236,
                0.9999687980886359,
                0.00023050674100771846,
                0.9902915217814611
            ],
            [
                0.9999967112493665,
                0.999796572930092,
                0.9999962733598274,
                0.9999910603047633,
                0.9999646437366521,
                0.9999970976873229,
                0.999999266178932,
                0.0003353501869480211,
                0.9997694933679824,
                0.9999910603015649
            ],
            [
                0.9999038975394235,
                0.9996646499751694,
                0.9999987901346051,
                0.9999989322972572,
                0.9999962733593831,
                0.9999994956525317,
                0.9999982396572064,
                0.9999417087484309,
                0.9999898700102313,
                0.9999991684717741
            ],
            [
                7.484622706027895e-05,
                0.9999980052695652,
                0.9999151889788945,
                0.9999785550439222,
                0.9999974387180947,
                0.9999869928761903,
                0.99992515374599,
                0.9999852610232999,
                0.9999980052702785,
                0.9999989322972572
            ],
            [
                1.5534984952111384e-06,
                0.9995694428604445,
                0.999569442913327,
                5.829125155557251e-05,
                1.1478764019996392e-05,
                0.9986749775649172,
                6.605216029987583e-05,
                0.9999832985841333,
                1.0129993393319151e-05,
                0.9999646437619484
            ],
            [
                0.9999832985821404,
                0.9986749777275924,
                0.9999756997592695,
                0.9999599363030465,
                0.9999921107392955,
                0.9999339478553472,
                0.9999546021205622,
                0.9999989322975118,
                0.9989677689412771,
                0.9999898700090208
            ],
            [
                0.9999989322967482,
                0.9999996940978461,
                0.9999995549150542,
                0.9991959141783403,
                3.535623805498234e-05,
                0.999704043007815,
                0.9999992661787571,
                0.9999339478395777,
                0.999992110733653,
                0.9999987901343166
            ],
            [
                0.9999992661787571,
                0.9999967112501507,
                0.9986749775313346,
                0.9999962733593832,
                0.9999921107392962,
                1.3007130010117919e-05,
                0.9999151889688017,
                0.9999930377412606,
                1.7603438427660027e-06,
                0.9999957771655494
            ],
            [
                0.9999974387180947,
                0.999860177942768,
                0.9999687980887109,
                0.999998790134605,
                0.9999832985701983,
                0.9999989322973846,
                0.9999989322972572,
                0.9999974387184,
                0.9999832985702045,
                0.9995694429144668
            ],
            [
                0.9999984465026164,
                0.9999687980886335,
                0.9999991684717741,
                0.999999266178932,
                0.999999266179107,
                0.999860177959389,
                0.9999339478476293,
                0.9999952149032239,
                0.9999724643154743,
                0.9999982396559474
            ],
            [
                0.9890130582903236,
                0.9999952149072167,
                0.9999952149060758,
                0.9999977396759716,
                0.9999898700102282,
                0.9999885212277816,
                0.9999869928653348,
                0.9999251537728298,
                0.9999980052707541,
                0.9999962733611601
            ],
            [
                1.2098656834613962e-06,
                0.9999756997650621,
                0.999738809753063,
                0.9999996533672136,
                0.9986749777077202,
                0.999994577780384,
                1.3007123808153756e-05,
                0.999975699767967,
                0.0001398221405892854,
                0.9997694933482971
            ],
            [
                0.9998911030651018,
                0.9999885212305071,
                0.9999251537639511,
                0.9999785550515924,
                0.9999982396569966,
                0.9999982396569966,
                0.9998601779623429,
                0.9999962733616047,
                0.9994472212667305,
                0.9999987901346049
            ],
            [
                0.9980732651280264,
                0.9999930377462405,
                0.999876605469328,
                0.9999957771675625,
                0.9997694932302659,
                0.9997040428307052,
                0.9984988180765546,
                0.46879062662624377,
                0.9997040427598373,
                0.9399133437246703
            ],
            [
                3.726639283901856e-06,
                0.9999974387187055,
                0.9999885212305062,
                0.9999930377429205,
                0.9999996940978095,
                0.9999810748495063,
                0.9959298614214744,
                0.9999990577555183,
                0.9999724643154776,
                0.999964643736649
            ],
            [
                0.9999952149055056,
                0.999992110738355,
                0.9999967112505427,
                0.9999967112509346,
                0.9999962733598278,
                0.9997965730041041,
                0.9959298627918659,
                0.9999974387180947,
                0.9999957771680658,
                0.9999038975392328
            ],
            [
                0.9999986290424663,
                0.9990889487700485,
                0.9999990577550691,
                0.9993736658297944,
                0.999999266179107,
                0.9999997617630333,
                0.9999852610162727,
                0.9999852610145148,
                0.9982992777073544,
                0.999995777166052
            ],
            [
                0.9999898700066057,
                0.9996646497711177,
                0.9999930377412606,
                1.1478772216710494e-05,
                0.9999921107345938,
                0.9999869928653338,
                0.9999938558275964,
                0.0006263342174614055,
                0.9988304897424239,
                0.9999982396569966
            ],
            [
                0.9999984465015047,
                0.9992903295571438,
                0.9859363698058428,
                0.9999986290432836,
                0.9999980052707541,
                0.9999977396746247,
                0.9999869928730875,
                0.0758581784543034,
                0.9999785550439179,
                0.9999992661792819
            ],
            [
                0.9964063980746971,
                4.450849458179853e-07,
                0.9953904274274905,
                0.999959936298269,
                3.5356250701614645e-05,
                0.999992110740236,
                5.715003107738556e-07,
                0.9959298614214745,
                0.9999898700078136,
                0.9999962733602717
            ],
            [
                0.9999810748585306,
                0.9999599362887123,
                0.999995777165549,
                0.9975273773303537,
                0.9999990577551814,
                0.999998446502801,
                0.9999987901347492,
                0.9999980052695652,
                0.9971990730744992,
                0.9999546021422242
            ],
            [
                3.535626333088765e-05,
                3.7266410607194972e-06,
                5.829126543170052e-05,
                4.5397863219323224e-05,
                3.5356259136692605e-05,
                6.14417606469958e-06,
                2.1444950965282096e-05,
                0.00013982202362176826,
                0.0007096703709483525,
                1.1478764019077695e-05
            ],
            [
                0.9999996533673375,
                0.9890130563574103,
                0.9999982396559474,
                0.9999417087275647,
                0.9999957771670589,
                0.9953904283633234,
                0.9986749775683063,
                0.9999980052700407,
                0.9999546021155741,
                0.9999996072138465
            ],
            [
                0.9999546021313646,
                0.9999599363221651,
                0.9998415638210976,
                0.9978172838305139,
                0.999978555056705,
                0.9998911031039787,
                0.9999724642957762,
                0.9999898700102283,
                0.9999832985801526,
                0.9999599363221628
            ],
            [
                2.7535704227537108e-05,
                4.222833444168322e-06,
                5.144220137700842e-05,
                3.5356242257020764e-05,
                NaN,
                1.3007128460419196e-05,
                7.889263523668778e-06,
                2.7535694366751658e-05,
                3.120191880504111e-05,
                1.4738978456398127e-05
            ],
            [
                0.9999869928653335,
                0.9968273172657589,
                1.8925141467059383e-05,
                0.9999038975621116,
                0.9859363702449043,
                0.9999546021313694,
                0.9999980052707541,
                0.9997388095973233,
                0.9999810748449939,
                0.9999980052709919
            ],
            [
                0.9999898700114362,
                0.9933071481593753,
                0.9999994956523514,
                0.9999687980811902,
                0.9999910603058276,
                0.9953904278227624,
                0.9999599362934916,
                0.9998766054253263,
                0.9999687980886287,
                0.9999687980960746
            ],
            [
                0.9999938558232011,
                0.9999992661790195,
                0.9999938558224687,
                0.999975699753483,
                0.9940889307497311,
                0.9999938558239332,
                0.9999974387177893,
                0.9999938558261307,
                0.999999352405279,
                0.9997694933402419
            ],
            [
                0.9999832985741829,
                0.9914225165187399,
                0.9999967112501505,
                0.9999989322966208,
                NaN,
                5.8291244578280495e-05,
                0.9999810748495053,
                0.999999352405279,
                0.9999251537727964,
                0.9999910603005017
            ],
            [
                0.999988521233244,
                1.5534971988495103e-06,
                0.9902915253809457,
                0.9999984465022455,
                0.998674977510538,
                0.9840936058390233,
                0.9999962733589393,
                0.9999756997476897,
                2.430023493052066e-05,
                0.9999952149043646
            ],
            [
                0.9999898700102325,
                0.9999994284994849,
                0.9999994284994167,
                0.9999994956526519,
                0.9999977396754328,
                0.9999995549147889,
                0.9999485577987275,
                0.9999996940977002,
                0.9999987901344607,
                0.9999995549150542
            ],
            [
                6.475950297942253e-07,
                0.9999810748517634,
                0.9999898700041902,
                0.9982992778897885,
                0.9999938558253983,
                9.610244908760198e-05,
                0.9996200154713965,
                0.9999977396759717,
                0.9999938558239335,
                0.9999832985701931
            ],
            [
                NaN,
                0.00017952794348530013,
                0.999992110740236,
                0.999997438716568,
                0.9999989322967482,
                4.53978848104088e-05,
                0.9999982396559473,
                0.9999989322972572,
                0.9999930377412616,
                0.2018132150593341
            ],
            [
                0.999995214904935,
                0.9996646499700762,
                0.9999991684717742,
                0.9997965730512038,
                0.00023050671243554784,
                0.9999967112521109,
                0.9999980052702785,
                0.9999977396751633,
                0.9999785550413659,
                0.9999957771665557
            ],
            [
                0.9999974387187055,
                0.9999898700126449,
                0.9997388097228543,
                0.10669059891633577,
                0.9999967112501507,
                0.999999814460854,
                0.996406396660752,
                0.9999930377462405,
                0.9999546021368043,
                0.9770226305917579
            ],
            [
                0.9999962733620488,
                0.9999970976883609,
                4.0063706494441236e-05,
                0.9999995549151073,
                0.9999987901338838,
                0.9997040427595703,
                0.9999810748562757,
                0.9999996072137061,
                0.9999910603036963,
                0.9914225137230205
            ],
            [
                0.9998601779760303,
                0.999975699759281,
                0.9999967112501504,
                0.9997965731000796,
                0.9999967112497585,
                0.9997040427610945,
                1.300712846115264e-05,
                0.9999832985841293,
                0.9465966675637141,
                0.9975273764453899
            ],
            [
                0.9999984465028012,
                0.9959298630051637,
                0.9999997617630616,
                0.9998601778592866,
                0.9995694430156976,
                0.9999921107336528,
                0.9999938558253988,
                0.9999977396751633,
                0.999968798077472,
                0.9998204720557833
            ],
            [
                0.9999962733607161,
                6.605212886590941e-05,
                0.9968273167532563,
                1.6701425822059825e-05,
                0.9999990577556308,
                0.9999599362934934,
                1.892515041750292e-05,
                0.9999977396759716,
                0.9999992661788445,
                0.9991959140769977
            ],
            [
                0.9999990577552937,
                0.9998911031169858,
                0.9998601779432869,
                0.999998239656367,
                0.999954602126169,
                0.9999977396765108,
                0.9998766053667745,
                0.9999646437450979,
                0.9999993524051246,
                0.9995121427977449
            ],
            [
                0.9999885212359809,
                0.9994472213265769,
                0.999933947878961,
                0.9999546021151483,
                0.9999038976196002,
                0.9933071475278437,
                0.9999885212332442,
                0.9980732650057937,
                0.9999930377445806,
                0.9982992777664528
            ],
            [
                0.9999984465028011,
                0.999998005269803,
                0.9999599363126283,
                0.9996200155662577,
                0.9999945777784449,
                0.9996646498135399,
                0.9999869928668841,
                0.9999756997650643,
                0.9998204720770398,
                0.9999852610162734
            ],
            [
                0.914900963114118,
                0.9999987901341723,
                0.9999957771655488,
                0.9999984465015047,
                0.9999810748540182,
                0.999569443013919,
                0.9902915222381121,
                0.999195914056514,
                0.9999930377429205,
                0.9999990577556308
            ],
            [
                0.9796676465460354,
                0.9999151889386529,
                0.9986749778747087,
                0.9999992661787571,
                0.9875683516051121,
                0.9999038975506866,
                0.9999994284994167,
                0.9997965729568443,
                0.9995694429165961,
                0.0021827166948354486
            ],
            [
                0.9999921107336528,
                0.9999992661792819,
                1.7603440526133836e-06,
                0.9999930377445803,
                0.999664649811647,
                0.9991959140603955,
                0.9988304894730283,
                0.9998204719487146,
                0.9998415637077608,
                0.99999893229713
            ],
            [
                0.999993037740431,
                0.9999980052693274,
                0.9999151889891562,
                0.9999952149072167,
                0.9999930377462414,
                0.999948557798623,
                0.9999724643056241,
                0.9999724643089074,
                0.9999984465020603,
                0.9999952149037941
            ],
            [
                4.006367782114826e-05,
                1.0129994600638342e-05,
                4.222835457794923e-06,
                7.889262574592532e-06,
                2.260325105488003e-06,
                5.422218967944967e-06,
                3.288749065167371e-06,
                2.9023133686360798e-06,
                8.939695237504067e-06,
                8.939700562695657e-06
            ],
            [
                0.9999038975624376,
                0.9999945777784447,
                0.9999339478632154,
                0.9999785550413609,
                0.9999852610145151,
                0.9999687980886323,
                0.9999990577557432,
                0.9999993524049702,
                0.9999982396565769,
                0.00043055703491776945
            ],
            [
                0.9999980052700407,
                0.9999930377462409,
                0.9999898700126431,
                4.539789021507677e-05,
                0.9999687980886445,
                0.9999785550490328,
                0.9999945777810306,
                0.999997097688707,
                0.999738809722634,
                0.9999930377445807
            ],
            [
                0.9998911031167671,
                0.9999967112521106,
                0.9999945777829695,
                0.9996200154312676,
                0.9999984465015047,
                0.9996646497304907,
                0.9999546021371366,
                0.9999952149032237,
                1.300712846217e-05,
                0.9999485577925007
            ],
            [
                0.93991335382341,
                0.9998911030912411,
                0.9999962733616046,
                7.88926070293116e-06,
                0.9947798752035645,
                0.9999957771665559,
                0.982013790169506,
                0.9968273169638536,
                0.9995694428640518,
                0.9993736659783382
            ],
            [
                0.9997694931773939,
                0.999997438716568,
                0.9997040427636691,
                0.00020342704526886787,
                0.9999994956525317,
                0.9989677690680432,
                0.9996646500128009,
                0.9999339478790639,
                0.9971990730556402,
                0.042087725362387016
            ],
            [
                0.9999930377412607,
                0.9999996072137998,
                0.999996711249367,
                0.9998601779762216,
                0.9999938558239335,
                0.9046505421702797,
                4.2228319341064674e-06,
                1.3007133105399164e-05,
                0.9999995549147358,
                0.9999952149037941
            ],
            [
                0.9999957771645419,
                0.9999992661790195,
                0.9924227597756434,
                0.9991959141480825,
                0.999975699765066,
                0.9998204720768361,
                1.3007128463069061e-05,
                0.9399133523506772,
                0.9999852610145168,
                0.9999785550515917
            ],
            [
                0.9999885212291424,
                4.222835457906302e-06,
                0.9999957771665557,
                0.9999974387180951,
                0.9999930377454103,
                0.9999990577554061,
                0.9995694429146548,
                0.9999599363030465,
                0.999933947878971,
                0.9999339478474694
            ],
            [
                0.999925153772803,
                0.9997694931772665,
                0.9706877715805506,
                0.9924227600627821,
                0.999994577780384,
                0.9999038976194506,
                0.9998204719486101,
                0.9999885212264104,
                0.9989677690667226,
                0.9999967112501507
            ],
            [
                0.9999991684716749,
                0.9999485578047742,
                0.9975273766107822,
                0.9999990577557432,
                0.9999974387171787,
                0.9940889298248665,
                0.9999687980960814,
                0.9999982396569966,
                0.00010889686982498208,
                0.9999687980849129
            ],
            [
                0.9971990736285675,
                7.484619944299006e-05,
                0.9999945777829695,
                0.9998204720340488,
                0.9982992779500728,
                0.9988304900013482,
                0.9997965730272278,
                2.1444958614225316e-05,
                0.9995694429105213,
                0.9875683497413793
            ],
            [
                0.9999980052700408,
                0.9999994956524716,
                0.9999992661790196,
                0.999704042973199,
                0.9999986290432835,
                0.9997965730516005,
                0.9999996940976636,
                0.9999930377462403,
                0.9999930377437507,
                0.9999646437450824
            ],
            [
                4.222831933296096e-06,
                1.3709572066782945e-06,
                9.422447061876404e-07,
                1.1478765386330758e-05,
                6.14417606659952e-06,
                4.222832437324657e-06,
                3.726641060658489e-06,
                2.6995777744140237e-07,
                3.726638395415398e-06,
                3.726640616670918e-06
            ],
            [
                8.939698432690187e-06,
                0.9995121428324006,
                0.9999997617630048,
                0.9999852610127877,
                0.9999974387180947,
                0.9999962733598275,
                0.9999546021098021,
                3.1201922469432284e-05,
                0.9999982396565769,
                0.20181322946142374
            ],
            [
                0.9996200155193632,
                0.037326885202320595,
                0.9999417087417276,
                8.481104105225297e-05,
                0.999373665925253,
                0.9978172834258529,
                0.9999930377404338,
                0.9968273167105478,
                0.9999852610233092,
                0.9999994956524716
            ],
            [
                0.9999996940977731,
                0.9999952149060769,
                0.9995121429132076,
                0.9999938558268631,
                0.9399133464597458,
                0.9998601778774151,
                0.999998239656367,
                0.9998415637865867,
                6.962256249327861e-06,
                0.9999756997592866
            ],
            [
                0.9999832985781584,
                0.9999945777803839,
                0.9999970976880149,
                0.9999910603026315,
                0.9999852610215424,
                0.9999921107383553,
                0.9999898700114356,
                0.9995121428275755,
                0.9999417087484088,
                0.9998204720339836
            ],
            [
                0.9999251537906645,
                0.999959936317373,
                0.9999990577549569,
                0.999994577780384,
                0.9986749773970043,
                0.9999251537995403,
                0.9964063971993183,
                2.9023126756221686e-06,
                0.904650536386234,
                0.9994472212537708
            ],
            [
                0.9999546021421969,
                0.9990889487058876,
                0.7310585786300049,
                0.9992903296366883,
                0.9999967112493666,
                0.9999646437324586,
                0.999088948984572,
                0.9999982396567868,
                0.9990889489103444,
                0.10669060388702056
            ],
            [
                0.999996273360272,
                0.9999986290421395,
                0.9999832985841296,
                7.889263525534328e-06,
                2.9023112930949896e-06,
                0.9984988177594913,
                0.9999990577555185,
                0.9964063975669775,
                0.9999974387177893,
                0.9999994284994849
            ],
            [
                0.9991959142505008,
                0.9999930377454104,
                2.14449483869776e-05,
                0.9999339478239136,
                0.9997388097850195,
                0.99999893229713,
                0.9999980052709919,
                0.9999994956526519,
                0.9998911030648276,
                0.9999982396572065
            ],
            [
                0.999796572954376,
                0.999994577781677,
                0.9999995549150011,
                0.9999989322967483,
                0.9999989322970028,
                0.9999930377420908,
                0.9999967112505427,
                0.9994472212573725,
                0.9999921107383649,
                4.22283294098842e-06
            ],
            [
                9.61024490400584e-05,
                0.952574130693245,
                0.06008665143635007,
                2.144494328950459e-05,
                0.9999938558232012,
                0.999988521233244,
                0.9999930377462414,
                0.9999930377445815,
                0.9998601779427884,
                0.9975273771178705
            ],
            [
                0.9993736658250942,
                0.9999977396762412,
                4.785095064523075e-06,
                0.999999352405279,
                0.9953904276240582,
                0.9999992661788446,
                2.753568124348506e-05,
                0.9997388097538306,
                0.9975273764086361,
                0.9999995549149481
            ],
            [
                0.9999957771680659,
                0.9999724643154765,
                0.9902915239841309,
                0.9968273176619173,
                0.9989677688195532,
                0.9999987901346049,
                0.9964063970617588,
                0.9999984465020603,
                0.9999982396567867,
                0.9997694932331499
            ],
            [
                0.9999962733611603,
                0.9999869928668866,
                2.1444948410928083e-05,
                0.9999898700114365,
                0.9999151889688949,
                0.985936371523348,
                0.9999687980960814,
                0.9999910602994343,
                0.9999967112521109,
                0.9999996072137998
            ],
            [
                2.753568778267916e-05,
                8.315283249833015e-07,
                1.0129989769464556e-05,
                4.785093351255006e-06,
                5.8291244557923705e-05,
                1.4738985440876734e-05,
                4.539786319009186e-05,
                1.1478766747737722e-05,
                1.3709572067181944e-06,
                6.1441775290176756e-06
            ],
            [
                0.9986749777285168,
                0.9820137897089148,
                0.9999967112493664,
                2.9023133685252154e-06,
                0.9999989322967482,
                0.9999832985721872,
                0.37754066879814546,
                0.9999995549150011,
                0.9997040429363959,
                0.9999930377429208
            ],
            [
                0.9999974387177893,
                0.9999987901343165,
                0.9997388095671146,
                0.999948557798614,
                4.006367783922064e-05,
                0.9999984465022455,
                0.9997388096602561,
                0.9999982396563669,
                0.999996273359828,
                0.9999038975621404
            ],
            [
                0.9986749775476639,
                0.9933071498898954,
                0.9995121429507585,
                0.9998601778927992,
                0.9998204719922593,
                2.1444948402034417e-05,
                0.9999996533672962,
                5.829129327472389e-05,
                0.9999756997592791,
                0.9999687980738009
            ],
            [
                3.288749064736654e-06,
                1.3007133114011233e-05,
                8.939699489399712e-06,
                4.785093923603471e-06,
                4.006369693691754e-05,
                2.430023782328611e-05,
                2.2603248365960415e-06,
                3.726640614816945e-06,
                1.3007125359034903e-05,
                1.1478772229989872e-05
            ],
            [
                0.9999980052709918,
                0.9999151889791851,
                0.9999994956523514,
                0.9999599363078501,
                0.000139822139856903,
                0.9933071490973854,
                0.9999984465024306,
                0.9999986290432835,
                0.9999987901347491,
                0.9999885212305117
            ],
            [
                0.9984988176978934,
                0.999925153772803,
                0.9999991684720715,
                0.9999417087483762,
                0.9999832985721872,
                0.9991959139833247,
                0.9840936098626465,
                0.9999970976873229,
                0.9996200155613383,
                0.9999967112493665
            ],
            [
                0.9706877671287282,
                0.9986749776058942,
                0.9999987901341723,
                0.9999987901347493,
                0.999999266178932,
                0.8670357494949105,
                7.484620014653187e-05,
                0.002472623459279797,
                0.9999546021260766,
                0.9999977396754327
            ],
            [
                0.9968273169542811,
                0.9998601779430976,
                0.11920292045759123,
                0.9995121428503957,
                0.9982992773243021,
                0.9999599363030588,
                0.9998911031037886,
                0.997817283291473,
                0.04208772686428808,
                0.999994577782323
            ],
            [
                0.9999957771680658,
                0.9999991684722698,
                0.9999810748472526,
                0.00012339463340871004,
                0.966914019704466,
                0.9997388095679126,
                0.9999967112493665,
                0.9999785550490333,
                0.9990889488739989,
                0.9999974387171787
            ],
            [
                0.9999832985821381,
                0.8807970795424087,
                0.9999852610110012,
                2.5612812945260317e-06,
                0.9992903296379679,
                0.9999980052702786,
                0.9999756997592754,
                0.9999852610215436,
                0.9999785550567023,
                0.9046505408849362
            ],
            [
                0.9997388095673958,
                0.9999930377420909,
                3.535625912190121e-05,
                0.9465966745315055,
                7.484626278192885e-05,
                0.9999921107345939,
                0.999993037741261,
                9.610241435283532e-05,
                0.00010889693444824049,
                0.9859363762368012
            ],
            [
                0.9999970976880149,
                3.7266397280485686e-06,
                0.9988304896133697,
                0.9999339478396218,
                0.9999151889689584,
                0.99896776881115,
                0.9999970976873229,
                0.9999987901341723,
                3.2887478891128633e-06,
                0.9940889318442452
            ],
            [
                0.9999990577554061,
                0.999999057755743,
                0.9999952149043646,
                0.9999993524052019,
                0.9999852610232999,
                0.9999989322973845,
                0.999999057755743,
                0.9999962733616046,
                0.9999982396561572,
                0.9999986290421395
            ],
            [
                0.9999957771660521,
                0.999999653367379,
                0.999933947878971,
                0.9984988180700983,
                0.9999151889485612,
                0.9999987901337396,
                0.9770226287518852,
                0.9999984465020603,
                0.9997694931752275,
                0.9999546021422155
            ],
            [
                0.9999832985841305,
                5.144220748924517e-05,
                0.9999952149060757,
                0.9999952149060765,
                0.9999984465018751,
                0.9999485577741123,
                0.9999417087483918,
                0.9999993524049702,
                0.9999992661788445,
                0.9999982396572065
            ],
            [
                0.9999984465018751,
                0.999933947878961,
                0.0003353502288823288,
                0.9999339478238862,
                0.9626731121204184,
                2.260324836567261e-06,
                2.7535687801010546e-05,
                0.9999832985781592,
                0.9241418126663687,
                0.9994472212566329
            ],
            [
                0.9999996072138465,
                0.9999898700126515,
                0.9999987901344607,
                0.9996646499722618,
                0.9999151889891026,
                8.481105146153628e-05,
                0.9998415637269378,
                0.9999984465026158,
                0.9998601778600699,
                0.9999885212305073
            ],
            [
                0.9999989322975118,
                0.9999982396567867,
                0.9940889303201342,
                0.999981074858529,
                0.9971990732930051,
                0.9933071503604483,
                0.00015843617813478082,
                0.9999599363078904,
                0.9998415637268017,
                0.9996646498906275
            ],
            [
                0.9999646437619673,
                0.999620015516876,
                0.9999599363078431,
                0.9999251537729958,
                0.9999832985801561,
                0.9996200154777308,
                0.9998415637080306,
                0.9998601778594941,
                0.9999251537373134,
                0.9999756997505969
            ],
            [
                0.0006263342301770864,
                0.9902915217635532,
                0.9986749777633317,
                6.605215242107913e-05,
                0.9992903294821399,
                0.9996200154268787,
                0.9947798742459886,
                0.9740426438853725,
                0.9964063968858494,
                0.990291521638198
            ],
            [
                0.9978172831819406,
                0.9998911030908354,
                0.9999997617630617,
                0.9999756997592727,
                NaN,
                0.1329642384799526,
                0.9999980052693274,
                0.9999984465015047,
                0.9999993524053562,
                NaN
            ],
            [
                0.9999646437366961,
                0.9975273774193669,
                0.03732688975366457,
                NaN,
                0.9999986290423029,
                0.9998766053670509,
                0.9999038975393034,
                0.9971990725854623,
                0.9995121427720581,
                0.9999996940976636
            ]
        ]
    },
    {
        "q_id": "10760_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            118,
            120,
            121,
            122,
            123,
            124,
            127,
            112,
            113,
            114,
            115,
            116,
            117,
            125,
            126,
            119
        ],
        "rewards": [
            [
                0.9999980052698031,
                0.9999980052693275,
                0.9999962733616049,
                0.999999168471675,
                0.9999989322971301,
                0.9999994956527121,
                0.9999980052700408,
                0.9999986290421395,
                0.999997739676511,
                0.9999989322975119
            ],
            [
                0.9999982396567868,
                0.9999991684722698,
                0.9999989322970028,
                0.9999986290424664,
                0.9999994956527722,
                0.999999554914789,
                0.9999962733620489,
                0.9999992661791944,
                0.9999991684720715,
                0.9999987901344608
            ],
            [
                4.785093353909723e-06,
                7.889260704818233e-06,
                3.288749849477628e-06,
                1.1478764020372226e-05,
                0.9995121428243399,
                3.535624227579939e-05,
                3.726638395527247e-06,
                5.422217030663578e-06,
                2.1444953525877587e-05,
                0.9971990730400325
            ],
            [
                6.14417533430649e-06,
                6.962254589851619e-06,
                1.0129989772274546e-05,
                1.4738978457872657e-05,
                2.9023133690821773e-06,
                3.288749065406658e-06,
                6.96225873967641e-06,
                8.939696304002375e-06,
                4.2228334445658276e-06,
                7.889263525778283e-06
            ],
            [
                1.6701417859944398e-05,
                0.9996200154260607,
                5.829127942361117e-05,
                2.902310947190096e-06,
                1.892515500663531e-05,
                1.670142781520948e-05,
                6.605214467635982e-05,
                1.1478764020372226e-05,
                1.6701429808298613e-05,
                1.012998977213635e-05
            ],
            [
                1.9947292459265734e-06,
                9.422450431912e-07,
                7.338212429562581e-07,
                4.785092783319532e-06,
                7.338210680002898e-07,
                1.670142781709299e-05,
                5.4222176771176554e-06,
                1.553497384196656e-06,
                4.785094494716039e-06,
                6.144174601935314e-06
            ],
            [
                8.939693106987645e-06,
                1.9947292459265734e-06,
                5.422220908925639e-06,
                6.962254589332388e-06,
                6.475949526020042e-07,
                1.7603438428564603e-06,
                2.5612812947380135e-06,
                1.5534983101549167e-06,
                2.9023133690637e-06,
                2.2603234895176927e-06
            ],
            [
                1.9947299593014888e-06,
                1.3709572068478697e-06,
                1.7603427936335396e-06,
                1.99473067264854e-06,
                8.315283250371857e-07,
                6.144176066795103e-06,
                4.785095065045315e-06,
                3.059022998576899e-07,
                1.0677026154774503e-06,
                1.0677032518785256e-06
            ],
            [
                7.889259764079887e-06,
                1.3007125363057018e-05,
                1.0677029973192638e-06,
                1.3709570434122812e-06,
                2.2603245673155757e-06,
                3.2887502415243994e-06,
                6.9622595694023114e-06,
                6.475951069985296e-07,
                5.422217030663578e-06,
                3.7266406167827664e-06
            ],
            [
                0.9999952149060758,
                0.9999962733616046,
                0.9999852610215463,
                0.9999962733598282,
                0.9999832985761793,
                0.9999938558239335,
                0.999996273358939,
                0.9999967112521111,
                0.9999930377404315,
                0.9999974387171787
            ],
            [
                8.93970056668775e-06,
                2.902311985146426e-06,
                1.8925152751174644e-05,
                4.785095635592258e-06,
                2.561283432035425e-06,
                1.553497384196656e-06,
                1.7603438428740716e-06,
                2.5612816000646084e-06,
                5.422218969661113e-06,
                1.8925157264919016e-05
            ],
            [
                0.9999990577550691,
                0.9999982396574163,
                0.9999989322975119,
                0.9999992661791944,
                0.9999987901347492,
                0.9999992661788446,
                0.9999986290424663,
                0.9999977396759719,
                0.9999898700090227,
                0.9999930377462409
            ],
            [
                4.785095065132354e-06,
                4.006370172712009e-05,
                6.9622587396067566e-06,
                0.9890130548798951,
                6.1441724046434924e-06,
                3.2887478892504536e-06,
                2.2603242978778778e-06,
                4.785094494716039e-06,
                4.539786862811735e-05,
                1.3007134666644292e-05
            ],
            [
                5.422217677028889e-06,
                4.2228334445370225e-06,
                1.3007126913583456e-05,
                1.1478764019328247e-05,
                7.889264466725156e-06,
                1.1478769493916314e-05,
                3.2887498494551953e-06,
                4.785093924251918e-06,
                1.5534971989992774e-06,
                4.222835458044565e-06
            ],
            [
                0.9933071481191306,
                0.9994472213876774,
                0.9990889489848369,
                0.9993736659709419,
                0.999620015515273,
                0.9994472213224607,
                0.9978172836849779,
                0.9982992775191885,
                0.9988304898629108,
                0.99781728344208
            ],
            [
                4.222835458175145e-06,
                8.939699501132077e-06,
                2.902313023101807e-06,
                3.288749065406658e-06,
                2.5612819054028872e-06,
                3.726639284125553e-06,
                1.3007133115903994e-05,
                6.144174601935314e-06,
                3.5356246482211416e-05,
                1.0677026154774503e-06
            ],
            [
                4.785095065171522e-06,
                3.288748281295496e-06,
                4.2228334445370225e-06,
                2.2603242978665707e-06,
                5.422218323399208e-06,
                1.1478770862255766e-05,
                1.8925145983348442e-05,
                3.7266383955882547e-06,
                8.939696304002375e-06,
                4.785094494672519e-06
            ],
            [
                5.8291251635303294e-05,
                0.9968273164484057,
                6.962257079553702e-06,
                0.0001088968833081619,
                6.9622579095833456e-06,
                8.939693106987645e-06,
                6.144173869558639e-06,
                5.422217676979575e-06,
                7.338211554801876e-07,
                7.484625399799535e-05
            ],
            [
                0.9999974387180948,
                0.9999869928699925,
                0.9999990577550693,
                0.999996711252111,
                0.9999930377420911,
                0.9999967112517191,
                0.9999989322967482,
                0.9999967112505427,
                0.9999982396567868,
                0.9999980052693275
            ],
            [
                6.144176799166453e-06,
                6.962257909722651e-06,
                4.222834451382849e-06,
                1.1478764020727177e-05,
                8.481101102021286e-05,
                1.7603434231705793e-06,
                0.9914225134458244,
                0.9999038975850683,
                0.9992903297043032,
                1.7603430034655858e-06
            ],
            [
                7.484622725304513e-05,
                4.785093353687772e-06,
                3.120190393590123e-05,
                0.9953904274873154,
                1.4738983727256784e-05,
                6.605217616848166e-05,
                0.9998204720554438,
                5.8291286299547405e-05,
                1.473898197154587e-05,
                2.4300234937946394e-05
            ],
            [
                3.726639284050988e-06,
                8.939696304116203e-06,
                2.26032402841657e-06,
                5.422217677028889e-06,
                1.147877359872636e-05,
                2.2603242978778778e-06,
                1.2098658277451275e-06,
                3.288750633569722e-06,
                1.012998977198894e-05,
                2.260325375664839e-06
            ],
            [
                0.9999991684719723,
                0.9999991684722698,
                0.9999962733611605,
                0.999999266178757,
                0.999998790134605,
                0.999997097689053,
                0.999998629042303,
                0.9999986290432835,
                0.9999952149043648,
                0.9999990577549568
            ],
            [
                0.9902915238319139,
                4.006367785875045e-05,
                0.9933071489890343,
                0.974042643367335,
                0.9964063973960702,
                0.9980732656017337,
                0.9990889488748466,
                3.535626335815526e-05,
                0.993307149967289,
                0.9890130570961677
            ],
            [
                0.9999991684720715,
                0.999996711250151,
                0.9999991684718732,
                0.9999987901337396,
                0.9999992661790195,
                0.9999938558232012,
                0.9999993524054334,
                0.9999967112509354,
                0.9999994284994848,
                0.9999989322972572
            ],
            [
                1.2098661161982042e-06,
                5.422217677078203e-06,
                4.222832437747125e-06,
                1.300713466685723e-05,
                2.2603251062013478e-06,
                2.430023204129162e-05,
                7.889264466445326e-06,
                2.561281905376098e-06,
                2.2603251062270446e-06,
                4.7850939242083995e-06
            ],
            [
                2.902312677137316e-06,
                6.144174601935314e-06,
                7.889265406567165e-06,
                4.222834451355964e-06,
                1.9947301970587145e-06,
                6.144174601991196e-06,
                2.902311639183378e-06,
                8.315281267861397e-07,
                0.9992903295405908,
                2.5612822107167428e-06
            ],
            [
                0.9999974387180948,
                0.9999938558239339,
                0.9999921107345944,
                0.9999967112521109,
                0.999997097688361,
                0.9999974387171787,
                0.9999885212264018,
                0.9999869928715365,
                0.9999970976869773,
                0.9999977396754327
            ],
            [
                0.9999952149066464,
                0.9999945777823243,
                0.9999977396759717,
                0.9999038976082038,
                0.9999785550490472,
                0.9999982396569966,
                0.9999910603058283,
                0.999998005269803,
                0.9999930377462413,
                0.9999151889183805
            ],
            [
                0.9999991684719725,
                0.9999989322966208,
                0.9999984465015048,
                0.9999967112517189,
                0.999997438717484,
                0.9999991684720715,
                0.999998446502801,
                0.999999168471675,
                0.9999984465020603,
                0.9999974387177896
            ],
            [
                0.9999986290429566,
                0.9999987901347492,
                0.9999995549150542,
                0.9999984465024306,
                0.9999977396751649,
                0.9999997300422225,
                0.9999980052693275,
                0.9999994956524114,
                0.9999984465024306,
                0.9999970976866311
            ],
            [
                8.939698435096828e-06,
                8.939697369785323e-06,
                3.726641061109272e-06,
                6.1441724044534996e-06,
                2.5612828213934817e-06,
                2.902312331125353e-06,
                1.7603440527286572e-06,
                9.422442569290178e-07,
                3.288749457432399e-06,
                7.889266347636241e-06
            ],
            [
                0.9999869928730875,
                0.9998204719483123,
                0.9999546021368043,
                0.9999599363030446,
                0.9999485578047985,
                0.9999546021367857,
                0.9999967112497588,
                0.9999785550490375,
                0.9999930377429209,
                0.9999832985701935
            ],
            [
                0.9978172832149018,
                0.9997694933693976,
                0.9988304895940591,
                0.9740426401649208,
                0.996827317103761,
                0.9993736658982914,
                0.9959298621142206,
                0.9820137899392104,
                4.5397863224112544e-05,
                0.9984988179489964
            ],
            [
                1.3709567165530083e-06,
                2.5612825160562587e-06,
                4.785096776433933e-06,
                5.422217676979575e-06,
                9.422449308673789e-07,
                7.889263526093993e-06,
                4.785095065171522e-06,
                1.2098662604192665e-06,
                8.315279285351409e-07,
                9.422444815792981e-07
            ],
            [
                0.999981074854021,
                0.999876605469328,
                0.9984988178861771,
                0.9998601779425421,
                0.9999599362887301,
                0.9998204720985001,
                0.9999832985761657,
                0.9999151889485773,
                0.9999687980737675,
                0.9999646437408697
            ],
            [
                2.260325375677174e-06,
                2.902311639183378e-06,
                5.4222215552470286e-06,
                1.0129988564264954e-05,
                3.288750241500471e-06,
                7.889265407090955e-06,
                3.2887486733420804e-06,
                1.994729959270648e-06,
                1.5534975693792215e-06,
                2.902311293147782e-06
            ],
            [
                0.9999991684715758,
                0.9999994956524114,
                0.9999984465022456,
                0.9999987901337396,
                0.9999990577550691,
                0.9999991684717741,
                0.9999986290432835,
                0.9999982396567868,
                0.999999266178932,
                0.9999993524053562
            ],
            [
                0.9999967112501508,
                0.9999930377429206,
                0.9999977396762411,
                0.9999962733598287,
                0.9999977396759717,
                0.9999984465016899,
                0.9999945777790916,
                0.9999974387171787,
                0.9999957771655492,
                0.9999989322972572
            ],
            [
                1.3709573702778664e-06,
                1.553498124964492e-06,
                1.2098662604192665e-06,
                1.9947297214944016e-06,
                5.043472278299047e-07,
                5.04347528446051e-07,
                3.726638839833152e-06,
                1.553497199007048e-06,
                4.4508526417298334e-07,
                2.9023133690821773e-06
            ],
            [
                4.222833947897496e-06,
                2.9023109472244114e-06,
                1.760343003481596e-06,
                4.78509392429544e-06,
                4.785096205973894e-06,
                2.260324028427877e-06,
                4.006368740052914e-05,
                3.2887482812745586e-06,
                3.726639728348526e-06,
                4.222833947932061e-06
            ],
            [
                3.7266392840781026e-06,
                1.99472900813862e-06,
                6.14417533430649e-06,
                6.96225873967641e-06,
                2.902311639183378e-06,
                2.753569437266178e-05,
                3.7266401725681614e-06,
                1.994730434879465e-06,
                2.26032402841657e-06,
                3.2887498494282754e-06
            ],
            [
                1.012999581021488e-05,
                1.3709578605617394e-06,
                5.422221555296344e-06,
                9.422450431954847e-07,
                2.90231233114251e-06,
                1.3007134666431358e-05,
                6.144175334367959e-06,
                1.3007131565140219e-05,
                6.962254589781966e-06,
                2.902313023101807e-06
            ],
            [
                0.9999910603026315,
                0.999995214906076,
                0.9999970976880151,
                0.9999898700066053,
                0.9999869928746389,
                0.9999898700053986,
                0.9999962733620489,
                0.9999952149066473,
                0.999997097687669,
                0.9999945777810305
            ],
            [
                1.5534984953453635e-06,
                8.93970056668775e-06,
                1.0677027427600627e-06,
                8.939695238089467e-06,
                1.9947292459265734e-06,
                1.7603432133296774e-06,
                5.422218969769604e-06,
                2.561282210729555e-06,
                1.7603427936263351e-06,
                4.785094494750855e-06
            ],
            [
                4.539789028757721e-05,
                0.9996646498500006,
                3.7266383955882547e-06,
                0.9968273168187919,
                8.939698434332555e-06,
                1.7603432133136672e-06,
                3.120191508707442e-05,
                8.939699500896292e-06,
                5.422220262505697e-06,
                2.1444943300075563e-05
            ],
            [
                3.726638395611981e-06,
                3.1201918809808464e-05,
                3.72664061681327e-06,
                2.561281905390075e-06,
                5.422217030614265e-06,
                7.88925976418034e-06,
                1.0677024881941248e-06,
                3.7266401725681614e-06,
                1.553497754583709e-06,
                7.889259764273619e-06
            ],
            [
                2.430023783601594e-05,
                2.5612819053586272e-06,
                3.72664061681327e-06,
                2.75356976629957e-05,
                0.9324533069832974,
                3.72664017246987e-06,
                1.4738985484871391e-05,
                3.288747889229516e-06,
                1.209865683500459e-06,
                2.2603237589676295e-06
            ],
            [
                0.999998446502801,
                0.9999990577551815,
                0.9999980052695653,
                0.9999982396572065,
                0.9999974387180947,
                0.9999987901338839,
                0.9999982396574163,
                0.9999990577552937,
                0.9999994956527121,
                0.9999977396751634
            ],
            [
                1.1478772230762415e-05,
                6.962256249682458e-06,
                0.9978172835967436,
                7.889259764273619e-06,
                0.9964063978279236,
                7.88926540679677e-06,
                1.067702870039777e-06,
                6.9622579096593295e-06,
                2.9023119851635836e-06,
                0.9996646497701029
            ],
            [
                0.9999987901338839,
                0.9999982396561572,
                0.9999989322975119,
                0.9999945777784452,
                0.9999991684722698,
                0.9999993524049703,
                0.9999992661789321,
                0.9999991684720715,
                0.9999982396559474,
                0.9999982396565769
            ],
            [
                0.999998790134028,
                0.9999980052695653,
                0.9999994284996211,
                0.9999990577550691,
                0.9999991684721706,
                0.9999987901343165,
                0.9999977396751634,
                0.9999991684715758,
                0.9999994284996891,
                0.9999991684719725
            ],
            [
                0.9997694931751738,
                1.9947294837154625e-06,
                0.9984988175546303,
                1.6701425824733193e-05,
                0.9997965729301365,
                2.2603245673279107e-06,
                1.3709576971425944e-06,
                3.288749065406658e-06,
                1.8925141472773765e-05,
                6.144176799227922e-06
            ],
            [
                0.9999995549149481,
                0.9999994284992805,
                0.9999982396563671,
                0.9999994284993486,
                0.9999982396574163,
                0.9999984465018752,
                0.999999554914895,
                0.999998005270992,
                0.9999991684717742,
                0.9999994956526519
            ],
            [
                0.9999546021476009,
                0.9971990732026113,
                6.144173136952939e-06,
                6.962253759752719e-06,
                3.7266406168403854e-06,
                2.9023123311583482e-06,
                1.9947294837154625e-06,
                1.9947301970587145e-06,
                4.006369695353247e-05,
                3.7266406168624155e-06
            ],
            [
                2.144494330116777e-05,
                7.889259764359722e-06,
                1.1478766757404937e-05,
                6.144172404693786e-06,
                0.9975273769013675,
                1.1478764020727177e-05,
                1.012998977198894e-05,
                5.1442238184803627e-05,
                6.962256249682458e-06,
                0.9914225137942994
            ],
            [
                5.422220908925639e-06,
                3.7266388398585725e-06,
                6.144177531767002e-06,
                8.939693106987645e-06,
                1.47389854857293e-05,
                4.785095065171522e-06,
                3.120190021657421e-05,
                3.288749457383046e-06,
                7.484624503218738e-05,
                6.962259569630266e-06
            ],
            [
                9.422449308748773e-07,
                3.288749457432399e-06,
                1.994729483705484e-06,
                2.9023116391477434e-06,
                1.7603434231705793e-06,
                1.9947301970813926e-06,
                1.3709576971316842e-06,
                3.726639728224814e-06,
                1.9947297215125433e-06,
                3.2887482812745586e-06
            ],
            [
                3.2887478892504536e-06,
                2.5612822107167428e-06,
                2.90231233114251e-06,
                2.2603237589676295e-06,
                7.338211554801876e-07,
                7.889261645269683e-06,
                1.0677032518700286e-06,
                4.785096205973894e-06,
                3.7266383955882547e-06,
                1.7603434231777837e-06
            ],
            [
                0.9999974387168733,
                0.9999970976866309,
                0.9999980052707541,
                0.9999952149072169,
                0.9999992661790195,
                0.9999984465022455,
                0.9999990577550691,
                0.999998446502801,
                0.9999962733611607,
                0.9999970976890528
            ],
            [
                8.93969736955767e-06,
                1.9947290081286418e-06,
                6.14417533430649e-06,
                8.93969736955767e-06,
                7.889259764359722e-06,
                0.9994472213218496,
                1.9947292459265734e-06,
                1.1478770862255766e-05,
                1.5534979397500702e-06,
                4.222834954753043e-06
            ],
            [
                2.5612828213818346e-06,
                5.422218323399208e-06,
                3.2887502415438413e-06,
                1.5534981249574276e-06,
                1.4738978457336465e-05,
                1.9947304348703948e-06,
                4.222834451327159e-06,
                5.422221555340727e-06,
                4.2228324377740105e-06,
                3.288748673319648e-06
            ],
            [
                0.9840936055182996,
                3.726638839878908e-06,
                2.260324028404236e-06,
                1.4738985484871391e-05,
                1.2098655392921197e-06,
                3.726640616630245e-06,
                2.9023130230846496e-06,
                3.2887502415438413e-06,
                4.78509563550957e-06,
                5.4222215552470286e-06
            ],
            [
                4.78509392429544e-06,
                1.3007128464559612e-05,
                2.75356845363217e-05,
                6.144177531532303e-06,
                3.7266388398585725e-06,
                0.9998911031038535,
                1.9947301970813926e-06,
                4.78509392429544e-06,
                2.260324836776948e-06,
                4.785096776433933e-06
            ],
            [
                7.889263526093993e-06,
                6.1441724046434924e-06,
                0.00012339460429798966,
                0.00013982209076288105,
                8.939696304116203e-06,
                2.5612831267086116e-06,
                6.475947210012481e-07,
                4.222835458148261e-06,
                1.8925145983795953e-05,
                5.422218969818919e-06
            ],
            [
                8.93969310675186e-06,
                3.288749457432399e-06,
                2.5612831266946347e-06,
                3.726638839833152e-06,
                2.561282516042282e-06,
                3.7266383955611403e-06,
                1.553497199007048e-06,
                8.31528424146183e-07,
                3.726641061085547e-06,
                1.0677024881980089e-06
            ],
            [
                0.9999038975851299,
                7.889264466545779e-06,
                1.300713001508642e-05,
                1.553497754583709e-06,
                4.0063687409856826e-05,
                5.422217030663578e-06,
                0.9998415637077331,
                0.9982992777935313,
                4.5397857817300854e-05,
                0.00012339457479049144
            ],
            [
                3.726638839833152e-06,
                6.144176066850984e-06,
                2.5612828213818346e-06,
                3.726641061085547e-06,
                3.288749457409966e-06,
                2.144494841326852e-05,
                1.3709568799879344e-06,
                7.889264466639056e-06,
                3.2887478892504536e-06,
                3.2887478892504536e-06
            ],
            [
                1.7603438428660665e-06,
                7.889260704423598e-06,
                5.422220908925639e-06,
                6.962257079553702e-06,
                2.9023112931688987e-06,
                3.2887482812745586e-06,
                4.78509506499309e-06,
                2.902313023063532e-06,
                6.475950297993789e-07,
                3.288748281220719e-06
            ],
            [
                1.7603434231385591e-06,
                1.9947304348595095e-06,
                2.902312677060767e-06,
                6.144177531660828e-06,
                0.9999756997563752,
                8.93969310647542e-06,
                8.315279285205827e-07,
                4.222832437747125e-06,
                7.3382080556433e-07,
                1.3709567165579959e-06
            ],
            [
                0.9999989322967481,
                0.999998005270992,
                0.9999987901341724,
                0.999997739675703,
                0.9999974387174843,
                0.9999910603005006,
                0.9999991684717742,
                0.9999957771650456,
                0.9999962733611607,
                0.9999986290429566
            ],
            [
                0.9999980052707546,
                0.9999992661788445,
                0.999999352405279,
                0.9999994284995529,
                0.9999995549147358,
                0.9999986290424664,
                0.9999990577551815,
                0.999999352404893,
                0.9999993524049703,
                0.99999862904312
            ],
            [
                2.4300246522270504e-05,
                7.338208930443633e-07,
                0.9991959139522719,
                1.1478768125577027e-05,
                1.3007126913820052e-05,
                1.7603425837702984e-06,
                0.9953904281453897,
                2.2603251062270446e-06,
                2.561281600049467e-06,
                4.222831934321543e-06
            ],
            [
                2.2603245673155757e-06,
                3.726639728262097e-06,
                4.222833444383398e-06,
                9.422448185478557e-07,
                4.785093353909723e-06,
                1.5534983101549167e-06,
                7.889265407090955e-06,
                4.785093924330255e-06,
                3.7266379513434106e-06,
                2.260324028427877e-06
            ],
            [
                6.962257079553702e-06,
                2.561282516042282e-06,
                1.0129993395088066e-05,
                1.760343423160973e-06,
                6.144175334239434e-06,
                1.7603425837791042e-06,
                2.902312331125353e-06,
                1.147877359872636e-05,
                2.5612831267086116e-06,
                2.5612825160271407e-06
            ],
            [
                1.7603432133296774e-06,
                6.962254589851619e-06,
                1.3007128464346676e-05,
                1.7603440527222532e-06,
                1.0677026154774503e-06,
                0.9994472213848153,
                8.939696304002375e-06,
                1.0129992187105678e-05,
                0.9999646437535178,
                6.144172404520556e-06
            ],
            [
                0.9999986290424664,
                0.9999980052700408,
                0.9999982396567868,
                0.9999930377420909,
                0.9999977396748939,
                0.9999984465018751,
                0.999997097688015,
                0.9999977396759717,
                0.999997097686977,
                0.9999910602994351
            ],
            [
                6.475947210031623e-07,
                5.71500515159253e-07,
                3.1201907654207106e-05,
                1.0677031245990084e-06,
                3.9278638755992735e-07,
                2.5612822107167428e-06,
                4.222834451327159e-06,
                7.889264466639056e-06,
                5.422217030747413e-06,
                1.3709576971425944e-06
            ],
            [
                0.9999986290426297,
                0.9999982396565769,
                0.9999987901344607,
                0.9999990577554061,
                0.9999987901347491,
                0.9999996072136592,
                0.9999993524052019,
                0.9999992661786696,
                0.999998629042957,
                0.9999986290423029
            ],
            [
                0.9999986290421394,
                0.9999962733593845,
                0.9999990577549568,
                0.9999921107345933,
                0.9999984465016899,
                0.9999995549150542,
                0.9999989322975118,
                0.9999832985801483,
                0.9999967112513269,
                0.9999991684715759
            ],
            [
                6.9622579095833456e-06,
                1.0129988564578197e-05,
                1.5534981249496567e-06,
                3.7266379513162962e-06,
                1.4738983729053029e-05,
                1.0677026154730804e-06,
                2.90231233114251e-06,
                8.939694172542558e-06,
                1.892515275165658e-05,
                0.9902915239572692
            ],
            [
                7.889263526180094e-06,
                5.422219616140078e-06,
                3.7266392840781026e-06,
                7.484624508881928e-05,
                0.9998911031168067,
                1.4738985485997396e-05,
                2.5612819053399912e-06,
                6.96225956921868e-06,
                4.222835458148261e-06,
                5.422218323093458e-06
            ],
            [
                0.9989677690789671,
                3.726638395527247e-06,
                3.288749849498565e-06,
                6.962254589851619e-06,
                2.9023109472244114e-06,
                3.288749457432399e-06,
                8.93969736955767e-06,
                1.6701415871049018e-05,
                2.1444950970119003e-05,
                2.5612816000646084e-06
            ],
            [
                6.475950298011458e-07,
                1.994729483723626e-06,
                1.0677024881941248e-06,
                3.7266383955611403e-06,
                4.222832941142044e-06,
                7.889262585642319e-06,
                3.726641061085547e-06,
                2.4300249418927004e-05,
                1.14787708624228e-05,
                3.2887498494282754e-06
            ],
            [
                0.9999957771650463,
                0.9999980052700408,
                0.9999990577551815,
                0.9999938558275969,
                0.9999974387180948,
                0.9999957771675626,
                0.9999990577555185,
                0.9999974387184006,
                0.9999974387187056,
                0.9999987901344608
            ],
            [
                2.90231233114251e-06,
                4.222834954607099e-06,
                1.4738985486265496e-05,
                2.1444950969026795e-05,
                1.9947297214944016e-06,
                0.9997040428304383,
                1.4738987242137685e-05,
                1.0129995809929273e-05,
                1.1478765388898939e-05,
                1.9947292459265734e-06
            ],
            [
                1.760343423160973e-06,
                1.3007125363057018e-05,
                5.422218323399208e-06,
                0.9971990729606941,
                6.144172404520556e-06,
                6.962256249682458e-06,
                1.8925143729162536e-05,
                6.144173137014406e-06,
                0.9933071480107796,
                0.999796572979015
            ],
            [
                0.9996646497701029,
                0.9982992779445384,
                0.9991959141487373,
                0.9997694932577313,
                0.9995121429375036,
                0.9989677689245912,
                0.9990889487700485,
                0.9986749778260295,
                0.999620015424535,
                0.9997388096597012
            ],
            [
                2.1444940743225995e-05,
                2.7535697658087296e-05,
                1.3709572068354007e-06,
                2.561281905293402e-06,
                6.144176799099397e-06,
                2.2603242978377903e-06,
                6.962253759828703e-06,
                1.3007126912542439e-05,
                2.260324567302214e-06,
                4.222832437677995e-06
            ],
            [
                0.9998766054547727,
                0.999447221454695,
                0.9995694429628151,
                0.999738809691027,
                0.9982992777522217,
                0.9993736657610057,
                0.999290329625543,
                0.9997040429012288,
                0.9988304897531671,
                0.9991959139560599
            ],
            [
                6.14417606659952e-06,
                1.8925157264471508e-05,
                0.9997388097853083,
                5.144222589407736e-05,
                2.5612812946681295e-06,
                1.9947299593014888e-06,
                1.0129993394959082e-05,
                0.9996200155600339,
                3.288749065406658e-06,
                4.539789027568648e-05
            ],
            [
                1.2098659719716573e-06,
                2.9023133690637e-06,
                2.561282210729555e-06,
                1.5534983101549167e-06,
                9.422447062270609e-07,
                1.370956716529941e-06,
                7.338209805224048e-07,
                3.2887506336086064e-06,
                1.9947299593014888e-06,
                4.785096205973894e-06
            ],
            [
                0.00010889687022902587,
                1.300712691403299e-05,
                6.962259569484628e-06,
                1.6701429806475863e-05,
                5.422218969818919e-06,
                2.7535684532815695e-05,
                2.5612828212909852e-06,
                0.00023050679757526113,
                1.300713466685723e-05,
                1.0129992187253088e-05
            ],
            [
                0.9999982396559474,
                0.9999974387165681,
                0.9999992661789321,
                0.9999987901346049,
                0.9999980052693274,
                0.9999980052693275,
                0.9999970976890532,
                0.9999990577554062,
                0.999999168471675,
                0.9999986290429567
            ],
            [
                1.1478766757237902e-05,
                3.120192625073753e-05,
                6.1441746018123775e-06,
                2.2603245673279107e-06,
                1.8925150496609267e-05,
                1.7603427936183298e-06,
                0.9998766054403987,
                2.4300240729754152e-05,
                8.939694172542558e-06,
                6.144173869446876e-06
            ],
            [
                1.1478770862067849e-05,
                7.889261645355786e-06,
                1.7603425837606927e-06,
                6.962256249821764e-06,
                1.5534975693933505e-06,
                2.753570423024174e-05,
                9.422443692489024e-07,
                4.5397879467176906e-05,
                2.9023119851635836e-06,
                1.4738985485166298e-05
            ],
            [
                5.422219616140078e-06,
                6.9622579096593295e-06,
                1.209865827740176e-06,
                3.2887498495150166e-06,
                5.715006514167015e-07,
                6.144173869446876e-06,
                1.9947297215125433e-06,
                2.5612825160562587e-06,
                3.2887490653408545e-06,
                2.9023109472244114e-06
            ],
            [
                2.5612812947508257e-06,
                3.288749065406658e-06,
                5.422218969769604e-06,
                6.962253759828703e-06,
                2.5612831266946347e-06,
                6.962254589914941e-06,
                5.422217030707961e-06,
                3.2887478892504536e-06,
                4.785092783454444e-06,
                1.0129988564430787e-05
            ],
            [
                0.9999992661788446,
                0.999999554914895,
                0.9999993524051246,
                0.9999994284992805,
                0.9999995549150542,
                0.9999987901347492,
                0.9999986290427931,
                0.9999982396572065,
                0.9999989322975118,
                0.9999990577556307
            ],
            [
                6.144173869502757e-06,
                8.939698435454571e-06,
                3.72664061681327e-06,
                4.222834451355964e-06,
                2.9023133690980155e-06,
                2.9023116391978967e-06,
                1.3007134666644292e-05,
                1.89251482406672e-05,
                6.144172404587612e-06,
                8.315284241650899e-07
            ],
            [
                6.9622579095833456e-06,
                6.9622579096593295e-06,
                1.1478766756653273e-05,
                2.753569438157704e-05,
                6.144173869502757e-06,
                3.726639728348526e-06,
                0.9996200154269562,
                6.144173136729416e-06,
                5.8291258507843456e-05,
                4.222833947932061e-06
            ],
            [
                0.9999938558232014,
                0.99999844650169,
                0.9999984465022456,
                0.9999945777803843,
                0.9999980052702786,
                0.9999980052707542,
                0.9999987901341724,
                0.9999945777784451,
                0.9999952149055056,
                0.9999984465016899
            ],
            [
                4.785093353874907e-06,
                2.4300232036606334e-05,
                2.753568453552033e-05,
                6.962256248871951e-06,
                2.9023119851781017e-06,
                2.2603234895289998e-06,
                1.012998977213635e-05,
                2.144495352642369e-05,
                4.78509392429544e-06,
                2.260323758923431e-06
            ],
            [
                3.7266397283231055e-06,
                7.889264466545779e-06,
                1.0129995810076682e-05,
                1.0129987357020188e-05,
                1.0129993395217047e-05,
                1.4738976700661033e-05,
                7.889260704631679e-06,
                2.4300252320622747e-05,
                3.726639728348526e-06,
                1.5534973842030142e-06
            ],
            [
                1.1478772230762415e-05,
                6.144175334418252e-06,
                1.0129990979842057e-05,
                6.962253759752719e-06,
                1.2098659719716573e-06,
                1.4738978457872657e-05,
                5.422218323349895e-06,
                1.3007131565613412e-05,
                3.288750241561788e-06,
                6.962254589705982e-06
            ],
            [
                3.2887502415243994e-06,
                2.9023126771227976e-06,
                6.144177531660828e-06,
                2.2603237589779086e-06,
                1.0129994602222992e-05,
                2.2603248367656408e-06,
                5.4222170304318e-06,
                1.0677032518785256e-06,
                2.5612831266608576e-06,
                4.006368262694324e-05
            ],
            [
                2.2603237589779086e-06,
                2.902312331125353e-06,
                4.222833947897496e-06,
                4.785095635592258e-06,
                7.88926352599354e-06,
                5.422220262555012e-06,
                6.9622579096593295e-06,
                0.9978172837331518,
                2.902313023101807e-06,
                2.2603234895176927e-06
            ],
            [
                0.9999957771645427,
                0.9999930377437517,
                0.999996711250935,
                0.999996711249367,
                0.9999962733602722,
                0.9999952149043647,
                0.9999991684717741,
                0.9999974387184,
                0.9999957771665572,
                0.9999980052695653
            ],
            [
                4.7850967763512445e-06,
                2.9023126771227976e-06,
                1.4738980214280206e-05,
                1.0677027427569065e-06,
                2.2603245673155757e-06,
                9.422443692527585e-07,
                1.5534983101602148e-06,
                1.3709576971061233e-06,
                1.3709578605617394e-06,
                4.785096776194573e-06
            ],
            [
                3.12019002122609e-05,
                2.5612831267086116e-06,
                1.670142383495587e-05,
                3.726638839833152e-06,
                0.9770226321807385,
                5.422220262555012e-06,
                4.785094494672519e-06,
                3.7266406168403854e-06,
                9.422449308716635e-07,
                5.422219616140078e-06
            ],
            [
                0.9999982396572067,
                0.9999756997505945,
                0.9999957771645421,
                0.9999991684718732,
                0.9999945777816771,
                0.9999977396746245,
                0.9999989322970028,
                0.9999967112509348,
                0.9999990577556307,
                0.9999967112517192
            ],
            [
                0.9999989322970027,
                0.9999995549150542,
                0.9999990577554062,
                0.9999986290432835,
                0.9999980052702786,
                0.9999984465015047,
                0.9999992661788445,
                0.9999996072137061,
                0.9999984465018751,
                0.9999980052709921
            ],
            [
                3.5356254914330094e-05,
                2.9023112931873767e-06,
                1.209865539274514e-06,
                2.9023116391675407e-06,
                3.7266392840781026e-06,
                3.2887506334560605e-06,
                6.962258739271155e-06,
                3.288749457409966e-06,
                3.7266401725681614e-06,
                1.7603438428460541e-06
            ],
            [
                0.9999974387177893,
                0.9999957771670599,
                0.9999945777797397,
                0.9999977396759716,
                0.9999952149066492,
                0.9999974387177896,
                0.9999977396746246,
                0.999998239656367,
                0.999998005269803,
                0.9999962733598299
            ],
            [
                0.9999977396754328,
                0.9999930377412619,
                0.9999984465020604,
                0.9999967112497589,
                0.9999989322968754,
                0.999993037742092,
                0.999997097688707,
                0.9999986290424664,
                0.9999970976880149,
                0.999997097687323
            ],
            [
                9.422448185510695e-07,
                1.2098655392871682e-06,
                4.222832437677995e-06,
                0.9995121428220125,
                8.315281267861397e-07,
                6.475951070002966e-07,
                6.475946438042047e-07,
                4.785095635592258e-06,
                5.422221555340727e-06,
                2.1444958638526877e-05
            ],
            [
                0.9999993524054335,
                0.9999994956525317,
                0.9999989322967482,
                0.999998005270992,
                0.9999989322967482,
                0.999998629042303,
                0.9999990577551815,
                0.9999984465020603,
                0.9999990577549569,
                0.9999991684722698
            ],
            [
                1.3007125362820425e-05,
                2.561281600049467e-06,
                4.222833444506298e-06,
                0.9999251537816741,
                4.222834451327159e-06,
                0.994088932254688,
                3.535625070624499e-05,
                0.9998601779427884,
                1.6701425825128124e-05,
                4.78509563555309e-06
            ],
            [
                5.422217030663578e-06,
                0.9964063966815944,
                1.8925155008528632e-05,
                4.785095065132354e-06,
                6.144176799283803e-06,
                8.939698435454571e-06,
                4.78509563550957e-06,
                5.422218323399208e-06,
                7.889259764359722e-06,
                6.962254589781966e-06
            ],
            [
                5.422221555296344e-06,
                8.939699501132077e-06,
                1.14787708624228e-05,
                4.78509563550957e-06,
                2.260324836776948e-06,
                2.9023130230846496e-06,
                2.4300237832303074e-05,
                0.9465966745315055,
                4.222834954687752e-06,
                8.939698435340743e-06
            ],
            [
                2.5612834319655406e-06,
                3.2887482812506295e-06,
                2.2603242978665707e-06,
                1.3709567165579959e-06,
                5.422217676925328e-06,
                3.12019225291377e-05,
                2.5612816000646084e-06,
                4.2228329411708495e-06,
                2.5612816000646084e-06,
                1.3709575337016483e-06
            ],
            [
                0.9991959139627474,
                0.997527376898496,
                0.9669140194661122,
                0.9997694931755025,
                0.9669140219688264,
                4.006370651032745e-05,
                8.939695238333382e-06,
                1.300712691403299e-05,
                4.78509563555309e-06,
                4.785095065171522e-06
            ],
            [
                4.785095065093186e-06,
                4.785096205973894e-06,
                2.9023133690980155e-06,
                5.422220262599396e-06,
                6.144174601991196e-06,
                4.222833947960866e-06,
                4.222834451327159e-06,
                8.939694172542558e-06,
                4.222833947932061e-06,
                1.670141985245514e-05
            ],
            [
                1.8925155008941717e-05,
                2.2603245673155757e-06,
                2.144495096785658e-05,
                6.962258739530771e-06,
                4.785095065171522e-06,
                0.9990889486535944,
                6.144173869558639e-06,
                7.889263526093993e-06,
                2.5612825160271407e-06,
                3.7266383955882547e-06
            ],
            [
                0.9999987901337396,
                0.9999986290429567,
                0.9999990577557432,
                0.9999945777803847,
                0.9999984465028011,
                0.999998005270041,
                0.999999266178932,
                0.9999994956525918,
                0.999998790134605,
                0.9999974387177893
            ],
            [
                6.144174601935314e-06,
                1.0129987356706945e-05,
                8.939695238439078e-06,
                1.0129993395088066e-05,
                1.1478770862255766e-05,
                5.422218969769604e-06,
                0.9999485577924947,
                4.222834451327159e-06,
                3.72664061681327e-06,
                3.7266383955882547e-06
            ],
            [
                0.9999993524050474,
                0.9999967112497585,
                0.9999938558275963,
                0.9999910603005013,
                0.9999974387177893,
                0.9999687980737675,
                0.9999970976887071,
                0.9999962733589395,
                0.9999991684721706,
                0.9999992661788445
            ]
        ]
    },
    {
        "q_id": "10670_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.04347648686092e-07,
                2.5612834318257725e-06,
                1.3709570433786157e-06,
                2.561283126535066e-06,
                1.7603432132912532e-06,
                2.6995784182073116e-07,
                1.99472900790731e-06,
                1.9947304347098384e-06,
                1.0677028700266676e-06,
                3.0590237278114764e-07
            ],
            [
                7.889261642134126e-06,
                7.48462272160166e-05,
                0.9669140212537652,
                2.7535691069506297e-05,
                0.8519528019683105,
                0.002800926985980109,
                1.012999459934851e-05,
                0.0003353501082212021,
                7.484623611103256e-05,
                3.535624225110421e-05
            ],
            [
                1.9947299591100915e-06,
                5.422220262264056e-06,
                7.889260703619978e-06,
                4.222834954403545e-06,
                1.3007131564383116e-05,
                5.422219615898437e-06,
                2.561281599914358e-06,
                1.5534977544932838e-06,
                6.144176066051891e-06,
                3.7266410603195545e-06
            ],
            [
                6.962257908044647e-06,
                1.3007125359792008e-05,
                0.00033534997851566154,
                9.42244481487817e-07,
                3.4663278639738526e-07,
                0.00012339452920514607,
                5.4222215550004564e-06,
                4.222834450950777e-06,
                4.785096204868486e-06,
                5.422219615395428e-06
            ],
            [
                0.9975273772516775,
                0.9978172838720957,
                0.9998415637101744,
                0.9986749774104065,
                0.20181322946142374,
                0.9997040429069466,
                0.9978172837214887,
                0.9997965730561288,
                0.9988304897229774,
                0.9997040429916436
            ],
            [
                0.9999251537375835,
                0.9999898700090709,
                0.9999546021423219,
                0.9999869928700342,
                0.0006263342937554944,
                0.9999417087420346,
                0.9998766054585717,
                0.9999756997534849,
                0.0011695103712634648,
                0.9999546021423021
            ],
            [
                1.0677033791437343e-06,
                3.2887490652451393e-06,
                2.260325375615501e-06,
                6.144172401145369e-06,
                4.222832939310065e-06,
                2.561281905058126e-06,
                2.1024339116082313e-07,
                3.2887486731252264e-06,
                1.0677026154619133e-06,
                4.222834451169694e-06
            ],
            [
                6.144173135896795e-06,
                6.962258737979408e-06,
                9.422450431954847e-07,
                1.9947306725669014e-06,
                1.2098662603961589e-06,
                9.422448185101494e-07,
                1.209865250822125e-06,
                3.288749849368453e-06,
                8.31528126775552e-07,
                3.2887490648622804e-06
            ],
            [
                1.9947306725868575e-06,
                5.422218969532895e-06,
                2.902313022659669e-06,
                7.889262584508638e-06,
                1.0129992185539456e-05,
                1.3007129994218719e-05,
                4.785093923916815e-06,
                1.8925141466439755e-05,
                1.7603434229832599e-06,
                3.2887498492518007e-06
            ],
            [
                2.561283431916622e-06,
                2.2603242976733308e-06,
                1.1478772229781076e-05,
                1.760344052693435e-06,
                6.144176798590883e-06,
                2.9023112930659533e-06,
                3.0590215398829087e-07,
                1.9947301968673173e-06,
                3.466327037512053e-07,
                4.222834451065997e-06
            ],
            [
                1.4738976698006875e-05,
                7.889265406438011e-06,
                2.561283431669698e-06,
                2.9023126766832993e-06,
                4.785093923116048e-06,
                2.9023112926779284e-06,
                8.315277301688584e-07,
                1.892515498859713e-05,
                2.4300240727367308e-05,
                0.0002034269439896385
            ],
            [
                3.726637951028202e-06,
                3.288748673035494e-06,
                9.422442569028803e-07,
                4.222833444106873e-06,
                5.42222090821551e-06,
                4.2228334426935205e-06,
                1.5534977545102382e-06,
                4.785093923847183e-06,
                7.889262584508638e-06,
                1.2098655391617266e-06
            ],
            [
                3.2887478886821466e-06,
                1.1478773592796574e-05,
                0.0001795279231873995,
                2.902311292920774e-06,
                1.0129994602057158e-05,
                7.889261643899223e-06,
                5.422221554847581e-06,
                8.93969310584124e-06,
                4.5397884843438604e-05,
                6.962259566204604e-06
            ],
            [
                0.9999984465018751,
                0.9999910603036967,
                0.9999980052702786,
                0.9999980052707554,
                0.999993855826132,
                0.9999977396751634,
                0.9999974387168744,
                0.9999962733589393,
                0.9999599362982876,
                0.9999962733620489
            ],
            [
                4.785095635296322e-06,
                3.2887502412970765e-06,
                1.4738987238035806e-05,
                3.726640616670918e-06,
                0.9999810748562757,
                2.561283126535066e-06,
                5.422220908481809e-06,
                1.147877222702498e-05,
                0.9998601779599017,
                6.144172403470001e-06
            ],
            [
                0.00017952796436829252,
                1.0129993388546776e-05,
                0.9999869928746369,
                0.00012339463262950353,
                0.00010889688203185868,
                1.0129992185539456e-05,
                3.7266379512518984e-06,
                0.9999930377454105,
                2.260325375520937e-06,
                0.9999885212291385
            ],
            [
                1.370956879949281e-06,
                1.2098659719601033e-06,
                2.9023123311055552e-06,
                2.9023119850527192e-06,
                1.2098655392871682e-06,
                1.994729483694599e-06,
                1.8553903548113195e-07,
                1.760343842833246e-06,
                7.338207180761315e-07,
                3.726640172537657e-06
            ],
            [
                2.260324836696773e-06,
                1.1478764016446877e-05,
                3.2887502411564953e-06,
                1.370956879777212e-06,
                1.9947301968382903e-06,
                8.93970056565517e-06,
                6.144174600471243e-06,
                6.962257078553231e-06,
                4.222831934052698e-06,
                1.7603434231097403e-06
            ],
            [
                5.422218321993744e-06,
                6.962257077413455e-06,
                1.0129992184544441e-05,
                1.0129987355343409e-05,
                1.994729007562614e-06,
                9.610242610867865e-05,
                2.144495350169305e-05,
                5.1442195242316055e-05,
                3.120191508185304e-05,
                5.82912723385944e-05
            ],
            [
                2.561283126535066e-06,
                3.288749849368453e-06,
                1.553497754476329e-06,
                7.33821067986608e-07,
                1.760342793515064e-06,
                2.561283432005142e-06,
                1.20986611609532e-06,
                8.315277302649045e-07,
                3.2887486729337966e-06,
                9.422443692090534e-07
            ],
            [
                0.9875683487237582,
                0.9992903295597856,
                0.7057850154599562,
                1.3007126909537681e-05,
                0.11920291419948607,
                0.9964063977737335,
                0.994088932388766,
                0.9796676457668948,
                0.9924227572719334,
                0.9940889309959968
            ],
            [
                7.338209805090567e-07,
                2.9023126769762986e-06,
                3.726641060658489e-06,
                6.96225375833433e-06,
                1.9947290081177566e-06,
                0.0009110512510912221,
                3.7266410608720178e-06,
                1.1478769493540482e-05,
                1.0677029973114952e-06,
                8.315281267649641e-07
            ],
            [
                3.7266401719851935e-06,
                4.785093353787868e-06,
                3.726637951170554e-06,
                5.422218969306048e-06,
                2.2603248366762157e-06,
                6.962253757485831e-06,
                2.2603253754921562e-06,
                2.90231094702116e-06,
                4.785093353013212e-06,
                2.5612828212676906e-06
            ],
            [
                5.829125837510015e-05,
                0.000709670523762994,
                3.288749849209925e-06,
                7.889259755663399e-06,
                3.2887482810382622e-06,
                7.88926352407059e-06,
                3.535625063370289e-05,
                6.9622554185195676e-06,
                1.3007133112662637e-05,
                1.0129994584515446e-05
            ],
            [
                6.144174593765571e-06,
                1.670142980112912e-05,
                2.144495605214694e-05,
                2.902313022554084e-06,
                1.0129988553375097e-05,
                4.222834953312807e-06,
                2.5612825157045092e-06,
                1.892515272576973e-05,
                2.430024065381717e-05,
                4.222832437109582e-06
            ],
            [
                1.3709567165087443e-06,
                1.994729483666479e-06,
                6.475947981975644e-07,
                1.3709570432888404e-06,
                8.315278294001114e-07,
                1.3709572067181944e-06,
                2.2603253755476615e-06,
                1.5534979397267575e-06,
                5.043475885634304e-07,
                2.2603242977555607e-06
            ],
            [
                1.0677032518093368e-06,
                1.553497198908852e-06,
                4.785096205434246e-06,
                2.9023130228444433e-06,
                5.4222209064007344e-06,
                4.222833444229772e-06,
                2.9023116388969785e-06,
                4.222832940777184e-06,
                8.315282258680767e-07,
                1.7603430033991435e-06
            ],
            [
                1.370956716529941e-06,
                1.5534979397140412e-06,
                2.2603251060985603e-06,
                1.2098655392811161e-06,
                2.9023109469023766e-06,
                6.475949525781504e-07,
                3.726640616630245e-06,
                7.338208930391909e-07,
                5.4222202621161125e-06,
                6.475950297942253e-07
            ],
            [
                6.962257079376403e-06,
                2.902313368897403e-06,
                7.889263525261671e-06,
                3.2887486732000038e-06,
                4.785093923847183e-06,
                1.1478769490700865e-05,
                2.902312676941983e-06,
                4.2228324375973415e-06,
                6.962256246896338e-06,
                1.1478764016446877e-05
            ],
            [
                1.5534984953199313e-06,
                5.715005832510042e-07,
                0.00407013847848313,
                9.610243761002552e-05,
                1.209865971934245e-06,
                1.0677033791437343e-06,
                1.6373772528506686e-07,
                1.2098652507847127e-06,
                1.0677031245710902e-06,
                3.466324971396247e-07
            ],
            [
                2.902313368963394e-06,
                1.0677032518501217e-06,
                9.422443692489024e-07,
                6.475945665900901e-07,
                1.5534984953199313e-06,
                5.422217676866151e-06,
                4.785095063939907e-06,
                3.288748673319648e-06,
                3.7266410609940346e-06,
                3.288747889229516e-06
            ],
            [
                6.962254589433702e-06,
                7.889265406438011e-06,
                5.422217676654099e-06,
                0.9999869928653338,
                1.147876812238246e-05,
                3.2887498491620677e-06,
                0.0006263340336123642,
                0.9999885212346115,
                4.785092782936557e-06,
                2.9023112931688987e-06
            ],
            [
                8.315280276505193e-07,
                6.144172404380855e-06,
                1.3709572068272963e-06,
                2.561283126639892e-06,
                9.422443692446175e-07,
                3.7266383942867467e-06,
                4.2228324375512536e-06,
                1.2098653950606901e-06,
                1.0677027427413698e-06,
                2.9023126769762986e-06
            ],
            [
                8.939696303010449e-06,
                2.9023130230133794e-06,
                2.561281294369958e-06,
                1.2098655392090423e-06,
                1.7603430033991435e-06,
                1.1478772218923723e-05,
                5.422219615898437e-06,
                4.222834954687752e-06,
                1.994729245917502e-06,
                4.785095634756674e-06
            ],
            [
                1.5534983101478522e-06,
                8.315278293838516e-07,
                1.637376862471855e-07,
                5.422219615582823e-06,
                7.338208055489796e-07,
                4.222832940577472e-06,
                1.3709573702566696e-06,
                1.637376862471855e-07,
                2.260324567177841e-06,
                3.72664061671159e-06
            ],
            [
                NaN,
                4.006367780569929e-05,
                4.785093922524176e-06,
                1.0129995807699706e-05,
                5.82912723275678e-05,
                0.0007096702963985961,
                2.1444940725789744e-05,
                5.144221363067589e-05,
                1.1478765375285496e-05,
                2.4300231947674342e-05
            ],
            [
                3.726639727940109e-06,
                2.902312677060767e-06,
                1.7603430034151537e-06,
                4.22283545795623e-06,
                2.9023130230846496e-06,
                1.0677032518501217e-06,
                8.939694170518055e-06,
                8.31528126775552e-07,
                1.5534977544932838e-06,
                1.7603432133136672e-06
            ],
            [
                1.0677026154473471e-06,
                2.9023126770343703e-06,
                2.5612828212909852e-06,
                5.04347648686092e-07,
                1.994730434735237e-06,
                9.422443692261927e-07,
                1.5534977545603963e-06,
                7.338210679909462e-07,
                3.2887498493325602e-06,
                9.42244818532859e-07
            ],
            [
                4.785096205582214e-06,
                9.422443692527585e-07,
                8.315279285088606e-07,
                2.561281905293402e-06,
                1.5534983101301911e-06,
                5.715006514074756e-07,
                3.2887478882574116e-06,
                1.2098653949534047e-06,
                6.144176065828368e-06,
                1.0677033791204289e-06
            ],
            [
                1.0129988558792384e-05,
                6.14417606300081e-06,
                4.785095635413826e-06,
                8.48110715470758e-05,
                6.1441775291964935e-06,
                6.962258738574625e-06,
                1.760343213227212e-06,
                1.0129987353242826e-05,
                8.93969310662177e-06,
                3.7266379506485954e-06
            ],
            [
                1.994729008056074e-06,
                6.475946437966953e-07,
                1.994729245822257e-06,
                6.475948753991907e-07,
                1.0677031245623505e-06,
                5.043472879504592e-07,
                3.726639728224814e-06,
                1.0677031245710902e-06,
                9.422443691773458e-07,
                1.0677026154279257e-06
            ],
            [
                1.9947301968963442e-06,
                9.422444815220956e-07,
                7.484623517660659e-05,
                1.994730434798734e-06,
                5.422220262333096e-06,
                5.422219615898437e-06,
                1.4738983712565087e-05,
                2.902311292783513e-06,
                4.22283293977094e-06,
                8.939694171331106e-06
            ],
            [
                9.422445938797133e-07,
                1.3709572068179446e-06,
                4.785095634843714e-06,
                8.315282258832022e-07,
                1.2098658275542144e-06,
                7.338209804399802e-07,
                1.2098658277264215e-06,
                5.715002426410745e-07,
                9.42244818532859e-07,
                1.5534977545102382e-06
            ],
            [
                1.5534981248330927e-06,
                0.9996646497309396,
                1.5534971989258068e-06,
                2.2603240274740096e-06,
                0.9999646437619714,
                1.147876401711502e-05,
                0.99896776894872,
                0.9984988180606753,
                0.9997694932339413,
                0.9999646437366749
            ],
            [
                1.473897838264478e-05,
                2.260325105911487e-06,
                2.9023133689317184e-06,
                0.9999967112493664,
                1.5534983101061718e-06,
                0.9999957771650454,
                0.9999952149032239,
                7.338212428479715e-07,
                1.7603430034439723e-06,
                1.8925150472994405e-05
            ],
            [
                1.9947299592570416e-06,
                2.902312676941983e-06,
                3.7266392839832006e-06,
                2.9023116389761676e-06,
                1.2098662603862553e-06,
                2.5612828212676906e-06,
                2.2603242977802297e-06,
                4.450852641681257e-07,
                4.222833443645997e-06,
                2.5612831265630198e-06
            ],
            [
                1.2098656834922064e-06,
                3.120192622644674e-05,
                6.144173136019732e-06,
                2.9023123309973302e-06,
                2.9023133689924295e-06,
                7.484620881011638e-05,
                5.422217676200406e-06,
                9.422443692390473e-07,
                4.4508505193932864e-07,
                8.939694168225243e-06
            ],
            [
                1.5534975692866768e-06,
                1.473898020682712e-05,
                2.2603242978377903e-06,
                1.9947294833780224e-06,
                1.5534984953298217e-06,
                2.9023126769762986e-06,
                6.144176798255599e-06,
                2.9023119847359636e-06,
                9.422447062094932e-07,
                4.222834451169694e-06
            ],
            [
                1.3709573702566696e-06,
                1.7603436328994344e-06,
                1.3709570433979422e-06,
                2.260323489490968e-06,
                6.475951069985296e-07,
                7.338213304283347e-07,
                1.5534971989809095e-06,
                9.422444815495185e-07,
                9.422449308673789e-07,
                1.7603436329714805e-06
            ],
            [
                1.5534983101478522e-06,
                7.338213304143191e-07,
                2.3823696679230424e-07,
                8.939700563248534e-06,
                1.3709575336654889e-06,
                4.222835457449267e-06,
                9.422443692261927e-07,
                6.475950297971703e-07,
                2.2603248367512505e-06,
                2.9023133689924295e-06
            ],
            [
                1.5534971989258068e-06,
                5.04347348070562e-07,
                1.2098655392222467e-06,
                4.4508505193932864e-07,
                1.5534983100228109e-06,
                7.338209804853638e-07,
                6.475950297768503e-07,
                1.2098656834922064e-06,
                9.422447061953531e-07,
                2.5612822104232297e-06
            ],
            [
                0.9740426428022031,
                4.53978848104088e-05,
                0.0004878570748998634,
                5.422218969029887e-06,
                1.892515499864894e-05,
                5.144221973879711e-05,
                3.2887494571676872e-06,
                3.1201911358551906e-05,
                2.430023203740195e-05,
                0.9997965730536958
            ],
            [
                2.5612825159677387e-06,
                1.2098659717548853e-06,
                6.144173136645595e-06,
                8.939699496489538e-06,
                1.7603436329714805e-06,
                6.475947209826952e-07,
                1.994729959224386e-06,
                2.9023116389761676e-06,
                1.1478773589247056e-05,
                3.2887506334560605e-06
            ],
            [
                1.9947294835866542e-06,
                9.422444815563743e-07,
                1.5534971989258068e-06,
                2.2603248366762157e-06,
                3.7266406163624873e-06,
                8.939698431942181e-06,
                5.715005151400212e-07,
                6.475950297574138e-07,
                7.338209804773549e-07,
                1.3709576970824327e-06
            ],
            [
                5.715004470295662e-07,
                2.56128159999123e-06,
                0.9626731110495138,
                1.7603427936183298e-06,
                0.0003799845693625935,
                0.798186784940666,
                8.939695237162584e-06,
                9.422447062030659e-07,
                0.9940889320412577,
                1.7603425837494853e-06
            ],
            [
                1.0677027427413698e-06,
                9.422444815495185e-07,
                8.315277302747361e-07,
                1.2098653950205268e-06,
                2.6995790618252024e-07,
                3.288749065209246e-06,
                5.715007195384861e-07,
                4.222835457003754e-06,
                7.889260703906985e-06,
                1.9947290080905435e-06
            ],
            [
                1.3709578605617394e-06,
                3.28874867308036e-06,
                3.2887498492518007e-06,
                2.5612831266165976e-06,
                1.0677024881887838e-06,
                2.5612834319655406e-06,
                3.2887490652810324e-06,
                4.222833947820683e-06,
                5.715006514105942e-07,
                6.144176798870286e-06
            ],
            [
                4.006368255290478e-05,
                3.120191507912884e-05,
                2.1444945825992654e-05,
                1.4738981969240237e-05,
                4.78509563509613e-06,
                6.605215984910964e-05,
                0.9997388096313622,
                2.1444950965906214e-05,
                1.3007128455545335e-05,
                6.144174601410037e-06
            ],
            [
                1.5534973841309562e-06,
                8.315280275673297e-07,
                1.3709576971061233e-06,
                3.2887482811579057e-06,
                2.3823693839057394e-07,
                7.338213304283347e-07,
                1.994729483694599e-06,
                8.315282258832022e-07,
                4.2228329408924035e-06,
                5.715005832762133e-07
            ],
            [
                8.481102058169456e-05,
                1.4738985458142157e-05,
                1.012998856078241e-05,
                0.0028009264137029396,
                6.605212845214661e-05,
                0.0003353500280991938,
                0.000552778715325212,
                0.0008040861070278425,
                5.829127204384482e-05,
                0.00010889696035142715
            ],
            [
                3.927862939113312e-07,
                3.726638395415398e-06,
                1.5534971989427613e-06,
                2.260323758882316e-06,
                1.2098658277335738e-06,
                1.3709570434054234e-06,
                1.2098658276598493e-06,
                6.475946438022905e-07,
                5.04347528438253e-07,
                1.2098653950403334e-06
            ],
            [
                3.7266392836374875e-06,
                1.5534981249023245e-06,
                1.5534971989568904e-06,
                1.2098659719441482e-06,
                1.9947301970287804e-06,
                5.043476486833397e-07,
                3.72664106039412e-06,
                3.726637951170554e-06,
                2.699577774560111e-07,
                1.1478772219925941e-05
            ],
            [
                1.4738987232298539e-05,
                6.144176796422715e-06,
                7.889265404328504e-06,
                1.0129990973871981e-05,
                2.7535687733194446e-05,
                4.222835455966783e-06,
                2.2603237566579968e-06,
                4.006369693910372e-05,
                6.144175332283612e-06,
                6.962257906132355e-06
            ],
            [
                3.7266388395620047e-06,
                8.939699500164542e-06,
                4.785095063591747e-06,
                2.260324567268294e-06,
                0.00010889687020208962,
                1.0129989769722525e-05,
                4.222833443461647e-06,
                7.889261641674914e-06,
                6.144174600605357e-06,
                2.144495859792026e-05
            ],
            [
                1.0129987346793673e-05,
                3.288749065167371e-06,
                7.338208055436404e-07,
                3.288748280837859e-06,
                1.994730434816876e-06,
                4.222833443891798e-06,
                7.889264465842609e-06,
                2.5612819053399912e-06,
                1.5534977545497995e-06,
                2.3823688159069855e-07
            ],
            [
                4.785093353187292e-06,
                2.5612812945889277e-06,
                2.5612812945260317e-06,
                1.553497754476329e-06,
                4.785093353100252e-06,
                1.994729007562614e-06,
                9.422442569028803e-07,
                5.422219615750493e-06,
                2.260323489435463e-06,
                4.222834450029027e-06
            ],
            [
                2.1444953520182517e-05,
                2.753569108453202e-05,
                1.6701415865641523e-05,
                1.3007125348293483e-05,
                8.939700565996655e-06,
                2.260324297702111e-06,
                1.6701421840804172e-05,
                2.902311984783477e-06,
                6.962259568509485e-06,
                6.962253758182361e-06
            ],
            [
                1.0129988561372045e-05,
                1.9947292457750883e-06,
                3.28875024125221e-06,
                1.147876538789672e-05,
                0.9940889311519651,
                8.939700564890901e-06,
                2.4300243612265703e-05,
                5.715003107655392e-07,
                5.422217676575195e-06,
                1.3007130007042183e-05
            ],
            [
                1.3709572067680694e-06,
                2.5612825157464395e-06,
                8.315277301416325e-07,
                2.2603251060985603e-06,
                4.785093921662482e-06,
                1.7603427935678977e-06,
                9.422443692261927e-07,
                1.3709570433536782e-06,
                1.3709576970824327e-06,
                7.338208930144969e-07
            ],
            [
                8.315281267581578e-07,
                4.222834450743383e-06,
                3.9278638755456876e-07,
                1.0677028700203557e-06,
                3.466327037548308e-07,
                1.2098659718990333e-06,
                2.561282515886208e-06,
                3.72664017246987e-06,
                1.7603434231097403e-06,
                1.0677024881683915e-06
            ],
            [
                1.1478765380380096e-05,
                6.144172403715875e-06,
                6.962256247656188e-06,
                1.3007133113372426e-05,
                1.760343842700361e-06,
                1.4738981962698681e-05,
                1.1478773573796204e-05,
                1.0129987353242826e-05,
                4.785096775920397e-06,
                7.48462084550782e-05
            ],
            [
                9.422444815679433e-07,
                5.043472278299047e-07,
                3.9278624708775595e-07,
                2.2603237589028734e-06,
                7.338211554688417e-07,
                1.760342793583908e-06,
                1.994729483694599e-06,
                8.315284241560147e-07,
                1.5534981249023245e-06,
                4.450849458200093e-07
            ],
            [
                3.288750241374845e-06,
                9.610243718772679e-05,
                8.939694161232988e-06,
                0.9902915242527491,
                1.7603430034151537e-06,
                6.605216017444941e-05,
                6.962257907880012e-06,
                0.9902915223007898,
                5.144222588434628e-05,
                0.9890130584117632
            ],
            [
                2.9023112926779284e-06,
                1.9947304343996117e-06,
                3.2887478890769702e-06,
                1.5534973841154145e-06,
                2.2603242978377903e-06,
                2.260324028372372e-06,
                3.288750633139005e-06,
                1.9947299592570416e-06,
                1.7603432132464244e-06,
                4.785096775389454e-06
            ],
            [
                0.005220126568918386,
                0.9997388097005722,
                0.9994472212575333,
                8.481107155633124e-05,
                0.00013982208891768504,
                0.9998415638049544,
                0.9996200154146964,
                0.0001398221400745833,
                0.0008040858115581793,
                0.00020342692313003025
            ],
            [
                2.2603242977555607e-06,
                4.222833443261934e-06,
                2.902313023039776e-06,
                1.5534975693036317e-06,
                3.2887494573561262e-06,
                2.9023116383479355e-06,
                1.2098655392464547e-06,
                6.144176065940129e-06,
                2.260323758923431e-06,
                2.5612822103812995e-06
            ],
            [
                3.7266388395111645e-06,
                1.5534975693707442e-06,
                1.553498495281783e-06,
                1.2098658277082653e-06,
                2.902313023039776e-06,
                4.222833443891798e-06,
                2.902311639073834e-06,
                1.7603440522579571e-06,
                4.785093923516432e-06,
                2.9023130223693095e-06
            ],
            [
                0.0003799844338970466,
                0.020332352786129763,
                0.9399133525610677,
                0.000379984561148874,
                0.9796676483269281,
                0.014063625868110548,
                0.817574478416099,
                8.939694170518055e-06,
                6.962256249327861e-06,
                0.9902915227126712
            ],
            [
                6.47594875389178e-07,
                1.6701425818232042e-05,
                3.2887506334201674e-06,
                2.56128159999123e-06,
                4.7850944943330625e-06,
                3.2887506332466845e-06,
                4.222833947498071e-06,
                1.9947301970106386e-06,
                2.260323758923431e-06,
                1.209865971934245e-06
            ],
            [
                4.785092782396909e-06,
                8.315277302701984e-07,
                9.422448185264317e-07,
                1.3709576970387918e-06,
                3.288749849060371e-06,
                1.994729245722476e-06,
                2.5612834315811786e-06,
                1.4738978453315019e-05,
                1.7603434231505666e-06,
                3.288748280837859e-06
            ],
            [
                0.9999938558239339,
                4.222833443046859e-06,
                3.2887490653408545e-06,
                0.9999938558246666,
                2.902312331125353e-06,
                0.9999921107336532,
                3.2887490652810324e-06,
                2.5612828208367393e-06,
                4.222834954607099e-06,
                4.7850956351657615e-06
            ],
            [
                6.9622562492265485e-06,
                1.5534984952662413e-06,
                9.422443692446175e-07,
                2.561282515988704e-06,
                3.726640172290235e-06,
                2.9023116387069255e-06,
                6.144172404028807e-06,
                4.222834450743383e-06,
                5.422220908314139e-06,
                2.5612822106421996e-06
            ],
            [
                1.3007128452848148e-05,
                6.962254588116627e-06,
                6.1441753335241615e-06,
                1.3007130008887624e-05,
                8.481105088152878e-05,
                1.4738983717819781e-05,
                1.3007130006521673e-05,
                8.939697368663308e-06,
                1.670142980380249e-05,
                1.300712380997554e-05
            ],
            [
                1.0677026154551157e-06,
                2.90231094702116e-06,
                9.422447062030659e-07,
                2.561282210618905e-06,
                1.2098652507957165e-06,
                3.7266401724291984e-06,
                2.2603248366762157e-06,
                3.7266392835764795e-06,
                1.2098655392574583e-06,
                3.7266397280960194e-06
            ],
            [
                1.6701427794095925e-05,
                2.1444943287710254e-05,
                5.422219615286937e-06,
                6.9622570786798724e-06,
                2.7535687794499397e-05,
                1.1478772229300848e-05,
                4.0063687367153544e-05,
                2.4300237801450912e-05,
                1.6701427812931038e-05,
                3.120192251903545e-05
            ],
            [
                5.422219615967477e-06,
                8.93969630348202e-06,
                2.260323758676741e-06,
                1.209865394936899e-06,
                8.939698434495167e-06,
                4.222831933795376e-06,
                1.0129992184544441e-05,
                4.78509278207486e-06,
                8.93970056529743e-06,
                2.902311292831027e-06
            ],
            [
                5.043474081831035e-07,
                4.2228319341064674e-06,
                1.5534977545497995e-06,
                1.2098661161927025e-06,
                7.889263525534328e-06,
                3.288749456964293e-06,
                3.726638395415398e-06,
                1.3709576970387918e-06,
                6.1441767987808774e-06,
                2.2603251061664e-06
            ],
            [
                4.7850944943330625e-06,
                1.5534971989258068e-06,
                2.902311639073834e-06,
                4.4508515804389805e-07,
                1.0677031245953668e-06,
                1.3709573701637772e-06,
                2.902313022984344e-06,
                2.260323489435463e-06,
                1.3709568799106278e-06,
                3.726637951028202e-06
            ],
            [
                0.9875683467571195,
                0.00012339455975396863,
                1.30071346612026e-05,
                1.994729721396435e-06,
                1.0129994583336173e-05,
                2.1444950959196957e-05,
                2.9023130229209922e-06,
                0.00037998442912137286,
                0.9924227583784683,
                4.785096776251149e-06
            ],
            [
                8.939699498814873e-06,
                2.9023133689924295e-06,
                2.561282210562998e-06,
                1.994730434847717e-06,
                3.726641060536473e-06,
                3.7266388378775e-06,
                1.3007131561425676e-05,
                4.222834451169694e-06,
                2.2603245672497918e-06,
                1.0677033791437343e-06
            ],
            [
                8.939694166338962e-06,
                7.889261644358435e-06,
                6.9622570777680525e-06,
                1.3007123764099744e-05,
                6.144176796780352e-06,
                6.962256246693712e-06,
                1.4738988988010078e-05,
                8.939700559833708e-06,
                1.0129994600859455e-05,
                2.1444943241369593e-05
            ],
            [
                3.2887506330851655e-06,
                4.785096205651846e-06,
                2.5612834318257725e-06,
                1.8925148215055747e-05,
                1.7603425836678333e-06,
                3.726639282763036e-06,
                4.45084892734047e-07,
                6.9622595675850006e-06,
                2.5612831263510383e-06,
                1.5534979395798164e-06
            ],
            [
                3.2887494572514376e-06,
                1.2098659719441482e-06,
                2.2603253755476615e-06,
                1.2098661161861e-06,
                1.209865827698362e-06,
                3.7266406162947e-06,
                1.3709570433885908e-06,
                1.9947306725451314e-06,
                4.450852111100568e-07,
                3.2887482807780376e-06
            ],
            [
                4.785093923916815e-06,
                1.7603425836870455e-06,
                1.7603430034151537e-06,
                1.3709575336530204e-06,
                1.760344052693435e-06,
                1.0677028700266676e-06,
                8.315278293951957e-07,
                5.043472879525233e-07,
                8.3152792852928e-07,
                1.370957370247318e-06
            ],
            [
                7.889265397425975e-06,
                3.9278615343222713e-07,
                2.699577452700046e-07,
                7.338210679755959e-07,
                2.3823693839057394e-07,
                2.2603245672867952e-06,
                4.2228349543420954e-06,
                2.5612822107167428e-06,
                8.315277302588544e-07,
                8.939696295432792e-06
            ],
            [
                2.753570421361326e-05,
                1.0129995808178788e-05,
                0.9991959140675041,
                0.00037998456785914007,
                0.00023050671468912736,
                0.9997694932062746,
                0.9997694932634524,
                0.00015843621564705344,
                0.0001584362351581413,
                0.9995121428889967
            ],
            [
                5.043474081957179e-07,
                3.4663278639044955e-07,
                1.3709568799368123e-06,
                2.5612819044617824e-06,
                6.475946437966953e-07,
                1.994729721469003e-06,
                5.715007195119775e-07,
                8.315282258956806e-07,
                8.315281267649641e-07,
                1.7603432132912532e-06
            ],
            [
                1.553498309846199e-06,
                2.2603234894560207e-06,
                1.6701429804288556e-05,
                2.902312330965655e-06,
                1.6701423813386632e-05,
                1.7603436329978976e-06,
                2.4300232017599995e-05,
                6.9622554187981796e-06,
                6.14417753110761e-06,
                5.422218969661113e-06
            ],
            [
                2.5612834318583854e-06,
                1.760344052632596e-06,
                2.902312330759764e-06,
                1.5534981248881956e-06,
                4.7850944942634305e-06,
                1.1478768122069266e-05,
                3.7266383950934104e-06,
                1.3007126904001353e-05,
                1.01299933928585e-05,
                3.28874945711983e-06
            ],
            [
                2.144494836302712e-05,
                0.0017007222025156351,
                0.00013982203739258017,
                0.9999852610180304,
                5.144223805268551e-05,
                9.610242631353545e-05,
                0.9999885212277729,
                0.9999938558232027,
                0.9999898700126435,
                2.7535691022025e-05
            ],
            [
                3.2887486731641103e-06,
                1.7603427935518875e-06,
                8.939695237341456e-06,
                1.7603434231385591e-06,
                2.9023112928785396e-06,
                7.338210679695891e-07,
                1.2098655392662613e-06,
                2.9023133689924295e-06,
                4.222834953896582e-06,
                2.260324836696773e-06
            ],
            [
                1.7603425835173373e-06,
                2.1444940715959902e-05,
                4.785093923768848e-06,
                2.561282210618905e-06,
                2.2603242976404388e-06,
                4.7850944902944094e-06,
                4.785092780203504e-06,
                1.5534983101301911e-06,
                1.0129988564099116e-05,
                6.1441775291964935e-06
            ],
            [
                1.3709576970213355e-06,
                4.222831934156396e-06,
                6.475947981472062e-07,
                2.260324028331257e-06,
                2.2603240283888175e-06,
                1.760344052650207e-06,
                1.3709576968380446e-06,
                7.33821067986608e-07,
                4.222833444168322e-06,
                2.561282515820982e-06
            ],
            [
                5.829125847900465e-05,
                0.00012339461870253485,
                0.0004878572191147486,
                7.484626275143474e-05,
                0.00010889686987093214,
                3.120192618433512e-05,
                5.144223202241074e-05,
                0.00015843621647461487,
                4.539789022795839e-05,
                8.939698433145498e-06
            ],
            [
                9.610243761002552e-05,
                2.4300252293748645e-05,
                5.422219615750493e-06,
                6.962259567749634e-06,
                0.9971990730289771,
                4.222833444467892e-06,
                0.9953904278740409,
                1.9947306723745965e-06,
                2.561282515662579e-06,
                3.5356242236570075e-05
            ],
            [
                7.889265404959923e-06,
                4.222833947674739e-06,
                7.484622717027548e-05,
                1.209866116149238e-06,
                4.5397890257685224e-05,
                9.422445938861406e-07,
                5.422221554670048e-06,
                2.9023112930659533e-06,
                1.209866116170145e-06,
                9.422442569028803e-07
            ],
            [
                4.222834950908573e-06,
                1.2098652507583041e-06,
                1.06770286991985e-06,
                1.7603432132464244e-06,
                8.315283250082584e-07,
                4.2228319341064674e-06,
                2.561282210562998e-06,
                5.715003788933905e-07,
                1.370957043323753e-06,
                4.222832940715735e-06
            ],
            [
                0.9982992773215349,
                0.9994472213341341,
                2.7535704220525098e-05,
                0.0006263341654327772,
                2.144495607492721e-05,
                0.10669059181535787,
                0.003172683041300812,
                1.892514146884943e-05,
                0.9989677688543657,
                3.120190763922401e-05
            ],
            [
                2.561282210590951e-06,
                9.422448184681581e-07,
                3.726640616670918e-06,
                2.561281294616881e-06,
                1.0677029972270124e-06,
                4.222834954607099e-06,
                1.0677033790621648e-06,
                1.7603434230921292e-06,
                6.1441767987808774e-06,
                2.5612815996930587e-06
            ],
            [
                4.539786840021175e-05,
                2.2603248366762157e-06,
                3.7266379507909478e-06,
                3.2887498491620677e-06,
                4.2228344508893285e-06,
                3.726637951079042e-06,
                2.2603245672497918e-06,
                8.939699500489763e-06,
                1.3007123809644304e-05,
                1.3709568798607528e-06
            ],
            [
                1.3709575336093795e-06,
                1.9947292456607935e-06,
                4.222835457664342e-06,
                7.88926164421493e-06,
                1.7603440526133836e-06,
                2.260323758806253e-06,
                1.7603427934206038e-06,
                2.5612812946681295e-06,
                1.0677027427068966e-06,
                1.7603425834885192e-06
            ],
            [
                3.0590211752206485e-07,
                3.7266410609160796e-06,
                5.422217029736466e-06,
                6.475945665671197e-07,
                5.715005832798517e-07,
                1.994729008056074e-06,
                3.2887486731252264e-06,
                9.422445938557184e-07,
                1.7603432132624344e-06,
                1.5534981249023245e-06
            ],
            [
                3.2887486732358968e-06,
                1.5534983100920427e-06,
                4.222833444229772e-06,
                1.1478773597390071e-05,
                0.9999967112521109,
                5.4222202609325635e-06,
                3.726641060658489e-06,
                8.315280276096808e-07,
                8.93969842784439e-06,
                0.0009110513497434305
            ],
            [
                2.561283126535066e-06,
                3.28875024125221e-06,
                1.3709573701637772e-06,
                5.043475885159548e-07,
                7.338208055536515e-07,
                1.2098656834723998e-06,
                6.962257909121104e-06,
                5.422221553910605e-06,
                1.7603425834885192e-06,
                1.209865539274514e-06
            ],
            [
                3.288749064599064e-06,
                1.6701427808495672e-05,
                1.1478770855741353e-05,
                7.889261642134126e-06,
                6.144174600180663e-06,
                4.7850927830845245e-06,
                6.144176798691468e-06,
                6.962253757485831e-06,
                2.2603242977802297e-06,
                1.0129995803996048e-05
            ],
            [
                3.288749065077638e-06,
                5.4222183231674305e-06,
                6.14417313533799e-06,
                1.3709578602637359e-06,
                1.01299933928585e-05,
                5.422217030362759e-06,
                1.0129992183991656e-05,
                1.7603434231241496e-06,
                1.5534971986912662e-06,
                1.4738985462538942e-05
            ],
            [
                0.9933071492366937,
                6.962259568889411e-06,
                0.9669140188702279,
                0.9902915226410396,
                2.260323758939877e-06,
                1.8925141470949294e-05,
                1.6701421841259862e-05,
                0.4073334000459302,
                0.9890130598386779,
                0.9933071475278437
            ],
            [
                3.726639283901856e-06,
                1.7603430034439723e-06,
                1.2098658273495464e-06,
                1.370957533676711e-06,
                1.7603430033607189e-06,
                2.5612812947240366e-06,
                1.3709572068179446e-06,
                2.9023130228840374e-06,
                3.2887502408573863e-06,
                5.715007195431641e-07
            ],
            [
                1.0677027427340866e-06,
                1.2098656835076114e-06,
                1.0677027427413698e-06,
                1.0677024881941248e-06,
                3.7266379513434106e-06,
                1.9947294836483373e-06,
                2.2603251061664e-06,
                5.04347348056113e-07,
                2.561282210701601e-06,
                5.043474081957179e-07
            ],
            [
                1.300712845923622e-05,
                9.422449307649713e-07,
                8.939695228576743e-06,
                6.144176066051891e-06,
                6.144173868178388e-06,
                5.42221961567159e-06,
                5.422221554374162e-06,
                1.0129995808639442e-05,
                3.726637951170554e-06,
                6.14417386791016e-06
            ],
            [
                0.5926665999540698,
                0.9989677688127107,
                3.2887494543261513e-06,
                0.04208773001828045,
                1.8925157260443894e-05,
                7.889262584350785e-06,
                2.1444950963097686e-05,
                5.8291244525692116e-05,
                1.6701425796662802e-05,
                3.120191878631223e-05
            ],
            [
                3.4663257974540203e-07,
                1.6701419850845044e-05,
                3.288749065209246e-06,
                0.8807970826714614,
                4.222835458002318e-06,
                2.260323758923431e-06,
                6.475951069696694e-07,
                6.962258738435319e-06,
                5.422220908703723e-06,
                5.144222579863794e-05
            ],
            [
                4.785096775998733e-06,
                4.222833444283541e-06,
                3.7266388397382506e-06,
                7.338208055369664e-07,
                1.7603440526133836e-06,
                2.5612831264302397e-06,
                1.209865971934245e-06,
                5.422218321855664e-06,
                2.6995780963846126e-07,
                4.785096205651846e-06
            ],
            [
                8.3152792852928e-07,
                3.288750633025344e-06,
                1.370957206753107e-06,
                4.785093353352668e-06,
                2.561283126535066e-06,
                1.7603432132784448e-06,
                2.2603240282243575e-06,
                2.561282515914161e-06,
                1.8925145977014425e-05,
                1.0129990977004428e-05
            ],
            [
                4.785092782396909e-06,
                6.9622537593854575e-06,
                2.260323489192885e-06,
                1.8925150486764003e-05,
                8.939694171135975e-06,
                5.04347468309184e-07,
                7.889265394555899e-06,
                3.059021904559123e-07,
                2.9023133690188264e-06,
                6.962253756004122e-06
            ],
            [
                2.2603234893594005e-06,
                3.288749065209246e-06,
                5.04347648686092e-07,
                8.3152822584917e-07,
                3.2887502412970765e-06,
                5.043474683204221e-07,
                1.3709573702111586e-06,
                6.475947981904966e-07,
                1.3007125356952865e-05,
                1.5534975693036317e-06
            ],
            [
                6.962257077413455e-06,
                7.889263523869684e-06,
                2.1444948379722244e-05,
                1.3007134655902864e-05,
                1.0129994599901296e-05,
                1.3007128451712492e-05,
                5.422218320820059e-06,
                8.939699482277362e-06,
                4.222835457280279e-06,
                7.88926258381982e-06
            ],
            [
                7.889259763857458e-06,
                1.994729721396435e-06,
                0.9924227596285723,
                5.422220908481809e-06,
                1.7603432131855856e-06,
                3.2887482810801374e-06,
                6.144172404380855e-06,
                0.9988304898365288,
                3.2887482812506295e-06,
                4.785096775676685e-06
            ]
        ]
    },
    {
        "q_id": "10703_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.0677031245623505e-06,
                8.315284241401329e-07,
                4.785096775580942e-06,
                7.33820980469346e-07,
                8.315281267430323e-07,
                1.2098662603862553e-06,
                2.7535687785784475e-05,
                2.9023133689317184e-06,
                9.422444815409489e-07,
                7.338210679695891e-07
            ],
            [
                0.9999962733616049,
                0.9999938558246684,
                0.9986749774259654,
                0.9999962733589399,
                0.9999251537733607,
                0.9999724643056594,
                0.9999962733607165,
                0.9968273178099245,
                0.9999952149032251,
                0.9999962733607165
            ],
            [
                0.9996646499349717,
                0.9998204720791269,
                0.9999910603068949,
                0.9999945777823239,
                0.9999910603015666,
                0.9999339478477418,
                0.999992110738357,
                0.999989870004194,
                0.9999921107392975,
                0.9997694932617488
            ],
            [
                2.7535694358938284e-05,
                1.1478770859624945e-05,
                2.4300237797030833e-05,
                4.785094494185095e-06,
                1.473897844934719e-05,
                3.535624227579939e-05,
                5.422220908560712e-06,
                1.4738980211116665e-05,
                6.144172403201774e-06,
                3.535623805665442e-05
            ],
            [
                0.9999756997621958,
                0.9996200154320635,
                0.9999485577802874,
                0.9999687980813792,
                0.9999485578047951,
                0.9999756997476946,
                0.9998601778933952,
                0.9999810748540218,
                0.9999810748585449,
                0.9996200155273005
            ],
            [
                1.0129987352948008e-05,
                4.785096204415878e-06,
                3.120192622962497e-05,
                1.6701425821573757e-05,
                1.892514597343433e-05,
                6.1441724013465395e-06,
                8.939696303010449e-06,
                2.9023116388547446e-06,
                1.7603436329554703e-06,
                6.144174601588856e-06
            ],
            [
                0.9997388097861138,
                0.9998204720997304,
                0.9997965731009141,
                0.9997388095679886,
                0.9998911031041878,
                0.999915188948705,
                0.9998766053669899,
                0.9998204719706058,
                0.9999417087415846,
                0.9998415638218053
            ],
            [
                0.9999957771655498,
                0.999978555054167,
                0.9999930377462414,
                0.9999546021098239,
                0.9999970976866313,
                0.9999962733607163,
                0.9999952149072171,
                0.9999970976890534,
                0.9999785550592704,
                0.9999974387168737
            ],
            [
                0.9999869928684425,
                0.9999885212318809,
                0.9999898700114386,
                0.999994577779738,
                0.9999970976880155,
                0.999968798088748,
                0.999996711250935,
                0.9999930377454121,
                0.999981074854035,
                0.9999977396762413
            ],
            [
                4.539789024909747e-05,
                1.6701417848916754e-05,
                4.006370166911356e-05,
                8.93969629982328e-06,
                3.120191863784327e-05,
                2.9023133689924295e-06,
                8.481102080505906e-05,
                0.00013982213943985195,
                9.610242591710606e-05,
                2.4300237812059105e-05
            ],
            [
                1.2098658277082653e-06,
                5.422220908560712e-06,
                7.338213304016384e-07,
                6.962256248606003e-06,
                2.561282210087786e-06,
                1.7603440526806268e-06,
                8.939695237959376e-06,
                1.9947290080125335e-06,
                1.7603440524340693e-06,
                3.7266401719174067e-06
            ],
            [
                0.9999974387184004,
                0.9999921107355353,
                0.999996711250935,
                0.9998601779604814,
                0.999994577780385,
                0.9999921107374162,
                0.9999970976873235,
                0.9997388096939148,
                0.9999957771680666,
                0.9999930377412626
            ],
            [
                0.9999938558268643,
                0.999995777164543,
                0.9992903296886997,
                0.9999945777823238,
                0.9999957771670599,
                0.9991959140972007,
                0.9999945777829721,
                0.9999910603015711,
                0.9999970976890531,
                0.9999885212332488
            ],
            [
                0.9988304899566076,
                0.9982992777682316,
                0.9999938558239343,
                0.9999952149037944,
                0.999993855823935,
                0.9988304898843972,
                0.9999952149072178,
                0.9999038975970451,
                0.9999810748472603,
                0.9978172839775712
            ],
            [
                0.9999921107374171,
                0.9999962733611605,
                0.9999930377462434,
                0.9999952149049361,
                0.9999938558261328,
                0.9999938558246677,
                0.9999945777803847,
                0.9999945777797384,
                0.9999038976201232,
                0.9999810748450443
            ],
            [
                0.9999646437620014,
                0.9999417087137769,
                0.9999339478555994,
                0.9999756997563948,
                0.9999646437451117,
                0.9999832985761785,
                0.9999546021476804,
                0.9999417087346426,
                0.999738809726069,
                0.999972464295811
            ],
            [
                0.9999952149049363,
                0.9999898700114389,
                0.9999724643024012,
                0.9999646437535807,
                0.9999945777784455,
                0.9999898700126436,
                0.9999898700102333,
                0.9997965729858548,
                0.9999785550592685,
                0.9999852610127709
            ],
            [
                0.9465966722716813,
                0.9999724643123508,
                0.999978555046496,
                0.9999982396572067,
                0.9998204720213597,
                0.9997965729358722,
                0.999195914014284,
                0.9999952149060768,
                0.9989677689441583,
                0.9953904281539361
            ],
            [
                0.9986749773235232,
                0.9999151889789345,
                0.9947798735906777,
                0.9998415637081989,
                0.9992903294555563,
                0.9998601779761566,
                0.9999038975509473,
                0.9986749775955729,
                0.9999038975738199,
                0.99973880966303
            ],
            [
                0.9999869928684474,
                0.9998601778770367,
                0.9999962733611607,
                0.9999910602994353,
                0.9998204719962792,
                0.9999952149032243,
                0.9993736658880532,
                0.9999952149043652,
                0.9999982396561572,
                0.9999930377454169
            ],
            [
                0.042087729717900216,
                0.9999885212359836,
                0.9992903295459984,
                0.9999599363222165,
                0.01098694288359231,
                0.008577484590043944,
                0.9999546021368724,
                0.994088931573353,
                0.0040701380254611315,
                0.9999852610162969
            ],
            [
                0.9999898700090257,
                0.9999885212359862,
                0.9999921107383588,
                0.999981074849527,
                0.9999885212332457,
                0.9993736658730422,
                0.9990889489923074,
                0.9999921107355357,
                0.9999869928699907,
                0.9999785550491002
            ],
            [
                0.9999962733620497,
                0.9999970976866314,
                0.999998932296621,
                0.9999962733620497,
                0.9999938558275963,
                0.9999962733598284,
                0.9999952149049361,
                0.9999930377412631,
                0.9999977396757024,
                0.9999980052700409
            ],
            [
                0.9999986290432842,
                0.9999970976876705,
                0.9982992774826225,
                0.9999986290432837,
                0.9999989322973847,
                0.9999974387184011,
                0.9997040429972408,
                0.9999952149032306,
                0.999860177893912,
                0.9999952149032255
            ],
            [
                3.2887506332945414e-06,
                5.422218322664422e-06,
                6.9622545877746946e-06,
                3.1201907631845964e-05,
                6.605214405691688e-05,
                5.829124449727741e-05,
                1.4738983697605298e-05,
                8.939696300636336e-06,
                2.56128221024619e-06,
                5.8291272439530227e-05
            ],
            [
                0.9999930377437519,
                0.9999945777823244,
                0.9999921107336545,
                0.9999945777790932,
                0.9999930377454136,
                0.9959298632052485,
                0.9971990728611958,
                0.9997965729876068,
                0.999985261023306,
                0.9999930377462417
            ],
            [
                0.9999038975857045,
                0.9997694932337402,
                0.9999898700090233,
                0.999994577779092,
                0.9999785550490502,
                0.9999921107355357,
                0.9999646437451225,
                0.9999885212346163,
                0.9999898700090235,
                0.9999898700114392
            ],
            [
                2.561282821069686e-06,
                5.422220262195015e-06,
                1.3709572067181944e-06,
                3.1201926243586504e-05,
                1.5534981249164537e-06,
                2.2603242978213447e-06,
                8.939698428917621e-06,
                2.561282515988704e-06,
                1.370957370247318e-06,
                1.0677032518578904e-06
            ],
            [
                2.2603248365960415e-06,
                1.0677029972639127e-06,
                1.760342793515064e-06,
                6.144173869240119e-06,
                4.222831934052698e-06,
                1.3709570433661467e-06,
                4.222832940834793e-06,
                5.715005151485975e-07,
                1.7603434230088762e-06,
                2.9023130226068764e-06
            ],
            [
                7.889259763010786e-06,
                6.605212099816935e-05,
                5.144220735301014e-05,
                1.892515274546026e-05,
                2.1444940737257882e-05,
                1.1478772225646932e-05,
                7.889264465555602e-06,
                7.484622663935169e-05,
                2.753569108924008e-05,
                5.829125832548044e-05
            ],
            [
                0.9999832985702026,
                0.9999038975746911,
                0.9996646498955254,
                0.9999945777829707,
                0.9998601779270238,
                0.9999869928730917,
                0.9999898700066082,
                0.9990889488283816,
                0.9999724643056453,
                0.9984988176610743
            ],
            [
                1.5534975692866768e-06,
                1.994729245822257e-06,
                1.2098661161602417e-06,
                1.0677032518578904e-06,
                1.2098659719232413e-06,
                5.043472278255469e-07,
                1.3709568799368123e-06,
                2.5612831265630198e-06,
                4.45084998867117e-07,
                9.422447062150634e-07
            ],
            [
                2.902311292371731e-06,
                4.2228334417410455e-06,
                2.9023119844508833e-06,
                3.726640613122271e-06,
                3.288749065077638e-06,
                2.260323489192885e-06,
                1.1478773593172406e-05,
                3.2887506330851655e-06,
                8.9396941718352e-06,
                6.962256245579263e-06
            ],
            [
                0.9999810748540451,
                0.9999930377445821,
                0.9999962733589397,
                0.9999910603005024,
                0.9999038976204043,
                0.9999967112501509,
                0.9999962733616053,
                0.999989870004196,
                0.9999885212291416,
                0.9999038975634668
            ],
            [
                0.9999938558253989,
                0.9997388097282729,
                0.9999957771645432,
                0.9995694429806764,
                0.9999957771645426,
                0.9999974387168735,
                0.9995694428284169,
                0.9997388096675669,
                0.9999938558224702,
                0.9999756997506166
            ],
            [
                0.9940889323778207,
                0.97068776908965,
                0.9940889304624211,
                0.9982992779854527,
                0.9875683498442849,
                0.9978172837701698,
                0.9964063970734305,
                0.9989677690879704,
                0.9989677690687634,
                0.9982992778162615
            ],
            [
                2.9023126768258393e-06,
                1.2098659718990333e-06,
                2.260324297492425e-06,
                6.962253756232077e-06,
                1.0677028699742299e-06,
                1.370957370146321e-06,
                1.7603438427243761e-06,
                1.994729245555571e-06,
                3.7266379500520703e-06,
                8.315279284937352e-07
            ],
            [
                0.9953904283825529,
                0.0003353500280991938,
                0.9669140248290711,
                0.9986749773979287,
                0.9669140187510509,
                1.012998856312253e-05,
                0.9669140216112959,
                0.9859363759268756,
                0.0008040859102818866,
                0.0007096705190984731
            ],
            [
                0.9999832985801602,
                0.9999921107392977,
                0.9999885212291438,
                0.9984988177622833,
                0.999993855823202,
                0.9999921107345958,
                0.9999952149060768,
                0.9996646499857162,
                0.9995121428677946,
                0.9998415637476037
            ],
            [
                0.9999885212318804,
                0.9999910603015708,
                0.9999546021369274,
                0.9999952149055056,
                0.999993855824666,
                0.9999852610233104,
                0.9999898700054028,
                0.9999852610180423,
                0.9999910603005054,
                0.9999785550516025
            ],
            [
                0.9999967112501511,
                0.9998601778943615,
                0.9999930377445819,
                0.9999962733593839,
                0.9999957771675629,
                0.9999945777823237,
                0.9998766054408744,
                0.02595735988217347,
                0.9999962733589393,
                0.9999910603005024
            ],
            [
                6.605212080450339e-05,
                1.3709570433075437e-06,
                2.2603234891558813e-06,
                1.7603427934702357e-06,
                8.939700564468113e-06,
                1.5534981249291695e-06,
                3.7266397274452643e-06,
                4.222835457526079e-06,
                4.222833947820683e-06,
                2.5612831262112703e-06
            ],
            [
                0.9999938558275968,
                0.9988304899276419,
                0.9999974387187054,
                0.9999810748427546,
                0.9999952149072177,
                0.999996273360717,
                0.9999810748472573,
                0.9997040427694126,
                0.9999974387187056,
                0.9999962733602726
            ],
            [
                1.147876538789672e-05,
                2.2603242976733308e-06,
                2.9023116388072315e-06,
                4.785093353187292e-06,
                2.902311292960369e-06,
                1.3709570433387154e-06,
                1.99472900790731e-06,
                2.4300234928664224e-05,
                2.260324836567261e-06,
                2.5612822106421996e-06
            ],
            [
                8.93969736955767e-06,
                3.28874945711983e-06,
                4.222832940834793e-06,
                2.2603242977555607e-06,
                2.9023112930949896e-06,
                1.994729959224386e-06,
                5.422217029509618e-06,
                5.422220908402905e-06,
                6.96225541655662e-06,
                6.144176065582494e-06
            ],
            [
                0.9999852610110065,
                0.999088948970479,
                0.9989677688352788,
                0.9999832985702053,
                0.9999869928715416,
                0.9999785550464909,
                0.9999852610127696,
                0.9999930377462424,
                0.9999756997534958,
                0.9999852610127625
            ],
            [
                0.9149009474519222,
                0.99029152225602,
                0.01590639436507366,
                0.9994472214557563,
                0.1066905911052601,
                0.9978172836880205,
                0.6791786861878392,
                0.9988304898774617,
                0.9988304899756462,
                0.8933094067644466
            ],
            [
                0.9999986290432835,
                0.02297736857193652,
                0.9999987901343167,
                0.9999989322975119,
                0.008577486902650562,
                0.9999984465020604,
                0.0046095717285506025,
                0.9999952149072173,
                0.9999952149037962,
                0.9999974387174848
            ],
            [
                4.222834450589758e-06,
                2.561281599881745e-06,
                8.93969310584124e-06,
                6.144174600180663e-06,
                1.4738987239698005e-05,
                4.5397879429522924e-05,
                1.994729245822257e-06,
                7.889261643181705e-06,
                3.7266410604686857e-06,
                2.2603242977308917e-06
            ],
            [
                4.0063711246896956e-05,
                9.610239164799482e-05,
                1.3007128453415979e-05,
                8.48110714650109e-05,
                1.4738983725406915e-05,
                1.7603434230921292e-06,
                0.00013982209003863654,
                1.6701423833011596e-05,
                1.4738980211920955e-05,
                1.1478768125201194e-05
            ],
            [
                0.9999970976869773,
                0.9999756997650993,
                0.9999930377437514,
                0.9999885212264108,
                0.9999930377445827,
                0.999995777166556,
                0.9999967112493667,
                0.9999938558261318,
                0.9999785550592752,
                0.9999945777803847
            ],
            [
                1.01299946023704e-05,
                1.7603440526662173e-06,
                3.1201915017607306e-05,
                1.9947292458603553e-06,
                0.0001233945597162651,
                2.7535681245588654e-05,
                6.962257078553231e-06,
                2.9023119850527192e-06,
                3.120191135991401e-05,
                7.889266346603015e-06
            ],
            [
                0.99998987001146,
                0.9999930377437706,
                0.999975699767989,
                0.9999756997506082,
                0.9999898700102337,
                0.9992903296188145,
                0.9982992779115304,
                0.9999852610215811,
                0.9999339478791403,
                0.9999869928761935
            ],
            [
                0.9999910603068958,
                0.9999970976880151,
                0.9999898700078376,
                0.999373665781227,
                0.9999977396751636,
                0.9999938558224721,
                0.999925153790781,
                0.9999910603058421,
                0.9999974387180951,
                0.9999980052707544
            ],
            [
                8.93969310647542e-06,
                8.939697368500698e-06,
                2.902312330965655e-06,
                2.902311983859607e-06,
                5.043472879383035e-07,
                1.7603430030741363e-06,
                5.422218969306048e-06,
                1.0677029970638726e-06,
                9.42244593835151e-07,
                8.939694170940841e-06
            ],
            [
                0.999959936317427,
                0.9999910602994353,
                0.9999810748495139,
                0.9999832985801568,
                0.9999921107383568,
                0.9999756997506082,
                0.9997040429057066,
                0.9999832985702006,
                0.9999599362935554,
                0.9999038975395174
            ],
            [
                0.9995121428315209,
                0.9990889487893869,
                0.9978172830881283,
                0.9998766053962423,
                0.9997965730060278,
                0.9993736659133753,
                0.9994472213338125,
                0.9997040429021244,
                0.9975273764620439,
                0.9953904279894176
            ],
            [
                6.962253759670401e-06,
                1.994729008056074e-06,
                1.5534971989992774e-06,
                5.422217676299034e-06,
                1.012999339449843e-05,
                3.535626333461766e-05,
                5.829127241747701e-05,
                2.7535697649071857e-05,
                2.561282821209454e-06,
                1.7603436329554703e-06
            ],
            [
                2.1444948404530884e-05,
                1.3709578605118645e-06,
                3.2887506333394084e-06,
                1.994729245822257e-06,
                1.7603440525925705e-06,
                5.82912445884589e-05,
                2.5612822104977725e-06,
                3.288749065125496e-06,
                5.4222183231674305e-06,
                3.2887498491620677e-06
            ],
            [
                0.999996711250151,
                0.9999151889391757,
                0.9999952149043653,
                0.9999832985821676,
                0.999996711250543,
                0.9999962733607161,
                0.9999967112505442,
                0.9999952149066471,
                0.9999974387177895,
                0.999989870010232
            ],
            [
                0.999986992873096,
                0.9996200154856019,
                0.9998415638441887,
                0.9999970976876695,
                0.9999977396746248,
                0.9999977396754329,
                0.9999938558275967,
                0.9996200155266263,
                0.9999974387168743,
                0.9999974387171792
            ],
            [
                0.9999785550516085,
                0.9999724643023772,
                0.9999885212305111,
                0.9990889488867676,
                0.9999957771645429,
                0.9999938558246666,
                0.9999952149049351,
                0.9999910603068956,
                0.9999151889284097,
                0.9998415637098078
            ],
            [
                8.939694171331106e-06,
                1.0129992186774007e-05,
                5.8291279258636216e-05,
                1.9947301968963442e-06,
                9.422445938642879e-07,
                1.0677032518413822e-06,
                1.1478770861441461e-05,
                9.422449308566668e-07,
                4.222833946937338e-06,
                1.5534975693488444e-06
            ],
            [
                0.9999898700090213,
                0.9999885212332446,
                0.9999962733593837,
                0.9997694933446216,
                0.9999952149032242,
                0.9998766054710947,
                0.9999921107364758,
                0.9999832985781659,
                0.9999938558261334,
                0.9999898700090288
            ],
            [
                0.0006263340696461891,
                0.9980732654871126,
                0.005220126863929244,
                5.144221362768171e-05,
                0.00010889689619874565,
                4.0063692061308975e-05,
                1.147876949187012e-05,
                4.785096204415878e-06,
                0.0031726833203790587,
                0.0007096702657696286
            ],
            [
                0.999993855826864,
                0.9999756997535147,
                0.9999921107345983,
                0.9999910602994371,
                0.9999898700102304,
                0.9999038975971289,
                0.9999910603015668,
                0.9999910603026347,
                0.9999810748562918,
                0.9999810748427519
            ],
            [
                0.9999921107364752,
                0.99998329857418,
                0.9999952149043654,
                0.9999930377404317,
                0.9999930377445819,
                0.9999885212264071,
                0.9968273177856248,
                0.9999885212319007,
                0.9999967112493667,
                0.9999930377412624
            ],
            [
                0.9990889486600582,
                0.9924227585535529,
                0.9706877697256246,
                0.9980732651607113,
                0.92414182363495,
                0.9947798744563651,
                0.9975273772534003,
                0.8807970873650403,
                0.9890130548191753,
                0.9975273766630416
            ],
            [
                0.9998415637684587,
                0.999964643749305,
                0.9999756997477025,
                0.9999869928730905,
                0.9999485577864472,
                0.999991060300501,
                0.9999599362887583,
                0.9999687980812073,
                0.99996464373252,
                0.9999756997650822
            ],
            [
                0.867035763237924,
                0.9890130563270503,
                0.9953904270706774,
                0.9989677690772865,
                0.9706877699376162,
                0.6791787121629466,
                0.9997965729808708,
                0.9994472213913113,
                0.9978172830440111,
                0.9988304895117854
            ],
            [
                0.9999885212359854,
                0.9999756997563889,
                0.998299277275877,
                0.99999862904312,
                0.9992903297659739,
                0.9999810748495179,
                0.9999921107383563,
                0.9999930377437515,
                0.999704042803443,
                0.9999967112497589
            ],
            [
                0.9999952149032248,
                0.9999977396754328,
                0.9999982396563671,
                0.9999962733616053,
                0.9999885212264085,
                0.9999974387184001,
                0.9999977396754329,
                0.9999952149072177,
                0.9999980052702789,
                0.9999970976873235
            ],
            [
                0.9978172830627735,
                0.9953904270599944,
                0.9996646498895055,
                0.9953904287842344,
                0.9953904268826562,
                0.9996200154247563,
                0.9984988180842326,
                0.9980732653711484,
                0.9626731157347208,
                0.9959298630636791
            ],
            [
                0.999986992865342,
                0.9999339478713157,
                0.9999785550541559,
                0.9999921107355355,
                0.9999151889185052,
                0.9999898700114378,
                0.9999885212264065,
                0.9999599362887888,
                0.9990889489297888,
                0.9999251537640752
            ],
            [
                0.9999970976866313,
                0.9999339478790639,
                0.9999151889703011,
                0.9999980052695655,
                0.9999970976873235,
                0.9999952149055146,
                0.999996711251327,
                0.9995694429067261,
                0.9999967112501513,
                0.999996711249759
            ],
            [
                0.97068776908965,
                NaN,
                0.00023050663103170926,
                0.006692851608444011,
                0.0008040861146975217,
                0.9996646498981109,
                0.01798621302173174,
                0.0017007220402422043,
                0.005911068629132114,
                0.8670357683915538
            ],
            [
                2.7535684498857565e-05,
                5.422219615395428e-06,
                6.962253758017727e-06,
                1.1478765385098868e-05,
                2.1444945843077847e-05,
                1.0129995808639442e-05,
                0.00023050674112844595,
                0.5621765008857981,
                1.892515499389843e-05,
                0.000709670236626704
            ],
            [
                0.9986749775700008,
                0.9999832985821496,
                0.9997965729787901,
                0.9998766054106738,
                0.9997965729787901,
                0.9998766053820103,
                0.9996200154714738,
                0.9991959140668494,
                0.9997694932859279,
                0.9998766053682413
            ],
            [
                6.962256247998122e-06,
                1.7603425836246058e-06,
                1.9947292457750883e-06,
                2.902313022659669e-06,
                1.3007131548176343e-05,
                1.9947299591354906e-06,
                2.4300252310279753e-05,
                3.7266392836374875e-06,
                8.9397005654763e-06,
                1.670141984118446e-05
            ],
            [
                0.9999921107355346,
                0.9999852610197949,
                0.9999785550464864,
                0.9999646437451467,
                0.9999724643122307,
                0.9999599363174296,
                0.9999898700114384,
                0.9998911030784431,
                0.9999687980923667,
                0.9999687980998476
            ],
            [
                0.9999885212332469,
                0.9999885212264044,
                0.999993855824667,
                0.9999910603047643,
                0.9999756997621844,
                0.9999885212291393,
                0.9999852610127677,
                0.9999930377462429,
                0.9999646437367342,
                0.9999974387171788
            ],
            [
                8.315283250150648e-07,
                6.962259567027776e-06,
                9.422442568660309e-07,
                7.88925976359915e-06,
                7.889266342513156e-06,
                4.450849988733914e-07,
                2.2603248364644736e-06,
                5.422220908314139e-06,
                2.430023200831783e-05,
                8.93969310367852e-06
            ],
            [
                0.9999957771675637,
                0.9999898700090293,
                0.9999957771655505,
                0.9999952149055062,
                0.9999952149049426,
                0.9953904276860197,
                0.9999982396565771,
                0.9999970976876703,
                0.9999485577865408,
                0.9999930377454146
            ],
            [
                0.00029595706101220225,
                0.9995694429983123,
                0.9149009474519222,
                0.0019267350703218449,
                0.9324533097989076,
                0.9940889307907754,
                0.047425873177566774,
                4.539786849170429e-05,
                0.0019267346557159204,
                0.0010322312260633854
            ],
            [
                0.9999952149032251,
                0.9999898700090227,
                0.9999962733620492,
                0.9999938558239452,
                0.9999938558224692,
                0.9999930377429219,
                0.9999967112513268,
                0.9999945777823239,
                0.9999957771650457,
                0.999981074854025
            ],
            [
                0.9989677687895423,
                0.8670357529306639,
                0.0017007227430977598,
                0.9770226294627451,
                0.9875683501415674,
                0.01406362657835692,
                0.8807970654616711,
                0.5926665999540698,
                0.015906394248446885,
                0.8354835371034368
            ],
            [
                0.9999957771655497,
                0.9999869928746449,
                0.9999910603015695,
                0.9999945777810317,
                0.9999962733611605,
                0.9924227571913945,
                0.9997388097257498,
                0.9999945777797384,
                0.9999885212332469,
                0.9999910603036983
            ],
            [
                0.9999687980923763,
                0.9997965729850558,
                0.9989677688160719,
                0.9999832985821464,
                0.9999810748450086,
                0.9990889488698134,
                0.9859363757460856,
                0.9999785550541597,
                0.9999485577619384,
                0.9947798749859336
            ],
            [
                0.9999832985761841,
                0.9999967112513272,
                0.033085978746234736,
                0.9999810748450194,
                0.9999984465026159,
                0.9993736656946218,
                0.999995214904936,
                0.9999957771655497,
                0.99999457777974,
                0.9999930377462408
            ],
            [
                0.01798621200185162,
                0.9947798744515288,
                0.9968273173688484,
                0.9770226277065029,
                0.9740426408242415,
                0.9859363720011503,
                0.014063629974626424,
                0.9993736656969172,
                0.9465966654922083,
                0.9859363757848264
            ],
            [
                0.9999785550567057,
                0.9968273164432512,
                0.9997694933168141,
                0.9999724643121942,
                0.9999724643155129,
                0.9999832985741811,
                0.9975273768399195,
                0.9959298613516336,
                0.99998987001023,
                0.9999810748427537
            ],
            [
                0.9999756997593172,
                0.9999687980923947,
                0.997527376550483,
                0.999941708748449,
                0.9994472212994675,
                0.9993736658787624,
                0.9999485577641173,
                0.9994472214161373,
                0.9999687980812203,
                0.9999832985783028
            ],
            [
                0.9995121429022801,
                0.9999724643187686,
                0.9999869928653405,
                0.9999962733602723,
                0.9999921107345942,
                0.9999910602994362,
                0.9999957771665562,
                0.9999921107355363,
                0.999995777166053,
                0.9999952149072172
            ],
            [
                0.9999546021315122,
                0.9999945777829706,
                0.9999938558224687,
                0.9999885212291416,
                0.9999938558246673,
                0.9999869928761911,
                0.9999930377429218,
                0.9999938558232035,
                0.9993736659083473,
                0.9999938558254001
            ],
            [
                1.0677029972745947e-06,
                4.222832940646604e-06,
                1.0677031245050577e-06,
                1.209865827507999e-06,
                6.475949525834513e-07,
                3.7266379512518984e-06,
                1.067703251864202e-06,
                5.715004470025379e-07,
                2.5612822103393692e-06,
                4.222834450236421e-06
            ],
            [
                0.9991959138856298,
                0.9995694428642522,
                0.9999724643090657,
                0.9999485577681363,
                0.7772998663336158,
                0.996406396824156,
                0.9999546021368376,
                0.9740426401649208,
                0.9995694429132268,
                0.008577483869334478
            ],
            [
                0.9997965730525298,
                0.9999038976198701,
                0.9998911030912886,
                0.9999151889488815,
                0.9999251537908795,
                0.9998204720781003,
                0.9999599363126355,
                0.9997040430152031,
                0.999968798096135,
                0.9978172830790006
            ],
            [
                0.999088948797705,
                0.9986749775285617,
                0.9997040429075836,
                0.9998601779766834,
                0.9992903295481449,
                0.9998601779265051,
                0.9989677688386401,
                0.7310585727705127,
                0.9998415637460177,
                0.9986749773190557
            ],
            [
                0.9959298614233622,
                0.9999952149072174,
                0.9999982396574164,
                0.9820137927027559,
                0.9999898700066125,
                0.9997388097913956,
                0.9999485577986859,
                0.998299277927145,
                0.9999938558261321,
                0.9940889311464925
            ],
            [
                6.144173868312501e-06,
                3.2887502407138142e-06,
                7.889265406567165e-06,
                3.2887506333812835e-06,
                2.260324028255194e-06,
                1.3709575336530204e-06,
                9.422443692090534e-07,
                6.475945665900901e-07,
                3.288750241042834e-06,
                3.2887506334201674e-06
            ],
            [
                1.012999339031569e-05,
                1.4738983725406915e-05,
                1.147876401711502e-05,
                1.4738976698757546e-05,
                6.962257078819179e-06,
                3.120191134947124e-05,
                6.6052152530647e-05,
                1.0129995807165349e-05,
                2.7535687739805765e-05,
                7.88926634687567e-06
            ],
            [
                8.939694170940841e-06,
                4.785095064819011e-06,
                1.994730434778778e-06,
                1.300713466316634e-05,
                2.561281599776919e-06,
                0.00010889689553167713,
                6.144175333837093e-06,
                3.2887490652810324e-06,
                5.422220908634683e-06,
                1.0129992185981682e-05
            ],
            [
                1.3007130010922344e-05,
                6.144173135896795e-06,
                3.120191507776674e-05,
                3.535626750874837e-05,
                6.962258738701267e-06,
                3.7266388394569345e-06,
                2.753570419688461e-05,
                4.539786315904385e-05,
                2.144495860587775e-05,
                1.1478768124992398e-05
            ],
            [
                0.9999962733620488,
                0.9998601779109664,
                0.999820472039649,
                0.9999957771660528,
                0.9999687980923851,
                0.999996711249367,
                0.9999967112497594,
                0.999993855826131,
                0.9999977396757025,
                0.9999599363175223
            ],
            [
                0.0004878571710620376,
                0.000911051298245069,
                0.0010322311140628156,
                5.144223807888457e-05,
                0.0010322312624365634,
                0.7057850340255386,
                0.01243164938964095,
                0.0059110700547369156,
                0.009708474860810707,
                0.0009110511710886335
            ],
            [
                0.9840936109122871,
                0.999997097688707,
                0.9971990731414816,
                0.9999957771660528,
                0.9999945777790968,
                0.9986749776422496,
                0.9999687980961138,
                0.9984988176153557,
                0.9999962733611609,
                0.9991959141844666
            ],
            [
                1.0677031245783732e-06,
                1.9947306726358406e-06,
                5.422218969720291e-06,
                1.0677033791204289e-06,
                4.785095635413826e-06,
                1.3709576970949014e-06,
                8.315281267513512e-07,
                6.144174601499446e-06,
                6.1441775312976045e-06,
                3.2887486728201357e-06
            ],
            [
                0.998830489992645,
                0.9914225151169204,
                0.9986749773584922,
                0.9996200155677613,
                0.9902915237781903,
                0.9959298626276455,
                0.9975273767721546,
                0.9997388096421841,
                0.9046505318875316,
                0.9998204719715357
            ],
            [
                0.9999885212318825,
                0.9997388096938313,
                0.9999852610127672,
                0.8354835452961425,
                0.9999756997621728,
                0.9999785550464864,
                0.9999869928761911,
                0.9999599363031061,
                0.9999756997592913,
                0.9999599362888744
            ],
            [
                0.9999930377445835,
                0.9999885212277768,
                0.9998911030784431,
                0.9999952149032248,
                0.9999646437620884,
                0.9999962733607168,
                0.9998204719925676,
                0.9999945777823244,
                0.9999974387168737,
                0.9999980052707544
            ],
            [
                0.00015843615952272183,
                0.9525741226150287,
                0.0006263340930736416,
                0.9579122704322899,
                0.00015843625412520775,
                0.009708476230763695,
                1.9947306725868575e-06,
                0.9324533130837862,
                0.9579122711832404,
                0.9324533018213449
            ],
            [
                0.9995121428979942,
                0.9994472212996284,
                0.9995694428841051,
                0.9999339478635494,
                0.9999930377454121,
                0.999991060305829,
                0.9999898700041934,
                0.9999898700054226,
                0.9999930377404325,
                0.9982992776012145
            ],
            [
                1.3709576970949014e-06,
                6.475951069696694e-07,
                2.2603242976733308e-06,
                3.288750633518874e-06,
                6.962253759157502e-06,
                1.370957533574467e-06,
                8.3152822584917e-07,
                5.144221975264518e-05,
                1.0677024881499412e-06,
                6.475949525781504e-07
            ],
            [
                0.9525741273273217,
                0.995390428835513,
                0.998299277945922,
                0.9740426444505045,
                0.9669140210154115,
                0.9964063970675947,
                0.9947798735664964,
                0.9947798737913817,
                0.9988304894878511,
                0.9990889489881217
            ],
            [
                0.9999724643122099,
                0.9999599363221608,
                0.9988304899236982,
                0.9999785550567132,
                0.9999810748427478,
                0.9999724643187686,
                0.9997040430192503,
                0.9999810748472809,
                0.9999832985741794,
                0.999978555054151
            ],
            [
                2.5612831264675113e-06,
                9.422449308420983e-07,
                5.043473480678099e-07,
                1.370957370236096e-06,
                6.475947209638476e-07,
                1.3709573702111586e-06,
                6.475947209918244e-07,
                1.067703379136937e-06,
                1.5534973841592143e-06,
                2.3823693838927385e-07
            ],
            [
                5.422220908634683e-06,
                6.962255419570695e-06,
                5.42221961567159e-06,
                1.7603438428188364e-06,
                8.315282258956806e-07,
                1.3007131564383116e-05,
                9.422447061953531e-07,
                6.144173136885882e-06,
                6.962259568509485e-06,
                1.067702488159652e-06
            ],
            [
                0.9999646437535405,
                0.9999869928746418,
                0.9999910603005002,
                0.9999910603068953,
                0.9999910603015705,
                0.9999724643024095,
                0.999981074849517,
                0.9998204720349709,
                0.9999646437451799,
                0.9999852610110059
            ],
            [
                0.98901305643837,
                0.9991959141608964,
                0.9991959139728959,
                0.9996646498917788,
                0.9995694429655582,
                0.9992903294629039,
                0.9964063982547748,
                0.9990889487893869,
                0.9995694430177017,
                0.9984988179212513
            ],
            [
                0.9999980052700409,
                0.9999967112509353,
                0.9999970976890529,
                0.9998766054709188,
                0.9995121429424707,
                0.9999970976883611,
                0.9999785550515911,
                0.9993736658723499,
                0.9999984465018752,
                0.9999987901346051
            ],
            [
                0.0024726230027280215,
                0.00048785705114315445,
                0.00013982210693632,
                5.144221355694428e-05,
                0.0015011825333167718,
                0.0001795280299270608,
                0.8354835330070838,
                0.001325022505637016,
                0.7772998611746912,
                0.0004305570341537162
            ],
            [
                0.9999921107402377,
                0.9975273769071101,
                0.9971990728371342,
                0.9999251537373303,
                0.999995214905506,
                0.9999832985841355,
                0.9999910603058298,
                0.9999852610233088,
                0.9982992775160259,
                0.9999921107383564
            ],
            [
                1.4738985484549675e-05,
                1.994729721265813e-06,
                1.8925150490206403e-05,
                2.1444948408977715e-05,
                2.430023782717578e-05,
                1.47389819699641e-05,
                3.726641060536473e-06,
                6.605214445722408e-05,
                2.9023126769762986e-06,
                1.892514147143123e-05
            ],
            [
                0.9999832985781701,
                0.9999869928668906,
                0.99998699287154,
                0.9999724643089521,
                0.9999885212291495,
                0.9999898700041923,
                0.9999724642991294,
                0.999989870012645,
                0.9999930377445814,
                0.9999339478476563
            ],
            [
                0.9999910603069015,
                0.9999930377462449,
                0.999993855826132,
                0.9999962733598291,
                0.9999938558224708,
                0.9999945777823249,
                0.99781728396033,
                0.9999485577987738,
                0.9998911031171807,
                0.9999938558253998
            ],
            [
                0.9999977396762414,
                0.9999970976869775,
                0.9999970976883614,
                0.9984988177647263,
                0.9999921107336559,
                0.9999910603005029,
                0.9999885212277727,
                0.999988521229142,
                0.9999251537642745,
                0.9999974387184004
            ],
            [
                0.9999952149049357,
                0.9999938558253998,
                0.9999970976876693,
                0.9999938558268638,
                0.9999957771670599,
                0.9999898700090248,
                0.9994472213838506,
                0.9999952149049368,
                0.9998911031054348,
                0.9999910603068951
            ]
        ]
    },
    {
        "q_id": "10671_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999998724809723,
                0.9999997617629764,
                0.9999999006881141,
                0.9999998555019274,
                0.9999994956527121,
                0.9999997617631469,
                0.9999997300422225,
                0.9999998362623332,
                0.9999998874648514,
                0.9999998144608319
            ],
            [
                0.9999998555019446,
                0.9999998362622357,
                0.9999998555019274,
                0.9999997897567091,
                0.9999998874649318,
                0.9999998144608983,
                0.9999998555019446,
                0.9999996533674615,
                0.9999996533673375,
                0.9999998144609644
            ],
            [
                0.9999998874647976,
                0.9999997617629763,
                0.9999999123574732,
                0.9999998724810026,
                0.9999997617630616,
                0.999999730042126,
                0.9999996940977002,
                0.9999999123575986,
                0.999999789756684,
                0.9999998724809115
            ],
            [
                0.999999730042319,
                0.9999998555020135,
                0.9999996940976271,
                0.9999998362623528,
                0.9999995549149481,
                0.9999998362623528,
                0.9999998724809115,
                0.999999855501979,
                0.9999996940977366,
                0.9999998555020135
            ],
            [
                0.9999999006881496,
                0.9999998724809419,
                0.9999994284992805,
                0.9999997897567091,
                0.9999996940977366,
                0.9999998724810026,
                0.999999900688043,
                0.9999998144608983,
                0.9999993524050473,
                0.9999997897566589
            ],
            [
                0.9999997300422868,
                0.9999994284994167,
                0.9999997617631752,
                0.999999789756684,
                0.9999998362623722,
                0.9999998555019618,
                0.9999999226557592,
                0.9999997897566338,
                0.9999998362622357,
                0.9999997300422547
            ],
            [
                0.9999997300421903,
                0.9999996940978095,
                0.9999997300422546,
                0.9999997617630617,
                0.9999994284996211,
                0.9999996533673375,
                0.9999996940977002,
                0.9999998362623723,
                0.9999997617631753,
                0.9999997897566089
            ],
            [
                0.9999999006880785,
                0.9999998144609424,
                0.9999999397643156,
                0.9999998362623723,
                0.9999999006880194,
                0.9999998362622746,
                0.9999998362623137,
                0.9999995549151073,
                0.9999999006881141,
                0.9999989322966208
            ],
            [
                0.9999992661788445,
                0.9999996533674614,
                0.9999996940978095,
                0.9999992661791944,
                0.9999994956527121,
                0.9999994956524115,
                0.9999996072137061,
                0.999998629042303,
                0.9999995549151073,
                0.9999977396748938
            ],
            [
                0.9999997897565587,
                0.9999996533673788,
                0.9999998362622942,
                0.999999887464811,
                0.9999998874648647,
                0.9999998362622357,
                0.9999998724809723,
                0.9999998555019962,
                0.9999997617631753,
                0.9999996940978825
            ],
            [
                0.9999998874648514,
                0.9999997897566338,
                0.9999999006879721,
                0.9999998555020307,
                0.9999998874649318,
                0.999999887464905,
                0.9999997300422547,
                0.9999999123575777,
                0.9999998362623137,
                0.999999730042319
            ],
            [
                0.9999997617630616,
                0.999999900688043,
                0.999999855501979,
                0.9999999468421122,
                0.9999994956523514,
                0.9999991684720715,
                0.9999996533672962,
                0.9999995549150011,
                0.9999997300422868,
                0.9999998555019274
            ],
            [
                0.9999996940976272,
                0.9999996072137998,
                0.9999997897567342,
                0.9999995549147358,
                0.9999998144608981,
                0.9999998555020307,
                0.9999998362623528,
                0.9999999006879957,
                0.9999997897566338,
                0.9999997897565587
            ],
            [
                0.9999999123575672,
                0.9999998874648245,
                0.999999814460876,
                0.9999998724809115,
                0.9999996940976272,
                0.9999998555019963,
                0.9999994956527722,
                0.9999998362622942,
                0.9999998874648245,
                0.9999996072137529
            ],
            [
                0.9999995549147358,
                0.9999995549148419,
                0.9999996072137998,
                0.9999996072136125,
                0.9999997300422225,
                0.99999976176309,
                0.9999998724809723,
                0.9999994284993486,
                0.9999997300422546,
                0.9999997617631753
            ],
            [
                0.9999993524048929,
                0.9999998144608097,
                0.9999998144609423,
                0.9999998362623528,
                0.9999996533675028,
                0.9999998362622942,
                0.9999991684720715,
                0.999999730042319,
                0.9999997617629763,
                0.9999998362623723
            ],
            [
                0.9999998874649318,
                0.9999999226558421,
                0.9999996533674201,
                0.999999814460876,
                0.9999999123575255,
                0.9999998144608097,
                0.9999999226557869,
                0.9999998724809875,
                0.9999999226557869,
                0.9999997617631752
            ],
            [
                0.9999998555020135,
                0.9999997617631469,
                0.9999996533675028,
                0.9999999123574419,
                0.9999998362622552,
                0.9999996533673375,
                0.9999997617630049,
                0.9999998555019619,
                0.9999998144609645,
                0.999998239656367
            ],
            [
                0.9999997897565838,
                0.9999998144608098,
                0.9999998724809419,
                0.9999998362622747,
                0.9999997617630617,
                0.9999998724809571,
                0.999999855502048,
                0.9999998362623723,
                0.999999855501979,
                0.9999998874648245
            ],
            [
                0.9999998874648781,
                0.9999996940976636,
                0.9999999226558514,
                0.9999996533672962,
                0.9999994956527121,
                0.9999997300421903,
                0.9999999006880549,
                0.9999997300422546,
                0.9999997300421903,
                0.9999998874648648
            ],
            [
                0.9999997617631469,
                0.9999996072136125,
                0.9999999006880785,
                0.9999996072138465,
                0.9999996533675028,
                0.9999998724809875,
                0.9999996940977002,
                0.9999996533672135,
                0.9999997617631752,
                0.9999997617631469
            ],
            [
                0.999999730042319,
                0.9999999006880549,
                0.9999997617629764,
                0.9999996072136125,
                0.9999998362623137,
                0.999999730042126,
                0.9999998724809875,
                0.9999996940977366,
                0.9999999226558514,
                0.9999998362622943
            ],
            [
                0.9999999123575777,
                0.9999999123574732,
                0.9999999123575777,
                0.9999999397642868,
                0.9999996940977366,
                0.9999998144609424,
                0.9999999317439139,
                0.9999999226557225,
                0.999999814460854,
                0.9999999123575464
            ],
            [
                0.9999996940977002,
                0.9999997300422546,
                0.9999999586006492,
                0.999999887464905,
                0.9999996940978461,
                0.9999997897566589,
                0.9999993524050474,
                0.9999996533675028,
                0.9999998724809723,
                0.9999999226558514
            ],
            [
                0.9999997300422225,
                0.9999998362622747,
                0.9999998144608983,
                0.9999998362623332,
                0.9999998362623137,
                0.9999997300421261,
                0.9999990577554061,
                0.9999999006880075,
                0.9999997897567091,
                0.9999998144608983
            ],
            [
                0.9999998724809571,
                0.9999998362622943,
                0.9999998362622746,
                0.9999999123574628,
                0.9999998555019446,
                0.9999998362623528,
                0.9999999123574628,
                0.9999998362623332,
                0.9999998555019274,
                0.9999999317440116
            ],
            [
                0.9999996940977366,
                0.9999998362622357,
                0.999999814460854,
                0.9999999123575881,
                0.9999999123575568,
                0.9999998555020307,
                0.999999855502048,
                0.9999998874647976,
                0.999999855501979,
                0.9999998724809267
            ],
            [
                0.9999999123575045,
                0.9999998874648647,
                0.9999996072137061,
                0.9999999123575672,
                0.9999997300421903,
                0.9999997300421903,
                0.9999994284997573,
                0.9999997897565838,
                0.999999939764258,
                0.9999997897566338
            ],
            [
                1.8553907971855875e-07,
                1.4449805540763184e-07,
                2.3823685319244518e-07,
                3.466327450756327e-07,
                3.9278638755671223e-07,
                1.1253517547010071e-07,
                2.102434412871794e-07,
                1.4449800373098553e-07,
                3.0590226339061185e-07,
                2.3823699519290042e-07
            ],
            [
                0.9999996940976636,
                0.999999855502048,
                0.9999997617630616,
                0.9999996940976636,
                0.9999997897567341,
                0.9999993524053562,
                0.9999998362622942,
                0.9999997617631184,
                0.9999997897567091,
                0.9999994284993486
            ],
            [
                0.99999992265575,
                0.9999998555019963,
                0.999999887464811,
                0.9999999006879957,
                0.9999998874648647,
                0.9999998362622746,
                0.9999998555019791,
                0.9999997897565838,
                0.9999998724808963,
                0.9999997617630049
            ],
            [
                0.9999997897565587,
                0.9999996533674201,
                0.9999997300422868,
                0.9999996072138465,
                0.9999993524049702,
                0.999999855501979,
                0.9999999006881023,
                0.9999996072139402,
                0.9999996533672549,
                0.9999998724809723
            ],
            [
                0.9999997897565587,
                0.9999997617630049,
                0.9999998724809267,
                0.9999997897566089,
                0.999999814460876,
                0.9999997300422546,
                0.9999997897566589,
                0.9999998144609644,
                0.9999997617630333,
                0.9999997897567091
            ],
            [
                0.9999998874648781,
                0.9999999123574419,
                0.9999998362623137,
                0.999999730042126,
                0.999999730042126,
                0.9999996533674615,
                0.9999998874647574,
                0.9999996940978461,
                0.9999998874648379,
                0.9999998144608317
            ],
            [
                0.999999814460876,
                0.9999999123574941,
                0.9999998362623332,
                0.9999997300420937,
                0.9999997300422225,
                0.999999887464905,
                0.9999996940977366,
                0.9999996940977731,
                0.9999998724808963,
                0.9999998144608981
            ],
            [
                0.9999997300421581,
                0.9999998555019274,
                0.9999998724809267,
                0.9999999006881023,
                0.9999999006881377,
                0.9999998724809723,
                0.9999998724809875,
                0.9999997617631184,
                0.9999998144608538,
                0.9999998362622357
            ],
            [
                0.9999998555019962,
                0.9999999226557225,
                0.999999887464811,
                0.9999997897567341,
                0.9999996533672549,
                0.999999789756634,
                0.999999814460876,
                0.999999814460854,
                0.9999996533675028,
                0.9999999006881496
            ],
            [
                0.9999998362623332,
                0.999999694097846,
                0.9999996940978825,
                0.9999999006880549,
                0.9999998144609203,
                0.9999999226558145,
                0.9999998724809875,
                0.9999998874649051,
                0.9999999226558329,
                0.9999998362623528
            ],
            [
                0.9999994284996211,
                0.9999998144609645,
                0.9999997617631753,
                0.9999998362622943,
                0.9999998144608098,
                0.9999998555019619,
                0.9999996940978095,
                0.9999999006881496,
                0.9999997897566589,
                0.9999996072139402
            ],
            [
                0.9999994956525317,
                0.9999995549151073,
                0.9999996533675028,
                0.9999996533672962,
                0.9999996940977002,
                0.999999495652652,
                0.9999995549150011,
                0.999999730042319,
                0.9999990577555183,
                0.9999994956524716
            ],
            [
                0.9999996533673375,
                0.9999989322972572,
                0.9999996940977731,
                0.9999997300420939,
                0.9999996940977731,
                0.9999997300421903,
                0.9999998144608538,
                0.999999495652652,
                0.9999997897565587,
                0.9999998144609644
            ],
            [
                0.9999998362623332,
                0.9999996072136125,
                0.999999789756684,
                0.9999997617630333,
                0.999999900688043,
                0.9999998555019274,
                0.9999998555019274,
                0.9999998144608098,
                0.9999998144608098,
                0.9999998555020135
            ],
            [
                0.9999996533674201,
                0.9999997300422225,
                0.9999997897566089,
                0.9999997617630616,
                0.9999998362623137,
                0.9999998874648245,
                0.9999996940977366,
                0.9999998555020135,
                0.9999998144608098,
                0.9999998144608098
            ],
            [
                0.9999998362622747,
                0.9999998555020307,
                0.9999999226557684,
                0.9999998362622943,
                0.9999996940976636,
                0.9999998724810026,
                0.9999997617629764,
                0.9999998724809571,
                0.9999998724809571,
                0.9999998724809419
            ],
            [
                0.9999998555019274,
                0.999999814460854,
                0.9999996940976271,
                0.999999352404893,
                0.9999997897567091,
                0.9999997897566589,
                0.9999998362623723,
                0.9999998144609644,
                0.9999997617630617,
                0.9999997617629764
            ],
            [
                0.9999998555020307,
                0.9999997300420937,
                0.9999998874647976,
                0.9999997897567091,
                0.9999998144609203,
                0.999999855501979,
                0.9999998144609645,
                0.9999995549149481,
                0.9999997897567091,
                0.9999996072136592
            ],
            [
                0.9999999397643011,
                0.9999998724809419,
                0.9999998144608983,
                0.9999997300420937,
                0.999999855502048,
                0.9999999226557408,
                0.9999997897565587,
                0.9999999226558421,
                0.9999998724809419,
                0.9999998724809115
            ],
            [
                0.9998415637079199,
                0.999876605425082,
                0.9999832985781559,
                0.9998766053958636,
                0.9999952149032235,
                0.9998601779592466,
                0.9999930377420904,
                0.5621765008857982,
                0.9999938558261307,
                0.9999038975392935
            ],
            [
                0.9999995549148419,
                0.9999998144608319,
                0.9999998362623528,
                0.9999997617630617,
                0.9999997300421903,
                0.9999998362623137,
                0.9999998724810027,
                0.9999998144609423,
                0.999999789756634,
                0.9999998144608098
            ],
            [
                0.9999994284992804,
                0.9999998144608319,
                0.9999996940977002,
                0.9999996940976272,
                0.9999995549151073,
                0.9999994956525317,
                0.9999995549147889,
                0.9999997617630333,
                0.9999996533673375,
                0.9999997617631468
            ],
            [
                0.9999999123574419,
                0.9999997300421903,
                0.9999999006881023,
                0.9999996940977366,
                0.9999998144609202,
                0.9999962733616045,
                0.9999997897566589,
                0.9999998362622747,
                0.9999997897567341,
                0.9999996072136125
            ],
            [
                0.9999996533672549,
                0.9999998555019274,
                0.9999989322966208,
                0.9999991684716749,
                0.999999789756684,
                0.9999998144608098,
                0.9999998144609644,
                0.9999998362623137,
                0.9999994284997574,
                0.9999991684719723
            ],
            [
                0.9999998724810026,
                0.9999998874647842,
                0.9999999006879721,
                0.9999997897567091,
                0.9999996940976272,
                0.9999998724808963,
                0.999999887464811,
                0.9999997617630049,
                0.9999998724809267,
                0.9999992661788446
            ],
            [
                0.9999998144608983,
                0.9999997617631184,
                0.999999814460876,
                0.9999998144608317,
                0.9999996072137529,
                0.99999976176309,
                0.9999996940978095,
                0.9999998144609202,
                0.9999998362623332,
                0.9999997617631469
            ],
            [
                0.9999997617631184,
                0.9999998555019446,
                0.9999998555020135,
                0.9999999006880194,
                0.9999997300422225,
                0.9999997300422225,
                0.9999999006881259,
                0.9999998362623137,
                0.9999997897566089,
                0.9999994956525317
            ],
            [
                0.9999999123574941,
                0.9999997300422547,
                0.9999998724809875,
                0.9999998874648245,
                0.9999997300421903,
                0.9999995549151072,
                0.9999998874648245,
                0.9999999006880549,
                0.9999987901346049,
                0.9999996940977731
            ],
            [
                0.9999995549149481,
                0.9999998362622357,
                0.9999996533674201,
                0.9999997617629764,
                0.9999997897566338,
                0.9999998362622942,
                0.9999998362622942,
                0.9999998724809723,
                0.9999997897565587,
                0.9999998362622747
            ],
            [
                0.9999995549149481,
                0.9999997897565838,
                0.9999997617629764,
                0.9999997300421903,
                0.9999986290427931,
                0.9999997617631183,
                0.9999986290427931,
                0.9999996940976272,
                0.999999814460854,
                0.9999996072136592
            ],
            [
                0.9999998362623332,
                0.999999789756684,
                0.9999998555019963,
                0.999999814460876,
                0.9999998144609203,
                0.9999994956527121,
                0.9999996940977002,
                0.9999994956527121,
                0.9999999123575672,
                0.9999998362622357
            ],
            [
                0.9999996072139402,
                0.9999991684720715,
                0.9999996533673375,
                0.9999980052705163,
                0.9999998144608098,
                0.9999992661788445,
                0.9999993524051246,
                0.9999989322967481,
                0.9999994284992804,
                0.999999730042126
            ],
            [
                0.9999997897565838,
                0.9999997300421581,
                0.9999998144608981,
                0.9999998362622943,
                0.9999998724809115,
                0.9999999123574419,
                0.999999814460854,
                0.999999789756684,
                0.9999998724809419,
                0.9999997617629764
            ],
            [
                0.9999997300421581,
                0.9999998555019274,
                0.9999998555019446,
                0.9999996940977366,
                0.9999999397642222,
                0.9999998362622552,
                0.9999998724809723,
                0.999999814460876,
                0.9999977396762412,
                0.9999997897567341
            ],
            [
                0.9999997897567091,
                0.9999997897566589,
                0.9999997617631469,
                0.9999999226558053,
                0.9999998724810026,
                0.9999996940978095,
                0.999999730042126,
                0.9999998144608097,
                0.999999814460876,
                0.9999996940976272
            ],
            [
                0.9999997617631184,
                0.999999887464811,
                0.9999996072138465,
                0.999999855501979,
                0.9999997300422225,
                0.9999998362623332,
                0.9999997617631753,
                0.9999998362623137,
                0.9999994284996211,
                0.9999998362622942
            ],
            [
                0.9999994956525317,
                0.9999996940976272,
                0.9999998144609423,
                0.9999998724808963,
                0.9999996533674201,
                0.9999998724809267,
                0.999999789756684,
                0.9999995549151072,
                0.9999995549147889,
                0.9999998144609202
            ],
            [
                0.9999997897565587,
                0.9999998362623528,
                0.9999998362622357,
                0.9999998874647574,
                0.9999998724809571,
                0.9999997897567091,
                0.9999997897565587,
                0.9999999006879721,
                0.9999998874648781,
                0.9999999123575777
            ],
            [
                0.9999997897567091,
                0.9999996533675028,
                0.9999996940978825,
                0.9999998144609424,
                0.9999998144609423,
                0.9999998362622552,
                0.9999997617630617,
                0.9999995549148419,
                0.9999997300422547,
                0.9999998724809571
            ],
            [
                0.9999997897565838,
                0.9999997897566589,
                0.9999997617630049,
                0.9999998555019446,
                0.9999998724810026,
                0.9999998724808963,
                0.9999997300420937,
                0.9999998874648915,
                0.9999998724809571,
                0.9999996940977366
            ],
            [
                0.9999998144608983,
                0.9999999123574628,
                0.9999997617630333,
                0.9999998362623332,
                0.9999998874648647,
                0.9999998724809723,
                0.9999998362622746,
                0.9999998144609424,
                0.9999998144609424,
                0.9999998724809723
            ],
            [
                0.9999997897567091,
                0.9999997897566589,
                0.9999997897566089,
                0.9999997300421903,
                0.9999994956524716,
                0.9999999123574523,
                0.9999992661790195,
                0.9999998144608538,
                0.999999730042319,
                0.9999997300422547
            ],
            [
                0.9999938558232009,
                0.9999945777784449,
                0.99999893229713,
                0.999954602125951,
                0.9999945777784451,
                0.9999945777823234,
                0.9999930377420905,
                0.9999977396759716,
                0.9999852610215451,
                0.9999938558224684
            ],
            [
                0.9999998724810027,
                0.9999997617630049,
                0.9999995549150541,
                0.9999998144609203,
                0.9999995549149481,
                0.9999997300422869,
                0.9999997300422547,
                0.9999996072139402,
                0.9999996533673788,
                0.9999996533672549
            ],
            [
                0.9999996072137998,
                0.999999887464811,
                0.9999997617631469,
                0.9999998144608097,
                0.9999998874648245,
                0.9999998555020135,
                0.9999997897567341,
                0.9999999006880312,
                0.99999976176309,
                0.9999998724809875
            ],
            [
                0.999999814460876,
                0.9999998874648915,
                0.9999996940977731,
                0.9999998724809571,
                0.9999999006880904,
                0.9999998144608098,
                0.9999998724809875,
                0.9999998874648647,
                0.9999998874648781,
                0.9999996533672962
            ],
            [
                0.9999998724809115,
                0.9999997617631753,
                0.9999998555019791,
                0.9999998555019274,
                0.9999996940976636,
                0.9999995549151072,
                0.9999997897566589,
                0.9999999006881496,
                0.9999998144609424,
                0.9999998555020307
            ],
            [
                0.9999998724808963,
                0.9999994284992805,
                0.9999997617631752,
                0.9999997300422869,
                0.9999998874648245,
                0.9999997300422547,
                0.9999999397642653,
                0.9999997617631469,
                0.9999999397643011,
                0.9999997300420937
            ],
            [
                0.9999994956525317,
                0.9999996940978461,
                0.9999998724809419,
                0.9999997617630049,
                0.9999998144609203,
                0.999999855502048,
                0.9999998144608319,
                0.9999997617630899,
                0.9999995549147889,
                0.9999997617631184
            ],
            [
                0.9999997617631184,
                0.9999997617630617,
                0.9999998555019962,
                0.9999999123574941,
                0.9999998362623332,
                0.9999997897566589,
                0.9999999006880075,
                0.9999997617631469,
                0.9999998144608538,
                0.9999999123574836
            ],
            [
                0.999999814460876,
                0.9999997617630049,
                0.9999998555019274,
                0.9999994956523514,
                0.9999998555019619,
                0.9999998144608983,
                0.9999998724809571,
                0.9999998362622552,
                0.999999653367379,
                0.9999998555019274
            ],
            [
                0.9999998724809267,
                0.9999996940977366,
                0.9999998144608097,
                0.999999814460876,
                0.9999998555019446,
                0.9999999226557776,
                0.9999997300422225,
                0.9999997897566589,
                0.9999995549148419,
                0.999999814460876
            ],
            [
                0.9999997300421903,
                0.9999998362623137,
                0.9999999397642078,
                0.9999997617631469,
                0.9999998362623332,
                0.9999996533672549,
                0.9999996072139402,
                0.9999998555019963,
                0.9999999317439627,
                0.9999997300422547
            ],
            [
                0.9999997300422869,
                0.9999998144609424,
                0.9999997300422869,
                0.9999997300420937,
                0.9999998555019446,
                0.9999998555019274,
                0.9999996940978095,
                0.9999995549147358,
                0.999999789756684,
                0.9999998144608983
            ],
            [
                0.9999999006881496,
                0.9999997300421581,
                0.99999976176309,
                0.9999999006879838,
                0.9999998724809115,
                0.9999997617630049,
                0.9999998724809267,
                0.9999998874647976,
                0.9999994284996211,
                0.9999998874648112
            ],
            [
                0.9999999468421946,
                0.9999997300422225,
                0.999999887464905,
                0.9999998362623332,
                0.9999999123574523,
                0.9999998144609644,
                0.9999998144608319,
                0.9999998362623528,
                0.9999998555019962,
                0.9999998362623332
            ],
            [
                0.9999998144608097,
                0.9999996533674615,
                0.9999997617631184,
                0.9999999226557132,
                0.9999994956523514,
                0.99999976176309,
                0.9999998144609203,
                0.9999998724810027,
                0.9999996940976636,
                0.999999495652652
            ],
            [
                0.9999996072137061,
                0.9999999397642868,
                0.9999996533672962,
                0.9999998362622552,
                0.9999991684715759,
                0.9999997897566338,
                0.999999814460876,
                0.999999789756684,
                0.9999997300422868,
                0.9999997300422868
            ],
            [
                0.9999998555020135,
                0.9999999006880075,
                0.9999998724809267,
                0.9999998724809115,
                0.9999998362623528,
                0.9999998362622943,
                0.9999995549150011,
                0.9999997897567341,
                0.9999998724809419,
                0.9999998144608097
            ],
            [
                0.9999998362622552,
                0.9999996940977731,
                0.9999998874647709,
                0.9999998362623137,
                0.9999996533672136,
                0.9999996940978095,
                0.9999998362623528,
                0.9999998874649184,
                0.9999997897565838,
                0.9999997617631183
            ],
            [
                0.9999998362623332,
                0.9999995549151072,
                0.9999997300422547,
                0.9999999006881023,
                0.9999995549151072,
                0.9999994284996211,
                0.9999997617631469,
                0.9999998724809419,
                0.9999997617629764,
                0.999999814460854
            ],
            [
                0.9999996940977731,
                0.9999999586005999,
                0.9999998362622942,
                0.9999998555020307,
                0.9999997617629764,
                0.9999997897566589,
                0.9999998362622746,
                0.9999997617630333,
                0.9999999397642796,
                0.9999998555019274
            ],
            [
                0.9999998724809419,
                0.9999996533675028,
                0.9999997617629764,
                0.9999995549147889,
                0.9999995549150541,
                0.9999996533672135,
                0.9999999226557592,
                0.9999996940976636,
                0.9999998724809267,
                0.999999814460854
            ],
            [
                0.9999996533675028,
                0.9999998724809875,
                0.9999998362622942,
                0.999999694097846,
                0.9999991684722698,
                0.9999998724809115,
                0.99999976176309,
                0.999999855501979,
                0.9999995549147358,
                0.9999997617631752
            ],
            [
                0.9999999006879721,
                0.9999999123575464,
                0.9999998144609423,
                0.9999999123574628,
                0.9999998362622747,
                0.9999994956524115,
                0.9999998555019963,
                0.9999998874647709,
                0.9999999123575672,
                0.9999998555019963
            ],
            [
                0.9999998724809267,
                0.9999996940976636,
                0.999999789756634,
                0.9999998362622747,
                0.9999998555019274,
                0.9999998362623528,
                0.9999996940977366,
                0.999999887464811,
                0.9999998144608097,
                0.9999998555019446
            ],
            [
                0.999999730042319,
                0.999999814460876,
                0.999999814460854,
                0.9999996072138465,
                0.9999994284994849,
                0.9999997300420937,
                0.99999976176309,
                0.9999998724809267,
                0.9999999006879721,
                0.9999997897567091
            ],
            [
                0.9999997897567341,
                0.9999998144609203,
                0.9999997300421903,
                0.9999998144609424,
                0.9999998555020307,
                0.9999996072136125,
                0.9999996072137998,
                0.9999997897566089,
                0.9999996940978825,
                0.9999998362622942
            ],
            [
                0.9999994284996891,
                0.9999996072138934,
                0.9999998555020134,
                0.9999998874647306,
                0.9999996940977366,
                0.9999997897566338,
                0.9999996072137061,
                0.9999996940976272,
                0.9999997300420937,
                0.9999997617631184
            ],
            [
                0.999999789756684,
                0.9999998555019446,
                0.9999999006881377,
                0.9999997300420937,
                0.9999998144609423,
                0.9999998144609203,
                0.9999996940978461,
                0.9999996940977731,
                0.9999998874648379,
                0.9999997617630616
            ],
            [
                0.999999855501979,
                0.9999998555019963,
                0.9999998724809875,
                0.9999999006880312,
                0.9999997617631469,
                0.9999996072137061,
                0.9999998362622746,
                0.999999855501979,
                0.9999998724809115,
                0.9999997300422869
            ],
            [
                0.9999998874648379,
                0.9999997617631752,
                0.9999999123575359,
                0.9999997617630332,
                0.9999998144608319,
                0.9999998724810027,
                0.999999814460876,
                0.9999996533672549,
                0.9999997300422225,
                0.9999996072139402
            ],
            [
                0.9999997300422225,
                0.9999995549147358,
                0.9999994284996211,
                0.999999887464744,
                0.9999998555019962,
                0.9999999123574732,
                0.9999998724809875,
                0.9999996072136592,
                0.9999999006879838,
                0.9999998724809571
            ],
            [
                0.9999997300421581,
                0.999999900688043,
                0.9999999006881023,
                0.99999976176309,
                0.9999997897566338,
                0.999999789756684,
                0.9999998555019963,
                0.9999998144609202,
                0.9999997300422225,
                0.9999996940978825
            ],
            [
                0.9999999226558053,
                0.9999996940977731,
                0.9999999468421502,
                0.9999999123575568,
                0.9999996072138934,
                0.9999998555019446,
                0.9999997300422225,
                0.9999998362622357,
                0.9999998724809419,
                0.9999999226558329
            ],
            [
                0.9999998724809875,
                0.999999900688043,
                0.9999998144608317,
                0.9999996940976636,
                0.9999997897566589,
                0.9999998874648647,
                0.9999998555020307,
                0.9999996072136592,
                0.9999998144609424,
                0.9999998724808963
            ],
            [
                0.9999997897566589,
                0.9999996533672962,
                0.9999998362623722,
                0.9999998724809115,
                0.999999653367379,
                0.9999997617630049,
                0.9999996533675028,
                0.9999997897566338,
                0.9999998555019963,
                0.9999997617630049
            ],
            [
                0.9999998724809571,
                0.9999997897565587,
                0.9999998555019791,
                0.9999998362623332,
                0.9999997617630049,
                0.9999998362622357,
                0.9999998362623137,
                0.999999789756684,
                0.9999998555019446,
                0.9999997617630332
            ],
            [
                0.9999997300422547,
                0.999999912357515,
                0.9999998144609202,
                0.9999998555019274,
                0.9999998555019963,
                0.9999996940977366,
                0.9999998724809267,
                0.9999996072137998,
                0.9999997897565587,
                0.9999998144609645
            ],
            [
                0.9999997300423191,
                0.9999996940977002,
                0.9999998555020135,
                0.9999998362622942,
                0.9999998362623137,
                0.999999814460876,
                0.9999999123575464,
                0.9999998724809571,
                0.9999997897566089,
                0.9999999006880668
            ],
            [
                0.9999996072137998,
                0.9999996940977002,
                0.999999352404893,
                0.9999982396574162,
                0.999999694097846,
                0.9999993524053562,
                0.9999980052693274,
                0.9999987901340279,
                0.9999986290432834,
                0.9999996940977731
            ],
            [
                0.9999997617630616,
                0.9999998362622943,
                0.9999996072137998,
                0.9999996533673375,
                0.9999997897566089,
                0.9999996533674202,
                0.9999993524051246,
                0.9999994956525918,
                0.9999995549150541,
                0.9999999006881259
            ],
            [
                0.9999997300421903,
                0.999999900688043,
                0.9999999317439953,
                0.9999998555019791,
                0.9999998362622747,
                0.9999998362623332,
                0.9999998362622552,
                0.9999997300421581,
                0.999999855502048,
                0.9999997300422868
            ],
            [
                0.9999998362623723,
                0.9999997897567341,
                0.9999996940977731,
                0.9999998362623528,
                0.9999997617631752,
                0.9999994284996211,
                0.9999998362622942,
                0.9999996072137061,
                0.9999998724809723,
                0.9999998362623332
            ],
            [
                0.9999996533674202,
                0.9999998362622747,
                0.9999998362623722,
                0.999999266179107,
                0.9999998555019274,
                0.9999997300421903,
                0.9999990577549568,
                0.9999997617629764,
                0.9999997617630617,
                0.9999996940978825
            ],
            [
                0.999999814460854,
                0.9999997617631752,
                0.9999998144608319,
                0.9999998144608983,
                0.9999998724809419,
                0.9999998144609202,
                0.9999997897565587,
                0.9999997897566338,
                0.9999998144609203,
                0.999999789756684
            ],
            [
                0.9999997617631753,
                0.9999999006881023,
                0.9999997617630617,
                0.9999998144609645,
                0.9999998362622552,
                0.9999997617630049,
                0.9999998362623332,
                0.9999998724809267,
                0.9999996940977002,
                0.9999996940977366
            ],
            [
                0.9999997300420937,
                0.9999995549151072,
                0.9999991684715759,
                0.999999789756634,
                0.9999997617631184,
                0.9999998362622943,
                0.9999998362623528,
                0.9999997617630617,
                0.9999998874648647,
                0.9999996940978095
            ],
            [
                0.9999997300421903,
                0.9999998555020307,
                0.9999998874648647,
                0.9999999123575045,
                0.9999998874648246,
                0.9999999006881022,
                0.9999999226557961,
                0.9999999006880075,
                0.9999998362622357,
                0.9999998555020134
            ],
            [
                0.9999997617631469,
                0.9999995549147889,
                0.9999997300420937,
                0.9999991684720715,
                0.9999996940976272,
                0.9999997897565587,
                0.999999694097846,
                0.9999994956524715,
                0.9999994956524715,
                0.9999996533674614
            ],
            [
                0.9999998362622357,
                0.9999997300420937,
                0.9999997617631469,
                0.9999996940978095,
                0.9999996940977366,
                0.9999997300421903,
                0.9999997617630332,
                0.9999991684719723,
                0.9999996072139402,
                0.9999997617630049
            ],
            [
                0.9999991684721706,
                0.9999993524049702,
                0.9999996940976272,
                0.9999994284997573,
                0.9999974387180947,
                0.9999997617630616,
                0.9999996072136592,
                0.9999997300422869,
                0.9999996940977002,
                0.9999996533672962
            ],
            [
                0.9999998144608538,
                0.999999789756684,
                0.9999996940977731,
                0.9999998362622357,
                0.9999998874648245,
                0.9999998555020135,
                0.9999999006880904,
                0.9999997897565838,
                0.999999814460854,
                0.9999999317439059
            ],
            [
                0.9999998724809875,
                0.9999997617630617,
                0.9999996940976272,
                0.9999998144608981,
                0.9999997617629764,
                0.9999997300421903,
                0.9999998724808963,
                0.9999997897566089,
                0.9999997300422868,
                0.999999789756634
            ],
            [
                0.9999994284992805,
                0.9999994956524716,
                0.9999997897566089,
                0.9999997897565587,
                0.999999730042319,
                0.9999997300421903,
                0.9999998362622357,
                0.9999996072137061,
                0.9999989322970027,
                0.9999998362622943
            ],
            [
                0.9999998555019618,
                0.9999994956523514,
                0.9999991684718732,
                0.9999998724808963,
                0.9999998144608538,
                0.9999997300422868,
                0.9999999006880904,
                0.9999998874648514,
                0.9999998724809115,
                0.9999997300421581
            ],
            [
                0.999999855501979,
                0.9999998362622747,
                0.9999998724808964,
                0.9999998362622552,
                0.9999997617629764,
                0.9999998144609203,
                0.9999996072137529,
                0.9999998144608319,
                0.9999999006880194,
                0.9999998724808963
            ],
            [
                0.9999997617631469,
                0.9999997617631752,
                0.9999998724810027,
                0.9999994284995529,
                0.99999976176309,
                0.999999900688043,
                0.9999997300422547,
                0.9999997897565587,
                0.9999997897567341,
                0.9999996940976272
            ],
            [
                0.999999814460876,
                0.9999998724809115,
                0.9999997617630332,
                0.9999998724808963,
                0.9999996533673375,
                0.999999730042126,
                0.9999998724809723,
                0.9999998555020135,
                0.9999998144608098,
                0.9999998724808963
            ],
            [
                0.9999994956527121,
                0.9999999006880785,
                0.9999999006880194,
                0.9999998724809267,
                0.999999887464905,
                0.9999997897566338,
                0.9999999123575255,
                0.9999997897567091,
                0.9999998874648782,
                0.9999998144609202
            ]
        ]
    },
    {
        "q_id": "10561_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                2.753568451218037e-05,
                0.9999970976887068,
                0.00012339457451399896,
                0.00012339463359722775,
                0.9999984465024306,
                3.120190764467241e-05,
                0.9999970976873229,
                0.9999977396748938,
                0.0004305571339941987,
                6.605213674374218e-05
            ],
            [
                5.422220262264056e-06,
                3.726638395493353e-06,
                2.2603234895053587e-06,
                3.12019038974219e-05,
                1.6701419853184244e-05,
                4.785092783371756e-06,
                8.939697368305565e-06,
                4.222832940500659e-06,
                3.288749457432399e-06,
                6.14417313680765e-06
            ],
            [
                2.5612819054028872e-06,
                5.422217676925328e-06,
                2.9023109472244114e-06,
                1.9947301970813926e-06,
                2.2603245673155757e-06,
                1.1478765386330758e-05,
                1.994730434879465e-06,
                7.889266347356409e-06,
                4.222833947897496e-06,
                1.1478768125911099e-05
            ],
            [
                8.481104109174285e-05,
                1.4738981971813965e-05,
                6.962259569560613e-06,
                5.8291258543467846e-05,
                5.829127243528923e-05,
                0.00033534998500386437,
                0.9989677691655184,
                0.0004305570293439381,
                3.120190020862863e-05,
                0.9995121428231761
            ],
            [
                0.9999485577618298,
                0.9999339478553375,
                0.9999151889183355,
                1.7603436330091044e-06,
                0.999820471970005,
                0.9999852610127582,
                5.422217030555087e-06,
                0.9998601779594724,
                0.9999910603004992,
                0.9999832985721833
            ],
            [
                4.785095064819011e-06,
                6.9622545892184106e-06,
                2.2603248367656408e-06,
                7.889259764079887e-06,
                2.260323489490968e-06,
                3.535623804803683e-05,
                2.9023109471452223e-06,
                6.144175334418252e-06,
                5.422220908762902e-06,
                1.1478768124992398e-05
            ],
            [
                0.9998601779764474,
                0.9995121428296759,
                0.9993736658996759,
                0.9997694932573558,
                0.9998601779261043,
                0.9991959139711655,
                0.9998601779762012,
                0.9999038975513879,
                0.9997040430070916,
                0.999796573099902
            ],
            [
                2.4300240626059064e-05,
                2.144495608105136e-05,
                1.300712536350655e-05,
                4.222834451254188e-06,
                3.120192625175911e-05,
                1.1478766755233466e-05,
                NaN,
                7.889263525534328e-06,
                2.4300252319296727e-05,
                1.4738978454172926e-05
            ],
            [
                3.2887494571676872e-06,
                4.5397890257685224e-05,
                0.006692850921189114,
                2.1444948411552198e-05,
                0.9997694933396986,
                1.6701423827421826e-05,
                0.8175744739711883,
                3.535625489632318e-05,
                2.1444953516281788e-05,
                0.998967768940797
            ],
            [
                2.14449509695729e-05,
                0.9999810748427375,
                2.7535704219423216e-05,
                3.120192246738913e-05,
                0.00012339458901190178,
                0.00012339457463788196,
                1.1478765386894505e-05,
                3.535626752263942e-05,
                2.7535694314662472e-05,
                2.7535681240079227e-05
            ],
            [
                4.222834451012227e-06,
                4.0063687388140825e-05,
                0.9947798749061356,
                6.962259569630266e-06,
                2.2603234895053587e-06,
                0.9933071478002691,
                4.2228334445658276e-06,
                1.3007126913346863e-05,
                0.990291525783873,
                0.9924227587391425
            ],
            [
                0.9995121429383267,
                2.7535691088138193e-05,
                0.9669140229222414,
                5.1442195248304415e-05,
                0.9993736658981092,
                0.029312230009385914,
                5.8291251635303294e-05,
                0.00026119027441736157,
                7.889265406438011e-06,
                NaN
            ],
            [
                2.1444950968441685e-05,
                0.9994472212662482,
                2.5612834320214477e-06,
                2.5612828212909852e-06,
                0.9992903295368345,
                0.0229773715408218,
                1.8925148237775583e-05,
                6.605216810274483e-05,
                8.93969630388855e-06,
                4.222833947897496e-06
            ],
            [
                0.9996200154257733,
                0.9996200154702357,
                0.9999151889687554,
                0.9999251537549112,
                0.9998204720124919,
                0.999796573002639,
                0.9986749778218702,
                0.9999938558268633,
                0.999972464315471,
                0.9999785550515867
            ],
            [
                0.9999646437366505,
                0.9999810748427528,
                9.610246038199721e-05,
                4.22283193338827e-06,
                4.539785780309804e-05,
                5.829126548301662e-05,
                5.14422258072462e-05,
                9.610243771350267e-05,
                6.9622579092224155e-06,
                0.00015843617851744144
            ],
            [
                4.53978686205205e-05,
                1.4738988998787566e-05,
                2.7535697649071857e-05,
                1.4738978453315019e-05,
                2.144494585583323e-05,
                3.120191680332094e-05,
                1.0129989768322136e-05,
                6.605216039358521e-05,
                5.829127243528923e-05,
                6.962255419653012e-06
            ],
            [
                0.9984988178753582,
                0.9980732653966695,
                0.9324533065140289,
                0.9997965729307194,
                1.0129995810076682e-05,
                0.9994472214539232,
                0.00033535006953589006,
                0.9995121429606358,
                1.1478766757049986e-05,
                0.9980732649099776
            ],
            [
                NaN,
                1.4738978457041559e-05,
                0.999860177959267,
                1.3007131561804229e-05,
                1.1478768124324254e-05,
                0.9998766054546542,
                2.753569108573408e-05,
                6.605217611898388e-05,
                0.0002959570275328892,
                2.1444940742640888e-05
            ],
            [
                6.962257078819179e-06,
                1.4738978456398127e-05,
                2.902313368897403e-06,
                3.2887498492936755e-06,
                1.300712536203966e-05,
                5.422218323349895e-06,
                0.00013982202319251118,
                2.260325375391425e-06,
                6.962257909121104e-06,
                3.726640616423495e-06
            ],
            [
                7.889261645090304e-06,
                3.726638839833152e-06,
                4.785093924251918e-06,
                2.9023133690980155e-06,
                8.939693106873817e-06,
                1.8925141470949294e-05,
                6.9622587396067566e-06,
                1.6701425826191394e-05,
                1.9947294837154625e-06,
                9.422444815792981e-07
            ],
            [
                0.9999724643121942,
                0.9999151889384451,
                0.9998204720127897,
                0.9999810748495044,
                0.9999485578047611,
                0.9999756997622389,
                0.9996200155611946,
                0.9997040430069108,
                0.999954602147616,
                0.9999832985801549
            ],
            [
                0.9997040429401589,
                1.5534983101393749e-06,
                6.144176798691468e-06,
                2.144495351940237e-05,
                0.0005527786908528454,
                4.006369694347607e-05,
                0.999925153781686,
                6.962253758182361e-06,
                NaN,
                3.7266401726173067e-06
            ],
            [
                0.9999810748540389,
                0.999876605439966,
                0.9999898700102313,
                0.9999910603005006,
                0.999968798081212,
                0.9999832985781592,
                0.9999832985781597,
                0.9999869928746395,
                0.9999938558253982,
                0.9999724643056253
            ],
            [
                8.939698434495167e-06,
                6.144172404380855e-06,
                1.5534975693792215e-06,
                3.288749457409966e-06,
                1.1478764020560142e-05,
                2.5612828213818346e-06,
                3.2887490653872164e-06,
                6.962254589705982e-06,
                7.889259763857458e-06,
                2.90231233114251e-06
            ],
            [
                1.8925157263094544e-05,
                3.2887486732000038e-06,
                1.8925143725892257e-05,
                2.1444948410928083e-05,
                4.5397852378781204e-05,
                2.4300252309307336e-05,
                2.4300237832303074e-05,
                1.6701415868649062e-05,
                9.610239175986197e-05,
                1.8925141472773765e-05
            ],
            [
                0.9999785550464741,
                0.9990889489958571,
                1.7603438428564603e-06,
                0.9999810748517589,
                0.999941708734458,
                0.9999251537639021,
                0.999948557786589,
                5.422218969858371e-06,
                0.9999977396751634,
                0.9999810748585362
            ],
            [
                8.939695237504067e-06,
                2.7535684522397864e-05,
                3.535626334323525e-05,
                6.962258739271155e-06,
                0.9991959139672839,
                6.144177530794679e-06,
                2.753568453191415e-05,
                1.670142183934597e-05,
                1.670142980726572e-05,
                7.88925976397226e-06
            ],
            [
                1.4738981970312625e-05,
                2.4300252310279753e-05,
                1.300712536258383e-05,
                1.300713311614059e-05,
                2.7535700934898458e-05,
                6.144173869240119e-06,
                2.4300246525276163e-05,
                2.4300237825230942e-05,
                4.0063692179945426e-05,
                7.889263524443698e-06
            ],
            [
                1.1478766756653273e-05,
                2.902311639126627e-06,
                4.785093353739995e-06,
                6.1441724044534996e-06,
                3.288747889229516e-06,
                2.144494584573034e-05,
                4.78509563546605e-06,
                6.962258739271155e-06,
                6.144173868781898e-06,
                8.939697368500698e-06
            ],
            [
                1.4738981960339432e-05,
                1.300712690556288e-05,
                0.9999986290429567,
                1.3007128453415979e-05,
                0.9999967112501505,
                0.9999989322972573,
                0.9999984465026158,
                0.9999977396757022,
                1.1478770855741353e-05,
                0.9999785550515996
            ],
            [
                0.9986749775153136,
                0.9997965730024289,
                0.9997040429708655,
                0.9999687980811913,
                0.9993736659756056,
                0.9971990733079622,
                0.9980732655981519,
                0.9982992776613012,
                0.10669058542447808,
                0.999447221389639
            ],
            [
                1.209865250822125e-06,
                4.785096205582214e-06,
                8.939699499432793e-06,
                2.144494328201519e-05,
                1.0129992187253088e-05,
                5.422218969601935e-06,
                2.4300234925658572e-05,
                4.22283394786293e-06,
                8.939699500636112e-06,
                5.422218968595919e-06
            ],
            [
                3.120191505506507e-05,
                1.300712535865635e-05,
                1.1478773595657069e-05,
                4.00636969277356e-05,
                0.9959298629768498,
                7.484625365166955e-05,
                3.53562633231704e-05,
                3.7266379512518984e-06,
                4.0063682603624035e-05,
                2.7535704220525098e-05
            ],
            [
                0.00010889692199259365,
                4.5397868609620665e-05,
                1.30071315602427e-05,
                0.00013982202368890325,
                1.300712846217e-05,
                9.610238020678204e-05,
                3.12019187926687e-05,
                2.753570420970657e-05,
                6.605216038349344e-05,
                1.147876949187012e-05
            ],
            [
                1.2098658277181688e-06,
                6.962256246896338e-06,
                1.892514371356847e-05,
                4.7850933535006355e-06,
                5.422217030555087e-06,
                4.785096775842062e-06,
                7.889259763857458e-06,
                1.6701415867221242e-05,
                5.422218323231539e-06,
                1.3007134664514934e-05
            ],
            [
                1.1478772229989872e-05,
                4.222832437186393e-06,
                1.209865827698362e-06,
                5.422219616228845e-06,
                1.0129995809044816e-05,
                1.892514823364471e-05,
                8.939700566565793e-06,
                1.473898021366358e-05,
                1.2098653949688097e-06,
                4.7850967763512445e-06
            ],
            [
                2.260324028427877e-06,
                5.422217030663578e-06,
                2.561281600049467e-06,
                1.3709570434122812e-06,
                3.12019002122609e-05,
                2.260324028427877e-06,
                1.0129993394664264e-05,
                6.144173869312763e-06,
                4.006367783266211e-05,
                7.889263526093993e-06
            ],
            [
                0.6513548646660543,
                0.9995121427673181,
                7.484626271930705e-05,
                3.288749065029781e-06,
                0.99986017797589,
                0.9999938558232021,
                0.9997965729782308,
                3.5356242262551455e-05,
                5.8291279270086916e-05,
                7.484622706844701e-05
            ],
            [
                3.288750240223275e-06,
                2.902311292783513e-06,
                8.93969630333567e-06,
                4.785095064148803e-06,
                1.76034258364702e-06,
                6.144175333926503e-06,
                1.3007125360478133e-05,
                1.553497939625029e-06,
                2.5612825155181522e-06,
                2.430024358097153e-05
            ],
            [
                2.753569763394596e-05,
                0.0002959570211521872,
                1.30071315640992e-05,
                5.422220262505697e-06,
                6.144173136729416e-06,
                6.962257079465052e-06,
                3.120191134459038e-05,
                6.9622587396067566e-06,
                8.939699500766203e-06,
                0.00017952802968414412
            ],
            [
                0.7057850278370112,
                0.9999756997593006,
                0.999915188959076,
                0.0003353500252014547,
                0.9993736659131931,
                0.999988521231884,
                0.9995121427858239,
                0.9999756997592744,
                0.999620015462232,
                0.9995694429670988
            ],
            [
                5.144220750870732e-05,
                5.8291244679640374e-05,
                7.484620906713788e-05,
                0.00012339463286649722,
                0.999195914141769,
                5.1442201347440924e-05,
                4.539787939285985e-05,
                7.889259764273619e-06,
                2.1444945850567248e-05,
                2.1444940740066406e-05
            ],
            [
                0.9999599362934953,
                0.9998601778592866,
                0.9998911031037506,
                0.9998415638022435,
                9.422448185510695e-07,
                0.9998766054251287,
                0.999954602147594,
                0.9999599363125938,
                0.9997388097529262,
                0.9999599362935055
            ],
            [
                1.0129993393742954e-05,
                4.006369694755693e-05,
                1.7603440527046419e-06,
                7.338208930391909e-07,
                0.9999546021476569,
                2.144495863411905e-05,
                7.889260704531226e-06,
                1.2098652508347793e-06,
                2.260324028427877e-06,
                8.939698435454571e-06
            ],
            [
                3.2887498494551953e-06,
                6.144173135762683e-06,
                6.9622554185195676e-06,
                2.260324028372372e-06,
                1.8925150487521332e-05,
                3.726639728224814e-06,
                8.939699499432793e-06,
                1.3007126912258525e-05,
                1.9947297214944016e-06,
                3.2887482810382622e-06
            ],
            [
                0.9991959140530534,
                0.9997694931747446,
                0.9991959142403056,
                0.9995694429175856,
                0.9991959139522719,
                0.9993736659736382,
                0.9997965730269229,
                0.9996200155609736,
                0.9997694933394337,
                0.9997694933125014
            ],
            [
                0.9999599362887142,
                0.9999485577863566,
                3.7266388397382506e-06,
                0.2942149783515162,
                0.0010322308941431897,
                0.9997040427644699,
                0.9998601778937778,
                0.9999339478553327,
                4.5397879429522924e-05,
                0.9997965730276333
            ],
            [
                4.539786859541785e-05,
                5.422218323349895e-06,
                1.9947294837154625e-06,
                1.0129993394959082e-05,
                3.120191881321371e-05,
                3.726638839806038e-06,
                4.22283545808297e-06,
                1.6701423829123058e-05,
                5.82912723275678e-05,
                9.610239189829757e-05
            ],
            [
                0.9995694428617596,
                0.9998204720125233,
                0.9996200155139906,
                0.9999038975392628,
                0.9999646437492923,
                0.9999417087483685,
                0.9996646498911933,
                0.9996200154699372,
                0.9999687980811937,
                0.9999251537549292
            ],
            [
                3.1201918783020485e-05,
                1.1478768116515313e-05,
                7.8892607025437e-06,
                2.144494074201677e-05,
                2.4300243615448162e-05,
                1.1478765388898939e-05,
                1.4738980209829803e-05,
                3.535626334799422e-05,
                1.300712846361323e-05,
                4.785096776394765e-06
            ],
            [
                5.144222590979679e-05,
                3.535624649610246e-05,
                6.605215254506384e-05,
                1.012999218752948e-05,
                1.1478765388898939e-05,
                4.53978631524379e-05,
                1.4738978457336465e-05,
                4.785096205973894e-06,
                6.962256249606473e-06,
                3.726638839833152e-06
            ],
            [
                4.222832437747125e-06,
                2.1444953527476883e-05,
                4.222831934248571e-06,
                5.422220908634683e-06,
                2.753569108693614e-05,
                1.1478764018827141e-05,
                1.3007128463873485e-05,
                1.2098658277264215e-06,
                6.605214464272057e-05,
                2.4300252320622747e-05
            ],
            [
                4.78509563555309e-06,
                1.3007126913583456e-05,
                4.0063677800452475e-05,
                3.726639284103523e-06,
                7.889264466725156e-06,
                2.144495096457996e-05,
                2.1444956074147067e-05,
                1.9947294837154625e-06,
                2.902310947208574e-06,
                7.889263526093993e-06
            ],
            [
                1.6701421841259862e-05,
                1.3007131561804229e-05,
                4.222832941111319e-06,
                4.2228334445370225e-06,
                1.1478769494250387e-05,
                2.4300232032009452e-05,
                4.0063706508432764e-05,
                1.0129989771473008e-05,
                NaN,
                3.1201918794144304e-05
            ],
            [
                0.9998911030908354,
                0.00012339463349668496,
                2.4300237828059798e-05,
                0.9998415638211253,
                4.00637017209988e-05,
                8.481102080505906e-05,
                2.753569765708558e-05,
                8.481108169906156e-05,
                2.7535681246690542e-05,
                2.753570091316123e-05
            ],
            [
                0.9999417087344762,
                0.00010889690597027025,
                5.8291293334097926e-05,
                1.01299933928585e-05,
                NaN,
                0.9992903295343991,
                1.0129986836905182e-05,
                4.006367780569929e-05,
                4.539785238670836e-05,
                4.7850950649408664e-06
            ],
            [
                6.144173869446876e-06,
                2.430023204129162e-05,
                4.785095635017795e-06,
                0.9996200154812794,
                2.4300252313020203e-05,
                6.144175334015912e-06,
                0.9993736658197019,
                0.1329642316084462,
                1.5534984952492866e-06,
                3.120192624733229e-05
            ],
            [
                8.939696303010449e-06,
                7.88926634644516e-06,
                1.1478773596847203e-05,
                1.9947297214544894e-06,
                2.9023130230133794e-06,
                3.726641061027928e-06,
                1.6701421832054962e-05,
                1.4738987236641703e-05,
                8.93970055502043e-06,
                4.222831934202483e-06
            ],
            [
                0.9971990728969631,
                0.9996200155594701,
                0.977022629295484,
                0.9996200154709542,
                0.9995121428224666,
                0.9940889314420113,
                0.9995121429387809,
                0.9988304900066518,
                0.987568347294515,
                0.9993736657532452
            ],
            [
                4.0063687374440786e-05,
                3.1201900204769344e-05,
                1.670142383495587e-05,
                2.7535697653779924e-05,
                2.7535681236473055e-05,
                7.889263525778283e-06,
                9.610238041093959e-05,
                0.0006263340864061083,
                2.7535700936100516e-05,
                2.1444943298320236e-05
            ],
            [
                0.9999810748495063,
                0.9998601779593056,
                0.9998415637455751,
                0.9999785550515891,
                0.9999339478631961,
                0.9999599363030446,
                0.9999852610233023,
                0.9999339478317756,
                4.539785238918559e-05,
                0.999981074842736
            ],
            [
                4.0063692152253866e-05,
                1.6701427813417103e-05,
                2.7535691098355687e-05,
                1.0129988563914856e-05,
                2.7535700936100516e-05,
                1.4738988995409548e-05,
                5.422218323290717e-06,
                1.8925143728749452e-05,
                4.785096205830278e-06,
                6.1441738691562974e-06
            ],
            [
                0.9999599363125974,
                0.9999785550490792,
                0.9999599362887367,
                0.9999417087344686,
                0.9998766053664029,
                0.9997388095661343,
                0.999986992869987,
                0.9999599362935857,
                0.99995993630782,
                0.9999251537370814
            ],
            [
                1.7603430034743913e-06,
                3.726638395611981e-06,
                8.939696304116203e-06,
                4.2228329411708495e-06,
                7.889260704818233e-06,
                3.7266401725935817e-06,
                5.422217677028889e-06,
                3.2887494573561262e-06,
                4.222831934321543e-06,
                1.99472900813862e-06
            ],
            [
                0.9998601779759694,
                0.9999151889285072,
                0.998498817699115,
                0.9998415637271383,
                0.9998204719699371,
                0.867035763237924,
                0.9998601779765635,
                1.0677032518700286e-06,
                0.9999485577741191,
                0.9999038975738075
            ],
            [
                2.430025231469984e-05,
                2.4300234914166368e-05,
                6.962259569484628e-06,
                1.5534981249574276e-06,
                1.0129988563343644e-05,
                6.962257079705671e-06,
                8.939696303758459e-06,
                4.222832437639588e-06,
                2.260325106237323e-06,
                1.1478773599102191e-05
            ],
            [
                8.93969736929749e-06,
                1.5534979397592542e-06,
                1.8925143726890553e-05,
                1.6701423822135842e-05,
                4.539789027320923e-05,
                2.7535697653779924e-05,
                4.785092783415276e-06,
                6.144173868312501e-06,
                2.1444958635523312e-05,
                6.144172404587612e-06
            ],
            [
                3.5356246473207964e-05,
                0.0001795279227538065,
                0.9999810748449924,
                0.9999910603036963,
                0.9999251537906317,
                0.9999724643121878,
                0.9999485577740902,
                0.9999646437450794,
                0.9999724643089034,
                0.9999869928746369
            ],
            [
                1.670141581430069e-05,
                1.6701415864001047e-05,
                NaN,
                2.902310946944611e-06,
                1.0129988563546333e-05,
                2.902311984873224e-06,
                7.889266338208041e-06,
                1.6701427811898146e-05,
                3.535623804623613e-05,
                2.260325375572331e-06
            ],
            [
                1.6701425824307884e-05,
                5.422220908876325e-06,
                2.5612828213818346e-06,
                2.2603242978213447e-06,
                1.994729483705484e-06,
                5.422218969128516e-06,
                7.889259764079887e-06,
                7.889261643727018e-06,
                1.6701421840804172e-05,
                4.539788472519189e-05
            ],
            [
                2.4300246522270504e-05,
                8.939695233292452e-06,
                3.2887486733420804e-06,
                1.4738981969615573e-05,
                2.2603251062147097e-06,
                NaN,
                7.889265407255982e-06,
                2.1444945854624007e-05,
                6.144176066353646e-06,
                6.962257079775324e-06
            ],
            [
                2.260325375664839e-06,
                6.144176797283277e-06,
                2.9023119851635836e-06,
                5.829127240857092e-05,
                6.962258739530771e-06,
                6.962254589851619e-06,
                4.222833444506298e-06,
                1.670142781709299e-05,
                2.4300252294986265e-05,
                6.962256249758443e-06
            ],
            [
                5.715005151550947e-07,
                0.996406397066761,
                0.9964063968424972,
                0.9993736659736382,
                0.9995121427660125,
                0.9959298619348994,
                0.9971990727766549,
                0.9995694429632911,
                3.2887498493983645e-06,
                7.88926634687567e-06
            ],
            [
                2.4300234929636645e-05,
                4.7850967757637256e-06,
                6.962257079376403e-06,
                8.939696303758459e-06,
                1.4738988997044936e-05,
                1.0129988564099116e-05,
                1.1478772229050293e-05,
                2.2603234894560207e-06,
                4.0063706494441236e-05,
                1.0677029972993568e-06
            ],
            [
                2.4300234921326896e-05,
                2.4300232032009452e-05,
                3.535625070920327e-05,
                1.47389819699641e-05,
                4.5397890257685224e-05,
                1.3007134665130082e-05,
                5.829126544654401e-05,
                4.0063706494441236e-05,
                1.012999339449843e-05,
                5.8291244647832884e-05
            ],
            [
                0.00013982202329219646,
                0.9997040427620245,
                5.144220135417782e-05,
                2.4300234933172706e-05,
                0.00010889693479365852,
                0.0953494674697966,
                2.144494073569759e-05,
                7.48462360489553e-05,
                1.3007131564643372e-05,
                8.939697369151141e-06
            ],
            [
                0.9999485577620255,
                0.9999810748495058,
                0.9999832985801471,
                0.9995121428815036,
                0.999975699762166,
                0.9999962733616045,
                0.9999687980997866,
                0.9999852610127591,
                0.9999852610215482,
                0.9999885212305076
            ],
            [
                1.4738976698006875e-05,
                5.144223815074485e-05,
                1.670142383015595e-05,
                4.785096205077381e-06,
                2.260325375650449e-06,
                1.0129987355988324e-05,
                9.610240342690799e-05,
                5.144223202241074e-05,
                1.670142781560441e-05,
                3.726639284050988e-06
            ],
            [
                7.889261644982674e-06,
                3.726641061085547e-06,
                2.43002378338943e-05,
                2.9023119851266288e-06,
                1.3709575337078829e-06,
                8.939699500489763e-06,
                3.7266406168403854e-06,
                1.6701423825538316e-05,
                1.6701427816728442e-05,
                2.2603248367656408e-06
            ],
            [
                7.338209805224048e-07,
                1.3007123812317831e-05,
                1.2098656834723998e-06,
                0.9998911031167291,
                1.553498124964492e-06,
                0.9995694429096069,
                2.2603237589779086e-06,
                3.7266410609940346e-06,
                5.422219616184461e-06,
                7.338212429537553e-07
            ],
            [
                0.9989677690630012,
                0.9995694429694661,
                0.9890130553352936,
                0.9988304900126354,
                1.3709570433885908e-06,
                0.9997040428652609,
                7.889263520942206e-06,
                0.9999251537729958,
                8.939699500896292e-06,
                1.7603425837062577e-06
            ],
            [
                0.9998204721014595,
                0.9998204720770398,
                0.0011695104232115306,
                0.9990889488428986,
                0.9992903297026108,
                0.9993736657546297,
                0.9995121429428112,
                0.9996200154705231,
                5.8291293247581486e-05,
                4.539786858319682e-05
            ],
            [
                4.222833947932061e-06,
                4.785095064523075e-06,
                4.785092783371756e-06,
                8.315278294001114e-07,
                2.2603242978665707e-06,
                6.962257908487893e-06,
                2.260325375650449e-06,
                1.5534981249496567e-06,
                6.144176798870286e-06,
                3.288749457383046e-06
            ],
            [
                0.0024726226794090163,
                0.999948557780265,
                1.76034363298589e-06,
                5.144219505967133e-05,
                0.00010889693517235078,
                0.00023050682421580176,
                0.00033535010892368446,
                0.00043055713700031065,
                7.484626291860775e-05,
                8.939694172290508e-06
            ],
            [
                1.3007130013856124e-05,
                4.785094494185095e-06,
                1.3709567165386693e-06,
                1.4738981970312625e-05,
                2.2603245673279107e-06,
                6.144172401748879e-06,
                1.1478765388105516e-05,
                1.4738987239698005e-05,
                1.300713466619476e-05,
                4.222833444429485e-06
            ],
            [
                0.9999756997650643,
                0.9999910603004999,
                0.9999724643154754,
                0.9999151889486347,
                0.9999832985821409,
                0.9999599363078182,
                0.9999038976080584,
                0.9999687980960889,
                0.9999546021205883,
                0.999978555043919
            ],
            [
                1.0129992187105678e-05,
                5.4222170304318e-06,
                0.9988304898688943,
                1.473898021457511e-05,
                2.7535704220525098e-05,
                5.8291258543467846e-05,
                1.4738981970956057e-05,
                0.00017952796510487844,
                6.605213674902834e-05,
                1.892515500560259e-05
            ],
            [
                1.8925148171543824e-05,
                0.9998204720367809,
                0.00013982203857049427,
                1.553497199007048e-06,
                0.5621765008857981,
                0.999088948891589,
                1.3007129908949796e-05,
                2.9023116390104826e-06,
                5.144221363703851e-05,
                3.726640616423495e-06
            ],
            [
                0.999373665975387,
                0.9998766053665034,
                0.9999687980849155,
                0.9999151889485612,
                0.9999417087206125,
                0.9999599363126035,
                0.9998204720128943,
                0.999933947871098,
                0.9999485577802376,
                0.9999038975393139
            ],
            [
                0.9999546021367736,
                0.9994472213893174,
                0.9999599363030446,
                0.9999756997476854,
                0.9999417087136441,
                0.9999785550592557,
                0.9999151889486014,
                0.9999756997592674,
                0.9999599363125902,
                0.9999151889385179
            ],
            [
                6.605212103421139e-05,
                3.5356250701614645e-05,
                0.0004878570492414825,
                4.539787402650773e-05,
                0.00012339454487723868,
                1.8925145981283003e-05,
                1.89251482355036e-05,
                0.9997694932025321,
                2.5612831265909735e-06,
                3.5356242257020764e-05
            ],
            [
                0.03308597874623473,
                0.9999485577741519,
                0.9996200154239604,
                0.9820137860570862,
                0.9953904277714838,
                0.9924227573244588,
                0.14804719615221756,
                0.9959298617914425,
                0.34864513533394575,
                3.7266392840781026e-06
            ],
            [
                0.9984988174338775,
                2.144495608105136e-05,
                2.4300252319959737e-05,
                2.7535687815134722e-05,
                0.9988304895880756,
                0.9989677690452349,
                0.9975273772246864,
                0.9991959139547972,
                0.9989677691826846,
                2.144495352533148e-05
            ],
            [
                2.7535700938304286e-05,
                7.88925976418034e-06,
                1.0129994602057158e-05,
                2.1444950969026795e-05,
                8.93969736942758e-06,
                2.144494838814782e-05,
                7.889261644982674e-06,
                1.8925157257345735e-05,
                7.889265406567165e-06,
                1.0129988564099116e-05
            ],
            [
                2.4300246486733047e-05,
                4.0063682603624035e-05,
                1.670142781636389e-05,
                4.006367783047594e-05,
                0.9997388097841076,
                0.9999832985721898,
                2.1444953522913026e-05,
                0.9999724643154692,
                0.00010889692189118655,
                0.9999485577802376
            ],
            [
                0.9999646437366672,
                4.2228324377740105e-06,
                0.9999599363221524,
                0.9999417087275736,
                0.9999646437408728,
                0.9999151889687937,
                0.9999417087553318,
                0.9997694932579526,
                0.9998204720767708,
                7.338212429537553e-07
            ],
            [
                3.7266397282926013e-06,
                3.7266383955882547e-06,
                0.9999756997505788,
                5.4222202624563834e-06,
                1.8925152747938785e-05,
                3.535623805331028e-05,
                3.2887490653647836e-06,
                2.5612812947077304e-06,
                6.475945666051092e-07,
                3.2887478891487563e-06
            ],
            [
                1.760344052693435e-06,
                8.939693106329072e-06,
                1.8925155002710973e-05,
                2.4300240716759115e-05,
                4.222833947121688e-06,
                4.2228324375973415e-06,
                3.2887486732000038e-06,
                2.144495096785658e-05,
                8.93969736929749e-06,
                3.7266397283231055e-06
            ],
            [
                0.9995694429636544,
                0.9999151889182282,
                0.9993736658225802,
                0.9995121429386673,
                0.9999546021151215,
                0.9996200154241814,
                0.9997694933123403,
                0.9999485577924737,
                0.9998601778761356,
                0.9998204720129986
            ],
            [
                3.120190764966677e-05,
                4.785095065093186e-06,
                8.481104124846826e-05,
                NaN,
                4.006370650653807e-05,
                7.889261645090304e-06,
                6.9622537599680095e-06,
                6.962253759670401e-06,
                1.4738988998787566e-05,
                5.144221362431326e-05
            ],
            [
                1.892515275165658e-05,
                1.1478766756444477e-05,
                1.1478770856952364e-05,
                6.962254587597396e-06,
                NaN,
                1.4738980211920955e-05,
                1.3709567165386693e-06,
                4.22283193393364e-06,
                6.144176797283277e-06,
                1.1478772228528306e-05
            ],
            [
                1.0677027427569065e-06,
                3.12019076269651e-05,
                1.892514372640862e-05,
                1.8925143724239906e-05,
                1.6701421837158667e-05,
                8.939694170062744e-06,
                7.889261644760245e-06,
                2.9023130230846496e-06,
                4.222832437386106e-06,
                1.994729721482609e-06
            ],
            [
                1.892515725920463e-05,
                NaN,
                2.7535704228438656e-05,
                3.288749849498565e-06,
                3.726639284017094e-06,
                7.889263525261671e-06,
                9.610243727442389e-05,
                7.88925976418034e-06,
                6.962258739068529e-06,
                0.9999339478317142
            ],
            [
                6.605213675431452e-05,
                3.726638839806038e-06,
                4.0063682616886836e-05,
                2.7535700943413033e-05,
                2.7535687811228037e-05,
                6.144174601410037e-06,
                0.00010889694770880794,
                4.539789028064095e-05,
                1.1478768124783601e-05,
                1.6701425818232042e-05
            ],
            [
                0.0002305066861370812,
                1.3007134665413997e-05,
                7.889266347456862e-06,
                4.78509278348926e-06,
                1.4738981970956057e-05,
                1.6701421843720577e-05,
                1.6701427815999337e-05,
                5.4222183234485234e-06,
                1.0129990979547237e-05,
                1.0129993393319151e-05
            ],
            [
                5.144222588434628e-05,
                6.1441760667392215e-06,
                1.6701415871049018e-05,
                6.144176066051891e-06,
                6.144175334418252e-06,
                1.1478769493728398e-05,
                5.422217677078203e-06,
                4.539786323319574e-05,
                1.300713001508642e-05,
                1.3007133115903994e-05
            ],
            [
                1.0677026154730804e-06,
                9.422448185478557e-07,
                3.726639728224814e-06,
                5.422220262264056e-06,
                1.1478769493916314e-05,
                6.962258737979408e-06,
                3.2887506335906595e-06,
                2.902312331081799e-06,
                4.222832437443716e-06,
                3.288747889229516e-06
            ],
            [
                2.1444953520182517e-05,
                6.1441746017453204e-06,
                4.006368737910463e-05,
                2.4300240728958537e-05,
                0.9999756997679824,
                2.7535697652678035e-05,
                4.539786863769599e-05,
                1.1478769491598686e-05,
                7.889260702744606e-06,
                5.422218969384951e-06
            ],
            [
                0.9999952149037942,
                0.9999417087344962,
                0.9999987901341724,
                0.9999832985701939,
                0.9999921107392955,
                0.9999910603047619,
                0.9999957771675623,
                0.9999930377412611,
                0.999994577781677,
                0.999620015519905
            ],
            [
                0.9999921107336535,
                0.999983298578164,
                0.9999832985821396,
                0.9999756997534733,
                0.999933947863225,
                0.9998601779592059,
                0.9998415637453423,
                0.9997965729302667,
                0.9999687980886298,
                0.9999599363126035
            ],
            [
                0.9999599363126486,
                1.1478770859624945e-05,
                0.9999038975735655,
                0.9995121429398309,
                0.9998204720344616,
                1.473898548194914e-05,
                1.67014238214675e-05,
                3.72664061681327e-06,
                2.1444948408275583e-05,
                0.9980732656290457
            ],
            [
                1.7603427936183298e-06,
                6.1441724044534996e-06,
                5.422219616184461e-06,
                1.892514147143123e-05,
                5.043474081957179e-07,
                7.3382080556433e-07,
                3.120191877428034e-05,
                1.994729483694599e-06,
                1.3007134665674251e-05,
                2.7535684528909006e-05
            ],
            [
                3.7266410609940346e-06,
                0.9997965730511625,
                0.9999546021341077,
                7.889260704732132e-06,
                NaN,
                0.9999038975507067,
                0.999512142766495,
                0.9999151889183269,
                0.9999339478474694,
                6.9622595694023114e-06
            ],
            [
                2.144494841326852e-05,
                0.9994472212552823,
                3.5356238064371654e-05,
                2.5612822106841303e-06,
                2.1444943298320236e-05,
                5.422218323019487e-06,
                1.760344052693435e-06,
                0.00015843625426351888,
                0.00043055713230326066,
                5.144220746828593e-05
            ],
            [
                1.4738978455701077e-05,
                0.9999546021422182,
                2.144495608105136e-05,
                7.889264466230069e-06,
                2.7535687801010546e-05,
                4.222832941111319e-06,
                2.7535687767453096e-05,
                3.120191880118183e-05,
                8.939695237813028e-06,
                1.1478770860982112e-05
            ],
            [
                7.889262585211807e-06,
                1.89251482372248e-05,
                0.00020342699535140152,
                0.9995694429103334,
                2.430023783530873e-05,
                0.0005527786066627669,
                0.999447221255861,
                2.4300246521474893e-05,
                1.4738987234014356e-05,
                0.9706877684006775
            ],
            [
                1.892515500715167e-05,
                5.8291272448012225e-05,
                6.144172404520556e-06,
                1.892515049423401e-05,
                6.605214456006411e-05,
                1.8925155008528632e-05,
                7.48462272350754e-05,
                1.3007123811513407e-05,
                6.605216042241888e-05,
                3.5356246487099006e-05
            ],
            [
                NaN,
                4.785096205882502e-06,
                4.539787938262061e-05,
                NaN,
                1.6701429807630274e-05,
                3.5356259112640515e-05,
                2.1444943296369872e-05,
                NaN,
                3.120191508707442e-05,
                0.00017952800144311953
            ],
            [
                0.731058584489497,
                0.9995694429650822,
                0.9993736659051411,
                0.9995121428807939,
                0.9999417087074476,
                0.9820137874717586,
                0.9997040427600956,
                9.422449308673789e-07,
                0.9994472214636994,
                0.974042644968542
            ],
            [
                1.6701429806475863e-05,
                1.4738988999672284e-05,
                4.222832437747125e-06,
                3.120190765307203e-05,
                NaN,
                6.144175334239434e-06,
                4.006369215458579e-05,
                8.939696304213768e-06,
                7.88926446679691e-06,
                1.2098659719716573e-06
            ],
            [
                1.3007126912826352e-05,
                3.7266379513162962e-06,
                1.1478769494083349e-05,
                4.539786319306454e-05,
                6.144174601499446e-06,
                1.8925143727854426e-05,
                8.939695238211425e-06,
                1.4738983723235332e-05,
                1.1478766756653273e-05,
                1.0129987355564522e-05
            ],
            [
                9.422449308673789e-07,
                8.939700562988356e-06,
                1.01299946023704e-05,
                0.9998766054692311,
                0.9999810748585726,
                1.1478764019996392e-05,
                0.7057850278370112,
                0.9999921107355415,
                4.785096206013061e-06,
                0.9999339478241241
            ],
            [
                0.26894141551050293,
                0.017986206540559057,
                6.605212892597951e-05,
                0.04742587839474839,
                0.0021827166552821115,
                0.00023050679730697774,
                6.60521682954498e-05,
                0.9947798741275007,
                0.9914225152515584,
                0.9995121427675735
            ],
            [
                1.6701417852987564e-05,
                0.04208773106961129,
                2.7535691095550887e-05,
                8.481103070097168e-05,
                1.3007130014376633e-05,
                0.0003799844737164393,
                1.6701417857058377e-05,
                4.222831933864508e-06,
                1.3709568799368123e-06,
                0.0035936031466646877
            ],
            [
                0.00023050671371660047,
                6.605213670529732e-05,
                1.8925150489517924e-05,
                0.00020342701688581748,
                0.00010889693499964177,
                9.610238007533814e-05,
                0.9980732649516174,
                7.484622717027548e-05,
                8.481106125749372e-05,
                2.4300243626409964e-05
            ],
            [
                0.9940889298604383,
                1.1478770859019436e-05,
                0.5621765008857981,
                2.5612819052654485e-06,
                0.9998766053675051,
                8.939699499627926e-06,
                0.9994472214588435,
                8.939694169591174e-06,
                2.1444953508090254e-05,
                1.1478764016446877e-05
            ],
            [
                0.9999546021368187,
                0.9998601779594724,
                0.9999756997563729,
                0.9999417087483918,
                0.9998415637643508,
                0.9999785550439201,
                0.9999724643187554,
                0.9999417087136402,
                0.9998911031298106,
                0.9999810748495047
            ],
            [
                0.9989677689417574,
                0.9999038976195121,
                0.9993736658218151,
                0.9999339478327791,
                0.9999785550567057,
                0.9998415638020868,
                0.999903897608017,
                0.9993736658258594,
                0.6224593312018545,
                0.9999546021421827
            ]
        ]
    },
    {
        "q_id": "10541_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            6,
            7,
            8,
            9,
            10,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            125,
            126,
            127
        ],
        "rewards": [
            [
                3.288748673265808e-06,
                1.1478770860982112e-05,
                5.422218323399208e-06,
                3.726638839656906e-06,
                4.222833444283541e-06,
                8.939698435226916e-06,
                1.7603425837702984e-06,
                2.902311985146426e-06,
                1.0129988563343644e-05,
                5.422217030614265e-06
            ],
            [
                0.9997388096613428,
                0.9996646497711177,
                0.9995121428826957,
                0.9993736657526622,
                0.9988304896067062,
                0.9990889487881154,
                0.9986749777189657,
                0.9991959142456838,
                0.9999339478396218,
                0.9995121428267525
            ],
            [
                7.338212429537553e-07,
                2.561281600049467e-06,
                1.9947297214944016e-06,
                0.9964063982305978,
                1.209865539274514e-06,
                6.144177531532303e-06,
                1.3709575337016483e-06,
                2.9023123311055552e-06,
                5.715007195384861e-07,
                4.4508515805199415e-07
            ],
            [
                1.209865683500459e-06,
                1.5534971989992774e-06,
                6.962257079376403e-06,
                2.902310947190096e-06,
                4.78509563555309e-06,
                2.5612831266608576e-06,
                2.9023112931873767e-06,
                4.785096776433933e-06,
                9.422443692489024e-07,
                2.902310947190096e-06
            ],
            [
                1.553497754577351e-06,
                1.0677032518748838e-06,
                8.315282259051341e-07,
                1.9947290081286418e-06,
                1.209866116170145e-06,
                2.2603245672867952e-06,
                3.726638839806038e-06,
                5.422221555133606e-06,
                5.043472879525233e-07,
                4.2228349547223175e-06
            ],
            [
                3.288750241473551e-06,
                3.2887490653109436e-06,
                7.338207180838067e-07,
                1.0677032518748838e-06,
                2.5612815999423112e-06,
                1.209865683500459e-06,
                6.1441767990323395e-06,
                1.2098652508287273e-06,
                3.726639728184142e-06,
                2.561281294558644e-06
            ],
            [
                1.9947294836483373e-06,
                1.670142980726572e-05,
                1.0129992185060374e-05,
                3.288749457383046e-06,
                1.0129990979694647e-05,
                7.338207180801359e-07,
                4.785093924251918e-06,
                2.2603234894745224e-06,
                3.288749457409966e-06,
                5.422217676925328e-06
            ],
            [
                3.7266383955611403e-06,
                4.78509563550957e-06,
                2.5612831266946347e-06,
                1.994729008056074e-06,
                8.93969630348202e-06,
                2.2603245673155757e-06,
                2.561282210701601e-06,
                1.2098659719524008e-06,
                3.726639728224814e-06,
                5.422220908762902e-06
            ],
            [
                1.892515500715167e-05,
                1.3007130014873483e-05,
                2.90231233114251e-06,
                3.7266410609940346e-06,
                4.7850950649408664e-06,
                2.9023109471689794e-06,
                5.422218323231539e-06,
                6.962257909323729e-06,
                4.785093923916815e-06,
                4.22283545808297e-06
            ],
            [
                0.9997388095978097,
                0.9999339478632154,
                0.9996200155614821,
                0.9999485578047577,
                0.9999546021205469,
                0.9998601778761151,
                0.9999339478711399,
                0.9999687980811913,
                0.9998911030778442,
                0.9999599362935014
            ],
            [
                0.9995694429120996,
                0.9996646498124666,
                0.9999038975393677,
                0.9996646499726131,
                0.999620015428537,
                0.999933947831719,
                0.9996646500126838,
                0.9999546021097218,
                0.9997694933124477,
                0.9992903297227135
            ],
            [
                0.9997388096917338,
                3.726640172537657e-06,
                1.4738983727900215e-05,
                1.9947290081286418e-06,
                5.422217676866151e-06,
                7.889264466545779e-06,
                3.2887478891487563e-06,
                6.962253759752719e-06,
                4.785096205778054e-06,
                2.5612819053586272e-06
            ],
            [
                1.0677032518700286e-06,
                6.96225707894582e-06,
                1.3709567165386693e-06,
                3.4663249714325014e-07,
                6.475946437928669e-07,
                1.2098659719661556e-06,
                2.902312331125353e-06,
                1.994729959270648e-06,
                9.422449308673789e-07,
                1.0677032518501217e-06
            ],
            [
                0.9997694933676536,
                0.9999251537549417,
                0.9998911030908227,
                0.9999485577618238,
                0.9999546021205518,
                0.9999546021367831,
                0.999738809629067,
                0.9999852610215443,
                0.9999546021476057,
                0.9997388096911638
            ],
            [
                0.9997965730266685,
                0.9999687980849181,
                0.9997388096600432,
                0.9999756997534762,
                0.9998601778927992,
                0.9998601778594514,
                0.9998766054546057,
                0.9997694933399132,
                0.999891103038858,
                0.99992515374599
            ],
            [
                3.2887502414436403e-06,
                4.222833947932061e-06,
                1.3007123812767362e-05,
                2.2603234894745224e-06,
                5.422218323290717e-06,
                4.785095635296322e-06,
                1.2098661161927025e-06,
                7.338207180661203e-07,
                2.2603251062013478e-06,
                4.78509449410676e-06
            ],
            [
                2.2603242978665707e-06,
                1.1478768124783601e-05,
                3.288749457409966e-06,
                3.7266383955611403e-06,
                4.78509563535725e-06,
                2.144494074076854e-05,
                4.2228344511197656e-06,
                1.3709576971379186e-06,
                8.939700565834043e-06,
                8.93969310662177e-06
            ],
            [
                2.9023123311055552e-06,
                3.7266388397721442e-06,
                6.962253759157502e-06,
                4.222834451254188e-06,
                3.288749849209925e-06,
                3.726639284050988e-06,
                1.994729721482609e-06,
                2.260324567302214e-06,
                1.8925152751174644e-05,
                3.726639728262097e-06
            ],
            [
                0.9999646437493,
                0.9999646437619449,
                0.999959936298269,
                0.999954602147616,
                0.9999251537460211,
                0.9999910603058275,
                0.9999724643056231,
                0.9999938558261307,
                0.9998415638399794,
                0.9999810748495044
            ],
            [
                2.7535694378772238e-05,
                3.288749065209246e-06,
                4.78509563550957e-06,
                6.144176798870286e-06,
                5.422219616026655e-06,
                1.3709570433885908e-06,
                4.222832940942332e-06,
                8.939700566289352e-06,
                1.760343423160973e-06,
                1.994729483666479e-06
            ],
            [
                0.9999869928653345,
                0.9999869928730862,
                0.9999852610127585,
                0.999948557774109,
                0.9999910603015651,
                0.9999687980886387,
                0.9999869928746379,
                0.9999687980737552,
                0.9999869928684351,
                0.9999930377437505
            ],
            [
                0.99781728397605,
                0.9998415637081989,
                0.9995694428608203,
                0.9999251537906448,
                0.9999646437535491,
                0.9998601779594521,
                0.9999417087136441,
                0.9995121428835189,
                0.9998601779263667,
                0.9999546021205596
            ],
            [
                0.9999599363173831,
                0.9998911031037886,
                0.9997965730995557,
                0.9999599363173789,
                0.9998601779260005,
                0.9999546021097218,
                0.9999810748540172,
                0.9999417087275321,
                0.9999251537370873,
                0.9998601779427456
            ],
            [
                7.338213304316717e-07,
                2.2603237589779086e-06,
                1.2098653950606901e-06,
                1.0677028700320085e-06,
                6.475945666033422e-07,
                3.927862470861484e-07,
                6.144176066521288e-06,
                4.785092783371756e-06,
                5.422217676979575e-06,
                2.9023112931688987e-06
            ],
            [
                2.902312677084523e-06,
                1.147876402018431e-05,
                4.222831934286977e-06,
                6.144176798590883e-06,
                7.889264465397747e-06,
                3.5356238064371654e-05,
                7.889262585082652e-06,
                7.889261644501938e-06,
                2.561282210701601e-06,
                2.9023116391477434e-06
            ],
            [
                0.999290329542077,
                0.9996646499708667,
                0.9990889488756414,
                0.9998415637265112,
                0.9989677690436742,
                0.9995121428806805,
                0.9999962733616045,
                0.9999151889485933,
                0.9971990729912589,
                0.9986749777459242
            ],
            [
                3.7266410609160796e-06,
                0.9980732652274243,
                1.760343213322473e-06,
                4.7850933535659155e-06,
                1.5534975693869924e-06,
                5.422218323290717e-06,
                4.785096205717126e-06,
                8.939696304002375e-06,
                6.1441738691562974e-06,
                5.043472278299047e-07
            ],
            [
                5.422221555069497e-06,
                1.1478772229989872e-05,
                6.962254589781966e-06,
                8.939700566143004e-06,
                5.422220908762902e-06,
                4.785093353687772e-06,
                7.889260704631679e-06,
                5.422221555192784e-06,
                2.561282516042282e-06,
                2.4300249408672413e-05
            ],
            [
                3.726637951170554e-06,
                6.144172404129392e-06,
                7.338208930421943e-07,
                3.726639284050988e-06,
                1.7603425837702984e-06,
                1.2098656835076114e-06,
                0.9999151889588787,
                7.889263525893087e-06,
                2.5612831263510383e-06,
                2.5612831266608576e-06
            ],
            [
                0.9999832985721839,
                0.9999646437492953,
                0.9999599362982811,
                0.9999546021151535,
                0.9998601779261674,
                0.9999785550413627,
                0.9999785550464778,
                0.9999646437619356,
                0.9999485577618238,
                0.9999417087344762
            ],
            [
                1.0677031245905116e-06,
                1.994729959270648e-06,
                5.42222090882208e-06,
                2.902312677104321e-06,
                0.9997388096911638,
                5.043474081957179e-07,
                3.2887478892055875e-06,
                3.2887506335906595e-06,
                1.3709570434054234e-06,
                8.31528424162821e-07
            ],
            [
                4.222831934321543e-06,
                4.785092783371756e-06,
                5.715003107689177e-07,
                8.939696301611998e-06,
                6.144173869072478e-06,
                2.9023133689924295e-06,
                4.222834450505264e-06,
                0.9996646498156375,
                4.785094494576774e-06,
                5.04347227811786e-07
            ],
            [
                0.9997965730753606,
                0.9999339478711562,
                0.9998601779093572,
                0.9997965730512482,
                0.9999646437450794,
                0.9999646437535082,
                0.9998911030778315,
                0.9998766054546218,
                0.9999151889485933,
                0.999925153790678
            ],
            [
                4.78509506499309e-06,
                1.0129990979215566e-05,
                1.3007128463873485e-05,
                3.726639728224814e-06,
                1.0129992185539456e-05,
                7.889261644760245e-06,
                6.1441724044534996e-06,
                3.2887502414436403e-06,
                3.726640172503764e-06,
                5.422219615967477e-06
            ],
            [
                9.422444815726566e-07,
                2.9023109471452223e-06,
                1.7603434231705793e-06,
                3.726639284050988e-06,
                4.4508510499737865e-07,
                2.5612812947077304e-06,
                1.3709572068272963e-06,
                9.42244930862237e-07,
                7.338207180801359e-07,
                1.3709568799760888e-06
            ],
            [
                3.726638395493353e-06,
                9.422447062240614e-07,
                1.067703379154416e-06,
                0.9999945777810307,
                6.475946438042047e-07,
                3.288750633569722e-06,
                1.9947306726049992e-06,
                1.7603427936263351e-06,
                2.2603237589676295e-06,
                1.0677032518748838e-06
            ],
            [
                6.962256249429175e-06,
                3.288750633488963e-06,
                3.288750633488963e-06,
                6.962254588724508e-06,
                3.2887478890769702e-06,
                6.1441760661636525e-06,
                8.315278293951957e-07,
                2.9023119851055122e-06,
                1.2751899668482993e-07,
                4.22283545795623e-06
            ],
            [
                0.9999898700114362,
                0.9999832985841296,
                0.9998911031037886,
                0.9998766054105375,
                0.9999982396565767,
                0.9999485577925141,
                0.9999417087205882,
                0.9999251537370999,
                0.9999832985841296,
                0.9999546021259533
            ],
            [
                0.9999910603058279,
                0.9999852610197864,
                0.9999898700066057,
                0.9999485577986358,
                0.9999485577802874,
                0.999975699762166,
                0.9999869928668849,
                0.9999852610162717,
                0.9999417087275871,
                0.9999930377404306
            ],
            [
                9.422448185388577e-07,
                7.338211554758494e-07,
                1.7603436329714805e-06,
                5.71500651413193e-07,
                4.785094494576774e-06,
                2.9023116390421582e-06,
                4.222833444429485e-06,
                2.9023116390421582e-06,
                7.889262585211807e-06,
                1.1478764019787597e-05
            ],
            [
                1.209865827740176e-06,
                1.7603425837606927e-06,
                9.422448185478557e-07,
                1.3709568799823232e-06,
                9.42244256915735e-07,
                1.3709576971316842e-06,
                3.2887494572873306e-06,
                7.338211554758494e-07,
                2.5612812946890944e-06,
                1.5534971989907999e-06
            ],
            [
                0.999860177892614,
                0.9999957771670589,
                0.9999687980923697,
                0.9999485577740932,
                0.9998911030388833,
                0.9999485577986391,
                0.9996646498916617,
                0.9999251537370814,
                0.999959936307828,
                0.9999852610197881
            ],
            [
                0.9999832985841309,
                0.9999485577680053,
                0.9997694933138026,
                0.9999756997650714,
                0.999968798092358,
                0.9999687980886347,
                0.9999810748472489,
                0.999933947878971,
                0.9999810748449939,
                0.9999756997505913
            ],
            [
                6.1441767989541075e-06,
                2.260324567302214e-06,
                5.422218969532895e-06,
                2.2603237589542675e-06,
                1.9947292458930106e-06,
                6.962257079553702e-06,
                1.5534979397592542e-06,
                3.726637951170554e-06,
                7.889259764079887e-06,
                4.785092783319532e-06
            ],
            [
                0.9999151889890187,
                0.9998766054104549,
                0.9999546021151535,
                0.999978555054148,
                0.9986749775356479,
                0.9997694932299439,
                0.9997965730996001,
                0.9999546021259605,
                0.9997694932024783,
                0.9999785550439215
            ],
            [
                1.994729721469003e-06,
                1.3709572068272963e-06,
                5.422218969769604e-06,
                1.3709567165386693e-06,
                6.962254589433702e-06,
                1.7603432132784448e-06,
                3.7266410609940346e-06,
                1.5534975693707442e-06,
                8.315277302788957e-07,
                2.56128159999123e-06
            ],
            [
                0.9999970976887069,
                0.9999599363030465,
                0.9999974387184,
                0.9999957771650458,
                0.9999646437324665,
                0.9999646437577306,
                0.9999599363125974,
                0.9999038975393356,
                0.9999945777810304,
                0.9999921107402364
            ],
            [
                0.9999832985761657,
                0.9999756997505835,
                0.9996200154714738,
                0.9999599363030427,
                0.9999646437535097,
                0.9997694932575704,
                0.999876605410638,
                0.9999417087553203,
                0.9998601779426439,
                0.9999756997679619
            ],
            [
                0.9998911031298249,
                0.9997388096603245,
                0.9999599363125918,
                0.9997965730274053,
                0.9999599363173639,
                0.9998204719489601,
                0.9998601778597607,
                0.9999038975623424,
                0.9998911030779662,
                0.9999599363126013
            ],
            [
                5.422221555192784e-06,
                4.7850933535659155e-06,
                1.1478768125201194e-05,
                4.222832941034507e-06,
                4.222834451254188e-06,
                8.93969630333567e-06,
                4.222831934286977e-06,
                4.222832437497486e-06,
                4.222833947728508e-06,
                1.9947294837154625e-06
            ],
            [
                7.889260704631679e-06,
                1.670141786036971e-05,
                1.3007133115667397e-05,
                1.760344052693435e-06,
                1.012998977108606e-05,
                1.3709572068422585e-06,
                1.994730197071414e-06,
                6.962254589705982e-06,
                1.1478773598329648e-05,
                4.7850950648799385e-06
            ],
            [
                5.422221555069497e-06,
                1.0677026154730804e-06,
                2.9023109471689794e-06,
                2.260324028372372e-06,
                4.222833444506298e-06,
                1.994729008105057e-06,
                1.0677029973056687e-06,
                1.0677027427525368e-06,
                3.726639728224814e-06,
                2.260323489410794e-06
            ],
            [
                0.9999546021421996,
                0.9999599362887435,
                0.9999485577986492,
                0.9999599363173919,
                0.9999832985821404,
                0.9998911030390306,
                0.9999832985781617,
                0.9999832985761744,
                0.9999898700041916,
                0.9999756997592771
            ],
            [
                4.785094494576774e-06,
                1.4738978453315019e-05,
                3.726641061027928e-06,
                3.288750633488963e-06,
                2.9023123311055552e-06,
                6.962257079705671e-06,
                5.4222215552470286e-06,
                1.4738981970956057e-05,
                8.939698433974813e-06,
                1.0677031245783732e-06
            ],
            [
                8.315278294001114e-07,
                7.889264465555602e-06,
                3.288748673265808e-06,
                4.222832437747125e-06,
                7.889263525405172e-06,
                3.7266392840781026e-06,
                1.994730434847717e-06,
                6.1441731363550164e-06,
                2.9023112931213857e-06,
                1.3709573702647743e-06
            ],
            [
                1.147876538789672e-05,
                4.222831934321543e-06,
                8.93969630388855e-06,
                1.3709570434122812e-06,
                1.9947297214944016e-06,
                2.2603242978665707e-06,
                5.422218323399208e-06,
                1.1478765388898939e-05,
                6.144177531532303e-06,
                3.726637951079042e-06
            ],
            [
                0.9999945777797375,
                0.9998911031037632,
                0.9999546021421996,
                0.9995121427729379,
                0.9999724643187533,
                0.999820472076938,
                0.9999852610197877,
                0.9994472213276703,
                0.9999251537370575,
                0.9999852610127589
            ],
            [
                2.2603251062013478e-06,
                1.3007123811797321e-05,
                3.726639728184142e-06,
                2.5612812947380135e-06,
                6.962258739169842e-06,
                1.5534983101478522e-06,
                6.9622545892184106e-06,
                1.3007133112662637e-05,
                4.785096776303374e-06,
                4.78509392429544e-06
            ],
            [
                6.962257079553702e-06,
                7.889266347004826e-06,
                4.222834954607099e-06,
                1.3007133113703658e-05,
                1.1478766756444477e-05,
                6.144172404218801e-06,
                5.422218323093458e-06,
                6.144174601208867e-06,
                8.939700566289352e-06,
                1.9947299592824403e-06
            ],
            [
                1.370957860567974e-06,
                3.726639284050988e-06,
                2.2603234895053587e-06,
                2.5612816000646084e-06,
                1.3709570433885908e-06,
                5.04347468318358e-07,
                3.288749849498565e-06,
                8.315278294072958e-07,
                2.9023130230846496e-06,
                1.7603434230921292e-06
            ],
            [
                0.999964643736649,
                0.9997965730756625,
                0.999993037742092,
                0.9999687980923503,
                0.9999546021476033,
                0.9999251537638378,
                0.9998911030649734,
                0.9999339478238556,
                0.9998911030520788,
                0.9998415637267211
            ],
            [
                0.9999785550439207,
                0.9999724642957742,
                0.9999724643154813,
                0.9999980052707541,
                0.9999687980774756,
                0.9999151889385092,
                0.999968798081189,
                0.9998415637080582,
                0.9999151889486434,
                0.9999687980849222
            ],
            [
                0.999992110739296,
                0.9999869928746368,
                0.9999957771670589,
                0.9999810748472538,
                0.999964643736649,
                0.9999945777816769,
                0.9999957771655488,
                0.9999910603026312,
                0.999995214903224,
                0.9999930377412609
            ],
            [
                0.9999957771680659,
                0.9999546021476081,
                0.9999785550566999,
                0.9999417087136441,
                0.9999938558246662,
                0.9998766053664871,
                0.9999485577618361,
                0.9995121427651894,
                0.9999938558239334,
                0.999954602120557
            ],
            [
                0.9999251537461169,
                0.9999921107364753,
                0.9999251537460401,
                0.9999921107355333,
                0.9999485577925108,
                0.9999810748449924,
                0.9999485578048097,
                0.9999898700053991,
                0.99999844650169,
                0.9999687980960733
            ],
            [
                0.9999869928715357,
                0.9999957771665556,
                0.9999930377445806,
                0.9999785550439259,
                0.9999724643154813,
                0.9999832985761665,
                0.9999938558275955,
                0.999978555056705,
                0.9999599363221565,
                0.9999832985741748
            ],
            [
                1.5534979397740895e-06,
                4.785093924251918e-06,
                1.9947301970451086e-06,
                6.9622595694023114e-06,
                5.422217676866151e-06,
                1.3709568799760888e-06,
                1.3709573702566696e-06,
                1.994729721436347e-06,
                3.2887494574518405e-06,
                1.3709573702778664e-06
            ],
            [
                3.2887478891487563e-06,
                5.043476486833397e-07,
                1.0677027427525368e-06,
                7.338212429562581e-07,
                5.04347408197782e-07,
                3.2887482811579057e-06,
                5.4222215550004564e-06,
                2.561283431986506e-06,
                1.3709578605455302e-06,
                1.3709567165530083e-06
            ],
            [
                1.3709576971242028e-06,
                1.9947299591100915e-06,
                2.5612825160271407e-06,
                7.88926164518358e-06,
                6.962258739454786e-06,
                8.315281267834927e-07,
                4.222834954687752e-06,
                4.22283545795623e-06,
                1.0677027427525368e-06,
                6.144177530291754e-06
            ],
            [
                1.0129992186589747e-05,
                5.422217676925328e-06,
                4.785093353787868e-06,
                1.30071253611406e-05,
                5.422217676979575e-06,
                1.3007130014636887e-05,
                7.88926634687567e-06,
                3.726639284050988e-06,
                8.939695237813028e-06,
                4.222832437639588e-06
            ],
            [
                0.9998204719485422,
                0.9999869928715381,
                0.9999646437492984,
                0.9999957771670589,
                0.9999546021313669,
                0.9999251537638443,
                0.9999810748517598,
                0.9999921107392955,
                0.999915188968843,
                0.9998415637077862
            ],
            [
                2.561282516042282e-06,
                1.7603440526806268e-06,
                2.5612831266608576e-06,
                3.726641061058432e-06,
                1.0129995809929273e-05,
                4.222834451327159e-06,
                4.2228324377164004e-06,
                8.939697369004791e-06,
                3.7266388396128453e-06,
                2.902311984952413e-06
            ],
            [
                3.2887482812745586e-06,
                4.222835458044565e-06,
                5.422218323231539e-06,
                3.535623806128476e-05,
                4.222834451215781e-06,
                1.1478773597390071e-05,
                6.144177531459659e-06,
                2.902311639126627e-06,
                6.1441775312976045e-06,
                4.785092783415276e-06
            ],
            [
                4.222834954687752e-06,
                8.939697368663308e-06,
                2.4300252317086683e-05,
                5.422217030614265e-06,
                1.1478764019557924e-05,
                2.4300246521474893e-05,
                2.260324028404236e-06,
                1.1478773598329648e-05,
                3.7266392840781026e-06,
                8.93969310647542e-06
            ],
            [
                0.9999952149072169,
                0.9999724642957772,
                0.9991959142501733,
                0.9986749775339535,
                0.9980732649153505,
                0.9996200155610399,
                0.9998415638399517,
                0.9998766054398994,
                0.9990889487704724,
                0.9999646437535129
            ],
            [
                0.9999687980960814,
                0.9999417087136563,
                0.9999417087414205,
                0.9999993524050473,
                0.9999832985761657,
                0.9999687980737616,
                0.9999485577925108,
                0.9999938558268631,
                0.9999810748585282,
                0.9999546021422047
            ],
            [
                5.144220748250827e-05,
                1.1478768123551712e-05,
                1.012998977108606e-05,
                1.994730434816876e-06,
                2.4300240731964193e-05,
                5.422217676575195e-06,
                1.6701427813872793e-05,
                3.2887498493983645e-06,
                1.3007126909159127e-05,
                1.6701425822059825e-05
            ],
            [
                1.76034363298589e-06,
                3.288747889178668e-06,
                2.2603248367512505e-06,
                3.288749849368453e-06,
                1.209865827740176e-06,
                1.4738980211116665e-05,
                8.939695237813028e-06,
                3.726638839806038e-06,
                7.88925976283858e-06,
                3.7266410609160796e-06
            ],
            [
                0.9998204719916036,
                0.999195914054316,
                0.9995694429111727,
                0.9770226323479997,
                0.9999852610127589,
                0.9999417087136958,
                0.9988304897700298,
                0.9999898700114408,
                0.9999599363173919,
                0.9999546021097317
            ],
            [
                1.9947299592824403e-06,
                1.0677027427413698e-06,
                1.147876538716594e-05,
                5.715003107715166e-07,
                4.450849458179853e-07,
                2.2603237589542675e-06,
                1.76034363298589e-06,
                4.785095635296322e-06,
                1.7603436330091044e-06,
                1.7603438428660665e-06
            ],
            [
                0.9997965729545062,
                0.9999339478554106,
                0.999738809721874,
                0.999985261014518,
                0.9999251537816681,
                0.9999810748540204,
                0.9997694933402955,
                0.999954602147594,
                0.999954602125951,
                0.9999339478553996
            ],
            [
                0.99994170874838,
                0.9999339478789758,
                0.9999339478317487,
                0.9999417087136322,
                0.9999251537460276,
                0.9999785550541467,
                0.999948557780219,
                0.9998601779594093,
                0.9999339478395871,
                0.9998911030908497
            ],
            [
                7.338208930421943e-07,
                1.2098659719601033e-06,
                1.9947301970587145e-06,
                9.422442569290178e-07,
                1.2098655392871682e-06,
                2.699576809121209e-07,
                6.475945666009864e-07,
                7.338210679909462e-07,
                1.5534981249574276e-06,
                8.315283250305684e-07
            ],
            [
                0.9999417087483918,
                0.9999417087205921,
                0.999820471991165,
                0.9999417087344882,
                0.9998601778592866,
                0.9999885212318759,
                0.9993736658982914,
                0.9998911030648404,
                0.9995694429625396,
                0.9994472212584338
            ],
            [
                0.9999417087414357,
                0.9999832985742141,
                0.9986749775313346,
                0.999941708713636,
                0.9997694932029144,
                0.7057850340255386,
                0.9999599362934974,
                0.9995121428251914,
                0.9999417087275205,
                0.9996646497703273
            ],
            [
                2.2603251062013478e-06,
                2.902312331081799e-06,
                1.1478768124783601e-05,
                2.9023130230846496e-06,
                4.222834954687752e-06,
                2.9023133690637e-06,
                1.5534979397500702e-06,
                1.4738981971813965e-05,
                7.88926352599354e-06,
                1.3709568799879344e-06
            ],
            [
                0.9999756997505934,
                0.9999832985841314,
                0.9997694933405168,
                0.9998204719919982,
                0.9999921107364742,
                0.9998415637266403,
                0.9999852610180298,
                0.9997965730513342,
                0.9995121429424423,
                0.9998766054548786
            ],
            [
                1.3709575336947905e-06,
                5.043475885674441e-07,
                2.2603234894560207e-06,
                2.902312677104321e-06,
                7.889261644982674e-06,
                1.2098653950656417e-06,
                8.31528424162821e-07,
                3.7266379512857925e-06,
                5.422219615967477e-06,
                5.043475885657239e-07
            ],
            [
                0.9999938558268632,
                0.9999756997650643,
                0.999925153781686,
                0.9998766054545734,
                0.9999810748472503,
                0.9999832985741748,
                0.9999810748472494,
                0.9999599362934974,
                0.9999810748427379,
                0.9999967112521108
            ],
            [
                9.422444815563743e-07,
                3.726640172503764e-06,
                4.785095065045315e-06,
                6.9622537593854575e-06,
                3.288748673265808e-06,
                3.72664017246987e-06,
                0.9999251537727715,
                4.222834451169694e-06,
                4.222832941111319e-06,
                1.5534975693792215e-06
            ],
            [
                0.9998911031167418,
                0.9988304899241062,
                0.9991959140711051,
                0.9999251537905948,
                0.9998415637647842,
                0.999876605396149,
                0.9998415637833618,
                0.9964063977320489,
                0.9999339478553375,
                0.999569442965746
            ],
            [
                1.2098659719716573e-06,
                1.5534973841895917e-06,
                1.8925152749659986e-05,
                7.338213304283347e-07,
                5.715007195384861e-07,
                1.994729721469003e-06,
                5.715004470313855e-07,
                1.5534971989992774e-06,
                4.222833444168322e-06,
                1.3709570434054234e-06
            ],
            [
                1.3007133114318805e-05,
                9.422444815628016e-07,
                1.0677027426952437e-06,
                5.422218969661113e-06,
                1.1478765387667046e-05,
                8.93969736942758e-06,
                6.962253759043525e-06,
                4.7850956342431385e-06,
                1.4738987241494252e-05,
                1.147876675466972e-05
            ],
            [
                6.144177531381426e-06,
                7.889264466115267e-06,
                3.7266392840781026e-06,
                1.8925141472360678e-05,
                7.88926258532661e-06,
                4.22283394786293e-06,
                2.561282210701601e-06,
                2.5612822107167428e-06,
                1.9947299592933255e-06,
                1.0129993394811673e-05
            ],
            [
                1.0677033791495609e-06,
                2.260323758939877e-06,
                1.2098659719601033e-06,
                1.0677024881887838e-06,
                2.561282515886208e-06,
                1.2098655392574583e-06,
                8.315278294001114e-07,
                2.260324567227179e-06,
                6.475947209985977e-07,
                2.5612828213352452e-06
            ],
            [
                3.12019225291377e-05,
                2.144495608046625e-05,
                0.9997040427629802,
                1.300712691308661e-05,
                1.012999580884213e-05,
                3.535624228030111e-05,
                3.2887502414436403e-06,
                1.0129987357020188e-05,
                7.889261645090304e-06,
                2.902311985079115e-06
            ],
            [
                2.260324297853209e-06,
                1.9947290081286418e-06,
                2.9023133690425823e-06,
                4.450849458218309e-07,
                4.785092783319532e-06,
                2.2603251062013478e-06,
                1.670142980608093e-05,
                2.9023116391675407e-06,
                5.422217676925328e-06,
                6.962259569003389e-06
            ],
            [
                1.994730197071414e-06,
                2.260324028372372e-06,
                8.939693106329072e-06,
                2.260325375650449e-06,
                2.2603248367656408e-06,
                3.2887486732358968e-06,
                5.422217676866151e-06,
                2.902311293147782e-06,
                4.22283545808297e-06,
                6.1441746017453204e-06
            ],
            [
                0.9999251537817438,
                0.9999687980923553,
                0.9999687980849168,
                0.9999687980737564,
                0.9998766053958474,
                0.9999756997650652,
                0.9999724643121878,
                0.9999898700126433,
                0.9999599363221545,
                0.9999832985781587
            ],
            [
                0.9999957771660526,
                0.9999832985741745,
                0.9999898700126444,
                0.9999810748449939,
                0.9999952149043646,
                0.9999038975851828,
                0.999986992873088,
                0.999975699762166,
                0.9999898700114378,
                0.9999687980849142
            ],
            [
                0.9999785550541467,
                0.999995777165549,
                0.9999724643154654,
                0.9999485577679497,
                0.9999832985701939,
                0.9999687980960685,
                0.9999646437577226,
                0.999769493285311,
                0.999986992874641,
                0.999954602147616
            ],
            [
                0.9996646498511325,
                0.9999251537996128,
                0.999948557780244,
                0.999941708741432,
                0.9999151889283604,
                0.999738809753405,
                0.9997965730995557,
                0.9996646499708667,
                0.9999339478238459,
                0.9999339478711793
            ],
            [
                1.7603434231241496e-06,
                8.939700566435704e-06,
                1.0677028700130727e-06,
                2.9023116390421582e-06,
                1.7603430034439723e-06,
                1.994729721469003e-06,
                1.5534975693869924e-06,
                1.3709573702722555e-06,
                6.144172404520556e-06,
                3.288750241410738e-06
            ],
            [
                9.422449308673789e-07,
                2.902312677060767e-06,
                1.0677031245783732e-06,
                8.315277302788957e-07,
                9.422443692446175e-07,
                3.7266406167827664e-06,
                8.315279285088606e-07,
                1.209865250822125e-06,
                4.222834954607099e-06,
                1.7603434231705793e-06
            ],
            [
                0.9999832985701952,
                0.9998911030518237,
                0.9999832985721862,
                0.9999687980774782,
                0.9997965730996001,
                0.9997965730758843,
                0.999769493312555,
                0.9998911030777318,
                0.9999852610127629,
                0.999860177926084
            ],
            [
                2.260325375664839e-06,
                3.288747889178668e-06,
                2.9023109471452223e-06,
                2.5612819053399912e-06,
                1.0677026154774503e-06,
                1.2098662604126641e-06,
                8.315282259051341e-07,
                2.9023116391675407e-06,
                9.422445939002803e-07,
                1.0677029973114952e-06
            ],
            [
                0.9999339478632154,
                0.9982992777213878,
                0.9999885212332451,
                0.9997040430082713,
                0.9999485577618268,
                0.9991959141484099,
                0.99979657295416,
                0.9995694429626398,
                0.9998766054106218,
                0.9999339478711289
            ],
            [
                2.9023112930949896e-06,
                9.422444815679433e-07,
                8.939700566289352e-06,
                3.7266388397721442e-06,
                3.4663278639738526e-07,
                2.2603248367512505e-06,
                1.0129990979842057e-05,
                6.1441724044534996e-06,
                1.9947301970587145e-06,
                4.222831934352267e-06
            ],
            [
                0.9999251537460211,
                0.9999810748585316,
                0.999972464315471,
                0.9999599362935033,
                0.999915188948618,
                0.999975699762166,
                0.9998204720770398,
                0.9999599362935263,
                0.9999485577924913,
                0.9999151889385525
            ],
            [
                6.962259569313662e-06,
                1.7603440527046419e-06,
                2.902312677060767e-06,
                4.2228324375512536e-06,
                4.785093353739995e-06,
                6.144176065940129e-06,
                1.8925155003330605e-05,
                4.7850933535006355e-06,
                4.785096776194573e-06,
                1.0129990979031306e-05
            ],
            [
                0.9999832985841305,
                0.9999546021367783,
                0.9999852610145155,
                0.9999485577925624,
                0.9999724643121931,
                0.9999546021368159,
                0.9999756997679619,
                0.9999646437366552,
                0.9999599363173789,
                0.9999832985781574
            ],
            [
                0.9998415637267211,
                0.9999852610215433,
                0.9999599363221466,
                0.9999646437535082,
                0.9999546021421969,
                0.9999339478317142,
                0.9999852610145165,
                0.9995694430137312,
                0.9999945777829697,
                0.9999832985801475
            ],
            [
                0.999978555051593,
                0.9999546021368017,
                0.9998415637832834,
                0.9999485577802343,
                0.9999599363221524,
                0.9999339478553573,
                0.9999785550413672,
                0.9999687980997979,
                0.999948557774106,
                0.999915188968851
            ],
            [
                0.9999599363173874,
                0.9999417087205921,
                0.9999151889283524,
                0.9999485577679679,
                0.999975699762166,
                0.999985261019786,
                0.9999852610233012,
                0.9999852610197855,
                0.9999756997650636,
                0.9998766054105196
            ],
            [
                0.9999339478632202,
                0.9999485577863536,
                0.9999417087205654,
                0.9999485577618328,
                0.9997965729784409,
                0.9999546021205493,
                0.9997388096908902,
                0.9999869928746389,
                0.9999038976079961,
                0.9997040427951766
            ],
            [
                0.9999546021367883,
                0.9999687980923553,
                0.9982992773284528,
                0.9999599363030465,
                0.9998204719696734,
                0.9999038976194807,
                0.9999646437408728,
                0.9997040428661479,
                0.9999832985821384,
                0.9990889490049171
            ],
            [
                4.222833444429485e-06,
                6.144175334239434e-06,
                8.939700566435704e-06,
                5.422221555192784e-06,
                4.78509563535725e-06,
                1.3007128463352975e-05,
                7.88925976397226e-06,
                4.785092783149804e-06,
                7.889263525405172e-06,
                6.14417313680765e-06
            ],
            [
                2.561283432005142e-06,
                6.1441731363550164e-06,
                1.99472924590571e-06,
                4.22283394786293e-06,
                4.785096776433933e-06,
                3.726641061058432e-06,
                7.889266347004826e-06,
                8.939697369671496e-06,
                1.4738980214280206e-05,
                1.0129987356191011e-05
            ],
            [
                0.9999687980849195,
                0.9999485577679644,
                0.9999810748585336,
                0.9999151889384686,
                0.9999599362934953,
                0.9999485578047577,
                0.9999599363078259,
                0.999978555054148,
                0.9999151889283764,
                0.9999785550515911
            ],
            [
                5.043472879525233e-07,
                1.5534984953199313e-06,
                1.3709570434178922e-06,
                1.5534977545603963e-06,
                4.222834954514924e-06,
                3.288750633488963e-06,
                3.7266392839425286e-06,
                7.338212429537553e-07,
                6.9622537593854575e-06,
                4.785095635296322e-06
            ],
            [
                3.72664061671159e-06,
                2.9023126771227976e-06,
                2.260325375650449e-06,
                3.726639284017094e-06,
                1.3709575337016483e-06,
                1.7603436329978976e-06,
                1.5534979397677313e-06,
                1.3709576971379186e-06,
                4.222834954607099e-06,
                1.7603430034743913e-06
            ],
            [
                1.5534975693792215e-06,
                1.0677033791495609e-06,
                6.475946437996402e-07,
                7.338213304343413e-07,
                1.2098659719441482e-06,
                1.2098661161861e-06,
                1.3709575336947905e-06,
                1.0677027427413698e-06,
                7.338212429420757e-07,
                1.994729483694599e-06
            ],
            [
                4.2228349546493465e-06,
                6.475951069985296e-07,
                3.726639728184142e-06,
                1.5534973841895917e-06,
                1.7603432133032607e-06,
                6.1441746017453204e-06,
                2.9023116391675407e-06,
                2.2603242978665707e-06,
                1.067702615468225e-06,
                1.3007123812317831e-05
            ],
            [
                0.9999687980886414,
                0.999704042901401,
                0.9997040427963476,
                0.9986749775245566,
                0.9998415638399517,
                0.9999599362952204,
                0.9997388095979464,
                0.9998204720778312,
                0.998498817893855,
                0.9997965730515561
            ],
            [
                6.962253759486771e-06,
                1.4738981971250963e-05,
                5.422220262195015e-06,
                1.147876949310201e-05,
                1.0129995809929273e-05,
                7.889265407004852e-06,
                0.9996646500126838,
                6.1441746017453204e-06,
                0.9998601779428534,
                8.939700565996655e-06
            ]
        ]
    },
    {
        "q_id": "10716_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            26,
            27,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999852610162749,
                0.9999957771655487,
                0.9999910603015664,
                0.9999921107336527,
                0.9999970976866311,
                0.9999957771665557,
                0.9999810748495125,
                0.9999977396762411,
                0.9999930377454112,
                0.9999970976873229
            ],
            [
                0.999860177959267,
                0.9999646437492907,
                0.9998204719699032,
                0.9997694933675396,
                0.9999869928761874,
                0.999985261021543,
                0.9999869928746372,
                0.9999417087136283,
                0.9999756997534747,
                0.9999852610110012
            ],
            [
                2.2603251062013478e-06,
                2.144494074076854e-05,
                8.315282259051341e-07,
                3.2887506334560605e-06,
                1.209865971934245e-06,
                1.4738988998117324e-05,
                7.338208930355202e-07,
                8.93969736929749e-06,
                9.422448185435711e-07,
                2.430024072648329e-05
            ],
            [
                6.144172404520556e-06,
                7.338208930421943e-07,
                4.222832437639588e-06,
                2.902313023101807e-06,
                2.561281600076256e-06,
                1.8925141472773765e-05,
                1.0677026154774503e-06,
                3.726639284017094e-06,
                3.288750633488963e-06,
                2.561283432005142e-06
            ],
            [
                0.9999869928746369,
                0.9999646437324344,
                0.9999869928699852,
                0.9999852610110004,
                0.9998204720766403,
                0.9999930377437508,
                0.9993736658225802,
                0.9999898700126428,
                0.9999885212318742,
                0.9999930377437503
            ],
            [
                3.927861534406222e-07,
                2.1024344128660572e-07,
                3.059021175247079e-07,
                9.422443692446175e-07,
                6.475945666009864e-07,
                5.715005151446993e-07,
                3.0590237279032884e-07,
                5.715005832872586e-07,
                1.7603430034655858e-06,
                3.9278638755992735e-07
            ],
            [
                0.9999930377454102,
                0.999985261021543,
                0.9999930377437504,
                0.9999885212277695,
                0.999989870006606,
                0.9999967112517186,
                0.9999930377445801,
                0.9999977396746244,
                0.9999910603036963,
                0.9999898700102277
            ],
            [
                0.9999952149066461,
                0.9999756997592674,
                0.9999984465015048,
                0.9999962733616046,
                0.9999339478710788,
                0.99995460213136,
                0.9999910602994336,
                0.999992110736474,
                0.9999938558224685,
                0.9999990577551815
            ],
            [
                0.9999987901347491,
                0.9999921107364739,
                0.9999996072137061,
                0.9999945777829693,
                0.99999893229713,
                0.9998911030907103,
                0.9999984465018751,
                0.9999991684719723,
                0.9999938558268628,
                0.9999945777816767
            ],
            [
                0.999876605410392,
                0.9998204720124919,
                0.9991959142463385,
                0.9995694428586909,
                0.9998766053958816,
                0.9999151889283061,
                0.9996200154243915,
                0.9991959140479558,
                0.9996646497698786,
                0.9984988177022559
            ],
            [
                0.9999945777823229,
                0.9999485577618096,
                0.9995694429095193,
                0.9999038975391754,
                0.9998415637075303,
                0.9999251537816561,
                0.9997388096593592,
                0.9995121427645933,
                0.9999646437535026,
                0.9999339478710602
            ],
            [
                0.9999982396563669,
                0.9999987901341723,
                0.9999977396765104,
                0.9999986290432834,
                0.9999987901344607,
                0.9999980052695652,
                0.9999970976890528,
                0.9999967112505425,
                0.9999921107402375,
                0.9999938558224684
            ],
            [
                0.9999938558224688,
                0.9999885212359796,
                0.9999724643154765,
                0.9999980052695652,
                0.9999967112493664,
                0.9999977396759716,
                0.9999982396559473,
                0.9999945777829693,
                0.9999785550439251,
                0.9999957771680656
            ],
            [
                5.144221357715497e-05,
                1.147876812538911e-05,
                6.962257079465052e-06,
                2.2603251062013478e-06,
                2.1444945853375776e-05,
                1.892515500663531e-05,
                1.6701425826191394e-05,
                3.288750633488963e-06,
                1.3007125362323574e-05,
                7.484625397893652e-05
            ],
            [
                1.8553907971758842e-07,
                3.059023363207381e-07,
                1.8553910183548312e-07,
                6.475948753991907e-07,
                1.5534977545497995e-06,
                1.760344052693435e-06,
                7.338208055613267e-07,
                7.338213304343413e-07,
                3.9278634073098236e-07,
                3.466327863945479e-07
            ],
            [
                0.9999724643089025,
                0.999999266178932,
                0.9999785550439172,
                0.9999989322968753,
                0.9999994284993488,
                0.9999938558232008,
                0.9999989322972572,
                0.9999977396746245,
                0.9999980052705163,
                0.9999970976876689
            ],
            [
                1.0129987356706945e-05,
                1.3007133115903994e-05,
                0.9999869928715353,
                3.7266379512857925e-06,
                4.222832941072913e-06,
                9.422448185435711e-07,
                6.144176066051891e-06,
                5.422221555296344e-06,
                1.4738988999377379e-05,
                4.5397857795336036e-05
            ],
            [
                0.9999984465024306,
                0.9999910603068931,
                0.9999852610197855,
                0.9999869928761873,
                0.9999974387184,
                0.9999921107383549,
                0.999925153745984,
                0.9999945777823229,
                0.9999987901343165,
                0.9999832985701952
            ],
            [
                2.3823688159069855e-07,
                2.6995774527657245e-07,
                6.475946437966953e-07,
                3.9278634073312583e-07,
                2.3823688159237777e-07,
                3.466327863961242e-07,
                3.0590233632400716e-07,
                3.059021904580685e-07,
                2.3823702359290413e-07,
                3.9278615343901467e-07
            ],
            [
                0.9999997617629764,
                0.9999991684716749,
                0.9999994284993486,
                0.9999999006880549,
                0.9999986290421394,
                0.9999993524054334,
                0.9999993524052018,
                0.9999997300421581,
                0.9999970976883609,
                0.9999993524053562
            ],
            [
                0.9997965730749432,
                5.422218323487975e-06,
                1.0129990979842057e-05,
                6.144173869379821e-06,
                1.892514824021969e-05,
                4.5397852399094525e-05,
                5.422217677028889e-06,
                NaN,
                2.9023116391675407e-06,
                7.889265407255982e-06
            ],
            [
                0.9999910603004991,
                0.999948557798623,
                0.9999646437408649,
                0.9999038975965122,
                0.9999957771650453,
                0.9999599362934862,
                0.9999921107374142,
                0.9999967112517186,
                0.9999599362934879,
                0.9999921107392953
            ],
            [
                2.1444950968441685e-05,
                1.012998735687278e-05,
                4.0063711285810896e-05,
                2.1444943298944354e-05,
                6.144173136729416e-06,
                1.6701415871049018e-05,
                6.144172404380855e-06,
                7.889262585642319e-06,
                1.0129987357020188e-05,
                2.430023783601594e-05
            ],
            [
                0.9999962733602715,
                0.9999977396757022,
                0.9999990577554061,
                0.999999266178932,
                0.9999977396748938,
                0.9999967112509346,
                0.999998239656367,
                0.9999977396751633,
                0.9999980052709918,
                0.9999962733598274
            ],
            [
                0.9999885212277696,
                0.9999885212346115,
                0.9999938558268632,
                0.9999546021097193,
                0.9999724643187513,
                0.9999151889384222,
                0.9999957771675622,
                0.9999957771665554,
                0.9999485577679497,
                0.9999930377412604
            ],
            [
                0.9999952149049348,
                0.9999756997650606,
                0.9999989322971299,
                0.999978555041362,
                0.9999810748562713,
                0.9999930377412606,
                0.9999967112509346,
                0.9999970976880148,
                0.9999970976880149,
                0.9999921107355334
            ],
            [
                1.8553919030776337e-07,
                1.0129990978644356e-05,
                4.4508526417014975e-07,
                1.4449803818156628e-07,
                1.7603432133136672e-06,
                7.889260704423598e-06,
                4.450851049959619e-07,
                2.699578739999358e-07,
                5.043472879337165e-07,
                1.5534971989568904e-06
            ],
            [
                3.4663253846473677e-07,
                5.715007195410849e-07,
                2.3823702359138736e-07,
                1.9947306726213275e-06,
                1.994729483680993e-06,
                2.3823702358900394e-07,
                3.466327037512053e-07,
                3.0590229985296015e-07,
                4.4508526417014975e-07,
                6.1441746017453204e-06
            ],
            [
                0.9999989322972572,
                0.9999993524049702,
                0.9999952149072165,
                0.9999994284996893,
                0.9999990577551815,
                0.9999984465020603,
                0.9999957771665555,
                0.9999982396574162,
                0.9999869928653338,
                0.9999974387165679
            ],
            [
                0.999975699762166,
                0.9999785550464765,
                0.9999967112521109,
                0.9999885212277695,
                0.9999952149055054,
                0.9999885212359809,
                0.9999980052700407,
                0.9999885212277696,
                0.9999724643023389,
                0.9999921107355333
            ],
            [
                0.999998790134605,
                0.9999852610180284,
                0.9999993524049703,
                0.9999967112509347,
                0.9999967112497586,
                0.9999980052709919,
                0.9999992661792819,
                0.9999930377462403,
                0.9999984465024306,
                0.9999990577551815
            ],
            [
                0.9999970976876689,
                0.999995214904935,
                0.9999945777829694,
                0.9998204720984661,
                0.9999930377420904,
                0.9999885212332426,
                0.9999962733593831,
                0.999968798081189,
                0.9999810748449929,
                0.9999962733593831
            ],
            [
                0.9999962733593831,
                0.9999980052702785,
                0.9999967112497585,
                0.9999952149032235,
                0.9999991684719723,
                0.9999930377420905,
                0.999997438717484,
                0.9999977396746244,
                0.9999952149043645,
                0.999988521233243
            ],
            [
                0.00010889696116743783,
                1.0129989771823107e-05,
                1.4738988999377379e-05,
                1.0129990979031306e-05,
                1.0129987357158383e-05,
                1.8925141473186853e-05,
                3.535623804803683e-05,
                6.605216041280767e-05,
                7.889265406904397e-06,
                2.5612834320214477e-06
            ],
            [
                0.9986749775425802,
                0.9999724643089016,
                0.9997965730992656,
                0.9999646437535082,
                0.9999599363078145,
                0.9998601779258804,
                0.9993736658266609,
                0.9996646498131788,
                0.9996200154248226,
                0.9997694931749056
            ],
            [
                0.9999986290429567,
                0.9999982396572065,
                0.9999977396765104,
                0.9999974387184,
                0.9999984465022455,
                0.9999810748495034,
                0.9999910603004989,
                0.999993855825398,
                0.9999970976869769,
                0.9999962733607161
            ],
            [
                1.0677028700203557e-06,
                1.5534979396815448e-06,
                2.699578418198104e-07,
                5.715007195431641e-07,
                2.382369667914917e-07,
                1.5534975692471157e-06,
                1.0677031245783732e-06,
                9.4224425692559e-07,
                1.5534981248881956e-06,
                1.3709572068422585e-06
            ],
            [
                0.9999724643121868,
                0.999941708734458,
                0.9999921107336539,
                0.9999869928761871,
                0.9999339478553626,
                0.9999938558261331,
                0.9996646498093834,
                0.9999852610215446,
                0.9999724643023361,
                0.9999832985841289
            ],
            [
                3.46632497145457e-07,
                3.4663249714451116e-07,
                5.715002426439334e-07,
                7.338213304316717e-07,
                4.450848927621807e-07,
                5.043472278299047e-07,
                8.315284241560147e-07,
                6.47594952595231e-07,
                6.475946437996402e-07,
                6.475948753991907e-07
            ],
            [
                3.120192624733229e-05,
                1.6701425825128124e-05,
                8.93969630388855e-06,
                1.6701415868193372e-05,
                1.1478768124324254e-05,
                3.535625071602016e-05,
                4.785096776251149e-06,
                2.4300243627117176e-05,
                2.144494330062167e-05,
                9.610238061859297e-05
            ],
            [
                0.9999977396751633,
                0.9999930377420903,
                0.9999967112493664,
                0.9999980052709919,
                0.9999938558268632,
                0.9999885212332428,
                0.9999930377420904,
                0.9999974387177893,
                0.9999938558261308,
                0.999998446502801
            ],
            [
                0.9999990577556307,
                0.9999996072137998,
                0.9999984465018751,
                0.9999995549150011,
                0.9999938558253982,
                0.9999977396746244,
                0.9999982396574162,
                0.9999994956527121,
                0.9999992661790195,
                0.9999977396754327
            ],
            [
                0.9999991684717741,
                0.9999996072137998,
                0.999997438717484,
                0.9999967112501505,
                0.999999168471675,
                0.9999957771665554,
                0.9999938558253981,
                0.9999970976876689,
                0.9999990577550691,
                0.9999990577551815
            ],
            [
                0.9999967112513267,
                0.9999957771650453,
                0.999999168471675,
                0.9999952149043646,
                0.9999930377437504,
                0.9999756997505828,
                0.999997097688707,
                0.9999952149055054,
                0.9999852610180304,
                0.9999982396569966
            ],
            [
                0.9999997897567091,
                0.9999962733611601,
                0.99999893229713,
                0.9999996533674202,
                0.9999910603068931,
                0.9999974387171787,
                0.9999945777784448,
                0.9999962733616043,
                0.9999970976883609,
                0.9999974387184
            ],
            [
                3.059021904543821e-07,
                5.715005832798517e-07,
                5.715003788993679e-07,
                7.338213304196583e-07,
                1.994729721396435e-06,
                2.2603242977308917e-06,
                6.475947981625199e-07,
                5.04347408197782e-07,
                5.043472879481655e-07,
                3.9278615342936924e-07
            ],
            [
                0.9999869928746369,
                0.999915188978879,
                0.99997569974768,
                0.9999687980886264,
                0.999998446502801,
                0.999995777166052,
                0.9996200154250436,
                0.9999852610215422,
                0.9999599362934897,
                0.999998629042303
            ],
            [
                5.715005832827105e-07,
                2.3823696679230424e-07,
                3.4663257978638593e-07,
                1.2751904288739315e-07,
                5.715004470272272e-07,
                1.637377643243723e-07,
                4.4508489275752546e-07,
                5.715005832872586e-07,
                5.04347468318358e-07,
                5.715005151574337e-07
            ],
            [
                0.9999980052705163,
                0.9999980052702785,
                0.9999962733611601,
                0.999997438717484,
                0.9999970976887068,
                0.9999785550413712,
                0.9999977396765105,
                0.9999957771665554,
                0.9999970976883608,
                0.9999996940978095
            ],
            [
                6.475947209953583e-07,
                2.1024331597152624e-07,
                7.338211554725124e-07,
                9.422444815628016e-07,
                5.715003107619008e-07,
                8.315283250343497e-07,
                9.422443692527585e-07,
                5.043475284430694e-07,
                1.3709576971160984e-06,
                7.338208930443633e-07
            ],
            [
                0.9999151889384377,
                0.9999986290431201,
                0.9999930377404304,
                0.9999974387184,
                0.9999938558239332,
                0.9999945777829693,
                0.9999986290427931,
                0.9999980052709919,
                0.9999885212332428,
                0.9999980052707541
            ],
            [
                0.9999994284992805,
                0.9999984465016898,
                0.9999898700078128,
                0.9999898700114352,
                0.9999987901344607,
                0.9999987901347491,
                0.999997097686977,
                0.9999991684719723,
                0.9999989322975118,
                0.9999990577556307
            ],
            [
                2.4300246524568948e-05,
                6.96225873967641e-06,
                1.300713311614059e-05,
                6.9622595694023114e-06,
                2.430023783530873e-05,
                8.939697369671496e-06,
                4.785093353787868e-06,
                2.9023119851635836e-06,
                7.484623617964428e-05,
                2.7535700945316292e-05
            ],
            [
                0.9997965729297902,
                0.9999952149049349,
                0.9999417087136139,
                0.9999724643023379,
                0.9999930377454102,
                0.9999898700126431,
                0.9998911030777318,
                0.9999885212277698,
                0.9999852610215422,
                0.9999546021313555
            ],
            [
                0.9999945777823229,
                0.9999970976890528,
                0.9999339478395871,
                0.9999810748517589,
                0.9999957771665555,
                0.9999852610145168,
                0.9999832985761644,
                0.9999599363078145,
                0.9999724643187504,
                0.99997569975637
            ],
            [
                0.9999869928668841,
                0.9999687980774743,
                0.9999885212264013,
                0.9996200155145655,
                0.9999898700102282,
                0.9999986290424664,
                0.9999962733620487,
                0.9999910603068931,
                0.9999785550413615,
                0.999998239656367
            ],
            [
                0.9999982396565767,
                0.9999921107374157,
                0.999981074842736,
                0.9999810748517612,
                0.9999957771650453,
                0.99999303774624,
                0.999933947879035,
                0.999972464312183,
                0.9999151889586393,
                0.9999910603015644
            ],
            [
                0.9999756997476821,
                0.9999962733616046,
                0.9999852610197852,
                0.9999930377420904,
                0.9999967112493664,
                0.9999930377437504,
                0.9999038975850886,
                0.999988521229138,
                0.9997388097529946,
                0.9999885212305059
            ],
            [
                6.475947981975644e-07,
                1.0677033791495609e-06,
                2.2603237589542675e-06,
                3.927862002625787e-07,
                4.450849988733914e-07,
                6.475950297768503e-07,
                3.927861066170637e-07,
                6.475950297942253e-07,
                9.42244256886598e-07,
                4.4508505193791187e-07
            ],
            [
                0.9999910603004993,
                0.9999869928761874,
                0.9999810748449907,
                0.9999810748449911,
                0.9999974387171787,
                0.999891103064815,
                0.9999970976883609,
                0.9999962733593831,
                0.9999910603004991,
                0.9999910603026303
            ],
            [
                0.9999974387184,
                0.9999994956527121,
                0.9999930377412608,
                0.9999938558246657,
                0.999997438717484,
                0.9999984465024306,
                0.9999974387180948,
                0.9999962733593831,
                0.9999987901337396,
                0.9999957771670591
            ],
            [
                0.5,
                0.14804719427274568,
                0.9999485577924737,
                1.147877223059538e-05,
                0.99979657309939,
                0.9999957771665554,
                0.997817283533357,
                0.7549149813536518,
                0.9999885212264134,
                0.9999251537727589
            ],
            [
                5.715003107689177e-07,
                1.0677029973056687e-06,
                2.1024341622426268e-07,
                2.5612822104232297e-06,
                1.7603438428564603e-06,
                1.9947294836483373e-06,
                5.715003107689177e-07,
                3.0590211752206485e-07,
                3.059021904571643e-07,
                3.466327863961242e-07
            ],
            [
                0.9999967112501504,
                0.9999945777797375,
                0.999997438717484,
                0.9999910603058276,
                0.9999970976873229,
                0.9999898700053977,
                0.9999852610127575,
                0.9999986290432835,
                0.9999945777810302,
                0.9999599362887106
            ],
            [
                4.785096776068365e-06,
                2.2603251062013478e-06,
                8.315284241597959e-07,
                1.553497754577351e-06,
                1.3709572068354007e-06,
                1.7603436330091044e-06,
                9.422444815765128e-07,
                1.3709568799879344e-06,
                5.715006514151423e-07,
                1.4738980213020151e-05
            ],
            [
                0.9999898700114356,
                0.999959936303039,
                0.9999952149055052,
                0.9999938558268632,
                0.9999724643121868,
                0.9999945777816766,
                0.9999810748517594,
                0.9996200154695835,
                0.9999785550439172,
                0.9999938558275953
            ],
            [
                0.9999952149060758,
                0.9999980052709919,
                0.9999990577549568,
                0.9999785550490304,
                0.9999984465018751,
                0.9999957771675622,
                0.9999962733616046,
                0.9999962733598274,
                0.9999984465018751,
                0.9999852610145143
            ],
            [
                0.9999756997505767,
                0.9999832985721828,
                0.9999417087136283,
                0.9999810748427347,
                0.999948557780219,
                0.9999785550464758,
                0.9999930377445807,
                0.999993855826863,
                0.9999339478395777,
                0.999972464315468
            ],
            [
                0.9999724643154645,
                0.9996200154241041,
                0.9998911030388326,
                0.9999687980737504,
                0.9999546021097124,
                0.9999251537905833,
                0.9999339478710692,
                0.9999417087275172,
                0.9999756997476794,
                0.5312093733737563
            ],
            [
                5.715003107655392e-07,
                1.3709568799823232e-06,
                6.475947981975644e-07,
                8.315278294038928e-07,
                3.4663257978638593e-07,
                8.939696302831578e-06,
                2.6995768091310296e-07,
                7.3382080556433e-07,
                1.2098652508347793e-06,
                1.3709573702722555e-06
            ],
            [
                5.422218969769604e-06,
                4.0063677853357896e-05,
                8.939693106873817e-06,
                0.00015843621652993932,
                3.1201918807538294e-05,
                0.9999151889485385,
                1.012999460251781e-05,
                4.006370651557427e-05,
                1.7603434231705793e-06,
                1.553497199007048e-06
            ],
            [
                0.9999980052700408,
                0.9999724642957851,
                0.9999832985841282,
                0.9999810748540158,
                0.9999832985721844,
                0.9999930377412604,
                0.9999724643154645,
                0.9999832985801461,
                0.9999967112505425,
                0.9998766053809797
            ],
            [
                6.475951069808602e-07,
                1.0677024881761599e-06,
                9.422447062202052e-07,
                1.7603427935967163e-06,
                2.5612812947077304e-06,
                1.5534977545243671e-06,
                8.315282259051341e-07,
                1.0677032518501217e-06,
                1.76034300345598e-06,
                7.338213304243302e-07
            ],
            [
                0.9999989322966208,
                0.999998790134028,
                0.9999992661791944,
                0.9999982396574163,
                0.9999991684715759,
                0.9999967112493664,
                0.9999989322967481,
                0.999991060303696,
                0.9999989322973845,
                0.999998790134605
            ],
            [
                0.9998204720767055,
                0.9999885212346111,
                0.9999921107364739,
                0.9999984465026158,
                0.9999687980960674,
                0.9999962733602723,
                0.9998766054398044,
                0.9999989322967481,
                0.9998911031166554,
                0.9998911030647897
            ],
            [
                0.9999982396569965,
                0.9999962733611601,
                0.9999984465020603,
                0.9999992661786696,
                0.9999810748517663,
                0.9999987901337395,
                0.9999982396569965,
                0.9999980052709918,
                0.9999967112521106,
                0.9999994284993486
            ],
            [
                6.144177531660828e-06,
                1.0129987357158383e-05,
                7.484622725903504e-05,
                8.939693106873817e-06,
                1.012999339449843e-05,
                1.5534979397677313e-06,
                3.535625914093709e-05,
                6.962254589705982e-06,
                8.93969736929749e-06,
                7.889260704531226e-06
            ],
            [
                0.9999994956525317,
                0.9999986290421394,
                0.9999989322972572,
                0.9999982396574162,
                0.9999980052705163,
                0.9999993524053562,
                0.9999989322975118,
                0.9999977396746245,
                0.9999962733598274,
                0.9999977396765105
            ],
            [
                3.059022998558814e-07,
                3.4663262110945863e-07,
                3.059022998558814e-07,
                4.450851580555361e-07,
                3.9278638755992735e-07,
                1.0677032518700286e-06,
                5.043475885674441e-07,
                6.47594952595231e-07,
                2.6995780963588326e-07,
                3.05902117523595e-07
            ],
            [
                0.9999938558268633,
                0.9999962733616045,
                0.9999885212359795,
                0.9999885212359795,
                0.9999991684720715,
                0.9999962733602716,
                0.9999982396565769,
                0.9999885212359798,
                0.9999952149072165,
                0.9999986290431201
            ],
            [
                0.9999938558246656,
                0.9999687980737504,
                0.9999756997621647,
                0.9999957771680663,
                0.9999980052705163,
                0.9999952149049349,
                0.9999957771680659,
                0.9999832985821373,
                0.9999646437366505,
                0.9999599362982616
            ],
            [
                0.9999785550515867,
                0.9999785550515873,
                0.9999898700066053,
                0.9999938558239332,
                0.9999785550592561,
                0.9999930377412604,
                0.9999957771680656,
                0.9999910603036959,
                0.9999957771645419,
                0.9999930377462403
            ],
            [
                0.9999989322968754,
                0.9999986290429566,
                0.9999982396569965,
                0.999988521234612,
                0.9999986290432835,
                0.9999977396746244,
                0.99999862904312,
                0.9999957771655487,
                0.9999977396751633,
                0.9999996072136125
            ],
            [
                0.9994472214524439,
                0.9998766054544782,
                0.9998911031296585,
                0.9999546021367712,
                0.9994472214530228,
                0.9995121429382132,
                0.999925153781686,
                0.9998204720553759,
                0.9997388097840392,
                0.9997694932022101
            ],
            [
                0.9999957771670588,
                0.9999987901341723,
                0.999998790134605,
                0.9999599363030446,
                0.9999967112505427,
                0.999989870005398,
                0.9999910603015646,
                0.9999724643187513,
                0.9999987901347492,
                0.9999898700041902
            ],
            [
                0.9999952149055055,
                0.9999339478317334,
                0.999948557780225,
                0.9999151889182929,
                0.9999339478632303,
                0.999992110733653,
                0.9999417087414922,
                0.9997965730752747,
                0.9999852610180288,
                0.9999546021313623
            ],
            [
                0.9999930377437501,
                0.9999986290429566,
                0.9999980052698029,
                0.9999980052702785,
                0.9999967112493664,
                0.9999938558246656,
                0.9999921107355335,
                0.9999938558239334,
                0.9999945777790911,
                0.9999994284994849
            ],
            [
                0.9999984465020603,
                0.9999930377404305,
                0.9999810748517598,
                0.9999962733602716,
                0.9999984465018751,
                0.9999980052709918,
                0.9999898700066052,
                0.9999898700126431,
                0.9999977396746244,
                0.9999957771665555
            ],
            [
                0.9999977396748938,
                0.9999986290429566,
                0.9999687980737492,
                0.9999974387168732,
                0.9999945777797374,
                0.9999898700078126,
                0.9999938558246657,
                0.9999930377412605,
                0.9999982396572064,
                0.9999930377437503
            ],
            [
                0.9997040427944791,
                0.9999417087275172,
                0.9999832985761651,
                0.9999785550515884,
                0.9999810748495038,
                0.9999339478396017,
                0.9999151889384297,
                0.9999251537816681,
                0.999975699767958,
                0.9999251537459781
            ],
            [
                0.9999151889384377,
                0.999975699767958,
                0.9999982396567867,
                0.9999952149066461,
                0.999998446502801,
                0.99998107485853,
                0.99999303774624,
                0.9999885212264008,
                0.999996273360716,
                0.9999962733611601
            ],
            [
                0.9999967112521106,
                0.9999930377445801,
                0.9999910603026303,
                0.9999546021367712,
                0.9999938558232008,
                0.9999910603058275,
                0.9999970976890528,
                0.9999967112505425,
                0.9999898700102279,
                0.9999930377445803
            ],
            [
                0.9999952149066462,
                0.9999485577679555,
                0.99992515374599,
                0.9999974387180947,
                0.9999852610180278,
                0.9999810748427351,
                0.999620015469086,
                0.9999832985841293,
                0.9999599363173639,
                0.9999599363030427
            ],
            [
                0.9999974387165679,
                0.9999986290431201,
                0.999999730042126,
                0.9999991684717742,
                0.9999977396757022,
                0.9999987901346049,
                0.9999984465026158,
                0.9999945777797374,
                0.999998629042303,
                0.9999485577924737
            ],
            [
                0.9999898700090202,
                0.9999852610197864,
                0.9999952149055052,
                0.9999251537816921,
                0.9999984465026158,
                0.9999970976880148,
                0.9999930377445801,
                0.9999417087414281,
                0.9999832985721833,
                0.9999930377404305
            ],
            [
                3.9278638755456876e-07,
                1.0677027427340866e-06,
                1.8553907971758842e-07,
                5.04347648686092e-07,
                3.9278610661822475e-07,
                2.6995774527577444e-07,
                2.699578739984626e-07,
                1.0677029973056687e-06,
                1.0677026154551157e-06,
                2.6995787400208416e-07
            ],
            [
                0.9999869928699853,
                0.9999910603026305,
                0.999948557761818,
                0.9999977396765105,
                0.9999687980923468,
                0.999978555051593,
                0.9999485578047371,
                0.9999485577986111,
                0.9999646437324287,
                0.9999945777797374
            ],
            [
                0.9999785550567016,
                0.9999869928730869,
                0.9999952149055054,
                0.9999982396559473,
                0.9999785550567043,
                0.9999921107345928,
                0.9999756997621669,
                0.9999910603015649,
                0.9999921107364741,
                0.9999832985761651
            ],
            [
                0.999978555056703,
                0.9999756997650627,
                0.9999832985821373,
                0.999860177859246,
                0.9999599362887123,
                0.9997965729297074,
                0.9999646437492894,
                0.9999930377412604,
                0.9995121428797439,
                0.9999910603058274
            ],
            [
                0.9999962733611603,
                0.9999984465018751,
                0.999998629042303,
                0.9999994956525918,
                0.9999967112521109,
                0.9999962733602717,
                0.999999352405279,
                0.9999984465022455,
                0.9999986290421394,
                0.9999990577555183
            ],
            [
                2.6995774527577444e-07,
                6.962257078249291e-06,
                1.2098659719441482e-06,
                2.561282210701601e-06,
                6.144173869312763e-06,
                1.3007126912826352e-05,
                8.315282259009745e-07,
                1.0129987356706945e-05,
                4.4508515805199415e-07,
                8.3152792852928e-07
            ],
            [
                0.9999869928730867,
                0.999981074849503,
                0.9999910602994335,
                0.9999910602994335,
                0.999991060306893,
                0.9999898700078128,
                0.9999930377412605,
                0.9999852610197864,
                0.9999930377437503,
                0.9999957771645419
            ],
            [
                6.144173869446876e-06,
                8.315278294038928e-07,
                4.450851580555361e-07,
                1.7603427936079236e-06,
                2.561283126679493e-06,
                2.1024331597152624e-07,
                3.466326211105621e-07,
                8.315282259089153e-07,
                3.72664017246987e-06,
                3.0590215399183813e-07
            ],
            [
                0.9999930377437504,
                0.9999921107383547,
                0.9999921107355334,
                0.9999962733589389,
                0.9998911031297076,
                0.9999756997621647,
                0.9999038975850585,
                0.999993855825398,
                0.9999852610145155,
                0.9999885212346117
            ],
            [
                1.0129992187253088e-05,
                6.47594566597747e-07,
                1.3709570433786157e-06,
                1.9947304348332037e-06,
                9.422444815563743e-07,
                1.9947306726049992e-06,
                2.2603234894745224e-06,
                1.9947304348332037e-06,
                1.7603434231505666e-06,
                1.5534983100920427e-06
            ],
            [
                0.9999986290423029,
                0.9999992661791944,
                0.9999991684722697,
                0.9999982396561571,
                0.9999994956523512,
                0.9999982396574162,
                0.9999962733598274,
                0.9999977396751631,
                0.9999992661786695,
                0.9999967112493664
            ],
            [
                0.9999994284994167,
                0.999993037745411,
                0.9999967112509347,
                0.9999987901337395,
                0.9999974387184,
                0.9999952149055052,
                0.9999852610215426,
                0.9999945777810302,
                0.9999945777829693,
                0.9999977396757022
            ],
            [
                0.9999982396561572,
                0.9999885212291376,
                0.9999785550413615,
                0.9999962733611601,
                0.9999982396569965,
                0.9999869928668836,
                0.9999967112513266,
                0.9999910603026303,
                0.9999957771665555,
                0.9999980052709918
            ],
            [
                0.9999990577555185,
                0.9999996533672135,
                0.999997097686977,
                0.9999993524052018,
                0.9999980052698029,
                0.9999991684716749,
                0.9999982396559473,
                0.9999992661791944,
                0.9999996072138934,
                0.9999994284994849
            ],
            [
                0.9999970976887068,
                0.999999266178932,
                0.999999730042319,
                0.9999982396561572,
                0.9999987901341723,
                0.9999974387184,
                0.9999996072138465,
                0.9999977396762411,
                0.9999995549149481,
                0.9999982396574162
            ],
            [
                0.9999962733607158,
                0.9999967112521106,
                0.9999970976890528,
                0.9999984465024306,
                0.9999885212305059,
                0.9999810748495053,
                0.9999987901344607,
                0.9999952149055056,
                0.9999986290432835,
                0.9999885212332431
            ],
            [
                0.9999938558268628,
                0.9999962733602716,
                0.9999952149055054,
                0.999998446502801,
                0.9999957771665555,
                0.9999832985761646,
                0.9999885212305069,
                0.9999938558268631,
                0.9999986290421394,
                0.9999962733620487
            ],
            [
                0.9999687980923594,
                0.999841563746163,
                0.9999339478238921,
                0.9998911031296949,
                0.9997694933129441,
                0.9998911030519267,
                0.9997965731003045,
                0.9996200154261381,
                0.9999251537549678,
                0.9999646437366568
            ],
            [
                0.9999970976887068,
                0.999985261021543,
                0.9999898700114355,
                0.9999832985721833,
                0.9998911031166918,
                0.9999885212291375,
                0.9999724643187494,
                0.9999910603026306,
                0.9999945777784448,
                0.9999952149055054
            ],
            [
                1.012998735687278e-05,
                3.7266406167827664e-06,
                1.3709570434122812e-06,
                9.422443692527585e-07,
                4.222832941111319e-06,
                2.561281905376098e-06,
                2.902313023101807e-06,
                6.9622579096593295e-06,
                6.14417533430649e-06,
                6.962256249682458e-06
            ],
            [
                3.059022269206168e-07,
                1.7603432133136672e-06,
                4.450850519360903e-07,
                1.4449800373065699e-07,
                2.102433159721477e-07,
                2.3823685319244518e-07,
                6.475951069932288e-07,
                2.102434412871794e-07,
                9.422448185388577e-07,
                4.450852111135988e-07
            ],
            [
                3.9278605979208185e-07,
                1.637376862478556e-07,
                1.2751908849167202e-07,
                2.6995774527577444e-07,
                1.1253508156317518e-07,
                1.8553916819032217e-07,
                3.466326211105621e-07,
                2.6995784182073116e-07,
                1.3709576971160984e-06,
                2.6995784182073116e-07
            ],
            [
                0.9999869928653331,
                0.9999687980774823,
                0.9241418257242036,
                0.9999957771665555,
                0.9999957771655487,
                0.999999266179107,
                0.9999810748427351,
                0.9999687980923481,
                0.9999485577864734,
                0.9999832985721839
            ],
            [
                2.6995784182073116e-07,
                2.1024329090867228e-07,
                1.4449796927932878e-07,
                6.475951070002966e-07,
                8.315280276505193e-07,
                2.9023126769050284e-06,
                8.315277302819205e-07,
                8.315277302788957e-07,
                1.3709570433979422e-06,
                6.475948754012522e-07
            ],
            [
                8.315279285205827e-07,
                1.553497384180408e-06,
                1.3709578604308174e-06,
                3.726639728184142e-06,
                4.785095635296322e-06,
                2.5612825157045092e-06,
                6.144173869240119e-06,
                2.902311293147782e-06,
                4.222833947897496e-06,
                1.9947299592570416e-06
            ],
            [
                5.043472278227948e-07,
                4.4508505193791187e-07,
                5.715005832762133e-07,
                1.2098658276444443e-06,
                7.338213304196583e-07,
                5.71500242637956e-07,
                5.715005832798517e-07,
                3.059023363207381e-07,
                1.0677026154376365e-06,
                3.726639728224814e-06
            ],
            [
                0.9999952149066461,
                0.9999990577552939,
                0.9999957771675624,
                0.9999989322968754,
                0.9999980052700407,
                0.9999982396561571,
                0.9999989322971299,
                0.9999986290431201,
                0.999998790134028,
                0.9999967112493664
            ],
            [
                0.9999869928684342,
                0.9999987901343165,
                0.9999980052702785,
                0.9999921107336526,
                0.9999756997679586,
                0.9999938558232008,
                0.9999898700053974,
                0.9999869928653331,
                0.9999957771645418,
                0.9999921107345928
            ]
        ]
    },
    {
        "q_id": "10623_mmlu_computer science",
        "cot_ids": [
            0,
            5,
            6,
            11,
            12,
            13,
            14,
            16,
            17,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            47,
            48,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            70,
            71,
            72,
            73,
            74,
            75,
            77,
            78,
            79,
            80,
            82,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            92,
            93,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            106,
            107,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127,
            1,
            2,
            3,
            4,
            7,
            8,
            9,
            10,
            19,
            37,
            38,
            49,
            81,
            83
        ],
        "rewards": [
            [
                9.610241607279328e-05,
                5.829129328744691e-05,
                4.5397873994468824e-05,
                NaN,
                7.484625374097369e-05,
                6.605212860208155e-05,
                8.481106110570448e-05,
                0.00017952798559868428,
                2.1444950965282096e-05,
                1.8925145974191664e-05
            ],
            [
                0.0005527786252180275,
                0.00010889696044015842,
                0.0005527787549440787,
                0.00010889693383979772,
                0.00017952798649721472,
                0.0001233945733936657,
                0.0007096704910700695,
                9.61024144087689e-05,
                0.9994472212915245,
                0.00017952796180330198
            ],
            [
                3.120190746022136e-05,
                5.144223195990727e-05,
                2.4300237795616407e-05,
                3.120191119305673e-05,
                1.1478765385432939e-05,
                NaN,
                1.0129994599072117e-05,
                2.7535687791694597e-05,
                5.14422258772351e-05,
                2.1444940582945067e-05
            ],
            [
                4.539785219150233e-05,
                5.144223813015987e-05,
                0.00010889695997590378,
                1.4738985477605971e-05,
                5.144221345925926e-05,
                6.605212828298922e-05,
                3.120190019932095e-05,
                NaN,
                0.0001088969215061564,
                8.481105076922944e-05
            ],
            [
                0.029312228154459972,
                0.0028009267011421396,
                0.010986943197311238,
                0.0010322309764930005,
                0.006692850627093571,
                0.10669058471438037,
                NaN,
                0.0004305570632127928,
                NaN,
                0.03308597755446608
            ],
            [
                NaN,
                NaN,
                NaN,
                4.5397857673786415e-05,
                2.1444953506061874e-05,
                NaN,
                4.006369162582285e-05,
                5.144223772632008e-05,
                NaN,
                NaN
            ],
            [
                1.6701417852987564e-05,
                5.144221351278017e-05,
                4.006370645013473e-05,
                5.829124461687359e-05,
                1.6701421825979123e-05,
                1.3007126911974612e-05,
                1.8925148230890784e-05,
                6.605215169879607e-05,
                0.0002034268973988422,
                NaN
            ],
            [
                0.00017952800743245223,
                0.000626334278489389,
                6.60521524508739e-05,
                2.7535681216639104e-05,
                0.00010889690760862876,
                0.00013982203904654245,
                3.5356238000833036e-05,
                9.610239014058491e-05,
                8.481102088527284e-05,
                0.00020342696512153666
            ],
            [
                3.53562633126235e-05,
                0.00012339460357982713,
                6.605215236389237e-05,
                0.00026119025612499986,
                7.484624476808677e-05,
                0.0001233945585905458,
                7.484623551530879e-05,
                9.610238015504348e-05,
                0.00013982202303993165,
                NaN
            ],
            [
                3.120192618433512e-05,
                0.00012339463286649722,
                0.0001398221386647473,
                6.144177504296086e-06,
                1.670142780594382e-05,
                NaN,
                0.0001795279416020435,
                3.535624643217795e-05,
                1.8925152747938785e-05,
                4.539788482296012e-05
            ],
            [
                0.999738809705588,
                0.9998415637307874,
                NaN,
                0.022977368321044828,
                NaN,
                0.020332353750780022,
                3.53562633126235e-05,
                0.9995694428518144,
                1.0129987354366822e-05,
                0.9991959139710251
            ],
            [
                NaN,
                8.481107144588298e-05,
                NaN,
                NaN,
                NaN,
                0.00015843621283242247,
                NaN,
                0.00048785717699412044,
                5.829127930740772e-05,
                8.481101036245995e-05
            ],
            [
                1.4738978445861935e-05,
                0.9998415638489926,
                0.9986749773775941,
                0.9996646498202328,
                0.9999646437410463,
                0.9998766054433396,
                0.9940889310260959,
                0.9997040428445603,
                0.9999339478715747,
                0.9968273169572265
            ],
            [
                0.9953904274061245,
                NaN,
                2.430023782010365e-05,
                0.04208772926732987,
                NaN,
                2.14449480501886e-05,
                NaN,
                0.020332351598867964,
                NaN,
                1.4738987221842767e-05
            ],
            [
                9.610237917760432e-05,
                3.535624639719312e-05,
                1.3007134661628471e-05,
                5.1442213215982386e-05,
                4.5397863124032274e-05,
                2.144494837847401e-05,
                6.605214253450011e-05,
                0.0007096704144563536,
                2.753570090154133e-05,
                8.48110711213255e-05
            ],
            [
                NaN,
                NaN,
                6.60521189197444e-05,
                NaN,
                NaN,
                5.8291265273087095e-05,
                NaN,
                NaN,
                0.0001584362535028076,
                4.539787942390787e-05
            ],
            [
                4.539787917552373e-05,
                0.00015843617617076358,
                0.00033535013134458115,
                0.9914225156237929,
                NaN,
                9.610245846766914e-05,
                7.484625381503078e-05,
                NaN,
                0.9998766054263477,
                NaN
            ],
            [
                2.4300237797030833e-05,
                3.5356250691324983e-05,
                2.753569761591508e-05,
                2.4300234919028452e-05,
                5.829125850317835e-05,
                5.422219614951598e-06,
                2.753568734693318e-05,
                5.144223187382465e-05,
                1.4738978453315019e-05,
                5.8291251450819816e-05
            ],
            [
                NaN,
                0.9990889486276863,
                0.00020342703904768173,
                0.9996646497214463,
                8.481102047062933e-05,
                0.9997694933506848,
                0.000203426921200339,
                0.00015843617581576516,
                0.00010889690536182764,
                NaN
            ],
            [
                0.9999485577936257,
                0.9993736657720453,
                0.9980732651490701,
                0.9995694429952812,
                0.9999417087350343,
                0.9990889488354812,
                0.9982992776941115,
                0.9995121428853353,
                4.006367785146321e-05,
                0.9998204720816867
            ],
            [
                0.00010889690916459403,
                2.4300240704824895e-05,
                4.006370165745395e-05,
                5.144222575222819e-05,
                3.120191879561992e-05,
                4.539788478332436e-05,
                1.1478770859332632e-05,
                5.829129293162679e-05,
                0.00010889692178502596,
                6.605214449759119e-05
            ],
            [
                8.481102096116742e-05,
                7.48462357636178e-05,
                1.1478770859332632e-05,
                2.144494328685209e-05,
                1.3007133111929193e-05,
                3.1201915067096954e-05,
                2.4300252245746546e-05,
                4.5397879028210795e-05,
                7.484625357652338e-05,
                1.3007130010117919e-05
            ],
            [
                0.9999038975969248,
                6.605213674902834e-05,
                NaN,
                1.0129994598777299e-05,
                0.9968273170257074,
                0.9998204720574785,
                0.9984988175706843,
                0.9991959142109365,
                0.9995694428707028,
                0.9971990726810586
            ],
            [
                0.9993736658674313,
                0.9968273174071388,
                0.9933071495741297,
                0.9986749775438126,
                0.9995121427706957,
                0.9997388097032625,
                0.9953904285406615,
                0.9740426442621272,
                0.9999485577700713,
                0.9998601779893393
            ],
            [
                2.753569436424737e-05,
                7.484622717027548e-05,
                8.481108154418716e-05,
                3.120192623110058e-05,
                1.8925143721072897e-05,
                2.7535691078121046e-05,
                1.8925148239772175e-05,
                2.753569109454917e-05,
                3.120191507027519e-05,
                1.1478768122069266e-05
            ],
            [
                0.9999646437581784,
                0.9998601778764467,
                0.999981074851767,
                0.9999810748562998,
                0.9999546021151896,
                0.9994472212907848,
                0.9980732651199671,
                3.120190392137216e-05,
                0.9999756997592939,
                0.9999038976199387
            ],
            [
                4.006370157904312e-05,
                2.4300240702172852e-05,
                4.539785721202996e-05,
                NaN,
                NaN,
                3.1201926095344524e-05,
                7.484620920327215e-05,
                3.535626332509972e-05,
                5.144221928967052e-05,
                1.4738980177926314e-05
            ],
            [
                4.006368728611932e-05,
                8.481106033318373e-05,
                2.144495604044475e-05,
                4.0063692137387875e-05,
                4.5397863120399e-05,
                7.48461999526767e-05,
                6.605214342738216e-05,
                4.0063677546856225e-05,
                3.5356242207501795e-05,
                5.144219471945811e-05
            ],
            [
                8.481100966891938e-05,
                0.00023050663097134552,
                0.00012339463294908592,
                0.00010889690871143104,
                8.481101006628603e-05,
                0.9984988177847937,
                6.605212865494324e-05,
                0.00020342689401300402,
                0.00015843629091136474,
                8.481105062361053e-05
            ],
            [
                0.995929862163298,
                0.9978172832042529,
                8.481108127639636e-05,
                0.0002034270202361419,
                0.00015843625250235705,
                0.00037998451947226527,
                6.60521760915919e-05,
                0.0002305067104435445,
                1.3007134662432895e-05,
                0.00023050682223050458
            ],
            [
                1.0129990978847043e-05,
                1.1478768103611772e-05,
                3.535625907765566e-05,
                4.539789016454115e-05,
                NaN,
                5.144221342220632e-05,
                2.4300234922476113e-05,
                3.535624646549072e-05,
                6.605216810947268e-05,
                2.7535694350223355e-05
            ],
            [
                2.753570418897106e-05,
                2.430023776874232e-05,
                0.000158436251992911,
                4.539785771672514e-05,
                1.147876675548402e-05,
                0.00012339455921355153,
                2.4300232009732255e-05,
                2.1444945849006956e-05,
                NaN,
                NaN
            ],
            [
                0.9740426408713357,
                0.009708474547422796,
                0.9980732649650496,
                NaN,
                0.02595735484308074,
                0.0159063885045792,
                9.610240159298557e-05,
                NaN,
                0.9975273768571479,
                0.001325022571107644
            ],
            [
                4.539787937205107e-05,
                NaN,
                NaN,
                8.481108040391665e-05,
                3.120191498241972e-05,
                7.484622689092787e-05,
                4.006370142222144e-05,
                3.53562464218883e-05,
                NaN,
                8.48110081399216e-05
            ],
            [
                0.042087724911816705,
                9.610246025055319e-05,
                0.0002959569892228466,
                4.5397873881506904e-05,
                NaN,
                5.144220132947586e-05,
                0.00023050671342148888,
                NaN,
                7.484624496248661e-05,
                5.8291244503214816e-05
            ],
            [
                6.962256248606003e-06,
                2.4300246374286174e-05,
                1.8925150482151187e-05,
                5.144220130215401e-05,
                1.473898899256772e-05,
                4.5397863008758294e-05,
                5.1442195178315546e-05,
                5.144221954791831e-05,
                6.605216723340994e-05,
                4.539785175616975e-05
            ],
            [
                3.1201922329362924e-05,
                0.00023050675503222888,
                NaN,
                NaN,
                0.9993736657609693,
                0.0003799845788918348,
                NaN,
                0.9999810748429461,
                0.00020342698720052506,
                0.0002034270382426567
            ],
            [
                5.144223799018203e-05,
                NaN,
                9.61024031647193e-05,
                5.144221326388922e-05,
                2.144494838924002e-05,
                NaN,
                3.535624205007004e-05,
                2.7535697643963113e-05,
                7.484621826273621e-05,
                3.535625900948665e-05
            ],
            [
                3.120191506039996e-05,
                4.006367780569929e-05,
                5.144223802012381e-05,
                2.144495096161541e-05,
                1.8925154997134284e-05,
                4.006369202837061e-05,
                1.3007134665130082e-05,
                4.006368252084088e-05,
                NaN,
                3.1201926125537765e-05
            ],
            [
                3.535624631873447e-05,
                0.00013982204044010233,
                3.535625490931388e-05,
                4.539789009220586e-05,
                4.0063692144966625e-05,
                5.82912446122085e-05,
                5.829127935617924e-05,
                3.120192618864844e-05,
                2.4300252311252174e-05,
                9.610239159625626e-05
            ],
            [
                8.48110307478659e-05,
                2.1444943260717208e-05,
                5.144221339413591e-05,
                4.539788955216842e-05,
                NaN,
                0.00013982202130052501,
                3.1201918704132166e-05,
                3.535623800829303e-05,
                7.484621764141931e-05,
                8.481103742165322e-05
            ],
            [
                6.60521364823171e-05,
                8.481108154418716e-05,
                9.610239125506144e-05,
                6.605217602719671e-05,
                3.120191489842352e-05,
                0.00013982203951852184,
                0.00010889692170580166,
                8.481107946356372e-05,
                3.535625894234661e-05,
                NaN
            ],
            [
                3.535626332509972e-05,
                3.5356242260622145e-05,
                0.0001398220789145667,
                2.144495096161541e-05,
                9.610243730239069e-05,
                2.7535694337100886e-05,
                8.481105104319044e-05,
                3.5356254902111115e-05,
                1.4738978449883382e-05,
                9.610237944468713e-05
            ],
            [
                NaN,
                0.00013982203932932322,
                NaN,
                NaN,
                NaN,
                0.00015843619041680456,
                5.8291272333081096e-05,
                0.00012339458767073348,
                9.610240289903478e-05,
                6.605215166515682e-05
            ],
            [
                1.300713466316634e-05,
                3.535625487947387e-05,
                8.481108166450792e-05,
                7.484625372354849e-05,
                1.012998976091482e-05,
                4.539788482626311e-05,
                3.535625486069523e-05,
                2.1444943292703185e-05,
                2.144494838221871e-05,
                9.610244855203764e-05
            ],
            [
                3.120191502010449e-05,
                8.4811050928423e-05,
                NaN,
                NaN,
                1.8925157215692683e-05,
                NaN,
                2.144495607336692e-05,
                NaN,
                2.753569763544853e-05,
                1.4738981964307261e-05
            ],
            [
                5.8291265273087095e-05,
                4.0063700556495795e-05,
                1.892515725376564e-05,
                0.00012339460229790708,
                NaN,
                3.120191504757351e-05,
                5.829129252279415e-05,
                1.0129987351621326e-05,
                1.3007123795850811e-05,
                3.535626316419511e-05
            ],
            [
                9.610242472012706e-05,
                1.8925143714394646e-05,
                2.7535697598885924e-05,
                2.753570090334442e-05,
                4.539785229059168e-05,
                2.7535691040256217e-05,
                3.1201907583945445e-05,
                3.535625487278559e-05,
                5.8291271156627426e-05,
                3.120190759075595e-05
            ],
            [
                1.4738983719053027e-05,
                6.605213664426609e-05,
                2.753568446199446e-05,
                8.48110814948248e-05,
                4.539787929707341e-05,
                2.430024936738885e-05,
                6.605212095395777e-05,
                3.5356259098234985e-05,
                4.5397857701531434e-05,
                0.9947798743668946
            ],
            [
                0.00012339455950261183,
                NaN,
                NaN,
                1.8925148196329095e-05,
                6.605217606900554e-05,
                NaN,
                NaN,
                6.605217588302838e-05,
                1.8925150485318196e-05,
                0.00010889694761215425
            ],
            [
                2.1444956041692983e-05,
                2.7535697652678035e-05,
                2.144495860837422e-05,
                3.1201911361276113e-05,
                NaN,
                3.120192246284879e-05,
                2.7535704091403975e-05,
                0.9964063974485928,
                NaN,
                NaN
            ],
            [
                5.829129322340776e-05,
                3.1201907609144296e-05,
                1.1478770858706246e-05,
                1.6701419844465412e-05,
                3.5356237938323366e-05,
                1.300713311155064e-05,
                3.120190012917282e-05,
                2.7535704080184756e-05,
                NaN,
                NaN
            ],
            [
                0.9994472213578989,
                0.9999417087210247,
                8.481107141626557e-05,
                0.9989677691305858,
                0.9982992777423391,
                NaN,
                0.999088948803586,
                0.9989677689904951,
                0.9914225142457329,
                0.9997388096857073
            ],
            [
                3.1201911314056636e-05,
                6.605213655680403e-05,
                5.1442225572203264e-05,
                3.5356254858380065e-05,
                NaN,
                5.829127855802276e-05,
                4.539786283964575e-05,
                NaN,
                4.539785227903126e-05,
                5.829128538858017e-05
            ],
            [
                6.605212783606774e-05,
                8.481100987377301e-05,
                3.120190762197074e-05,
                4.006371115566053e-05,
                4.0063696784031e-05,
                4.0063692115526124e-05,
                2.753570407437481e-05,
                5.144222565678878e-05,
                4.006370166357524e-05,
                3.535626740044965e-05
            ],
            [
                3.535626325448691e-05,
                4.5397874009662535e-05,
                1.892515726099468e-05,
                6.60521365707403e-05,
                6.605212039026007e-05,
                4.539786857031521e-05,
                2.75356877287869e-05,
                0.9626731141283642,
                1.6701427811898146e-05,
                8.481103984040762e-05
            ],
            [
                8.481108161946477e-05,
                2.144495604044475e-05,
                0.00020342699472987498,
                8.48110405290122e-05,
                4.5397852361605714e-05,
                0.00012339454419498463,
                2.1444943278894603e-05,
                0.00017952800694923088,
                6.605214433948666e-05,
                1.1478770860481005e-05
            ],
            [
                0.04742587115801276,
                0.9996200155540974,
                0.0008040857999133659,
                0.001325022515188025,
                0.0010322311181442936,
                0.9989677691758421,
                0.04208772851637929,
                0.015906393402902782,
                0.004609571401650101,
                NaN
            ],
            [
                4.006367764567131e-05,
                0.00010889690847534261,
                4.006370166357524e-05,
                NaN,
                8.481106116247119e-05,
                9.610239177244703e-05,
                2.4300237765029454e-05,
                3.5356242054185904e-05,
                1.4738985436265473e-05,
                4.006368734295987e-05
            ],
            [
                NaN,
                0.00017952796348543428,
                9.610239059224852e-05,
                2.7535690948899807e-05,
                1.4738987205381632e-05,
                2.753568439888643e-05,
                5.144219504919172e-05,
                0.00010889686990262187,
                3.5356259098234985e-05,
                5.144221967142812e-05
            ],
            [
                2.430024072188641e-05,
                0.9998415637647842,
                4.539788481668446e-05,
                7.484622706027895e-05,
                NaN,
                8.481104125710667e-05,
                0.00017952798689946378,
                0.00013982210704821174,
                3.120192622962497e-05,
                0.00012339459650413136
            ],
            [
                0.00013982202220989902,
                NaN,
                8.481101068578313e-05,
                0.00020342697000495883,
                0.00010889688268942024,
                5.144221325715233e-05,
                5.829126540667861e-05,
                9.610241443673568e-05,
                0.00010889688235826274,
                NaN
            ],
            [
                8.481100999471066e-05,
                1.67014238214675e-05,
                4.539787938592359e-05,
                2.7535681216639104e-05,
                6.605213640158288e-05,
                3.120190019932095e-05,
                1.8925150486075525e-05,
                8.481104072399344e-05,
                8.481107103494138e-05,
                NaN
            ],
            [
                0.00010889694730159487,
                NaN,
                0.00017952804819283132,
                7.484625390487944e-05,
                0.0001088968828035032,
                0.007577240420451351,
                0.00026119039671858963,
                4.0063677816192936e-05,
                0.00010889693460193567,
                0.00010889693394120483
            ],
            [
                0.00013982207154598984,
                NaN,
                5.1442219434139573e-05,
                NaN,
                0.00010889694627009412,
                0.00015843626760362884,
                0.00026119032956804187,
                8.481103102244385e-05,
                0.00017952793732357714,
                8.481102032747859e-05
            ],
            [
                NaN,
                5.8291286228722664e-05,
                0.0002611904288575349,
                5.829125116200775e-05,
                0.022977369073719923,
                0.9968273175308463,
                3.5356246402852425e-05,
                0.9933071495957999,
                0.03732689055684297,
                0.13296425050508953
            ],
            [
                0.9959298626276455,
                0.9995694430098107,
                0.9998601778764935,
                0.999954602142864,
                0.9997388095697518,
                0.9997040429466171,
                0.9997694933452588,
                0.999195913877212,
                0.9980732653268223,
                0.9986749775871002
            ],
            [
                NaN,
                6.605212884380361e-05,
                0.00023050661384146505,
                NaN,
                NaN,
                0.00015843619676758863,
                0.00048785709289479067,
                5.82912652794486e-05,
                0.0003353500788730507,
                5.829127933751884e-05
            ],
            [
                0.00020342704283011554,
                2.7535684522397864e-05,
                0.00015843625288501786,
                4.006369216143581e-05,
                6.605217600172698e-05,
                9.61023917109201e-05,
                3.5356238040705445e-05,
                1.8925157201096903e-05,
                0.9902915252108209,
                4.006369692044835e-05
            ],
            [
                0.9971990734920014,
                2.7535684525803696e-05,
                1.6701419846288166e-05,
                0.999841563768159,
                0.9992903297116096,
                0.9999687980961444,
                0.9997040429186488,
                0.9997040427969073,
                0.9997388096020959,
                0.9997388097349986
            ],
            [
                0.9933071478281308,
                4.5397863198349305e-05,
                0.9997965730836298,
                0.9996200154912841,
                0.9996646497772156,
                0.999704042943698,
                0.999373665898692,
                0.9997965729793377,
                0.9991959138816547,
                9.610239127044318e-05
            ],
            [
                1.892514823426434e-05,
                3.120191877609648e-05,
                1.892514597343433e-05,
                0.00020342704331549827,
                1.8925150474922147e-05,
                3.5356242260622145e-05,
                7.484620887328268e-05,
                3.5356237848031646e-05,
                0.053403335826022726,
                7.484624481164976e-05
            ],
            [
                0.9997388096755693,
                0.9982992775616838,
                1.6701421841259862e-05,
                0.9933071477352585,
                0.966914022326357,
                0.999290329595079,
                0.9995694429894443,
                0.00015843615903863312,
                8.939695236593446e-06,
                2.7535691054881254e-05
            ],
            [
                1.6701427809710842e-05,
                5.1442219564386285e-05,
                0.0001398220730026163,
                4.539789008295751e-05,
                2.4300249410794055e-05,
                1.012999218369684e-05,
                7.484626242634588e-05,
                3.120190012667564e-05,
                2.4300237782886576e-05,
                1.6701429792440666e-05
            ],
            [
                2.4300234903469775e-05,
                0.00012339461814057261,
                7.484624462650707e-05,
                6.605216030564256e-05,
                0.00010889696055741044,
                5.144222572715195e-05,
                4.0063711205213854e-05,
                0.0001584362345288257,
                4.539785225458921e-05,
                9.610240321366119e-05
            ],
            [
                5.144223192135723e-05,
                0.9968273168143738,
                0.9995694428690245,
                0.9997965730293499,
                0.9998766054119254,
                0.9998415637667759,
                0.9998204719924134,
                0.999915188980566,
                0.9465966641739773,
                0.999968798073809
            ],
            [
                0.00023050662887202962,
                6.605216015282417e-05,
                1.3007133109421283e-05,
                6.962255418658875e-06,
                2.7535691044062732e-05,
                5.144222575222819e-05,
                7.484622676568432e-05,
                2.1444953513707305e-05,
                2.1444943144007405e-05,
                0.00012339455700879348
            ],
            [
                2.1444956067203762e-05,
                9.610237987677397e-05,
                2.7535703770654675e-05,
                1.3007123811229494e-05,
                2.430023782717578e-05,
                7.484620038721724e-05,
                2.1444950962395557e-05,
                1.0129994601301684e-05,
                3.120192622644674e-05,
                3.120192250723057e-05
            ],
            [
                0.00010889690765140989,
                3.120190386246134e-05,
                NaN,
                NaN,
                5.144220733279945e-05,
                2.7535694350223355e-05,
                NaN,
                3.1201903645433426e-05,
                6.605214449759119e-05,
                5.14422257009529e-05
            ],
            [
                0.0001233945412235888,
                NaN,
                0.000335350094913064,
                0.000139822088175131,
                NaN,
                0.999841563769911,
                NaN,
                NaN,
                0.0002034270411194373,
                0.0001233946318628649
            ],
            [
                NaN,
                1.147877086020957e-05,
                2.753569108453202e-05,
                9.610240263055355e-05,
                NaN,
                3.5356267471448335e-05,
                7.889260701237816e-06,
                5.1442236200037705e-05,
                4.006369674205642e-05,
                0.00029595719032263993
            ],
            [
                7.484625353622762e-05,
                0.0002959571379853593,
                NaN,
                0.00012339454417164438,
                6.605215145178775e-05,
                0.00012339457245287311,
                NaN,
                0.00017952799874230407,
                6.605213645925017e-05,
                9.610240228096866e-05
            ],
            [
                6.605213654959562e-05,
                0.00010889693319966522,
                3.535624646947797e-05,
                0.9968273167061297,
                1.4738980211920955e-05,
                5.1442213173315364e-05,
                8.481103031100926e-05,
                1.6701417859944398e-05,
                7.4846218032397e-05,
                0.00010889688286529814
            ],
            [
                0.9796676459895064,
                NaN,
                2.144494073796001e-05,
                0.00043055702919363257,
                0.0003353502888177619,
                2.430024651705481e-05,
                7.484625375785435e-05,
                0.9933071499332358,
                0.00020342706800490753,
                2.4300237806931815e-05
            ],
            [
                6.605216811571998e-05,
                5.144223174095801e-05,
                5.1442207347770335e-05,
                0.000108896921436439,
                3.5356250638847714e-05,
                4.539787393501518e-05,
                9.610240322624624e-05,
                4.539786821953876e-05,
                1.8925145970336176e-05,
                3.5356242238628006e-05
            ],
            [
                4.539786858319682e-05,
                1.012999580884213e-05,
                1.3007131559390956e-05,
                4.539788482296012e-05,
                6.605212026531429e-05,
                5.829125130450534e-05,
                0.00020342699317901832,
                1.1478773595657069e-05,
                3.120191134788212e-05,
                2.7535681240079227e-05
            ],
            [
                1.1478765386623071e-05,
                NaN,
                4.5397878656295196e-05,
                0.00012339463333689376,
                9.610241393892672e-05,
                2.7535697655983693e-05,
                2.1444948361622855e-05,
                1.4738988990369329e-05,
                3.1201911346293e-05,
                1.473897844934719e-05
            ],
            [
                0.0002305067390626645,
                1.4738976697229395e-05,
                5.144221966244559e-05,
                5.144221973879711e-05,
                0.00043055700697346085,
                0.00010889694735546742,
                4.0063711205213854e-05,
                8.481104079680289e-05,
                1.473898722977843e-05,
                2.1444945827162874e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                4.539785231635491e-05,
                NaN,
                6.605217554615506e-05,
                0.00017952798538972372,
                0.00020342689527381438,
                3.5356254507245396e-05
            ],
            [
                5.8291272412811914e-05,
                6.605215227306636e-05,
                0.9982992774717516,
                2.4300237830711845e-05,
                3.120190758167528e-05,
                0.00017952796352722637,
                3.5356238040705445e-05,
                NaN,
                1.0129989769962063e-05,
                0.9986749778377372
            ],
            [
                0.9997694932851432,
                0.9953904269317981,
                2.4300232011058275e-05,
                3.120191503327146e-05,
                4.0063692132141055e-05,
                2.753568451748946e-05,
                2.1444956075707356e-05,
                3.535625488822007e-05,
                1.300713466281145e-05,
                3.5356267531385634e-05
            ],
            [
                NaN,
                4.006368736948546e-05,
                4.006370637667922e-05,
                5.1442201034175235e-05,
                5.829125831911895e-05,
                0.00013982214035329548,
                NaN,
                2.753568114792148e-05,
                1.4738981967202704e-05,
                5.1442213526628236e-05
            ],
            [
                0.0015011821085879691,
                0.0017007226960562372,
                0.007577240483481803,
                7.484621825620178e-05,
                0.00017952802935764314,
                0.0006263342946299253,
                0.012431652911296076,
                0.0040701385011342305,
                0.00017952790031145147,
                0.0007096702515283976
            ],
            [
                0.00020342706529978628,
                0.00012339454386103924,
                0.0002305066843932401,
                0.00020342704239208718,
                0.00012339458792568113,
                0.00012339463286649722,
                0.00010889686974417332,
                0.00029595715393281535,
                8.481106126736618e-05,
                8.481102945087065e-05
            ],
            [
                3.535626334645077e-05,
                NaN,
                4.006369211844103e-05,
                4.0063711093573116e-05,
                5.829129308896798e-05,
                2.1444945830751543e-05,
                4.539788978337712e-05,
                NaN,
                3.535625905964875e-05,
                5.8291272118486444e-05
            ],
            [
                1.8925150466660388e-05,
                1.4738976694494812e-05,
                NaN,
                5.8291279317586125e-05,
                4.539786214271713e-05,
                6.605216037292109e-05,
                1.4738976694012237e-05,
                3.120191501306697e-05,
                0.020332353862085827,
                2.7535681228559507e-05
            ],
            [
                2.430023202582134e-05,
                0.9820137897418142,
                0.9924227596916029,
                0.9984988176092483,
                4.0063682603624035e-05,
                8.939700563248534e-06,
                0.9975273772074581,
                0.9980732654553233,
                NaN,
                0.0001233945739394691
            ],
            [
                5.829127930740772e-05,
                NaN,
                1.892514146884943e-05,
                5.8291250991519575e-05,
                1.0129987353832463e-05,
                4.5397863184146494e-05,
                3.1201911365248895e-05,
                3.1201918766788786e-05,
                2.753569109254574e-05,
                2.1444945823496187e-05
            ],
            [
                NaN,
                6.605215997693884e-05,
                8.481105106540349e-05,
                NaN,
                9.610238988608712e-05,
                2.7535700880905993e-05,
                2.1444958453905248e-05,
                NaN,
                8.481106061948538e-05,
                NaN
            ],
            [
                1.300713311155064e-05,
                1.670141785420273e-05,
                2.43002320236113e-05,
                1.8925157257965367e-05,
                5.144221345401945e-05,
                6.605212834161763e-05,
                NaN,
                1.8925141457627214e-05,
                7.484624495540762e-05,
                3.12019187926687e-05
            ],
            [
                NaN,
                NaN,
                1.4738978412349873e-05,
                1.892515274614874e-05,
                1.892514371900746e-05,
                1.892515048042999e-05,
                5.144223191200042e-05,
                0.0001088969081822127,
                NaN,
                NaN
            ],
            [
                2.430024360395595e-05,
                0.9993736658785074,
                0.9986749774324355,
                0.9984988174036893,
                0.997199072440442,
                0.999860177912781,
                8.481102086552792e-05,
                0.999903897587409,
                0.999620015521309,
                0.9999038976199792
            ],
            [
                0.9995694429699672,
                9.610244861216628e-05,
                9.610240294098498e-05,
                5.8291258493848154e-05,
                0.0001584361966085309,
                5.8291251531398806e-05,
                3.120190017071685e-05,
                NaN,
                4.539785225029534e-05,
                3.535624226936835e-05
            ],
            [
                NaN,
                1.8925143717561654e-05,
                4.006368222410409e-05,
                1.6701423829123058e-05,
                NaN,
                NaN,
                NaN,
                4.5397868549836734e-05,
                2.7535681143113246e-05,
                4.006370646121136e-05
            ],
            [
                1.8925152741191683e-05,
                4.0063687383622725e-05,
                1.89251527371985e-05,
                5.8291265088603576e-05,
                2.7535703867220046e-05,
                5.82912653227068e-05,
                NaN,
                4.0063677771303476e-05,
                NaN,
                4.006369209745375e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                4.5397852355660356e-05,
                6.605216815416487e-05,
                7.484622693557993e-05,
                0.9940889323832933,
                4.539786857361818e-05,
                3.5356242231939725e-05
            ],
            [
                5.144221973505439e-05,
                0.998299277508515,
                0.0001233945445504749,
                4.0063711186267e-05,
                0.9980732654427866,
                4.006368736453013e-05,
                2.7535700926183532e-05,
                7.48462628538078e-05,
                4.006368251413662e-05,
                1.8925143723000643e-05
            ],
            [
                9.610240270746225e-05,
                9.610239084534798e-05,
                4.539785734613091e-05,
                NaN,
                7.484620040083068e-05,
                3.1201918779615236e-05,
                7.484622698731097e-05,
                5.144219508512183e-05,
                4.006369687293547e-05,
                NaN
            ],
            [
                2.7535691082027735e-05,
                0.9999546021212136,
                0.9997694932022169,
                1.6701427813872793e-05,
                0.9820137911893858,
                0.9992903295267213,
                0.9995121428674824,
                0.9999785550416141,
                4.006370640437078e-05,
                0.9796676463234238
            ],
            [
                0.00033535001984502796,
                NaN,
                5.829127881672385e-05,
                0.00029595702211661183,
                0.00010889688244857843,
                0.00015843625301871863,
                7.484619857390898e-05,
                0.0017007227091013653,
                0.0002611903024904775,
                0.0005527787547832878
            ],
            [
                3.1201918779615236e-05,
                2.4300232032009452e-05,
                2.753569761591508e-05,
                5.8291265374447014e-05,
                4.539786686994128e-05,
                4.006368256747928e-05,
                3.12019262070368e-05,
                NaN,
                0.997199072753894,
                7.484620931490225e-05
            ],
            [
                3.535625904858737e-05,
                NaN,
                2.1444948364587412e-05,
                6.605217593396786e-05,
                4.006370151724721e-05,
                2.4300246500523706e-05,
                5.144220112549761e-05,
                1.8925150485318196e-05,
                2.753568780461672e-05,
                3.288749455331158e-06
            ],
            [
                0.00015843619644486274,
                8.939693102280066e-06,
                7.48462175956782e-05,
                0.00017952794256326186,
                8.481101075735849e-05,
                6.605214453603606e-05,
                5.8291286115912004e-05,
                3.53562674909987e-05,
                NaN,
                6.605212884908979e-05
            ],
            [
                3.5356259015917694e-05,
                5.829129300372383e-05,
                2.1444940688420764e-05,
                7.484624484541108e-05,
                4.006370647374544e-05,
                1.6701423824262386e-05,
                4.0063682416487474e-05,
                0.0001795280483338797,
                NaN,
                4.006369208491967e-05
            ],
            [
                5.82912507591128e-05,
                4.0063706207906416e-05,
                3.535623800597785e-05,
                4.0063692035949344e-05,
                5.829128559554106e-05,
                NaN,
                8.939697368663308e-06,
                9.610241368163221e-05,
                NaN,
                0.00013982203988064398
            ],
            [
                1.89251482286188e-05,
                3.1201911303159835e-05,
                2.4300246442709038e-05,
                4.5397890039027863e-05,
                3.120191121598542e-05,
                7.484626278192885e-05,
                8.481103106008262e-05,
                5.8291272311027895e-05,
                5.1442231929965494e-05,
                8.481105120978835e-05
            ],
            [
                NaN,
                8.481106120566323e-05,
                0.00023050668147565987,
                0.9999687980780002,
                NaN,
                2.1444950940863522e-05,
                7.484624477679936e-05,
                0.00023050679080110597,
                0.00020342693242924808,
                0.000261190324651066
            ],
            [
                0.00026119030632070254,
                0.0001233945291818058,
                0.00010889688260544249,
                0.0001088968960910006,
                0.0002305066281946146,
                9.610243765756909e-05,
                5.1442195149496606e-05,
                0.00026119033491059845,
                0.00010889694796391029,
                0.999903897585457
            ],
            [
                2.7535700923478902e-05,
                0.0002611903348270022,
                7.484620914609577e-05,
                2.1444950959977102e-05,
                1.1478769493331685e-05,
                6.605216810274483e-05,
                5.144223196776698e-05,
                0.9993736659702133,
                8.481101087089185e-05,
                2.753568451748946e-05
            ]
        ]
    },
    {
        "q_id": "10448_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9859363749454443,
                0.9995121429524331,
                0.9998204720558198,
                0.9706877682946816,
                0.9982992773750989,
                0.9986749772890163,
                0.9959298615309548,
                0.9984988174192196,
                0.9971990724599514,
                0.9998601778929741
            ],
            [
                0.9999852610110108,
                0.9995694430160734,
                0.999512142951014,
                0.9997965730029439,
                0.9996646497318664,
                0.9997965730760205,
                0.9997040429726479,
                0.9241418168448761,
                0.9991959139819685,
                0.9984988179634798
            ],
            [
                6.144176798590883e-06,
                2.2603251060985603e-06,
                5.422217029736466e-06,
                1.1478764015736973e-05,
                1.0129995807441742e-05,
                5.422220261544064e-06,
                3.726640610953089e-06,
                1.012999339031569e-05,
                3.7266392829528392e-06,
                6.962258737472841e-06
            ],
            [
                0.999964643740925,
                0.9997694932333444,
                0.9997040428757576,
                0.9999151889891654,
                0.9999417087345128,
                0.9999151889587602,
                0.9964063982547748,
                0.9998911031043654,
                0.9980732655072609,
                0.9997388096305185
            ],
            [
                0.8670357598021707,
                0.9999810748495105,
                0.9940889322656331,
                0.9796676486979474,
                0.9840936109706006,
                0.9992903295435629,
                0.9975273771138506,
                0.9890130590088411,
                0.9890130551733742,
                0.9975273772126265
            ],
            [
                0.9324533107374444,
                0.9968273164218969,
                0.9996646498913104,
                0.9975273768238397,
                0.999290329711527,
                0.9986749774116389,
                0.9996200155161462,
                0.9990889487973342,
                0.999088948999142,
                0.9947798752156551
            ],
            [
                0.9465966750964616,
                NaN,
                0.9999785550413659,
                0.9988304897565667,
                0.9994472214607086,
                0.9947798747054316,
                0.9997040429038208,
                0.9996646497723958,
                0.9999151889284529,
                0.9999485577682174
            ],
            [
                0.999769493204182,
                0.9999151889789851,
                0.9984988176549668,
                0.9995694429652702,
                0.9989677688226742,
                0.998830489476292,
                0.9998415638402215,
                0.9914225154574753,
                0.9994472214580716,
                0.990291525040696
            ],
            [
                0.9953904274979984,
                0.9978172836063784,
                0.997817283690556,
                0.9999417087344962,
                0.9997388097247163,
                0.9990889487889631,
                0.9978172832975581,
                0.9996200154741048,
                0.9991959138813273,
                0.9992903294623673
            ],
            [
                0.9982992772130233,
                0.9975273770363229,
                0.9998911030780644,
                0.999891103117,
                0.9999339478711452,
                0.9982992777522217,
                0.9988304894716684,
                0.999512142829165,
                0.9875683483921738,
                0.9991959140025456
            ],
            [
                0.9995694428616595,
                0.999373665832782,
                0.9999417087553695,
                0.9997965729306277,
                0.999841563764616,
                0.9999546021368159,
                0.9991959139708381,
                0.9997965730276775,
                0.9999251537908049,
                0.9998911030778569
            ],
            [
                6.144177531208195e-06,
                4.45084945809282e-07,
                3.2887506333394084e-06,
                1.5534973841450852e-06,
                2.260324028255194e-06,
                5.04347408156499e-07,
                6.962256248314727e-06,
                0.9978172835571902,
                2.2603248367512505e-06,
                3.7266410603195545e-06
            ],
            [
                0.9997388096607576,
                0.9924227569602827,
                0.9964063982614445,
                0.9975273771178705,
                0.9964063976536817,
                0.9990889489036158,
                0.9914225136121421,
                2.1444953513707305e-05,
                0.9984988175788856,
                0.9986749773849886
            ],
            [
                0.9989677690709242,
                0.9947798733706286,
                0.9990889490178976,
                0.9997965729787044,
                0.9980732654432343,
                0.9997388096300018,
                0.9998601779096806,
                0.9999038975394697,
                0.9995121429445142,
                0.9986749777597886
            ],
            [
                2.5612831266165976e-06,
                1.7603430033991435e-06,
                1.2098653950205268e-06,
                1.4738987228491566e-05,
                2.2603248367512505e-06,
                2.2603242977308917e-06,
                1.5534979397140412e-06,
                4.222834450743383e-06,
                2.5612812944538183e-06,
                4.2228324372555256e-06
            ],
            [
                0.998967768816432,
                0.9971990725893641,
                0.9989677688237547,
                0.9924227589247322,
                0.9988304897524871,
                0.9890130586850022,
                0.9999832985721915,
                0.9986749778799464,
                0.9465966643622961,
                0.9988304897565667
            ],
            [
                6.9622537570932415e-06,
                4.785092782501357e-06,
                3.120191507629113e-05,
                2.9023123310290063e-06,
                1.1478765385432939e-05,
                4.222832436955956e-06,
                8.939696302457574e-06,
                3.2887482809455384e-06,
                4.7850950647493785e-06,
                1.3007128455024825e-05
            ],
            [
                1.5534971989258068e-06,
                6.96225375833433e-06,
                5.043472879185794e-07,
                5.422218969306048e-06,
                4.222833947498071e-06,
                1.994730434735237e-06,
                4.222833947428939e-06,
                2.2603237586397375e-06,
                1.994729959019382e-06,
                1.5534981247907057e-06
            ],
            [
                0.9975273770908795,
                0.999290329716563,
                0.9997965730762041,
                0.9998911030779789,
                0.9998415637079753,
                0.9988304895533983,
                0.9997965731003045,
                0.9996200155186005,
                0.9984988176514769,
                0.9968273170713614
            ],
            [
                0.9978172831327525,
                0.9975273762777004,
                0.999954602131396,
                0.9995121427686521,
                0.999512142826866,
                0.9998911030650874,
                0.9971990736695374,
                0.9996646500117374,
                0.9998911031298787,
                0.9947798731239801
            ],
            [
                0.9940889324845359,
                0.9933071493078959,
                0.9924227596285723,
                0.9964063978787789,
                0.9978172833999912,
                0.9796676485495398,
                0.9875683513993012,
                0.998073265385476,
                0.997199072865748,
                0.9902915235901575
            ],
            [
                0.9953904274702225,
                0.9465966683169887,
                0.9986749775978836,
                0.999088949002427,
                0.9996646498547033,
                0.9959298631901476,
                0.9933071481222264,
                0.9998601778763329,
                0.9993736659889771,
                0.9984988174204411
            ],
            [
                0.9997965730031214,
                0.9982992777095286,
                0.999915188948652,
                0.9996646499323082,
                0.9994472212609099,
                0.9999417087484398,
                0.9986749777440757,
                0.9999756997476957,
                0.9991959141644975,
                0.9999485577741191
            ],
            [
                0.9975273773952472,
                0.9914225127330347,
                0.999088948800672,
                0.00029595716304318747,
                0.9975273773751475,
                0.9953904276005555,
                0.9992903294802823,
                0.9993736657021638,
                0.0002611903988844915,
                0.966914022326357
            ],
            [
                6.605216009227347e-05,
                6.962255418658875e-06,
                1.892515048449202e-05,
                0.9971990736038555,
                9.610240298293514e-05,
                6.605214450431904e-05,
                0.9988304895649573,
                0.20181321505933414,
                0.029312233295254998,
                0.9999038975854319
            ],
            [
                0.047425875870305605,
                0.9579122680292479,
                0.9820137871756643,
                0.9933071496236615,
                0.9971990725666031,
                0.9626731151992686,
                0.9859363762368012,
                0.9859363747259137,
                0.9995121429421017,
                0.9997040428315234
            ],
            [
                0.9988304894919309,
                0.9992903294657108,
                0.9940889316882769,
                0.9978172838046521,
                0.9933071503449694,
                0.9890130551531343,
                0.9984988174082263,
                0.9986749778739386,
                0.9875683477861747,
                0.9525741266541371
            ],
            [
                0.9997388097232875,
                0.9996646498917788,
                0.9924227586866172,
                0.9999038975966157,
                0.9990889490095265,
                0.9996200154722146,
                0.9986749774290464,
                0.994088931918125,
                0.9999485577741262,
                0.9998204720135393
            ],
            [
                0.9579122755387536,
                0.9924227599052059,
                0.9982992773553336,
                0.9989677689328742,
                0.962673116404036,
                0.9669140180359896,
                0.9820137935910384,
                0.9902915236886508,
                0.9740426442621272,
                0.9968273169343995
            ],
            [
                0.20181322706107543,
                0.998674977780123,
                0.9995694429702552,
                0.03732688640708807,
                0.9399133487740404,
                0.9984988176834101,
                0.07585817323116975,
                0.9996200155677613,
                0.9968273166170308,
                6.605214434717565e-05
            ],
            [
                0.9998415637080859,
                0.9947798753510699,
                0.9706877682946817,
                0.9992903294588587,
                0.9997388096312861,
                0.9991959138886229,
                0.9968273177348164,
                0.9994472212776965,
                0.9971990735700391,
                0.9997388095679886
            ],
            [
                2.5612822104977725e-06,
                1.7603440524628877e-06,
                3.726639283040963e-06,
                4.785094493419144e-06,
                9.422450431800595e-07,
                2.561283126535066e-06,
                2.9023109469023766e-06,
                2.5612819053586272e-06,
                2.902312330849511e-06,
                1.7603430033799313e-06
            ],
            [
                1.3709576970949014e-06,
                2.5612815999423112e-06,
                7.33820718037422e-07,
                1.7603425837062577e-06,
                5.422220262037209e-06,
                3.2887478889034873e-06,
                2.260323758598623e-06,
                9.422443692090534e-07,
                3.7266388394569345e-06,
                1.370957697068717e-06
            ],
            [
                2.5612831264302397e-06,
                9.42244256915735e-07,
                1.067702742683591e-06,
                9.422449308335287e-07,
                2.902311984915459e-06,
                9.422445938111562e-07,
                9.422448184801556e-07,
                1.9947301969217434e-06,
                2.5612825157045092e-06,
                3.7266383953679482e-06
            ],
            [
                3.2887486729876365e-06,
                8.315282258385822e-07,
                5.422220261544064e-06,
                7.338212428212751e-07,
                2.1444945835198374e-05,
                1.0129995805359584e-05,
                6.962255415644799e-06,
                6.144176065012512e-06,
                4.7850967749455485e-06,
                9.422449307512599e-07
            ],
            [
                0.9978172833310264,
                0.9995121428295339,
                0.9984988176322821,
                0.9999546021422242,
                0.9998601779597145,
                0.9994472213925655,
                0.9933071479302903,
                0.9953904272010103,
                0.999948557774106,
                0.9964063974352538
            ],
            [
                5.715007195119775e-07,
                1.994729483508644e-06,
                3.0590219044283614e-07,
                5.422217029844958e-06,
                2.9023116388969785e-06,
                4.785096775998733e-06,
                2.9023126769762986e-06,
                2.5612834317908303e-06,
                1.0677031245623505e-06,
                5.422217676101776e-06
            ],
            [
                6.962254588433232e-06,
                1.300713311155064e-05,
                1.4738983714656244e-05,
                1.4738985474174337e-05,
                8.939695236593446e-06,
                1.4738987235622935e-05,
                7.889261638546534e-06,
                4.539789017213801e-05,
                4.78509563466093e-06,
                1.4738987240475486e-05
            ],
            [
                0.998498817587785,
                0.9968273173681121,
                0.9986749777302112,
                0.9988304896249288,
                0.9999485578047951,
                0.9999038976081129,
                0.9999151889891026,
                0.9994472212626143,
                0.9997040429034418,
                0.9980732657911271
            ],
            [
                0.9626731160024469,
                0.9914225147050864,
                NaN,
                0.946596670011857,
                5.14422135082889e-05,
                4.539787931391861e-05,
                0.996406397167638,
                0.9959298614573387,
                0.9988304897824049,
                0.03308598196401031
            ],
            [
                0.999841563821259,
                0.9978172831606427,
                0.999769493231292,
                0.999088948800672,
                0.999796573076065,
                0.9998204720556789,
                0.9995121428305274,
                0.9997965730512927,
                0.999738809660978,
                0.9993736658369718
            ],
            [
                0.9999832985841344,
                0.9988304899159467,
                0.9975273762742547,
                0.9993736657626089,
                0.9995694429665227,
                0.999796573027361,
                0.9980732650331058,
                0.9998415638030457,
                0.9999151889385346,
                0.9988304897586067
            ],
            [
                0.9984988179235197,
                0.9890130556186528,
                0.9924227595935554,
                0.9992903295408386,
                0.9992903295504152,
                0.9959298619311242,
                0.9995694429631032,
                0.994088930815402,
                0.9984988180788231,
                0.9978172834197678
            ],
            [
                1.2098661160436029e-06,
                1.1478770859019436e-05,
                3.7266406163624873e-06,
                1.1478769486170011e-05,
                9.422443692090534e-07,
                1.3007126905042372e-05,
                2.9023119846303784e-06,
                1.300713155082621e-05,
                8.939695236398313e-06,
                6.9622579092224155e-06
            ],
            [
                0.9933071482863007,
                0.9997388097558368,
                0.9990889486784958,
                0.9988304897837648,
                0.9997388095673958,
                0.996827316846037,
                0.9990889488940261,
                0.9959298625427039,
                0.9968273171972779,
                0.9669140191085815
            ],
            [
                0.9986749773065777,
                0.9990889489019203,
                0.9914225132874267,
                0.9998415637273733,
                0.9993736657552127,
                0.9995694429153311,
                0.997817284020167,
                0.99929032954282,
                0.999290329716563,
                0.9988304897741095
            ],
            [
                0.9993736659819088,
                0.9968273171751872,
                0.9991959138882955,
                0.9999251537729087,
                0.9997965729307668,
                3.120192251336002e-05,
                0.9999485577741718,
                0.9968273178710418,
                0.9975273762656405,
                0.9998766054548983
            ],
            [
                2.90231198483099e-06,
                2.5612834315811786e-06,
                1.553498495295912e-06,
                2.5612822104232297e-06,
                3.0590226338490835e-07,
                1.3709572067955008e-06,
                4.4508521108475657e-07,
                4.222835457664342e-06,
                3.726639283440905e-06,
                3.4663270374490014e-07
            ],
            [
                3.726638395215427e-06,
                6.962258738435319e-06,
                2.9023119850527192e-06,
                1.9947290080343035e-06,
                4.785092782936557e-06,
                2.5612815998491325e-06,
                3.7266383936427712e-06,
                2.90231094702116e-06,
                1.994730434735237e-06,
                7.338208055302923e-07
            ],
            [
                0.9924227586971223,
                0.9989677690928921,
                0.9706877682416839,
                0.9988304895102895,
                0.9999151889183269,
                0.9964063967599616,
                0.9988304896235689,
                0.998073265316972,
                0.9998415637081411,
                0.9990889486698069
            ],
            [
                4.785096205512581e-06,
                4.222835457280279e-06,
                3.7266392838544054e-06,
                2.902311984989368e-06,
                5.715007194917061e-07,
                4.785095064601411e-06,
                2.2603245671202796e-06,
                3.288750241410738e-06,
                4.7850967757637256e-06,
                5.4222202617511845e-06
            ],
            [
                0.9953904281560727,
                0.9975273773510278,
                0.9984988180734137,
                0.9975273772907284,
                0.9980732655090518,
                0.999796572954595,
                0.9968273168364644,
                0.9924227592363829,
                0.9984988177528604,
                0.9465966722716813
            ],
            [
                2.902313022984344e-06,
                1.994730672439908e-06,
                1.553497384058899e-06,
                5.422217676200406e-06,
                1.9947301970287804e-06,
                3.726637950851956e-06,
                3.7266410604686857e-06,
                3.28875024092319e-06,
                1.76034258364702e-06,
                1.2098656834195822e-06
            ],
            [
                0.9980732657360553,
                0.9999339478396944,
                0.9626731129235967,
                0.9875683490553426,
                0.9993736659773544,
                0.9995121429424423,
                0.9959298613629591,
                0.9933071497320126,
                0.9982992779799185,
                0.9994472213991579
            ],
            [
                0.9984988174696497,
                0.9996646497754399,
                0.9991959141583243,
                0.9984988177772901,
                0.9975273769702808,
                0.9998911030911317,
                1.4738987238893715e-05,
                7.484626267846674e-05,
                0.00012339458828835315,
                0.9953904281774388
            ],
            [
                0.9999417087415261,
                0.9980732652838393,
                0.9998415637080582,
                0.9992903296434167,
                0.9992903295486403,
                0.9999417087275694,
                0.9997694932304335,
                0.9997694932582344,
                0.9902915220232175,
                0.9996646497713518
            ],
            [
                2.9023116390421582e-06,
                3.7266406160032166e-06,
                2.9023116389365734e-06,
                1.5534973840984598e-06,
                3.7266379509129646e-06,
                4.222834450236421e-06,
                5.4222170296279735e-06,
                4.785096205260165e-06,
                5.422218322348809e-06,
                6.144175332887123e-06
            ],
            [
                0.9999417087136822,
                0.9993736659364384,
                0.9995121429488568,
                0.9999417087136733,
                0.9999599362887301,
                0.9998911031298249,
                0.9997388096617151,
                0.9992903296336336,
                0.9992903296369359,
                0.9997388096613428
            ],
            [
                6.96225790542316e-06,
                6.962257908044647e-06,
                5.4222183209778656e-06,
                6.962253758017727e-06,
                2.561282210460501e-06,
                2.902313368897403e-06,
                3.7266388375114506e-06,
                2.561283126535066e-06,
                5.422218969384951e-06,
                1.1478770860481005e-05
            ],
            [
                0.9994472213311112,
                0.9999485577679873,
                0.9988304896632779,
                0.9986749778894974,
                0.9996646497312811,
                0.9995121429455076,
                0.999860177859604,
                0.9964063979046235,
                0.9997965730030326,
                0.9996646497714592
            ],
            [
                0.9998766054550079,
                0.9998204720346026,
                0.9997388096615633,
                0.9999417087484173,
                0.9997388096300779,
                0.9399133552961427,
                0.9999038975852738,
                0.9999151889891938,
                0.9999417087136911,
                0.9994472213341341
            ],
            [
                0.9902915237602823,
                0.9997694933132795,
                0.9993736658295757,
                0.9986749774178009,
                0.998674977430741,
                0.9997388096920226,
                0.9998911031299073,
                0.0006263340963163217,
                0.9978172838355849,
                0.998299277872395
            ],
            [
                0.9994472212713613,
                0.9996646497710006,
                0.9990889486889334,
                0.9994472213933372,
                0.999373665983694,
                0.9990889488289113,
                0.9875683520510359,
                0.9980732654674122,
                0.9996200155617031,
                0.9998204720774969
            ],
            [
                0.9996646498923643,
                0.9971990726348862,
                0.996827317139106,
                0.9980732652350358,
                0.9399133525610676,
                0.9875683465398745,
                0.9968273168585551,
                0.9986749774003933,
                0.9579122696813394,
                0.9994472213244222
            ],
            [
                8.939696303010449e-06,
                3.7266401722360055e-06,
                1.2098656834613962e-06,
                1.2098662601804873e-06,
                1.4738978449883382e-05,
                1.994729245878497e-06,
                7.88926540454376e-06,
                1.7603430032918752e-06,
                6.962253756460032e-06,
                8.315284241174449e-07
            ],
            [
                2.5612819047646128e-06,
                1.3007130010117919e-05,
                1.994729245722476e-06,
                1.4738981964843453e-05,
                3.7266406160032166e-06,
                5.422220908402905e-06,
                1.3007131559816827e-05,
                1.3007126909159127e-05,
                6.962259568230874e-06,
                1.1478768123551712e-05
            ],
            [
                0.9986749777433054,
                0.9994472213933372,
                0.9990889486768004,
                0.9986749778955053,
                0.9994472213339732,
                0.9996200154778857,
                0.9996646498942863,
                0.9947798755396833,
                0.9914225163761818,
                0.9992903295550385
            ],
            [
                0.9241418158002492,
                0.998674977405785,
                0.9995694429703554,
                0.989013059555319,
                0.9991959141874597,
                0.991422516027707,
                0.9964063966982681,
                0.9989677689086254,
                0.993307149667002,
                0.9902915232857235
            ],
            [
                0.9996646498145155,
                0.9988304895138252,
                0.9959298625559171,
                0.9991959138806725,
                0.9995121428844838,
                0.9991959140675041,
                0.9996646497320909,
                0.9997040428317042,
                0.9984988176088994,
                0.993307149233598
            ],
            [
                4.785096205173126e-06,
                1.5534979392661533e-06,
                6.962257908044647e-06,
                8.939695235959266e-06,
                8.939699482862759e-06,
                6.962255419051463e-06,
                7.338208054962546e-07,
                7.889263523869684e-06,
                4.785096205512581e-06,
                8.315279284657531e-07
            ],
            [
                3.726641061027928e-06,
                2.5612834309848352e-06,
                6.962254588116627e-06,
                3.2887478888496478e-06,
                3.726638393398738e-06,
                1.8925143721072897e-05,
                9.422450431474948e-07,
                2.902313368860448e-06,
                1.5534979396815448e-06,
                2.561283431669698e-06
            ],
            [
                0.9999485577863929,
                0.999664649851708,
                0.9997694932580667,
                0.9989677688215939,
                0.9996200154246788,
                0.999704042831153,
                0.9998911031167924,
                0.9991959142553177,
                0.9993736657556134,
                0.999373665974804
            ],
            [
                1.994729959224386e-06,
                1.553498495308628e-06,
                2.9023126770343703e-06,
                1.2098655392090423e-06,
                5.715003788749385e-07,
                3.28874945711983e-06,
                4.785096204972935e-06,
                4.7850944943330625e-06,
                2.902311292960369e-06,
                1.370957697068717e-06
            ],
            [
                0.9999417087137051,
                0.9953904269446177,
                0.9968273164049608,
                0.9992903297219292,
                0.997817283803638,
                0.9997388096299258,
                0.9997388097864178,
                0.9996646497719275,
                0.9998766053958977,
                0.9988304897919242
            ],
            [
                0.9796676465089335,
                0.9990889487037682,
                0.9989677689040638,
                0.9971990727155253,
                0.9995694429178863,
                0.9994472212621641,
                0.9984988179378286,
                0.9999687980849379,
                0.9999038975971289,
                0.9999485577619297
            ],
            [
                0.9959298628088542,
                0.9995121428842284,
                0.9999339478475612,
                0.9991959138809999,
                0.9975273772602916,
                0.9975273770725026,
                0.9997965729794325,
                0.999447221264801,
                0.9984988177528604,
                0.9995121428855623
            ],
            [
                0.994779875070568,
                0.904650530602188,
                0.9924227571388691,
                0.999290329542077,
                0.9984988179212513,
                0.9820137912880839,
                0.9947798751890559,
                0.999373665974804,
                0.5,
                0.999876605469714
            ],
            [
                0.9988304896577024,
                0.9988304897795491,
                0.9997388097224972,
                0.9996646499717837,
                0.9991959140607231,
                0.9999785550541551,
                0.9997388097860379,
                0.9999251537371195,
                0.9999417087067576,
                0.9975273770633141
            ],
            [
                0.9959298618518454,
                0.9999038975401829,
                0.9995121429068213,
                6.605212855402547e-05,
                0.9959298628220674,
                0.9984988174415556,
                0.9995694429670988,
                0.999704042973578,
                0.9968273174859287,
                0.999891103090875
            ],
            [
                0.9975273774279811,
                0.9999038975622753,
                0.9992903297168106,
                0.9982992774338021,
                0.9996646499319568,
                0.9999417087067435,
                0.9971990735238668,
                0.9971990726966662,
                0.9980732652439906,
                0.9986749778859543
            ],
            [
                2.9023123307122503e-06,
                5.422217676486429e-06,
                1.0677032518316716e-06,
                4.222833947282995e-06,
                7.338210679695891e-07,
                2.561283431669698e-06,
                1.4738976694977387e-05,
                4.2228324372555256e-06,
                6.475947981554521e-07,
                1.3007133109421283e-05
            ],
            [
                0.99539042778644,
                0.9995694429164084,
                0.9875683484264757,
                0.9991959139643376,
                0.9999832985761689,
                0.9933071489580769,
                0.9986749772697602,
                0.99986017786067,
                0.9982992779656874,
                0.9933071497320126
            ],
            [
                0.9994472213288923,
                0.9914225161861048,
                0.9990889486859663,
                0.998299277618608,
                0.9875683504617178,
                0.9953904282821324,
                0.9947798740090126,
                0.9953904276732001,
                0.9859363754878142,
                0.9964063972410031
            ],
            [
                3.288750241042834e-06,
                2.561283126160022e-06,
                2.2603240281236263e-06,
                1.5534981248712412e-06,
                5.043472277838052e-07,
                7.88926070328992e-06,
                2.260325105911487e-06,
                3.7266406165319545e-06,
                2.260324028255194e-06,
                3.2887498491620677e-06
            ],
            [
                0.9796676443941232,
                0.9982992779698382,
                0.92414182206801,
                0.9997965731003045,
                0.9997040428674223,
                0.9924227596881011,
                0.9988304895021302,
                0.997199072842987,
                0.9959298613705095,
                0.9998911030519679
            ],
            [
                0.9924227602413683,
                0.998674977764102,
                0.9991959142080836,
                0.9995694428184466,
                0.9995694428633755,
                0.8933094010836642,
                0.9982992772539374,
                0.9968273176125816,
                0.9990889489269278,
                0.9980732657069522
            ],
            [
                0.9995694429633788,
                0.9986749774159522,
                0.9998766054399821,
                0.9959298620443797,
                0.9998911031299073,
                0.999820472034391,
                0.9465966752847802,
                0.9940889298741196,
                0.0019267342603628375,
                0.9964063970167394
            ],
            [
                0.9993736658292114,
                0.9997040427611892,
                0.9975273774073071,
                0.9989677690772865,
                0.9975273763598222,
                0.9993736658325634,
                0.9998601779428534,
                0.9997965730758843,
                0.9978172833634804,
                0.9992903297188745
            ],
            [
                9.422448185015797e-07,
                1.2098655392574583e-06,
                4.785093353187292e-06,
                1.7603436329714805e-06,
                1.9947299590810645e-06,
                4.222832940339353e-06,
                4.785093923324944e-06,
                3.2887494570719725e-06,
                1.9947290079889487e-06,
                3.2887482810382622e-06
            ],
            [
                0.999620015425917,
                0.9992903295584233,
                0.9982992779840693,
                0.9947798731892694,
                0.9998601779431443,
                0.9859363708518423,
                0.9840936061889035,
                0.9968273171994869,
                0.9986749777266681,
                0.9996200154270225
            ],
            [
                3.726639727994339e-06,
                1.1478770858706246e-05,
                3.7266397276757403e-06,
                1.1478769484332614e-05,
                7.889259761905808e-06,
                8.939693105076969e-06,
                1.0677026152337119e-06,
                6.144173136131494e-06,
                1.1478769489009626e-05,
                6.144173135896795e-06
            ],
            [
                0.999373665756415,
                0.9999038975854067,
                0.9996646498927155,
                0.9995121429445142,
                0.99849881780172,
                0.9997388097236524,
                0.9986749776111318,
                0.9994472213307897,
                0.9990889488870324,
                0.9996200154713191
            ],
            [
                0.9998204719486806,
                0.9986749774090201,
                0.9986749778790222,
                0.9996646499318398,
                0.9964063972226618,
                0.9997694932867596,
                0.9991959138866119,
                0.9924227598947009,
                0.9902915247541698,
                0.97404264440341
            ],
            [
                0.9999599363126097,
                0.9968273176530811,
                0.9999038975968478,
                0.9999646437579541,
                0.999948557774106,
                0.9997694933723688,
                0.9999251537463113,
                0.999796572955921,
                0.9997388097246402,
                0.9997965729562228
            ],
            [
                0.9959298621010074,
                0.9998766053959677,
                0.9998766054252419,
                0.9999038975622753,
                0.999088948891589,
                0.9999339478475612,
                0.9998601778929966,
                0.9998415637268017,
                0.9992903294667016,
                0.9989677687272397
            ],
            [
                0.9971990732266729,
                0.9995694429167966,
                0.999704043008745,
                0.9978172833589166,
                0.9989677691884468,
                0.999569442968865,
                0.9971990732839007,
                0.999290329714788,
                0.9995121428888832,
                0.989013059555319
            ],
            [
                0.9995694428646406,
                0.9992903297276258,
                0.9964063975611416,
                0.9996646497310566,
                0.999796573028391,
                0.9997040428322638,
                0.9995694430149461,
                0.9989677687512484,
                0.9989677688226742,
                0.9968273167053933
            ],
            [
                0.9998601779596027,
                0.984093607092761,
                0.998830489635128,
                0.9999885212318964,
                0.9953904277864402,
                0.9953904283205913,
                0.9940889309002268,
                0.9990889488159838,
                0.996827316962381,
                0.9993736657524801
            ],
            [
                0.9982992779840693,
                0.999954602131396,
                0.9999339478239194,
                0.9998766054254321,
                0.9997965729302223,
                0.9992903294629039,
                0.9982992772130233,
                0.9996200155190648,
                0.9993736659085295,
                0.9996200154728114
            ],
            [
                0.9914225152594782,
                0.9997040429727341,
                0.9997040429717438,
                0.9995694429181868,
                0.9669140193469353,
                0.9980732657288914,
                0.9986749777791987,
                0.9999151889689127,
                0.9978172831418802,
                0.9820137930646488
            ],
            [
                0.9997965730275415,
                0.999860177943122,
                0.9991959138832914,
                0.9933071498063104,
                0.9998766054404974,
                0.9996200154737179,
                0.99966464977383,
                0.9999151889183009,
                0.9993736659857344,
                0.9999038975622536
            ],
            [
                0.9989677690901311,
                0.9997388097855211,
                0.9998911030520503,
                0.9740426409184301,
                0.9999417087414566,
                0.9997388096924633,
                0.9997694933681567,
                0.9998601778597159,
                0.9997388097552213,
                0.8519527982093666
            ],
            [
                7.889260702141888e-06,
                2.2603245672867952e-06,
                1.0677028698693545e-06,
                8.315283248842301e-07,
                2.5612812934614663e-06,
                4.7850933521167006e-06,
                1.2098656833491588e-06,
                6.9622554185195676e-06,
                5.422218969306048e-06,
                3.28875024125221e-06
            ],
            [
                0.9978172840541424,
                0.9995121428297894,
                0.9993736658379921,
                0.9982992772389158,
                0.9840936048476956,
                0.9999417087137005,
                0.9997694933400741,
                0.9984988178085255,
                0.9998601779764474,
                0.9999485577803072
            ],
            [
                4.785095064601411e-06,
                2.9023133686360798e-06,
                4.785096205260165e-06,
                2.260324028255194e-06,
                2.260323488974976e-06,
                8.481104028713676e-05,
                2.902312330601386e-06,
                3.1201903906162046e-05,
                9.422450430412309e-07,
                3.726639727994339e-06
            ],
            [
                1.3709576968904135e-06,
                7.889259763857458e-06,
                1.0129988562164371e-05,
                1.9947301968382903e-06,
                5.422217030121119e-06,
                1.1478773596575768e-05,
                6.962257907348116e-06,
                1.0129987342850476e-05,
                5.422219614705025e-06,
                7.338212428913528e-07
            ],
            [
                0.9997388095985924,
                0.9999852610215486,
                0.9998601778595816,
                0.9996200154286143,
                0.9998911030779662,
                0.9990889489162255,
                0.9996646498960328,
                0.9995694429727102,
                0.9999756997476967,
                0.9999151889689967
            ],
            [
                0.999088948791877,
                0.9997965729545506,
                0.9998766053667189,
                0.9996200155625875,
                0.9997694932311176,
                0.999876605396167,
                0.9995121428870384,
                0.9997694933133934,
                0.9998601779101078,
                0.9991959142495186
            ],
            [
                0.9998911031039359,
                0.9994472214636994,
                0.9997388096301462,
                0.9999251537906992,
                0.9999251537728369,
                0.9998204719704961,
                0.9997040429038208,
                0.999769493368794,
                0.9986749777217386,
                0.9997388097233559
            ],
            [
                0.9947798749375713,
                0.9984988175733016,
                0.9998766054547386,
                0.999290329713302,
                0.9997388095679126,
                0.9989677688206335,
                0.9999151889386623,
                0.9964063981480621,
                0.9999546021422182,
                0.9997965730764853
            ],
            [
                3.726637951079042e-06,
                2.2603242977802297e-06,
                1.3709567164663505e-06,
                4.785096205512581e-06,
                3.0590211750425905e-07,
                6.144175333155351e-06,
                1.7603438427467903e-06,
                5.422220261849814e-06,
                1.2098655389020405e-06,
                1.7603438427467903e-06
            ],
            [
                0.9924227585570545,
                0.9953904286111696,
                0.9953904285983498,
                0.9988304896262887,
                0.9996200154720597,
                0.9997965730273165,
                0.9975273764534298,
                0.9740426443092215,
                0.998073265075641,
                0.9984988179645269
            ],
            [
                0.9996200155636378,
                0.9991959139790222,
                0.999841563783749,
                0.9980732654544278,
                0.9990889488870324,
                0.9997040429038208,
                0.9998204719487824,
                0.9770226283755477,
                NaN,
                0.9991959139876272
            ],
            [
                0.9996200154316655,
                0.9992903295519839,
                0.9994472213451965,
                0.999620015565318,
                0.9999785550490534,
                0.9989677689481198,
                0.9840936085505955,
                0.9999546021151928,
                0.9999417087485322,
                0.9924227586270884
            ],
            [
                3.726637951079042e-06,
                2.561281599776919e-06,
                4.222835456581284e-06,
                8.93970056399654e-06,
                2.561282515886208e-06,
                6.962255418367598e-06,
                1.1478769485293071e-05,
                1.0129990977262395e-05,
                2.9023109469842055e-06,
                4.222832436687113e-06
            ],
            [
                0.9990889488960923,
                0.9999687980923594,
                0.9993736657557956,
                0.9989677691985304,
                0.9998911031171505,
                0.9999251537906383,
                0.9996200155631845,
                0.9984988174673812,
                0.9999546021313821,
                0.9996646497711177
            ],
            [
                2.9023126767836054e-06,
                2.260325375520937e-06,
                1.994729008056074e-06,
                1.994729245878497e-06,
                5.422217029736466e-06,
                5.422217676200406e-06,
                5.422221554581283e-06,
                7.3382106794623e-07,
                4.450848927478102e-07,
                2.9023123309287002e-06
            ],
            [
                0.9999417087275562,
                0.999915188968851,
                0.9986749774412162,
                0.9999251537550157,
                0.9997965730273165,
                0.9940889317320576,
                0.9998415638405649,
                0.999664649931147,
                0.9990889488957215,
                0.9989677688520849
            ],
            [
                0.9980732650608656,
                0.9998911031039359,
                0.9999038975966046,
                0.9994472212684671,
                0.00033535017436187573,
                0.9999810748585343,
                0.9995694429644184,
                0.9992903294771038,
                0.9997965730515561,
                0.9998911030908894
            ],
            [
                0.9990889489057351,
                0.9988304899344413,
                0.9999785550439243,
                0.9997694932588178,
                0.9997694933139233,
                0.9999646437408973,
                0.999738809785597,
                0.9998204720774264,
                0.999569442912563,
                0.9997965730520119
            ],
            [
                0.9989677690614407,
                0.999738809754332,
                0.8519528076067262,
                0.9993736659777552,
                0.9959298622614529,
                0.9820137888206323,
                0.9947798754889028,
                0.9840936073551713,
                0.9998766053959319,
                0.9953904277864402
            ],
            [
                3.7266401722360055e-06,
                1.2098659716316445e-06,
                3.288749065077638e-06,
                1.760342793515064e-06,
                3.288747888478753e-06,
                5.04347648667744e-07,
                2.260323758835034e-06,
                2.902313022952668e-06,
                2.260324028255194e-06,
                4.222832437386106e-06
            ],
            [
                0.9999151889385346,
                0.9999687980812701,
                0.9991959141658069,
                0.9968273164653418,
                0.9998204719703524,
                0.9997965730033463,
                0.9968273168121647,
                0.9902915213874875,
                0.9999038975737738,
                0.9997388095675478
            ],
            [
                0.9998601779430976,
                0.9995121427723136,
                0.9998204720986045,
                0.9999485577864038,
                0.9999339478790124,
                0.9995694430157853,
                0.9998766053960197,
                0.9995694429641303,
                0.9992903296223232,
                0.999195914062313
            ],
            [
                0.9997965730029439,
                0.9975273770064604,
                0.9988304895324559,
                0.999948557780244,
                0.9959298619481125,
                0.9997388096923874,
                0.999088948786049,
                0.9994472213914721,
                0.9241418241572634,
                0.9770226311771718
            ],
            [
                0.9982992775191883,
                0.9999785550413645,
                0.9975273763115828,
                0.9975273765780484,
                6.605215213033978e-05,
                0.9902915255510705,
                0.9968273175882819,
                0.9986749774204197,
                0.9989677689439181,
                0.9997965730759761
            ],
            [
                0.999088948899854,
                0.9996646498117641,
                0.9989677692064532,
                0.9997965729548229,
                0.9995694428614715,
                0.9997965729302667,
                0.9999251537371397,
                0.9994472212584338,
                0.9986749777258979,
                0.9968273175146466
            ],
            [
                0.9975273766527046,
                0.9996646499750522,
                0.9975273768519793,
                0.9968273178769327,
                0.9997388097853767,
                0.9999251537638889,
                0.9995121429499921,
                0.9996646497718104,
                0.9986749777818176,
                2.7535697572841325e-05
            ]
        ]
    },
    {
        "q_id": "10496_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9399133437246703,
                0.9999852610127591,
                0.9999869928684362,
                0.9940889302818263,
                0.9999251537549547,
                0.9996200155152066,
                0.9999885212346117,
                0.9046505421702797,
                0.9999724643121868,
                0.9999785550490321
            ],
            [
                0.9999957771660523,
                0.9999991684721706,
                0.9999970976890528,
                0.9999996072137529,
                0.999999057755743,
                0.9999962733620487,
                0.9999967112517189,
                0.9999995549151073,
                0.9999977396765105,
                0.9999991684717742
            ],
            [
                0.9465966685053075,
                0.9999485577987454,
                0.9975273767612434,
                0.9993736658295757,
                0.9933071491871618,
                0.9998911031297583,
                0.9947798743789853,
                0.9706877721635273,
                0.9996200154268013,
                0.8670357718273068
            ],
            [
                0.999964643757729,
                0.9999977396748938,
                0.9999832985821387,
                0.9999910603026309,
                0.9999417087067125,
                0.9999952149072169,
                0.9999910603036967,
                0.9999151889283604,
                0.9999687980886335,
                0.9999957771650455
            ],
            [
                0.9999898700066052,
                0.9984988175130998,
                0.9999339478789658,
                0.9999952149049349,
                0.9999038975392328,
                0.9999251537906192,
                0.9149009474519222,
                0.9990889486632901,
                0.9999038975965325,
                0.9999151889283443
            ],
            [
                0.9982992773326036,
                0.9999910602994342,
                0.9999921107392955,
                0.880797071719777,
                0.9999785550464785,
                0.9999599362982616,
                0.9999885212332451,
                0.9999910603068946,
                0.999986992865338,
                0.9999599363126035
            ],
            [
                0.9999756997621767,
                0.9999546021259734,
                0.9999967112521109,
                0.9999962733607161,
                0.9999974387180947,
                0.9996200155605424,
                0.999972464315471,
                0.9999974387171787,
                0.9999921107355342,
                0.9994472214560778
            ],
            [
                0.94659666812867,
                0.999876605366243,
                4.785096776251149e-06,
                0.9933071489054494,
                0.9999724643187523,
                0.9999970976876689,
                0.9324533116759811,
                0.9999910603058279,
                0.9940889320084223,
                0.9626731142622272
            ],
            [
                0.999915188948523,
                0.9975273771620901,
                0.9990889488711908,
                0.8933093975331751,
                1.0129989771473008e-05,
                0.9740426444505044,
                3.726641061027928e-06,
                0.9241418158002492,
                0.9975273772769457,
                0.9980732653442841
            ],
            [
                0.0001584361978625514,
                0.9999962733602719,
                0.9999885212346137,
                0.9999832985821409,
                0.9999687980849155,
                0.9999984465018751,
                0.9706877660157724,
                0.9999910603036969,
                0.9999869928761876,
                0.9999852610180298
            ],
            [
                0.9991959140504812,
                0.9998601778592663,
                0.9997040430072724,
                0.9840936077050515,
                0.999975699759271,
                0.9971990735836957,
                0.9989677689147477,
                0.9997040428300853,
                0.998967768794464,
                0.9999852610127585
            ],
            [
                0.997817283199182,
                0.9982992772766676,
                0.9820137926698566,
                0.9997388096287174,
                0.9933071479891094,
                0.9990889487652271,
                0.00013982209036413968,
                0.9999687980886323,
                0.9999417087066845,
                0.9992903296218278
            ],
            [
                0.9940889300656597,
                0.00043055708677319223,
                0.9984988175174622,
                0.9971990732812993,
                0.9796676448764484,
                0.9953904271475952,
                0.9890130554870931,
                0.9980732657734414,
                0.9975273772413406,
                0.9971990732214704
            ],
            [
                0.9999724643056213,
                0.9999485577863476,
                0.9999724642957807,
                0.9999599362982708,
                0.9914225162177843,
                0.9999251537727715,
                0.9999724643089054,
                0.9999417087484042,
                0.999933947863225,
                0.999968798077481
            ],
            [
                0.9046505267461572,
                0.9971990726322849,
                0.5312093733737563,
                0.9902915220679872,
                7.8892625830162e-06,
                0.9986749773635758,
                0.9995121428242264,
                0.9940889304651574,
                0.9933071501808952,
                0.9706877725345124
            ],
            [
                0.9999852610110012,
                0.9953904279146365,
                0.9999885212305066,
                0.99997855505926,
                0.9999967112505427,
                0.9999417087414243,
                0.9999852610110029,
                0.9999687980886359,
                0.9999938558275957,
                0.9999417087067083
            ],
            [
                0.9999756997592727,
                0.999975699750582,
                0.9998204720980979,
                0.999975699762166,
                0.9999785550515878,
                0.9999832985741757,
                0.9999151889384686,
                0.9999921107383549,
                0.9993736658950487,
                0.9980732648920682
            ],
            [
                0.9998415638209155,
                0.9999417087414243,
                0.9996646498109543,
                0.9953904282052146,
                0.9997040428651749,
                0.99998987000419,
                0.9991959140517438,
                0.9999930377437505,
                0.9999417087344801,
                0.9940889319755869
            ],
            [
                0.9975273766050394,
                0.9986749778378912,
                0.24508502416032485,
                0.9984988178818146,
                0.7057850278370112,
                0.8354835330070839,
                0.9964063975694785,
                0.9982992772557163,
                0.9770226286264393,
                0.9971990735004554
            ],
            [
                0.9999945777829697,
                5.8291251550907405e-05,
                0.957912271934191,
                0.9999599363030566,
                0.9982992777891829,
                0.9999038975392426,
                0.9999724642990565,
                0.9999980052702786,
                0.7772998714925403,
                0.9999038975507166
            ],
            [
                0.999964643732444,
                0.9999910603058279,
                0.9999977396757023,
                0.99999893229713,
                0.9999810748495079,
                0.9999986290423029,
                0.999994577781677,
                0.999995214904935,
                0.9999898700126439,
                0.999995777167059
            ],
            [
                0.00010889692223185108,
                1.5534973841592143e-06,
                1.4738980213020151e-05,
                2.9023133690188264e-06,
                1.3007126913346863e-05,
                3.120190392670705e-05,
                2.2603251062013478e-06,
                1.0677032518748838e-06,
                1.9947301970587145e-06,
                1.994729483694599e-06
            ],
            [
                0.9990889487648034,
                0.9999546021097268,
                0.9999417087484309,
                0.9998601779426642,
                0.9999962733616045,
                0.9999930377420904,
                0.9999339478317142,
                0.9940889306457522,
                0.9999930377437513,
                0.9995121427647069
            ],
            [
                0.9999977396759717,
                0.9984988180580578,
                0.9999869928653355,
                0.999997438717484,
                0.9999962733620488,
                0.9999599363173749,
                0.999993855827596,
                0.9999945777816768,
                0.999998446502801,
                0.9999898700066062
            ],
            [
                0.9999962733593833,
                0.9999952149055056,
                0.999998790134028,
                0.9999990577552937,
                0.9999977396746245,
                0.9999938558239335,
                0.9999898700090208,
                0.9999977396757022,
                0.9999989322975118,
                0.9999982396567868
            ],
            [
                0.9579122722345712,
                0.999981074858529,
                0.9995694428597055,
                0.999978555049031,
                0.9999810748562717,
                0.998967769167079,
                0.9999339478317286,
                0.9740426430376747,
                0.9999785550592568,
                0.9984988177516388
            ],
            [
                8.939695237666677e-06,
                0.9924227596565859,
                0.9149009584734676,
                5.8291272374642915e-05,
                0.7981867681382279,
                0.5926665999540697,
                0.9947798741952081,
                2.1444950965282096e-05,
                0.9706877673407197,
                0.5312093733737562
            ],
            [
                0.9998415638021374,
                0.9998766053663866,
                0.9986749777034069,
                0.9947798738663435,
                0.9999785550515939,
                0.9999756997476845,
                0.9820137932291455,
                0.9997965730512038,
                0.9998911031038679,
                0.9999898700053986
            ],
            [
                0.999841563726562,
                0.9993736657462862,
                0.9933071493729064,
                0.9626731147976794,
                0.9989677691649183,
                0.9875683493640591,
                0.40733340004593027,
                0.9978172836895419,
                0.9992903297055415,
                0.9994472213201774
            ],
            [
                0.9999921107355337,
                0.9998601778927789,
                0.9999984465016899,
                0.9999991684715759,
                0.9999957771670591,
                0.9999832985721839,
                0.9999910603015656,
                0.9999967112521109,
                0.9999852610233032,
                0.9999546021313769
            ],
            [
                4.539785778179383e-05,
                0.7549149923816048,
                4.0063692174115624e-05,
                0.00015843621671665935,
                0.9902915221843885,
                0.9626731160024468,
                0.9914225162177843,
                0.9924227582313971,
                0.0004305570357820264,
                1.300712846361323e-05
            ],
            [
                0.9997965730269229,
                0.9995694429627274,
                0.999941708748396,
                0.9999970976869769,
                0.9999930377445803,
                0.9999898700114356,
                0.9999885212346126,
                0.9999599363125918,
                0.9999921107374145,
                0.9999038975622012
            ],
            [
                0.9999982396559474,
                0.9999910603047625,
                0.9999599362934974,
                0.9999921107355338,
                0.9997965729782722,
                0.9999785550592607,
                0.999997097688015,
                0.999994577780384,
                0.9999756997505873,
                0.9999952149072168
            ],
            [
                0.9971990731987094,
                0.9999852610180304,
                0.9859363709680644,
                0.999978555054146,
                0.9975273768806934,
                0.9997694931751738,
                0.9996646499703007,
                0.9999785550490315,
                0.9988304898969083,
                0.9999485577740962
            ],
            [
                0.9999785550413672,
                0.9999485577863629,
                0.9999938558232009,
                0.9999938558261307,
                0.9999910603058282,
                0.9999967112509347,
                0.999997438716568,
                0.9999898700090211,
                0.9999977396765105,
                0.9999910603026306
            ],
            [
                0.9999989322966208,
                0.9999977396748938,
                0.9999930377462403,
                0.6224593312018546,
                0.9999869928715381,
                0.9999977396748939,
                0.9999921107402361,
                0.9999974387171787,
                0.9999646437408697,
                0.9999952149072167
            ],
            [
                0.9978172834304169,
                0.9959298630882177,
                0.9999485577679709,
                0.9626731122542813,
                0.9953904283740064,
                0.9947798749278988,
                0.9953904276967027,
                0.9999756997534859,
                0.9999038975507474,
                0.9770226291282228
            ],
            [
                0.9999945777790913,
                0.9999967112521109,
                0.9999970976866309,
                0.9999990577551815,
                0.9999986290429567,
                0.9999967112493665,
                0.999989870006606,
                0.9999962733602719,
                0.9999980052702786,
                0.9999986290421394
            ],
            [
                0.9999898700102291,
                0.9995121429391215,
                0.9996200154703795,
                0.9994472214537946,
                0.9997388096905482,
                0.9999952149043646,
                0.9669140180359898,
                0.9996646497701029,
                0.9984988173883336,
                0.9999967112521109
            ],
            [
                0.9993736658977084,
                0.9999756997679619,
                0.9999984465016899,
                0.9999832985721844,
                0.999964643732439,
                0.9990889489820288,
                0.9998911031167798,
                0.9999974387171787,
                0.9770226293791145,
                0.9999970976890528
            ],
            [
                0.9999038976080374,
                0.9999982396574162,
                0.9999785550592636,
                0.9995694429618006,
                0.9999869928653338,
                0.9997388096595644,
                0.9997965730996415,
                0.9875683486094188,
                0.9999945777810304,
                0.9999967112497586
            ],
            [
                0.9999977396754328,
                0.9999921107336535,
                0.9999952149066462,
                0.9999952149066462,
                0.9999945777810305,
                0.9999952149055056,
                0.9999832985781578,
                0.9999984465026158,
                0.9999921107336532,
                0.9999984465016899
            ],
            [
                0.9999962733611603,
                0.9999986290423029,
                0.9999921107364743,
                0.9999994284996211,
                0.9999977396757022,
                0.999997438717484,
                0.9999962733593835,
                0.9999967112497584,
                0.9999910603058279,
                0.9999885212346123
            ],
            [
                0.9998766053663525,
                0.9999485577863536,
                0.9875683493411912,
                0.9999930377437515,
                0.9999546021422099,
                0.9994472212583051,
                0.9998415637268294,
                0.9982992779332722,
                0.9940889299370543,
                0.9999687980811962
            ],
            [
                0.9999989322968754,
                0.999998005269803,
                0.9999885212332431,
                0.9999962733602719,
                0.9999957771680656,
                0.9999957771670589,
                0.999997097688361,
                0.999975699762166,
                0.9999898700078154,
                0.9999977396759717
            ],
            [
                0.9968273164623964,
                0.9989677690463152,
                0.999447221385555,
                0.9988304898728381,
                0.9999417087553089,
                0.9997965730508666,
                0.9980732657770234,
                0.9933071496917679,
                0.9999038975850585,
                0.998830489860871
            ],
            [
                0.9990889488785023,
                0.9875683469743644,
                0.9999038975736144,
                0.999569442963003,
                0.9984988176957995,
                0.9626731142622272,
                0.9994472213235218,
                0.9997388096595644,
                0.9994472212548321,
                0.994088930749731
            ],
            [
                0.9859363730213224,
                0.9995694428622356,
                0.9953904276304679,
                0.9978172839785854,
                0.9988304897424239,
                0.0010322308963039719,
                0.9994472214636994,
                0.0008040859256212415,
                0.9840936082881854,
                0.9999485577924913
            ],
            [
                0.9994472213857157,
                0.9740426455807681,
                0.9995694429098825,
                1.3007128461838766e-05,
                0.999972464315472,
                0.9968273175323191,
                0.00010889696050829133,
                0.9241418231126367,
                7.484620040083068e-05,
                0.9859363712650766
            ],
            [
                0.9999921107336528,
                0.9988304895926993,
                0.999983298574177,
                0.9999974387168734,
                0.9978172837169249,
                0.9999957771670591,
                0.9996646497304907,
                0.9999974387168733,
                0.9999974387171787,
                0.9999977396757023
            ],
            [
                0.9984988180418296,
                8.481107156496966e-05,
                0.9999810748540167,
                0.9999546021367783,
                0.9999546021367783,
                0.9999832985841296,
                0.9998415638210192,
                4.785096776251149e-06,
                0.932453315430128,
                0.9999989322971299
            ],
            [
                0.9626731154669946,
                0.9959298623275186,
                0.9991959141449491,
                0.9241418147556223,
                4.539787400371717e-05,
                0.9971990726895127,
                0.9902915237155127,
                0.9997965730513342,
                0.0009110512217922601,
                0.9924227585605563
            ],
            [
                0.9999962733616046,
                0.9999724643154743,
                0.9999967112501509,
                0.9999993524053563,
                0.9999996533674202,
                0.9999962733589389,
                0.9999921107392968,
                0.9999990577552937,
                0.9999957771665557,
                0.9999987901337396
            ],
            [
                0.9997040429004367,
                0.9996646500100201,
                0.9999339478632352,
                0.9991959139491385,
                0.9998204719914313,
                0.9992903294501487,
                0.9992903296225708,
                0.9968273171729782,
                6.144176065314267e-06,
                0.9840936078216782
            ],
            [
                0.9999962733607161,
                0.9999898700114359,
                0.9999921107374157,
                0.9999957771655487,
                0.9998766053664352,
                0.9999885212359804,
                0.9999885212332446,
                0.9999724643023473,
                0.9999339478790523,
                0.9999970976887068
            ],
            [
                0.9999991684717741,
                0.999997097686977,
                0.9999980052693274,
                0.999915188948705,
                0.9998415637642725,
                0.9999967112513267,
                0.9999832985761689,
                0.9999967112497586,
                0.9999930377420907,
                0.9999546021421996
            ],
            [
                0.7310585844894971,
                0.8519528057272543,
                0.9579122693809591,
                0.9998415637837214,
                0.9959298613705095,
                0.9989677691623973,
                0.7057850340255385,
                0.9964063974235821,
                0.9324533032291501,
                0.9525741276639141
            ],
            [
                0.9999938558275958,
                0.9999646437619449,
                0.9998911030518618,
                0.9999952149032236,
                0.9998911031296703,
                0.9999485577679945,
                0.9995694429607108,
                0.9999417087483609,
                0.999997438716568,
                0.9999898700078131
            ],
            [
                0.9999967112517187,
                0.99998107485853,
                0.9999687980960733,
                0.9999724642957877,
                0.9669140233989488,
                0.999988521231875,
                0.9999724643187533,
                0.9999974387184,
                0.9999977396762411,
                0.9999952149043645
            ],
            [
                0.9959298626182076,
                0.9999885212332448,
                0.989013057035448,
                0.9989677689386363,
                0.9990889489832474,
                0.9997040430068247,
                0.9998911031037632,
                0.9996646497701029,
                0.9959298620368293,
                0.9986749776915451
            ],
            [
                0.14804720367010532,
                0.04742587435564,
                0.9740426433202407,
                0.1329642264548166,
                0.00026119027551171144,
                0.16451646084838667,
                0.0420877273148584,
                0.2689414272294874,
                0.9149009538328171,
                0.9579122677288677
            ],
            [
                0.9770226293791145,
                0.9875683478319105,
                0.979667645061958,
                0.9997965729319299,
                0.99929032971227,
                0.997199072677807,
                0.9998766053812974,
                0.9997040430090205,
                0.9971990730862048,
                0.9984988175699862
            ],
            [
                0.9999974387168733,
                0.9999986290431201,
                0.9999986290424663,
                0.9999952149043648,
                0.999994577782323,
                0.9999991684719723,
                0.9999994284993485,
                0.9999986290432834,
                0.9999986290427931,
                0.9999810748517622
            ],
            [
                0.9999251537460211,
                0.9999810748585323,
                0.9999785550592607,
                0.9953904271561417,
                0.9999810748562764,
                0.9999945777829695,
                0.9999599362935166,
                0.9999938558239333,
                0.9998911030908227,
                0.9998911031167798
            ],
            [
                0.999704042794746,
                0.9465966711417693,
                0.9999151889384605,
                0.9902915237781902,
                0.9859363751262343,
                0.9525741232882134,
                0.9995694429102457,
                0.9324533032291502,
                0.9924227593659455,
                0.9933071490323747
            ],
            [
                0.9902915248526633,
                0.999876605469328,
                0.7772998611746912,
                0.9940889299863074,
                0.9999832985801492,
                0.9999485577986358,
                0.9996646499712081,
                0.9740426422370713,
                0.9525741290102834,
                0.9914225142536528
            ],
            [
                0.9999339478710885,
                0.9996646498108372,
                0.9997965730026834,
                0.9999967112497586,
                0.9995694430126288,
                0.9999339478632105,
                0.9999724643056263,
                0.9999910602994336,
                0.9997040429003505,
                0.9998204719911963
            ],
            [
                0.9999970976887068,
                0.9999910603036967,
                0.9999646437492923,
                0.9999930377420905,
                0.9999967112497585,
                0.9999986290426297,
                0.9999962733616045,
                0.9996646500096884,
                0.9999984465018751,
                0.9999974387184
            ],
            [
                0.977022630466312,
                0.9982992775446857,
                0.9579122717840008,
                0.9579122743372328,
                0.9996646498518251,
                0.9998911031168874,
                0.9997694933407449,
                0.904650536386234,
                0.9626731099786092,
                0.9997694932030217
            ],
            [
                8.939696301140427e-06,
                0.9978172839258476,
                0.9999785550515897,
                0.9959298621614104,
                0.9964063966690889,
                0.9875683488723994,
                0.9933071478838541,
                0.9859363740414944,
                0.9978172837057688,
                0.998498817893855
            ],
            [
                0.9978172839258476,
                0.7981867825403177,
                0.9996646498514739,
                0.00020342694770695825,
                0.9997040430061273,
                0.9933071489054494,
                0.9525741234565096,
                0.6513548646660542,
                0.9997388096283755,
                0.9999485577924824
            ],
            [
                3.7266383954560706e-06,
                0.9324533055754922,
                0.9997388096908902,
                0.9989677687980654,
                0.9999646437577226,
                0.9999885212277695,
                0.9995121428244533,
                0.9999038975965626,
                0.9999921107374147,
                0.3486451217982255
            ],
            [
                0.9999885212277713,
                0.9999852610180298,
                0.9999921107345933,
                0.999620015515273,
                0.9999938558246658,
                0.9999962733593833,
                0.9975273772447861,
                0.9999967112497586,
                0.9989677689172686,
                0.999992110737415
            ],
            [
                0.9999977396754328,
                0.9999970976890528,
                0.9999810748517634,
                0.9999756997534777,
                0.9999977396746244,
                0.9999977396746245,
                0.9999646437450925,
                0.9999810748449972,
                0.9999952149072167,
                0.9999910603068942
            ],
            [
                0.9999869928730863,
                0.9999957771655488,
                0.999989870004194,
                0.9999898700041912,
                0.9999898700114356,
                0.9999546021422073,
                0.9999885212305073,
                0.9999952149066468,
                0.999997438717484,
                0.9999810748495047
            ],
            [
                0.9999921107374146,
                0.9999982396574163,
                0.999997097686977,
                0.9999984465015047,
                0.9999930377429205,
                0.9999984465016899,
                0.9999810748427369,
                0.9999898700126435,
                0.9999977396748939,
                0.9999970976873229
            ],
            [
                0.9999921107355337,
                0.9999930377462404,
                0.999994577780384,
                0.9999756997650686,
                0.9999938558261309,
                0.9999885212264016,
                0.9999974387168733,
                0.9999980052693274,
                0.9999832985701927,
                0.9525741249711753
            ],
            [
                0.9999921107355341,
                0.9999991684721706,
                0.999994577780384,
                0.9995694430120777,
                0.9999251537817373,
                0.9999921107364743,
                0.9999852610215433,
                0.9997040427598373,
                0.9999910603004994,
                0.9984988177045243
            ],
            [
                1.4738978453315019e-05,
                1.3007130012980722e-05,
                0.9997040429357845,
                6.475948753965404e-07,
                0.0004878572213570194,
                0.9999546021421873,
                0.9796676475106858,
                5.715005832853093e-07,
                7.484624483724302e-05,
                0.9998601778760724
            ],
            [
                0.9998204719911309,
                0.9996646497297103,
                0.9669140210154116,
                0.8175744739711883,
                0.9980732655321104,
                0.9706877664397555,
                0.9978172839030284,
                0.9933071503542568,
                0.9990889487652271,
                0.9399133433038895
            ],
            [
                0.0004878571136996522,
                0.7772998714925403,
                0.9399133433038895,
                0.9914225158376299,
                0.9796676489576609,
                0.9740426424725429,
                0.9933071500973101,
                3.2887490653408545e-06,
                0.00029595709712646536,
                0.998498818046192
            ],
            [
                0.9999852610215436,
                0.9999485578047641,
                0.9999646437324408,
                0.9999832985741761,
                0.9999987901347491,
                0.9978172831256533,
                0.9999756997476837,
                0.9999810748449924,
                0.9999930377454116,
                0.9999869928715381
            ],
            [
                2.561282515886208e-06,
                1.8925154889318303e-05,
                1.3007123808532309e-05,
                7.889264463675704e-06,
                0.0002959570238818532,
                0.20181323186177208,
                1.4738985472887472e-05,
                9.422443692489024e-07,
                0.9953904280941112,
                1.0129987355564522e-05
            ],
            [
                0.9999756997476837,
                0.9999546021259533,
                0.9999687980774782,
                0.9975273765786226,
                0.9997965730267513,
                0.9992903294531208,
                0.9992903295365868,
                0.9859363740931488,
                0.9999785550439172,
                0.9999646437577273
            ],
            [
                0.9999921107374148,
                0.9999646437619418,
                0.9999785550567073,
                0.9999962733598278,
                0.9997694932847676,
                0.9999930377429205,
                0.9999810748517651,
                0.9999967112509348,
                0.9999952149037942,
                0.9999910603036969
            ],
            [
                0.9999485577740932,
                0.999664649971091,
                0.817574478416099,
                6.9622587393661365e-06,
                0.9999810748472515,
                2.260323489490968e-06,
                0.9980732651013858,
                0.999447221319888,
                0.9989677687929035,
                0.9999785550464837
            ],
            [
                0.9999957771670596,
                0.9999974387177893,
                0.9999938558246657,
                0.9999546021313743,
                0.99998329858015,
                0.9999970976873229,
                0.9999962733620488,
                0.9999962733611603,
                0.9999957771650454,
                0.9998204719484768
            ],
            [
                0.7057850278370112,
                0.9875683504731517,
                0.00017952794187369218,
                0.9924227592293795,
                0.9770226317207704,
                7.88926634687567e-06,
                0.9971990728514412,
                0.3775406687981454,
                0.9840936065679405,
                0.9669140228030645
            ],
            [
                0.9996646497317494,
                0.999954602147594,
                0.999903897550667,
                0.993307148416322,
                0.9999852610145151,
                0.9999852610162727,
                0.9999974387187053,
                0.9998766054251287,
                0.999968798092358,
                0.9999687980774897
            ],
            [
                0.9999977396748938,
                0.9999938558275958,
                0.999925153745984,
                0.9999910603015651,
                0.9999687980960685,
                0.9988304895913394,
                0.9978172837519145,
                0.9999724642957784,
                0.9999832985821384,
                0.9999810748449939
            ],
            [
                0.9953904272074202,
                0.9998415637644016,
                0.9953904276304679,
                0.9740426398823548,
                0.9999038975736865,
                0.9992903297062846,
                0.9994472214513827,
                0.9914225146179676,
                0.9997388095972548,
                0.9996646500096884
            ],
            [
                0.9959298629976133,
                0.00026119033820884815,
                0.00026119040118718716,
                0.0011695103879901978,
                0.000709670462422483,
                0.9933071477352584,
                0.9770226324316302,
                0.0006263341630280927,
                0.9149009619539554,
                0.002182716775463407
            ],
            [
                0.9999930377429205,
                0.9999982396574163,
                0.9999885212318768,
                0.9999987901338838,
                0.999975699762166,
                0.9940889300164065,
                0.9999970976890529,
                0.9997694933123403,
                0.9997694933124477,
                0.999997438716568
            ],
            [
                0.9998766053810586,
                0.9999952149037943,
                0.9991959140502006,
                0.9940889312449988,
                0.9999546021151381,
                0.9993736658246934,
                0.9982992778994735,
                0.9999038975393901,
                0.9984988180526484,
                0.9902915237334204
            ],
            [
                0.9999599363221586,
                0.9999974387168733,
                0.9999982396574163,
                0.9999945777784451,
                0.9999990577552937,
                0.9998204720771418,
                0.999964643736671,
                0.9999945777790914,
                0.999993855822469,
                0.9999987901338838
            ],
            [
                0.9999646437450779,
                0.9999417087205725,
                0.9999974387184,
                0.9999038975393034,
                0.9999417087136563,
                0.9999687980811924,
                0.9999898700090206,
                0.9999952149043647,
                0.999988521235985,
                0.9999339478711133
            ],
            [
                0.9999724642957742,
                0.9149009474519223,
                0.9999417087136692,
                0.9999687980997913,
                0.9999945777797381,
                0.9999151889890107,
                0.9999957771645421,
                0.9999898700114359,
                0.9995694429615251,
                0.9999852610110015
            ],
            [
                0.9986749775288699,
                0.9669140213729422,
                0.9324533022906133,
                0.9324533158993963,
                0.8807970764133561,
                0.9859363698574971,
                0.9626731103801985,
                0.974042643367335,
                0.924141819456443,
                0.9902915221396188
            ],
            [
                0.9999962733602719,
                0.999997097686977,
                0.999996273360716,
                0.999985261016273,
                0.9999974387168734,
                0.9999962733607163,
                0.9999938558232011,
                0.9999977396754328,
                0.9980732649462445,
                0.9999980052702786
            ],
            [
                0.9999339478238508,
                0.9933071492243107,
                0.999738809753405,
                0.9996646498899543,
                0.9999485577924824,
                0.9997040427597426,
                0.998674977519473,
                0.9988304900133154,
                0.8354835432479661,
                0.9997694932024783
            ],
            [
                0.9999967112497585,
                0.9999982396565769,
                0.9999982396574163,
                0.9992903297040554,
                0.9999977396751634,
                0.9999970976883609,
                0.9999970976880151,
                0.9999938558232012,
                0.9999921107402366,
                0.9999986290427931
            ],
            [
                0.9999921107392955,
                0.9999957771680656,
                0.9999962733611607,
                0.9999967112493665,
                0.9999810748540182,
                0.9999952149032237,
                0.9999852610180342,
                0.9999967112493665,
                0.9998911030519949,
                0.9999986290427931
            ],
            [
                0.9999945777797377,
                0.9999989322973845,
                0.9999990577556308,
                0.9999987901344607,
                0.9999982396574163,
                0.9999989322967481,
                0.9990889486559786,
                0.9980732656088975,
                0.9999974387177895,
                0.9999885212291404
            ],
            [
                0.9999599363221466,
                0.9997388095662711,
                0.9999852610162734,
                0.9998911030388833,
                0.9995694430145703,
                0.999704042901048,
                0.9998766053665034,
                0.9999957771650454,
                0.9999038975736144,
                0.9999038975850886
            ],
            [
                0.9999930377462405,
                0.9999869928653341,
                0.9996200155608962,
                0.9999832985701949,
                0.9999952149037942,
                0.9978172834075976,
                0.9996200155603987,
                0.997817283469463,
                0.9999967112517189,
                0.9975273770219659
            ],
            [
                0.9324533022906133,
                0.4073334000459302,
                0.999512142881617,
                0.9770226309262801,
                0.9740426446388818,
                0.9953904286175793,
                0.9989677690385125,
                0.9978172836393395,
                0.984093604906009,
                0.9996200155146981
            ],
            [
                0.999995214904935,
                0.9999930377462408,
                0.9999938558239335,
                0.9999967112517187,
                0.9999724643089384,
                0.9999485577863536,
                0.9999993524052019,
                0.9996200155168097,
                0.9999938558253983,
                0.9999756997476854
            ],
            [
                0.9999910603026304,
                0.9999339478395824,
                0.9993736657505126,
                0.9999869928699853,
                0.9999938558246657,
                0.999796573002346,
                0.9996200155605424,
                0.9986749776736754,
                0.962673113726775,
                0.9999852610145165
            ],
            [
                0.99999862904312,
                0.9999982396572064,
                0.9999251537816921,
                0.9999986290432835,
                0.9999898700066059,
                0.9999980052707541,
                0.9999962733616045,
                0.9999921107336528,
                0.9982992779107397,
                0.9978172837123611
            ],
            [
                0.9999977396765105,
                0.9999984465026158,
                0.9999957771675629,
                0.999998005269803,
                0.9999989322970028,
                0.9999962733616045,
                0.9999974387168733,
                0.9999974387187053,
                0.999993037740431,
                0.9999977396754327
            ],
            [
                0.9999898700114371,
                0.9999339478474506,
                0.9980732650888492,
                0.9796676465089336,
                0.9999724642990565,
                0.9999756997621758,
                0.9999869928730867,
                0.9999832985841349,
                0.999796573002639,
                0.9669140194661122
            ],
            [
                3.1201926235527406e-05,
                0.9875683476832692,
                0.0001398220738102709,
                0.0017007224015526167,
                0.5621765008857981,
                0.9971990724066255,
                0.851952809486198,
                0.00015843627325363947,
                0.5312093733737563,
                0.7057850340255386
            ],
            [
                0.9999945777810305,
                0.9999417087414243,
                0.9971990726023705,
                0.9999938558224686,
                0.9991959140498733,
                0.9999938558239334,
                0.9999921107364748,
                0.9996646498899543,
                0.9999974387187053,
                0.9999938558261308
            ],
            [
                0.9984988175218247,
                0.999860177859368,
                0.9999339478238459,
                0.9995121428238858,
                0.9999910603015656,
                0.9999339478632202,
                0.9999687980886347,
                0.9997694931752811,
                0.999941708741432,
                0.999991060299434
            ],
            [
                0.9984988178961235,
                0.9999785550439183,
                0.9998766054398672,
                0.9999339478238459,
                0.9947798752180732,
                0.9947798745651806,
                0.9999546021097371,
                0.9997388096597012,
                0.99997246431547,
                0.9999151889587096
            ],
            [
                0.9990889487624192,
                0.9982992772739004,
                0.9706877659627745,
                0.9991959142381076,
                0.993307150351161,
                0.9982992778994735,
                0.9706877699906141,
                0.9991959141490645,
                0.984093609250356,
                0.9525741278322103
            ],
            [
                0.999994577780384,
                0.9999646437577213,
                0.9999967112517187,
                0.9990889487737572,
                0.9999990577550691,
                0.9998601779258989,
                0.9998204719482784,
                0.9988304897318168,
                0.9999898700126437,
                0.9999546021475917
            ],
            [
                0.9997040428653471,
                0.9997694932033637,
                0.9999869928653345,
                0.9994472213854264,
                0.9999910603026306,
                0.9999945777829696,
                0.9971990729912589,
                0.9999599363221789,
                0.999796573050825,
                0.9999938558224688
            ],
            [
                0.9999921107392955,
                0.9993736659077279,
                0.9999967112521109,
                0.999988521233244,
                0.9996646499333813,
                0.9999921107364745,
                0.9999930377404308,
                0.999995777167059,
                0.9999938558268631,
                0.9999977396754328
            ],
            [
                0.9399133464597458,
                0.9998766053957163,
                0.9999984465020603,
                0.9999962733611601,
                0.9999687980774756,
                0.9999992661791944,
                0.9999957771670588,
                0.9999967112493665,
                0.9999921107355337,
                0.9999982396567867
            ],
            [
                0.9999938558268631,
                0.9999974387187053,
                0.9999974387187053,
                0.9999485577802131,
                0.9999756997621647,
                0.999995777164542,
                0.9999977396762411,
                0.9999921107392955,
                0.9999962733616045,
                0.9999885212291387
            ],
            [
                0.9999251537549613,
                0.9999810748449939,
                0.9994472213879668,
                0.9947798735785871,
                0.9997388096287858,
                0.9995694430144701,
                0.998498817701209,
                0.9999869928730871,
                0.997817283469463,
                0.999088948882529
            ],
            [
                0.9998766053663058,
                0.9999724643154692,
                0.99408893018332,
                0.9999599363078182,
                0.9998415638210723,
                0.9995121428238858,
                0.9669140251866016,
                0.9999921107392957,
                0.9995694428598808,
                0.9980732653248074
            ],
            [
                0.9988304897224335,
                0.9964063975011156,
                0.9993736659029914,
                0.9986749778395857,
                0.99995460213136,
                0.9998415637454438,
                6.96225458885115e-06,
                0.9993736658282276,
                0.9859363702836451,
                0.9964063971009425
            ],
            [
                0.9999485577618361,
                0.9999810748495047,
                0.9999724643089054,
                0.9999885212346123,
                0.9999832985781566,
                0.9999687980886309,
                0.9999724643089054,
                0.999997097688361,
                0.999796573027139,
                0.9999785550515911
            ],
            [
                0.9975273767733032,
                0.9997965730512927,
                0.9997694933402419,
                0.9988304896014026,
                0.9994472213254835,
                0.9525741269907294,
                0.9902915255421165,
                0.9997694932029144,
                0.9996200155153504,
                0.9999599362935033
            ],
            [
                0.9998204720127897,
                0.9998766054692311,
                0.9999038975621306,
                0.9999251537638144,
                0.9999151889182207,
                0.9999810748427351,
                0.9999417087066808,
                0.9999599362887218,
                0.999995214904935,
                0.9999251537817575
            ],
            [
                0.9999982396565769,
                0.999997097686977,
                0.9999785550515867,
                0.9999977396762411,
                0.9998766054250983,
                0.9999852610215426,
                0.9999989322973845,
                0.9999991684719723,
                0.9999984465022455,
                0.9999952149072167
            ]
        ]
    },
    {
        "q_id": "10443_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999986290432834,
                0.9999995549150542,
                0.9999987901347491,
                0.9999993524054334,
                0.9999980052702786,
                0.9999982396561572,
                0.9999987901346049,
                0.9999996533672549,
                0.999995214904935,
                0.9999995549150541
            ],
            [
                0.9999994956525317,
                0.999999168471675,
                0.9999990577555185,
                0.9999997300421581,
                0.9999986290424664,
                0.9999970976887068,
                0.9999994284994167,
                0.9999986290421394,
                0.9999993524054335,
                0.9999996940977002
            ],
            [
                0.9999982396572065,
                0.9999990577557432,
                0.9999982396569966,
                0.9999986290424663,
                0.9999992661790196,
                0.9999989322966208,
                0.9999982396561572,
                0.999998239656367,
                0.9999989322968754,
                0.9999977396765105
            ],
            [
                0.9999984465016899,
                0.9999984465016899,
                0.9999994284994849,
                0.9999994284994167,
                0.999999352404893,
                0.9999990577549568,
                0.999999352404893,
                0.9999991684720715,
                0.9999989322966208,
                0.9999980052700407
            ],
            [
                0.9999994956525918,
                0.9999997897567341,
                0.9999992661790195,
                0.999999554914895,
                0.999999057755743,
                0.9999984465022455,
                0.9999997300420937,
                0.9999997300422868,
                0.9999992661788445,
                0.9999990577555185
            ],
            [
                0.999999057755743,
                0.999998446502801,
                0.9999998144609645,
                0.9999991684719723,
                0.9999986290424663,
                0.9999967112517187,
                0.9999986290427931,
                0.9999990577550691,
                0.9999984465026158,
                0.99999862904312
            ],
            [
                0.9999982396567868,
                0.999998005269803,
                0.9999987901341723,
                0.9999990577554061,
                0.9999984465024306,
                0.9999989322966208,
                0.9999984465024306,
                0.9999991684717742,
                0.9999987901341723,
                0.9999987901337396
            ],
            [
                0.9999987901338838,
                0.9999994956523514,
                0.9999984465015047,
                0.9999990577554061,
                0.9999977396757023,
                0.9999996533674202,
                0.999998239656367,
                0.9999996072137998,
                0.9999982396567867,
                0.999999730042319
            ],
            [
                0.9999996533674201,
                0.9999996533673788,
                0.9999991684717741,
                0.9999977396757022,
                0.9999982396569966,
                0.9999995549150011,
                0.9999962733593832,
                0.9999987901338838,
                0.9999994284996893,
                0.9999991684717741
            ],
            [
                0.9999997300421903,
                0.9999994956527121,
                0.9999996533674615,
                0.9999980052700408,
                0.9999994956527722,
                0.9999996072136592,
                0.9999996533674201,
                0.9999994284995529,
                0.9999993524049702,
                0.9999990577556308
            ],
            [
                0.9999996072137998,
                0.9999996940977366,
                0.9999995549149481,
                0.9999987901347492,
                0.9999996940976272,
                0.9999997300421581,
                0.9999997300421581,
                0.9999984465024306,
                0.9999990577551815,
                0.9999996072136125
            ],
            [
                0.9999992661790195,
                0.9999989322973846,
                0.9999984465022455,
                0.9999995549150011,
                0.999989870006606,
                0.9999984465026158,
                0.9999996072136592,
                0.9999995549147889,
                0.9999993524049702,
                0.999999352404893
            ],
            [
                0.9999996940977002,
                0.9999977396757022,
                0.9999992661788446,
                0.9999982396561572,
                0.9999970976887068,
                0.9999996940976636,
                0.9999986290429566,
                0.9999987901344607,
                0.9999996533673375,
                0.999998239656367
            ],
            [
                0.9999994956525918,
                0.9999997617631469,
                0.9999995549150542,
                0.9999994956526519,
                0.9999980052700408,
                0.9999974387187053,
                0.9999980052702786,
                0.9999980052700408,
                0.9999938558261307,
                0.999999554914895
            ],
            [
                0.9999990577552937,
                0.99999976176309,
                0.9999987901338838,
                0.9999982396569966,
                0.9999986290429567,
                0.999998629042303,
                0.9999992661788445,
                0.9999992661787571,
                0.9999995549149481,
                0.9999997300422546
            ],
            [
                0.9999987901346049,
                0.9999986290424664,
                0.999997097687669,
                0.9999987901343165,
                0.9999977396746244,
                0.9999982396559474,
                0.9999986290429566,
                0.9999992661791944,
                0.9999977396765105,
                0.9999994284996893
            ],
            [
                0.9999982396569965,
                0.9999995549150011,
                0.9999993524053562,
                0.9999984465026158,
                0.9999997300422546,
                0.9999977396746244,
                0.9999996072138465,
                0.9999994284995529,
                0.9999997300420939,
                0.9999996533672135
            ],
            [
                0.9999987901343165,
                0.9999996072137529,
                0.9999982396574163,
                0.9999996072136125,
                0.9999995549148419,
                0.999999057755743,
                0.9999986290427931,
                0.9999982396574163,
                0.9999957771660523,
                0.9999993524052018
            ],
            [
                0.9999994284997573,
                0.9999993524050473,
                0.9999986290424664,
                0.9999993524053563,
                0.9999994956527121,
                0.9999992661790195,
                0.9999992661788445,
                0.9999987901337396,
                0.9999967112509347,
                0.999998790134028
            ],
            [
                0.9999993524054334,
                0.9999967112497586,
                0.9999993524054335,
                0.9999982396565769,
                0.9999970976883609,
                0.9999980052709919,
                0.9999980052707541,
                0.9999996533675028,
                0.999997438717484,
                0.9999980052707541
            ],
            [
                0.9999989322973845,
                0.9999997617631183,
                0.9999986290424664,
                0.9999994956525318,
                0.9999989322968754,
                0.9999984465015047,
                0.9999980052709919,
                0.9999996072138934,
                0.9999989322966208,
                0.9999987901347491
            ],
            [
                0.9999982396574163,
                0.9999982396561572,
                0.9999989322970027,
                0.9999996072138465,
                0.9999952149066462,
                0.9999984465022455,
                0.9999967112517187,
                0.9999991684716749,
                0.9999967112509347,
                0.9999967112509347
            ],
            [
                0.999999554914895,
                0.9999977396748939,
                0.9999987901343165,
                0.9999982396569966,
                0.9999970976890529,
                0.999998790134028,
                0.999999168471675,
                0.99999862904312,
                0.9999982396574163,
                0.9999910603004992
            ],
            [
                0.9999984465022455,
                0.9999994956527121,
                0.9999993524050473,
                0.9999996072136592,
                0.9999995549149481,
                0.9999989322972572,
                0.999998446502801,
                0.999999352404893,
                0.9999996072139402,
                0.9999970976883609
            ],
            [
                0.9999990577555185,
                0.9999989322972572,
                0.9999986290429566,
                0.9999967112521109,
                0.9999986290424663,
                0.9999993524053562,
                0.9999980052709919,
                0.9999987901338838,
                0.9999994956523512,
                0.9999957771665557
            ],
            [
                0.9999995549148419,
                0.9999996940977731,
                0.9999996940978825,
                0.9999996940977002,
                0.9999996533673375,
                0.9999997617631752,
                0.9999987901343166,
                0.9999995549149481,
                0.9999989322966208,
                0.9999990577551815
            ],
            [
                0.9999987901346049,
                0.999993855824666,
                0.9999986290421394,
                0.9999987901346049,
                0.9999987901337396,
                0.9999982396561572,
                0.999997097688361,
                0.9999987901347492,
                0.9999992661786696,
                0.9999986290426297
            ],
            [
                0.9999984465026158,
                0.9999996533675028,
                0.9999993524053562,
                0.999997438717484,
                0.9999982396559474,
                0.9999970976890529,
                0.9999980052705163,
                0.9999991684720715,
                0.9999990577557432,
                0.9999967112517189
            ],
            [
                0.9999994284996893,
                0.9999993524049703,
                0.9999984465016899,
                0.9999991684718732,
                0.9999987901338838,
                0.9999982396561572,
                0.9999987901343165,
                0.9999967112521108,
                0.9999980052693274,
                0.9999996072138465
            ],
            [
                0.9999990577555185,
                0.9999990577556307,
                0.9999987901343165,
                0.9999989322975118,
                0.9999984465026158,
                0.9999990577552937,
                0.9999987901343165,
                0.9999994956527722,
                0.9999996940978461,
                0.9999991684715759
            ],
            [
                0.9999994284994849,
                0.9999984465024306,
                0.9999982396569966,
                0.9999989322970027,
                0.9999989322966208,
                0.9999993524054335,
                0.9999989322966208,
                0.999999266178757,
                0.9999982396559474,
                0.9999982396569966
            ],
            [
                0.9999982396567867,
                0.9999984465024306,
                0.9999994284992805,
                0.9999995549150011,
                0.9999992661791944,
                0.9999991684717742,
                0.9999990577557432,
                0.9999994284992805,
                0.9999987901337396,
                0.9999994284992805
            ],
            [
                0.9999987901344607,
                0.9999984465028011,
                0.9999990577556307,
                0.9999982396572065,
                0.999998790134028,
                0.9999992661792819,
                0.999998790134028,
                0.999999168471675,
                0.9999989322968754,
                0.9999984465024306
            ],
            [
                0.9999986290423029,
                0.9999991684720715,
                0.9999989322973845,
                0.9999995549150541,
                0.9999990577549568,
                0.999999352405279,
                0.9999982396574163,
                0.9999996533675028,
                0.9999993524050474,
                0.9999987901343165
            ],
            [
                0.9999990577551814,
                0.9999977396765105,
                0.9999994956527722,
                0.9999984465020603,
                0.9999991684718732,
                0.9999974387187053,
                0.9999987901338838,
                0.9999995549151072,
                0.9999986290429566,
                0.999999352404893
            ],
            [
                0.9999987901343165,
                0.9999945777816768,
                0.9999980052700408,
                0.9999984465022455,
                0.9999984465016899,
                0.9999980052695652,
                0.999998790134028,
                0.9999997897566589,
                0.9999952149043646,
                0.9999987901337396
            ],
            [
                0.999998446502801,
                0.9999991684720715,
                0.9999994284997573,
                0.9999995549150542,
                0.9999994956527121,
                0.9999994284993485,
                0.9999992661791944,
                0.9999987901341723,
                0.9999993524052018,
                0.9999993524053562
            ],
            [
                0.9999984465026158,
                0.9999990577554061,
                0.9999974387187053,
                0.9999982396567867,
                0.9999990577556307,
                0.9999992661790196,
                0.9999990577552937,
                0.9999987901343165,
                0.9999987901338838,
                0.999999057755743
            ],
            [
                0.9999980052707541,
                0.9999992661788445,
                0.9999980052709919,
                0.9999980052702786,
                0.9999987901341724,
                0.9999986290431201,
                0.999998239656367,
                0.9999990577555185,
                0.9999991684721706,
                0.9999974387177893
            ],
            [
                0.9999989322972572,
                0.9999982396561572,
                0.9999989322968754,
                0.9999986290424664,
                0.9999984465018751,
                0.9999980052707541,
                0.9999993524049702,
                0.9999992661791944,
                0.9999984465026159,
                0.9999993524049702
            ],
            [
                0.999998790134028,
                0.9999987901347491,
                0.9999989322967482,
                0.9999977396754327,
                0.9999994956523514,
                0.9999986290427931,
                0.9999990577557432,
                0.9999997617629764,
                0.999999266178757,
                0.9999994956527722
            ],
            [
                0.9999992661786696,
                0.9999977396751633,
                0.9999989322975118,
                0.9999993524052018,
                0.9999980052705163,
                0.9999994284993486,
                0.9999989322975118,
                0.9999991684718732,
                0.9999986290429566,
                0.999999352404893
            ],
            [
                0.9999986290421394,
                0.9999987901338838,
                0.999999057755743,
                0.9999980052702785,
                0.9999996940976636,
                0.9999996940978825,
                0.9999996940976272,
                0.9999991684720715,
                0.9999989322967481,
                0.9999986290423029
            ],
            [
                0.9999869928761882,
                0.9999977396765105,
                0.9999992661791944,
                0.9999987901344607,
                0.9999994284994167,
                0.9999989322972572,
                0.9999980052693274,
                0.9999910602994336,
                0.9999990577549568,
                0.9999921107402361
            ],
            [
                0.9999984465026158,
                0.999999057755743,
                0.9999987901347491,
                0.9999987901344607,
                0.9999992661788446,
                0.9999980052709919,
                0.9999987901337396,
                0.9999987901347491,
                0.9999986290426297,
                0.999999266178932
            ],
            [
                0.9999970976873229,
                0.9999984465016899,
                0.9999996072136125,
                0.9999989322968754,
                0.9999991684717741,
                0.9999997897567341,
                0.999999653367379,
                0.9999989322972572,
                0.9999997897567091,
                0.9999987901347491
            ],
            [
                0.9999993524050474,
                0.9999996533675028,
                0.9999967112493668,
                0.9999987901343166,
                0.999998629042303,
                0.9999980052702785,
                0.9999977396759716,
                0.9999994284993486,
                0.9999991684719723,
                0.9999980052707541
            ],
            [
                0.9999980052707541,
                0.9999986290423029,
                0.9999996072137529,
                0.9999994956527121,
                0.9999994956524115,
                0.9999989322967482,
                0.999998446502801,
                0.999998790134028,
                0.9999987901347491,
                0.9999984465020603
            ],
            [
                0.9999987901337396,
                0.999999266179107,
                0.9999977396754328,
                0.9999990577554061,
                0.9999986290423029,
                0.9999986290432835,
                0.9999982396567868,
                0.9999994956527721,
                0.9999982396567868,
                0.9999986290432835
            ],
            [
                0.9999980052695652,
                0.999999554914895,
                0.9999995549150011,
                0.9999992661792819,
                0.9999992661791944,
                0.9999992661789321,
                0.999999352405279,
                0.999998790134605,
                0.9999991684716749,
                0.9999993524054334
            ],
            [
                0.9999992661791944,
                0.9999980052707541,
                0.999999554914895,
                0.999999352405279,
                0.9999984465022455,
                0.9999977396754327,
                0.9999980052707541,
                0.9999996072137998,
                0.999999168471675,
                0.9999997300422547
            ],
            [
                0.9999996533672135,
                0.9999994284997573,
                0.9999996072139402,
                0.9999980052700408,
                0.9999982396567868,
                0.9999993524050473,
                0.9999980052707541,
                0.9999977396754327,
                0.9999986290424663,
                0.9999986290424664
            ],
            [
                0.9999994284995529,
                0.9999995549151073,
                0.9999986290427931,
                0.9999986290426297,
                0.9999986290429566,
                0.9999990577551814,
                0.9999996072137529,
                0.9999987901341723,
                0.9999994956526519,
                0.999999554914895
            ],
            [
                0.9999989322975118,
                0.9999984465024306,
                0.9999977396754327,
                0.9999984465022455,
                0.9999992661787571,
                0.9999993524051246,
                0.9999970976876689,
                0.9999974387171787,
                0.9999982396574163,
                0.9999982396574163
            ],
            [
                0.9999980052707541,
                0.9999977396765105,
                0.9999995549151072,
                0.9999984465020603,
                0.9999974387184,
                0.9999984465015046,
                0.9999994284994849,
                0.9999977396757022,
                0.9999967112501507,
                0.999997438717484
            ],
            [
                0.9999989322966208,
                0.9999996072138465,
                0.9999990577555185,
                0.9999997300420937,
                0.9999995549147889,
                0.9999986290432835,
                0.9999991684716749,
                0.9999987901347491,
                0.9999986290432834,
                0.9999984465026158
            ],
            [
                0.999999057755743,
                0.9999996533673375,
                0.999998239656367,
                0.9999991684721706,
                0.9999991684718732,
                0.9999989322966208,
                0.9999996940977366,
                0.9999986290427931,
                0.99999862904312,
                0.9999989322973846
            ],
            [
                0.9999997897565587,
                0.9999987901344607,
                0.9999987901347491,
                0.9999984465016899,
                0.9999982396559473,
                0.9999987901338838,
                0.999998005269803,
                0.9999995549147358,
                0.999998239656367,
                0.9999996940978825
            ],
            [
                0.9999974387187053,
                0.999998790134028,
                0.999998446502801,
                0.9999990577549568,
                0.9999994284994167,
                0.9999990577551814,
                0.9999977396757022,
                0.9999984465015047,
                0.9999974387187053,
                0.9999982396569966
            ],
            [
                0.999999554914895,
                0.9999997617631469,
                0.9999994284995529,
                0.9999990577551815,
                0.9999992661787571,
                0.9999992661790196,
                0.999998790134028,
                0.9999996072137529,
                0.9999990577552939,
                0.9999991684719723
            ],
            [
                0.9999987901338838,
                0.9999984465022455,
                0.9999980052702785,
                0.9999990577551814,
                0.9999994284996211,
                0.9999970976883608,
                0.9999994284994167,
                0.9999984465018751,
                0.9999967112497585,
                0.9999980052705163
            ],
            [
                0.9999982396574163,
                0.9999980052693275,
                0.9999992661791944,
                0.9999990577556307,
                0.9999996072139402,
                0.9999989322967482,
                0.9999987901341723,
                0.9999982396565769,
                0.9999832985801479,
                0.9999977396765105
            ],
            [
                0.9999724643154672,
                0.9998766053957486,
                0.9999930377420905,
                0.9999910603047621,
                0.9997694932851969,
                0.9999967112501504,
                0.9999921107336528,
                0.9999038975965528,
                0.9999251537549356,
                0.9998766054692795
            ],
            [
                0.9999977396754327,
                0.9999986290432835,
                0.9999989322975118,
                0.9999982396561572,
                0.9999994284993486,
                0.9999990577550691,
                0.9999986290424664,
                0.9999997617631753,
                0.9999984465015047,
                0.9999982396572065
            ],
            [
                0.9999962733611605,
                0.9999987901347492,
                0.9999986290424663,
                0.9999989322968754,
                0.9999986290429566,
                0.9999991684722697,
                0.9999982396569965,
                0.99999893229713,
                0.9999984465018751,
                0.9999977396746244
            ],
            [
                0.9999996533673788,
                0.9999990577552937,
                0.9999995549147889,
                0.9999992661789321,
                0.9999995549147358,
                0.9999990577556308,
                0.9999987901343166,
                0.9999977396757022,
                0.9999993524053562,
                0.999999653367379
            ],
            [
                0.9999984465018751,
                0.9999994284994167,
                0.9999984465015047,
                0.999998790134605,
                0.9999995549147358,
                0.9999987901337396,
                0.9999996072137061,
                0.9999993524054334,
                0.9999982396574163,
                0.9999996072138934
            ],
            [
                0.9999994284996211,
                0.9999990577550691,
                0.9999992661788445,
                0.9999989322968754,
                0.9999986290431201,
                0.9999986290421394,
                0.9999989322973845,
                0.9999982396559474,
                0.9999996072138934,
                0.9999967112497585
            ],
            [
                0.9999984465024306,
                0.9999993524051246,
                0.9999994956524115,
                0.9999984465022455,
                0.9999986290427932,
                0.9999989322972572,
                0.9999986290423029,
                0.9999989322966208,
                0.9999986290421394,
                0.9999991684719723
            ],
            [
                0.9999992661790195,
                0.9999970976890529,
                0.9999993524053562,
                0.9999990577556307,
                0.9999945777790913,
                0.9999996940976272,
                0.9999982396572065,
                0.9999996533672549,
                0.9999989322967481,
                0.9999974387184
            ],
            [
                0.9999989322972572,
                0.9999980052707541,
                0.9999957771660523,
                0.999998239656367,
                0.9999991684722698,
                0.999998629042303,
                0.9999992661790195,
                0.9999962733589389,
                0.9999952149066462,
                0.9999995549150542
            ],
            [
                0.9999957771665557,
                0.9999982396565767,
                0.9999993524049702,
                0.9999977396748938,
                0.9999989322966208,
                0.9999982396561572,
                0.9999957771660521,
                0.9999957771655488,
                0.9999967112517189,
                0.9999962733611603
            ],
            [
                0.99999862904312,
                0.9999986290423029,
                0.9999982396572065,
                0.9999996940978825,
                0.9999991684720715,
                0.9999992661789321,
                0.9999994284996891,
                0.9999990577549568,
                0.9999977396765105,
                0.9999996072136592
            ],
            [
                0.9999982396574163,
                0.9999930377445805,
                0.9999989322968754,
                0.9999980052705163,
                0.9999980052702786,
                0.9999980052702786,
                0.999999653367379,
                0.9999984465022455,
                0.9999992661787571,
                0.9999989322975118
            ],
            [
                0.9999990577550691,
                0.9999995549148419,
                0.999998790134028,
                0.9999980052707541,
                0.9999989322967482,
                0.9999996072136125,
                0.9999989322966208,
                0.9999996072138934,
                0.9999991684720715,
                0.9999996940977366
            ],
            [
                0.9999986290426297,
                0.9999930377462404,
                0.9999977396762412,
                0.9999984465018751,
                0.9999990577552937,
                0.9999980052705164,
                0.9999987901346049,
                0.999997097688361,
                0.9999980052700408,
                0.9999989322966208
            ],
            [
                0.999997438716568,
                0.9999962733589389,
                0.9999989322967482,
                0.9999994956524114,
                0.999999057755743,
                0.9999977396757022,
                0.9999977396751633,
                0.9999993524053562,
                0.9999991684721706,
                0.9999989322967481
            ],
            [
                0.9999984465024306,
                0.999999057755743,
                0.9999980052700408,
                0.9999991684719725,
                0.9999984465026158,
                0.9999982396561572,
                0.9999994284993486,
                0.9999977396757022,
                0.9999984465026158,
                0.9999996072137529
            ],
            [
                0.9999992661790195,
                0.999999352404893,
                0.9999995549151073,
                0.9999994284996893,
                0.9999990577552937,
                0.9999984465018751,
                0.9999996533674615,
                0.9999994956527722,
                0.9999996533673375,
                0.9999984465020603
            ],
            [
                0.9999977396748938,
                0.9999987901341723,
                0.999998446502801,
                0.9999977396759716,
                0.9999993524052018,
                0.9999982396565769,
                0.9999982396572065,
                0.9999974387184,
                0.999997097686631,
                0.9999994956524115
            ],
            [
                0.9999987901338838,
                0.9999991684719725,
                0.9999982396565769,
                0.9999990577549568,
                0.9999993524051246,
                0.9999984465024306,
                0.9999974387187053,
                0.9999994956525318,
                0.9999982396561571,
                0.9999980052700408
            ],
            [
                0.9999989322968754,
                0.9999991684719723,
                0.9999995549151072,
                0.9999980052695652,
                0.9999977396754328,
                0.9999996533672136,
                0.9999982396561572,
                0.9999996533674202,
                0.9999957771675624,
                0.9999993524053562
            ],
            [
                0.999999266179107,
                0.9999967112497585,
                0.999998005269803,
                0.9999996940976636,
                0.9999970976890529,
                0.9999989322968753,
                0.9999984465024306,
                0.9999993524053562,
                0.9999987901347491,
                0.9999996072138934
            ],
            [
                0.9999986290423029,
                0.9999991684721706,
                0.9999997300422546,
                0.9999990577556308,
                0.9999986290424663,
                0.9999984465026158,
                0.999998239656367,
                0.9999994284997573,
                0.9999997300422225,
                0.9999994956523514
            ],
            [
                0.9999980052695652,
                0.9999977396757022,
                0.9999974387168734,
                0.9999986290424664,
                0.9999984465018751,
                0.9999987901343165,
                0.9999982396561572,
                0.9999990577551814,
                0.9999986290429566,
                0.9999984465022455
            ],
            [
                0.9999996533675028,
                0.9999989322973846,
                0.9999998144608319,
                0.9999994956525317,
                0.999998239656367,
                0.99999893229713,
                0.9999977396751633,
                0.9999992661787571,
                0.9999987901347491,
                0.9999986290429567
            ],
            [
                0.9999996533673788,
                0.9999977396762411,
                0.999999730042319,
                0.9999997617630332,
                0.9999994956525317,
                0.9999984465022455,
                0.9999995549151072,
                0.9999994956525918,
                0.9999997617629764,
                0.9999986290427932
            ],
            [
                0.9999986290423029,
                0.9999986290432835,
                0.9999989322970028,
                0.999998005269803,
                0.9999977396754327,
                0.9999989322968754,
                0.9999980052695652,
                0.9999994284994849,
                0.9999952149072167,
                0.9999977396765106
            ],
            [
                0.9999977396746244,
                0.9999980052702785,
                0.9999986290429566,
                0.9999992661786695,
                0.9999977396757022,
                0.9999980052702786,
                0.9999993524049702,
                0.999989870006606,
                0.9999989322971299,
                0.9999984465020603
            ],
            [
                0.9999989322970028,
                0.9999982396569966,
                0.9999984465024306,
                0.9999987901337396,
                0.9999990577550691,
                0.9999996072138934,
                0.9999987901343165,
                0.9999994956527722,
                0.999999057755743,
                0.9999991684719723
            ],
            [
                0.9999992661788445,
                0.9999993524049703,
                0.999999352405279,
                0.9999984465020603,
                0.9999980052707541,
                0.999999266178932,
                0.9999990577552937,
                0.9999989322971299,
                0.9999974387177893,
                0.9999987901343165
            ],
            [
                0.999999352404893,
                0.9999992661788445,
                0.9999997300421903,
                0.9999982396572065,
                0.9999997617631469,
                0.9999996940978825,
                0.9999989322972572,
                0.999999352405279,
                0.9999994284993485,
                0.9999990577552937
            ],
            [
                0.9999995549148419,
                0.9999996533672549,
                0.999999554914895,
                0.9999994956525918,
                0.9999952149072169,
                0.9999996533674202,
                0.9999982396569966,
                0.999998790134028,
                0.9999980052707541,
                0.9999996940977366
            ],
            [
                0.9999987901341723,
                0.9999974387171787,
                0.9999987901337396,
                0.9999984465018751,
                0.9999982396567867,
                0.9999967112517189,
                0.9999995549147889,
                0.9999984465026158,
                0.9999984465020603,
                0.9999991684720715
            ],
            [
                0.9999996940977002,
                0.9999980052707541,
                0.9999980052700408,
                0.9999977396754328,
                0.9999992661792819,
                0.9999980052695652,
                0.9999982396574163,
                0.9999974387177893,
                0.9999984465020603,
                0.9999982396567867
            ],
            [
                0.9999984465024306,
                0.9999987901347491,
                0.9999980052693274,
                0.9999990577555185,
                0.9999977396759716,
                0.9999967112517189,
                0.9999992661790195,
                0.9999977396754327,
                0.9999957771655489,
                0.9999986290432834
            ],
            [
                0.9999989322973845,
                0.9999990577552937,
                0.9999984465020603,
                0.9999984465020603,
                0.9999986290423029,
                0.9999982396561571,
                0.9999994956524115,
                0.9999994284994849,
                0.9999996072137998,
                0.9999995549150541
            ],
            [
                0.9999993524053562,
                0.9999982396567868,
                0.9999994956525918,
                0.9999995549147358,
                0.9999980052693274,
                0.9999984465015047,
                0.9999994284994849,
                0.9999952149037942,
                0.9999995549148419,
                0.9999996940978095
            ],
            [
                0.999998239656367,
                0.9999995549150011,
                0.9999986290427931,
                0.9999986290426297,
                0.9999989322975119,
                0.9999982396574163,
                0.9999986290426298,
                0.9999987901347492,
                0.9999982396559474,
                0.9999957771660523
            ],
            [
                0.9999984465022455,
                0.9999970976869769,
                0.999998005269803,
                0.9999980052705163,
                0.9999990577554061,
                0.9999990577549568,
                0.9999962733598274,
                0.999998790134605,
                0.9999970976876689,
                0.9999977396746244
            ],
            [
                0.9999982396567867,
                0.9999991684722698,
                0.9999952149049351,
                0.9999991684718732,
                0.9999994284996211,
                0.9999995549147358,
                0.9999977396751633,
                0.9999992661788446,
                0.9999982396574163,
                0.9999986290424663
            ],
            [
                0.9999993524049703,
                0.9999984465018751,
                0.9999967112517187,
                0.999999694097846,
                0.9999982396565769,
                0.999998790134028,
                0.9999967112513268,
                0.9999994284993485,
                0.9999987901344607,
                0.9999996072138934
            ],
            [
                0.9999977396748938,
                0.9999984465015047,
                0.9999996072137529,
                0.9999993524050474,
                0.9999994956523514,
                0.9999987901344607,
                0.9999995549147358,
                0.9999977396754327,
                0.999997097686631,
                0.9999996072137529
            ],
            [
                0.9999977396751633,
                0.9999994956524114,
                0.9999996072138934,
                0.999998446502801,
                0.9999990577550691,
                0.9999982396572065,
                0.9999994956527722,
                0.9999996940977731,
                0.9999990577550691,
                0.999999352404893
            ],
            [
                0.9999996533672549,
                0.9999992661791071,
                0.9999987901341724,
                0.999998239656367,
                0.9999987901341723,
                0.9999984465018751,
                0.9999993524049702,
                0.9999995549147889,
                0.9999991684719723,
                0.9999980052707542
            ],
            [
                0.9999977396754327,
                0.9999992661786696,
                0.9999990577554061,
                0.9999997300421261,
                0.9999998555019446,
                0.9999990577556308,
                0.9999991684715759,
                0.999994577782323,
                0.9999992661788445,
                0.999999057755743
            ],
            [
                0.9999994284997573,
                0.9999996533672549,
                0.9999980052700408,
                0.9999991684718732,
                0.9999970976876691,
                0.9999980052709919,
                0.9999995549147889,
                0.9999996072137529,
                0.9999986290426298,
                0.9999984465015047
            ],
            [
                0.9999987901338838,
                0.9999987901341723,
                0.9999986290427932,
                0.9999989322966208,
                0.9999986290432835,
                0.9999996940977731,
                0.9999993524052018,
                0.9999997617630617,
                0.999999352405279,
                0.9999991684717742
            ],
            [
                0.9999977396746244,
                0.9999996533674615,
                0.9999995549150541,
                0.9999987901341723,
                0.9999977396765105,
                0.9999996533674615,
                0.9999996940978825,
                0.9999989322967481,
                0.9999990577552937,
                0.9999989322968754
            ],
            [
                0.9999989322968754,
                0.9999994284995529,
                0.9999990577552937,
                0.9999996533674201,
                0.9999994956527121,
                0.9999996533672549,
                0.9999977396746244,
                0.99999893229713,
                0.9999980052705163,
                0.9999987901337396
            ],
            [
                0.9999984465024306,
                0.9999996072139402,
                0.9999992661788445,
                0.9999977396765105,
                0.9999982396563669,
                0.9999970976880149,
                0.9999993524053562,
                0.9999980052709919,
                0.9999984465015047,
                0.9999996940978825
            ],
            [
                0.9999991684722698,
                0.9999962733607161,
                0.9999986290423029,
                0.9999994956525317,
                0.9999977396746245,
                0.9999977396751633,
                0.9999996533672549,
                0.9999945777816769,
                0.9999984465015047,
                0.9999990577549568
            ],
            [
                0.9999996940977002,
                0.9999996072137998,
                0.9999996072138465,
                0.9999996072138465,
                0.9999996072139402,
                0.9999987901338839,
                0.9999996072138934,
                0.9999994956525318,
                0.9999987901338839,
                0.9999994284996211
            ],
            [
                0.9999982396559474,
                0.99999862904312,
                0.999997097686977,
                0.9999980052709919,
                0.9999990577550691,
                0.9999980052695652,
                0.9999945777803841,
                0.9999945777823235,
                0.9999945777797378,
                0.9999987901337396
            ],
            [
                0.9999991684721706,
                0.9999994284992805,
                0.9999993524053562,
                0.9999989322971299,
                0.9999997300420937,
                0.9999994284997573,
                0.9999994956526519,
                0.9999996533673375,
                0.9999994956525918,
                0.9999987901338838
            ],
            [
                0.9999990577551814,
                0.9999993524049702,
                0.9999994284996891,
                0.9999994284994167,
                0.9999994956525318,
                0.999999057755743,
                0.9999994956525918,
                0.9999990577552937,
                0.9999996533674615,
                0.9999992661792819
            ],
            [
                0.9999996072137529,
                0.9999991684720715,
                0.9999992661786696,
                0.9999993524049703,
                0.9999997300420937,
                0.9999996533672136,
                0.9999984465024306,
                0.9999990577550693,
                0.9999996940977366,
                0.9999986290427932
            ],
            [
                0.9999997897567091,
                0.9999987901344607,
                0.9999991684719723,
                0.9999989322967482,
                0.9999993524054335,
                0.9999980052705163,
                0.9999986290426297,
                0.99999862904312,
                0.9999994284996893,
                0.9999996940978095
            ],
            [
                0.9999994284994849,
                0.999999266179107,
                0.9999993524054335,
                0.9999994956527121,
                0.9999992661791944,
                0.9999989322973846,
                0.9999991684719725,
                0.9999995549149481,
                0.999999057755743,
                0.9999989322966208
            ],
            [
                0.9999996940977731,
                0.9999990577549568,
                0.9999994956524716,
                0.999997438716568,
                0.9999982396574163,
                0.9999989322973846,
                0.999999554914842,
                0.9999987901343165,
                0.9999984465020603,
                0.9999989322967482
            ],
            [
                0.9999970976890528,
                0.9999952149037942,
                0.999998790134028,
                0.9999990577551815,
                0.9999977396759716,
                0.9999962733607161,
                0.9999986290432834,
                0.9999980052702785,
                0.9999974387171787,
                0.9999938558275958
            ],
            [
                0.9999990577552939,
                0.9999987901347491,
                0.9999984465022455,
                0.9999989322971299,
                0.9999996072137061,
                0.9999996072137998,
                0.999998239656367,
                0.9999980052705164,
                0.9999989322972572,
                0.9999993524049702
            ],
            [
                0.9999994284994167,
                0.9999982396565769,
                0.9999992661787571,
                0.9999992661790196,
                0.9999994956527121,
                0.999997438717484,
                0.9999996072138465,
                0.9999989322975118,
                0.999998790134028,
                0.9999989322970027
            ],
            [
                0.9999990577555185,
                0.9999996072137998,
                0.9999984465018751,
                0.9999993524053562,
                0.9999989322967482,
                0.999998446502801,
                0.9999994956525918,
                0.9999986290424664,
                0.9999982396572065,
                0.9999995549150011
            ],
            [
                0.99999862904312,
                0.9999986290427932,
                0.9999987901344607,
                0.9999996533675028,
                0.9999910603026309,
                0.9999995549150541,
                0.9999994284995529,
                0.9999984465018751,
                0.9999996940976272,
                0.9999989322967481
            ],
            [
                0.9999994284996893,
                0.9999996533672136,
                0.9999986290429567,
                0.9999994956525918,
                0.9999996072137061,
                0.9999996940978461,
                0.999999168471675,
                0.9999996940977731,
                0.9999982396565769,
                0.999999057755743
            ],
            [
                0.9999993524049703,
                0.9999996940977731,
                0.9999994956526519,
                0.999999168471675,
                0.9999996072138934,
                0.9999996533674614,
                0.9999990577554061,
                0.9999990577549568,
                0.9999994956527721,
                0.9999974387180948
            ],
            [
                0.9999984465024306,
                0.9999986290429566,
                0.9999996940976636,
                0.9999996533674614,
                0.9999991684719725,
                0.99999976176309,
                0.9999992661787571,
                0.9999980052693274,
                0.9999987901337396,
                0.9999996072137998
            ]
        ]
    },
    {
        "q_id": "10718_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999986290431209,
                0.9999962733602746,
                0.9999994284997575,
                0.9999989322966214,
                0.9999977396762422,
                0.9999945777823268,
                0.9999977396762431,
                0.9999970976880166,
                0.9999982396574166,
                0.9999982396563674
            ],
            [
                0.9999945777816819,
                0.9999957771665658,
                0.9999930377437717,
                0.9999987901347511,
                0.999983298570268,
                0.9999982396559483,
                0.9999952149072211,
                0.9999989322967483,
                0.9999974387168789,
                0.9999982396561595
            ],
            [
                0.9999993524051246,
                0.9999998724809875,
                0.9999994284994852,
                0.9999994956527724,
                0.9999987901337398,
                0.9999986290427939,
                0.9999990577552943,
                0.99999879013374,
                0.9999994956523516,
                0.9999989322971304
            ],
            [
                0.999998790134317,
                0.999995777165551,
                0.9999984465020608,
                0.9999980052707552,
                0.9999987901338846,
                0.999999653367379,
                0.9999980052693306,
                0.999999789756634,
                0.999998629043121,
                0.9999970976866346
            ],
            [
                0.9999957771675664,
                0.9999989322972594,
                0.9999970976869815,
                0.9999984465015053,
                0.9999977396751647,
                0.9999967112497629,
                0.9999962733602746,
                0.9999974387180984,
                0.9999987901344612,
                0.9999977396748954
            ],
            [
                6.47594566597747e-07,
                2.561281905293402e-06,
                2.9023116387069255e-06,
                1.5534975693488444e-06,
                7.338208055536515e-07,
                1.2098662604049616e-06,
                9.422445938917108e-07,
                3.7266392836374875e-06,
                1.7603430033991435e-06,
                5.043476486883855e-07
            ],
            [
                0.9999970976873255,
                0.9999962733607259,
                0.9999977396751667,
                0.9999970976880209,
                0.9999989322972574,
                0.9999970976887081,
                0.9999987901337398,
                0.9999977396765108,
                0.9999957771645536,
                0.9999993524051247
            ],
            [
                0.9999921107355481,
                0.999999266179195,
                0.9999986290427937,
                0.9999984465015056,
                0.9999984465016905,
                0.9999974387180968,
                0.9999910603026704,
                0.9999974387187077,
                0.9999974387168746,
                0.9999980052700451
            ],
            [
                0.9999986290429576,
                0.999998932296749,
                0.9999992661792821,
                0.9999996533672136,
                0.9999986290432842,
                0.9999974387174864,
                0.9999990577550694,
                0.9999992661791945,
                0.9999996072139403,
                0.9999990577552943
            ],
            [
                0.9999977396754344,
                0.9999982396561579,
                0.9999996533675028,
                0.9999986290426301,
                0.9999992661787573,
                0.999998239656999,
                0.999999554914895,
                0.9999993524049703,
                0.9999987901343169,
                0.9999992661792819
            ],
            [
                0.9999993524048931,
                0.9999990577550696,
                0.9999994956524115,
                0.9999993524051247,
                0.9999984465026165,
                0.999998446502802,
                0.9999993524053563,
                0.9999987901344611,
                0.9999984465028018,
                0.9999992661791072
            ],
            [
                0.9999984465015055,
                0.9999977396751648,
                0.9999982396565777,
                0.9999986290431208,
                0.9999957771675695,
                0.999998239657417,
                0.9999982396565773,
                0.9999970976887097,
                0.999997097687672,
                0.9999962733611664
            ],
            [
                0.9999938558268779,
                0.999996711250545,
                0.9999984465026162,
                0.9999962733602762,
                0.9999977396759727,
                0.9999952149055108,
                0.9999962733589419,
                0.9999977396754347,
                0.9999984465018755,
                0.9999984465016905
            ],
            [
                0.9999974387177933,
                0.9999952149055079,
                0.9999952149072209,
                0.9999982396569972,
                0.9999952149066503,
                0.9999992661790196,
                0.9999986290432842,
                0.9999930377404613,
                0.9999977396754338,
                0.999997739674895
            ],
            [
                0.999999266179107,
                0.999999653367379,
                0.9999970976880176,
                0.999999428499553,
                0.9999996072139403,
                0.999998005270517,
                0.9999989322966213,
                0.9999970976869815,
                0.9999974387165693,
                0.9999990577556311
            ],
            [
                0.9999989322973848,
                0.9999992661787571,
                0.9999967112513277,
                0.9999996533674615,
                0.9999986290427937,
                0.9999977396757035,
                0.9999980052709927,
                0.9999977396762426,
                0.9999993524049703,
                0.999997438718707
            ],
            [
                0.999998446502061,
                0.9999970976876701,
                0.9999962733607188,
                0.9999977396757037,
                0.999998446502617,
                0.9999990577557434,
                0.9999990577556309,
                0.9999980052695667,
                0.9999986290423036,
                0.9999986290431203
            ],
            [
                0.999995214903799,
                0.9999982396574169,
                0.9999977396757033,
                0.9999987901338843,
                0.9999982396572072,
                0.9999970976883621,
                0.9999977396746251,
                0.9999952149055108,
                0.9999885212277929,
                0.9999869928653616
            ],
            [
                2.5612825160096693e-06,
                5.422220908116881e-06,
                2.2603240283888175e-06,
                8.939700565834043e-06,
                8.939696303010449e-06,
                6.1441767990323395e-06,
                1.1478768124324254e-05,
                8.315282259009745e-07,
                7.889266347004826e-06,
                0.9999991684715764
            ],
            [
                0.9999930377462473,
                0.9999967112501541,
                0.9999970976876705,
                0.9999974387184011,
                0.9999910603005651,
                0.9999967112513313,
                0.9999980052705173,
                0.9999945777797645,
                0.9999982396561586,
                0.9999910603005062
            ],
            [
                0.9999987901344618,
                0.9999962733620603,
                0.9999977396746265,
                0.9999974387184016,
                0.9999980052705173,
                0.9999986290431214,
                0.9999974387165689,
                0.9999989322968762,
                0.9999984465018756,
                0.9999984465028016
            ],
            [
                1.0677033791495609e-06,
                1.2098655392811161e-06,
                0.9999938558268702,
                3.7266397280960194e-06,
                5.043476486883855e-07,
                1.370957370247318e-06,
                2.9023123309287002e-06,
                1.7603425837791042e-06,
                8.315280276505193e-07,
                2.260323758923431e-06
            ],
            [
                3.288750633545794e-06,
                6.144172403715875e-06,
                6.144173869312763e-06,
                2.5612812947077304e-06,
                0.9999990577557433,
                2.9023112930659533e-06,
                1.3007123811513407e-05,
                9.422448185101494e-07,
                4.785096205717126e-06,
                4.785096205830278e-06
            ],
            [
                0.9999962733589406,
                0.9999992661791945,
                0.999998005269566,
                0.9999984465026162,
                0.9999984465015053,
                0.999999730042126,
                0.9999977396746248,
                0.9999970976890542,
                0.9999952149038015,
                0.9999977396746255
            ],
            [
                0.9999970976883633,
                0.9999970976887079,
                0.9999982396572071,
                0.9999989322972574,
                0.9999993524048931,
                0.9999986290431203,
                0.9999984465028015,
                0.9999984465026165,
                0.9999980052693281,
                0.9999986290424666
            ],
            [
                0.9995121427775077,
                0.9988304896995871,
                0.9995694429324284,
                0.9988304898566552,
                0.9991959139852888,
                0.9995694429621763,
                0.9984988177142963,
                0.9924227597966535,
                0.9992903294700451,
                0.9940889308783365
            ],
            [
                0.9999992661790197,
                0.9999990577556309,
                0.9999992661786697,
                0.9999986290429577,
                0.999999266179282,
                0.9999984465018759,
                0.9999987901346051,
                0.9999989322970029,
                0.9999982396561586,
                0.9999989322967484
            ],
            [
                0.9999991684716752,
                0.9999997617631469,
                0.9999984465028016,
                0.9999997617630049,
                0.9999982396567885,
                0.9999994284994169,
                0.9999996533674617,
                0.9999995549150011,
                0.999997739675973,
                0.9999970976890566
            ],
            [
                0.9999756997564437,
                0.9999339478637301,
                0.9999546021477989,
                0.9999852610162919,
                0.9999910602994679,
                0.9999869928653624,
                0.9999810748495492,
                0.999975699759374,
                0.9999885212318875,
                0.9999852610216388
            ],
            [
                0.999997097689062,
                0.9999990577550708,
                0.9999984465016926,
                0.9999992661787571,
                0.9999984465024343,
                0.9999989322970035,
                0.999999168472072,
                0.9999990577549597,
                0.9999982396567885,
                0.9999982396574195
            ],
            [
                0.999996711250153,
                0.9999982396561579,
                0.99999743871657,
                0.9999967112493721,
                0.9999952149066492,
                0.9999977396751643,
                0.999995214906653,
                0.9999962733589435,
                0.9999930377454176,
                0.9999898700126676
            ],
            [
                0.9999945777823259,
                0.999997097688015,
                0.9999994956525317,
                0.9999885212318768,
                0.9999724642990808,
                0.9241418210233833,
                0.9999885212305157,
                0.9999991684716751,
                0.9999970976869772,
                0.9999984465018755
            ],
            [
                0.9999967112501515,
                0.999993037743756,
                0.999998239656787,
                0.9999970976869782,
                0.9999977396746254,
                0.9999991684721707,
                0.9999982396561573,
                0.9999832985721903,
                0.9999977396759722,
                0.9999977396757026
            ],
            [
                0.9999993524051246,
                0.9999993524053563,
                0.9999989322975119,
                0.999998790134605,
                0.9999995549148419,
                0.9999967112521175,
                0.9999962733602766,
                0.9999982396569977,
                0.9999974387168755,
                0.9999989322973847
            ],
            [
                0.9998415637273733,
                0.9989677688559263,
                8.31528325021115e-07,
                0.9998766054112915,
                0.9998601778606415,
                NaN,
                0.999891103052437,
                0.9997965729820132,
                0.9995694428188725,
                0.9999921107364748
            ],
            [
                0.9999967112497608,
                0.9999970976869782,
                0.999995214903228,
                0.9999957771660535,
                0.9999982396561585,
                0.999972464312389,
                0.999997739675166,
                0.9999970976873241,
                0.9999989322970031,
                0.9999952149072193
            ],
            [
                0.99999800527028,
                0.9999987901341729,
                0.9999898700127013,
                0.9999990577551817,
                0.9999945777823435,
                0.9999990577552946,
                0.999998239656791,
                0.9999977396762451,
                0.9999991684718736,
                0.999998629043286
            ],
            [
                0.9999987901338844,
                0.999999428499553,
                0.9999984465026165,
                0.9999984465018753,
                0.9999994956524114,
                0.9999984465022466,
                0.9999980052702796,
                0.9999993524051247,
                0.9999984465024311,
                0.9999952149049431
            ],
            [
                1.9947297214544894e-06,
                2.561283126639892e-06,
                4.785092782779884e-06,
                1.1478766755734576e-05,
                6.144176798255599e-06,
                1.5534973841705173e-06,
                9.422443692489024e-07,
                4.785096776133645e-06,
                4.785094494628999e-06,
                1.5534983101393749e-06
            ],
            [
                0.9999970976883611,
                0.999968798073805,
                0.9999970976866319,
                0.9999945777816824,
                0.9999785550440782,
                0.9999952149072173,
                0.9999756997535048,
                0.9999921107383603,
                0.9999967112497629,
                0.9999952149060771
            ],
            [
                1.2098652508287273e-06,
                1.994729008056074e-06,
                1.2098658277335738e-06,
                2.9023130230133794e-06,
                2.90231163910023e-06,
                1.5534979397500702e-06,
                1.9947290081177566e-06,
                1.553497384180408e-06,
                1.9947297214944016e-06,
                0.9999977396757032
            ],
            [
                0.9999982396567884,
                0.9999996072138934,
                0.9999984465022466,
                0.9999992661788452,
                0.9999994284992807,
                0.9999991684717744,
                0.9999980052693311,
                0.9999991684718735,
                0.9999987901344612,
                0.9999989322975121
            ],
            [
                6.962257908753841e-06,
                4.22283344433731e-06,
                0.9999967112497609,
                8.93969417150998e-06,
                3.2887506334201674e-06,
                6.475946438022905e-07,
                1.7603432133136672e-06,
                1.994729721482609e-06,
                0.9999810748496621,
                7.889265406681968e-06
            ],
            [
                0.9999993524051255,
                0.999999168471577,
                0.9999989322972573,
                0.9999993524048932,
                0.9999989322968766,
                0.9999996072139402,
                0.9999993524054336,
                0.9999996940978461,
                0.9999980052700426,
                0.9999986290426303
            ],
            [
                0.9999977396759734,
                0.9999980052700419,
                0.9999990577554062,
                0.9999977396759723,
                0.9999992661791944,
                0.9999994956525918,
                0.9999996940977366,
                0.9999982396565773,
                0.9999974387168742,
                0.999998932297512
            ],
            [
                5.4222183217274465e-06,
                2.9023109468548636e-06,
                4.22283344293164e-06,
                1.2098662603862553e-06,
                1.0677032518209896e-06,
                1.370956716481313e-06,
                1.7603434230921292e-06,
                4.785096205434246e-06,
                1.553497384058899e-06,
                3.2887502408573863e-06
            ],
            [
                0.9999987901341749,
                0.9999991684721714,
                0.9999989322966224,
                0.99999926617867,
                0.9999994956527728,
                0.9999984465020627,
                0.9999994956527121,
                0.9999996072138466,
                0.9999994956527722,
                0.9999994956526521
            ],
            [
                0.9999989322973851,
                0.9999996072137998,
                0.9999994284993488,
                0.9999994284996218,
                0.999999789756684,
                0.9999995549150013,
                0.9999996533672136,
                0.9999987901337413,
                0.999999428499553,
                0.9999996533672137
            ],
            [
                0.9999980052693282,
                0.9999996533674202,
                0.9999977396751634,
                0.9999921107355347,
                0.99999862904263,
                0.9999996940978095,
                0.9999994956525317,
                0.9999992661786697,
                0.9999962733598301,
                0.9999996940978095
            ],
            [
                0.9999997300422869,
                0.999999266179107,
                0.9999991684716756,
                0.9999993524053563,
                0.999999495652652,
                0.9999989322968759,
                0.9999995549150011,
                0.9999996533673376,
                0.999999495652532,
                0.9999990577557439
            ],
            [
                0.9999974387177895,
                0.9999930377437595,
                0.9999485577804146,
                0.9999546021097687,
                0.9999852610197967,
                0.9999974387168743,
                0.9999546021476081,
                0.9999869928668906,
                0.9999980052695658,
                0.999997438718706
            ],
            [
                0.9999977396762416,
                0.999998629042303,
                0.9999962733607201,
                0.9999986290432843,
                0.9999930377429289,
                0.9999952149066539,
                0.9999984465024314,
                0.9999986290426307,
                0.9999974387187064,
                0.9999989322975122
            ],
            [
                0.9999977396762424,
                0.999996711250546,
                0.9999980052693285,
                0.9999986290431205,
                0.9999967112493687,
                0.9999984465015048,
                0.999995214904941,
                0.9999984465020607,
                0.9999982396561578,
                0.9999970976869779
            ],
            [
                0.9999995549150013,
                0.9999974387184046,
                0.9999984465026167,
                0.9999991684716755,
                0.9999990577552946,
                0.9999982396574185,
                0.9999995549151073,
                0.9999945777817135,
                0.9999980052695703,
                0.9999984465016916
            ],
            [
                0.9999989322971303,
                0.9999938558246846,
                0.999998629043284,
                0.9999957771660557,
                0.9999991684718733,
                0.999997739676513,
                0.9999986290431204,
                0.9999982396574175,
                0.9999982396569969,
                0.9999970976887079
            ],
            [
                0.9999995549150542,
                0.9999998874648514,
                0.9999991684719727,
                0.9999989322975128,
                0.999998932296877,
                0.9999998362623137,
                0.999998790134606,
                0.9999984465028022,
                0.9999986290421405,
                0.9999993524052022
            ],
            [
                0.9999987901341726,
                0.9999990577555187,
                0.9999982396563676,
                0.9999994956525317,
                0.999999554914789,
                0.9999992661787572,
                0.9999994284994167,
                0.9999980052702788,
                0.9999986290429577,
                0.9999994284993488
            ],
            [
                0.9999962733598311,
                0.9999984465018755,
                0.9999994284993486,
                0.999998005270517,
                0.9999974387184075,
                0.9999987901340283,
                0.9999974387165718,
                0.9999990577550697,
                0.9999984465016913,
                0.999998932296876
            ],
            [
                0.9999984465022456,
                0.9999987901338849,
                0.9999921107336868,
                0.9999980052700433,
                0.9999989322975121,
                0.9999974387180968,
                0.9999990577555185,
                0.99999671124937,
                0.9999987901344618,
                0.9999974387168771
            ],
            [
                0.9999938558239337,
                0.9999339478396482,
                0.9999910602994357,
                0.9999962733620499,
                0.9999957771645421,
                0.9999485577864038,
                0.9999921107345942,
                0.999996711251719,
                0.9999938558239335,
                0.9820137922750644
            ],
            [
                0.99999926617867,
                0.9999991684718741,
                0.9999984465024323,
                0.9999992661789322,
                0.9999987901341729,
                0.999997739675976,
                0.9999987901343174,
                0.9999992661787575,
                0.9999974387168743,
                0.9999967112509376
            ],
            [
                0.9999980052707548,
                0.9999977396765122,
                0.9999987901340284,
                0.9999952149038086,
                0.9999984465028015,
                0.999998005269804,
                0.999998932297385,
                0.9999993524052019,
                0.9999962733616083,
                0.9999970976887095
            ],
            [
                0.9999977396748949,
                0.9999982396561573,
                0.9999970976866339,
                0.9999970976883669,
                0.9999898700114643,
                0.9999952149060852,
                0.9999957771645422,
                0.9999970976890556,
                0.9999957771655507,
                0.9999974387171804
            ],
            [
                0.9999852610163854,
                0.9999970976873288,
                0.9999898700078481,
                0.9999987901340285,
                0.9999952149032248,
                0.999997739676513,
                0.9999962733593941,
                0.9999938558276186,
                0.9999989322971303,
                0.9999967112501518
            ],
            [
                0.9999986290427936,
                0.999999428499553,
                0.9999986290424665,
                0.9999982396574177,
                0.9999993524051247,
                0.9999986290431204,
                0.9999992661792819,
                0.9999984465022459,
                0.9999986290423033,
                0.9999996533674202
            ],
            [
                0.9999982396572099,
                0.9999987901347506,
                0.9999993524054337,
                0.9999992661786699,
                0.9999982396565771,
                0.9999945777804023,
                0.9999952149060762,
                0.9999996072138935,
                0.9999990577550694,
                0.999999495652532
            ],
            [
                0.9999994284993486,
                0.9999993524051247,
                0.9999984465016907,
                0.9999994956524716,
                0.9999986290429568,
                0.9999990577550693,
                0.9999996072137062,
                0.999999495652652,
                0.999998790134461,
                0.9999991684718733
            ],
            [
                0.9999945777816819,
                0.9999910603058411,
                0.9999921107402446,
                0.9999724643025462,
                0.9999785550465216,
                0.9999952149066493,
                0.9999945777816796,
                0.9999938558268702,
                0.9999869928762022,
                0.9999982396572066
            ],
            [
                0.9999990577557434,
                0.9999987901340283,
                0.999999653367379,
                0.9999992661791945,
                0.9999996533673376,
                0.9999984465018755,
                0.9999987901343167,
                0.9999984465015053,
                0.999999057754957,
                0.9999977396757032
            ],
            [
                0.9999982396572067,
                0.999998005269328,
                0.9999970976887078,
                0.9999970976887081,
                0.9999987901347493,
                0.9999970976869786,
                0.9999977396746255,
                0.9999984465020608,
                0.9999980052693281,
                0.9999970976873239
            ],
            [
                0.999841563766739,
                0.9999599363174725,
                0.9995694429670988,
                0.9999885212291522,
                0.9999646437451117,
                0.9999962733611604,
                0.9998204720353157,
                0.9999546021368187,
                0.9999962733611618,
                0.9999785550490502
            ],
            [
                1.4738978456719842e-05,
                1.994729245822257e-06,
                3.7266383955611403e-06,
                5.422217676654099e-06,
                1.3709567165087443e-06,
                4.222834954561012e-06,
                5.422217030209884e-06,
                1.3709567164962755e-06,
                1.3709570434054234e-06,
                5.422218322664422e-06
            ],
            [
                0.9999989322968755,
                0.9999984465020632,
                0.9999990577554063,
                0.999998932297003,
                0.9999992661792821,
                0.9999990577554062,
                0.9999989322966213,
                0.9999980052702789,
                0.9999982396561597,
                0.999998790133741
            ],
            [
                0.9999984465020606,
                0.9999984465024311,
                0.99999709768767,
                0.9999980052695656,
                0.9999832985702045,
                0.9999991684722701,
                0.9999898700066072,
                0.9999980052705167,
                0.9999980052709928,
                0.9999982396569971
            ],
            [
                0.9999151889891562,
                0.9999945777784476,
                0.9999986290424666,
                0.9999974387165699,
                0.9999977396757032,
                0.9999980052702786,
                0.999998005269804,
                0.9999984465016905,
                0.9999984465024311,
                0.9999977396746249
            ],
            [
                0.9999977396751644,
                0.9999967112517198,
                0.9999974387180955,
                0.9999938558268671,
                0.999998005269329,
                0.9999952149032268,
                0.9999977396762416,
                0.999996711252113,
                0.9999974387187058,
                0.9999885212277922
            ],
            [
                0.9999994284995531,
                0.999998932297385,
                0.9999982396559479,
                0.9999991684715761,
                0.9999991684717744,
                0.9999992661791072,
                0.9999991684715761,
                0.9999996940978825,
                0.9999986290426303,
                0.999999266179195
            ],
            [
                0.9999991684722699,
                0.9999989322967486,
                0.9999990577550696,
                0.999998239656579,
                0.9999993524053565,
                0.9999994284994852,
                0.9999989322968762,
                0.9999989322971312,
                0.9999974387171838,
                0.999998239655949
            ],
            [
                0.9999982396559485,
                0.9999986290423036,
                0.9999974387177942,
                0.9999984465024322,
                0.9999977396765141,
                0.9999989322971302,
                0.9999982396561587,
                0.9999982396569972,
                0.9999970976869813,
                0.9999980052693277
            ],
            [
                0.9999485577743151,
                0.9999687980924588,
                0.9999910603026512,
                0.9999869928731113,
                0.9999945777829747,
                0.9999852610110228,
                0.9999756997593346,
                0.999994577781047,
                0.999992110739307,
                0.9999910603005073
            ],
            [
                2.561283432005142e-06,
                1.0129992187105678e-05,
                6.96225873895455e-06,
                9.422450431800595e-07,
                1.0129990979215566e-05,
                1.0129995808639442e-05,
                4.785092783210732e-06,
                4.222834954607099e-06,
                4.785092783210732e-06,
                1.3007131562845248e-05
            ],
            [
                0.9999977396748956,
                0.999996711249763,
                0.9999987901340284,
                0.9999982396565777,
                0.9999982396563686,
                0.9999974387177935,
                0.9999984465018759,
                0.9999994284993488,
                0.9999990577555187,
                0.9999977396757045
            ],
            [
                0.999997097687671,
                3.7266379512518984e-06,
                5.715005151550947e-07,
                7.889261644875049e-06,
                4.222834954561012e-06,
                6.475951069896949e-07,
                1.0677033791437343e-06,
                3.288748673035494e-06,
                6.144176066051891e-06,
                1.7603434231705793e-06
            ],
            [
                0.9999992661791072,
                0.9999977396765113,
                0.9999984465015055,
                0.9999989322972578,
                0.9999989322968756,
                0.999997739675703,
                0.9999970976876702,
                0.9999987901341726,
                0.9999982396574171,
                0.9999982396569969
            ],
            [
                0.999998446501876,
                0.9999970976887141,
                0.9999986290427949,
                0.9999987901343179,
                0.9999987901347503,
                0.9999980052695728,
                0.999998446501877,
                0.9999962733620563,
                0.9999962733589485,
                0.9999974387180979
            ],
            [
                0.9999962733620532,
                0.9999970976873258,
                0.9999957771680731,
                0.9999982396569972,
                0.9999986290431204,
                0.9999992661787572,
                0.999998446501877,
                0.9999986290424668,
                0.9999994284995531,
                0.9999990577555186
            ],
            [
                0.9999974387171804,
                0.999999428499485,
                0.9999910603026428,
                0.9999952149072197,
                0.9999938558254003,
                0.9999970976890556,
                0.9999987901344609,
                0.9999957771650465,
                0.999993037745411,
                0.9999910603058487
            ],
            [
                0.9999986290431205,
                0.9999995549150542,
                0.9999989322968758,
                0.9999993524049703,
                0.999999495652652,
                0.9999992661787579,
                0.9999993524052025,
                0.9999992661791947,
                0.9999992661791072,
                0.9999984465028017
            ],
            [
                0.9999869928684608,
                0.9999962733616138,
                0.9999970976866346,
                0.9999982396574175,
                0.9999962733593895,
                0.9999938558224803,
                0.9999910603069149,
                0.9999898700126629,
                0.9999982396572079,
                0.9999987901337397
            ],
            [
                0.9999990577551816,
                0.9999980052707583,
                0.9999996072138935,
                0.9999987901346062,
                0.9999990577555188,
                0.9999990577552941,
                0.9999986290431208,
                0.9999967112509416,
                0.9999982396559496,
                0.9999994956527121
            ],
            [
                0.9999970976880164,
                0.9999987901341724,
                0.9999992661789321,
                0.9999995549148419,
                0.9999977396757038,
                0.9999869928684734,
                0.99999879013403,
                0.9999977396746255,
                0.9999996072137062,
                0.9999987901338844
            ],
            [
                0.9999974387171832,
                0.9999986290421399,
                0.9999974387180984,
                0.999998790134605,
                0.9999952149072315,
                0.9999974387171818,
                0.9999921107346244,
                0.999995777166569,
                0.9999962733616101,
                0.999995214905518
            ],
            [
                0.9999967112521149,
                0.9999921107374654,
                0.9999945777803938,
                0.9999952149055112,
                0.9999990577556312,
                0.9999962733620518,
                0.9999970976869793,
                0.9999986290431208,
                0.9999977396746261,
                0.9999970976866337
            ],
            [
                0.999999554914895,
                0.9999982396563681,
                0.999998790134462,
                0.9999989322966213,
                0.9999987901347496,
                0.9999987901346071,
                0.9999987901346052,
                0.9999980052705186,
                0.9999992661788446,
                0.9999995549150542
            ],
            [
                0.9999898700041997,
                0.9999724642990576,
                0.9999962733616057,
                0.9999832985701983,
                0.9997694932324457,
                0.999903897562355,
                0.9999251537460674,
                0.9996646497773521,
                0.999986992869992,
                0.9999756997476926
            ],
            [
                0.9999989322970033,
                0.9999987901341726,
                0.9999992661787573,
                0.9999974387177905,
                0.999998005269328,
                0.9999992661787575,
                0.99999916847227,
                0.9999986290423032,
                0.9999986290426311,
                0.9999989322973847
            ],
            [
                0.9999987901341734,
                0.9999957771670606,
                0.9999982396565773,
                0.9999986290423037,
                0.999995214903799,
                0.9999967112493681,
                0.9999982396563684,
                0.9999869928730982,
                0.9999982396559488,
                0.9999974387187076
            ],
            [
                0.9980732656568055,
                0.9996200155179261,
                0.9999810748540244,
                0.9986749778463638,
                0.999860177866698,
                0.6513548714339145,
                0.997817283884773,
                0.999978555044086,
                0.9978172839233121,
                0.9999687980849346
            ],
            [
                4.2228319339950885e-06,
                3.7266383952696564e-06,
                1.7603430034655858e-06,
                1.994729008056074e-06,
                7.338210679909462e-07,
                1.0129990979031306e-05,
                6.475948753965404e-07,
                2.260323758939877e-06,
                1.3709575337016483e-06,
                8.3152792852928e-07
            ],
            [
                6.475947210012481e-07,
                1.5534977545384963e-06,
                3.2887478892055875e-06,
                2.260324836696773e-06,
                1.209865683500459e-06,
                2.260325375634003e-06,
                2.5612819053586272e-06,
                2.5612812946890944e-06,
                1.5534979397500702e-06,
                6.1441760661636525e-06
            ],
            [
                0.9999962733611649,
                0.999998239656999,
                0.9999986290429574,
                0.9999992661788448,
                0.9999990577554064,
                0.9999989322972576,
                0.9999989322966212,
                0.999996711252116,
                0.9999989322966217,
                0.9999986290423047
            ],
            [
                0.9999987901338839,
                0.9999921107365078,
                0.9999974387180954,
                0.99999303774542,
                0.9999921107393102,
                0.9999970976880169,
                0.9999957771680695,
                0.9999977396751638,
                0.9999990577557432,
                0.9999962733616088
            ],
            [
                0.9999982396559485,
                0.9999980052709926,
                0.9999957771650513,
                0.9999910603016114,
                0.999998790134461,
                0.9999957771670798,
                0.9999986290421403,
                0.9999980052700415,
                0.9999952149049505,
                0.9999980052700426
            ],
            [
                0.9999724643188569,
                0.999978555051631,
                0.9998766054139955,
                0.9999852610127773,
                0.9999945777829709,
                0.9999756997506094,
                0.9999756997651296,
                0.99994855779862,
                7.338209805170655e-07,
                0.9999885212305183
            ],
            [
                0.999999352405279,
                0.999999057755294,
                0.9999996072137998,
                0.9999997897566841,
                0.9999982396563679,
                0.9999994956527122,
                0.9999994284995531,
                0.9999989322971302,
                0.9999996940978461,
                0.9999986290427939
            ],
            [
                0.9999970976869788,
                0.9999970976883629,
                0.9999957771680698,
                0.9999982396569977,
                0.9999982396561581,
                0.9999987901338844,
                0.9999945777823347,
                0.999993855823943,
                0.9999984465026164,
                0.9999992661792821
            ],
            [
                3.288748673265808e-06,
                7.338210680002898e-07,
                1.99472924590571e-06,
                1.370956716519966e-06,
                6.9622545892184106e-06,
                1.209865827740176e-06,
                1.3709573702111586e-06,
                1.5534977544932838e-06,
                1.0677027427525368e-06,
                2.5612831266165976e-06
            ],
            [
                3.2887490653647836e-06,
                3.1201900203407254e-05,
                4.785094494672519e-06,
                2.902312331081799e-06,
                8.939693106182721e-06,
                2.5612831266946347e-06,
                6.1441767987808774e-06,
                3.288750633545794e-06,
                0.9999982396563677,
                1.1478770861211786e-05
            ],
            [
                0.9999990577551817,
                0.9999994956523515,
                0.999998790134605,
                0.9999996072138934,
                0.9999974387165733,
                0.9999984465028033,
                0.9999992661791947,
                0.9999984465018757,
                0.9999989322966213,
                0.9999986290424682
            ],
            [
                2.2603245673155757e-06,
                1.670142383167491e-05,
                5.422217030495909e-06,
                5.715005832853093e-07,
                8.315284241597959e-07,
                1.5534983101549167e-06,
                1.5534973841895917e-06,
                1.760343423160973e-06,
                2.26032402841657e-06,
                2.9023126770343703e-06
            ],
            [
                0.9999599363079184,
                0.9999038975627116,
                0.9999417087555206,
                0.9999869928699929,
                0.9999810748562998,
                0.999925153782314,
                0.9999546021261644,
                0.9999756997535455,
                0.9999910603058387,
                0.9999417087207643
            ],
            [
                0.9999995549150011,
                0.9999993524051247,
                0.9999989322966213,
                0.999999352405279,
                0.9999992661791948,
                0.9999995549149482,
                0.999998446501877,
                0.9999994956524116,
                0.9999991684719726,
                0.999999057754957
            ],
            [
                0.9999987901341729,
                0.9999994956524116,
                0.9999986290424666,
                0.9999991684721714,
                0.9999996940976638,
                0.9999986290432835,
                0.9999990577551819,
                0.9999994956527722,
                0.99999916847227,
                0.9999970976887081
            ],
            [
                4.7850944942634305e-06,
                2.260325375650449e-06,
                1.3007126909916233e-05,
                7.338212429537553e-07,
                8.315284241597959e-07,
                1.2098656835076114e-06,
                1.7603436329978976e-06,
                3.288749457409966e-06,
                0.9999980052707559,
                3.288748673265808e-06
            ],
            [
                1.1478765387667046e-05,
                2.260324567268294e-06,
                0.9999974387171825,
                2.9023112931213857e-06,
                2.902312677060767e-06,
                4.785095065093186e-06,
                0.9999952149072298,
                4.785095635413826e-06,
                5.422219615750493e-06,
                2.902311985079115e-06
            ],
            [
                0.9999987901346057,
                0.999998932297385,
                0.9999993524049705,
                0.9999986290423055,
                0.9999990577550699,
                0.9999984465015062,
                0.9999977396759744,
                0.9999984465024327,
                0.9999982396561583,
                0.9999991684720723
            ],
            [
                2.5612816000145246e-06,
                6.962255419380732e-06,
                2.902312677060767e-06,
                1.9947301970813926e-06,
                1.5534983101393749e-06,
                2.1444956070870452e-05,
                4.222831934321543e-06,
                5.422220262195015e-06,
                1.3709575336947905e-06,
                1.7603425837791042e-06
            ],
            [
                0.999999789756659,
                0.9999987901347501,
                0.9999992661791074,
                0.9999986290432846,
                0.9999989322971305,
                0.9999996533674617,
                0.9999970976880166,
                0.9999989322966215,
                0.9999987901343169,
                0.999998239655948
            ],
            [
                0.9999938558239445,
                0.9999967112513284,
                0.9999938558268658,
                0.9999921107393058,
                0.9999938558254033,
                0.9999967112497602,
                0.9999980052698033,
                0.9999974387187065,
                0.999996273360273,
                0.9999974387184011
            ],
            [
                2.902313023039776e-06,
                1.0129990979031306e-05,
                9.422444815765128e-07,
                1.147876675341695e-05,
                5.422217676925328e-06,
                4.785095064819011e-06,
                4.785094494463623e-06,
                0.9999970976883731,
                1.7603434231505666e-06,
                3.288750633569722e-06
            ],
            [
                0.9999987901340299,
                0.9999977396762467,
                0.9999967112517234,
                0.9999989322966213,
                0.9999994284995531,
                0.9999987901343169,
                0.9999982396559491,
                0.9999977396765154,
                0.9999962733611766,
                0.9999987901347499
            ],
            [
                4.222831934202483e-06,
                0.9999984465016906,
                3.2887506333394084e-06,
                2.5612831266165976e-06,
                1.5534979397592542e-06,
                1.9947299592570416e-06,
                2.5612825159421147e-06,
                5.043472879525233e-07,
                3.7266410609940346e-06,
                1.7603436330259153e-06
            ],
            [
                0.9999967112501611,
                0.9999974387187149,
                0.9999991684719726,
                0.9999945777797601,
                0.9999991684717747,
                0.9999980052693321,
                0.999999554914789,
                0.9999990577556311,
                0.9999982396559502,
                0.9999977396757073
            ],
            [
                0.9999994284996894,
                0.9999987901338849,
                0.999998629042632,
                0.9999994284997575,
                0.999999168471576,
                0.9999991684721706,
                0.9999991684716752,
                0.9999984465028027,
                0.9999990577551819,
                0.9999993524050476
            ],
            [
                0.999996273359829,
                0.9999945777797434,
                0.9999974387177912,
                0.9999974387171802,
                0.9999962733616061,
                0.9999982396561578,
                0.9999970976880155,
                0.9999952149049361,
                0.9999910603005078,
                0.9999970976883628
            ],
            [
                0.9999945777823311,
                0.9999921107402454,
                0.9999921107374284,
                0.9999921107383586,
                0.9999987901338843,
                0.9999974387187074,
                0.9999962733607186,
                0.9999885212305295,
                0.9999930377462478,
                0.9999957771680713
            ],
            [
                0.999933947863362,
                0.9999832985761816,
                0.9999869928684512,
                0.9999785550465091,
                0.9999724642990824,
                0.9999756997621891,
                0.999986992865342,
                0.9999921107402363,
                0.9999898700102406,
                0.9999910603026356
            ]
        ]
    },
    {
        "q_id": "10518_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                6.1441767989541075e-06,
                0.00020342702151471094,
                7.889260703906985e-06,
                2.7535700926183532e-05,
                3.5356254902111115e-05,
                1.300712534701587e-05,
                0.914900959053549,
                0.00013982208963786078,
                3.535626333809042e-05,
                0.00026119030746825014
            ],
            [
                0.9740426426138259,
                1.670142582102693e-05,
                0.00015843629165593985,
                0.0009110513100070403,
                0.9990889487761945,
                0.003593602377165058,
                7.484623594113693e-05,
                0.0013250224625034274,
                0.009708478128999526,
                0.00023050679508022573
            ],
            [
                1.6701415869924985e-05,
                4.222831934156396e-06,
                1.670142781086525e-05,
                1.1478769492392108e-05,
                1.473898021151881e-05,
                5.829125856000775e-05,
                2.430023781329673e-05,
                5.1442232001825764e-05,
                1.3007126912826352e-05,
                5.144219516222186e-05
            ],
            [
                2.4300246513165137e-05,
                4.785093924156175e-06,
                1.6701427811898146e-05,
                1.3007134661628471e-05,
                6.962258738827909e-06,
                3.2887478892055875e-06,
                7.889261644875049e-06,
                4.006368261266023e-05,
                6.962256248314727e-06,
                7.484620934866355e-05
            ],
            [
                1.4738976693529666e-05,
                0.004609572777623611,
                5.422218969306048e-06,
                0.9465966720833627,
                6.962255419279419e-06,
                7.889263525663481e-06,
                0.0008040858040288018,
                5.422220261849814e-06,
                4.222832940942332e-06,
                3.2887482811220126e-06
            ],
            [
                1.5534977544565482e-06,
                1.3709567165461505e-06,
                1.0677026153919963e-06,
                1.3709572068272963e-06,
                2.902312677007974e-06,
                8.315282259089153e-07,
                1.553498495308628e-06,
                1.2098655392871682e-06,
                1.5534971988495103e-06,
                1.9947306726049992e-06
            ],
            [
                3.1201915071864306e-05,
                3.535626334953767e-05,
                4.785093353739995e-06,
                7.889265406681968e-06,
                2.902311292920774e-06,
                6.144173136243255e-06,
                1.8925143718318983e-05,
                0.0003799845701474846,
                4.222833444106873e-06,
                2.144495094975719e-05
            ],
            [
                1.5534979396024226e-06,
                1.5534979396815448e-06,
                8.93970055911822e-06,
                1.7603438421496099e-06,
                2.5612828210277558e-06,
                2.2603245665981198e-06,
                4.7850933521167006e-06,
                1.5534975692259223e-06,
                5.043474081957179e-07,
                1.5534983099564047e-06
            ],
            [
                6.144173136885882e-06,
                3.5356242262551455e-05,
                1.3007130011655787e-05,
                6.962258738701267e-06,
                1.4738985483879434e-05,
                8.93969417214416e-06,
                8.939698434153684e-06,
                1.8925143725341476e-05,
                6.144175333926503e-06,
                1.8925141468298646e-05
            ],
            [
                0.0021827169630882276,
                0.0004878571685927017,
                0.00020342692247890746,
                0.000108896909056849,
                8.481107137554162e-05,
                5.8291258521838744e-05,
                0.0010322312602757805,
                0.0004878570359297787,
                0.00013982204026107567,
                0.9997388096917338
            ],
            [
                7.484622716319649e-05,
                4.785092783415276e-06,
                4.2228349539810764e-06,
                3.2887494573561262e-06,
                2.1444948408977715e-05,
                6.962259568889411e-06,
                1.3007133114011233e-05,
                1.0129987353242826e-05,
                8.481101089742407e-05,
                6.144172403592939e-06
            ],
            [
                3.2887502400378273e-06,
                1.994729721396435e-06,
                4.2228329408924035e-06,
                1.994729959224386e-06,
                6.962257908487893e-06,
                6.962259568889411e-06,
                9.422445938964242e-07,
                1.8925141463066202e-05,
                1.3709567165461505e-06,
                1.0677024881941248e-06
            ],
            [
                1.4738988984685677e-05,
                0.00020342706960015957,
                4.006369207500901e-05,
                7.889265406567165e-06,
                1.147876402018431e-05,
                1.0129989771473008e-05,
                1.1478764019328247e-05,
                0.962673111451103,
                1.3007130014636887e-05,
                1.1478765388314311e-05
            ],
            [
                2.5612822106421996e-06,
                3.2887498493325602e-06,
                1.209865683500459e-06,
                7.889260690733345e-06,
                4.785095635296322e-06,
                1.4738976691867467e-05,
                2.561282821352716e-06,
                7.889265401788488e-06,
                1.2098653950315304e-06,
                1.99472900790731e-06
            ],
            [
                3.1201911234600784e-05,
                4.7850944937411915e-06,
                2.56128159959988e-06,
                1.147877086073156e-05,
                2.2603242978007868e-06,
                2.5612828208367393e-06,
                4.222832437443716e-06,
                2.2603248366762157e-06,
                4.222835457794923e-06,
                3.288749065209246e-06
            ],
            [
                2.7535687797204028e-05,
                8.315284241333265e-07,
                1.370957206753107e-06,
                5.422219616085833e-06,
                0.0003799845711534717,
                1.7603432132912532e-06,
                5.422218967649081e-06,
                2.260323489192885e-06,
                1.5534983101393749e-06,
                4.222835455966783e-06
            ],
            [
                2.144495605448738e-05,
                2.43002523020584e-05,
                1.7603438428460541e-06,
                6.144172403592939e-06,
                1.892514822937613e-05,
                2.4300246515109972e-05,
                3.120191135412508e-05,
                8.481108168178473e-05,
                1.6701421842961097e-05,
                1.1478768122987964e-05
            ],
            [
                0.9999898700102289,
                0.9999930377454103,
                0.9999898700053983,
                0.9999970976866309,
                0.9999832985701949,
                0.9999724642957752,
                0.9999832985741745,
                0.9999952149072165,
                0.9999938558239334,
                0.9999977396751633
            ],
            [
                0.00012339461790178356,
                5.144219521574275e-05,
                7.889266345770692e-06,
                6.144174601097106e-06,
                2.75357009220765e-05,
                7.484624505179073e-05,
                1.3007123810306773e-05,
                1.892515048889829e-05,
                6.962259568889411e-06,
                1.14787681240737e-05
            ],
            [
                2.260323489435463e-06,
                3.72664061671159e-06,
                3.5356246478738656e-05,
                4.222832940777184e-06,
                3.72664061671159e-06,
                2.4300246506623417e-05,
                2.260323758319041e-06,
                1.6701429805655623e-05,
                2.902311293147782e-06,
                8.939694169591174e-06
            ],
            [
                8.939699500327152e-06,
                7.889262584508638e-06,
                0.00017952800811157416,
                0.00013982202357701158,
                0.5,
                0.000626334224529721,
                3.120192622803585e-05,
                4.0063696888092954e-05,
                8.9396941718352e-06,
                0.02931223345424867
            ],
            [
                1.9947306726358406e-06,
                6.144172404129392e-06,
                1.9947299592570416e-06,
                3.2887482811908074e-06,
                1.3709568799823232e-06,
                1.4738976696371488e-05,
                1.9947290081286418e-06,
                1.994729721436347e-06,
                3.2887482811579057e-06,
                5.422218322940583e-06
            ],
            [
                1.0677031245851707e-06,
                1.7603430034311638e-06,
                9.422444815563743e-07,
                2.5612815999679353e-06,
                2.561283431942246e-06,
                9.422450431912e-07,
                1.5534983101301911e-06,
                7.338207180661203e-07,
                2.2603251060985603e-06,
                1.5534979397394734e-06
            ],
            [
                4.785092783149804e-06,
                6.144177531007026e-06,
                2.5612825159677387e-06,
                3.7266392839425286e-06,
                7.889265406438011e-06,
                8.939700566143004e-06,
                4.22283344293164e-06,
                1.1478772221429265e-05,
                2.902312331125353e-06,
                3.288748672879957e-06
            ],
            [
                4.785093353787868e-06,
                4.539786862564012e-05,
                3.7266388397382506e-06,
                2.4300246520590875e-05,
                0.0024726230538388455,
                0.00012339460375757237,
                0.0011695104800552285,
                0.00033535022531137545,
                0.9399133515091156,
                4.7850939242083995e-06
            ],
            [
                4.0063706492255065e-05,
                3.120190763922401e-05,
                3.726640615840528e-06,
                4.006370166619866e-05,
                7.889264466344872e-06,
                4.0063711283916205e-05,
                1.5534971989809095e-06,
                1.8925154997134284e-05,
                1.9947306726213275e-06,
                8.481107135579669e-05
            ],
            [
                8.939698431942181e-06,
                1.012999097799944e-05,
                8.93969949923766e-06,
                4.222832939432965e-06,
                2.902312676398219e-06,
                1.8925143707303306e-05,
                4.222833444429485e-06,
                3.120190391410763e-05,
                1.6701421840804172e-05,
                2.2603234888763e-06
            ],
            [
                2.75356812513986e-05,
                0.0001233945894966614,
                1.6701419850389357e-05,
                3.535624225509145e-05,
                1.3007131565376817e-05,
                1.8925145979561802e-05,
                4.2228324375512536e-06,
                1.6701425824307884e-05,
                5.82912445884589e-05,
                1.6701425824307884e-05
            ],
            [
                1.994730196992497e-06,
                8.939695237813028e-06,
                2.9023133690188264e-06,
                2.5612831262112703e-06,
                1.3007134665130082e-05,
                3.288749849209925e-06,
                1.0129992180269573e-05,
                1.7603438428460541e-06,
                8.93969523678858e-06,
                6.1441767989541075e-06
            ],
            [
                3.535625062547117e-05,
                1.2098658277335738e-06,
                6.144173868882483e-06,
                1.0129993392342568e-05,
                2.561282210618905e-06,
                1.012998977022003e-05,
                2.902312331081799e-06,
                1.8925150487521332e-05,
                0.00017952805118096838,
                2.4300249419722622e-05
            ],
            [
                0.0010322311308689025,
                1.4738981969615573e-05,
                1.9947292455918548e-06,
                6.144172404129392e-06,
                1.370956716519966e-06,
                6.96225541916544e-06,
                1.2098655392354511e-06,
                1.0677024881829577e-06,
                6.144174601309452e-06,
                1.5534979396448094e-06
            ],
            [
                1.4738987241494252e-05,
                1.0129988564099116e-05,
                1.0129987354882753e-05,
                1.6701425820540864e-05,
                2.1444948404530884e-05,
                0.5926665999540698,
                3.72664017246987e-06,
                1.4738976691331275e-05,
                0.0002959572387247301,
                0.0007096703302060429
            ],
            [
                2.902310946944611e-06,
                1.3007130011300897e-05,
                1.4738985478142165e-05,
                7.889260702141888e-06,
                3.1201918794144304e-05,
                3.12019150568812e-05,
                1.370956716529941e-06,
                2.2603242978377903e-06,
                7.484625387601897e-05,
                1.553498309846199e-06
            ],
            [
                1.994729008074216e-06,
                3.2887506334201674e-06,
                1.994729008105057e-06,
                1.6701419847381817e-05,
                4.785093924047376e-06,
                2.2603245672025095e-06,
                2.2603242978007868e-06,
                2.2603237588597026e-06,
                1.473897669245728e-05,
                2.9023109471689794e-06
            ],
            [
                4.222834954607099e-06,
                1.8925157262061825e-05,
                1.670142582254589e-05,
                1.3007134664822509e-05,
                5.829124467582348e-05,
                4.539785226681024e-05,
                2.7535700933696396e-05,
                2.7535684519993744e-05,
                0.9669140250674249,
                4.5397890270732005e-05
            ],
            [
                3.12019113244994e-05,
                2.430023781329673e-05,
                2.2603251062147097e-06,
                1.0129988563546333e-05,
                1.1478764018576587e-05,
                5.829127933751884e-05,
                6.962258739169842e-06,
                6.962255419279419e-06,
                3.5356250696598434e-05,
                6.9622554153915155e-06
            ],
            [
                2.753569108693614e-05,
                3.120192250564146e-05,
                1.0677024881829577e-06,
                5.829127937441555e-05,
                2.1444940738662144e-05,
                1.4738980207363312e-05,
                5.144222589407736e-05,
                7.88926164421493e-06,
                8.481107159026786e-05,
                4.006368260814213e-05
            ],
            [
                1.1478766754377407e-05,
                1.4738987241494252e-05,
                6.962256249327861e-06,
                1.8925148238291944e-05,
                2.1444940740066406e-05,
                5.422218322940583e-06,
                4.006370646383477e-05,
                0.00010889694762958362,
                1.4738987233478162e-05,
                6.605213671058347e-05
            ],
            [
                0.00012339454426500544,
                1.3007133109421283e-05,
                1.4738976691331275e-05,
                6.144173868882483e-06,
                1.8925145914156225e-05,
                3.535625061723943e-05,
                1.9947292458603553e-06,
                1.1478772224060087e-05,
                4.2228344511197656e-06,
                8.315280276096808e-07
            ],
            [
                1.5534979397677313e-06,
                2.561281294558644e-06,
                1.3709568799679844e-06,
                1.209865827740176e-06,
                1.5534977545497995e-06,
                2.430023781444595e-05,
                4.785093353013212e-06,
                1.4738981968864903e-05,
                4.22283394762097e-06,
                1.5534983101061718e-06
            ],
            [
                6.144176798255599e-06,
                2.561282210562998e-06,
                2.561283126639892e-06,
                1.2098653950205268e-06,
                9.422443692446175e-07,
                3.7266406165319545e-06,
                5.422218321135672e-06,
                3.726639283291774e-06,
                1.9947306726049992e-06,
                1.76034300345598e-06
            ],
            [
                4.222834953082369e-06,
                4.006368259662828e-05,
                1.5534975693488444e-06,
                2.2603242978007868e-06,
                2.5612828212676906e-06,
                2.260323758835034e-06,
                3.288748280891699e-06,
                3.2887498488809053e-06,
                7.889266345584138e-06,
                4.222832940777184e-06
            ],
            [
                2.2603245672867952e-06,
                2.5612819051373276e-06,
                9.422447061953531e-07,
                3.2887478891487563e-06,
                5.422220261544064e-06,
                7.889264463890957e-06,
                3.2887478890769702e-06,
                3.288748280837859e-06,
                4.222831934202483e-06,
                3.726639727994339e-06
            ],
            [
                8.939699499432793e-06,
                3.7266383950256237e-06,
                3.726639284017094e-06,
                1.1478773597118638e-05,
                5.422218322851817e-06,
                4.7850950647493785e-06,
                8.93969417199781e-06,
                1.7603440526806268e-06,
                4.22283394786293e-06,
                2.2603240283888175e-06
            ],
            [
                1.760344052650207e-06,
                1.3709575336860625e-06,
                1.9947301969471416e-06,
                2.561282210562998e-06,
                4.222833443968609e-06,
                2.9023116390421582e-06,
                3.2887502412970765e-06,
                1.7603425836678333e-06,
                3.7266406163624873e-06,
                2.5612825159421147e-06
            ],
            [
                0.0011695103689516398,
                0.0028009263454198755,
                1.0129990979694647e-05,
                0.8354835411997897,
                1.1478769493331685e-05,
                6.962256249112569e-06,
                0.00029595699218500754,
                5.144220135754627e-05,
                6.144176065940129e-06,
                6.962257909121104e-06
            ],
            [
                7.338213304143191e-07,
                1.7603425836246058e-06,
                8.93969950000193e-06,
                1.7603434230921292e-06,
                2.2603245668941476e-06,
                4.222832939978334e-06,
                1.3709568799106278e-06,
                5.422217030288788e-06,
                3.2887478887419687e-06,
                1.3709578605455302e-06
            ],
            [
                2.260324028351814e-06,
                8.93969949923766e-06,
                5.422217029844958e-06,
                4.222834450820197e-06,
                1.7603430032662588e-06,
                1.3709567162469001e-06,
                4.785096203293062e-06,
                1.9947306711264317e-06,
                2.2603245672025095e-06,
                1.892515274546026e-05
            ],
            [
                1.4738978451438343e-05,
                5.422219615069953e-06,
                4.785093353687772e-06,
                1.892515499637696e-05,
                1.1478765386623071e-05,
                3.288750241500471e-06,
                3.120192250393883e-05,
                1.4738988992031526e-05,
                8.93970056565517e-06,
                4.785096205260165e-06
            ],
            [
                1.670142582300158e-05,
                2.430024941459533e-05,
                1.0129995807441742e-05,
                4.539787937568435e-05,
                7.88925976359915e-06,
                6.9622545872301346e-06,
                2.430025231213619e-05,
                0.00103223098549626,
                1.0129994599901296e-05,
                2.4300232036606334e-05
            ],
            [
                3.7266401724291984e-06,
                0.8933094081846422,
                6.9622537542311375e-06,
                1.670142184171555e-05,
                0.0010322309071078824,
                1.6701417860795016e-05,
                0.00023050674193329587,
                0.00023050665953679899,
                0.5621765008857981,
                1.8925152742706337e-05
            ],
            [
                5.144221972794322e-05,
                1.5534983101478522e-06,
                3.7266410609160796e-06,
                2.902312330965655e-06,
                2.753569437476538e-05,
                8.939699500489763e-06,
                5.144221973505439e-05,
                8.481108157318755e-05,
                3.2887502414436403e-06,
                8.939699500327152e-06
            ],
            [
                1.0129994601301684e-05,
                1.1478764019077695e-05,
                6.962254589332388e-06,
                8.939696303010449e-06,
                2.144495096457996e-05,
                5.1442232038504445e-05,
                1.3007133109847152e-05,
                1.670142183934597e-05,
                9.610240339544534e-05,
                1.1478769488633793e-05
            ],
            [
                4.0063711244273545e-05,
                4.539787941498982e-05,
                5.829127246412803e-05,
                0.00012339461851940337,
                1.892515725149365e-05,
                6.144172404129392e-06,
                2.7535684513582775e-05,
                6.144172404129392e-06,
                2.1444958631232504e-05,
                7.484623577341946e-05
            ],
            [
                1.4738980205754734e-05,
                1.30071315602427e-05,
                3.288748673265808e-06,
                1.3007126909537681e-05,
                3.288750240223275e-06,
                6.962259564786214e-06,
                4.5397879411686836e-05,
                2.9023126767360923e-06,
                2.5612819051722694e-06,
                3.7266392836374875e-06
            ],
            [
                1.7603434231505666e-06,
                2.5612831265909735e-06,
                3.7266392839832006e-06,
                3.726639728224814e-06,
                4.222834954687752e-06,
                4.222833947897496e-06,
                1.9947292458603553e-06,
                4.785096205930373e-06,
                2.5612812947077304e-06,
                2.5612816000331606e-06
            ],
            [
                0.001325022511798957,
                0.00013982204044010233,
                0.8519528019683105,
                0.0004878571414016247,
                0.9046505254608136,
                6.144174601499446e-06,
                0.9971990725119767,
                6.605216824066585e-05,
                0.0002611902138101439,
                0.001169510085413153
            ],
            [
                3.7266383953679482e-06,
                4.539787944042276e-05,
                1.1478772229551402e-05,
                3.288750633518874e-06,
                2.902311639126627e-06,
                2.561281599914358e-06,
                4.222831933726245e-06,
                4.785093353352668e-06,
                6.144173136019732e-06,
                6.962254589617333e-06
            ],
            [
                2.1444950959977102e-05,
                3.120191135412508e-05,
                1.4738988994980593e-05,
                6.1441746016670885e-06,
                0.6791786861878392,
                4.785094494576774e-06,
                2.260325375520937e-06,
                0.991422513968537,
                1.670141587031992e-05,
                5.144222527128841e-05
            ],
            [
                3.7266383952696564e-06,
                6.9622562489985925e-06,
                1.0129988563730593e-05,
                7.889266346746518e-06,
                1.3007123809289414e-05,
                0.0005527785417675967,
                1.0129989771657269e-05,
                5.42221961567159e-06,
                6.144174601410037e-06,
                8.93969310584124e-06
            ],
            [
                4.222832940942332e-06,
                0.0003353500256990463,
                1.4738980207899506e-05,
                3.7266383953679482e-06,
                4.53978577543791e-05,
                1.067702488159652e-06,
                8.93970056529743e-06,
                4.7850950646797465e-06,
                8.939696302457574e-06,
                6.962254588977791e-06
            ],
            [
                0.0007096705429164252,
                0.9995121427635432,
                0.998073265103177,
                4.539787902160484e-05,
                0.9982992775191885,
                0.996406397930468,
                2.144495096457996e-05,
                0.9991959142482559,
                6.605212101402784e-05,
                0.7057850154599562
            ],
            [
                2.4300249418927004e-05,
                5.14422258772351e-05,
                1.3007126911335805e-05,
                8.939693106020111e-06,
                5.144223811518898e-05,
                0.00013982210704821174,
                9.610244911137376e-05,
                2.1444945840269323e-05,
                2.4300246522270504e-05,
                5.422217676486429e-06
            ],
            [
                3.72664017246987e-06,
                0.6224593312018546,
                0.6224593312018546,
                6.144175333926503e-06,
                6.962257908880483e-06,
                3.288749457409966e-06,
                3.2887482810801374e-06,
                0.9706877667047451,
                1.5534973841309562e-06,
                3.726639727994339e-06
            ],
            [
                5.8291286364010624e-05,
                3.535626333088765e-05,
                1.4738980213985297e-05,
                9.610243762261058e-05,
                1.4738987239295859e-05,
                9.610239184236401e-05,
                8.481104129042625e-05,
                3.1201900209877224e-05,
                9.610240320107613e-05,
                2.902311984915459e-06
            ],
            [
                1.6701423833831836e-05,
                1.1478766757049986e-05,
                6.962257909501028e-06,
                7.889263525663481e-06,
                1.8925155005051806e-05,
                2.5612819052374947e-06,
                7.889264465699106e-06,
                5.42221767672807e-06,
                8.93969523678858e-06,
                5.422221555069497e-06
            ],
            [
                4.222835457664342e-06,
                0.00012339457467379009,
                6.962253759486771e-06,
                1.3007123809289414e-05,
                1.67014178576052e-05,
                4.222833444229772e-06,
                0.00013982207363327857,
                0.00010889688308554166,
                2.7535704219423216e-05,
                1.8925157259824262e-05
            ],
            [
                0.0021827165158312496,
                6.962254585203866e-06,
                0.003172683490476894,
                0.9997040429714769,
                0.9964063971226186,
                0.8670357666736772,
                1.8925157249015125e-05,
                0.9993736658239283,
                0.00037998452362887115,
                5.422218323093458e-06
            ],
            [
                8.481105133072609e-05,
                3.1201907643310305e-05,
                2.7535681228559507e-05,
                2.753568453191415e-05,
                4.0063692179945426e-05,
                1.3007131562845248e-05,
                1.1478764019787597e-05,
                1.6701425819447213e-05,
                3.726640616630245e-06,
                1.670142183934597e-05
            ],
            [
                6.605216037292109e-05,
                2.753568450657077e-05,
                5.829125836916275e-05,
                5.144223201267966e-05,
                2.5612828206736765e-06,
                1.3007130009739366e-05,
                6.9622537587775775e-06,
                1.1478773598099973e-05,
                2.753568122996191e-05,
                1.1478769492141554e-05
            ],
            [
                2.1444953517842076e-05,
                7.338208930315157e-07,
                9.422443692489024e-07,
                4.222834954461155e-06,
                3.120191135264947e-05,
                2.430024651705481e-05,
                2.9023126765196424e-06,
                4.785094492383368e-06,
                8.939700565996655e-06,
                1.2098659719524008e-06
            ],
            [
                2.902311293034278e-06,
                5.422220261948442e-06,
                1.2098658277181688e-06,
                2.1444945851269378e-05,
                1.1478773596283455e-05,
                1.9947301969217434e-06,
                2.561282515886208e-06,
                1.300712535865635e-05,
                7.889260704179641e-06,
                1.4738988997044936e-05
            ],
            [
                1.300712535865635e-05,
                5.1442231929965494e-05,
                2.2603245672867952e-06,
                1.3007134664822509e-05,
                6.962257079275089e-06,
                8.939697367703906e-06,
                1.3007126906509262e-05,
                1.892514146382353e-05,
                2.902313022952668e-06,
                3.5356254858380065e-05
            ],
            [
                2.5612812946681295e-06,
                0.00020342699589597716,
                8.93969417150998e-06,
                7.484625391195843e-05,
                7.889260704179641e-06,
                5.422220906716348e-06,
                2.4300249412738893e-05,
                1.8925152750692706e-05,
                4.539786316895279e-05,
                0.0001795279867897595
            ],
            [
                2.1444958625381407e-05,
                8.481103114029641e-05,
                2.144495096457996e-05,
                5.8291272451829125e-05,
                0.0002034269725502577,
                0.8670357649558007,
                3.726641061027928e-06,
                2.144495096387783e-05,
                0.00012339455978987673,
                9.610241479471069e-05
            ],
            [
                0.9998415637642979,
                0.9999810748472479,
                0.9999785550541436,
                0.999975699762166,
                0.9999910603047617,
                0.9669140182743435,
                0.9999810748472552,
                0.9998415637832834,
                0.9999952149037942,
                0.00017952805037124592
            ],
            [
                1.0129990970702682e-05,
                2.7535687809124434e-05,
                8.939695231991565e-06,
                2.4300246514137558e-05,
                1.4738981964843453e-05,
                2.902311293147782e-06,
                1.3007123803043302e-05,
                6.144173136243255e-06,
                1.012998977022003e-05,
                7.889259763857458e-06
            ],
            [
                7.8892625849535e-06,
                2.561282821352716e-06,
                1.6701425825128124e-05,
                3.7266392836374875e-06,
                3.120192251903545e-05,
                5.144222580312921e-05,
                5.422220908703723e-06,
                1.9947301969707264e-06,
                4.222834451254188e-06,
                1.9947294836483373e-06
            ],
            [
                1.0129995809597604e-05,
                1.2098662603631479e-06,
                3.2887498492936755e-06,
                2.4300232033865884e-05,
                4.785095065045315e-06,
                5.144219521574275e-05,
                6.144172404218801e-06,
                2.5612828212676906e-06,
                6.144175333021237e-06,
                6.144172404218801e-06
            ],
            [
                0.00020342701999345053,
                0.0005527785876572925,
                0.0003353500675747937,
                0.9999339478474597,
                0.00015843621630633637,
                8.481103059114049e-05,
                1.670142975762608e-05,
                0.00026119027276063744,
                4.785095064148803e-06,
                0.0001795279212127229
            ],
            [
                0.0010322310634044696,
                0.0004305570281164427,
                0.00020342694747018628,
                1.4738981965326028e-05,
                0.0004305570278158316,
                0.0013250223800874675,
                8.481106054667591e-05,
                0.00013982209038651802,
                0.0003799845632161223,
                0.0002959571664014533
            ],
            [
                1.3709568798220997e-06,
                1.4738987217714078e-05,
                1.0677032518700286e-06,
                3.7266379512112265e-06,
                1.5534977545497995e-06,
                3.2887486732000038e-06,
                3.288749849000549e-06,
                1.0677028698868336e-06,
                1.7603430034655858e-06,
                1.7603430034151537e-06
            ],
            [
                2.9023116385379885e-06,
                2.260324567227179e-06,
                5.422217676654099e-06,
                1.4738985482753428e-05,
                7.889265406681968e-06,
                1.0677029972993568e-06,
                6.144177523675487e-06,
                2.260324028372372e-06,
                7.8892625849535e-06,
                5.422218968477564e-06
            ],
            [
                0.8175744739711884,
                1.147876538789672e-05,
                3.7266410608245674e-06,
                2.1444948392516633e-05,
                1.1478770859332632e-05,
                4.5397890237206746e-05,
                8.93969310584124e-06,
                4.006370648569653e-05,
                4.7850927830148924e-06,
                7.889265406438011e-06
            ],
            [
                2.1444948406091176e-05,
                1.8925148232956223e-05,
                0.9994472213917935,
                8.939698434153684e-06,
                0.8670357598021707,
                0.00026119040089840026,
                2.7535691096552598e-05,
                0.9997965729541156,
                7.889263525893087e-06,
                5.8291251531398806e-05
            ],
            [
                6.475947981975644e-07,
                2.9023109469842055e-06,
                1.7603440526806268e-06,
                1.067702488159652e-06,
                3.7266406165319545e-06,
                1.9947290080905435e-06,
                2.902312677007974e-06,
                1.7603430033799313e-06,
                2.561281905293402e-06,
                1.2098662604049616e-06
            ],
            [
                1.5534983100765009e-06,
                2.561282515988704e-06,
                2.260325375650449e-06,
                4.785094493636744e-06,
                8.315279285251204e-07,
                1.0129993392342568e-05,
                8.939698430218506e-06,
                1.9947299591354906e-06,
                5.422217676575195e-06,
                4.785095063713602e-06
            ],
            [
                9.422445938917108e-07,
                8.315280276505193e-07,
                2.1444953520182517e-05,
                8.939694171331106e-06,
                1.4738980209829803e-05,
                2.5612822106841303e-06,
                2.4300234842119066e-05,
                2.5612822106421996e-06,
                1.473898372500477e-05,
                1.300712380455751e-05
            ],
            [
                7.889266345957247e-06,
                1.0129993394314164e-05,
                8.939693106182721e-06,
                2.1444958625381407e-05,
                8.481108164661406e-05,
                0.0004878572290488596,
                2.7535687809124434e-05,
                0.00010889693501231766,
                0.8175744739711883,
                2.2603245672867952e-06
            ],
            [
                1.7603430033799313e-06,
                7.889261643727018e-06,
                1.5534981249496567e-06,
                4.785096205651846e-06,
                2.2603248367173307e-06,
                2.2603242978213447e-06,
                1.553498495308628e-06,
                1.3709576971061233e-06,
                9.61024260093965e-05,
                1.7603432132912532e-06
            ],
            [
                0.6791786926816161,
                4.5397879408714157e-05,
                2.4300240714549077e-05,
                3.726639728224814e-06,
                1.0129994599624903e-05,
                4.006368737181739e-05,
                7.889265406567165e-06,
                2.56128159999123e-06,
                6.1441760661636525e-06,
                3.726638839806038e-06
            ],
            [
                2.4300246496634032e-05,
                1.3007128460040644e-05,
                1.670142183825232e-05,
                0.0001584362349852524,
                0.0002959570256557056,
                8.481106147345398e-05,
                1.3007126911974612e-05,
                NaN,
                3.2887478892055875e-06,
                0.0001584361786580577
            ],
            [
                0.9990889487692538,
                0.9999485577863596,
                0.9999646437577169,
                0.9998204720984322,
                0.999981074844992,
                0.9999687980737538,
                0.9996200154239604,
                0.9999687980737526,
                0.9998415637076294,
                0.9997388096597697
            ],
            [
                4.006371127619171e-05,
                6.962259568648793e-06,
                0.00029595723739864535,
                7.889266347248781e-06,
                4.539787395384217e-05,
                1.6701415868193372e-05,
                2.260324297853209e-06,
                0.00017952804965033173,
                5.144223814063949e-05,
                3.5356238024242e-05
            ],
            [
                1.7603427935342762e-06,
                1.760344052714248e-06,
                1.9947294836483373e-06,
                4.785096776303374e-06,
                5.1442225848041874e-05,
                7.484623561332549e-05,
                7.484620910307734e-05,
                1.3007128453983806e-05,
                2.430024651705481e-05,
                0.9525741244662868
            ],
            [
                6.144173868781898e-06,
                8.93969310662177e-06,
                4.7850944945245504e-06,
                6.144173136645595e-06,
                1.6701423833831836e-05,
                3.120190392409636e-05,
                2.430024362393472e-05,
                1.6701419850389357e-05,
                2.1444945851269378e-05,
                1.6701425823882575e-05
            ],
            [
                2.1444958618516124e-05,
                4.5397890183368146e-05,
                1.0129989768322136e-05,
                0.00012339455975396863,
                1.5534977545384963e-06,
                3.120190762197074e-05,
                7.88925976283858e-06,
                1.4738985479697128e-05,
                4.539786301833694e-05,
                1.4738978425969173e-05
            ],
            [
                0.0001398221072211353,
                1.0129994601688632e-05,
                2.430023203298187e-05,
                3.1201926235527406e-05,
                1.892514597770291e-05,
                2.4300237829827827e-05,
                1.5534981248133121e-06,
                1.300712846361323e-05,
                5.8291279387562654e-05,
                2.4300237812059105e-05
            ],
            [
                1.4738976697631541e-05,
                7.889265406681968e-06,
                6.962259569313662e-06,
                1.473897669838221e-05,
                2.7535694373763664e-05,
                6.144172404520556e-06,
                0.00010889693466689962,
                8.481104102140151e-05,
                7.889259763326495e-06,
                2.1444956064317223e-05
            ],
            [
                1.6701421842961097e-05,
                5.8291251603919903e-05,
                3.1201922520397544e-05,
                3.120191134788212e-05,
                4.006367783266211e-05,
                6.144176065940129e-06,
                2.753569108573408e-05,
                3.5356242243001115e-05,
                1.0129988564099116e-05,
                5.829124466818968e-05
            ],
            [
                0.0005527785348535924,
                5.422220908560712e-06,
                4.222832939663403e-06,
                0.8933093996634686,
                2.260324028351814e-06,
                1.9947297214944016e-06,
                5.422220907160179e-06,
                1.670142184171555e-05,
                3.120190020613144e-05,
                8.93970056668775e-06
            ],
            [
                3.5356254898252494e-05,
                1.670141585731762e-05,
                6.962259569560613e-06,
                7.88925976397226e-06,
                8.939700566143004e-06,
                1.670142781520948e-05,
                1.0129990978220553e-05,
                2.144495351940237e-05,
                3.1201900203407254e-05,
                2.753569764256071e-05
            ],
            [
                2.9023126769762986e-06,
                1.4738985478142165e-05,
                2.2603248366762157e-06,
                1.994730196992497e-06,
                5.422217676101776e-06,
                2.1444956059090247e-05,
                6.962257907348116e-06,
                1.1478765384430723e-05,
                3.726638395215427e-06,
                8.939699499432793e-06
            ],
            [
                5.422218967491273e-06,
                1.8925145982866508e-05,
                3.5356254890278004e-05,
                7.88926634644516e-06,
                3.2887498493983645e-06,
                1.6701415866735174e-05,
                5.422218323290717e-06,
                1.0677029972745947e-06,
                1.1478773597390071e-05,
                7.889260704308795e-06
            ],
            [
                3.7266397273639203e-06,
                2.2603237587774727e-06,
                1.553498495308628e-06,
                1.2098656835076114e-06,
                1.3709578605355551e-06,
                1.3709575336530204e-06,
                3.2887482809455384e-06,
                1.994729483666479e-06,
                1.9947301970287804e-06,
                1.2098653950315304e-06
            ],
            [
                0.9998766054546057,
                0.9999832985721844,
                0.00010889688286529814,
                5.144219520863158e-05,
                8.48110816287202e-05,
                0.00026119033439382194,
                0.00010889694789102389,
                0.999994577778445,
                0.9999962733593831,
                0.9999869928653331
            ],
            [
                8.481107158224648e-05,
                0.00029595699218500754,
                3.120191136649749e-05,
                8.939695238089467e-06,
                0.7772998663336158,
                2.4300240728162926e-05,
                1.4738976697229395e-05,
                0.00012339461887489388,
                4.785092783267308e-06,
                NaN
            ],
            [
                1.0129987356706945e-05,
                1.0129989769188164e-05,
                2.90231094680735e-06,
                9.610241465487671e-05,
                1.994729483508644e-06,
                4.0063682616886836e-05,
                0.0001795280497757081,
                1.147877086073156e-05,
                1.1478770856952364e-05,
                5.144221363404434e-05
            ],
            [
                1.8925157262578186e-05,
                1.4738988997768797e-05,
                0.001700722438316153,
                1.3007134663521234e-05,
                8.939697659801502e-06,
                1.3007123808910861e-05,
                5.422219615898437e-06,
                0.00010889691955882287,
                0.00010889692216847163,
                5.8291258404363053e-05
            ],
            [
                6.144173136556186e-06,
                1.0129992186589747e-05,
                5.8291258521838744e-05,
                7.889259763326495e-06,
                7.889261644760245e-06,
                0.00043055698335043853,
                2.1444945847446664e-05,
                6.144174600985344e-06,
                1.4738985483879434e-05,
                1.892514597770291e-05
            ],
            [
                4.785094494402695e-06,
                2.9023123305485934e-06,
                3.726639726997871e-06,
                4.785093353274332e-06,
                5.422217030032353e-06,
                6.144173135025058e-06,
                1.7603440525461408e-06,
                8.939695231633822e-06,
                1.0129992185299915e-05,
                6.962259566635186e-06
            ],
            [
                0.00017952798487777037,
                4.5397868348354965e-05,
                0.00037998443405181374,
                4.006368258117931e-05,
                2.4300237825230942e-05,
                0.00012339460310763532,
                0.00010889688272269444,
                0.0006263342054744172,
                0.0003353502259260477,
                9.610245956396804e-05
            ],
            [
                5.144221974590828e-05,
                1.0129995809044816e-05,
                1.6701429804288556e-05,
                6.144173136556186e-06,
                3.120190018853766e-05,
                1.6701419850389357e-05,
                8.939700566143004e-06,
                0.5312093733737563,
                6.1441738691562974e-06,
                1.4738988994980593e-05
            ],
            [
                0.00012339463351284362,
                0.0003353501064454828,
                3.120192622315499e-05,
                0.00020342694831072675,
                0.0017007224313982832,
                0.9770226286264394,
                0.0011695101010519647,
                0.00012339455982578483,
                3.535626332895835e-05,
                0.00037998452481173507
            ],
            [
                2.7535691088138193e-05,
                2.1444950955608285e-05,
                2.9023112930659533e-06,
                1.9947299592824403e-06,
                0.00012339456000173458,
                8.939698434332555e-06,
                1.892514597832254e-05,
                6.962253759486771e-06,
                0.0013250224125917053,
                6.96225873895455e-06
            ],
            [
                1.670142183983204e-05,
                3.535624224094318e-05,
                4.785094494185095e-06,
                3.726640616748873e-06,
                3.726638393398738e-06,
                1.3007123810306773e-05,
                1.4738976695459959e-05,
                1.4738983723235332e-05,
                3.726639283901856e-06,
                1.8925152752138513e-05
            ],
            [
                1.0129988562901417e-05,
                8.48110106105056e-05,
                2.753569106650115e-05,
                1.0129994601688632e-05,
                3.726639727940109e-06,
                0.6513548646660542,
                2.1444958628814052e-05,
                1.8925148238291944e-05,
                4.0063687390327e-05,
                0.00010889692206231105
            ],
            [
                0.00017952802572956456,
                0.00029595702651679897,
                8.481104094612394e-05,
                0.00029595698621763105,
                0.0002959571559305529,
                0.00017952794155502738,
                0.0010322310299123417,
                0.0005527785163304928,
                0.0009110513442333175,
                0.754914975839675
            ],
            [
                2.7535687811228037e-05,
                1.3709578605455302e-06,
                4.222834954403545e-06,
                1.6701415867707307e-05,
                3.2887494573232236e-06,
                2.1444945850567248e-05,
                2.5612834318257725e-06,
                2.260323489299784e-06,
                5.422221555192784e-06,
                3.7266406167827664e-06
            ],
            [
                4.7850927830148924e-06,
                1.6701427803088173e-05,
                6.144173869072478e-06,
                4.78509563466093e-06,
                2.260324836567261e-06,
                6.962257075260544e-06,
                2.260325105870372e-06,
                1.0129987353832463e-05,
                2.2603245671490605e-06,
                2.9023123309973302e-06
            ],
            [
                6.9622545892184106e-06,
                2.9023126770343703e-06,
                4.222835457449267e-06,
                4.539788481371178e-05,
                1.3709567165087443e-06,
                1.9947299592407137e-06,
                1.6701427807280505e-05,
                1.6701421837705495e-05,
                1.5534979397592542e-06,
                1.3007126910649678e-05
            ],
            [
                1.994729721396435e-06,
                0.0005527785434719792,
                3.535625487947387e-05,
                2.7535691083329963e-05,
                7.889263519392366e-06,
                1.1478770859019436e-05,
                1.6701423833011596e-05,
                4.785093352238557e-06,
                1.1478765385746131e-05,
                2.9023109471452223e-06
            ],
            [
                5.422219616085833e-06,
                1.5534973841705173e-06,
                1.553497384196656e-06,
                1.994729959224386e-06,
                2.5612822106654943e-06,
                1.4738988990959142e-05,
                4.785095065045315e-06,
                2.5612825159677387e-06,
                1.7603438427852151e-06,
                1.3709567165386693e-06
            ],
            [
                3.288750241473551e-06,
                3.288749065209246e-06,
                1.67014238321306e-05,
                6.1441738684354385e-06,
                3.2887486732000038e-06,
                2.7535704220525098e-05,
                1.2098661161789477e-06,
                8.939694170940841e-06,
                6.605212098759701e-05,
                6.144175333837093e-06
            ],
            [
                3.7266401722360055e-06,
                3.7266383943816487e-06,
                0.0001088968831124779,
                3.7266392836984955e-06,
                3.2887498494282754e-06,
                1.670142781025767e-05,
                5.422221555192784e-06,
                1.012998977108606e-05,
                6.962257909501028e-06,
                4.785094492383368e-06
            ],
            [
                2.260324836651547e-06,
                3.1201918779615236e-05,
                1.2098655392811161e-06,
                4.222833444506298e-06,
                1.7603434231505666e-06,
                4.222832434974193e-06,
                1.370956716450141e-06,
                1.1478768122987964e-05,
                1.7603438427467903e-06,
                1.9947299592407137e-06
            ],
            [
                2.4300232033865884e-05,
                7.889261641674914e-06,
                1.4738980213020151e-05,
                3.5356254894393866e-05,
                5.422217030209884e-06,
                2.144495096723246e-05,
                2.7535704195382043e-05,
                1.1478769490387674e-05,
                1.6701425823882575e-05,
                3.1201922523121745e-05
            ],
            [
                1.2098656834723998e-06,
                2.561281294616881e-06,
                9.422444815495185e-07,
                2.5612831266165976e-06,
                3.7266406162947e-06,
                5.422219615898437e-06,
                3.7266383953679482e-06,
                9.422449308335287e-07,
                9.422449308138184e-07,
                5.422217029391264e-06
            ]
        ]
    },
    {
        "q_id": "10387_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999980052709918,
                0.9999785550566994,
                0.999988521231875,
                0.9999646437492907,
                0.9999756997650613,
                0.999968798081189,
                0.9999724642990565,
                0.9999485577740787,
                0.9999339478238272,
                0.9999151889889798
            ],
            [
                0.9999993524049702,
                0.9999962733611603,
                0.9999980052702785,
                0.9999986290426298,
                0.9999991684715759,
                0.9999982396567868,
                0.9999957771680656,
                0.9999952149043645,
                0.9999993524049702,
                0.999995214904935
            ],
            [
                1.0129992187253088e-05,
                7.88926164518358e-06,
                7.889261644982674e-06,
                6.144175334367959e-06,
                6.144173136885882e-06,
                2.2603251062270446e-06,
                7.889263525893087e-06,
                1.4738987241172537e-05,
                1.5534975693869924e-06,
                3.288750633569722e-06
            ],
            [
                0.9999930377404304,
                0.999999352405279,
                0.9999852610127591,
                0.9999724643187504,
                0.9999852610215426,
                0.999986992873086,
                0.9999417087066621,
                0.9999910602994333,
                0.9999724643089054,
                0.9999785550413609
            ],
            [
                0.9999991684718732,
                0.999999266178757,
                0.9999974387165681,
                0.999999266178932,
                0.9999986290426297,
                0.9999986290424663,
                0.9999984465016899,
                0.9999990577551814,
                0.9999989322972572,
                0.9999982396565769
            ],
            [
                0.9999989322970027,
                0.9999967112497586,
                0.9999910603058279,
                0.9999869928668845,
                0.9999977396757022,
                0.9999984465016899,
                0.9999967112497584,
                0.9999952149032235,
                0.9999945777810302,
                0.99999862904312
            ],
            [
                0.9999990577549568,
                0.9999992661789321,
                0.9999991684719725,
                0.9999974387171787,
                0.9999967112493665,
                0.9999974387187053,
                0.9999952149043646,
                0.9999986290423029,
                0.9999989322972572,
                0.9999989322967482
            ],
            [
                0.9999991684721706,
                0.9999982396565767,
                0.9999987901344607,
                0.9999984465016899,
                0.9999952149066462,
                0.9999987901337396,
                0.999998790134028,
                0.9999991684721706,
                0.99999862904312,
                0.9999987901343165
            ],
            [
                0.9999687980811937,
                0.9999977396759716,
                0.9999898700078125,
                0.9999869928684344,
                0.9999980052695652,
                0.9999962733620487,
                0.9999724643056184,
                0.9999724643023419,
                0.9999984465024306,
                0.9999852610127575
            ],
            [
                0.9999986290421394,
                0.9999977396759718,
                0.9999986290424663,
                0.999999057755743,
                0.9999982396567868,
                0.9999989322975118,
                0.9999996533675028,
                0.9999992661791071,
                0.9999989322975118,
                0.9999967112497585
            ],
            [
                0.9998911030387843,
                0.999796573075106,
                0.9997388096594276,
                0.9998204720339496,
                0.9995694428574259,
                0.9991959139535346,
                0.9993736659752047,
                0.9994472214516722,
                0.9986749773534086,
                0.9996646498497762
            ],
            [
                0.9999990577552937,
                0.9999994956525918,
                0.9999957771650453,
                0.9999967112513268,
                0.99999303774624,
                0.9999974387177893,
                0.999997438717484,
                0.9999945777829693,
                0.9999974387180947,
                0.9999974387177893
            ],
            [
                0.999998239656367,
                0.9999952149072165,
                0.9999986290432834,
                0.9999977396746244,
                0.999999266178932,
                0.9999982396567867,
                0.9999980052707541,
                0.9999994284993486,
                0.9999984465018751,
                0.9999977396765105
            ],
            [
                0.9999993524049703,
                0.9999989322972572,
                0.9999986290423029,
                0.999996273360716,
                0.9999993524051246,
                0.9999987901344607,
                0.9999967112497585,
                0.9999989322970027,
                0.9999986290426297,
                0.9999982396569966
            ],
            [
                0.9999974387177893,
                0.9999996533675028,
                0.9999967112509347,
                0.9999987901340279,
                0.9999990577551815,
                0.9999989322967481,
                0.9999989322975118,
                0.9999885212318759,
                0.9999930377420905,
                0.9999989322972572
            ],
            [
                0.999998790134028,
                0.9999967112513267,
                0.9999992661790196,
                0.9999982396561571,
                0.9999977396759716,
                0.9999977396762411,
                0.9999984465022455,
                0.9999980052700407,
                0.9999991684718732,
                0.9999982396572064
            ],
            [
                0.9999980052695652,
                0.9999987901341723,
                0.9999646437450824,
                0.9999970976880148,
                0.9999986290432835,
                0.9999989322966208,
                0.9999977396748938,
                0.9999984465020603,
                0.9999898700053974,
                0.9999987901337396
            ],
            [
                0.9999952149066461,
                0.9999810748472499,
                0.9998204719486806,
                0.9999938558224684,
                0.9999810748540162,
                0.9999038975507579,
                0.9999952149060757,
                0.9999756997505788,
                0.9999885212332431,
                0.9999945777790911
            ],
            [
                0.9999982396574163,
                0.9999986290423029,
                0.9999986290426297,
                0.9999987901338838,
                0.999997438716568,
                0.9999982396572065,
                0.9999993524052019,
                0.9999977396751633,
                0.999999168471675,
                0.9999990577552937
            ],
            [
                0.9999967112497585,
                0.9999974387171787,
                0.9999885212264011,
                0.9999974387180947,
                0.9999852610127582,
                0.9999952149032236,
                0.9999945777816766,
                0.9999970976887068,
                0.9999869928715353,
                0.9999952149043645
            ],
            [
                0.9999984465022455,
                0.9999930377412611,
                0.9999970976873228,
                0.9999885212277693,
                0.9999977396751633,
                0.9999982396569966,
                0.9999921107336528,
                0.9999957771655488,
                0.9999974387180947,
                0.9999921107392953
            ],
            [
                0.9999251537638144,
                0.999985261019786,
                0.9999869928653331,
                0.9999810748540158,
                0.9998601779759103,
                0.9999599363125955,
                0.9999898700066053,
                0.9999945777797377,
                0.9999646437619287,
                0.9999785550413599
            ],
            [
                0.9999910603005,
                0.9999962733616046,
                0.9999990577549568,
                0.9999995549149481,
                0.9999962733598275,
                0.9999974387177893,
                0.9999967112493664,
                0.9999991684720715,
                0.9999984465026158,
                0.9999982396559473
            ],
            [
                0.9999957771670589,
                0.9999957771680656,
                0.999995777166052,
                0.9999910603004992,
                0.9999945777790911,
                0.9999977396754328,
                0.9999962733611601,
                0.9999970976876689,
                0.9999852610215422,
                0.9999785550566994
            ],
            [
                0.9999921107392953,
                0.9999832985841286,
                0.9999810748585295,
                0.9999832985841296,
                0.9999910603036963,
                0.9999852610215436,
                0.9999977396762411,
                0.9999938558224685,
                0.9999885212346108,
                0.9999967112509347
            ],
            [
                0.9999930377429205,
                0.9999485577802075,
                0.9999930377420904,
                0.9999724643056241,
                0.9999485577802103,
                0.9999417087483762,
                0.9998204720339836,
                0.9999599363125902,
                0.9999646437492923,
                0.9999687980923515
            ],
            [
                0.999998790134028,
                0.9999962733598274,
                0.9999970976880149,
                0.9999962733616045,
                0.9999967112521109,
                0.9999945777797379,
                0.9999980052693274,
                0.9999980052702785,
                0.9999938558275954,
                0.999998446502801
            ],
            [
                3.535625913039018e-05,
                0.00033535006839435636,
                3.7266388397721442e-06,
                1.0129989771823107e-05,
                2.1444943300075563e-05,
                6.144176798870286e-06,
                4.006367783266211e-05,
                7.88926634644516e-06,
                3.1201907642061724e-05,
                6.96225956921868e-06
            ],
            [
                0.9999987901338838,
                0.9999957771670589,
                0.9999989322966208,
                0.9999832985781578,
                0.9999962733611601,
                0.9999957771655488,
                0.9999952149032237,
                0.9999952149049349,
                0.9999898700078131,
                0.9999910603004991
            ],
            [
                0.9999982396574162,
                0.9999980052693274,
                0.9999986290421394,
                0.9999980052705163,
                0.9999967112501507,
                0.999999168471675,
                0.999999694097773,
                0.999999266178757,
                0.9999970976866309,
                0.9999980052705163
            ],
            [
                0.9999980052709919,
                0.999998446502801,
                0.9999989322972572,
                0.9999984465026158,
                0.9999989322967482,
                0.999999730042126,
                0.9999987901337396,
                0.9999992661792819,
                0.9999990577556307,
                0.9999987901347492
            ],
            [
                0.9999982396572065,
                0.999999266178932,
                0.9999986290426297,
                0.9999977396746244,
                0.999995777166052,
                0.999991060300499,
                0.9999957771645421,
                0.999994577782323,
                0.9999967112517189,
                0.9999986290423029
            ],
            [
                0.9999990577554061,
                0.9999982396572065,
                0.9999898700053982,
                0.9999957771670589,
                0.9999952149049351,
                0.9999982396561571,
                0.9999974387180947,
                0.9999921107383549,
                0.9999962733593832,
                0.9999995549147889
            ],
            [
                0.9999957771650453,
                0.9999982396567867,
                0.9999952149032235,
                0.9999967112497589,
                0.9999984465018751,
                0.9999938558224682,
                0.9999910603068933,
                0.9999970976873229,
                0.9999987901347492,
                0.9999986290424663
            ],
            [
                0.9999977396757022,
                0.9999957771675623,
                0.9999994956525318,
                0.999995214903224,
                0.999998790134028,
                0.9999974387168733,
                0.999998790134028,
                0.999997097686631,
                0.9999984465020603,
                0.9999977396754327
            ],
            [
                0.9999987901344607,
                0.999997438717484,
                0.9999980052707541,
                0.9999974387171787,
                0.9999992661791945,
                0.9999987901347491,
                0.9999992661786696,
                0.9999957771675624,
                0.9999990577555185,
                0.9999982396567867
            ],
            [
                0.9999986290429566,
                0.9999982396574162,
                0.9999996940977002,
                0.999998790134028,
                0.9999986290426297,
                0.999999352405279,
                0.9999984465015047,
                0.9999984465024306,
                0.9999992661790196,
                0.999998629042303
            ],
            [
                0.9999546021367736,
                0.9999898700078124,
                0.999933947855328,
                0.9997965730991827,
                0.9999485577740932,
                0.9999485578047547,
                0.9999810748540153,
                0.9999756997505854,
                0.9999938558224682,
                0.9998415637077078
            ],
            [
                0.9998204719482784,
                0.9999546021367691,
                0.999989870006605,
                0.9999898700041898,
                0.999996273358939,
                0.9999852610145143,
                0.9999785550439183,
                0.999998790134028,
                0.9999898700102277,
                0.9999967112521106
            ],
            [
                0.9999339478317045,
                0.9999599362935014,
                0.999964643736646,
                0.9999898700066053,
                0.9999852610127579,
                0.9999921107402363,
                0.9998415637075303,
                0.9988304897152259,
                0.9999485577618208,
                0.999891103129733
            ],
            [
                0.9999994956525318,
                0.99999862904312,
                0.9999982396565769,
                0.999998239656367,
                0.9999974387187053,
                0.9999989322973846,
                0.9999984465015046,
                0.9999952149055054,
                0.9999990577556307,
                0.9999991684721706
            ],
            [
                0.9999852610110004,
                0.9999989322975118,
                0.9999962733607161,
                0.999993037740431,
                0.9999930377429205,
                0.9999990577551814,
                0.9999962733616045,
                0.9999945777823229,
                0.9999945777829694,
                0.9999980052709919
            ],
            [
                1.3709567165579959e-06,
                4.4508526417298334e-07,
                4.785094494716039e-06,
                0.999841563820814,
                3.2887478892055875e-06,
                0.999891103103726,
                3.726641061058432e-06,
                9.422442569290178e-07,
                1.0129990979547237e-05,
                0.9993736657487637
            ],
            [
                0.9999970976873229,
                0.9999982396559473,
                0.9999989322970027,
                0.9999984465022455,
                0.9999982396561572,
                0.9999980052707541,
                0.9999997617630332,
                0.999997438717484,
                0.9999977396757022,
                0.9999938558224688
            ],
            [
                0.9999930377420905,
                0.9999967112501505,
                0.999993855824666,
                0.9999967112505427,
                0.9999921107392955,
                0.9999970976869769,
                0.9999974387180947,
                0.9999967112501507,
                0.9999832985721828,
                0.9999938558253983
            ],
            [
                0.9999485577740842,
                0.9999930377420904,
                0.9999785550515862,
                0.9999910602994334,
                0.9999885212359798,
                0.9999987901341723,
                0.9999785550515878,
                0.9999885212291378,
                0.9999921107364741,
                0.9999970976869769
            ],
            [
                0.9999038975621705,
                0.9999756997650636,
                0.9999852610197869,
                0.9999832985701935,
                0.9999832985701927,
                0.9999930377445804,
                0.9999930377437504,
                0.9999930377437505,
                0.9998204719910657,
                0.9999967112517189
            ],
            [
                0.9999852610197857,
                0.9999982396561571,
                0.999983298578157,
                0.9999980052705163,
                0.9999910603004989,
                0.9999962733602716,
                0.9999967112505427,
                0.9999962733589389,
                0.9999898700041899,
                0.9999977396748938
            ],
            [
                0.9999967112517189,
                0.9999599362982748,
                0.9999957771665555,
                0.9999945777816766,
                0.9999967112505427,
                0.9999962733611603,
                0.9999898700126435,
                0.9999974387187053,
                0.9999724643056201,
                0.9999970976880149
            ],
            [
                0.9999982396567868,
                0.9999974387184,
                0.9999989322972572,
                0.9999938558239332,
                0.9999994284997573,
                0.9999990577554061,
                0.9999993524052018,
                0.9999982396559473,
                0.9999982396567867,
                0.9999986290429566
            ],
            [
                0.9999599362982616,
                0.9999952149032235,
                0.9999885212359799,
                0.9999921107402356,
                0.9999910603015647,
                0.9999967112505425,
                0.9999646437492865,
                0.9999970976883608,
                0.9999967112501505,
                0.9999957771650454
            ],
            [
                0.999999057755743,
                0.9999952149060757,
                0.9999989322968754,
                0.9999995549151073,
                0.9999962733607161,
                0.9999986290427931,
                0.9999974387180947,
                0.9999984465018751,
                0.9999952149032237,
                0.9999994284996893
            ],
            [
                0.9999930377412604,
                0.9999974387180947,
                0.9999992661791944,
                0.9999982396561571,
                0.9999962733616046,
                0.9999986290429566,
                0.9999810748585282,
                0.9999945777784449,
                0.999995214904935,
                0.9999977396751633
            ],
            [
                0.9999977396746245,
                0.9999990577556307,
                0.9999987901338839,
                0.9999987901341724,
                0.9999990577555185,
                0.9999991684718732,
                0.999998790134028,
                0.999997438717484,
                0.9999987901337396,
                0.9999982396567868
            ],
            [
                0.9999885212291385,
                0.9999945777810302,
                0.9999967112501504,
                0.9999987901344607,
                0.9999921107345932,
                0.9999756997534747,
                0.9999962733593832,
                0.9999832985841289,
                0.9999974387180947,
                0.999988521229138
            ],
            [
                0.9999646437450858,
                0.9999151889182442,
                0.9999546021097102,
                0.9999898700126431,
                0.9999952149049349,
                0.999992110740236,
                0.9998766053663705,
                0.9999852610127582,
                0.9999785550413645,
                0.9999832985801471
            ],
            [
                0.9999974387168734,
                0.999995777166052,
                0.9999417087136441,
                0.9999986290426297,
                0.9999945777816771,
                0.9999991684721706,
                0.9999910603015656,
                0.99999862904312,
                0.9999970976876689,
                0.999996273360716
            ],
            [
                0.9999970976883608,
                0.9999993524054335,
                0.999997438717484,
                0.9999967112509347,
                0.9999984465016898,
                0.9999991684719723,
                0.9999984465020603,
                0.9999989322975118,
                0.9999996940976272,
                0.999997097687669
            ],
            [
                0.9999994284995529,
                0.9999982396559473,
                0.9999987901346049,
                0.9999980052709919,
                0.9999989322972572,
                0.9999945777784448,
                0.999999057755743,
                0.9999952149037943,
                0.9999957771675625,
                0.9999984465016899
            ],
            [
                0.9999989322970027,
                0.999996273360716,
                0.9999957771650455,
                0.9999982396567867,
                0.9999970976873229,
                0.9999989322972572,
                0.9999977396746244,
                0.9999982396569966,
                0.9999974387168733,
                0.9999869928715353
            ],
            [
                0.9999832985761674,
                0.9999756997505767,
                0.9999930377462403,
                0.9999957771650454,
                0.9999832985721828,
                0.9999970976873229,
                0.9999982396563669,
                0.9999938558246657,
                0.999993855826863,
                0.9999756997534747
            ],
            [
                0.9999832985761657,
                0.9999832985801465,
                0.9999970976880148,
                0.9999974387168733,
                0.9999810748585273,
                0.9999984465026158,
                0.9999967112513267,
                0.9999962733598274,
                0.9999938558268633,
                0.9999980052707541
            ],
            [
                0.999992110740236,
                0.9999970976869769,
                0.9999910603068943,
                0.9999962733611601,
                0.9999898700041902,
                0.9999974387187053,
                0.9999982396559473,
                0.9999987901344607,
                0.9999991684718732,
                0.9999991684719723
            ],
            [
                0.9999994956525918,
                0.9999990577555185,
                0.9999994284995529,
                0.999999057755743,
                0.9999991684718732,
                0.9999986290423029,
                0.9999986290421394,
                0.9999977396762411,
                0.9999967112521109,
                0.9999990577556308
            ],
            [
                0.9999962733598274,
                0.9999910603068932,
                0.9999921107345932,
                0.9999952149072165,
                0.9999930377437504,
                0.9999938558246658,
                0.9999974387168733,
                0.9999930377404305,
                0.9999984465015047,
                0.9999982396565769
            ],
            [
                0.9999984465018751,
                0.9999991684720715,
                0.9999977396762411,
                0.999999057755743,
                0.9999982396567868,
                0.999997097686977,
                0.9999987901338838,
                0.9999945777790912,
                0.9999980052693274,
                0.9999986290421394
            ],
            [
                3.927862002663297e-07,
                9.422443692390473e-07,
                2.5612831266608576e-06,
                6.962253759828703e-06,
                4.5397874046655906e-05,
                1.0677029973158649e-06,
                1.2098652508347793e-06,
                9.422448185478557e-07,
                2.260323758939877e-06,
                6.962254589851619e-06
            ],
            [
                0.999995777166052,
                0.9999957771675624,
                0.9999977396746244,
                0.9999989322970027,
                0.9999977396746244,
                0.9999989322975118,
                0.9999982396563669,
                0.9999962733593831,
                0.999998005269803,
                0.9999930377429203
            ],
            [
                0.9999994284995529,
                0.9999987901343165,
                0.999998446502801,
                0.9999991684721706,
                0.9999994284994849,
                0.9999992661789321,
                0.9999996533672135,
                0.9999980052705163,
                0.9999992661788445,
                0.9999996072139402
            ],
            [
                0.9999977396759717,
                0.9999974387187053,
                0.9999986290427932,
                0.9999977396748938,
                0.9999980052709919,
                0.9999952149060757,
                0.999999730042319,
                0.9999987901338838,
                0.9999970976887068,
                0.9999977396762411
            ],
            [
                0.9999599363221395,
                0.9999990577555185,
                0.9999970976883608,
                0.9999991684721706,
                0.9999982396574163,
                0.9999977396746244,
                0.9999967112505427,
                0.9999921107383548,
                0.9999990577551814,
                0.9999977396746244
            ],
            [
                0.9999984465022455,
                0.9999992661788446,
                0.9999982396559473,
                0.9999991684721706,
                0.9999980052705163,
                0.9999996072136125,
                0.9999986290429566,
                0.9999996072137061,
                0.9999982396561571,
                0.9999989322971299
            ],
            [
                0.9999945777810304,
                0.999996273358939,
                0.9999967112493665,
                0.9999993524053562,
                0.9999991684721706,
                0.9999967112501505,
                0.9999980052698029,
                0.9999952149055054,
                0.999995777166052,
                0.9999910603015651
            ],
            [
                0.9999986290421394,
                0.9999990577550691,
                0.9999987901346049,
                0.9999977396746245,
                0.999999266178932,
                0.9999989322966208,
                0.9999989322971299,
                0.9999982396569965,
                0.9999994956524114,
                0.9999993524053562
            ],
            [
                0.9999987901343165,
                0.9999989322975118,
                0.9999977396746244,
                0.9999991684718732,
                0.9999984465022455,
                0.9999977396762411,
                0.9999992661790195,
                0.9999982396565769,
                0.9999996533674202,
                0.9999993524054335
            ],
            [
                1.7603427936183298e-06,
                0.9994472213245831,
                3.2887498494551953e-06,
                1.0677026154730804e-06,
                1.0677026154774503e-06,
                2.5612822106841303e-06,
                5.715006514151423e-07,
                1.2098659719716573e-06,
                0.9997965730511625,
                1.553498124964492e-06
            ],
            [
                0.9999980052707541,
                0.9999986290426297,
                0.9999993524051246,
                0.999998446502801,
                0.9999989322972572,
                0.9999992661788445,
                0.9999977396748938,
                0.9999987901346049,
                0.9999994956525317,
                0.9999986290423029
            ],
            [
                0.9999982396569966,
                0.9999984465028011,
                0.9999984465015046,
                0.9999987901337396,
                0.9999989322968754,
                0.9999991684722697,
                0.9999994956523514,
                0.9999989322973845,
                0.9999994284996891,
                0.9999980052695652
            ],
            [
                0.9999251537638258,
                0.9999546021421827,
                0.9999785550464753,
                0.999995777166052,
                0.9999785550464741,
                0.9999756997476829,
                0.9999832985781559,
                0.9999724643121839,
                0.9999869928746368,
                0.9999852610232997
            ],
            [
                0.999998790134028,
                0.999998790134028,
                0.9999990577552937,
                0.9999991684717741,
                0.9999984465026158,
                0.9999990577549569,
                0.9999992661786695,
                0.9999992661792819,
                0.9999962733611603,
                0.9999962733593832
            ],
            [
                0.9999930377404307,
                0.9999957771650453,
                0.9999938558224682,
                0.9999945777790912,
                0.9999869928746368,
                0.9999869928715378,
                0.9999974387171787,
                0.9999832985741752,
                0.9999977396762411,
                0.9999038975391663
            ],
            [
                0.9999485577679742,
                0.9999785550592561,
                0.9999910603058276,
                0.9999957771655487,
                0.9999930377420908,
                0.9999898700066064,
                0.9999977396754327,
                0.9999945777784448,
                0.9999898700041909,
                0.9999974387171787
            ],
            [
                0.9999785550592561,
                0.9999910603015647,
                0.9999989322975118,
                0.9999987901341723,
                0.999998005269803,
                0.9999996533674202,
                0.9999982396567867,
                0.9999987901347492,
                0.9999984465022455,
                0.9999982396572065
            ],
            [
                0.9997388097531997,
                0.9999869928653341,
                0.9999910603004991,
                0.9997694933673787,
                0.9999756997505774,
                0.9999869928699852,
                0.9998415637075787,
                0.9999756997476814,
                0.9999885212305066,
                0.9999339478710649
            ],
            [
                0.9999962733620487,
                0.9999952149072164,
                0.9999921107392953,
                0.9999945777823229,
                0.999998005269803,
                0.9999974387187053,
                0.9999962733620487,
                0.999997097686977,
                0.9999987901347492,
                0.9999989322973846
            ],
            [
                0.999999266179107,
                0.9999990577551815,
                0.9999986290427932,
                0.9999986290429567,
                0.999999554914789,
                0.9999994284997573,
                0.9999996940977366,
                0.9999984465020603,
                0.9999989322972572,
                0.9999987901341723
            ],
            [
                0.9999977396759716,
                0.9999990577551815,
                0.9999962733611601,
                0.9999938558224684,
                0.9999991684721706,
                0.9999921107364743,
                0.9999986290427932,
                0.9999987901338838,
                0.9999967112513268,
                0.9999982396569966
            ],
            [
                0.9999930377437505,
                0.9999724643056241,
                0.9999967112517187,
                0.999975699753477,
                0.999988521234612,
                0.9999952149066461,
                0.9999852610197869,
                0.9999970976873229,
                0.9999938558253982,
                0.9999938558261309
            ],
            [
                0.9999869928746369,
                0.999975699762166,
                0.9998766053809492,
                0.9999038975965026,
                0.9999339478631828,
                0.999985261011,
                0.9999869928684344,
                0.9999832985801479,
                0.9999485577924795,
                0.9999885212359795
            ],
            [
                0.9999970976887068,
                0.9999994956526519,
                0.9999986290424663,
                0.9999987901347491,
                0.9999987901343165,
                0.9999992661792819,
                0.9999982396559473,
                0.999995777164542,
                0.9999987901347491,
                0.9999945777784449
            ],
            [
                0.9999921107402358,
                0.999997097686977,
                0.9999982396572065,
                0.9999921107345928,
                0.9999885212291383,
                0.9999952149049351,
                0.9999982396563669,
                0.9999987901341723,
                0.9999980052709918,
                0.9999962733602717
            ],
            [
                0.9999989322971299,
                0.9999984465022455,
                0.9999987901338838,
                0.9999992661790195,
                0.9999993524052019,
                0.9999977396765105,
                0.9999994956527721,
                0.9999970976876689,
                0.9999986290427932,
                0.9999991684721706
            ],
            [
                0.9999885212264013,
                0.9999945777790911,
                0.9999910603058276,
                0.9999810748495044,
                0.9999989322967481,
                0.9999885212264021,
                0.9999986290429566,
                0.9999952149032235,
                0.9999885212332426,
                0.999964643732433
            ],
            [
                0.9999989322967481,
                0.9999832985801465,
                0.9999869928668841,
                0.9999910603047615,
                0.9999038975621809,
                0.999991060306893,
                0.9998911031296949,
                0.99999893229713,
                0.9999869928653333,
                0.9999945777823231
            ],
            [
                0.9999938558261304,
                0.999997097687323,
                0.9999852610215443,
                0.999997097686631,
                0.9999974387168733,
                0.9999967112493664,
                0.9999938558275953,
                0.9999957771680658,
                0.9999967112493665,
                0.9999962733620488
            ],
            [
                0.9999957771650453,
                0.999997438717484,
                0.999998239656367,
                0.9999982396574162,
                0.9999970976887068,
                0.9999962733611603,
                0.9999994284994849,
                0.9999987901344607,
                0.9999995549147358,
                0.9999990577555185
            ],
            [
                0.9999930377420904,
                0.9999970976873229,
                0.9999980052705163,
                0.9999980052695652,
                0.999998790134028,
                0.9999980052709918,
                0.9999989322975118,
                0.9999962733598274,
                0.9999994284994849,
                0.9999974387184
            ],
            [
                0.9999967112497585,
                0.9999982396565769,
                0.9999957771650453,
                0.999997097686977,
                0.9999967112501507,
                0.9999970976866309,
                0.9999974387184,
                0.9999967112497585,
                0.9999980052705163,
                0.9999990577551814
            ],
            [
                0.9999962733589389,
                0.9999945777823229,
                0.9999986290424663,
                0.9999945777784447,
                0.9999984465020603,
                0.9999485577679497,
                0.9999967112505425,
                0.9999724642990556,
                0.9999938558268628,
                0.9999962733607158
            ],
            [
                0.9999952149055052,
                0.9999970976887069,
                0.9999977396762411,
                0.9999938558232011,
                0.9999990577554061,
                0.9999982396559474,
                0.9999986290421394,
                0.999997438717484,
                0.9999986290421394,
                0.9999930377454107
            ],
            [
                0.9999869928761873,
                0.9999810748495063,
                0.9999885212346111,
                0.9999810748495044,
                0.9999687980774743,
                0.9999832985841305,
                0.9999339478317045,
                0.999972464315468,
                0.9999910603047621,
                0.9999852610127575
            ],
            [
                0.9999986290432834,
                0.9999986290426298,
                0.9999987901347491,
                0.9999989322973845,
                0.9999991684718732,
                0.9999993524051246,
                0.9999962733607161,
                0.9999980052705163,
                0.999997097687669,
                0.9999986290432834
            ],
            [
                0.9998415638208394,
                0.9999546021313555,
                0.9999832985841286,
                0.9999810748449934,
                0.9959298631637215,
                0.999995214904935,
                0.9999810748472503,
                0.9999852610145158,
                0.9996200154691524,
                0.9984988175087373
            ],
            [
                0.9998204720982964,
                0.9999687980774685,
                0.9999910603015648,
                0.9997694932020021,
                0.9999485577863448,
                0.9997694933395409,
                0.9999599363030427,
                0.9999646437324261,
                0.9998911031296949,
                0.9999810748449907
            ],
            [
                0.9999938558268634,
                0.9999970976876689,
                0.9999986290424663,
                0.9999980052700408,
                0.9999993524054335,
                0.9999982396565769,
                0.9999977396746244,
                0.9999996072137529,
                0.9999990577552937,
                0.9999986290424663
            ],
            [
                0.999999653367379,
                0.999999352405279,
                0.9999987901338838,
                0.9999991684718732,
                0.9999989322967481,
                0.9999990577549568,
                0.9999987901337396,
                0.999999352405279,
                0.9999987901347492,
                0.9999984465024306
            ],
            [
                0.9999417087553016,
                0.9999038975392426,
                0.9999869928699849,
                0.9999910603058274,
                0.999820471948213,
                0.9999921107383547,
                0.9999687980811902,
                0.9999885212318742,
                0.9999938558261307,
                0.9999756997534777
            ],
            [
                0.9999989322966208,
                0.9999982396561571,
                0.999997097688361,
                0.9999989322973846,
                0.9999991684721705,
                0.9999962733620488,
                0.9999990577555183,
                0.9999938558246658,
                0.9999952149055052,
                0.9999957771670591
            ],
            [
                0.9999687980737538,
                0.9999756997505788,
                0.9999417087553126,
                0.9999938558239332,
                0.9999785550413638,
                0.9995121428815036,
                0.9999898700090206,
                0.999992110734593,
                0.9999485577679526,
                0.9999810748517589
            ],
            [
                0.999941708713625,
                0.9999810748540172,
                0.9999687980997938,
                0.9999646437408712,
                0.999954602120557,
                0.9999810748517612,
                0.9999910603015648,
                0.9999921107355334,
                0.9999974387177893,
                0.9999921107355336
            ],
            [
                0.9999869928653331,
                0.9999898700066052,
                0.9999980052695652,
                0.9999977396759716,
                0.9999970976887068,
                0.9999869928653335,
                0.9999852610110004,
                0.9999970976866309,
                0.9999994284997573,
                0.9999967112513267
            ],
            [
                0.9999952149037942,
                0.9999910603068933,
                0.9999957771655487,
                0.999975699750582,
                0.9999945777816767,
                0.9999898700053983,
                0.9999967112513267,
                0.9999910602994336,
                0.9999945777816768,
                0.9999938558232011
            ],
            [
                0.9999967112497585,
                0.9999967112509347,
                0.9999970976866309,
                0.9999980052693275,
                0.9999977396746244,
                0.999998446502801,
                0.9999993524051246,
                0.9999991684717742,
                0.9999991684719723,
                0.9999977396751633
            ],
            [
                0.9999885212264015,
                0.9999485578047487,
                0.9999885212277695,
                0.9999417087275172,
                0.9999970976883608,
                0.9999930377429205,
                0.9999952149043646,
                0.9999921107392953,
                0.9999952149037941,
                0.9999810748562713
            ],
            [
                0.9999898700066053,
                0.9999251537905948,
                0.9999910603015644,
                0.9999930377445804,
                0.9999646437366521,
                0.9999898700126431,
                0.9999687980737515,
                0.9999832985781566,
                0.9999869928730863,
                0.9999687980774685
            ],
            [
                0.9999974387184,
                0.9999974387180947,
                0.9999986290424663,
                0.9999957771675623,
                0.9999993524051246,
                0.9999898700114365,
                0.9999962733602717,
                0.9999977396759716,
                0.9999984465018751,
                0.999983298578157
            ],
            [
                0.9999810748427369,
                0.9999921107336531,
                0.9999756997650724,
                0.9999832985741757,
                0.9999810748540153,
                0.9999957771660521,
                0.9999852610180293,
                0.9999962733620489,
                0.9999962733593831,
                0.9999952149066461
            ],
            [
                0.9999970976873229,
                0.9999962733607158,
                0.9999977396765105,
                0.9999938558246658,
                0.999997438717484,
                0.9999982396574162,
                0.9999785550566994,
                0.9999980052707541,
                0.9999970976876689,
                0.9999962733602717
            ],
            [
                0.9999980052698029,
                0.9999984465022455,
                0.9999687980811879,
                0.9999980052707541,
                0.9999930377437503,
                0.9999980052709919,
                0.9999970976887068,
                0.9999982396574163,
                0.9999898700041899,
                0.9999957771675623
            ],
            [
                0.9999980052705163,
                0.9999984465026158,
                0.9999957771670589,
                0.9999974387187053,
                0.999997097686977,
                0.9999984465018751,
                0.9999986290423029,
                0.9999987901338838,
                0.9999970976887069,
                0.9999989322970027
            ],
            [
                0.9999994956524114,
                0.9999996072139402,
                0.9999991684718732,
                0.9999986290426297,
                0.9999987901343165,
                0.9999994284994848,
                0.9999987901347492,
                0.9999980052693274,
                0.9999982396567868,
                0.9999984465020603
            ],
            [
                0.9999885212305066,
                0.9999921107364745,
                0.9998766054545571,
                0.9999646437619403,
                0.9999785550567023,
                0.9999952149072167,
                0.9999885212277696,
                0.9999756997534747,
                0.9999989322966208,
                0.9999910603026306
            ],
            [
                0.9999986290426297,
                0.9999991684722697,
                0.9999967112493665,
                0.9999986290421394,
                0.9999977396765105,
                0.9999898700041898,
                0.9999980052693274,
                0.9999970976883608,
                0.9999991684719723,
                0.9999957771680656
            ],
            [
                0.9999989322967481,
                0.9999987901347492,
                0.9999993524054335,
                0.9999994284996211,
                0.9999974387184,
                0.9999994956526519,
                0.99999862904312,
                0.999999694097773,
                0.9999994956523514,
                0.9999977396765105
            ],
            [
                0.9999993524049702,
                0.9999962733611601,
                0.999999266178932,
                0.9999989322966208,
                0.9999898700066053,
                0.9999977396757022,
                0.999997438716568,
                0.9999970976880149,
                0.9999962733589389,
                0.9999994284992805
            ],
            [
                0.9999992661787571,
                0.9999990577549568,
                0.999995214904935,
                0.9999910603047618,
                0.9999987901337396,
                0.9999910603036961,
                0.9999990577556307,
                0.9999990577552939,
                0.999999266178757,
                0.9999910603058275
            ],
            [
                0.9999970976887068,
                0.9999756997650594,
                0.999997438717484,
                0.9999546021151239,
                0.9999724643187504,
                0.9999930377412605,
                0.9999810748449934,
                0.9999977396765105,
                0.9999991684720715,
                0.9999687980811913
            ],
            [
                0.9999930377454102,
                0.9999977396748938,
                0.9999938558268631,
                0.999996273360716,
                0.9999952149043645,
                0.9999974387168733,
                0.999992110740236,
                0.9999982396574163,
                0.9999967112513267,
                0.9999945777829695
            ]
        ]
    },
    {
        "q_id": "10714_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            20,
            21,
            22,
            23,
            24,
            25,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            58,
            59,
            62,
            65,
            66,
            67,
            68,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            10,
            17,
            19,
            26,
            46
        ],
        "rewards": [
            [
                0.9999996072137061,
                0.9999945777790914,
                0.9999785550439229,
                0.9999852610162764,
                0.9999996072137061,
                0.999993855822469,
                0.9999996072137998,
                0.9999962733598277,
                0.9999957771680659,
                0.9999987901346049
            ],
            [
                0.9999898700090223,
                0.9999992661790196,
                0.9999994284994167,
                0.9999995549151072,
                0.9999984465015047,
                0.9999970976890529,
                0.9999991684722697,
                0.9999980052709921,
                0.9999993524054335,
                0.9999994956524115
            ],
            [
                0.9999724643157901,
                0.9999724643089054,
                0.9999038976081925,
                0.9997040427701015,
                0.679178692681616,
                0.006692851809667306,
                0.9525741290102834,
                0.9999038975853564,
                0.9999646437536496,
                0.9999810748540323
            ],
            [
                3.2887486732358968e-06,
                2.2603251061664e-06,
                2.9023119850527192e-06,
                6.144174601499446e-06,
                1.553498495230919e-06,
                1.5534975693036317e-06,
                1.9947297214544894e-06,
                4.222832940577472e-06,
                4.222834954561012e-06,
                1.7603434231385591e-06
            ],
            [
                0.9999996533674614,
                0.9999038976198967,
                0.9999785550413738,
                0.9998911031040357,
                0.9999982396567868,
                0.9999810748585516,
                0.9996646498975841,
                0.9999724643089218,
                0.9997694932601593,
                0.999999352404893
            ],
            [
                0.9999977396754327,
                0.9999832985702033,
                0.999999352404893,
                0.9999984465026158,
                0.9999945777810306,
                0.9999646437324566,
                0.9999945777810304,
                0.9999938558275964,
                0.9999756997621702,
                0.9999810748517738
            ],
            [
                0.999999266178932,
                0.9999996072137998,
                0.999997097688707,
                0.9999967112497585,
                0.9999997300422869,
                0.9999997617630332,
                0.9999756997650643,
                0.9999974387168734,
                0.9999987901338838,
                0.9999996940977731
            ],
            [
                0.999998239656577,
                0.9999952149043645,
                0.9999986290421394,
                0.9999962733611604,
                0.9999986290423029,
                0.9999546021151405,
                0.9999996940978825,
                0.999997097686977,
                0.999997097686977,
                0.9999938558232011
            ],
            [
                4.2228319341064674e-06,
                2.260324028306588e-06,
                3.726639283752725e-06,
                1.3709572067356507e-06,
                2.561282821239737e-06,
                1.670141785809127e-05,
                2.9023126768680736e-06,
                8.315278293604072e-07,
                4.785096205260165e-06,
                1.2098656834481918e-06
            ],
            [
                0.9999974387184,
                0.9999646437366568,
                0.999975699767961,
                0.9999687980849267,
                0.9999938558224699,
                0.9999546021422984,
                0.9999982396572065,
                0.999998446502801,
                0.9999982396565769,
                0.999993037740431
            ],
            [
                0.999998790134028,
                0.999993037740431,
                0.9999993524054334,
                0.9999991684720716,
                0.9999977396748939,
                0.9999810748585286,
                0.9999151889184954,
                0.9999992661786695,
                0.9999977396762411,
                0.9999869928730875
            ],
            [
                0.9999898700102287,
                0.9999417087067435,
                0.9999921107364751,
                0.9999832985721885,
                0.9999885212291395,
                0.9999991684720715,
                0.999986992873088,
                0.9999962733616047,
                0.9999546021368343,
                0.9999990577557432
            ],
            [
                2.3823685317570705e-07,
                2.6995780963428734e-07,
                1.994729245878497e-06,
                3.927862002491823e-07,
                6.475946437587058e-07,
                6.475949525781504e-07,
                1.2098653950480359e-06,
                7.338212429307298e-07,
                3.466327450402447e-07,
                1.0677028699625768e-06
            ],
            [
                3.2887502413389517e-06,
                3.288750632678377e-06,
                8.939694170729447e-06,
                1.994729721396435e-06,
                8.939696302051047e-06,
                4.785095062930243e-06,
                3.28874867308036e-06,
                1.2098652507583041e-06,
                2.561281904969606e-06,
                2.9023109467598367e-06
            ],
            [
                0.9999952149066532,
                0.9999546021234114,
                0.9999810748540532,
                0.9999869928684375,
                0.9999984465028012,
                0.999989870007825,
                0.9999986290423043,
                0.9999852610128452,
                0.9999038976194708,
                0.9796676481414186
            ],
            [
                0.999620015472734,
                0.9999989322975118,
                0.9978172830571956,
                0.9996646499714423,
                0.9999952149032248,
                0.9998911031297979,
                0.9999756997592744,
                0.9999986290432834,
                0.9999982396569965,
                0.9999885212318762
            ],
            [
                0.999993037742923,
                0.9999938558253986,
                0.9999921107402373,
                0.9999967112513267,
                0.9999952149060763,
                0.9980732649601244,
                0.9999724643154765,
                0.999993855826864,
                0.9999930377462425,
                0.999954602115151
            ],
            [
                7.889259764273619e-06,
                1.3709575336530204e-06,
                1.4738976694012237e-05,
                1.7603436329394601e-06,
                7.338208929631067e-07,
                4.785093351098334e-06,
                6.962259558378135e-06,
                4.7850950643402904e-06,
                1.7603436328770204e-06,
                8.939699498099386e-06
            ],
            [
                0.9999785550464806,
                0.9999546021260055,
                0.9999994956527721,
                0.9999785550439251,
                0.9999945777810305,
                0.9999646437493086,
                0.9999962733611603,
                0.9999993524050474,
                0.9999994284993485,
                0.9999994284996211
            ],
            [
                0.9999687980997901,
                0.9999646437493104,
                0.9999599362887198,
                0.999769493367325,
                0.999981074856284,
                0.9999687980997889,
                0.9999910603058286,
                0.9999687980960685,
                0.9999485577863536,
                0.9999810748495074
            ],
            [
                2.9023109469842055e-06,
                5.422217030495909e-06,
                3.927862470840049e-07,
                3.059023363221292e-07,
                4.450848927599543e-07,
                3.288750241410738e-06,
                6.962257077932685e-06,
                5.043475885292571e-07,
                7.889260703117714e-06,
                2.699578418185828e-07
            ],
            [
                0.9999995549148419,
                0.9999910603004997,
                0.9999898700041975,
                0.9999957771660523,
                0.9999938558268635,
                0.9999994284992805,
                0.9999599363126432,
                0.999993037743751,
                0.9999982396572065,
                0.9999974387165682
            ],
            [
                0.9999921107374153,
                0.9998415637269378,
                0.9997694933680427,
                0.9998911030521376,
                0.9999910603036963,
                0.9999930377437511,
                0.9999952149037944,
                0.9999938558253987,
                0.9999957771665557,
                0.9999756997505873
            ],
            [
                0.9999967112497585,
                0.9999832985761876,
                0.9999962733598274,
                0.9999986290426298,
                0.9999974387177893,
                0.9999832985801516,
                0.9999994956525919,
                0.9999995549150542,
                0.9999984465020603,
                0.9999996940976636
            ],
            [
                0.9999646437619502,
                0.9999810748562732,
                0.9999984465018751,
                0.9999967112501507,
                0.9999992661786695,
                0.9999994956525918,
                0.999972464305637,
                0.9999852610233012,
                0.9999339478710885,
                0.9997040427974756
            ],
            [
                0.9999974387165681,
                0.9999930377437504,
                0.9999984465024309,
                0.9999945777797395,
                0.9999485577925007,
                0.9999974387171787,
                0.9999898700102295,
                0.9999996533672963,
                0.9999938558261314,
                0.9999982396572065
            ],
            [
                0.999997438716568,
                0.9998911031169858,
                0.9999987901341723,
                0.9999756997507085,
                0.9999991684716749,
                0.9999974387187053,
                0.9999970976883614,
                0.9999852610197867,
                0.9999982396569969,
                0.9999952149043646
            ],
            [
                0.9999970976873231,
                0.9999417087483837,
                0.9999974387174846,
                0.9999756997621686,
                0.9999910603026332,
                0.9999974387187053,
                0.9999957771675646,
                0.9997694932304335,
                0.999948557786366,
                0.9999910603036973
            ],
            [
                6.962259568889411e-06,
                1.9947301970451086e-06,
                1.0677031245312763e-06,
                2.2603237587774727e-06,
                3.4663262110945863e-07,
                5.04347648680129e-07,
                1.892515048449202e-05,
                2.5612819052072116e-06,
                3.9278634073098236e-07,
                3.4663249713205845e-07
            ],
            [
                3.726640616630245e-06,
                1.3709573702566696e-06,
                0.999903897608017,
                3.726639727994339e-06,
                7.338213304143191e-07,
                8.315283250082584e-07,
                3.927862470861484e-07,
                1.760343632920248e-06,
                5.422217028582506e-06,
                1.0677024881829577e-06
            ],
            [
                0.9999962733593831,
                0.9999990577556308,
                0.9999980052702786,
                0.999959936317401,
                0.9999996072136593,
                0.9999995549147889,
                0.9999998724808963,
                0.9999996533675028,
                0.9999938558268636,
                0.9999991684722698
            ],
            [
                0.9999991684717741,
                0.999993037746242,
                0.9999977396765107,
                0.9999974387177893,
                0.9999977396757023,
                0.9999984465026159,
                0.9999852610110042,
                0.9999962733593836,
                0.9999986290426301,
                0.9999832985781592
            ],
            [
                0.9999992661790196,
                0.9999987901341723,
                0.9999984465026158,
                0.9999977396746245,
                0.9999977396746244,
                0.9999957771650454,
                0.9999990577549568,
                0.9999996940978825,
                0.9999997617631752,
                0.9999984465016899
            ],
            [
                2.9023116390104826e-06,
                2.5612834318257725e-06,
                6.962254586824882e-06,
                1.370957860466977e-06,
                1.6701423832586287e-05,
                1.370957370106421e-06,
                1.2098656834349874e-06,
                6.475947209826952e-07,
                7.889261644358435e-06,
                3.2887498493325602e-06
            ],
            [
                0.9998766054112072,
                0.999999266178757,
                0.9999982396569966,
                0.9998204720361279,
                0.9999967112517191,
                0.999999266179107,
                0.9999957771650456,
                0.9999832985761983,
                0.9999982396563671,
                0.9999945777797377
            ],
            [
                0.99999893229713,
                0.9999724643122142,
                0.9999921107392962,
                0.9999921107383561,
                0.999983298574178,
                0.999999694097846,
                0.9999910603036967,
                0.9999984465020603,
                0.9999810748562957,
                0.9999993524051246
            ],
            [
                0.9999996940977731,
                0.9999869928761915,
                0.9999785550439318,
                0.9999852610197907,
                0.9999993524053562,
                0.999999057755069,
                0.9999957771655488,
                0.9999957771680659,
                0.9999898700126431,
                0.9999038975511892
            ],
            [
                0.9999785550413981,
                0.9999038976080374,
                0.9999957771645421,
                0.9999993524049702,
                0.9999957771655488,
                0.9999990577556308,
                0.9999980052705163,
                0.9999986290427931,
                0.9999994956527721,
                0.9999991684721706
            ],
            [
                5.04347468309184e-07,
                1.3709575336654889e-06,
                1.209866116137134e-06,
                3.2887482810382622e-06,
                4.4508510496944726e-07,
                7.338212429367364e-07,
                7.33820718019402e-07,
                3.4663262110425684e-07,
                2.9023112930949896e-06,
                1.3709578605243332e-06
            ],
            [
                0.9999991684719725,
                0.9999989322973845,
                0.9998415637086137,
                0.9999938558239335,
                0.9999995549149481,
                0.999999814460854,
                0.9999992661788446,
                0.9999756997506276,
                0.9999994284996893,
                0.999999554914895
            ],
            [
                0.9999687980774961,
                0.9999785550439492,
                0.9990889487790554,
                0.9997694932870012,
                0.9999986290421395,
                0.9999957771680668,
                0.9999945777797377,
                0.9999646437493142,
                0.999933947863362,
                0.9999756997621686
            ],
            [
                0.9999945777829697,
                0.9999986290429566,
                0.9999938558224744,
                0.9999485578047742,
                0.9997965729543316,
                0.9999980052695652,
                0.9999991684717741,
                0.9992903296278133,
                0.9999984465018752,
                0.9999986290432834
            ],
            [
                0.9999986290423031,
                0.9999989322971299,
                0.9999251537907886,
                0.999993037742393,
                0.9999990577557432,
                0.9999984465015047,
                0.999998790134605,
                0.9999992661790195,
                0.9999997300421581,
                0.9999994284992805
            ],
            [
                1.7603432132912532e-06,
                9.422445938917108e-07,
                2.9023116390421582e-06,
                7.338212429464139e-07,
                3.72664061671159e-06,
                7.889263523008662e-06,
                3.466326624142512e-07,
                2.2603248367358324e-06,
                1.3709570433885908e-06,
                2.902313022952668e-06
            ],
            [
                0.9999970976873229,
                0.9999980052709919,
                0.9999982396574164,
                0.9999885212346123,
                0.9999982396569971,
                0.9999994284994849,
                0.9999938558261318,
                0.9999984465028016,
                0.9999980052705163,
                0.9999952149043645
            ],
            [
                2.902311985079115e-06,
                2.9023123309287002e-06,
                3.7266406165319545e-06,
                1.5534975693036317e-06,
                1.9947299591826594e-06,
                1.7603430034151537e-06,
                3.9278605979208185e-07,
                1.994729245842213e-06,
                1.370956879949281e-06,
                5.422221555069497e-06
            ],
            [
                0.9999980052709919,
                0.9999987901337396,
                0.9999945777790913,
                0.9999993524050474,
                0.9999756997563752,
                0.9999990577550691,
                0.9999997617631752,
                0.9999980052695652,
                0.9999967112509347,
                0.9999898700066067
            ],
            [
                0.999998932296621,
                0.9999986290429566,
                0.9999991684719723,
                0.9999984465016899,
                0.9999993524052018,
                0.9999987901343166,
                0.9999980052702785,
                0.999989870006626,
                0.9999991684721706,
                0.9999980052707544
            ],
            [
                4.222835457906302e-06,
                6.144173135628569e-06,
                1.4738976699106073e-05,
                7.88925976359915e-06,
                1.3007126908733257e-05,
                2.9023123309287002e-06,
                6.962257079173776e-06,
                6.962257075007259e-06,
                1.3007130009739366e-05,
                2.5612834317908303e-06
            ],
            [
                0.999903897539618,
                0.9999832985701939,
                0.9999910603068937,
                0.9999986290427931,
                0.9999832985701943,
                0.9997694933420528,
                0.9999994956525918,
                0.9998911030521977,
                0.9999982396559474,
                0.9999986290421394
            ],
            [
                0.9999982396561573,
                0.9999989322968755,
                0.9999785550592651,
                0.9997965729791986,
                0.999998790134605,
                0.9999646437366505,
                0.9997965730030326,
                0.9999992661788446,
                0.9990889486909996,
                0.9999945777823231
            ],
            [
                1.5534973841705173e-06,
                1.3007133110320344e-05,
                1.0677029972522599e-06,
                2.902311984915459e-06,
                1.1478769492141554e-05,
                8.939697369004791e-06,
                1.4738987241494252e-05,
                2.1444956065331412e-05,
                8.939700556321314e-06,
                1.067702615417244e-06
            ],
            [
                0.9999977396759716,
                0.9999989322968754,
                0.9999990577549568,
                0.99999844650169,
                0.9999957771675626,
                0.9999987901347491,
                0.9999898700054015,
                0.9999945777829695,
                0.9999967112501507,
                0.9999977396748941
            ],
            [
                0.9999599362935166,
                0.999769493314044,
                0.9999977396762411,
                0.9999930377420909,
                0.9999974387168734,
                0.999983298578157,
                0.9999599363031061,
                0.9999989322973846,
                0.9999982396567867,
                0.9999687980923682
            ],
            [
                0.9999038975508551,
                0.9999962733611603,
                0.9999869928715392,
                0.9999687980998164,
                0.9999930377454114,
                0.9999852610145146,
                0.9999852610162749,
                0.9999646437493142,
                0.9995121428900186,
                0.9999646437324624
            ],
            [
                9.422447061782138e-07,
                0.9999982396561644,
                0.9999994284994849,
                0.9999984465024306,
                0.9999970976876689,
                0.9999984465016899,
                0.9999938558261313,
                0.9999984465018752,
                0.9999982396561594,
                0.9999952149032239
            ],
            [
                0.9999994956524114,
                0.9999910603047647,
                0.9999986290427932,
                0.9999832985702033,
                0.999999057755743,
                0.9999982396561572,
                0.999997438716568,
                0.9999970976890529,
                0.999986992876196,
                0.9999974387180949
            ],
            [
                0.999954602136841,
                0.9999982396574163,
                0.9999997300423191,
                0.9999687980737538,
                0.9999989322968754,
                0.9999996533674615,
                0.9999982396574163,
                0.9999994956525317,
                0.999860177926084,
                0.999998790134028
            ],
            [
                0.999998239656577,
                0.9999962733611618,
                0.9999962733607164,
                0.9997694932030821,
                0.999997097686978,
                0.9999962733611607,
                0.9999921107383574,
                0.9999910603047636,
                0.9999852610180308,
                0.9999945777803854
            ],
            [
                0.9999987901341723,
                0.9997694933681567,
                0.999999352405279,
                0.9999151889183534,
                0.9999982396563669,
                0.9999930377429209,
                0.9999977396748938,
                0.9999869928761891,
                0.9999984465015047,
                0.9999984465018751
            ],
            [
                0.9999945777823236,
                0.9999930377454121,
                0.9999485577924947,
                0.9999957771660523,
                0.9999957771680661,
                0.9999785550465017,
                0.9999962733598274,
                0.9999921107336539,
                0.9999687980737588,
                0.9999997300422869
            ],
            [
                0.9999994956524716,
                0.9999957771655487,
                0.9999898700114366,
                0.9999989322972573,
                0.9999992661788446,
                0.9999987901344607,
                0.999986992873093,
                0.9999980052702786,
                0.999993855825399,
                0.9999992661792819
            ],
            [
                1.553498495295912e-06,
                3.0590222691880844e-07,
                1.2098655391782321e-06,
                3.0590233631503464e-07,
                1.3709578604108674e-06,
                7.338212429167144e-07,
                8.315279284657531e-07,
                1.5534983100595462e-06,
                6.1441753337365085e-06,
                5.715007195057402e-07
            ],
            [
                0.9999982396563682,
                0.9999945777797379,
                0.9999989322966208,
                0.999992110740238,
                0.9999810748449972,
                0.9999898700114374,
                0.9999987901340295,
                0.9999980052695652,
                0.9999967112497584,
                0.999994577782323
            ],
            [
                0.9999967112505429,
                0.9999945777797379,
                0.9999869928763284,
                0.9999982396574163,
                0.9999991684715759,
                0.9999898700114374,
                0.9999910603005013,
                0.999999057755743,
                0.9999991684715759,
                0.9999991684721706
            ],
            [
                0.9999910603004997,
                0.9999984465022456,
                0.999999730042319,
                0.9999962733593833,
                0.9999992661791071,
                0.9999930377420914,
                0.9999869928730883,
                0.999972464318785,
                0.9999724643023706,
                0.9999599363222136
            ],
            [
                3.288748673265808e-06,
                6.475951069855719e-07,
                2.260324028351814e-06,
                0.9997388095665523,
                3.2887482811220126e-06,
                1.147877084091689e-05,
                2.902312677007974e-06,
                2.5612819053166966e-06,
                1.9947292458930106e-06,
                0.9999646437408619
            ],
            [
                4.222834954607099e-06,
                1.4738987238035806e-05,
                6.9622579086271995e-06,
                3.2887482811220126e-06,
                1.4738981968462759e-05,
                1.4738983726559732e-05,
                2.5612831264675113e-06,
                7.88926258381982e-06,
                2.561281294644835e-06,
                7.889264466230069e-06
            ],
            [
                0.9975273769806179,
                0.9999646437367962,
                0.9999980052693274,
                0.9999987901340281,
                0.9999987901347491,
                0.999997097686631,
                0.9999957771665555,
                0.9999986290421394,
                0.9999970976883609,
                0.999998790134605
            ],
            [
                0.9999885212291395,
                0.9999982396565767,
                0.9999952149072173,
                0.9999998555020134,
                0.9999977396762411,
                0.9999991684719723,
                0.9999997300421581,
                0.999993855824666,
                0.9999989322970028,
                0.9999984465022455
            ],
            [
                3.9278629390507954e-07,
                5.043474081739295e-07,
                1.855390575969964e-07,
                1.5534981247907057e-06,
                1.5534981248881956e-06,
                3.466325797827604e-07,
                2.699577130905084e-07,
                2.699577130868255e-07,
                2.6995787399269284e-07,
                3.4663262110630603e-07
            ],
            [
                0.9999990577551815,
                0.9999785550464837,
                0.9999898700114368,
                0.9999982396559474,
                0.9997388095675478,
                0.9999898700090235,
                0.9999989322966211,
                0.9999898700090227,
                0.9999989322973845,
                0.9999646437324605
            ],
            [
                0.9999977396748945,
                0.9999984465018751,
                0.9999986290426303,
                0.9999987901346049,
                0.9999869928761888,
                0.999998446502801,
                0.9999869928761884,
                0.9999724643056286,
                0.9999990577554061,
                0.9999485577618628
            ],
            [
                0.9999982396563669,
                0.9999938558239333,
                0.9999546021259557,
                0.9999987901347491,
                0.9999980052705163,
                0.9999993524054334,
                0.9999724642957752,
                0.9999687980998413,
                0.999995777165549,
                0.9999991684716749
            ],
            [
                0.9999977396765106,
                0.9999038975964829,
                0.9999151889687863,
                0.9999984465015046,
                0.9998204719924918,
                0.9999852610110034,
                0.9999994956523514,
                0.9999980052709918,
                0.9999977396757022,
                0.9999986290424663
            ],
            [
                0.999997438717484,
                0.9999991684722697,
                0.9999991684721706,
                0.9999990577556307,
                0.9999987901347492,
                0.9999982396565769,
                0.9999646437408874,
                0.9999977396751633,
                0.9999869928704082,
                0.9999756997477102
            ],
            [
                0.9999970976887069,
                0.9999980052700408,
                0.9999987901343165,
                0.9999998724810027,
                0.9999962733616052,
                0.999995777167059,
                0.9999996072137998,
                0.9998204719921104,
                0.9999756997563856,
                0.9999251537996711
            ],
            [
                0.9999997617630332,
                0.9999417087414922,
                0.999978555059262,
                0.9999982396565769,
                0.9999930377445808,
                0.9999967112517189,
                0.9999921107383561,
                0.999933947831781,
                0.9999869928684368,
                0.9999962733593838
            ],
            [
                0.9999687980886429,
                1.5534984953298217e-06,
                2.5612819053166966e-06,
                8.315284241333265e-07,
                7.338207180838067e-07,
                7.889260704050487e-06,
                9.422445938917108e-07,
                1.670142980687079e-05,
                9.422444815220956e-07,
                6.144173869312763e-06
            ],
            [
                0.999978555054146,
                0.9999852610110029,
                0.9999977396759716,
                0.9999485577618527,
                0.9999869928684365,
                0.9997040429391773,
                0.9999038975966157,
                0.9996200155187552,
                0.9999945777797375,
                0.999989870007814
            ],
            [
                0.9999997300423191,
                0.9998204720779854,
                0.9999991684719723,
                0.9999980052700408,
                0.9999967112521109,
                0.9999989322973847,
                0.9999991684716751,
                0.9999832985781725,
                0.9999980052705164,
                0.99999862904312
            ],
            [
                0.9999989322975118,
                0.999997097688707,
                0.9999967112514638,
                0.9999962733611603,
                0.9999992661791944,
                0.9999995549150011,
                0.9999992661790196,
                0.9999990577554063,
                0.9999991684722698,
                0.9999990577554061
            ],
            [
                0.9999952149072233,
                0.9999417087345128,
                0.9999724643145895,
                0.9999898700054022,
                0.9999910603068948,
                0.999991060299435,
                0.9999785550567479,
                0.9999869928761903,
                0.999991060299436,
                0.9999687980887423
            ],
            [
                0.9999945777823238,
                0.9999989322971301,
                0.9999977396757022,
                0.9999810748562752,
                0.9999992661791944,
                0.9999945777829713,
                0.9999938558224685,
                0.9999980052707541,
                0.9998204720132834,
                0.999998239656367
            ],
            [
                0.9999885212332442,
                0.9999970976887068,
                0.999999266179107,
                0.9999984465018751,
                0.9999977396751633,
                0.9999910603068953,
                0.9999994284995529,
                0.9999952149037941,
                0.9999967112517191,
                0.999998239656577
            ],
            [
                0.9999990577555185,
                0.999993855823934,
                0.9999974387171787,
                0.9999957771650455,
                0.9999962733620488,
                0.9999982396572065,
                0.9999957771670589,
                0.9999989322968754,
                0.9999977396762412,
                0.9999995549148419
            ],
            [
                0.9999832985742064,
                0.9998601779097274,
                0.9989677689540017,
                0.9999910603036964,
                0.9999991684722697,
                0.9999992661791071,
                0.9999977396765105,
                0.9999967112521155,
                2.561283431888668e-06,
                0.9999910603058282
            ],
            [
                0.9999910602994346,
                0.999998790134605,
                0.9999785550464765,
                0.9999646437324546,
                0.9999810748562864,
                0.9999986290424663,
                0.9999970976883609,
                0.9999994284994168,
                0.9999967112497586,
                0.9999994284994167
            ],
            [
                1.994729245693449e-06,
                4.785093353739995e-06,
                2.430023783150746e-05,
                4.222832437324657e-06,
                1.6701429802769596e-05,
                2.9023123307122503e-06,
                1.9947297209138604e-06,
                8.939698433145498e-06,
                1.1478768108288783e-05,
                1.760344052491706e-06
            ],
            [
                0.9999989322973846,
                0.9999898700066062,
                0.999998005269803,
                0.999998239656586,
                0.9999992661787617,
                0.9999991684717742,
                0.9999991684718732,
                0.9999945777823231,
                0.9999967112513273,
                4.2228329408924035e-06
            ],
            [
                0.9999997617630899,
                0.9999996072137998,
                0.9999967112497586,
                0.9999945777810305,
                0.9999980052709919,
                0.9999980052707541,
                0.9999977396765106,
                0.9999994956523514,
                0.9999885212291387,
                0.9999945777797375
            ],
            [
                0.999997438717484,
                0.9999938558275963,
                0.9999785550541436,
                0.9999921107355343,
                0.9999810748517622,
                0.999993037741261,
                0.9999977396751634,
                0.9999967112513268,
                0.999985261018038,
                0.9999724642957772
            ],
            [
                0.9999974387177893,
                0.999993037741261,
                0.9999921107364749,
                0.9999987901343165,
                0.9999991684719725,
                0.9999997617629763,
                0.9999952149060761,
                0.9999993524050474,
                0.9999994284994848,
                0.9999646437408893
            ],
            [
                0.9999417087484173,
                0.9999810748495074,
                0.9999921107356107,
                0.9978172837138823,
                0.9999546021259709,
                0.9999646437366636,
                0.999933947823931,
                0.9999898700114399,
                0.9999485578047951,
                0.9999546021259791
            ],
            [
                5.4222170296279735e-06,
                5.144223809946954e-05,
                5.144221974590828e-05,
                7.889266345196678e-06,
                1.3007134665130082e-05,
                4.222831934052698e-06,
                3.7266401724291984e-06,
                8.939693105662367e-06,
                2.561282821239737e-06,
                5.422218968822766e-06
            ],
            [
                0.9998766053816548,
                0.9999992661791071,
                0.9999982396572066,
                0.999999789756684,
                0.9999885212291393,
                0.9999994284994849,
                0.9999970976883611,
                0.9999991684719723,
                0.9999994284994167,
                0.9999982396567868
            ],
            [
                4.78509563550957e-06,
                7.338208930144969e-07,
                7.338209804853638e-07,
                5.04347287945184e-07,
                1.3709575336860625e-06,
                3.7266379513162962e-06,
                1.994729245555571e-06,
                2.1024331597152624e-07,
                3.72664061671159e-06,
                8.315278293838516e-07
            ],
            [
                0.9999957771680658,
                0.9999974387171787,
                0.9999974387168733,
                0.9999970976880156,
                0.9999417087206214,
                0.9999990577555185,
                0.9999993524051246,
                0.999998005269803,
                0.9999992661789321,
                0.9999977396748939
            ],
            [
                0.9999974387184,
                0.9999995549147889,
                0.9999991684716749,
                0.9999990577551815,
                0.9999982396565767,
                0.9999967112493666,
                0.9999997897565587,
                0.9999992661790195,
                0.9999990577549568,
                0.9999957771660523
            ],
            [
                0.9998415638405372,
                0.9998204720138057,
                0.9999852610162746,
                0.9999991684722697,
                0.999972464299095,
                0.9999646437620174,
                0.999964643736671,
                0.999968798096124,
                0.9999993524054335,
                0.9999151889691078
            ],
            [
                0.9999986290426297,
                0.9999991684717741,
                0.9999938558268638,
                0.9999987901346049,
                0.9999994956524716,
                0.9998766054252257,
                0.9999885212346111,
                0.9999982396574162,
                0.999998446502801,
                0.9999980052702786
            ],
            [
                0.9999339478633428,
                0.9999991684718732,
                0.9999990577557432,
                0.9999724642957917,
                0.9999945777829696,
                0.9999994284997573,
                0.9999967112501504,
                0.9999485577802993,
                0.9999599363173831,
                0.9999974387187053
            ],
            [
                0.9999990577551815,
                0.999999730042319,
                0.9999998874647976,
                0.9999832985801568,
                0.9999996940976636,
                0.9999952149032239,
                0.999998790134605,
                0.9999957771660526,
                0.9999921107374147,
                0.9999251537908969
            ],
            [
                0.9999885212359833,
                0.9999990577556308,
                0.9999967112517189,
                0.9999996940976636,
                0.999999352404893,
                0.9999996072136125,
                0.999998790134028,
                0.9999898700126468,
                0.9999945777823236,
                0.9999962733620489
            ],
            [
                0.9999898700066069,
                0.9999957771675625,
                0.9999957771660523,
                0.9999921107345942,
                0.9999992661786695,
                0.9999910603068946,
                0.999999168471675,
                0.9994472212715543,
                NaN,
                0.9999599363126283
            ],
            [
                0.9999756997563787,
                0.999997097686631,
                0.9999910603005021,
                0.999997097686977,
                0.999903897573855,
                0.9999986290421395,
                0.9999995549150541,
                0.9999852610162724,
                0.9999485577864,
                0.9999989322975118
            ],
            [
                0.9999898700041909,
                0.9999989322975118,
                0.999985261019786,
                0.9999986290432834,
                0.9999930377454107,
                0.9999980052695652,
                0.9999687980886474,
                0.9999785550490333,
                0.9999990577552939,
                0.9999869928653348
            ],
            [
                1.2098659719122375e-06,
                2.2603251060985603e-06,
                6.144174601588856e-06,
                9.422450431732037e-07,
                8.939699499823059e-06,
                8.315279285088606e-07,
                1.3007134656943884e-05,
                1.994730672496148e-06,
                2.9023123307122503e-06,
                3.4663274507287414e-07
            ],
            [
                0.999999554914895,
                0.9999997897566338,
                0.9999938558239336,
                0.9999810748495133,
                0.9999339478319458,
                0.9999339478397001,
                0.9998766054110851,
                0.9999952149037942,
                0.9999339478396944,
                0.9999869928730897
            ],
            [
                0.9999982396567868,
                0.9999885212291387,
                0.9999852610162724,
                0.9999990577557432,
                0.9999967112501507,
                0.9999938558246664,
                0.9999687980997926,
                0.9998601779429858,
                0.9999984465015046,
                0.9999991684717742
            ],
            [
                0.9999984465022455,
                0.9999945777823233,
                0.9999687980886505,
                0.9999756997622014,
                0.9999930377462403,
                0.9999038976080912,
                0.9999869928761894,
                0.9999962733620488,
                0.9999785550413824,
                0.9999974387168734
            ],
            [
                0.9999546021422423,
                0.9999251537728716,
                0.9999910603026321,
                0.9999996940977366,
                0.999959936298279,
                0.9999970976873229,
                0.9999994284995529,
                0.9999982396574163,
                0.9999952149043646,
                0.9999599363078789
            ],
            [
                0.9999938558253983,
                0.9999977396746244,
                0.9999974387168751,
                0.9999785550567011,
                0.9999921107383553,
                0.9999982396574164,
                0.9999885212347956,
                0.9999945777810306,
                0.9999990577557432,
                0.9999910603068967
            ],
            [
                0.9999952149055056,
                0.9999885212318759,
                0.9999982396569966,
                0.9999869928746377,
                0.9999952149037944,
                0.9999646437408712,
                0.9999869928668866,
                0.9999967112505435,
                0.9999952149037951,
                0.9999987901338838
            ],
            [
                0.9999996072138465,
                0.9999970976887068,
                0.9999967112497585,
                0.9999997897565587,
                0.9999962733616043,
                0.9999994956526519,
                0.9999485577618628,
                0.9999982396569966,
                0.9999832985781574,
                0.999993037741261
            ],
            [
                0.9999998724809875,
                0.9999756997476907,
                0.9999967112505427,
                0.9999810748540229,
                0.9999930377420916,
                0.9999885212291387,
                0.9999974387174841,
                0.9999952149032242,
                0.9999998555020307,
                0.9999984465024307
            ],
            [
                0.9999885212264511,
                0.9998766053665393,
                0.9999987901343165,
                0.9999974387187056,
                0.9999938558239335,
                0.9999977396765108,
                0.9999646437450841,
                0.9999977396765106,
                0.999996273360272,
                0.9999938558253988
            ],
            [
                0.9999921107336548,
                0.9999987901344607,
                0.9999962733607165,
                0.9999980052693274,
                0.9999967112501504,
                0.9999967112521109,
                0.9999994284996893,
                0.999997438716568,
                0.9999990577556308,
                0.9999992661787571
            ],
            [
                0.9999885212359829,
                0.999993855826131,
                0.999959936307876,
                0.9999945777810305,
                0.999796573029042,
                0.9999339478634293,
                0.9999945777823233,
                0.9999989322972572,
                0.9999982396567868,
                0.9999546021314538
            ]
        ]
    },
    {
        "q_id": "10370_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999910603068943,
                0.9999952149049357,
                0.9999832985821429,
                0.9999546021259734,
                0.9999756997650677,
                0.9999957771670589,
                0.9999952149060767,
                0.9999810748449972,
                0.9999977396746245,
                0.9999982396559474
            ],
            [
                0.9999990577554062,
                0.999999266179107,
                0.9999989322973846,
                0.9999992661787571,
                0.9999977396748939,
                0.9999997617631752,
                0.9999970976887074,
                0.999998446502801,
                0.9999992661791944,
                0.9999989322973846
            ],
            [
                0.9999869928653358,
                0.9999687980849181,
                0.9999646437408679,
                0.9999962733620491,
                0.9999910603068946,
                0.9999989322970027,
                0.9999967112501509,
                0.9999962733616046,
                0.9999987901343165,
                0.9999990577555185
            ],
            [
                0.9999991684716749,
                0.9999989322973845,
                0.9999991684719723,
                0.9999994956525918,
                0.9999986290432835,
                0.9999993524052018,
                0.9999977396754328,
                0.9999993524052018,
                0.9999986290424663,
                0.9999987901347492
            ],
            [
                2.1444940741392653e-05,
                0.9975273767285094,
                0.99994855779862,
                0.9996646498103884,
                0.9999646437408712,
                0.9995121427705821,
                0.999088948780274,
                0.999941708741448,
                0.9997694932028004,
                0.9993736657478164
            ],
            [
                0.9999952149049351,
                0.999995777166556,
                0.9999921107392958,
                0.9999945777810305,
                0.9999485578047641,
                0.9999952149049351,
                0.9999756997534821,
                0.9999974387187053,
                0.9991959139624201,
                0.9999945777810305
            ],
            [
                0.9999995549150542,
                0.9999992661790195,
                0.9999986290421394,
                0.999999168471675,
                0.9999994284994848,
                0.9999996072138465,
                0.9999993524053562,
                0.9999986290421395,
                0.9999996940976271,
                0.9999996533672135
            ],
            [
                0.9999967112497585,
                0.9999952149072168,
                0.9999952149032237,
                0.9998204720984322,
                0.999993855823934,
                0.9999977396762412,
                0.9999339478553727,
                0.9999967112505427,
                0.999993855825399,
                0.9999962733598275
            ],
            [
                0.9999993524051246,
                0.9999977396754328,
                0.9999970976866323,
                0.9999996072136125,
                0.9999990577550691,
                0.9999994956527721,
                0.9999977396754328,
                0.9999986290424664,
                0.9999989322975119,
                0.9999991684722697
            ],
            [
                0.999995777164543,
                0.9999994956524114,
                0.9999989322968755,
                0.999995777166556,
                0.9999990577555185,
                0.9999995549149481,
                0.999999352405279,
                0.9999991684718732,
                0.9999997897566089,
                0.9999996533674615
            ],
            [
                0.999996273362049,
                0.9999967112493665,
                0.999996273358939,
                0.9999987901337396,
                0.9999992661787571,
                0.9999967112501507,
                0.9999991684721706,
                0.9999989322966208,
                0.9999990577557432,
                0.9999984465016899
            ],
            [
                0.9999984465020604,
                0.9999996072137529,
                0.9999996072136125,
                0.9999977396748941,
                0.9999962733616048,
                0.9999996533674201,
                0.9999996940976638,
                0.9999990577554061,
                0.9999998555019619,
                0.9999995549151073
            ],
            [
                0.9999785550490354,
                0.9999938558224687,
                0.999995214906076,
                0.999997097687669,
                0.9999980052700407,
                0.9999898700078157,
                0.9999938558253986,
                0.9999785550413729,
                0.9999910603036967,
                0.999997438717484
            ],
            [
                0.9999995549151072,
                0.9999996072136592,
                0.9999980052707541,
                0.9999987901337397,
                0.9999991684722698,
                0.9999957771665556,
                0.9999885212277747,
                0.9999898700114435,
                0.999738809660826,
                0.9999989322970027
            ],
            [
                0.9999987901341723,
                0.9999989322966208,
                0.9999952149049358,
                0.9999989322968754,
                0.9999945777810313,
                0.9999977396762411,
                0.9999986290421394,
                0.9999970976883609,
                0.9999990577551815,
                0.9999984465024306
            ],
            [
                0.9999984465024306,
                0.9999991684721706,
                0.999997438717484,
                0.999999266178932,
                0.9999992661789321,
                0.999999057755743,
                0.9999992661786696,
                0.9999987901341724,
                0.9999991684718732,
                0.9999994956524716
            ],
            [
                0.9999982396561572,
                0.9999992661792819,
                0.9999990577552937,
                0.9999986290427932,
                0.999999168471675,
                0.9999930377437534,
                0.9999977396748939,
                0.9999986290427932,
                0.9999977396751634,
                0.9999986290426297
            ],
            [
                0.9999921107364752,
                0.9999832985781612,
                0.9999810748517622,
                0.9999151889384845,
                0.9999546021476535,
                0.9999251537817111,
                0.9998415637267463,
                0.999991060302631,
                0.9999898700066053,
                0.99993394785544
            ],
            [
                0.9999989322973845,
                0.9999952149037942,
                0.999997097688707,
                0.9999977396765105,
                0.9999992661788445,
                0.9999984465016899,
                0.9999957771660523,
                0.9999967112497586,
                0.9999980052700408,
                0.999998005269803
            ],
            [
                0.999994577781031,
                0.9998415638021905,
                0.9999810748540218,
                0.9999970976883609,
                0.9999910603036973,
                0.9999339478553779,
                0.9999599363078501,
                0.9999885212305073,
                0.9999832985761665,
                0.9996200154268013
            ],
            [
                0.9999993524053563,
                0.9999987901347492,
                0.9999991684721706,
                0.9999984465026158,
                0.9999996072137529,
                0.9999993524053562,
                0.9999991684718733,
                0.9999993524049703,
                0.9999991684717741,
                0.9999995549151072
            ],
            [
                0.9999970976869772,
                0.9796676467686471,
                0.9999994284994848,
                0.9999982396565769,
                0.9999993524052018,
                0.9999945777790917,
                0.9999930377420916,
                0.9999967112497591,
                0.9999997897565838,
                0.9999996940977366
            ],
            [
                0.9999994284992805,
                0.9999984465015048,
                0.999996711252111,
                0.9999962733602723,
                0.9999995549150542,
                0.9999984465026158,
                0.9999991684720715,
                0.9999938558261313,
                0.9999989322968754,
                0.9999989322967482
            ],
            [
                0.9999599362934953,
                0.9999974387184,
                0.999986992876188,
                0.9999599363173852,
                0.9999930377429208,
                0.9998911031038012,
                0.9999485577986293,
                0.9999869928668849,
                0.9999756997592781,
                0.9999852610145158
            ],
            [
                0.9999970976887068,
                0.9999987901338838,
                0.9999974387171787,
                0.9999952149043646,
                0.9999991684715759,
                0.9999991684721706,
                0.9999994284996211,
                0.9999989322972572,
                0.9999991684719723,
                0.999998446502801
            ],
            [
                0.9999921107374147,
                0.9999885212305091,
                0.9997040429007811,
                0.999954602131393,
                0.9999898700066077,
                0.9980732655374832,
                0.9999417087553398,
                0.9999852610180315,
                0.9999417087275244,
                0.9999957771665555
            ],
            [
                0.999997438717484,
                0.9999993524050474,
                0.9999945777823235,
                0.9999957771675625,
                0.9999980052702786,
                0.9999989322975118,
                0.9999986290426297,
                0.9999990577555185,
                0.9999977396759716,
                0.9999989322968754
            ],
            [
                0.9999986290432834,
                0.9999991684720715,
                0.9999967112493665,
                0.9999984465020603,
                0.9999910602994346,
                0.9999995549149481,
                0.9999991684720715,
                0.9999962733611605,
                0.9999970976880149,
                0.9999992661789321
            ],
            [
                0.9999970976880149,
                0.9999994956523514,
                0.9999945777797377,
                0.9999994284994167,
                0.9999952149055057,
                0.9999885212291395,
                0.9999957771675627,
                0.9999832985841371,
                0.9999910603058285,
                0.9999910603036976
            ],
            [
                0.9999991684720715,
                0.9999994284997574,
                0.9999995549147889,
                0.9999994956527721,
                0.9999952149072171,
                0.9999996533675028,
                0.9999997617630616,
                0.9999997897566589,
                0.9999994284996891,
                0.9999996533674202
            ],
            [
                0.9902915249153408,
                0.9993736658289927,
                0.9964063974602647,
                0.9875683495584362,
                0.9964063977854053,
                0.993307148162471,
                0.9940889299370543,
                0.9940889320385214,
                0.9975273770845623,
                0.9997040428654331
            ],
            [
                0.9998601779096359,
                0.9999982396567867,
                0.9999986290423029,
                0.9999417087414438,
                0.9999982396559474,
                0.999995214903224,
                0.9999970976876691,
                0.9999980052693274,
                0.9999980052693275,
                0.9999982396574162
            ],
            [
                0.9999967112505427,
                0.9999986290429566,
                0.9999885212359829,
                0.9999921107383586,
                0.9999977396754328,
                0.999997097689053,
                0.9999930377437529,
                0.9999930377412608,
                0.9999938558239336,
                0.999997438717484
            ],
            [
                0.9999967112501505,
                0.9999989322967481,
                0.9999986290421395,
                0.9999993524050474,
                0.9999994956523514,
                0.9999992661786695,
                0.9999991684718732,
                0.999999266179107,
                0.9999989322970028,
                0.9999989322967482
            ],
            [
                0.998967768808029,
                0.9992903295430676,
                0.9999417087067083,
                0.999933947878961,
                0.9996200155172518,
                0.9971990735050077,
                0.9998766054107439,
                0.9996646497303736,
                0.9984988180721922,
                0.9999038975851088
            ],
            [
                0.9999599362982616,
                0.9996200154704458,
                0.9998415637832303,
                0.999925153772803,
                0.9989677690473957,
                0.9999485577618298,
                0.999860177859368,
                0.9997694932027467,
                0.9999251537371195,
                0.9999832985761661
            ],
            [
                0.9999986290421394,
                0.9999984465016899,
                0.9999991684719723,
                0.9999984465016899,
                0.9999952149049356,
                0.9999980052693275,
                0.9999984465020603,
                0.9999974387177893,
                0.9999930377404314,
                0.9999982396572065
            ],
            [
                0.9997040428677065,
                0.998830489464869,
                0.9997965729302667,
                0.998498817994715,
                0.9996200154721371,
                0.9992903297186269,
                0.9997388097535417,
                0.9993736658315796,
                0.9975273763236426,
                0.9998911030778442
            ],
            [
                0.9999546021313743,
                0.9990889489884927,
                0.9999898700102289,
                6.9622579096593295e-06,
                0.9999339478238508,
                0.9998911030389624,
                0.9998766053664352,
                0.9999339478317286,
                0.9999546021421873,
                0.9996200154720597
            ],
            [
                0.9999982396559474,
                0.9999952149049355,
                0.9999991684717742,
                0.9999599362935121,
                0.9999990577551815,
                0.999995214904935,
                0.9999994956524715,
                0.9999980052700409,
                0.99992515377279,
                0.9999991684719723
            ],
            [
                0.9999974387184,
                0.9999885212359819,
                0.9999974387165681,
                0.9999974387171787,
                0.9999952149072173,
                0.9999996533675028,
                0.9999989322973845,
                0.9999977396754328,
                0.9999982396565769,
                0.9999970976887069
            ],
            [
                0.999997097687323,
                0.9999987901337396,
                0.9999990577554062,
                0.9999974387165684,
                0.9999982396572065,
                0.999999266179107,
                0.9999991684720715,
                0.9999982396569966,
                0.9999993524052789,
                0.9999991684715759
            ],
            [
                0.9999984465015047,
                0.9999952149066462,
                0.9999898700053997,
                0.9999910603004993,
                0.9999980052700408,
                0.9999952149066464,
                0.9999339478317334,
                0.9999962733616045,
                0.9999967112501507,
                0.9999952149066462
            ],
            [
                0.9999994956526519,
                0.999998790134605,
                0.9999996072138465,
                0.9999993524050473,
                0.9999993524050474,
                0.9999995549150542,
                0.9999997300421903,
                0.9999994284995529,
                0.9999986290426299,
                0.9999994284992805
            ],
            [
                0.9998601778594107,
                0.9997388097227099,
                0.9999485577740902,
                0.9980732649207235,
                0.9991959141499999,
                0.999769493367164,
                0.9998601779761566,
                0.9998601779592466,
                0.9999151889182442,
                0.9999785550464753
            ],
            [
                0.999959936288716,
                0.9999962733607161,
                0.9999251537816986,
                0.9999938558268633,
                0.9999910603026313,
                0.9999986290424664,
                0.9999869928761894,
                0.9999038975965941,
                0.9999910603026309,
                0.9999885212318744
            ],
            [
                5.144220749261362e-05,
                0.9999984465022455,
                0.9999962733589393,
                0.9999967112493665,
                0.9999962733593833,
                0.9999885212318762,
                0.9999785550490348,
                0.9999982396574163,
                0.9999957771665556,
                0.9999977396746245
            ],
            [
                0.9999986290431201,
                0.9999996072136592,
                0.9999996533672136,
                0.9999984465015047,
                0.9999945777823249,
                0.9999993524053562,
                0.9999982396567868,
                0.9999992661789321,
                0.9999991684718732,
                0.9999986290426298
            ],
            [
                0.9999957771650456,
                0.9999962733598274,
                0.9990889489942147,
                0.9999945777790913,
                0.9999687980960733,
                0.9999921107374147,
                0.9999038975965325,
                0.9999599363221504,
                0.9999930377462406,
                0.9999724643154692
            ],
            [
                0.9999945777797377,
                0.9999977396757022,
                0.9999984465016899,
                0.9999687980997926,
                0.9999977396759717,
                0.9999930377404319,
                0.9999945777797382,
                0.9999930377445807,
                0.999998446502801,
                0.9999724643154776
            ],
            [
                0.9999986290421394,
                0.9999962733602719,
                0.9999938558246662,
                0.9999986290426297,
                0.999995777168066,
                0.999998239656367,
                0.9999982396561572,
                0.9999938558239341,
                0.9999977396765105,
                0.9999910603068942
            ],
            [
                0.9999724643121878,
                0.999876605439966,
                0.9998911031038679,
                0.9999852610145148,
                0.9999832985781584,
                0.9999687980737629,
                0.9997040429363959,
                0.9999417087275482,
                0.9999756997534762,
                0.9999546021368159
            ],
            [
                0.999999266178757,
                0.9999930377420919,
                0.999991060302631,
                0.9999982396561572,
                0.9999967112517187,
                0.9999989322968754,
                0.9999756997505811,
                0.9999885212346115,
                0.9999996072139402,
                0.999998629042303
            ],
            [
                0.9999962733616049,
                0.999999168471675,
                0.9999997300422869,
                0.999999694097846,
                0.9999994284992805,
                0.9999996072137061,
                0.9999994284995529,
                0.9999993524051246,
                0.9999996940978095,
                0.9999994956524114
            ],
            [
                0.9999991684718733,
                0.99999862904263,
                0.9999987901343166,
                0.999999653367379,
                0.9999993524049702,
                0.9999994956524716,
                0.9999996533672962,
                0.9999996940977002,
                0.9999996533673375,
                0.9999995549147889
            ],
            [
                0.9999977396757023,
                0.9999986290431201,
                0.999997097688361,
                0.9999980052702786,
                0.999997438717484,
                0.999997438717484,
                0.9999957771655488,
                0.9999945777810305,
                0.9999990577552939,
                0.9999869928699883
            ],
            [
                0.9999984465020603,
                0.9999997617629764,
                0.9999994956525917,
                0.9999996533675028,
                0.9999930377404315,
                0.9999987901340281,
                0.9999994284996893,
                0.9999989322975119,
                0.9999989322968754,
                0.9999997300422869
            ],
            [
                0.999999694097773,
                0.9999990577552939,
                0.9999997897566089,
                0.9999997617630049,
                0.9999996940978095,
                0.9999992661788445,
                0.9999990577549569,
                0.9999993524052789,
                0.9999986290431201,
                0.9999984465016899
            ],
            [
                0.999997097688707,
                0.9999952149032243,
                0.9999970976887068,
                0.9999952149060761,
                0.9999921107392967,
                0.999998005269803,
                0.9999993524051246,
                0.9999974387165682,
                0.9999982396559473,
                0.9999989322973845
            ],
            [
                0.9997694932036522,
                0.9994472213900893,
                0.9999756997592687,
                0.9995694428597055,
                0.99973880959746,
                0.9996200155157815,
                0.9997388097545525,
                0.9947798753849236,
                0.9999251537816741,
                0.9995694429651699
            ],
            [
                0.9999982396572065,
                0.999998005269803,
                0.9999810748540204,
                0.9999982396569966,
                0.9999687980849129,
                0.999991060299435,
                0.9999151889284265,
                0.9999646437408649,
                0.999995214903224,
                0.9999921107383551
            ],
            [
                0.9999982396565769,
                0.9999995549151073,
                0.999999352404893,
                0.9999995549150542,
                0.9999994284996211,
                0.9999984465018751,
                0.9999980052702786,
                0.9999994956527121,
                0.9999977396748939,
                0.9999990577552939
            ],
            [
                0.9999994956523514,
                0.9999996072136593,
                0.9999991684719723,
                0.9999996533673375,
                0.9999982396569966,
                0.9999996533672136,
                0.999999352404893,
                0.9999989322967482,
                0.9999974387165682,
                0.9999989322967482
            ],
            [
                0.999999694097773,
                0.9999993524049703,
                0.9999980052700408,
                0.999999495652652,
                0.9999974387187053,
                0.999999495652712,
                0.9999996072136125,
                0.9999986290427931,
                0.9999996072138465,
                0.999999266178932
            ],
            [
                0.9999980052707542,
                0.9999992661786696,
                0.9999990577551815,
                0.9999980052707541,
                0.9999970976869771,
                0.9999982396574163,
                0.9999970976876692,
                0.9999980052695652,
                0.9999989322975118,
                0.9999986290421395
            ],
            [
                0.999998005269803,
                0.9999977396757022,
                0.9999938558239339,
                0.999995777168066,
                0.9999993524051246,
                0.9999962733602719,
                0.9999984465022455,
                0.9999984465026158,
                0.99999893229713,
                0.9999982396561572
            ],
            [
                0.9999993524051246,
                0.9999996533672549,
                0.9999990577556308,
                0.9999994284994848,
                0.9999994956525317,
                0.9999996072136592,
                0.9999994284995529,
                0.9999987901344607,
                0.9999982396559474,
                0.9999986290429567
            ],
            [
                0.9999993524049703,
                0.999998629042303,
                0.9999996533674615,
                0.9999984465024311,
                0.9999994956525917,
                0.9999997617629764,
                0.9999989322973847,
                0.9999991684722698,
                0.9999992661788445,
                0.9999986290432836
            ],
            [
                0.9964063979571463,
                0.9669140192277584,
                0.9579122735862823,
                0.9975273763471881,
                0.8807970701552505,
                0.9149009567332237,
                0.9706877696196289,
                0.9859363752166294,
                0.9924227596390774,
                0.9953904279958274
            ],
            [
                0.9999987901341724,
                0.9999977396762412,
                0.9999980052705166,
                0.9999991684720715,
                0.9999992661787571,
                0.9999994956524115,
                0.999999653367379,
                0.9999977396746245,
                0.9999974387180948,
                0.9999989322972572
            ],
            [
                0.9999945777810305,
                0.9989677691738014,
                0.999933947839643,
                0.9994472213268984,
                0.9996200154716175,
                0.9997388095986608,
                0.9999832985841317,
                0.9999339478396593,
                0.9999724643089107,
                0.9998601778762006
            ],
            [
                0.9999810748427413,
                0.9999980052707542,
                0.9999991684720715,
                0.9999997300422225,
                0.9999991684721706,
                0.9999996940978825,
                0.999999789756684,
                0.9999997897567342,
                0.999999266178757,
                0.999999554914895
            ],
            [
                0.9999687980774852,
                0.9999546021097292,
                0.9999599362935033,
                0.9998766053662573,
                0.9999646437619387,
                0.9999251537817307,
                0.9999945777816772,
                0.9999151889486347,
                0.9999724643056263,
                0.9999869928684365
            ],
            [
                0.9999989322973846,
                0.9999967112497586,
                0.999996711250935,
                0.9999885212346183,
                0.9999982396572065,
                0.9999993524049703,
                0.9999986290427931,
                0.9999885212277715,
                0.999986992866886,
                0.9999945777816783
            ],
            [
                0.9999970976883609,
                0.9999898700126449,
                0.9999724642957784,
                0.9999986290424663,
                0.9997965730998162,
                0.9999987901338839,
                0.999997097688707,
                0.9999898700114374,
                0.999994577778445,
                0.9999687980849142
            ],
            [
                0.9999339478711341,
                0.999876605439948,
                0.9998766054399983,
                0.9999921107355338,
                0.9999339478710788,
                0.9980732656742674,
                0.9997965730276775,
                0.9999687980774796,
                0.9997388095978097,
                8.93969630388855e-06
            ],
            [
                0.9989677691695998,
                0.9997388095973233,
                0.9989677691587959,
                0.999512142766722,
                0.9999251537638378,
                0.9975273770277088,
                0.9994472213894782,
                0.9997388097224972,
                0.9947798752035646,
                0.9988304896147295
            ],
            [
                0.9997965730512927,
                0.9999785550592607,
                0.9999921107345934,
                0.9999417087275605,
                0.9999151889486434,
                0.9999339478318396,
                0.9997694932038266,
                0.9994472213933372,
                0.9999785550439207,
                0.9999832985741761
            ],
            [
                0.9999810748427478,
                0.9999938558239336,
                0.9999869928746379,
                0.9999930377429209,
                0.999954602120557,
                0.9999957771655489,
                0.9999980052705163,
                0.9999756997476879,
                0.9999977396748939,
                0.9999885212305076
            ],
            [
                0.9999151889182842,
                0.999738809722634,
                0.9999832985701949,
                0.9999599363078182,
                0.9999646437450808,
                0.9998766054104872,
                0.9997965730027248,
                0.9997694933406309,
                0.9997040429717438,
                0.9959298620462673
            ],
            [
                0.9999910603047634,
                0.9999974387177893,
                0.9999989322972572,
                0.9999962733620488,
                0.9999967112497586,
                0.9999910602994339,
                0.999998790134605,
                0.999997097687323,
                0.9999852610215463,
                0.9999945777810305
            ],
            [
                0.999999266179107,
                0.9999977396762411,
                0.9999993524049702,
                0.9999885212264031,
                0.9999977396759716,
                0.9999980052693275,
                0.9999996072139402,
                0.9999990577557432,
                0.9999962733616047,
                0.999999266179107
            ],
            [
                0.9999987901343166,
                0.9999991684718732,
                0.9999982396565769,
                0.9999967112521111,
                0.9999810748517663,
                0.999998446502801,
                0.9999994956525317,
                0.9999989322966208,
                0.9999984465016899,
                0.9999945777816772
            ],
            [
                0.9975273772005666,
                0.9999986290426299,
                0.9999989322966208,
                0.9999980052698031,
                0.9999997300422225,
                0.9999989322970028,
                0.9999974387180948,
                0.9999974387177896,
                0.9999991684718733,
                0.9999990577549569
            ],
            [
                0.9999977396762411,
                0.9999945777803846,
                0.99999844650169,
                0.9999852610197894,
                0.9999945777803844,
                0.9999898700078182,
                0.9999687980923697,
                0.9999967112505427,
                0.9999957771675627,
                0.9999986290427932
            ],
            [
                0.9999982396569966,
                0.9999852610233028,
                0.9999977396746244,
                0.9999251537460145,
                0.9999810748495063,
                0.9999869928761873,
                0.999989870005398,
                0.999992110737415,
                0.9998911031167045,
                0.999998790134028
            ],
            [
                0.9999852610197867,
                0.9999251537638378,
                0.999991060300499,
                0.999981074844995,
                0.9999852610197857,
                0.9999910603015649,
                0.9988304898795015,
                0.9999785550464791,
                0.9999970976880148,
                0.9999687980774731
            ],
            [
                0.9999962733620488,
                0.999993037741261,
                0.999997438716568,
                0.9999785550413666,
                0.999991060303697,
                0.9999869928668851,
                0.9999885212264018,
                0.9999957771655487,
                0.9999962733593835,
                0.9999984465020603
            ],
            [
                0.9999992661789321,
                0.9999996940976636,
                0.9999970976880149,
                0.9999984465020603,
                0.9999995549148419,
                0.9999967112509349,
                0.9999996072138934,
                0.999999168471675,
                0.9999970976869772,
                0.9999995549151073
            ],
            [
                0.9999994284996891,
                0.9999989322966208,
                0.9999996940976636,
                0.9999989322968755,
                0.9999986290426297,
                0.9999996533674201,
                0.9999994956523512,
                0.999998790134028,
                0.9999993524050474,
                0.9999994284994848
            ],
            [
                0.9999982396569966,
                0.9999992661790196,
                0.9999990577550691,
                0.999999495652712,
                0.9999982396569966,
                0.999999428499553,
                0.9999984465024306,
                0.9999992661792819,
                0.9999994284994849,
                0.9999993524052789
            ],
            [
                0.9999991684721706,
                0.9999974387184001,
                0.9999869928668863,
                0.9999987901338839,
                0.9999980052705163,
                0.9999995549147358,
                0.999999352405279,
                0.9999990577557432,
                0.9999987901338839,
                0.9999990577550691
            ],
            [
                0.9999832985741761,
                0.9999952149066467,
                0.9999485577924977,
                0.999998239656367,
                0.9999339478396824,
                0.9999980052709919,
                0.999998005269803,
                0.9999485577679679,
                0.9999938558239335,
                0.9999485577679526
            ],
            [
                0.9999898700066062,
                0.9999984465022455,
                0.9999980052695652,
                0.9997694932582344,
                0.9999967112513268,
                0.9999885212305079,
                0.9999962733593836,
                0.9999832985721862,
                0.9999852610197881,
                0.9999785550592593
            ],
            [
                0.9999930377404317,
                0.9999930377462403,
                0.9999952149066464,
                0.9999885212346137,
                0.9999930377454107,
                0.9999898700078128,
                0.9999810748562746,
                0.9999938558239335,
                0.9999930377420904,
                0.9999938558239335
            ],
            [
                0.9999962733593832,
                0.9999898700053984,
                0.999997097687669,
                0.999994577780384,
                0.9999869928668871,
                0.9999339478474549,
                0.999978555046477,
                0.9999962733598275,
                0.9999967112513269,
                0.9999967112505427
            ],
            [
                0.9999984465024306,
                0.9999945777790913,
                0.9999974387171787,
                0.9999967112521108,
                0.9999974387171787,
                0.9999977396748939,
                0.9999974387171787,
                0.9999921107345938,
                0.9999984465015047,
                0.9999974387187053
            ],
            [
                0.9998766053664531,
                0.9993736659797227,
                0.9998204720344616,
                0.9999945777816786,
                0.9998911031039089,
                0.9999339478317647,
                0.999195913968874,
                0.9999599362887179,
                0.9998204719490672,
                0.9995694430155974
            ],
            [
                0.9999992661790195,
                0.9999980052700408,
                0.999993037745411,
                0.9999952149055056,
                0.9999994956526519,
                0.9999962733616047,
                0.9999987901341724,
                0.999998239656367,
                0.9999990577549568,
                0.9999989322968754
            ],
            [
                0.9999977396762413,
                0.9999885212318756,
                0.999975699753483,
                0.9999962733598278,
                0.9999756997505882,
                0.9999977396757025,
                0.999998446502801,
                0.9999974387171787,
                0.9999687980812015,
                0.9999921107383558
            ],
            [
                0.9999984465018751,
                0.9999898700053994,
                0.9999910602994345,
                0.9999599363078477,
                0.9999930377404322,
                0.9999945777810308,
                0.9999785550515917,
                0.9999724643089233,
                0.9999962733607162,
                0.9999599363173941
            ],
            [
                0.9999962733611603,
                0.9999417087414566,
                0.9999952149066462,
                0.9999646437619449,
                0.999995214906076,
                0.9999930377462405,
                0.9999852610215446,
                0.9999852610215443,
                0.999997097687669,
                0.9999724643089107
            ],
            [
                0.9999945777790915,
                0.9999982396559474,
                0.9999869928746392,
                0.9999921107402365,
                0.999998239656367,
                0.9999987901337396,
                0.999999168471675,
                0.9999962733598275,
                0.9999990577550693,
                0.9999986290431201
            ],
            [
                0.9840936058681798,
                0.9947798738711798,
                0.9959298618952601,
                0.8670357477770337,
                0.979667648957661,
                0.9770226294627451,
                0.9914225151485998,
                0.9399133439350608,
                0.9579122728353316,
                0.996827317315831
            ],
            [
                0.9999984465018752,
                0.9999982396561574,
                0.9999984465018752,
                0.9999997617631469,
                0.9999974387180948,
                0.999999352404893,
                0.9999974387180949,
                0.9999980052707543,
                0.999998005269803,
                0.9999994284996211
            ],
            [
                0.9999921107392958,
                0.9999977396757022,
                0.999989870005398,
                0.9990889487778368,
                0.9999977396762411,
                0.9999952149049351,
                0.9999938558253983,
                0.9997040428312477,
                0.9997965729546867,
                0.9999957771665557
            ],
            [
                0.9999885212291401,
                0.9999984465028011,
                0.9999852610162749,
                0.9999977396762412,
                0.9999974387187053,
                0.999998446502801,
                0.9999921107345938,
                0.9999967112513267,
                0.9999546021422556,
                0.9999974387171787
            ],
            [
                0.9999989322972573,
                0.9999977396754327,
                0.9999938558268642,
                0.9999974387171787,
                0.9999974387187053,
                0.999998932296621,
                0.9999987901346049,
                0.9999984465016899,
                0.9999977396746245,
                0.9999982396572065
            ],
            [
                0.9999957771680661,
                0.9999977396754328,
                0.9999987901341724,
                0.999998239656367,
                0.9999952149072167,
                0.999998790134605,
                0.9999984465016899,
                0.9999982396567867,
                0.9999986290432835,
                0.9999984465024306
            ],
            [
                0.9999992661789321,
                0.9999546021313694,
                0.9999986290429566,
                0.9999982396572065,
                0.9999990577557432,
                0.9999989322970027,
                0.9999952149032241,
                0.9999986290423029,
                0.9999970976866317,
                0.9999967112513268
            ],
            [
                0.9999987901346049,
                0.9999989322970027,
                0.9999986290427931,
                0.9999982396561575,
                0.99999893229713,
                0.9999990577557432,
                0.9999991684722697,
                0.9999930377429216,
                0.9999986290427932,
                0.9999993524050474
            ],
            [
                0.9999993524049703,
                0.999997097687669,
                0.9999994284996211,
                0.999999168471675,
                0.9999980052700408,
                0.9999938558224692,
                0.9999974387174843,
                0.9999957771660523,
                0.9999984465018752,
                0.9999986290424663
            ],
            [
                0.999999428499553,
                0.9999921107374159,
                0.9999990577555185,
                0.9999967112509347,
                0.9999980052693275,
                0.9997694933673787,
                0.999998005270992,
                0.9999982396565769,
                0.999997438717484,
                0.9999992661788445
            ],
            [
                0.9999987901341723,
                0.9999990577557432,
                0.9999989322972572,
                0.9999994284993485,
                0.9999990577554062,
                0.9999992661791944,
                0.9999996533675028,
                0.999997097688361,
                0.9999996072137529,
                0.999999495652652
            ],
            [
                0.9999938558232012,
                0.9999945777790916,
                0.9999957771650456,
                0.9999810748449924,
                0.9999957771665557,
                0.9999974387184,
                0.9999885212305079,
                0.999993037740431,
                0.999996273362049,
                0.9999724643154754
            ],
            [
                1.1478769493916314e-05,
                0.9924227576571196,
                0.9953904272544255,
                0.9706877711035696,
                0.9975273767939773,
                0.9770226285009934,
                0.9980732650169871,
                0.99908894888539,
                0.9959298628805827,
                0.9046505331728752
            ],
            [
                0.9997694933132795,
                0.9998601779260615,
                0.9997694932584088,
                0.9999852610127579,
                0.9940889306649062,
                0.9998415638399794,
                0.9996200154236065,
                0.9999599362982616,
                0.9998415637266149,
                0.9996200154258397
            ],
            [
                0.9999994956524715,
                0.9999986290432835,
                0.999999168471675,
                0.9999982396565769,
                0.9999987901338838,
                0.9999984465020603,
                0.99999893229713,
                0.9998766053958474,
                0.999999266178757,
                0.9999982396561572
            ],
            [
                0.9999599363173987,
                0.9998204720554777,
                0.9998911030778569,
                0.999933947871074,
                0.9999869928746379,
                0.9999785550490321,
                0.9999151889688264,
                0.9999485577679585,
                0.9999967112497585,
                0.9999898700102285
            ],
            [
                0.9997040429363098,
                0.9947798735906777,
                0.995929862657847,
                0.9924227598036569,
                0.9997388097536177,
                0.9964063967557931,
                0.995929862061368,
                0.9840936108831304,
                0.9994472214539232,
                0.9933071500973101
            ],
            [
                0.9999785550413696,
                0.9999952149066464,
                0.9999980052695653,
                0.9999885212359826,
                0.9999984465016899,
                0.9999984465016899,
                0.9999992661790195,
                0.999996273358939,
                0.9999945777784459,
                0.9999980052709921
            ],
            [
                0.9999982396559474,
                0.9999986290429566,
                0.9999810748562757,
                0.9999994956524715,
                0.999995777168066,
                0.9999984465015047,
                0.9999994284992805,
                0.9999994284992805,
                0.9999977396746247,
                0.9999984465016899
            ],
            [
                0.999995777166556,
                0.999993037740431,
                0.9999952149066464,
                0.9999885212359809,
                0.9999921107345942,
                0.9999967112493665,
                0.999997097686977,
                0.9999974387180947,
                0.9999970976873229,
                0.9999921107392964
            ],
            [
                0.9999994956523514,
                0.99999862904312,
                0.9999938558261311,
                0.9999989322973846,
                0.999999266178932,
                0.9999980052705164,
                0.9999986290432834,
                0.9999957771680659,
                0.9999980052695652,
                0.9999974387184
            ],
            [
                0.9999980052700409,
                0.9999984465022456,
                0.9999996533674202,
                0.9999885212264024,
                0.9999989322967482,
                0.9999989322970027,
                0.9999987901344608,
                0.9999984465024306,
                0.9999977396757023,
                0.9999993524050474
            ],
            [
                0.9999986290429567,
                0.9999930377412614,
                0.999999266178932,
                0.9999990577557432,
                0.9999984465018752,
                0.9999997617631468,
                0.9999997300422225,
                0.9999995549148419,
                0.9999970976880153,
                0.9999970976873233
            ],
            [
                0.9626731111833768,
                0.9796676487721513,
                0.9953904267843723,
                0.9840936071219176,
                0.9953904277714838,
                0.8933094110250331,
                0.9959298626031068,
                0.9875683497528132,
                0.9980732653747303,
                0.9986749775051464
            ],
            [
                0.9999990577551815,
                0.9999852610197898,
                0.9999970976866314,
                0.9999991684719725,
                0.9999977396751641,
                0.9999993524054335,
                0.999948557774144,
                0.9999957771675626,
                0.9999970976873231,
                0.9999989322970028
            ]
        ]
    },
    {
        "q_id": "10556_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999930377429205,
                0.9999869928668843,
                0.9999938558246658,
                0.9999921107402359,
                0.9999810748472494,
                0.9999921107383553,
                0.9999952149066461,
                0.9999952149060757,
                0.9999952149072165,
                0.9999910603015648
            ],
            [
                0.999569442964694,
                0.9978172836641871,
                0.9989677690452349,
                0.9999339478395871,
                0.9998601778929295,
                0.9999251537460335,
                0.984093611291324,
                0.9999417087414095,
                0.9991959142365644,
                0.9991959140476753
            ],
            [
                3.726639284017094e-06,
                5.043474081957179e-07,
                1.3709578605455302e-06,
                2.260324297853209e-06,
                2.9023133690637e-06,
                1.0677026154473471e-06,
                3.2887490652810324e-06,
                1.7603425837606927e-06,
                1.209865827740176e-06,
                3.2887498494551953e-06
            ],
            [
                0.9999724643023353,
                0.9999898700078128,
                0.9999546021313623,
                0.9999832985761654,
                0.9999485577863757,
                0.9999785550413615,
                0.9998415638211505,
                0.9999339478789562,
                0.9999339478789374,
                0.9999885212264013
            ],
            [
                0.9999151889283061,
                0.9998204720128602,
                0.9999485578047641,
                0.9997694931749592,
                0.9999251537727469,
                0.9999646437450808,
                0.9990889488858139,
                0.9999339478789513,
                0.999954602147594,
                0.999841563821342
            ],
            [
                0.00023050665965081935,
                0.9999885212264009,
                0.9998766054693118,
                0.9999957771665554,
                0.999972464312183,
                0.9999687980774685,
                0.9999724642957734,
                0.9997388096909586,
                0.000552778603543425,
                0.9978172831601356
            ],
            [
                0.9999810748585286,
                0.999996273360716,
                0.9999910603015649,
                0.9999646437577197,
                0.9999980052693274,
                0.9999952149066461,
                0.9999785550541431,
                0.9999910603047645,
                0.9999945777810304,
                0.9999852610215433
            ],
            [
                2.260323489490968e-06,
                3.726638839656906e-06,
                7.889264465986113e-06,
                7.889266346746518e-06,
                3.4663249714451116e-07,
                4.222834954687752e-06,
                4.785093924156175e-06,
                3.288750241473551e-06,
                1.2098662604126641e-06,
                8.939698434966738e-06
            ],
            [
                0.9999599362887198,
                0.9999756997650636,
                0.9999832985781574,
                0.9999151889789765,
                0.9999930377445803,
                0.999997097686631,
                0.9999251537549292,
                0.9999910603047619,
                0.9999599362887142,
                0.9999885212305062
            ],
            [
                0.9999339478474506,
                0.999988521231875,
                0.9999251537995338,
                0.9999852610162724,
                0.9999852610197885,
                0.9999910603036961,
                0.9999898700102277,
                0.9999646437324424,
                0.999993855826131,
                0.9999810748495074
            ],
            [
                0.9999251537727589,
                0.9999417087483918,
                0.9999852610215433,
                0.9999832985701939,
                0.999983298576167,
                0.9999038975736046,
                0.9995121429396039,
                0.9999546021313555,
                0.9999885212305069,
                0.9999869928730867
            ],
            [
                0.9999546021151239,
                0.9999810748427365,
                0.9999921107355336,
                0.9999251537906448,
                0.9971990732552868,
                0.9999930377454104,
                0.9992903297050462,
                0.9993736659705776,
                0.9999974387171787,
                0.9999646437366505
            ],
            [
                0.9999832985741761,
                0.9999546021097508,
                0.9999957771675623,
                0.9999962733611603,
                0.9999977396759716,
                0.999995214904935,
                0.9999921107392954,
                0.9999945777797377,
                0.9999910603058273,
                0.9999982396565769
            ],
            [
                0.9999852610110026,
                0.9999785550567005,
                0.999860177926147,
                0.9999485577986358,
                0.9998601778759911,
                0.9999599363078145,
                0.9999724642957762,
                0.9998601778926955,
                0.9998766054104549,
                4.5397879432165314e-05
            ],
            [
                0.999820471970039,
                3.120192624846737e-05,
                4.006370173294989e-05,
                0.9933071503759269,
                0.9959298623558323,
                0.9989677690572393,
                0.9998911030518237,
                9.610240296895177e-05,
                0.9994472213207883,
                0.9993736658969432
            ],
            [
                0.9999151889182282,
                0.9999970976873228,
                0.99998987000419,
                0.9999930377404305,
                0.9999970976880149,
                0.9999945777797374,
                0.9999957771650453,
                0.9999957771665555,
                0.9999810748562732,
                0.999994577782323
            ],
            [
                0.9999910603068939,
                0.9999910603058274,
                0.9999810748585273,
                0.9999724643187485,
                0.9999921107336525,
                0.9999962733602716,
                0.9999885212318742,
                0.9999910603058275,
                0.9999967112521106,
                0.9999957771665555
            ],
            [
                5.715005832798517e-07,
                2.5612834320214477e-06,
                9.4224425692559e-07,
                4.222831934352267e-06,
                3.288750241473551e-06,
                4.450849988811838e-07,
                6.475948754012522e-07,
                9.422450431954847e-07,
                7.889260704531226e-06,
                5.422220908560712e-06
            ],
            [
                0.999964643736649,
                7.484620931490225e-05,
                0.999975699762164,
                0.0004305571381526536,
                0.9994472213248725,
                0.9988304895873956,
                0.998830489729777,
                0.9999251537370755,
                1.0129993394959082e-05,
                0.9998204720124266
            ],
            [
                0.9999417087275321,
                0.9999687980960662,
                0.9991959140454771,
                0.9996646497695468,
                0.999981074844992,
                0.9992903295353485,
                0.9998601779093998,
                0.9999151889283289,
                0.9997388097216003,
                0.9999785550464753
            ],
            [
                0.9999485577802075,
                0.9999724643023379,
                0.9996646499700762,
                0.999981074842736,
                0.9999832985801471,
                0.9998204719484768,
                0.999959936322143,
                0.9997965730266685,
                0.9999957771680658,
                0.9999957771645419
            ],
            [
                0.9999810748517612,
                0.9999885212332426,
                0.9999785550490321,
                0.999991060304762,
                0.9999962733593833,
                0.9999251537995159,
                0.999968798081189,
                0.9999687980923541,
                0.9998766054398044,
                0.9999930377420904
            ],
            [
                0.999993855827596,
                0.9995121428236302,
                2.4300237830711845e-05,
                0.9999724642990586,
                0.9999251537549879,
                0.9999417087136322,
                0.9820137933278436,
                0.9986749778303429,
                0.9998601778925937,
                0.9999869928761874
            ],
            [
                3.7266383955882547e-06,
                1.370956716519966e-06,
                2.2603242978665707e-06,
                7.889260701926633e-06,
                6.144174601309452e-06,
                6.475950297993789e-07,
                5.422220262333096e-06,
                2.561282515988704e-06,
                6.9622537587775775e-06,
                2.2603251061664e-06
            ],
            [
                0.9999785550541535,
                0.9999921107355336,
                0.9999962733598275,
                0.9999852610145168,
                0.999988521229139,
                0.9999957771665557,
                0.9999945777790913,
                0.9999952149055052,
                0.9999962733620487,
                0.9999898700078126
            ],
            [
                0.999954602142192,
                0.9999869928715361,
                0.9999785550567016,
                0.9999910603036963,
                0.9999885212305059,
                0.999972464302337,
                0.9999970976887068,
                0.9999967112501504,
                0.9999945777816768,
                0.9999832985801483
            ],
            [
                0.9998415637643508,
                0.9997040427949182,
                0.9999832985701931,
                0.999995214906076,
                0.9999980052695652,
                0.9999251537816506,
                0.9999869928761874,
                0.9999938558275955,
                0.9999852610215433,
                0.9999938558224684
            ],
            [
                0.9999930377437517,
                0.999972464302344,
                0.9999938558275953,
                0.9999898700090202,
                0.9999852610180293,
                0.9999810748495034,
                0.999975699765066,
                0.9994472214503537,
                0.9999646437493069,
                0.9999756997563714
            ],
            [
                0.9999982396561572,
                0.9999962733593831,
                0.9999599363126035,
                0.9999980052709919,
                0.9999869928668839,
                0.9999938558268632,
                0.9999852610162715,
                0.9999832985821396,
                0.9999485577618392,
                0.9999885212277702
            ],
            [
                0.9999756997621677,
                0.9997388096904798,
                0.9999251537370629,
                0.9999646437577273,
                0.9998911030518111,
                0.9999885212359804,
                0.9999724643056201,
                0.9999251537995464,
                0.999968798077472,
                0.9999756997476837
            ],
            [
                6.144174601935314e-06,
                4.22283294098842e-06,
                9.422449308716635e-07,
                1.0677027427600627e-06,
                8.31528325021115e-07,
                7.889260704732132e-06,
                3.2887482812506295e-06,
                1.3709572068354007e-06,
                1.2098652508391807e-06,
                1.0677027427569065e-06
            ],
            [
                0.9998766053809959,
                0.9991959139547972,
                0.9999724643154692,
                0.999891103116832,
                0.9999646437535161,
                0.9998766053957325,
                0.9988304898781416,
                0.9993736659010239,
                0.9999952149049348,
                0.999968798077472
            ],
            [
                0.9999599363221651,
                0.9993736659707597,
                0.9998601779759694,
                0.9998204720340488,
                0.9999485577802075,
                0.9999599363030631,
                0.9999339478474415,
                5.144223199097187e-05,
                0.999933947831754,
                0.9991959141487373
            ],
            [
                0.9998766054692472,
                0.9999038975850012,
                0.9999967112521109,
                0.9999687980849095,
                0.9999910603015649,
                0.9999930377462403,
                0.9999810748585286,
                0.999954602115151,
                0.9999930377404305,
                0.9999921107392954
            ],
            [
                0.9999885212332431,
                0.999998629042303,
                0.9999962733616045,
                0.9999852610145146,
                0.9999962733616043,
                0.9992903295355962,
                0.9999987901337395,
                0.9999921107402363,
                0.9999945777810304,
                0.999704042935354
            ],
            [
                0.9999810748585312,
                0.99999862904312,
                0.9999962733602717,
                0.9999938558232011,
                0.9995121428222395,
                0.9999967112493664,
                0.9999967112493665,
                0.9999687980923492,
                0.9999987901344607,
                0.9999957771675624
            ],
            [
                0.9999724643089054,
                0.9999810748585277,
                0.9999485577802343,
                0.9999724643154672,
                0.9999785550541526,
                0.9999785550490328,
                0.9994472214531835,
                0.9999885212277699,
                0.9999810748495038,
                0.9999785550592568
            ],
            [
                0.9999417087275172,
                0.9999756997679652,
                2.1444958640087166e-05,
                6.144174601879434e-06,
                0.9999952149060757,
                0.9968273171273243,
                4.5397874046655906e-05,
                0.9999546021367736,
                0.999876605469328,
                0.9999646437535026
            ],
            [
                0.9933071492893214,
                0.9992903294494058,
                0.9978172831165255,
                0.999891103064765,
                0.9992903296186081,
                0.999925153746002,
                4.785093353874907e-06,
                0.9999869928653372,
                0.9998601778591687,
                0.9999151889384297
            ],
            [
                0.9999921107355343,
                0.9999938558239333,
                0.999964643732433,
                0.9997965730265855,
                0.9999485577618096,
                0.9998911030517628,
                0.9997388096285806,
                1.300713156582635e-05,
                0.9998766054250515,
                0.9999967112505425
            ],
            [
                0.9999930377462403,
                0.9999921107336527,
                0.9999938558239335,
                0.9999945777823231,
                0.9999945777829697,
                0.9999967112521109,
                0.9999832985761661,
                0.9999810748427408,
                0.9999938558246657,
                0.9997388097843127
            ],
            [
                0.9999810748449914,
                0.9999938558261308,
                0.9999952149055052,
                0.9996646500100201,
                0.999997438716568,
                0.9924227582874243,
                0.9999962733607158,
                0.9999785550464741,
                0.999954602115126,
                0.9999938558239333
            ],
            [
                0.9999921107383549,
                0.9999910602994331,
                0.9999485577802131,
                0.9999921107402358,
                0.9999339478395777,
                0.9998766053809025,
                0.999986992876188,
                0.9999930377445804,
                0.9999810748540153,
                0.9999724643056213
            ],
            [
                0.9999938558224684,
                0.9999952149060758,
                0.9999986290426297,
                0.9999921107392957,
                0.999997438717484,
                0.9999852610145165,
                0.9999967112497585,
                0.9999952149066461,
                0.9999967112509349,
                0.9999977396765105
            ],
            [
                8.481108154418716e-05,
                0.999088948873628,
                0.9997388096594276,
                0.9998204720339496,
                0.9998415637078139,
                0.999903897619401,
                0.9998415638020107,
                0.9999599362887435,
                0.9991959141430318,
                0.9992903296183604
            ],
            [
                0.9998415637453423,
                0.9999151889789512,
                0.9998766053662896,
                0.9999832985781628,
                4.006369212106443e-05,
                0.9999151889890594,
                0.9999151889687937,
                0.9997040429003505,
                0.999941708713636,
                0.9997388095969889
            ],
            [
                0.9999938558261304,
                0.9996200155150629,
                0.999964643732436,
                0.9999151889890107,
                0.9999810748472484,
                0.977022630759019,
                0.9999724643121858,
                0.9997694933669528,
                0.9999599362982748,
                0.9890130591100407
            ],
            [
                0.9999756997534754,
                0.9999984465024306,
                0.9999921107383563,
                0.9999962733620487,
                0.9999938558224687,
                0.9999724642957742,
                0.9999339478238608,
                0.9999962733616043,
                0.9999885212346119,
                0.9999970976890529
            ],
            [
                0.999941708741448,
                0.9997388097216687,
                0.9999910603026305,
                0.9999646437324317,
                0.9890130583206835,
                0.9992903294531208,
                0.9998766053663058,
                0.9998601778925937,
                0.9978172839258476,
                0.9999038975851193
            ],
            [
                7.338207180864763e-07,
                2.2603234894745224e-06,
                6.962253759157502e-06,
                3.288748673295719e-06,
                5.422220908925639e-06,
                1.55349775456958e-06,
                3.726638839806038e-06,
                2.260325375634003e-06,
                3.288749849477628e-06,
                9.422450431989127e-07
            ],
            [
                0.9998204720126225,
                0.9999546021368129,
                0.9999646437619502,
                0.9999251537906257,
                0.9997040429357845,
                0.9999756997534821,
                0.9997694932576776,
                0.9999038975622012,
                0.9994472213218496,
                0.9999151889789345
            ],
            [
                0.999841563803788,
                0.999933947871222,
                0.9999417087136605,
                0.9999756997592842,
                0.9999038975621508,
                0.9999756997592744,
                0.9999646437535129,
                0.9999810748585286,
                0.9995121429418462,
                0.9999038975736242
            ],
            [
                0.9994472212548321,
                0.9999251537549172,
                0.9995694428609079,
                0.9999646437577183,
                0.9998911030907974,
                0.9998415638209155,
                0.9999339478553727,
                0.9988304894575255,
                0.999959936322143,
                0.9968273179034415
            ],
            [
                6.962257079465052e-06,
                4.7850939242083995e-06,
                4.222831934352267e-06,
                2.260324567302214e-06,
                2.561282210701601e-06,
                1.7603430034743913e-06,
                4.222833947932061e-06,
                2.260325375677174e-06,
                8.31528424162821e-07,
                1.5534979397677313e-06
            ],
            [
                0.9997694932572485,
                0.9999885212264016,
                0.9999930377420908,
                0.9999251537638378,
                0.999994577782323,
                0.9999832985801492,
                0.9998911030777563,
                0.999993037740431,
                0.9999852610145143,
                0.9999546021313669
            ],
            [
                2.9023116391675407e-06,
                2.2603237589779086e-06,
                6.9622595694023114e-06,
                6.475946437996402e-07,
                3.7266397283231055e-06,
                8.31527928532683e-07,
                1.553497384196656e-06,
                4.7850939242083995e-06,
                9.422448185478557e-07,
                1.3709576971425944e-06
            ],
            [
                0.9999687980960746,
                0.9999930377462407,
                0.9998204720980326,
                0.9999974387180947,
                0.9995694430126288,
                0.9999885212277702,
                0.999968798092365,
                0.9999485577986111,
                0.9999546021475986,
                0.9999724642957716
            ],
            [
                0.9999930377420908,
                0.9999038975737402,
                0.999993855823201,
                0.9947798736100226,
                0.9999898700126437,
                0.9999038975735467,
                0.9999251537549172,
                0.9999417087414243,
                0.999769493174852,
                0.9990889489893404
            ],
            [
                0.9999885212318746,
                0.9999810748495038,
                0.9998911030517992,
                0.9997388097217372,
                0.999988521233243,
                0.9999852610162715,
                0.9924227600907957,
                0.9999869928668851,
                0.9999599363078321,
                0.9999910602994333
            ],
            [
                0.9999967112517189,
                0.999995777165549,
                0.9999952149060765,
                0.999978555059262,
                0.9999962733598289,
                0.9999417087137005,
                0.9999832985821424,
                0.9999945777790913,
                0.9999967112505427,
                0.9999910603047638
            ],
            [
                0.9999339478553145,
                0.9997388096908217,
                0.9999724643089007,
                0.9998415637075534,
                0.9999832985701917,
                0.9991959140460851,
                0.9999151889283684,
                0.9989677690405532,
                0.9999646437366446,
                0.9999251537816561
            ],
            [
                0.9999869928746379,
                0.9999785550567016,
                0.9999756997592695,
                0.9999980052693274,
                0.9999957771650453,
                0.999994577780384,
                0.9999646437619449,
                0.9999869928668902,
                0.9999724643187513,
                0.9999910603015656
            ],
            [
                0.9999982396561571,
                0.9999898700066062,
                0.9999910603068932,
                0.9999852610215458,
                0.9999967112509348,
                0.9999938558239334,
                0.9999991684718732,
                0.999992110736474,
                0.9999921107345933,
                0.9999885212264011
            ],
            [
                0.9999938558253981,
                0.9999930377412606,
                0.9999921107336528,
                0.9999869928699864,
                0.9999785550413652,
                0.9999687980997889,
                0.9998766053662735,
                0.9999952149066461,
                0.9998911030777808,
                0.9999898700090202
            ],
            [
                0.9999962733602719,
                0.9999885212264031,
                0.9999417087275028,
                0.9999832985781563,
                0.9999921107374147,
                0.9999832985701931,
                0.999903897607966,
                0.9999921107383553,
                0.9999756997592719,
                0.999998005269803
            ],
            [
                0.9999251537906008,
                0.9999974387187053,
                0.999991060305828,
                0.9999952149066461,
                0.9999687980960685,
                0.9999938558253981,
                0.9999957771655488,
                0.999994577782323,
                0.999997438716568,
                0.9999852610180282
            ],
            [
                8.315281267834927e-07,
                4.785096776303374e-06,
                2.2603245673155757e-06,
                2.9023133690637e-06,
                1.3007123811797321e-05,
                2.6995777745711594e-07,
                4.222831934052698e-06,
                3.2887506320741766e-06,
                2.260323758923431e-06,
                5.422217676925328e-06
            ],
            [
                0.9994472214572999,
                3.726639728348526e-06,
                0.9740426400236378,
                0.9149009561531424,
                0.00010889689573290682,
                0.9991959140473479,
                0.9998911030648022,
                0.9991959142491913,
                0.999925153745984,
                0.9980732653407022
            ],
            [
                0.9999938558275955,
                0.9999980052707541,
                0.9999930377404306,
                0.9999952149060757,
                0.9999910603026316,
                0.9999945777829694,
                0.9999982396563671,
                0.9999977396757022,
                0.9999485577924884,
                0.9999832985741745
            ],
            [
                0.9999756997621647,
                0.9996646499698518,
                0.9999339478632105,
                0.9995121427647069,
                0.9999339478395968,
                0.9999485577740902,
                0.9994472212530311,
                0.9999417087136441,
                0.9998601779592466,
                0.9999251537727409
            ],
            [
                0.9999898700126431,
                0.9999546021313623,
                0.999975699759271,
                0.9999869928653333,
                0.9999687980811879,
                0.9999832985761651,
                0.999964643732439,
                0.9999687980849061,
                0.9999938558261311,
                0.9999930377404314
            ],
            [
                0.9999885212318746,
                0.9999898700041899,
                0.9998415637076041,
                0.9999832985741748,
                0.9999930377412604,
                0.9995694429613496,
                0.9999930377412608,
                0.9999957771670589,
                0.9999810748585277,
                0.9997388097531315
            ],
            [
                0.24508501864634827,
                0.9669140210154116,
                5.144219522247965e-05,
                0.9995694430120777,
                0.9982992779233896,
                4.222831934321543e-06,
                1.5534975693869924e-06,
                4.785093924251918e-06,
                0.9995694428579645,
                8.939693106873817e-06
            ],
            [
                0.9993736658216329,
                0.9982992772877362,
                0.9998204720553105,
                0.999933947878971,
                0.9999832985761657,
                0.9999038975621116,
                0.9999417087136441,
                0.9997965730264612,
                8.48110208951453e-05,
                0.9999599362887198
            ],
            [
                0.9999852610145151,
                0.9968273168187919,
                3.5356259125502595e-05,
                0.9997388096910954,
                0.9968273170124531,
                0.999841563745393,
                0.98593637019325,
                0.9999756997534762,
                0.9989677690385125,
                0.9988304897231133
            ],
            [
                0.9980732657591138,
                0.9999485577924947,
                3.120190018524592e-05,
                0.9984988177594913,
                0.9999339478632058,
                5.144223204149862e-05,
                0.9993736659012061,
                0.9999756997621647,
                1.994729008105057e-06,
                0.9996200155601777
            ],
            [
                0.9999151889687332,
                0.9999810748562717,
                0.9999910603026309,
                0.9999930377420906,
                0.9996200155186779,
                0.9999852610110006,
                0.9999970976873229,
                0.9999938558275954,
                0.9999885212291378,
                0.9999957771655487
            ],
            [
                0.9997040427604572,
                0.9999832985801468,
                0.9959298630523535,
                0.9999417087136402,
                0.9999599363030408,
                0.00020342697185178033,
                0.9999910603068932,
                0.9999832985801625,
                0.9995121427632025,
                0.9999810748540158
            ],
            [
                0.9999952149055054,
                0.9999945777829696,
                0.9999945777784449,
                0.9999967112509347,
                0.9999970976880149,
                0.9999967112517187,
                0.9999984465022455,
                0.9999984465020603,
                0.9999989322975119,
                0.999993855826131
            ],
            [
                2.260324028404236e-06,
                3.7266406165827946e-06,
                2.561283431986506e-06,
                6.144173869446876e-06,
                4.785096205830278e-06,
                1.2098659719757836e-06,
                4.222834451355964e-06,
                8.31528424146183e-07,
                1.3709578605617394e-06,
                1.0677029973158649e-06
            ],
            [
                0.9999898700053974,
                0.9999485577679615,
                0.9999832985761646,
                0.9999810748427365,
                0.9999852610110006,
                0.9999977396746244,
                0.9999869928715365,
                0.9999967112501504,
                0.9999785550515873,
                0.9999724643089025
            ],
            [
                0.9999962733602717,
                0.9999945777823231,
                0.9999151889485385,
                0.9999957771680659,
                0.9999962733602716,
                0.9999930377462402,
                0.9982992779038219,
                0.9999898700078128,
                0.9999724643121888,
                0.9999756997679586
            ],
            [
                0.9999898700102277,
                0.999988521234612,
                0.9999970976890528,
                0.9999832985701952,
                0.9999898700041907,
                0.9998766053664029,
                6.144173869446876e-06,
                0.9994472214525726,
                0.9999938558224682,
                0.9999869928668851
            ],
            [
                0.9993736658952308,
                0.9993736658201027,
                0.9999646437535097,
                0.9999756997650734,
                0.9999687980886298,
                0.9990889486515812,
                2.902310947208574e-06,
                0.9982992776864031,
                0.9706877661217682,
                1.8925145980732218e-05
            ],
            [
                0.999948557798623,
                0.9994472213206277,
                0.9999546021205351,
                0.9999945777829694,
                0.9999756997650704,
                0.9999885212318746,
                0.9999852610145148,
                0.9999869928684351,
                0.9999810748495063,
                0.9999910602994336
            ],
            [
                6.475947982022763e-07,
                2.260323758939877e-06,
                3.2887490652810324e-06,
                3.4663278639738526e-07,
                1.0677027427525368e-06,
                3.0590226339137693e-07,
                5.715004470272272e-07,
                5.043472278299047e-07,
                1.2098661162023305e-06,
                1.5534983101393749e-06
            ],
            [
                0.9999785550567016,
                0.9998601778758892,
                0.9999898700041899,
                0.9999898700053977,
                0.9999938558239333,
                0.9999885212291383,
                0.9999485577679615,
                0.9999339478395968,
                0.9999785550413615,
                2.4300252316291068e-05
            ],
            [
                0.9999339478710932,
                0.9999832985781574,
                0.9998204719912301,
                0.9998766054692472,
                0.999972464302337,
                0.9999724643154672,
                0.9999646437408605,
                0.999948557767984,
                0.9999038975850487,
                0.9999687980886276
            ],
            [
                0.9999417087414243,
                0.9999785550439172,
                0.999991060306893,
                0.9999852610145165,
                0.9999952149043646,
                0.999933947878961,
                0.9999930377412614,
                0.9999938558253981,
                0.9999646437324458,
                0.9999952149072164
            ],
            [
                0.9998766054398187,
                0.9999852610145158,
                0.9999546021097124,
                0.9999945777784448,
                0.9999938558239333,
                0.9999646437492865,
                0.9999970976880149,
                0.9998415637264352,
                0.9999921107355335,
                0.9999957771675623
            ],
            [
                0.9999930377404306,
                0.999995777164542,
                0.9999485577679615,
                0.9994472213191483,
                0.9999921107336525,
                0.9999869928761876,
                0.9999038975964829,
                0.9997965730272722,
                0.9999898700114368,
                0.9999785550541448
            ],
            [
                1.0677027427569065e-06,
                5.422217030495909e-06,
                2.902313023039776e-06,
                4.785096205830278e-06,
                2.260324297853209e-06,
                1.5534981249574276e-06,
                2.561283432005142e-06,
                6.475945666009864e-07,
                9.422443692555439e-07,
                4.785093353739995e-06
            ],
            [
                0.9997040428652609,
                0.9999646437408665,
                0.9998911031166554,
                0.998967768797105,
                0.9998204720765436,
                0.9996646499302397,
                0.999195914236845,
                0.9953904273804852,
                0.9940889322081711,
                0.9995694428593297
            ],
            [
                0.9999687980923492,
                0.9999417087206002,
                0.9999546021259421,
                0.999972464299064,
                0.9999756997650606,
                0.9999885212359807,
                0.9999898700066056,
                0.9995694428597932,
                0.9999945777797374,
                0.9999599363030465
            ],
            [
                0.9999785550541426,
                0.999972464312183,
                0.9997694932574094,
                0.9999898700053976,
                0.9999785550413666,
                0.9999962733607158,
                0.9999852610110004,
                0.9999930377420903,
                0.9999885212305064,
                0.9999869928746369
            ],
            [
                0.9999869928746377,
                0.9999967112493664,
                0.9999869928746377,
                0.99999862904312,
                0.9999485577924947,
                0.9999646437324408,
                0.9999938558239332,
                0.9997388097215321,
                0.9999724643154663,
                0.9940889306293345
            ],
            [
                0.9997694931755629,
                0.9999898700041902,
                0.9999599363173639,
                0.9999974387184,
                0.9999852610162717,
                0.9999785550567011,
                0.9999832985841293,
                0.9999599363078128,
                0.9999785550567057,
                0.999975699756372
            ],
            [
                0.9999724642957784,
                0.9999984465022455,
                0.9999832985841282,
                0.9999869928730863,
                0.9999038975621306,
                0.9999930377462407,
                0.9999646437450763,
                0.9998601779760731,
                0.9999974387171787,
                0.9999869928653331
            ],
            [
                0.9999885212277704,
                0.9999970976876689,
                0.9999938558239334,
                0.9999832985741766,
                0.9999945777829695,
                0.9999952149032239,
                0.9999930377437504,
                0.9999832985721853,
                0.9997388095970496,
                0.999991060304762
            ],
            [
                0.9999910603004994,
                0.9999038975736655,
                0.9999910602994346,
                0.9999952149055052,
                0.999972464302337,
                0.9999810748495074,
                0.9999952149049355,
                0.9999417087553203,
                0.9995694429108846,
                0.9999852610232993
            ],
            [
                0.99998987000419,
                0.9998204720552792,
                0.9999724642990595,
                0.9998766054546381,
                0.9999910603047625,
                0.9999986290426298,
                0.9999910603068932,
                0.9999921107336535,
                0.9999945777823233,
                0.9999687980849209
            ],
            [
                0.99997246431547,
                0.9999945777784447,
                0.9999898700090206,
                0.999996273360716,
                0.9999945777810302,
                0.9947798753220525,
                0.9999952149043645,
                0.9999945777790913,
                0.9999785550592614,
                0.9999952149037941
            ],
            [
                0.9999646437619387,
                0.9740426399294492,
                0.999975699767968,
                0.9984988176978934,
                0.9999251537549613,
                0.9998911030907593,
                0.9999151889384222,
                0.9971990732930051,
                0.9999485577618392,
                0.9999417087066693
            ],
            [
                0.9993736658250942,
                0.999569442964218,
                1.4738978455325741e-05,
                0.9959298630768921,
                0.9995121427639122,
                0.9999869928715357,
                0.9971990726322849,
                0.997527376649259,
                1.0129987356541108e-05,
                0.9999038975621907
            ],
            [
                0.9999724643154692,
                0.9999038975965325,
                0.9999869928699862,
                0.9997040429709516,
                0.9999974387184,
                0.9995121427644797,
                0.9999038975964829,
                0.9999417087344614,
                0.9999646437492894,
                0.9994472213858766
            ],
            [
                0.9999938558253983,
                0.9999724643056221,
                0.9998415637832303,
                0.9999930377437503,
                0.9999646437324375,
                0.9999898700114356,
                0.9999756997505882,
                0.9999952149072165,
                0.9999687980960746,
                0.9999810748449911
            ],
            [
                0.9999898700090206,
                0.9999952149066461,
                0.9999921107383548,
                0.9999038975850487,
                0.9999977396759716,
                0.9999930377462402,
                0.9999832985801475,
                0.9999910602994334,
                0.999993855826863,
                0.9999921107383548
            ],
            [
                0.9999885212359795,
                0.9999869928653333,
                0.9999852610197852,
                0.999981074849503,
                0.9999724643187523,
                0.9999832985721876,
                0.9996200155143443,
                0.9999417087066731,
                0.9999938558224682,
                0.9999945777790911
            ],
            [
                1.9947290081286418e-06,
                6.475947982002148e-07,
                4.450848927650143e-07,
                1.3709567165530083e-06,
                9.422447062202052e-07,
                1.2098661161982042e-06,
                7.338209805200689e-07,
                1.0677026154730804e-06,
                8.315282259051341e-07,
                1.5534975693869924e-06
            ],
            [
                0.9997965730994314,
                0.9999885212346117,
                0.9999151889385179,
                0.9999832985721844,
                0.9999687980997901,
                0.999925153737113,
                0.9997040427592259,
                0.9999485577863929,
                0.9999910602994334,
                0.9986749775313346
            ],
            [
                0.9999982396572064,
                0.9999967112513266,
                0.999915188978871,
                0.999988521229138,
                0.999996273360716,
                0.9999974387177893,
                0.9999756997505781,
                0.9999546021097124,
                0.999993855826863,
                0.9999987901340279
            ],
            [
                0.999903897596464,
                0.9999970976887069,
                0.9999756997505774,
                0.9999599363173749,
                0.9999910603047633,
                0.9999599363173673,
                0.9999485577679742,
                0.9999898700102279,
                0.999933947863225,
                0.999891103103726
            ],
            [
                0.9999339478396017,
                0.9999962733598274,
                0.9999967112505425,
                0.9999832985761651,
                0.9999251537906645,
                0.9999832985801475,
                0.9999546021259605,
                0.999876605469328,
                0.9999921107383549,
                0.999975699767961
            ],
            [
                8.481104106212545e-05,
                0.9999977396748938,
                0.9999945777829694,
                0.9999974387165679,
                0.999993855826131,
                0.9999898700102277,
                0.999983298578157,
                0.9999810748449911,
                0.9999885212277704,
                0.00015843619767583143
            ],
            [
                0.9998415638398226,
                0.9999756997650613,
                0.9999785550413632,
                0.9989677690478758,
                0.999876605410331,
                0.9999485577986424,
                0.9999687980997877,
                0.999975699756372,
                0.9999724643056241,
                0.999915188958662
            ],
            [
                0.9999832985821381,
                0.9971990728891594,
                4.539787945792856e-05,
                0.9999251537549112,
                0.9999417087206214,
                0.9999599363173656,
                4.78509563555309e-06,
                0.9999151889182126,
                0.9986749775390371,
                0.9999417087483837
            ],
            [
                0.9999938558239333,
                0.9998415638212313,
                0.9999251537906257,
                0.9999869928715357,
                0.999769493202693,
                0.9999852610197864,
                0.999860177859246,
                0.9999599362887088,
                0.9999832985721836,
                0.9999898700053983
            ],
            [
                0.9999339478710692,
                0.9999910603026303,
                0.999991060302631,
                0.9999756997679594,
                0.9999945777823233,
                0.9998415638398226,
                0.999978555046477,
                0.9999898700102277,
                0.9999785550439179,
                0.9999646437450891
            ],
            [
                0.9998415637453423,
                0.9993736659698125,
                0.9997694931749592,
                0.9999485577925007,
                0.9999646437366521,
                0.9998911030778315,
                0.9998601779760731,
                0.9999646437535039,
                0.9999339478238224,
                0.9999599363221412
            ],
            [
                0.9999898700078126,
                0.9999952149037942,
                0.999964643732436,
                0.9999885212318754,
                0.999995214904935,
                0.9999869928730869,
                0.9999945777810303,
                0.9999945777816767,
                0.9994472214503537,
                0.9999756997650613
            ],
            [
                0.99998987000419,
                0.9999974387168733,
                0.9999910602994335,
                0.9999970976890528,
                0.9999852610110015,
                0.9999977396759716,
                0.9999957771675624,
                0.9999977396746244,
                0.9999962733616045,
                0.9998415637641479
            ],
            [
                0.9999967112517187,
                0.9999852610232993,
                0.9999967112501505,
                0.9999945777784448,
                0.9999991684718733,
                0.9999982396561571,
                0.9999987901337396,
                0.9999962733593831,
                0.9999852610110006,
                0.9999910603036963
            ],
            [
                0.999948557798626,
                0.9999646437619537,
                0.9999952149037941,
                0.99992515377279,
                0.9999952149043645,
                0.9999885212346126,
                0.9999724642990537,
                0.9999898700053984,
                0.9999921107336526,
                0.9999930377420905
            ],
            [
                0.9999921107345933,
                0.9999921107392955,
                0.9999852610162724,
                0.9999852610110015,
                0.9933071491809704,
                0.9999417087483646,
                0.9999646437493142,
                0.9999930377437504,
                0.9999930377454102,
                0.9999646437492923
            ],
            [
                0.9999724642957772,
                0.9999724642990556,
                0.9999962733620488,
                0.9999957771665557,
                0.9999962733598275,
                0.9999921107383547,
                0.9999151889183441,
                0.9999756997621669,
                0.9999952149037941,
                0.9999967112497589
            ],
            [
                0.9999646437366521,
                0.9999599362982671,
                0.9998601778759707,
                0.9999339478553674,
                0.9999930377454102,
                0.9998766053958816,
                0.9940889307442585,
                0.9999151889687629,
                0.9999485577863421,
                0.999876605454541
            ],
            [
                0.9992903297102886,
                0.9999251537727775,
                0.9999038975964549,
                0.9998415638210446,
                0.9998766054692634,
                0.9999546021313623,
                0.9999832985761644,
                0.9999646437450735,
                0.9997694933123941,
                0.9998204719482471
            ],
            [
                0.9999646437619342,
                0.9999974387168732,
                0.9999646437324375,
                0.9999785550439168,
                0.9999646437324302,
                0.9999546021421896,
                0.9999687980737659,
                3.726640172503764e-06,
                0.9999962733598274,
                0.9999910603026306
            ]
        ]
    },
    {
        "q_id": "10744_mmlu_computer science",
        "cot_ids": [
            1,
            5,
            6,
            9,
            11,
            12,
            14,
            15,
            16,
            18,
            23,
            24,
            28,
            29,
            31,
            32,
            34,
            41,
            42,
            44,
            46,
            49,
            50,
            51,
            55,
            56,
            59,
            61,
            64,
            65,
            66,
            70,
            72,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            83,
            84,
            86,
            90,
            91,
            92,
            94,
            96,
            97,
            98,
            100,
            104,
            106,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            117,
            119,
            124,
            127
        ],
        "rewards": [
            [
                7.484623611811155e-05,
                0.00015843625214044288,
                7.48462536886981e-05,
                2.7535694370357833e-05,
                2.430023493052066e-05,
                2.7535687805818776e-05,
                6.605217592003159e-05,
                4.539786857031521e-05,
                1.3007134663521234e-05,
                0.0008040860096603347
            ],
            [
                3.120190019330501e-05,
                0.000295957022219943,
                6.60521286174595e-05,
                3.535624219978455e-05,
                9.610239169833504e-05,
                0.00012339452949061547,
                7.88926352407059e-06,
                2.7535704217219437e-05,
                1.0129992185060374e-05,
                5.1442195174572826e-05
            ],
            [
                0.9999724643187686,
                0.9999599363079285,
                0.999983298580164,
                0.9999785550439729,
                0.9840936061014334,
                0.6791786926816161,
                0.22270012850745965,
                0.9998601779448919,
                0.8670357598021707,
                0.9324533074525657
            ],
            [
                3.7266383954560706e-06,
                8.939700566143004e-06,
                2.430024362791279e-05,
                7.338213304196583e-07,
                4.785093923982095e-06,
                1.0129995808418327e-05,
                1.012998735687278e-05,
                2.430024362791279e-05,
                9.610239199338466e-05,
                4.222834449921489e-06
            ],
            [
                6.962257078819179e-06,
                1.300713466420736e-05,
                6.962254589332388e-06,
                1.7603425837062577e-06,
                6.962257076830902e-06,
                2.1444943297072005e-05,
                3.535625912717466e-05,
                8.939700565996655e-06,
                5.422219615582823e-06,
                4.785094494185095e-06
            ],
            [
                5.82912516276695e-05,
                4.539787944042276e-05,
                0.00023050674264424667,
                8.481101097331865e-05,
                8.939693105662367e-06,
                2.4300234929636645e-05,
                5.1442219768738885e-05,
                0.0006263340928550339,
                1.4738985482351282e-05,
                0.022977367693815594
            ],
            [
                0.9999810748472702,
                NaN,
                0.9999885212332451,
                0.7057850216484838,
                0.9999980052700437,
                0.8933094159957173,
                0.999993855827597,
                0.9999756997650822,
                0.9999970976876691,
                0.9999957771680665
            ],
            [
                0.9997694931753348,
                0.9999980052698033,
                0.9998204719712562,
                0.9999989322975122,
                0.999972464309488,
                0.9999038975393901,
                0.9579122722345713,
                0.8933093982432729,
                0.9999546021205791,
                0.9999832985841427
            ],
            [
                6.14417386791016e-06,
                0.0001584361961774613,
                6.14417679836736e-06,
                5.829125853074485e-05,
                3.288748673035494e-06,
                2.5612819051373276e-06,
                4.222832436955956e-06,
                4.222831933564939e-06,
                2.902311638596061e-06,
                5.829125845864784e-05
            ],
            [
                4.785096775580942e-06,
                6.144173128330564e-06,
                1.994729721436347e-06,
                3.1201918807538294e-05,
                3.726637951079042e-06,
                4.006370171458602e-05,
                1.4738980208864656e-05,
                7.889265406151004e-06,
                2.260324028351814e-06,
                3.726640616748873e-06
            ],
            [
                2.260323758806253e-06,
                2.5612822104977725e-06,
                2.4300237797030833e-05,
                1.4738983725809062e-05,
                2.4300234914166368e-05,
                6.144175326472029e-06,
                7.889265404959923e-06,
                5.422221554581283e-06,
                1.6701421842566163e-05,
                2.1444948412137308e-05
            ],
            [
                2.4300252310279753e-05,
                1.1478764016780948e-05,
                1.8925143718318983e-05,
                5.422221553368145e-06,
                5.144220742112766e-05,
                2.144494840289258e-05,
                8.93969842784439e-06,
                7.889263523869684e-06,
                3.120190390775116e-05,
                4.222833444037741e-06
            ],
            [
                0.00015843628628946647,
                1.994729007841999e-06,
                1.2098656826031115e-06,
                1.0129989761836128e-05,
                4.539787940243849e-05,
                1.067703124384645e-06,
                3.2887502366878052e-06,
                4.539787403691212e-05,
                1.0129992181411995e-05,
                2.7535700939406174e-05
            ],
            [
                8.315282258900085e-07,
                1.067702615417244e-06,
                3.2887494572514376e-06,
                1.0677026154473471e-06,
                4.222833947728508e-06,
                3.5356267471448335e-05,
                2.2603253754921562e-06,
                1.5534975692683091e-06,
                2.2603242977308917e-06,
                1.7603432132464244e-06
            ],
            [
                3.535626747993731e-05,
                7.889263523238269e-06,
                3.7266383953679482e-06,
                7.484625398547097e-05,
                6.1441724019276964e-06,
                2.7535687801010546e-05,
                1.670142980687079e-05,
                1.300713466420736e-05,
                1.8925145964139856e-05,
                4.222832433484029e-06
            ],
            [
                1.6701417861949427e-05,
                6.962257909007124e-06,
                1.2098659719524008e-06,
                1.0129992186939844e-05,
                1.5534983101393749e-06,
                1.3007128463352975e-05,
                8.315282259051341e-07,
                1.0129987356375273e-05,
                7.889262580791891e-06,
                2.4300246524568948e-05
            ],
            [
                8.939696303010449e-06,
                1.4738985483879434e-05,
                1.2098655392090423e-06,
                2.753568781423318e-05,
                1.1478770861859053e-05,
                1.1478768123823146e-05,
                6.144174601208867e-06,
                2.260325105911487e-06,
                0.0028009270952330367,
                3.726639283752725e-06
            ],
            [
                0.9999885212305091,
                0.999903897573785,
                0.9999962733598281,
                0.9997388097854526,
                0.9999885212291598,
                0.8175744739711883,
                0.9999756997680241,
                0.9999756997650724,
                0.9999832985801511,
                0.9988304898969083
            ],
            [
                4.006367770630122e-05,
                1.6701419849447602e-05,
                1.300712839748487e-05,
                2.9023109471188266e-06,
                2.7535697646567574e-05,
                1.4738981969240237e-05,
                8.939694170518055e-06,
                1.8925157264471508e-05,
                1.1478769487464542e-05,
                6.962259565292781e-06
            ],
            [
                0.0004305571720340423,
                4.222834954134701e-06,
                4.785096205434246e-06,
                1.4738988998117324e-05,
                2.9023130227599746e-06,
                1.994730672407252e-06,
                4.785095064148803e-06,
                6.605217604545803e-05,
                1.1478768121735194e-05,
                1.8925155002022494e-05
            ],
            [
                5.144223806166804e-05,
                0.017986210751676075,
                1.8925141455079837e-05,
                6.1441753313895225e-06,
                0.001032231150075859,
                0.00010889696096937699,
                7.484626280425489e-05,
                0.9953904280065103,
                0.014063627947195482,
                1.3007126911335805e-05
            ],
            [
                6.144172404218801e-06,
                2.9023133689924295e-06,
                1.473897670007122e-05,
                7.889261645269683e-06,
                0.999373665827426,
                6.1441746016670885e-06,
                1.7603427936183298e-06,
                4.785094494463623e-06,
                1.4738981971250963e-05,
                5.422217030362759e-06
            ],
            [
                1.1478766748656418e-05,
                5.1442207514695673e-05,
                7.889263524788109e-06,
                1.012999217687916e-05,
                1.1478769489009626e-05,
                6.144177528436518e-06,
                3.535624644864141e-05,
                3.288750239403716e-06,
                1.012999460108057e-05,
                1.0129993392600532e-05
            ],
            [
                8.481101067591067e-05,
                2.902313023039776e-06,
                1.1478766757049986e-05,
                3.7266388390502134e-06,
                4.222834954280646e-06,
                3.2887478891487563e-06,
                4.222832436871463e-06,
                6.962255416759247e-06,
                6.962253759828703e-06,
                6.144172403928222e-06
            ],
            [
                4.785093353187292e-06,
                8.9396941718352e-06,
                7.889260700462896e-06,
                2.5612819053166966e-06,
                2.902311639073834e-06,
                3.7266401720529807e-06,
                6.144176795416864e-06,
                3.535624649610246e-05,
                1.1478772230762415e-05,
                6.962253757840428e-06
            ],
            [
                0.9999832985761683,
                0.9999994284992805,
                0.9999998555019962,
                0.9999945777797374,
                0.9999967112497586,
                0.999985261023302,
                0.999996711250543,
                0.9999990577555185,
                0.9999997300421581,
                0.9999921107364743
            ],
            [
                1.9947301969471416e-06,
                2.430024939585418e-05,
                6.962259569313662e-06,
                1.4738976698006875e-05,
                9.610237962786958e-05,
                3.5356242258821454e-05,
                1.8925150492616083e-05,
                7.484621797903235e-05,
                8.481102083591052e-05,
                1.0129993391236997e-05
            ],
            [
                0.9980732649480354,
                0.9940889323832933,
                0.9986749778911919,
                0.9999485577741227,
                0.9999151889385431,
                0.9978172833680442,
                0.9984988179168888,
                0.9997040427975704,
                0.9999785550541473,
                0.9999599362887388
            ],
            [
                1.6701425805958843e-05,
                6.144175334015912e-06,
                1.14787681240737e-05,
                6.962256249606473e-06,
                5.829127227031429e-05,
                4.222834450328596e-06,
                1.0677029972833341e-06,
                1.9947290080343035e-06,
                3.1201907546714715e-05,
                4.2228319341064674e-06
            ],
            [
                6.144176066443055e-06,
                2.902313368820854e-06,
                6.96225956837018e-06,
                4.785096205077381e-06,
                2.1444943284979742e-05,
                1.3007131563507714e-05,
                7.889260703117714e-06,
                3.535626756559877e-05,
                9.610238014245843e-05,
                3.2887486731641103e-06
            ],
            [
                0.9999952149066472,
                0.9999038975625759,
                0.9986749773943855,
                0.9999980052698032,
                0.9999957771650487,
                0.9980732652435429,
                0.9999785550414049,
                0.999620015437989,
                0.9995694430153219,
                0.9999756997679633
            ],
            [
                8.939695237666677e-06,
                2.430024939965545e-05,
                1.0129995809597604e-05,
                5.422220908314139e-06,
                2.561282821106957e-06,
                3.7266401724291984e-06,
                4.222834451012227e-06,
                2.144495863614743e-05,
                3.2887494571676872e-06,
                1.1478770861859053e-05
            ],
            [
                5.829129322807287e-05,
                1.3007123809644304e-05,
                0.017986213778417026,
                0.0003353499867210429,
                4.785095634843714e-06,
                0.00170072229402916,
                0.0004878571099814573,
                8.481104116825446e-05,
                0.0002959569795355474,
                5.1442238173201186e-05
            ],
            [
                2.2603242977308917e-06,
                1.3709568798956654e-06,
                3.12019225291377e-05,
                2.5612834319655406e-06,
                6.962254589332388e-06,
                1.1478766753751021e-05,
                3.726641060956752e-06,
                3.2887486729337966e-06,
                1.553498495308628e-06,
                3.288750241374845e-06
            ],
            [
                6.962256249429175e-06,
                6.9622554171645e-06,
                6.144175332596544e-06,
                3.120191134459038e-05,
                1.3709573702111586e-06,
                2.902312330759764e-06,
                6.605216774088238e-05,
                5.043475885228353e-07,
                1.7603430032918752e-06,
                1.67014218359435e-05
            ],
            [
                4.785095635017795e-06,
                1.2098652507957165e-06,
                1.7603427935518875e-06,
                3.2887494573232236e-06,
                2.260323758882316e-06,
                4.785095635017795e-06,
                5.715004470170917e-07,
                2.5612834318583854e-06,
                2.2603242977555607e-06,
                1.5534981248528732e-06
            ],
            [
                1.2098658277082653e-06,
                2.9023130226068764e-06,
                1.9947299590810645e-06,
                3.7266392836374875e-06,
                1.2098659719524008e-06,
                3.0590222690893177e-07,
                2.9023109470871505e-06,
                1.3709578603884238e-06,
                6.144175333155351e-06,
                NaN
            ],
            [
                2.753569109454917e-05,
                7.889266346129453e-06,
                6.962256249327861e-06,
                5.829125856000775e-05,
                2.7535700934898458e-05,
                5.422217030209884e-06,
                5.829127941979426e-05,
                4.222834953804408e-06,
                6.96225624580722e-06,
                4.785092782779884e-06
            ],
            [
                7.889264461637948e-06,
                1.3007131560621253e-05,
                1.0129992177800467e-05,
                2.7535704202894907e-05,
                6.144175332887123e-06,
                6.9622562481627565e-06,
                1.8925141461620395e-05,
                3.5356254898252494e-05,
                1.3007123808532309e-05,
                4.006369216143581e-05
            ],
            [
                0.999986992874655,
                0.9999977396762411,
                0.9999785550439222,
                0.9999952149066464,
                0.9999930377462405,
                0.9999986290424664,
                0.9998415637644016,
                0.9999980052693274,
                0.9999810748472489,
                0.9999910603068933
            ],
            [
                1.5534981249023245e-06,
                6.962254589104433e-06,
                1.5534979397394734e-06,
                3.0590211751371835e-07,
                2.561283431888668e-06,
                3.7266388395111645e-06,
                2.561282821176841e-06,
                6.475950297768503e-07,
                4.4508526416286326e-07,
                6.47594643788744e-07
            ],
            [
                5.8291251550907405e-05,
                6.144177531007026e-06,
                3.726640616423495e-06,
                4.0063692183734794e-05,
                6.962259568648793e-06,
                1.0129994602057158e-05,
                0.015906393840253174,
                5.422218969463855e-06,
                1.4738976699749503e-05,
                4.222835457794923e-06
            ],
            [
                0.9999898700054018,
                0.9999546021476734,
                0.9999974387165691,
                0.0005527785311554039,
                0.9999724643155044,
                0.9999599363128399,
                0.9990889487080068,
                0.025957356397193352,
                0.985936376185147,
                0.9999993524049703
            ],
            [
                0.0003353502575767941,
                1.8925141464512013e-05,
                0.09534947132582737,
                4.0063677828144015e-05,
                0.015906391536874575,
                0.0001398221069810767,
                0.00013982206860018673,
                2.7535704207102113e-05,
                0.10669058755477132,
                0.0005527785204467371
            ],
            [
                0.00010889688232181957,
                9.610241433885192e-05,
                0.00012339461875639704,
                0.5621765008857981,
                0.0003353502206671848,
                0.06754669536304464,
                0.0028009264455683696,
                1.892515047588602e-05,
                NaN,
                0.0031726833189063505
            ],
            [
                1.4738980204575109e-05,
                3.7266410607194972e-06,
                6.144173868781898e-06,
                6.14417753110761e-06,
                2.7535697654881812e-05,
                8.93969736427282e-06,
                1.1478765385746131e-05,
                1.892515274614874e-05,
                1.0129994599624903e-05,
                5.422220261544064e-06
            ],
            [
                0.9993736657610057,
                0.999941708741448,
                0.999860177959625,
                0.9999724643023485,
                0.999569442966911,
                0.9988304894932908,
                0.9999485577618493,
                0.9992903295395589,
                0.9997694932880742,
                0.9989677691942088
            ],
            [
                4.7850950608761e-06,
                5.829128625501688e-05,
                4.222835457733473e-06,
                8.939694167314623e-06,
                2.753568777787093e-05,
                7.88926164299515e-06,
                8.939699497855469e-06,
                NaN,
                1.1478765384764794e-05,
                9.610240342690799e-05
            ],
            [
                4.222834954057889e-06,
                6.605213670529732e-05,
                2.9023109465275493e-06,
                1.0677028700053041e-06,
                2.260325375520937e-06,
                9.422450431474948e-07,
                3.726640615752405e-06,
                3.2887490653109436e-06,
                5.715003788801361e-07,
                5.144219525429276e-05
            ],
            [
                1.1478766756214804e-05,
                4.785096776251149e-06,
                6.962254588116627e-06,
                1.0677026153919963e-06,
                4.222833947359807e-06,
                5.422218967797024e-06,
                5.04347408156499e-07,
                2.753569437476538e-05,
                7.889261644760245e-06,
                2.43002320236113e-05
            ],
            [
                NaN,
                2.4300237825230942e-05,
                2.4300243623139103e-05,
                5.422218317506122e-06,
                4.539785220108096e-05,
                4.00636778475281e-05,
                5.8291251608160896e-05,
                8.93969630333567e-06,
                7.88925976126004e-06,
                3.12019076269651e-05
            ],
            [
                4.5397863201321984e-05,
                3.120190018002454e-05,
                1.553497568104083e-06,
                4.0063711199092564e-05,
                2.5612812946681295e-06,
                1.3007130011300897e-05,
                1.6701427775443088e-05,
                1.4738985483504099e-05,
                1.370956879949281e-06,
                1.3007123810306773e-05
            ],
            [
                4.5397857795336036e-05,
                1.370956879949281e-06,
                4.0063682625048554e-05,
                2.5612831263510383e-06,
                3.726641061058432e-06,
                1.8925143673705497e-05,
                8.939698432690187e-06,
                1.0129990974903845e-05,
                2.14449509695729e-05,
                1.8925157263094544e-05
            ],
            [
                3.5356259136692605e-05,
                5.144223812641715e-05,
                1.1478770860481005e-05,
                1.8925148239290237e-05,
                1.670142183934597e-05,
                1.8925148230890784e-05,
                4.785093924103951e-06,
                3.120190391558324e-05,
                7.88926258381982e-06,
                8.93969417199781e-06
            ],
            [
                6.605216035706259e-05,
                1.6701429801675944e-05,
                8.939696303010449e-06,
                NaN,
                2.4300246507772637e-05,
                1.3007125360146898e-05,
                NaN,
                1.4738981962698681e-05,
                5.829128621218275e-05,
                1.6701429793959623e-05
            ],
            [
                5.422219615395428e-06,
                4.539785225458921e-05,
                1.3007123808153756e-05,
                2.753569763394596e-05,
                4.222833947728508e-06,
                1.1478770859917257e-05,
                4.222834450505264e-06,
                1.0129989759919808e-05,
                0.00010889689585966568,
                4.006370170788174e-05
            ],
            [
                0.9990889487943672,
                0.9626731157347207,
                0.9993736658297944,
                0.5312093733737562,
                0.8519528057272543,
                0.679178699175393,
                0.9964063978120835,
                0.9999151889691299,
                0.999988521231886,
                0.9995694429124753
            ],
            [
                2.9023109465909e-06,
                2.9023112926779284e-06,
                8.939693103158165e-06,
                8.481102080505906e-05,
                2.9023116390104826e-06,
                2.1444956079842134e-05,
                3.535626756251187e-05,
                9.610241368163221e-05,
                9.422443691653483e-07,
                3.288749065077638e-06
            ],
            [
                0.9999970976883609,
                NaN,
                0.999996273361606,
                0.9999898700102293,
                0.9999785550567114,
                0.999941708741465,
                0.9997694932884699,
                NaN,
                0.9999938558232025,
                0.9999962733602717
            ],
            [
                7.889263525778283e-06,
                4.222832437386106e-06,
                8.93970056565517e-06,
                1.2098661161789477e-06,
                1.2098662604049616e-06,
                1.3709578605118645e-06,
                1.3709576970387918e-06,
                2.902311638759718e-06,
                6.47594566594213e-07,
                8.939697366793286e-06
            ],
            [
                1.06770312455264e-06,
                5.829128589919681e-05,
                1.670142979608617e-05,
                2.1444940732342966e-05,
                8.481105089263529e-05,
                2.144494328864643e-05,
                6.962254588116627e-06,
                2.26032429745131e-06,
                8.939694168810643e-06,
                1.0677026153133397e-06
            ],
            [
                3.120190015664183e-05,
                1.473898195905257e-05,
                1.0129995807165349e-05,
                3.120190763491069e-05,
                2.1444958618516124e-05,
                1.892514597632595e-05,
                3.2887494573232236e-06,
                1.0129987355785634e-05,
                5.4222176759932836e-06,
                0.0001398221060879773
            ],
            [
                3.2887494563241995e-06,
                2.699578739984626e-07,
                4.785093924251918e-06,
                3.2887478889513447e-06,
                4.7850933534310035e-06,
                1.2098652508144226e-06,
                1.7603430033799313e-06,
                2.4300232041998833e-05,
                7.88926164064169e-06,
                6.962255411338977e-06
            ],
            [
                5.144219519403497e-05,
                3.5356242262551455e-05,
                2.753569765908901e-05,
                0.012431652351032697,
                1.6701415855859424e-05,
                8.939695236398313e-06,
                4.539787933836066e-05,
                6.144173866379033e-06,
                0.14804719427274568,
                1.892515048449202e-05
            ],
            [
                2.2603248365960415e-06,
                8.939694172420599e-06,
                4.222832941111319e-06,
                3.288747889178668e-06,
                1.0677029972920738e-06,
                1.0677029973056687e-06,
                9.422443692446175e-07,
                3.288750241500471e-06,
                5.422218969128516e-06,
                2.5612812946890944e-06
            ]
        ]
    },
    {
        "q_id": "10676_mmlu_computer science",
        "cot_ids": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            60,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            0,
            59,
            61
        ],
        "rewards": [
            [
                4.4508510499737865e-07,
                1.0677024881829577e-06,
                1.2098653950656417e-06,
                1.067702615468225e-06,
                1.3709573702647743e-06,
                5.715007195410849e-07,
                1.7603432133032607e-06,
                2.9023133690425823e-06,
                5.715006514151423e-07,
                6.962258738435319e-06
            ],
            [
                4.006368262694324e-05,
                2.260324028255194e-06,
                3.2887502414436403e-06,
                8.939700564679507e-06,
                1.760343423160973e-06,
                6.962257079553702e-06,
                1.6701419852819694e-05,
                1.1478769492893215e-05,
                2.4300249416363357e-05,
                2.4300246522270504e-05
            ],
            [
                6.47594720949123e-07,
                2.2603240283888175e-06,
                6.47594798194325e-07,
                9.422444815628016e-07,
                3.2887498494282754e-06,
                6.475946437333795e-07,
                1.8553905759969634e-07,
                5.043472879504592e-07,
                4.4508499887035535e-07,
                8.315282258680767e-07
            ],
            [
                1.994730672668496e-06,
                1.0129988562901417e-05,
                6.962257079629686e-06,
                1.5534975693792215e-06,
                6.475945666033422e-07,
                3.288749457383046e-06,
                3.288750241410738e-06,
                1.3709568799368123e-06,
                3.726639728348526e-06,
                1.3709573702647743e-06
            ],
            [
                1.2098659719232413e-06,
                1.8925143725892257e-05,
                8.315281267649641e-07,
                1.067702488159652e-06,
                1.7603432132912532e-06,
                1.7603432133032607e-06,
                6.475950297821511e-07,
                3.288749849477628e-06,
                5.715003788993679e-07,
                1.0677032518316716e-06
            ],
            [
                5.422220908634683e-06,
                3.288749457383046e-06,
                2.902313023101807e-06,
                2.902311985079115e-06,
                1.0677024881829577e-06,
                6.475947209985977e-07,
                2.561283126639892e-06,
                1.994730434847717e-06,
                8.315282258956806e-07,
                4.22283545808297e-06
            ],
            [
                7.338212429367364e-07,
                2.561282515988704e-06,
                1.7603432133136672e-06,
                3.7266388397382506e-06,
                6.96225375863827e-06,
                1.7603440525205244e-06,
                9.422448185388577e-07,
                3.7266392839425286e-06,
                8.315278293762888e-07,
                3.9278638755992735e-07
            ],
            [
                2.260325375677174e-06,
                8.315283249923769e-07,
                7.338213304283347e-07,
                1.0677032518700286e-06,
                5.715003107715166e-07,
                6.962253759828703e-06,
                1.3709572068179446e-06,
                2.2603245673279107e-06,
                3.726639728262097e-06,
                3.7266401725681614e-06
            ],
            [
                1.0677028700363782e-06,
                5.043472278255469e-07,
                1.0677027427413698e-06,
                9.422448185478557e-07,
                1.5534984953199313e-06,
                2.2603251061458426e-06,
                5.043472278195839e-07,
                8.315279285251204e-07,
                1.3709570433979422e-06,
                7.338211554725124e-07
            ],
            [
                5.4222215550004564e-06,
                3.9278605978797364e-07,
                6.475948753991907e-07,
                1.0677032518700286e-06,
                1.7603427935967163e-06,
                1.5534977545603963e-06,
                5.043475885292571e-07,
                1.5534971989992774e-06,
                6.1441746016670885e-06,
                3.726639728184142e-06
            ],
            [
                2.9023109471689794e-06,
                2.5612831265909735e-06,
                3.2887506334201674e-06,
                1.2098661161861e-06,
                8.315280276399315e-07,
                1.553498495295912e-06,
                6.475947209953583e-07,
                1.3007131561804229e-05,
                2.561281905376098e-06,
                3.7266388397382506e-06
            ],
            [
                1.067703251864202e-06,
                7.889262585441413e-06,
                5.715007195384861e-07,
                5.043473480730849e-07,
                4.785096205973894e-06,
                1.3709576971242028e-06,
                1.2098652507957165e-06,
                1.7603430034655858e-06,
                5.715003107715166e-07,
                8.315277302701984e-07
            ],
            [
                9.422444815679433e-07,
                5.715003789017068e-07,
                1.2098656834922064e-06,
                2.2603234893861252e-06,
                9.42244930862237e-07,
                5.043472879525233e-07,
                4.22283394786293e-06,
                7.338210679816025e-07,
                2.5612822107167428e-06,
                1.2098653950480359e-06
            ],
            [
                3.288749065209246e-06,
                1.2098662604247682e-06,
                7.338213304283347e-07,
                9.422449308673789e-07,
                1.370956716529941e-06,
                8.315281267649641e-07,
                1.2098653950480359e-06,
                4.4508515805199415e-07,
                7.889264465842609e-06,
                8.31528424162821e-07
            ],
            [
                8.31528424146183e-07,
                0.9999945777790912,
                7.338207180714596e-07,
                1.3007134659451795e-05,
                1.9947306726049992e-06,
                1.3709572066782945e-06,
                4.785096776251149e-06,
                2.561281294558644e-06,
                1.2098661160788147e-06,
                1.0677028700130727e-06
            ],
            [
                3.7266388398585725e-06,
                1.76034300345598e-06,
                1.0677027427413698e-06,
                1.670142183983204e-05,
                1.2098655391947376e-06,
                4.785095065045315e-06,
                8.31528126775552e-07,
                2.9023109464641985e-06,
                2.9023109471689794e-06,
                8.315280276399315e-07
            ],
            [
                8.315277302747361e-07,
                9.422450431800595e-07,
                2.5612831266608576e-06,
                1.3709578605243332e-06,
                4.222833947029514e-06,
                8.315280276546789e-07,
                3.726638395527247e-06,
                3.2887482812745586e-06,
                3.726639283901856e-06,
                7.338211554758494e-07
            ],
            [
                6.1441738691562974e-06,
                8.939699500766203e-06,
                1.0129995809763438e-05,
                1.8925157263094544e-05,
                3.7266410608720178e-06,
                1.3007128463873485e-05,
                5.422218969463855e-06,
                1.2098656834613962e-06,
                8.315282258832022e-07,
                2.561281294369958e-06
            ],
            [
                4.222832940942332e-06,
                3.288749457383046e-06,
                1.7603440526662173e-06,
                2.5612834320214477e-06,
                7.338208055579897e-07,
                3.0590229985296015e-07,
                1.7603434231241496e-06,
                2.2603242978213447e-06,
                9.422443692489024e-07,
                7.338210679695891e-07
            ],
            [
                5.715003107619008e-07,
                2.3823699518905442e-07,
                1.7603434231385591e-06,
                2.1024341622297196e-07,
                9.422445938557184e-07,
                7.889259763469998e-06,
                1.209865827698362e-06,
                1.553497384196656e-06,
                1.7603434231505666e-06,
                2.2603251062013478e-06
            ],
            [
                6.475950297971703e-07,
                6.475947209953583e-07,
                1.7603430034311638e-06,
                1.7603427936183298e-06,
                3.4663257978638593e-07,
                5.043475885634304e-07,
                1.3709575336093795e-06,
                3.288748673295719e-06,
                1.2098656834922064e-06,
                5.043474683156057e-07
            ],
            [
                1.3709568798956654e-06,
                2.144494073483943e-05,
                1.9947290081177566e-06,
                5.422221554670048e-06,
                1.0677029972833341e-06,
                9.422450431912e-07,
                0.9997965730995557,
                1.8925145980732218e-05,
                6.962258739530771e-06,
                3.288750241410738e-06
            ],
            [
                1.4738976700661033e-05,
                1.1478772229050293e-05,
                6.144173869312763e-06,
                6.475951069896949e-07,
                3.466325384661554e-07,
                4.7850956352353935e-06,
                6.605212880872268e-05,
                1.5534973840984598e-06,
                8.315282259009745e-07,
                2.902312331081799e-06
            ],
            [
                8.315280276546789e-07,
                3.288749849368453e-06,
                3.7266388397382506e-06,
                2.2603245672867952e-06,
                4.222833444506298e-06,
                1.2098656834834034e-06,
                3.7266383955611403e-06,
                4.222834954687752e-06,
                2.430024941371131e-05,
                1.5534979396984994e-06
            ],
            [
                1.209866116137134e-06,
                3.92786340734912e-07,
                2.5612828213352452e-06,
                2.561282210729555e-06,
                1.2098653950480359e-06,
                7.338212429464139e-07,
                1.7603438428188364e-06,
                1.2098652507583041e-06,
                7.338211554758494e-07,
                9.422444815628016e-07
            ],
            [
                1.2098655392354511e-06,
                1.3709570433885908e-06,
                2.2603251062147097e-06,
                1.0677024881761599e-06,
                1.9947299592570416e-06,
                2.2603251061458426e-06,
                1.2098653950551882e-06,
                4.450851580497677e-07,
                3.726638395493353e-06,
                1.9947292458603553e-06
            ],
            [
                4.222833947774596e-06,
                2.902311985079115e-06,
                1.5534981249574276e-06,
                3.9278634073625165e-07,
                1.370956716519966e-06,
                1.2098656834723998e-06,
                1.0677031245953668e-06,
                1.0677024881829577e-06,
                3.72664061681327e-06,
                1.7603430034743913e-06
            ],
            [
                1.7603427934702357e-06,
                2.561281905390075e-06,
                3.288748673319648e-06,
                9.422445938728576e-07,
                4.7850967763512445e-06,
                8.315282258900085e-07,
                6.475950297942253e-07,
                3.2887490652451393e-06,
                1.3709578605355551e-06,
                6.144173868983067e-06
            ],
            [
                8.939693106182721e-06,
                6.144173137014406e-06,
                2.561282210701601e-06,
                4.222831934286977e-06,
                4.785092783319532e-06,
                6.475946437996402e-07,
                1.3709576971379186e-06,
                1.994729483694599e-06,
                1.3709568799760888e-06,
                5.715006514105942e-07
            ],
            [
                1.7603440526806268e-06,
                8.939699499823059e-06,
                7.338213304143191e-07,
                5.715007195353674e-07,
                6.47594720987407e-07,
                7.338211554688417e-07,
                9.422447062030659e-07,
                1.7603425837606927e-06,
                3.466324971415162e-07,
                1.7603438428028262e-06
            ],
            [
                1.209865971934245e-06,
                4.785093924103951e-06,
                8.315281267800897e-07,
                4.785092782779884e-06,
                1.5534971989696065e-06,
                7.889266347248781e-06,
                2.260324028306588e-06,
                6.144176065828368e-06,
                8.315278294038928e-07,
                2.2603242978213447e-06
            ],
            [
                1.3709567165087443e-06,
                2.9023123310290063e-06,
                1.0677024881004167e-06,
                1.3709570433536782e-06,
                7.889261644760245e-06,
                5.715003107416295e-07,
                8.315280276096808e-07,
                2.5612834319655406e-06,
                1.0677031245710902e-06,
                3.2887490653647836e-06
            ],
            [
                6.47594566594213e-07,
                7.338210679816025e-07,
                1.2098658277335738e-06,
                5.715005832798517e-07,
                1.3709576971061233e-06,
                8.31528325021115e-07,
                6.475947982002148e-07,
                8.315281267834927e-07,
                4.222834954687752e-06,
                2.9023130230846496e-06
            ],
            [
                3.2887478891487563e-06,
                1.7603427935967163e-06,
                1.5534973841895917e-06,
                4.450849458179853e-07,
                2.260325375664839e-06,
                4.22283294098842e-06,
                2.260325375650449e-06,
                5.04347468318358e-07,
                1.5534981249496567e-06,
                2.902313023063532e-06
            ],
            [
                2.5612816000145246e-06,
                4.222834451254188e-06,
                5.422218323231539e-06,
                2.699578096373564e-07,
                2.902311293147782e-06,
                3.466325384661554e-07,
                0.9988304898755578,
                1.0677032518578904e-06,
                7.338208930391909e-07,
                7.338208930391909e-07
            ],
            [
                3.726639728262097e-06,
                7.338207180838067e-07,
                7.33821067986608e-07,
                1.2098659719661556e-06,
                3.9278624708775595e-07,
                1.0677026154730804e-06,
                8.315278294001114e-07,
                4.785093353739995e-06,
                5.043472879481655e-07,
                5.715005151485975e-07
            ],
            [
                4.006369695353247e-05,
                6.144175334094145e-06,
                2.5612819052374947e-06,
                2.9023133689317184e-06,
                1.7603438428564603e-06,
                3.2887478890769702e-06,
                8.31528424146183e-07,
                2.9023116388969785e-06,
                4.222833444429485e-06,
                3.2887486732000038e-06
            ],
            [
                7.338212429464139e-07,
                1.2098652508144226e-06,
                2.5612812938202033e-06,
                1.7603440526806268e-06,
                5.715007195410849e-07,
                2.9023119850527192e-06,
                1.0129994599901296e-05,
                5.715005150942809e-07,
                4.222832437677995e-06,
                4.785092783371756e-06
            ],
            [
                9.422447061876404e-07,
                1.5534984953199313e-06,
                1.0677024881829577e-06,
                4.450848927599543e-07,
                1.3709570434054234e-06,
                1.0677029973056687e-06,
                7.338207180801359e-07,
                7.33821067986608e-07,
                6.475946437966953e-07,
                6.475947209953583e-07
            ],
            [
                1.0677028700320085e-06,
                7.338210680002898e-07,
                8.315284241597959e-07,
                1.9947290080905435e-06,
                7.338213304343413e-07,
                8.315282259089153e-07,
                1.5534977545243671e-06,
                3.726638395527247e-06,
                1.0677024881829577e-06,
                6.144176799166453e-06
            ],
            [
                6.475949525919915e-07,
                1.3709573702566696e-06,
                1.0677033791495609e-06,
                6.475950297906914e-07,
                2.9023133690637e-06,
                1.3709576971242028e-06,
                1.7603425837494853e-06,
                8.3152792852928e-07,
                3.7266383955882547e-06,
                7.338207180864763e-07
            ],
            [
                0.9994472212546711,
                0.9997965730752747,
                0.9984988176978934,
                0.9996646500108106,
                0.9986749777285168,
                0.2942149659744614,
                0.9964063980563558,
                0.9984988180734137,
                0.9984988178971704,
                0.9990889487635847
            ],
            [
                1.3709572068422585e-06,
                8.939700566289352e-06,
                9.422442568951678e-07,
                7.338213304316717e-07,
                4.785096205930373e-06,
                9.422447062150634e-07,
                5.71500378896509e-07,
                7.338210679909462e-07,
                1.2098659719524008e-06,
                9.422442569208767e-07
            ],
            [
                2.9023112931688987e-06,
                1.0677029972993568e-06,
                6.962254589617333e-06,
                6.475947209985977e-07,
                5.043473480730849e-07,
                2.2603237589676295e-06,
                6.144175334239434e-06,
                8.93969310647542e-06,
                5.71500515151976e-07,
                1.7603430034439723e-06
            ],
            [
                7.889262585728421e-06,
                7.338211554758494e-07,
                3.2887490653647836e-06,
                5.715004470272272e-07,
                3.2887478891128633e-06,
                2.5612834319655406e-06,
                1.7603436329554703e-06,
                2.561282515988704e-06,
                1.2098652508056196e-06,
                6.962254589851619e-06
            ],
            [
                1.9947292458004866e-06,
                7.338208055613267e-07,
                1.5534975693792215e-06,
                2.561283431888668e-06,
                1.5534983101393749e-06,
                7.338212429420757e-07,
                2.260323758939877e-06,
                5.422217676925328e-06,
                1.067703251864202e-06,
                5.715004470243685e-07
            ],
            [
                7.338211554464836e-07,
                7.338211554591642e-07,
                9.42244818532859e-07,
                1.5534981249023245e-06,
                6.475949525981759e-07,
                6.47594566597747e-07,
                3.288748281220719e-06,
                7.889261643899223e-06,
                2.5612819053586272e-06,
                8.31528126775552e-07
            ],
            [
                9.422447062030659e-07,
                4.22283394786293e-06,
                1.2098655392662613e-06,
                5.043475885634304e-07,
                4.7850956351657615e-06,
                6.1441746017453204e-06,
                4.222834954514924e-06,
                3.2887478891487563e-06,
                6.475947209985977e-07,
                1.0677024881887838e-06
            ],
            [
                4.7850939242083995e-06,
                1.370957533676711e-06,
                4.785092783415276e-06,
                2.9023133690425823e-06,
                1.3709567164962755e-06,
                2.5612825159421147e-06,
                6.962254589851619e-06,
                3.2887498494282754e-06,
                3.7266383954560706e-06,
                2.5612825159421147e-06
            ],
            [
                5.043475284430694e-07,
                5.715003107738556e-07,
                7.338207180761315e-07,
                1.994730197090463e-06,
                2.5612831265909735e-06,
                6.475947209985977e-07,
                6.47594566597747e-07,
                1.209865827740176e-06,
                2.9023133690188264e-06,
                2.5612812947240366e-06
            ],
            [
                3.7266406168403854e-06,
                8.315284241560147e-07,
                9.42244256915735e-07,
                2.260323758923431e-06,
                1.76034300345598e-06,
                1.7603430034439723e-06,
                9.422443692446175e-07,
                7.338208930391909e-07,
                9.422449308673789e-07,
                1.3709573702566696e-06
            ],
            [
                1.3709567165386693e-06,
                7.338211554758494e-07,
                1.2098656835076114e-06,
                1.0677026154619133e-06,
                8.315279285251204e-07,
                8.315281267706361e-07,
                4.22283344433731e-06,
                2.561283126679493e-06,
                1.3709578605355551e-06,
                1.2098659719524008e-06
            ],
            [
                1.5534977545603963e-06,
                1.0677032518748838e-06,
                6.144177531599359e-06,
                6.475948753991907e-07,
                1.9947290080905435e-06,
                2.9023119851266288e-06,
                5.715003107715166e-07,
                1.9947292458603553e-06,
                4.2228329408924035e-06,
                6.475951069932288e-07
            ],
            [
                2.260323758923431e-06,
                7.338208929998139e-07,
                4.222832437639588e-06,
                2.902311292371731e-06,
                4.222831934286977e-06,
                1.2098656834481918e-06,
                3.288750241410738e-06,
                6.475946437966953e-07,
                8.315283250150648e-07,
                1.3709567164962755e-06
            ],
            [
                5.715005832762133e-07,
                8.939699500636112e-06,
                1.7603430034311638e-06,
                1.5534984953199313e-06,
                1.3709576970213355e-06,
                8.93969630317306e-06,
                6.14417606659952e-06,
                4.2228339475595195e-06,
                6.962257909501028e-06,
                2.1444958636771547e-05
            ],
            [
                1.0677024881941248e-06,
                2.5612812946890944e-06,
                6.475948753991907e-07,
                9.422443692330485e-07,
                1.0677027427413698e-06,
                6.1441753337365085e-06,
                5.715003789017068e-07,
                1.2098655392574583e-06,
                2.5612812945260317e-06,
                1.7603432133032607e-06
            ],
            [
                2.260324028351814e-06,
                2.260324028255194e-06,
                1.1478772230407462e-05,
                1.9947301970287804e-06,
                1.0677029972522599e-06,
                1.67014178590634e-05,
                9.422443691996268e-07,
                1.2098653950480359e-06,
                9.422447062094932e-07,
                2.5612834320214477e-06
            ],
            [
                1.994729245917502e-06,
                5.422220908703723e-06,
                6.144177531007026e-06,
                2.5612812947077304e-06,
                1.0677027427068966e-06,
                1.0677027427525368e-06,
                9.42244256915735e-07,
                1.2098661161789477e-06,
                4.785094494672519e-06,
                4.4508510499737865e-07
            ],
            [
                9.422445938917108e-07,
                1.067703251864202e-06,
                6.475946437966953e-07,
                1.2098659719524008e-06,
                1.0677033791495609e-06,
                4.2228349543420954e-06,
                2.902312677104321e-06,
                2.902311985079115e-06,
                1.994730434847717e-06,
                1.553498495338299e-06
            ],
            [
                0.9999724643056213,
                0.9999724643089025,
                0.9999756997592727,
                0.9999646437535129,
                0.9999869928715358,
                0.999981074844992,
                0.9999869928699867,
                0.999991060304762,
                0.9999885212318744,
                0.9999938558268632
            ],
            [
                1.7603434231505666e-06,
                1.0677032518700286e-06,
                7.338208055613267e-07,
                1.012999581021488e-05,
                1.3709568799106278e-06,
                2.9023119851266288e-06,
                1.473898197063434e-05,
                9.422445938728576e-07,
                1.2098659719661556e-06,
                6.475947209918244e-07
            ],
            [
                1.76034300345598e-06,
                3.7266383955611403e-06,
                1.2098653950480359e-06,
                6.962257079465052e-06,
                2.2603251061232293e-06,
                4.7850944943330625e-06,
                8.31528424162821e-07,
                1.370956879949281e-06,
                8.315283250305684e-07,
                5.715002426439334e-07
            ],
            [
                1.2098656835136636e-06,
                7.338212429464139e-07,
                7.338210679909462e-07,
                1.0677028700266676e-06,
                4.450851049959619e-07,
                5.71500515151976e-07,
                3.288749457432399e-06,
                1.2098659719441482e-06,
                8.31528424151477e-07,
                1.9947301970587145e-06
            ],
            [
                1.7603427935678977e-06,
                3.726639728224814e-06,
                1.760342793583908e-06,
                1.5534979397394734e-06,
                9.422443692446175e-07,
                1.2098653950403334e-06,
                9.422443692489024e-07,
                1.7603432132624344e-06,
                1.5534973839359769e-06,
                4.222833444383398e-06
            ],
            [
                1.0677024881829577e-06,
                6.962253759752719e-06,
                2.3823682479181176e-07,
                9.422449308420983e-07,
                3.9278610661822475e-07,
                1.0677026154376365e-06,
                1.5534971989696065e-06,
                8.315280276505193e-07,
                3.2887494572514376e-06,
                2.9023112931213857e-06
            ],
            [
                1.2098653950551882e-06,
                9.422442569097361e-07,
                5.04347528440776e-07,
                3.4663262110945863e-07,
                2.561282821352716e-06,
                1.994729959270648e-06,
                1.5534983101478522e-06,
                1.209865395009523e-06,
                7.338211554641698e-07,
                8.31528126775552e-07
            ],
            [
                6.47594643788744e-07,
                3.726639284017094e-06,
                1.9947301970287804e-06,
                2.2603245671490605e-06,
                2.90231163910023e-06,
                6.9622562492265485e-06,
                5.043474081785165e-07,
                1.2098658277181688e-06,
                1.209865683500459e-06,
                5.422220908634683e-06
            ],
            [
                1.5534981248133121e-06,
                2.2603248365343694e-06,
                2.5612812945260317e-06,
                4.222832941034507e-06,
                2.260325375650449e-06,
                1.994729245822257e-06,
                3.2887478889034873e-06,
                1.553498495281783e-06,
                1.9947297213746646e-06,
                0.9997040429361289
            ],
            [
                5.422217676797111e-06,
                2.902311639183378e-06,
                7.338208930315157e-07,
                1.0677028700266676e-06,
                7.889265407177056e-06,
                2.26032402841657e-06,
                5.715007195410849e-07,
                9.42244930849811e-07,
                4.450851049959619e-07,
                1.7603430033991435e-06
            ],
            [
                1.2098656834723998e-06,
                3.9278624708775595e-07,
                1.0677031245783732e-06,
                6.475946437996402e-07,
                1.7603430033991435e-06,
                1.2098662604049616e-06,
                3.288750241374845e-06,
                1.067703379136937e-06,
                7.338212429504183e-07,
                5.043475885634304e-07
            ],
            [
                3.7266379512518984e-06,
                1.9947292458603553e-06,
                1.9947297214944016e-06,
                3.7266410609160796e-06,
                1.5534981249496567e-06,
                1.9947299592407137e-06,
                7.338209805170655e-07,
                6.475945665741875e-07,
                5.715007195353674e-07,
                2.5612834320214477e-06
            ],
            [
                3.726640172503764e-06,
                1.3007126912542439e-05,
                1.892514824021969e-05,
                3.2887506334560605e-06,
                6.96225873895455e-06,
                1.892515274546026e-05,
                1.6701429806475863e-05,
                5.422217676866151e-06,
                6.9622587393661365e-06,
                1.892514597632595e-05
            ],
            [
                2.2603234894745224e-06,
                1.0677031245851707e-06,
                2.902313023039776e-06,
                3.726640172537657e-06,
                1.2098653950606901e-06,
                0.9997040428299131,
                2.5612812947077304e-06,
                4.222833947774596e-06,
                4.22283394762097e-06,
                9.42244930862237e-07
            ],
            [
                1.5534983101061718e-06,
                1.0677032518501217e-06,
                2.2603253754921562e-06,
                1.0677031245050577e-06,
                6.144176066443055e-06,
                1.3709575336654889e-06,
                1.0677033791291683e-06,
                1.209866116137134e-06,
                1.994729008105057e-06,
                2.561283431942246e-06
            ],
            [
                7.889262585211807e-06,
                3.9278610661545617e-07,
                4.450848927621807e-07,
                1.2098655392090423e-06,
                1.3709573702647743e-06,
                6.1441775312976045e-06,
                4.222831934286977e-06,
                1.0677031245783732e-06,
                1.2098653950403334e-06,
                6.475948753847607e-07
            ],
            [
                1.3709568799679844e-06,
                3.7266406167827664e-06,
                2.9023112931213857e-06,
                1.0677029973114952e-06,
                2.2603251062270446e-06,
                1.1478770860481005e-05,
                2.2603234895176927e-06,
                7.338210680002898e-07,
                1.5534981248881956e-06,
                4.7850967763512445e-06
            ],
            [
                2.5612822106654943e-06,
                3.466327863961242e-07,
                6.1441775312976045e-06,
                3.466324971415162e-07,
                1.0677029972993568e-06,
                1.3709578605617394e-06,
                1.067702615468225e-06,
                2.260324297853209e-06,
                5.04347528438253e-07,
                8.315278294001114e-07
            ],
            [
                4.222834451292594e-06,
                6.9622579092224155e-06,
                2.5612819053166966e-06,
                6.475948753741589e-07,
                1.2098658277181688e-06,
                7.338208055489796e-07,
                3.9278638755992735e-07,
                6.47594875389178e-07,
                2.5612825160271407e-06,
                4.222833444467892e-06
            ],
            [
                3.288749849368453e-06,
                3.2887478891128633e-06,
                1.9947304348332037e-06,
                1.7603436329978976e-06,
                7.889263525778283e-06,
                1.473898899908247e-05,
                2.5612822106654943e-06,
                3.2887478891128633e-06,
                8.315279285205827e-07,
                8.315282258900085e-07
            ],
            [
                1.370956716529941e-06,
                5.422218969384951e-06,
                2.5612812945260317e-06,
                8.315283250260307e-07,
                7.338207180661203e-07,
                8.315281267706361e-07,
                1.0129987356706945e-05,
                1.5534973841592143e-06,
                3.288750633025344e-06,
                2.9023133690188264e-06
            ],
            [
                6.144173135896795e-06,
                0.9999921107392955,
                3.2887490637376303e-06,
                4.785096205173126e-06,
                1.5534979397500702e-06,
                2.9023112931213857e-06,
                0.999975699753483,
                4.22283294098842e-06,
                1.7603430033991435e-06,
                1.2098653950551882e-06
            ],
            [
                2.2603234895176927e-06,
                1.3709576971316842e-06,
                6.475946437781423e-07,
                3.726637951170554e-06,
                1.3007123812317831e-05,
                1.3709573701812335e-06,
                6.962253759271479e-06,
                6.962255419570695e-06,
                8.315277302059155e-07,
                3.7266388398585725e-06
            ],
            [
                4.222834451169694e-06,
                8.315279284937352e-07,
                2.2603237589542675e-06,
                1.9947306726358406e-06,
                1.7603436329978976e-06,
                2.902310946944611e-06,
                1.2098652508287273e-06,
                1.7603430034311638e-06,
                1.209865250822125e-06,
                8.315281267706361e-07
            ],
            [
                1.370956716529941e-06,
                5.715005151574337e-07,
                6.475947981904966e-07,
                2.5612819053586272e-06,
                5.715007195410849e-07,
                9.422447062202052e-07,
                6.475945666009864e-07,
                1.3709573702722555e-06,
                8.315277302788957e-07,
                6.475947982022763e-07
            ],
            [
                1.2098659719524008e-06,
                1.209865971934245e-06,
                1.5534971989568904e-06,
                7.338207180761315e-07,
                1.0677033791495609e-06,
                3.4663270375278157e-07,
                1.5534975693792215e-06,
                9.422444815679433e-07,
                4.78509563546605e-06,
                1.3709570434054234e-06
            ],
            [
                5.715005832827105e-07,
                2.2603240281606297e-06,
                1.9947301970587145e-06,
                5.715005832853093e-07,
                1.370956716529941e-06,
                5.422218969532895e-06,
                4.450849988758202e-07,
                8.315277302747361e-07,
                1.76034300345598e-06,
                7.338210679979539e-07
            ],
            [
                0.9992903297050462,
                0.9997694931749592,
                0.999738809752721,
                0.9995121428248224,
                0.9998911031167418,
                0.9999810748495709,
                0.9996646497704347,
                0.999975699765066,
                0.9046505434556231,
                0.9997388095667575
            ],
            [
                3.927862470790036e-07,
                9.422445938728576e-07,
                1.3709572067955008e-06,
                6.475947981860793e-07,
                5.715002426343175e-07,
                3.059021904571643e-07,
                5.715006513999389e-07,
                1.0677029973056687e-06,
                1.7603432132624344e-06,
                6.475950297421001e-07
            ],
            [
                6.475947209985977e-07,
                1.7603434230312906e-06,
                1.2098653950403334e-06,
                3.05902263389638e-07,
                4.222832437639588e-06,
                4.450851580497677e-07,
                1.7603438428660665e-06,
                6.144176799099397e-06,
                6.144173869312763e-06,
                6.1441767987808774e-06
            ],
            [
                1.3709572068079696e-06,
                1.2098659719661556e-06,
                5.04347348070562e-07,
                7.889265406567165e-06,
                9.422448185264317e-07,
                1.209865683500459e-06,
                1.0677029973114952e-06,
                1.7603432133032607e-06,
                2.902312677060767e-06,
                1.3709575336860625e-06
            ],
            [
                4.4508505193791187e-07,
                9.422450431860582e-07,
                3.4663266243111764e-07,
                3.2887486729337966e-06,
                3.288750633569722e-06,
                9.422443692446175e-07,
                2.9023109471452223e-06,
                1.553498495338299e-06,
                6.144175334015912e-06,
                1.0677029973056687e-06
            ],
            [
                2.561283126679493e-06,
                1.3709568799823232e-06,
                1.0677029972993568e-06,
                1.0677031245953668e-06,
                1.553498495295912e-06,
                9.422445938964242e-07,
                3.726638395527247e-06,
                2.902313368860448e-06,
                9.422443692489024e-07,
                1.0677031245429291e-06
            ],
            [
                1.3709567165530083e-06,
                4.450849458218309e-07,
                2.2603248367512505e-06,
                1.3709573702566696e-06,
                2.9023119851266288e-06,
                2.561281599881745e-06,
                1.760344052693435e-06,
                1.3709568799760888e-06,
                2.2603242978665707e-06,
                4.7850933538313875e-06
            ],
            [
                6.962257908044647e-06,
                2.5612834319655406e-06,
                3.92786340734912e-07,
                3.2887490653408545e-06,
                7.338209805090567e-07,
                2.260324028404236e-06,
                5.715003107577426e-07,
                7.338207180801359e-07,
                9.422444815679433e-07,
                9.422449308335287e-07
            ],
            [
                2.2603242977308917e-06,
                7.338212429240558e-07,
                9.422447061953531e-07,
                5.04347528438253e-07,
                9.422445938642879e-07,
                1.3709573701812335e-06,
                1.9947292458930106e-06,
                8.315278294001114e-07,
                4.450852111135988e-07,
                8.315280276399315e-07
            ],
            [
                1.5534979397140412e-06,
                3.726641061058432e-06,
                1.2098653950551882e-06,
                9.42244256915735e-07,
                5.422217030614265e-06,
                5.043472879504592e-07,
                4.450852111135988e-07,
                1.0677029973056687e-06,
                1.0677024881941248e-06,
                4.785093353687772e-06
            ],
            [
                2.2603245673155757e-06,
                1.6701417861949427e-05,
                3.9278624708775595e-07,
                1.3709575336947905e-06,
                5.7150044702099e-07,
                1.2098658277335738e-06,
                1.2098655392811161e-06,
                9.422450431912e-07,
                1.9947301970587145e-06,
                1.7603438427660027e-06
            ],
            [
                7.338210679909462e-07,
                5.043474683009273e-07,
                7.338211554398095e-07,
                2.9023116391477434e-06,
                9.422445938964242e-07,
                3.2887494572095624e-06,
                2.2603237580312362e-06,
                5.043473480460215e-07,
                1.2098662602861223e-06,
                6.475949525516461e-07
            ],
            [
                1.370957370247318e-06,
                4.785094494576774e-06,
                6.962253759828703e-06,
                5.422218323399208e-06,
                6.962254588977791e-06,
                8.315280276580819e-07,
                7.338213304316717e-07,
                1.2098652508056196e-06,
                2.9023123311055552e-06,
                1.9947290081177566e-06
            ],
            [
                8.315280276456036e-07,
                1.3709573702778664e-06,
                4.785094494185095e-06,
                5.71500242637956e-07,
                1.0677026154774503e-06,
                2.6995777745711594e-07,
                4.450852111100568e-07,
                6.475950297868629e-07,
                1.7603434231705793e-06,
                3.2887486732358968e-06
            ],
            [
                3.466327037472645e-07,
                1.7603432132624344e-06,
                1.553497384180408e-06,
                2.260324028281919e-06,
                1.0677033790883835e-06,
                5.043472278280699e-07,
                2.2603237589542675e-06,
                3.466327037512053e-07,
                1.76034300345598e-06,
                1.067703251864202e-06
            ],
            [
                1.0677028700266676e-06,
                1.5534981249574276e-06,
                3.2887498493983645e-06,
                8.31528424146183e-07,
                4.450848927621807e-07,
                6.144172404129392e-06,
                6.144176066443055e-06,
                1.2098662604192665e-06,
                1.6701427800050252e-05,
                1.3709570433786157e-06
            ],
            [
                6.475947981975644e-07,
                1.9947306725215466e-06,
                1.3709576970824327e-06,
                6.962255419728997e-06,
                1.994730197071414e-06,
                1.5534973841895917e-06,
                1.1478770862067849e-05,
                1.370956879949281e-06,
                1.3709578605455302e-06,
                9.422447062202052e-07
            ],
            [
                4.785093353739995e-06,
                1.473897670007122e-05,
                4.22283545795623e-06,
                2.2603248367358324e-06,
                2.561282515988704e-06,
                7.889264466639056e-06,
                7.889262585728421e-06,
                8.939695237813028e-06,
                6.144175333635923e-06,
                1.5534981249397663e-06
            ],
            [
                1.5534979397140412e-06,
                5.715003107738556e-07,
                1.7603436330179102e-06,
                1.0677027427340866e-06,
                1.067703379136937e-06,
                2.2603234894745224e-06,
                1.760342583722268e-06,
                6.144172404028807e-06,
                6.962257079465052e-06,
                3.059023363231725e-07
            ],
            [
                1.209865683518615e-06,
                8.315282259009745e-07,
                1.7603438428028262e-06,
                7.338210679979539e-07,
                1.5534981249023245e-06,
                9.422447061876404e-07,
                2.9023123311055552e-06,
                1.209865539274514e-06,
                2.9023126769050284e-06,
                4.450852111120808e-07
            ],
            [
                1.1478772230407462e-05,
                4.785093353739995e-06,
                5.715005832798517e-07,
                2.9023109470554753e-06,
                2.561283432005142e-06,
                8.939693106329072e-06,
                1.994729483666479e-06,
                1.7603432132784448e-06,
                0.9999724643023389,
                1.0677029973056687e-06
            ],
            [
                8.315281267800897e-07,
                1.2098655392811161e-06,
                4.785095635017795e-06,
                8.315280276580819e-07,
                1.99472995920443e-06,
                4.785092782858221e-06,
                1.5534971989427613e-06,
                8.315278294038928e-07,
                1.3709568799823232e-06,
                1.0677027427340866e-06
            ],
            [
                1.5534977545497995e-06,
                1.370957370236096e-06,
                1.2098653950315304e-06,
                6.475946437422142e-07,
                8.315283250150648e-07,
                2.561283431250394e-06,
                1.9947290080905435e-06,
                4.785095064819011e-06,
                1.209865683500459e-06,
                2.9023109470554753e-06
            ],
            [
                7.338208930391909e-07,
                8.315278293951957e-07,
                1.2098652508144226e-06,
                1.2098658277181688e-06,
                3.2887490652810324e-06,
                1.5534971989907999e-06,
                2.6995774527657245e-07,
                7.338213304283347e-07,
                2.5612822106421996e-06,
                3.7266397283231055e-06
            ],
            [
                1.0677028700130727e-06,
                1.2098658277181688e-06,
                4.785094494672519e-06,
                1.7603430034151537e-06,
                5.4222183231674305e-06,
                1.209866116170145e-06,
                1.3709568799106278e-06,
                9.422448185388577e-07,
                5.04347227807199e-07,
                4.222831934202483e-06
            ],
            [
                1.7603434231705793e-06,
                2.9023133690188264e-06,
                4.450852641681257e-07,
                1.5534983101061718e-06,
                1.2098652508056196e-06,
                9.422445938861406e-07,
                9.422447062030659e-07,
                4.450852111120808e-07,
                1.3709568799368123e-06,
                8.315277302701984e-07
            ],
            [
                4.785096206013061e-06,
                1.0677026154730804e-06,
                5.422217676866151e-06,
                1.9947294836483373e-06,
                3.288748673295719e-06,
                1.994729483666479e-06,
                1.7603427935967163e-06,
                1.892514147046736e-05,
                5.043475885657239e-07,
                1.0677032518748838e-06
            ],
            [
                6.475948753965404e-07,
                5.715003107689177e-07,
                9.42244818532859e-07,
                2.2603242978665707e-06,
                1.7603438428188364e-06,
                1.5534975693707442e-06,
                1.9947294836483373e-06,
                4.450852641717689e-07,
                2.2603242978665707e-06,
                1.370957533676711e-06
            ],
            [
                4.222832437639588e-06,
                8.939695237162584e-06,
                1.2098656835136636e-06,
                5.715006514040971e-07,
                2.699577774579753e-07,
                5.422218969217281e-06,
                1.209865539274514e-06,
                1.2098661161861e-06,
                3.726638395527247e-06,
                3.726640172537657e-06
            ],
            [
                4.222835458117536e-06,
                5.715005151550947e-07,
                7.338210679949506e-07,
                1.7603436330091044e-06,
                6.962257909323729e-06,
                5.715003107738556e-07,
                2.9023109471188266e-06,
                1.7603427936079236e-06,
                6.475947209985977e-07,
                4.222831934202483e-06
            ],
            [
                0.9998766054397721,
                0.9999038975620929,
                0.9997388097843887,
                0.999903897562102,
                0.9995121427635432,
                0.9998766054250353,
                0.9998911031296339,
                0.9999687980849082,
                0.999447221453473,
                0.9999485577679526
            ],
            [
                1.5534983100765009e-06,
                1.0677024881761599e-06,
                4.450849458200093e-07,
                5.42221767672807e-06,
                5.043474683204221e-07,
                1.2098661161789477e-06,
                3.288750241473551e-06,
                6.1441746016670885e-06,
                1.067702742726318e-06,
                9.422444815679433e-07
            ],
            [
                3.288749065167371e-06,
                1.3709567165087443e-06,
                1.6701417859944398e-05,
                5.42221767672807e-06,
                1.6701425825492673e-05,
                1.1478765388711023e-05,
                1.5534984953298217e-06,
                7.889265406904397e-06,
                1.670141786036971e-05,
                1.147877359926923e-05
            ],
            [
                7.889260702141888e-06,
                3.726640616477725e-06,
                3.726640616670918e-06,
                7.889263525663481e-06,
                1.553497198801472e-06,
                2.260323758882316e-06,
                1.0129988563343644e-05,
                1.4738978457041559e-05,
                3.288749849060371e-06,
                1.3007123810638006e-05
            ],
            [
                8.315284241560147e-07,
                1.7603438428188364e-06,
                8.315280276505193e-07,
                1.3709568799368123e-06,
                1.0677028700203557e-06,
                8.93969736929749e-06,
                3.2887502414436403e-06,
                3.288750633545794e-06,
                5.42222090882208e-06,
                4.2228349543420954e-06
            ],
            [
                7.889264466445326e-06,
                2.9023112929973233e-06,
                1.0677033791204289e-06,
                1.370956716450141e-06,
                3.288750241473551e-06,
                1.2098658277181688e-06,
                5.043474683204221e-07,
                8.315284241083696e-07,
                1.2098661161789477e-06,
                8.315279285205827e-07
            ],
            [
                1.5534979397500702e-06,
                1.553497754476329e-06,
                7.338210679909462e-07,
                1.370957860567974e-06,
                2.902312331081799e-06,
                1.2098653949688097e-06,
                5.715003107715166e-07,
                3.2887490653109436e-06,
                1.994729245917502e-06,
                4.222833444467892e-06
            ],
            [
                4.450852641717689e-07,
                1.0677027427471959e-06,
                4.2228349546493465e-06,
                1.994730434847717e-06,
                1.3709576971061233e-06,
                6.962253759752719e-06,
                4.222834451254188e-06,
                7.338207180801359e-07,
                1.553497384196656e-06,
                1.7603436329394601e-06
            ],
            [
                2.9023109471188266e-06,
                6.144173136729416e-06,
                1.2098655392662613e-06,
                3.2887498494551953e-06,
                5.715003107738556e-07,
                3.726640172290235e-06,
                7.338213304196583e-07,
                5.04347287945184e-07,
                3.2887478891487563e-06,
                5.422218323290717e-06
            ],
            [
                2.902311639126627e-06,
                2.9023112930949896e-06,
                2.260324297853209e-06,
                4.222833444429485e-06,
                1.370957860567974e-06,
                4.222832940715735e-06,
                4.7850927830148924e-06,
                1.9947299592824403e-06,
                1.067702615468225e-06,
                1.5534979397592542e-06
            ],
            [
                3.2887498494551953e-06,
                7.33821067986608e-07,
                7.338211554688417e-07,
                1.994729483666479e-06,
                1.3709570433979422e-06,
                1.7603436330179102e-06,
                1.067703379136937e-06,
                9.422447062150634e-07,
                2.2603248367358324e-06,
                1.3709572068272963e-06
            ],
            [
                8.315278294038928e-07,
                9.422449308673789e-07,
                2.5612822106654943e-06,
                1.7603425837702984e-06,
                4.78509563550957e-06,
                1.0677029973114952e-06,
                5.715003107577426e-07,
                5.043474081957179e-07,
                6.475947209918244e-07,
                2.9023133690637e-06
            ]
        ]
    },
    {
        "q_id": "10712_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            21,
            22,
            23,
            24,
            25,
            26,
            28,
            29,
            30,
            32,
            34,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            51,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            72,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            124,
            125,
            127,
            7,
            20,
            27,
            31,
            33,
            35,
            50,
            52,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            75,
            123,
            126
        ],
        "rewards": [
            [
                8.481103104157175e-05,
                0.00012339463206574586,
                1.8925152749659986e-05,
                1.3007126912542439e-05,
                6.96225956837018e-06,
                1.1478773596847203e-05,
                5.82912863042125e-05,
                1.6701427815999337e-05,
                5.422220262333096e-06,
                2.753568780802255e-05
            ],
            [
                5.422218969463855e-06,
                1.5534973841895917e-06,
                2.1444958633416914e-05,
                0.00010889688262287185,
                2.1444950948742995e-05,
                3.5356242271040426e-05,
                9.610242617999399e-05,
                4.785093923516432e-06,
                2.7535697636951104e-05,
                1.0129987355988324e-05
            ],
            [
                0.9999417087483646,
                1.99473067264854e-06,
                2.1444956079218013e-05,
                3.726639728224814e-06,
                9.610244921065592e-05,
                2.7535681238877168e-05,
                3.1201926246083686e-05,
                9.610241403681053e-05,
                0.00033535010176226695,
                1.0129993389283824e-05
            ],
            [
                2.430023201636237e-05,
                3.5356259096177054e-05,
                1.892514372479069e-05,
                2.7535704217219437e-05,
                8.93969310584124e-06,
                5.8291293171243434e-05,
                4.0063711109896566e-05,
                3.5356267539488744e-05,
                3.5356254877415924e-05,
                1.8925155000714377e-05
            ],
            [
                0.9978172836114494,
                0.9940889323860297,
                0.9796676475106857,
                0.9975273772034381,
                0.9995121429417326,
                0.9399133473013075,
                1.3007133110746217e-05,
                0.9971990731961081,
                0.9706877708385803,
                0.26894141551050293
            ],
            [
                0.9999967112501504,
                0.9999898700090204,
                0.9999885212291382,
                0.9999885212359804,
                0.9999952149060758,
                0.9999952149072167,
                0.9999921107392957,
                0.9999852610197855,
                0.9999869928684348,
                0.9999930377429203
            ],
            [
                0.9992903295363391,
                0.9998911030778189,
                0.9995694429625396,
                0.9996200154252537,
                0.9971990726251314,
                0.9999038975964927,
                0.9980732653355532,
                0.9999038975392328,
                0.9991959142425036,
                0.9999251537370999
            ],
            [
                3.726641061058432e-06,
                7.88925976397226e-06,
                1.1478772225646932e-05,
                6.962255419728997e-06,
                8.315284241257637e-07,
                1.14787681240737e-05,
                7.889261644057078e-06,
                2.1444956062288846e-05,
                2.5612828212909852e-06,
                2.260325375634003e-06
            ],
            [
                3.5356246487099006e-05,
                3.5356259084858424e-05,
                7.484621820719341e-05,
                3.059021539909339e-07,
                2.902312677084523e-06,
                6.605217588302838e-05,
                0.0001584361773302714,
                7.484624487808333e-05,
                0.9994472212527418,
                6.144176066672166e-06
            ],
            [
                1.670142184171555e-05,
                1.4738987236641703e-05,
                1.300713156215912e-05,
                1.8925141465820123e-05,
                4.539785776065476e-05,
                1.1478770858706246e-05,
                6.962257908880483e-06,
                4.53978902461248e-05,
                4.22283193393364e-06,
                3.1201922487820644e-05
            ],
            [
                0.99896776881115,
                0.9995121428226936,
                0.998073265094222,
                0.9990889487910293,
                0.9924227602273616,
                0.9980732651280264,
                0.9993736657478164,
                0.9626731117188291,
                0.9997694932298903,
                0.9669140208962347
            ],
            [
                6.144172404380855e-06,
                2.1444956056827822e-05,
                3.7266383955882547e-06,
                1.892514145845339e-05,
                1.1478766754941153e-05,
                3.2887494573561262e-06,
                7.88926164299515e-06,
                3.120192620522066e-05,
                4.22283294098842e-06,
                2.5612816000331606e-06
            ],
            [
                1.760344052693435e-06,
                7.484626281841286e-05,
                5.1442232001825764e-05,
                2.1444945853375776e-05,
                8.31527730252048e-07,
                1.370956716529941e-06,
                2.260324567054496e-06,
                1.1478770861211786e-05,
                1.3709568799679844e-06,
                1.473898548194914e-05
            ],
            [
                2.5612812946890944e-06,
                5.82912723385944e-05,
                4.5397890257685224e-05,
                0.00026119024345638115,
                0.9997388097529946,
                6.1441746017453204e-06,
                0.9999038975965026,
                6.962255419051463e-06,
                1.6701415854279704e-05,
                6.144172403470001e-06
            ],
            [
                3.120191508321514e-05,
                3.7266388396975786e-06,
                5.144220133284431e-05,
                5.715006514105942e-07,
                2.753569109034197e-05,
                2.4300243614475748e-05,
                4.222834954687752e-06,
                4.785095064601411e-06,
                2.4300246505474193e-05,
                1.1478773596283455e-05
            ],
            [
                0.9947798740501208,
                0.9989677689245912,
                0.9993736657472334,
                0.994088929983571,
                0.9988304899927809,
                0.9902915216292439,
                0.984093607938305,
                0.995390428047106,
                0.9740426412951848,
                0.9959298621934994
            ],
            [
                0.9796676453587735,
                0.9046505428129514,
                0.9992903297072753,
                0.9740426404003926,
                0.9914225151010806,
                0.9890130579766047,
                0.9859363734345566,
                0.9875683469286287,
                0.9986749777052555,
                0.9959298632184614
            ],
            [
                3.535626329924694e-05,
                0.9984988177373301,
                1.1478765386894505e-05,
                0.00015843615894412056,
                7.889260700721204e-06,
                3.120192623110058e-05,
                6.605212873904136e-05,
                0.00010889693465105476,
                5.144220748250827e-05,
                3.5356254894393866e-05
            ],
            [
                0.9999038975622117,
                0.9997694932847676,
                0.9998766054545734,
                0.9999687980997926,
                0.9999756997563707,
                0.9999945777797374,
                0.9999251537548992,
                0.9998204719697386,
                0.999620015424535,
                0.9999810748562717
            ],
            [
                0.00012339460337156002,
                1.994729008074216e-06,
                6.144172403827636e-06,
                1.5534984953453635e-06,
                1.012999097799944e-05,
                8.481107144588298e-05,
                4.539786308505712e-05,
                9.61024260471517e-05,
                4.539785774116719e-05,
                5.4222215550004564e-06
            ],
            [
                1.7603432132912532e-06,
                1.1478764014985311e-05,
                5.1442213544219023e-05,
                5.422219538198459e-06,
                0.7549149758396752,
                2.7535704170940182e-05,
                1.3007133113703658e-05,
                1.0129993392600532e-05,
                4.5397884779691074e-05,
                3.726641061027928e-06
            ],
            [
                0.9999756997505788,
                0.9999910603036963,
                0.9999832985721833,
                0.9999852610145143,
                0.9999485577740787,
                0.9999756997621654,
                0.9999852610127575,
                0.9999885212346123,
                0.9999832985761651,
                0.9999785550464758
            ],
            [
                0.999915188928337,
                0.9999646437450779,
                0.9999930377412605,
                0.9999970976880148,
                0.9999885212305062,
                0.9998766053809492,
                0.9999339478632058,
                0.9999898700126433,
                0.9999910602994333,
                0.9999038975621809
            ],
            [
                0.0002034270185964955,
                6.962259568775433e-06,
                3.4663253846473677e-07,
                7.889260704179641e-06,
                3.288749457409966e-06,
                3.288749457409966e-06,
                6.605217540294786e-05,
                2.753568124458694e-05,
                4.7850956351657615e-06,
                4.539788476119438e-05
            ],
            [
                0.99986017787593,
                0.9999977396757022,
                0.9999599363173769,
                0.9999938558261305,
                0.9999930377462403,
                0.9999910603015647,
                0.9999921107364741,
                0.9999952149055052,
                0.9999938558253981,
                0.9999885212264018
            ],
            [
                4.785096776394765e-06,
                6.962258739271155e-06,
                1.6701423834226767e-05,
                1.3007131562845248e-05,
                1.3007126909916233e-05,
                1.6701421840318107e-05,
                5.422220262195015e-06,
                8.93970056529743e-06,
                4.785093924103951e-06,
                1.0129988563914856e-05
            ],
            [
                4.006367782114826e-05,
                1.473898899664279e-05,
                2.4300252313904224e-05,
                4.539785772729467e-05,
                1.012999580884213e-05,
                6.605216801047711e-05,
                1.8925150492616083e-05,
                2.56128159999123e-06,
                4.539787938922657e-05,
                1.1478772229300848e-05
            ],
            [
                0.9999687980849118,
                0.9999417087344652,
                0.9999938558275955,
                0.9999852610162717,
                0.9999599363030427,
                0.9999869928653338,
                0.9998911030907222,
                0.9999852610232999,
                0.9999599363030408,
                0.9999885212346111
            ],
            [
                0.9999546021421849,
                0.9999930377454102,
                0.9999485577679497,
                0.9999945777816766,
                0.9999038975506866,
                0.9999885212359804,
                0.9999945777784448,
                0.9999930377462403,
                0.9999957771680658,
                0.9999938558246657
            ],
            [
                0.9999724642957734,
                0.999997438717484,
                0.9999910603026309,
                0.9999724643187494,
                0.9998766053666451,
                0.9999646437535161,
                0.9999898700090204,
                0.999941708713636,
                0.9999852610232991,
                0.9999810748585282
            ],
            [
                0.9999038975736549,
                0.9999756997505795,
                0.9859363717816195,
                0.9999546021475963,
                0.9993736658965789,
                0.9999724643187485,
                0.9997965729781864,
                0.9997694932298903,
                0.99986017787593,
                0.9999599363030525
            ],
            [
                1.1478765387667046e-05,
                4.78509278207486e-06,
                0.9968273169159907,
                5.829129321831856e-05,
                1.2098661161861e-06,
                1.0129992185981682e-05,
                8.939695237666677e-06,
                0.999620015423684,
                2.4300240715698294e-05,
                5.422220261948442e-06
            ],
            [
                3.120190390934028e-05,
                0.9993736658944657,
                4.53978847572308e-05,
                4.006368737677271e-05,
                3.120190392534495e-05,
                2.7535694373763664e-05,
                5.829128617783064e-05,
                5.8291286290217195e-05,
                2.753569106169292e-05,
                1.4738976694494812e-05
            ],
            [
                6.605216813542297e-05,
                0.0002959572333428926,
                6.962257078819179e-06,
                1.4738985478142165e-05,
                3.2887498485279564e-06,
                1.892515725376564e-05,
                1.0129992185760567e-05,
                1.5534979397267575e-06,
                1.3007125362323574e-05,
                3.7266410609160796e-06
            ],
            [
                5.715007195353674e-07,
                2.5612812947240366e-06,
                6.605215243885987e-05,
                4.785092782188013e-06,
                3.4663270375278157e-07,
                1.0677031245623505e-06,
                2.144494073483943e-05,
                1.8925152740434357e-05,
                8.939698434495167e-06,
                6.1441746018123775e-06
            ],
            [
                2.1444950965906214e-05,
                1.670142183934597e-05,
                0.00012339460415256175,
                2.4300252309307336e-05,
                8.93969736942758e-06,
                7.889259763857458e-06,
                5.144220746454321e-05,
                3.535625069312567e-05,
                9.61023803298359e-05,
                1.6701421840804172e-05
            ],
            [
                2.430023492353693e-05,
                2.4300252310279753e-05,
                2.4300252313020203e-05,
                9.610237961248784e-05,
                2.1444953514565465e-05,
                2.430024937870426e-05,
                2.4300240728958537e-05,
                1.0129993394129904e-05,
                8.93969736955767e-06,
                1.4738985484871391e-05
            ],
            [
                8.939694172420599e-06,
                3.535626333281696e-05,
                2.7535694308451837e-05,
                4.22283344433731e-06,
                2.4300240713399853e-05,
                3.7266406167827664e-06,
                2.5612825160271407e-06,
                1.892515274614874e-05,
                3.120192248396136e-05,
                8.939694172290508e-06
            ],
            [
                3.535625067589049e-05,
                2.1444953520884646e-05,
                3.288747889229516e-06,
                3.5356238042506135e-05,
                4.539787383097131e-05,
                5.14422197242005e-05,
                7.889263525663481e-06,
                1.4738976692993472e-05,
                2.9023133690425823e-06,
                8.939700565834043e-06
            ],
            [
                0.9998911030518871,
                0.9999832985721857,
                0.9999724642990565,
                0.9991959142431583,
                0.9999952149043646,
                0.9998911030778062,
                0.9999869928699852,
                0.9999910603058276,
                0.9999151889181979,
                0.0002305066747954073
            ],
            [
                0.9999938558232011,
                0.999983298578157,
                0.9999832985741748,
                0.9997694933396986,
                0.9999810748585282,
                0.9999546021476033,
                0.9998911030518365,
                0.9999921107374145,
                0.9999724643089045,
                0.9999724643121839
            ],
            [
                6.962259569117366e-06,
                1.670142780084011e-05,
                7.889264466230069e-06,
                1.6701425822059825e-05,
                5.144220129803702e-05,
                2.902311639126627e-06,
                1.8925154993072253e-05,
                2.4300232034838305e-05,
                3.5356242243001115e-05,
                1.8925152748558416e-05
            ],
            [
                0.9999599363221466,
                0.999997438717484,
                0.9984988178992644,
                0.9999485577863506,
                0.999796572978145,
                0.9999485577863506,
                0.9999485577740814,
                0.9986749776889263,
                0.9999646437577197,
                0.9998204720981319
            ],
            [
                1.0129988564716393e-05,
                0.9933071490540449,
                1.0129992186387057e-05,
                0.9992903296176173,
                3.120191879107958e-05,
                4.006368261266023e-05,
                1.1478770859019436e-05,
                3.1201911358551906e-05,
                1.670142582254589e-05,
                5.422220908314139e-06
            ],
            [
                0.9999810748517617,
                0.9999339478789471,
                0.9997694933399132,
                0.9999810748449924,
                0.9999339478238364,
                0.9993736657497475,
                0.9988304898767817,
                0.9999898700078134,
                0.9998911030517746,
                0.9999417087206002
            ],
            [
                5.4222202617511845e-06,
                3.120190017639228e-05,
                4.006368733421517e-05,
                8.939700566289352e-06,
                0.0001233945736970893,
                7.889262585211807e-06,
                6.144172404302622e-06,
                2.4300252315495453e-05,
                1.370957370236096e-06,
                8.939697368663308e-06
            ],
            [
                6.1441724044534996e-06,
                5.8291279378656556e-05,
                1.3007130010543792e-05,
                4.7850950643402904e-06,
                3.7266397241779347e-06,
                1.0129994600398803e-05,
                0.00017952796468434536,
                0.00013982207276255776,
                5.422219615898437e-06,
                0.9971990725347377
            ],
            [
                6.962259568889411e-06,
                2.144494073569759e-05,
                1.6701421838799146e-05,
                2.4300234928664224e-05,
                8.939698434332555e-06,
                1.300713311517055e-05,
                1.7603425837494853e-06,
                1.0677028700266676e-06,
                1.1478772224477678e-05,
                2.902313023063532e-06
            ],
            [
                0.9998601779592853,
                0.9999038976194807,
                0.9998204720553105,
                0.9980732653801031,
                0.9999852610197855,
                0.9999485577618268,
                0.9999646437450841,
                0.9968273176817989,
                0.9995121429418462,
                0.9991959141433592
            ],
            [
                1.0129987355564522e-05,
                6.962257078819179e-06,
                1.6701427809710842e-05,
                3.7266410608245674e-06,
                8.939697368663308e-06,
                8.939694169591174e-06,
                3.535624225316214e-05,
                2.430024362393472e-05,
                3.2887482812506295e-06,
                5.422220262195015e-06
            ],
            [
                1.3007125362323574e-05,
                2.753569437476538e-05,
                5.144220745705777e-05,
                5.1442207429361644e-05,
                8.48110816287202e-05,
                4.7850950648799385e-06,
                8.481106150677358e-05,
                0.0003799845202239918,
                6.962254589528684e-06,
                1.2098653950551882e-06
            ],
            [
                2.430023493228869e-05,
                0.00012339463347873087,
                4.2228349543420954e-06,
                5.422219616026655e-06,
                2.260324028404236e-06,
                8.939700566143004e-06,
                7.338211554641698e-07,
                2.430023493052066e-05,
                2.144495606813994e-05,
                5.043476486902204e-07
            ],
            [
                4.5397890254712545e-05,
                8.93969310647542e-06,
                4.222833947932061e-06,
                5.14422319797437e-05,
                7.889259763469998e-06,
                2.4300246505474193e-05,
                3.726638395493353e-06,
                3.7266379513434106e-06,
                6.475945665800774e-07,
                8.315282259051341e-07
            ],
            [
                0.9997388097220792,
                1.1478764018576587e-05,
                4.0063706455673046e-05,
                1.8925143720384422e-05,
                2.7535697660090726e-05,
                1.5534979397394734e-06,
                1.1478772230407462e-05,
                2.4300237830711845e-05,
                1.7603432132784448e-06,
                1.8925157258585e-05
            ],
            [
                1.6701425821573757e-05,
                2.7535684501962883e-05,
                4.0063706476368846e-05,
                7.484626235337785e-05,
                0.00020342699565328585,
                1.6701417853595148e-05,
                6.9622545892184106e-06,
                8.93969736942758e-06,
                2.260325375634003e-06,
                1.3007130011300897e-05
            ],
            [
                3.2887486732000038e-06,
                7.88926258532661e-06,
                1.2098662604049616e-06,
                1.4738976694977387e-05,
                6.962257908880483e-06,
                4.222832941072913e-06,
                6.962253759828703e-06,
                5.71500378896509e-07,
                5.8291244514241416e-05,
                7.338207180884785e-07
            ],
            [
                2.2603248367656408e-06,
                6.144173136729416e-06,
                8.939697367264857e-06,
                2.4300246483727398e-05,
                4.006369691549301e-05,
                6.14417606659952e-06,
                2.1444958636771547e-05,
                3.5356254910985954e-05,
                1.3007134665934505e-05,
                0.9999251537727589
            ],
            [
                0.9999921107364742,
                0.9982992774842037,
                0.9999910603004993,
                0.9999687980849252,
                0.9999810748585277,
                0.999964643753501,
                0.9999646437366474,
                0.9998415638399794,
                0.9999869928746372,
                0.9999599363125938
            ],
            [
                0.0002034269468723371,
                1.1478768121735194e-05,
                1.6701427815999337e-05,
                4.006369694959736e-05,
                6.144175334094145e-06,
                0.0001233945301513246,
                5.8291272379732106e-05,
                4.5397852346412016e-05,
                1.3007126911004571e-05,
                4.539787402089267e-05
            ],
            [
                0.9999810748449929,
                0.9999938558239333,
                0.999986992873089,
                0.9999756997505788,
                0.9999785550541453,
                0.9999646437366446,
                0.9999339478710831,
                0.9999599362982708,
                0.999992110740236,
                0.999704042865614
            ],
            [
                2.1444953520884646e-05,
                1.0129995809763438e-05,
                1.300712846361323e-05,
                1.1478769492642663e-05,
                9.610241460593481e-05,
                4.2228324375512536e-06,
                1.1478768124324254e-05,
                5.144221974216556e-05,
                1.3007134659924986e-05,
                0.00015843617759767281
            ],
            [
                3.535625491754561e-05,
                3.120191134788212e-05,
                8.939698435096828e-06,
                1.1478770861441461e-05,
                4.0063687383622725e-05,
                1.3007134665674251e-05,
                4.006368261047406e-05,
                1.994729721396435e-06,
                1.7603430034655858e-06,
                6.475948754012522e-07
            ],
            [
                4.7850956352353935e-06,
                0.00012339461848169986,
                4.785094494716039e-06,
                3.120192251336002e-05,
                1.8925154997134284e-05,
                0.000626334057804942,
                1.1478766755233466e-05,
                8.939693105467234e-06,
                3.5356246402852425e-05,
                5.829124466818968e-05
            ],
            [
                1.670141785651155e-05,
                2.430023781568357e-05,
                3.5356267520324244e-05,
                1.473898372822193e-05,
                1.3007133113703658e-05,
                5.829128618928134e-05,
                2.260325375634003e-06,
                2.902311985146426e-06,
                7.338209805170655e-07,
                5.1442207475397105e-05
            ],
            [
                6.144176799227922e-06,
                1.994729483705484e-06,
                0.00010889688291124823,
                6.96225707894582e-06,
                0.9996200155149855,
                2.7535697654881812e-05,
                1.5534973841592143e-06,
                8.315283250343497e-07,
                5.043472879419732e-07,
                6.9622595675850006e-06
            ],
            [
                0.9947798738711798,
                0.9953904285406616,
                0.999769493367164,
                0.9984988175162407,
                0.9840936068303507,
                0.9924227603394157,
                0.9902915216023822,
                0.9953904278526748,
                0.990291524431828,
                0.9902915219605399
            ],
            [
                0.00015843621558481343,
                3.120191880504111e-05,
                5.829126548301662e-05,
                0.9997388096282387,
                4.006370172712009e-05,
                0.00010889696049086198,
                0.9980732657662775,
                2.4300252308334918e-05,
                0.0002305067143001166,
                0.00029595702158273393
            ],
            [
                6.962259566635186e-06,
                2.260324028404236e-06,
                0.9995121427644797,
                5.422217030121119e-06,
                3.535625066508635e-05,
                6.144175333635923e-06,
                5.422219616085833e-06,
                1.6701423828576233e-05,
                3.726640172503764e-06,
                2.43002523020584e-05
            ],
            [
                1.4738976694977387e-05,
                1.4738988995838502e-05,
                4.53978523645784e-05,
                1.3007123810638006e-05,
                1.1478769492642663e-05,
                2.7535691063295662e-05,
                6.962255419051463e-06,
                7.889259762106714e-06,
                1.5534975693601474e-06,
                3.53562420932866e-05
            ],
            [
                0.999981074844992,
                0.9999977396746244,
                0.9999910603015649,
                0.9999910602994336,
                0.9999898700102283,
                0.9999756997650636,
                0.9998415637454691,
                0.999903897550667,
                0.9999832985701927,
                0.9999869928668849
            ],
            [
                4.222835458002318e-06,
                7.889261644358435e-06,
                2.144494585197151e-05,
                5.8291251541153115e-05,
                8.939699500636112e-06,
                0.00013982210531083842,
                5.829125152122041e-05,
                0.000261190400374024,
                4.5397852343109035e-05,
                8.481107147426634e-05
            ],
            [
                0.9999485577924737,
                0.9999038975965325,
                0.999985261018029,
                0.9999251537548992,
                0.9999852610145158,
                0.9999417087066659,
                0.9999910603026306,
                0.999995777164542,
                0.9999869928746372,
                0.9999687980737473
            ],
            [
                2.144494585197151e-05,
                0.0001088969081822127,
                4.785093353100252e-06,
                4.006368734849818e-05,
                7.484619986772894e-05,
                5.144222581173747e-05,
                3.535626312895302e-05,
                3.5356254907513187e-05,
                8.315284241257637e-07,
                5.144220745331506e-05
            ],
            [
                2.260324567268294e-06,
                3.2887490653647836e-06,
                1.1478768123280277e-05,
                1.0129987350921133e-05,
                4.22283294025486e-06,
                6.605213665724124e-05,
                0.9992903296191034,
                2.7535694337100886e-05,
                3.535625488822007e-05,
                1.6701415866188347e-05
            ],
            [
                6.144172404302622e-06,
                1.8925145980181433e-05,
                0.00012339458908910424,
                1.4738976696800444e-05,
                0.99991518896874,
                2.4300243593170955e-05,
                1.0129993393319151e-05,
                1.4738987241494252e-05,
                1.892514597832254e-05,
                0.9998204720766403
            ],
            [
                0.9997040428299991,
                0.9997965730759288,
                0.9998911030388706,
                0.9999785550566994,
                0.9999251537370629,
                0.9999930377437501,
                0.9999756997650613,
                0.9995694429615251,
                0.999959936322143,
                0.9999339478710788
            ],
            [
                0.9999910603068932,
                0.9999885212346115,
                0.9999785550541431,
                0.999769493367875,
                0.999989870006605,
                0.9999970976869769,
                0.9999962733602717,
                0.9997694933120754,
                0.9999724643056201,
                0.9999832985741738
            ],
            [
                1.1478772229781076e-05,
                1.892515500450102e-05,
                0.00015843615913314568,
                5.829127241747701e-05,
                4.22283394786293e-06,
                4.0063687392367425e-05,
                1.8925150485318196e-05,
                8.481103108723191e-05,
                3.726641061027928e-06,
                2.14449458497871e-05
            ],
            [
                0.999992110734593,
                0.9999151889789025,
                0.9999339478710831,
                0.9997965730267098,
                0.9999967112513268,
                0.9998911030647897,
                0.9999885212305096,
                0.9999921107364741,
                0.9999921107402364,
                0.9999417087066808
            ],
            [
                2.1444943268518666e-05,
                5.422218323231539e-06,
                2.2603251061849014e-06,
                6.962254589332388e-06,
                8.93969630388855e-06,
                1.4738980211116665e-05,
                7.338208055536515e-07,
                1.8925143721761383e-05,
                2.753569437145972e-05,
                6.962257909501028e-06
            ],
            [
                0.9978172834486722,
                0.9986749776727513,
                0.9993736659045581,
                0.9980732650870582,
                0.9993736659711606,
                0.9953904287094534,
                0.9975273769834893,
                0.9971990734822467,
                0.9953904277778937,
                0.999954602142202
            ],
            [
                2.4300249408672413e-05,
                7.889264465397747e-06,
                0.00010889689549681843,
                1.2098659719232413e-06,
                1.7603436329554703e-06,
                2.4300249419722622e-05,
                6.144172403827636e-06,
                1.3007130012673148e-05,
                1.6701419849933667e-05,
                6.962256249606473e-06
            ],
            [
                0.9999974387184,
                0.9999852610180288,
                0.9999938558268632,
                0.9999980052707541,
                0.9999984465018751,
                0.9999974387171786,
                0.9999967112509347,
                0.9999945777829694,
                0.9999952149060757,
                0.999991060299434
            ],
            [
                1.3007126911004571e-05,
                7.889259764079887e-06,
                2.902311985146426e-06,
                6.9622537593854575e-06,
                7.889264466230069e-06,
                1.0129989771657269e-05,
                2.5612831266608576e-06,
                1.0129994601301684e-05,
                2.260323758923431e-06,
                1.0129993378191273e-05
            ],
            [
                0.999988521234612,
                0.999968798077472,
                0.9999832985721836,
                0.9999724642990521,
                0.999983298576167,
                0.9999885212318742,
                0.9999962733611601,
                0.9999869928653345,
                0.9999962733602716,
                0.9999885212359799
            ],
            [
                1.892514823013346e-05,
                3.120190017639228e-05,
                2.4300240709863792e-05,
                2.4300240725599276e-05,
                2.56128159959988e-06,
                3.535625064142013e-05,
                2.4300234910365097e-05,
                1.670142183983204e-05,
                5.1442219756013625e-05,
                4.785096205434246e-06
            ],
            [
                8.939694167314623e-06,
                5.829127934684904e-05,
                8.93969736955767e-06,
                6.962254589705982e-06,
                1.553498495308628e-06,
                0.9999599362934934,
                3.5356242266024216e-05,
                6.962256249682458e-06,
                3.535623805665442e-05,
                1.0129989771823107e-05
            ],
            [
                2.1444950965282096e-05,
                8.93969417150998e-06,
                0.00017952798563786442,
                7.88925976397226e-06,
                4.2228334445370225e-06,
                1.1478768124783601e-05,
                4.7850939242083995e-06,
                4.785096205973894e-06,
                5.144219515398787e-05,
                1.8925154994724604e-05
            ],
            [
                1.892514147046736e-05,
                6.962254589433702e-06,
                4.539787393105161e-05,
                2.9023119851266288e-06,
                2.144495352533148e-05,
                2.753568780802255e-05,
                7.889262585211807e-06,
                1.4738976670044413e-05,
                1.0677028700203557e-06,
                4.785096205930373e-06
            ],
            [
                2.1444943294263477e-05,
                3.7266410609940346e-06,
                0.9998204720767369,
                5.422219615898437e-06,
                9.422443692446175e-07,
                1.3709570433979422e-06,
                1.0129987355343409e-05,
                0.00029595718414859694,
                6.9622570784012604e-06,
                7.484621822189592e-05
            ],
            [
                0.9999756997621647,
                0.998967769167079,
                0.9999339478395824,
                0.9999599363078219,
                0.9988304900112754,
                0.9999724642957707,
                0.9994472212585944,
                0.9999687980923481,
                0.999876605439851,
                0.9994472213870663
            ],
            [
                8.939694170062744e-06,
                3.120191130088966e-05,
                7.484620930074429e-05,
                2.7535681236473055e-05,
                1.4738985483128763e-05,
                2.7535684488840414e-05,
                3.2887490653872164e-06,
                7.484623598143269e-05,
                9.61024144087689e-05,
                0.00017952794396852131
            ],
            [
                4.785096205973894e-06,
                9.422448185478557e-07,
                2.5612819053166966e-06,
                2.7535697610305477e-05,
                6.475945665741875e-07,
                4.7850950648799385e-06,
                3.9278615344178325e-07,
                7.338207180714596e-07,
                1.6701429797422853e-05,
                3.7266392839425286e-06
            ],
            [
                0.0001398220728968278,
                5.829126537996031e-05,
                4.222833947932061e-06,
                1.8925141465820123e-05,
                8.939695236398313e-06,
                2.430023782717578e-05,
                1.8925148237775583e-05,
                5.422220908402905e-06,
                1.892514597832254e-05,
                0.9988304900006683
            ],
            [
                1.2098652507583041e-06,
                6.96225541916544e-06,
                6.144177531208195e-06,
                1.1478769491598686e-05,
                1.6701423826206655e-05,
                2.4300243570893748e-05,
                4.785093924047376e-06,
                4.222832941072913e-06,
                0.9988304895913394,
                1.147877222879974e-05
            ],
            [
                2.4300252313020203e-05,
                3.72664061681327e-06,
                1.4738988995838502e-05,
                6.144176798870286e-06,
                1.3007125358230479e-05,
                1.6701427795007302e-05,
                4.222833444106873e-06,
                2.753568122996191e-05,
                2.7535704212311033e-05,
                1.1478769491014062e-05
            ],
            [
                0.000158436234072399,
                3.1201907642061724e-05,
                7.338207180864763e-07,
                7.889263525405172e-06,
                5.4222215552470286e-06,
                7.338210679909462e-07,
                5.422218969661113e-06,
                2.9023133690425823e-06,
                5.1442201289803036e-05,
                6.144173869379821e-06
            ],
            [
                5.8291272412811914e-05,
                5.42222090882208e-06,
                1.8925150482151187e-05,
                1.370957370236096e-06,
                3.72664017246987e-06,
                7.889265405677441e-06,
                3.535623799594544e-05,
                4.539787402089267e-05,
                1.553497384196656e-06,
                5.04347348070562e-07
            ],
            [
                0.9999885212359798,
                0.999915188978871,
                0.9999756997621694,
                0.9999930377437507,
                0.9999417087344614,
                0.9999921107345932,
                0.9999977396751633,
                0.9999852610233005,
                0.9999785550490304,
                0.9999852610215436
            ],
            [
                0.9999885212264011,
                0.999992110740236,
                0.9999687980923468,
                0.9999898700066053,
                0.9999930377445803,
                0.9999810748472474,
                0.9999724643056332,
                0.999860177859368,
                0.9999910603036961,
                0.9999938558239332
            ],
            [
                0.9999832985801468,
                0.9999910603015648,
                0.9999599363125902,
                0.9999785550464778,
                0.9999810748517607,
                0.9999756997592695,
                0.9999930377412604,
                0.9999869928715357,
                0.9999151889485385,
                0.9999869928653335
            ],
            [
                0.9999646437535026,
                0.9999546021313623,
                0.9999417087205582,
                0.9995694428595177,
                0.9998415637831796,
                0.9997965729537396,
                0.9999151889586319,
                0.9998204720338842,
                0.9999038975507369,
                0.9997694932849822
            ],
            [
                8.939693106182721e-06,
                6.962255419051463e-06,
                0.00013982205654233167,
                5.422217675874929e-06,
                4.2228349547223175e-06,
                5.4222170304318e-06,
                2.4300243620398656e-05,
                5.422218323019487e-06,
                7.889260704308795e-06,
                7.889263525778283e-06
            ],
            [
                4.222835458044565e-06,
                7.889263524788109e-06,
                1.670142979875954e-05,
                2.260324567302214e-06,
                1.3709572067955008e-06,
                6.962257908880483e-06,
                3.7266410608720178e-06,
                6.962255419051463e-06,
                6.962253759157502e-06,
                5.422217676575195e-06
            ],
            [
                1.2098652508144226e-06,
                4.222833444506298e-06,
                1.1478764018827141e-05,
                4.006368737910463e-05,
                7.484622702052772e-05,
                3.7266392840781026e-06,
                1.7603425837062577e-06,
                2.5612834319655406e-06,
                3.726641061027928e-06,
                2.2603240279591663e-06
            ],
            [
                1.0129989771657269e-05,
                6.962256248871951e-06,
                2.902310947208574e-06,
                3.2887498494282754e-06,
                4.539785772729467e-05,
                6.144177531532303e-06,
                1.0129992186589747e-05,
                8.939698435096828e-06,
                2.144495863201265e-05,
                3.5356267541418054e-05
            ],
            [
                0.9998911031037759,
                0.9988304897458237,
                0.9999599362887458,
                0.9999724642957877,
                0.9988304898795015,
                0.9999756997476821,
                0.9149009497722477,
                0.9999646437619434,
                0.9998204720771078,
                0.9999687980923566
            ],
            [
                4.539785776395774e-05,
                6.962254588724508e-06,
                1.473898899908247e-05,
                5.144221971259806e-05,
                5.829124465207388e-05,
                0.9978172839121561,
                1.1478769493728398e-05,
                0.00013982205628803237,
                3.120192623700302e-05,
                0.00015843619589853397
            ],
            [
                1.0129994597155795e-05,
                1.670142183825232e-05,
                7.889260704308795e-06,
                1.0677027427340866e-06,
                6.144174601097106e-06,
                1.0129992184544441e-05,
                8.939697369004791e-06,
                4.78509563509613e-06,
                1.1478766755734576e-05,
                4.7850956352353935e-06
            ],
            [
                3.726638394957837e-06,
                5.829124447352783e-05,
                8.939697368842181e-06,
                1.8925148223661747e-05,
                0.9988304895774684,
                1.0129993392342568e-05,
                8.939699500766203e-06,
                1.8925145959182802e-05,
                1.6701425822059825e-05,
                1.2098662604049616e-06
            ],
            [
                0.9999852610232999,
                0.9999952149043646,
                0.999995777164542,
                0.9998766053960755,
                0.9999339478632404,
                0.9999832985821377,
                0.9999785550413696,
                0.9999339478317286,
                0.9999785550413645,
                0.9999785550413632
            ],
            [
                3.120191133766637e-05,
                0.00012339454481799031,
                3.726640616748873e-06,
                5.422221554926484e-06,
                5.8291292591498395e-05,
                0.999841563745317,
                1.8925150487521332e-05,
                6.605217603921075e-05,
                1.3007130012010681e-05,
                0.00013982202368890325
            ],
            [
                0.9996200154243251,
                0.9999599362934879,
                0.9999810748472479,
                0.9999646437408576,
                0.9988304898950043,
                0.9999339478238272,
                0.9995694430150338,
                0.99944722132275,
                0.9998601779593056,
                0.9999485577863476
            ],
            [
                8.93969417214416e-06,
                1.4738981968060613e-05,
                1.1478766757049986e-05,
                4.0063687383622725e-05,
                3.535626751337872e-05,
                7.889264466545779e-06,
                0.9998204720980326,
                6.1441724044534996e-06,
                1.7603430034655858e-06,
                6.144173868670137e-06
            ],
            [
                0.00017952798396879193,
                0.00017952796468434536,
                1.0129993393319151e-05,
                1.3709576970949014e-06,
                1.6701429803316423e-05,
                3.5356267547205986e-05,
                2.14449535222109e-05,
                7.889262585211807e-06,
                8.93969630362837e-06,
                1.0129995809247506e-05
            ],
            [
                0.99829927731857,
                0.9995694429104336,
                0.9998601779593483,
                0.9796676452474677,
                0.9947798740259395,
                0.9995694429613496,
                0.9984988175054218,
                0.9992903296186081,
                0.9990889488764361,
                0.9902915235364338
            ],
            [
                6.962254589433702e-06,
                1.6701427813872793e-05,
                6.1441746017453204e-06,
                4.006369694959736e-05,
                2.43002320236113e-05,
                1.670142579034393e-05,
                1.1478773592796574e-05,
                2.2603251062013478e-06,
                3.5356250689524286e-05,
                3.2887486732000038e-06
            ],
            [
                8.939698434657777e-06,
                7.889263525405172e-06,
                3.288749849477628e-06,
                7.889261644875049e-06,
                2.902313368963394e-06,
                1.1478768123823146e-05,
                1.3007126913346863e-05,
                0.9820137914525806,
                3.535623805163821e-05,
                1.994729008105057e-06
            ],
            [
                0.9924227587776612,
                0.9984988180613733,
                1.3007126912542439e-05,
                0.9997388096596329,
                0.9997040427946599,
                0.9914225133111864,
                0.9989677689391164,
                0.9626731156008577,
                0.9820137883929406,
                0.96267311131724
            ],
            [
                0.9999938558268631,
                0.9999984465020603,
                0.9998415637645907,
                0.9999485577924947,
                0.9999991684717742,
                0.9999885212305064,
                0.9999546021097148,
                0.9999417087066693,
                0.9999938558232014,
                0.999704042867517
            ],
            [
                7.889265406567165e-06,
                2.7535681249595513e-05,
                1.4738980205754734e-05,
                4.222834954561012e-06,
                2.9023119847359636e-06,
                7.889261644358435e-06,
                2.1444945843077847e-05,
                3.120190018524592e-05,
                1.5534971989568904e-06,
                6.475945666009864e-07
            ],
            [
                4.785092783267308e-06,
                1.3007126912826352e-05,
                7.889260704423598e-06,
                3.288749065125496e-06,
                8.939699500636112e-06,
                1.2098655392464547e-06,
                2.7535694328285794e-05,
                4.0063687367153544e-05,
                2.7535681236473055e-05,
                3.2887490653109436e-06
            ],
            [
                1.0129987356191011e-05,
                5.144223193894802e-05,
                4.0063711256516126e-05,
                8.481101036245995e-05,
                1.1478772229300848e-05,
                8.939700563248534e-06,
                1.1478769491306371e-05,
                1.4738988997768797e-05,
                3.120190390445942e-05,
                1.892514823426434e-05
            ],
            [
                4.222834451254188e-06,
                1.670142781432848e-05,
                3.120190392534495e-05,
                8.93969950000193e-06,
                8.315281267834927e-07,
                2.561283432005142e-06,
                5.422221555069497e-06,
                1.4738980206290928e-05,
                4.006367780569929e-05,
                5.422218323399208e-06
            ],
            [
                2.5612815992038705e-06,
                6.475947982002148e-07,
                3.4663257978465195e-07,
                8.939699499432793e-06,
                1.1478765388314311e-05,
                1.5534971989992774e-06,
                1.147876675466972e-05,
                9.422444815765128e-07,
                4.222834451327159e-06,
                3.726637951079042e-06
            ],
            [
                3.2887506332466845e-06,
                2.7535700927485757e-05,
                4.539786320924914e-05,
                2.144495092518259e-05,
                7.484625356672172e-05,
                1.8925145980181433e-05,
                1.4738976699749503e-05,
                1.3709576971061233e-06,
                1.4738981971250963e-05,
                2.144495606813994e-05
            ],
            [
                0.999996273360716,
                0.9999957771650453,
                0.999985261016272,
                0.9999869928715361,
                0.999975699753477,
                0.9999339478789423,
                0.9999687980886309,
                0.999991060303696,
                0.9999485577618298,
                0.9998766054693442
            ],
            [
                8.939700566143004e-06,
                1.6701421842140854e-05,
                5.422218323019487e-06,
                4.006370172916052e-05,
                1.147876675466972e-05,
                0.00020342699413794494,
                1.67014158650947e-05,
                6.1441746017453204e-06,
                1.1478766754377407e-05,
                2.753569764256071e-05
            ]
        ]
    },
    {
        "q_id": "10551_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            99,
            103,
            104,
            107,
            111,
            112,
            113,
            114,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            95,
            96,
            97,
            98,
            100,
            101,
            102,
            105,
            106,
            108,
            109,
            110,
            115,
            116,
            117,
            118
        ],
        "rewards": [
            [
                0.9999885212264018,
                0.9999952149037942,
                0.9999810748427369,
                0.9999977396746244,
                0.9999967112501507,
                0.9999898700114358,
                0.9999970976887068,
                0.9999990577555185,
                0.9999930377412609,
                0.999997438716568
            ],
            [
                1.2098662604291696e-06,
                6.475950297993789e-07,
                3.0590237279032884e-07,
                7.338213304363436e-07,
                1.9947294837154625e-06,
                2.5612812947077304e-06,
                9.422442569315887e-07,
                8.315281267834927e-07,
                5.043472278312808e-07,
                1.5534971990126997e-06
            ],
            [
                0.9999984465026158,
                0.9999832985721836,
                0.9999687980774796,
                0.9999930377445804,
                0.9999977396765104,
                0.9999938558275955,
                0.9999599363173711,
                0.9999910603036961,
                0.9999991684716749,
                0.9999970976890528
            ],
            [
                0.9999756997650652,
                0.9999921107336528,
                0.9999957771670589,
                0.999989870009021,
                0.999941708741432,
                0.9999930377404307,
                0.999992110734593,
                0.9999921107364742,
                0.9999938558232009,
                0.9999724643023399
            ],
            [
                5.715007195447234e-07,
                2.902310947208574e-06,
                1.7603432133136672e-06,
                3.7266379513434106e-06,
                4.785092783319532e-06,
                8.315278294072958e-07,
                7.338212429582604e-07,
                1.7603430034743913e-06,
                5.04347408197782e-07,
                1.7603434231777837e-06
            ],
            [
                0.9999967112497585,
                0.9999970976887069,
                0.9999910602994339,
                0.9999989322970027,
                0.9999910603047625,
                0.9999990577549568,
                0.9999990577549569,
                0.9999986290424663,
                0.9999990577554061,
                0.9999996940976636
            ],
            [
                1.0129995809247506e-05,
                3.927862939136532e-07,
                6.475950297993789e-07,
                1.7603430034743913e-06,
                1.3709567165579959e-06,
                2.561281905376098e-06,
                7.889260704531226e-06,
                1.3709573702778664e-06,
                2.561282516042282e-06,
                2.561282210729555e-06
            ],
            [
                0.9999977396757022,
                0.9999962733611601,
                0.9999938558232009,
                0.9999945777797374,
                0.9999957771655487,
                0.9999977396759716,
                0.9999810748540172,
                0.9999852610145148,
                0.9999921107355335,
                0.9999977396746242
            ],
            [
                0.9999992661790195,
                0.9999994956525318,
                0.9999989322967481,
                0.9999994956525918,
                0.9999982396561571,
                0.9999987901343165,
                0.9999967112493664,
                0.9999996072138465,
                0.9999930377404306,
                0.999999266178757
            ],
            [
                0.9999974387171786,
                0.9999984465018751,
                0.9999945777810304,
                0.9999977396751633,
                0.9999952149049349,
                0.9999962733616045,
                0.9999546021097124,
                0.9999977396748938,
                0.9999921107392953,
                0.9999987901344607
            ],
            [
                0.9999921107336527,
                0.9996646498510153,
                0.9999910602994336,
                0.9999970976873228,
                0.9999970976876689,
                0.9999993524052018,
                0.9999910603036963,
                0.9999885212305069,
                0.9999945777810304,
                0.999995777166052
            ],
            [
                2.6995790618350237e-07,
                1.3709568799879344e-06,
                4.222834451327159e-06,
                5.715002426439334e-07,
                5.715005151550947e-07,
                2.10243290909724e-07,
                1.7603427936335396e-06,
                2.6995784182140636e-07,
                5.043472278312808e-07,
                3.059021175261338e-07
            ],
            [
                0.9999885212305064,
                0.9999982396569966,
                0.9999962733607161,
                0.9999990577554061,
                0.9999977396754327,
                0.9999977396751633,
                0.9999987901341723,
                0.9999987901346049,
                0.9999869928715357,
                0.999992110737415
            ],
            [
                0.9999984465022455,
                0.9999962733598274,
                0.9999957771650453,
                0.9999989322968754,
                0.9999599363125974,
                0.9999810748449914,
                0.9999869928761873,
                0.9999485578047517,
                0.9999945777784447,
                0.9999957771675623
            ],
            [
                0.9999984465026158,
                0.9999977396754327,
                0.9999996533674615,
                0.9999977396746244,
                0.9999967112517189,
                0.9999977396762411,
                0.9999984465024306,
                0.9999977396757022,
                0.9999984465018751,
                0.9999996533674201
            ],
            [
                0.9999485577802218,
                0.9999921107355335,
                0.9999910603036958,
                0.9999785550566999,
                0.99986017787593,
                0.9998601779426847,
                0.9999810748540162,
                0.9999724643187476,
                0.9999038975392034,
                0.9999646437408619
            ],
            [
                6.475947982002148e-07,
                5.715005151574337e-07,
                2.561281905390075e-06,
                2.260324297853209e-06,
                2.2603242978665707e-06,
                9.422442569290178e-07,
                1.0677029973192638e-06,
                2.5612828213352452e-06,
                1.5534983101301911e-06,
                3.288750633569722e-06
            ],
            [
                1.0677024882009222e-06,
                3.05902190458764e-07,
                1.2751905808881762e-07,
                6.475949526020042e-07,
                3.0590233632400716e-07,
                6.475951070002966e-07,
                6.475947982022763e-07,
                4.450848927658745e-07,
                1.7603427936263351e-06,
                3.2887502415438413e-06
            ],
            [
                1.3709578605729614e-06,
                2.6995768091383957e-07,
                1.5534983101478522e-06,
                2.3823685319244518e-07,
                1.3709568799823232e-06,
                7.338209805200689e-07,
                3.7266388398585725e-06,
                7.338207180864763e-07,
                7.338209805170655e-07,
                8.315277302788957e-07
            ],
            [
                1.553498495338299e-06,
                1.3709573702778664e-06,
                1.994729245917502e-06,
                2.9023130230846496e-06,
                1.2098658277451275e-06,
                2.9023116391477434e-06,
                3.466327863983311e-07,
                2.26032402841657e-06,
                1.3709568799760888e-06,
                1.553497199007048e-06
            ],
            [
                0.9999852610136106,
                0.9998204719485422,
                0.9999724642957725,
                0.9999038975621306,
                0.9997388097535417,
                0.9999687980774685,
                0.9999724642990531,
                0.9999546021205374,
                0.9999910603015646,
                0.9999869928761874
            ],
            [
                0.9999967112493665,
                0.99986017797601,
                0.9999980052698029,
                0.9999852610145151,
                0.9999785550567036,
                0.9999852610127589,
                0.9999687980774756,
                0.9999977396751633,
                0.9999810748495058,
                0.9999810748562746
            ],
            [
                0.999995777166052,
                0.9999885212277702,
                0.9999962733611603,
                0.9999151889688344,
                0.9999910603026304,
                0.9999038976080695,
                0.9999962733598274,
                0.9999970976883608,
                0.9999938558224682,
                0.9999921107345934
            ],
            [
                0.9999546021421849,
                0.9999921107383549,
                0.9999810748472494,
                0.9999852610110012,
                0.9999885212346119,
                0.9998766054693604,
                0.9999967112513266,
                0.9999984465015046,
                0.9999910603026304,
                0.9999756997679602
            ],
            [
                0.999998790134028,
                0.9999485577986293,
                0.9999930377445803,
                0.9999974387177893,
                0.999997438716568,
                0.9999921107383549,
                0.999989870010228,
                0.999999266178932,
                0.9999984465022455,
                0.9999785550439179
            ],
            [
                3.726641061085547e-06,
                5.422218323290717e-06,
                5.715003789033962e-07,
                2.5612834320214477e-06,
                1.5534975693792215e-06,
                8.3152792852928e-07,
                1.5534979397790343e-06,
                3.7266388398585725e-06,
                4.222831934286977e-06,
                7.338212429562581e-07
            ],
            [
                3.726639728262097e-06,
                1.3007133115903994e-05,
                3.2887506335906595e-06,
                2.561281905390075e-06,
                2.5612834320214477e-06,
                2.2603242978665707e-06,
                1.0677027427600627e-06,
                6.1441746018123775e-06,
                4.2228324375973415e-06,
                1.5534981249574276e-06
            ],
            [
                5.043476486883855e-07,
                8.315282259089153e-07,
                3.2887482813149375e-06,
                1.7603427936263351e-06,
                3.927860597945825e-07,
                4.450851580540182e-07,
                1.2098659719716573e-06,
                7.338208055664991e-07,
                1.0677033791495609e-06,
                8.315278294038928e-07
            ],
            [
                3.726641061109272e-06,
                1.553498124964492e-06,
                5.043476486902204e-07,
                1.7603425837791042e-06,
                1.553498495338299e-06,
                1.7603425837702984e-06,
                1.89251527534122e-05,
                1.3709578605729614e-06,
                2.561283126679493e-06,
                2.9023116391978967e-06
            ],
            [
                1.3709570434178922e-06,
                1.0677026154774503e-06,
                2.902312677104321e-06,
                1.067702615468225e-06,
                8.315277302788957e-07,
                7.338213304343413e-07,
                2.3823693839290317e-07,
                3.288748673319648e-06,
                5.043476486883855e-07,
                1.0677032518700286e-06
            ],
            [
                0.9999962733607158,
                0.9999910602994336,
                0.999998005269803,
                0.9999810748517612,
                0.999993855823201,
                0.9999977396759716,
                0.9999898700090204,
                0.9999910603015649,
                0.999993855826863,
                0.9999991684720715
            ],
            [
                0.9999869928761884,
                0.9999869928715357,
                0.9999910603058279,
                0.9999898700090208,
                0.9999756997621694,
                0.9999417087275358,
                0.9999898700053977,
                0.9999952149055054,
                0.9999952149072167,
                0.9998601779093775
            ],
            [
                0.999999495652652,
                0.9999980052707541,
                0.999998790134028,
                0.9999980052707541,
                0.9999992661788446,
                0.9999994284997573,
                0.9999986290427931,
                0.9999998362623528,
                0.9999984465024306,
                0.9999990577556307
            ],
            [
                0.9999910603058276,
                0.9999869928699862,
                0.9999810748495047,
                0.9999898700126433,
                0.9999930377429205,
                0.9999910603068933,
                0.9999930377420905,
                0.9999970976876689,
                0.9999885212318748,
                0.9999910603068933
            ],
            [
                4.785095065093186e-06,
                4.222833444467892e-06,
                3.2887502415438413e-06,
                1.3709572068478697e-06,
                6.144173869312763e-06,
                1.3709568799760888e-06,
                2.9023112931873767e-06,
                2.2603237589779086e-06,
                8.315283250371857e-07,
                8.93969630388855e-06
            ],
            [
                2.260324028427877e-06,
                5.715006514167015e-07,
                5.715006514151423e-07,
                1.209865683518615e-06,
                1.760343003481596e-06,
                1.0677027427569065e-06,
                3.4663278639738526e-07,
                2.1024334103553052e-07,
                3.466327863983311e-07,
                1.0677028700266676e-06
            ],
            [
                9.422444815628016e-07,
                3.059021175255426e-07,
                3.9278615344267634e-07,
                9.422450431989127e-07,
                6.475949526003845e-07,
                1.7603440527222532e-06,
                2.3823693839325527e-07,
                8.315278294038928e-07,
                8.315277302841894e-07,
                2.5612812947240366e-06
            ],
            [
                8.315284241597959e-07,
                1.9947297215043796e-06,
                1.0677033791583005e-06,
                4.450848927650143e-07,
                5.715005151574337e-07,
                7.338213304343413e-07,
                3.9278634073625165e-07,
                5.715005151606823e-07,
                1.5534975693869924e-06,
                9.422450431954847e-07
            ],
            [
                0.9999962733593831,
                0.9999756997621654,
                0.999972464312183,
                0.9999810748540167,
                0.9999852610127589,
                0.9999546021205493,
                0.9999646437535052,
                0.9999599363030427,
                0.9999339478553375,
                0.9999980052700408
            ],
            [
                5.71500515159253e-07,
                5.715002426475718e-07,
                1.3709575337016483e-06,
                2.9023130230846496e-06,
                6.475945666033422e-07,
                8.315283250371857e-07,
                2.26032402841657e-06,
                1.2098658277451275e-06,
                9.422445939002803e-07,
                9.422445938917108e-07
            ],
            [
                0.9999957771665555,
                0.9999957771650454,
                0.9999938558268632,
                0.9999930377412606,
                0.999995214904935,
                0.9999970976880148,
                0.9999974387171787,
                0.9999832985821384,
                0.9999910603068934,
                0.9999952149072167
            ],
            [
                0.9997965729789262,
                0.9995121428806805,
                0.9997965729297487,
                0.9975273768864361,
                0.9996646500095812,
                0.9999852610197864,
                0.9998911030777318,
                0.9999038975762335,
                0.9993736659752047,
                0.998967768788822
            ],
            [
                0.999981074844992,
                0.9999756997621677,
                0.9999977396759716,
                0.9999885212318746,
                0.9999885212346115,
                0.9999756997476845,
                0.9999974387187053,
                0.9999938558246657,
                0.999985261019786,
                0.9999921107383549
            ],
            [
                0.9999980052700407,
                0.9999952149043646,
                0.9999938558239332,
                0.9999952149060758,
                0.9999970976866309,
                0.9999930377462403,
                0.9999785550592574,
                0.9999952149066462,
                0.999998005269803,
                0.9999938558261307
            ],
            [
                0.9999724643023361,
                0.9999339478789562,
                0.9999910603036959,
                0.9999982396559473,
                0.9999852610162724,
                0.9999898700114358,
                0.999998446502801,
                0.9996646498638257,
                0.9999810748449914,
                0.9999974387168733
            ],
            [
                6.144175334239434e-06,
                1.5534983101549167e-06,
                2.9023119851635836e-06,
                4.222832941111319e-06,
                5.043475284447896e-07,
                2.5612828213352452e-06,
                0.9999930377462407,
                9.422449308716635e-07,
                2.902313023101807e-06,
                1.994729483694599e-06
            ],
            [
                6.962255419804982e-06,
                1.0677028700363782e-06,
                1.553498124964492e-06,
                1.9947299592933255e-06,
                1.2098655392811161e-06,
                3.726641061085547e-06,
                1.3709567165579959e-06,
                3.726639728370556e-06,
                2.5612812947508257e-06,
                8.93969736942758e-06
            ],
            [
                0.9999974387184,
                0.9999785550515897,
                0.9999921107336526,
                0.9999984465020603,
                0.9999885212359801,
                0.999995777164542,
                0.9999832985701927,
                0.9999810748427413,
                0.9999898700126431,
                0.9999885212346113
            ],
            [
                0.9999989322973846,
                0.9999984465026158,
                0.999997097687669,
                0.9999957771680658,
                0.9999974387168733,
                0.9999986290427931,
                0.9999977396762411,
                0.9999986290427931,
                0.9999986290432835,
                0.9999986290431201
            ],
            [
                0.9999599363030465,
                0.9999938558224684,
                0.9999885212359795,
                0.9999852610110004,
                0.999994577782323,
                0.9999832985741741,
                0.9999251538023083,
                0.9999687980737526,
                0.9999885212277696,
                0.9999921107402359
            ],
            [
                0.9999546021421896,
                0.9999910603058276,
                0.9999852610145158,
                0.9999546021097243,
                0.9999921107336527,
                0.9999687980923528,
                0.9999898700126436,
                0.9999869928730869,
                0.9999930377404305,
                0.9999957771655487
            ],
            [
                7.889263526093993e-06,
                1.5534979397740895e-06,
                5.043474081993875e-07,
                1.3007123810306773e-05,
                1.0129989770441144e-05,
                6.475949525981759e-07,
                5.043473480766399e-07,
                2.9023119851635836e-06,
                1.994729483705484e-06,
                3.2887494573561262e-06
            ],
            [
                2.2603234895053587e-06,
                5.043472278312808e-07,
                7.338211554758494e-07,
                1.0677029973158649e-06,
                3.9278610661822475e-07,
                6.475949526003845e-07,
                1.760343213322473e-06,
                2.260325375634003e-06,
                3.726639728348526e-06,
                2.9023126770343703e-06
            ],
            [
                2.5612828213690224e-06,
                4.450851580555361e-07,
                1.6373766672973748e-07,
                5.043472879540142e-07,
                6.475947982002148e-07,
                1.9947299592933255e-06,
                5.715004470326849e-07,
                6.475951069985296e-07,
                2.3823685319244518e-07,
                5.715004470313855e-07
            ],
            [
                7.338213304363436e-07,
                3.927862002663297e-07,
                5.715003789017068e-07,
                5.715004470326849e-07,
                7.338208930421943e-07,
                6.475946438042047e-07,
                6.144176799099397e-06,
                8.315284241650899e-07,
                1.370957860567974e-06,
                6.475951070002966e-07
            ],
            [
                0.9999038975736242,
                0.9999962733611601,
                0.9998766054252419,
                0.9999599362887142,
                0.999876605381012,
                0.9997965729783136,
                0.9991959140619856,
                0.9999485577924795,
                0.9999756997650613,
                0.9999485577986055
            ],
            [
                0.9999898700114355,
                0.999975699756372,
                0.9999910603068932,
                0.9999977396762411,
                0.9999898700078131,
                0.9999885212305064,
                0.9999921107392955,
                0.9999962733598274,
                0.9999785550490315,
                0.9999921107374145
            ],
            [
                0.9999962733598274,
                0.9999989322970027,
                0.9999984465015047,
                0.9999980052693274,
                0.9999992661786696,
                0.9999984465015047,
                0.9999984465020603,
                0.9999945777823229,
                0.9999970976876689,
                0.9999993524052018
            ],
            [
                7.88926258532661e-06,
                9.422449308748773e-07,
                1.553497754583709e-06,
                1.3709576971316842e-06,
                6.475946438042047e-07,
                1.2098653950606901e-06,
                6.144173869312763e-06,
                4.785093924251918e-06,
                2.561281600049467e-06,
                1.9947292459265734e-06
            ],
            [
                1.5534979397677313e-06,
                6.475945666033422e-07,
                3.46632497145457e-07,
                3.7266379513434106e-06,
                6.475946438042047e-07,
                9.422447062240614e-07,
                4.78509563535725e-06,
                4.785095065093186e-06,
                1.7603438428460541e-06,
                1.067702870039777e-06
            ],
            [
                3.927862939136532e-07,
                8.315278294038928e-07,
                3.288748281295496e-06,
                4.2228349547223175e-06,
                1.0129987356191011e-05,
                5.715003107738556e-07,
                1.9947297215043796e-06,
                6.962257079465052e-06,
                2.2603251062147097e-06,
                3.927862939136532e-07
            ],
            [
                4.222833947820683e-06,
                6.962257909501028e-06,
                6.475951069985296e-07,
                4.222833444506298e-06,
                6.144174601879434e-06,
                2.9023130231176453e-06,
                5.043473480766399e-07,
                3.288748281295496e-06,
                4.222832941142044e-06,
                1.3709572068354007e-06
            ],
            [
                0.9999974387171787,
                0.9999991684722697,
                0.9999987901343165,
                0.9999989322970027,
                0.9999987901346049,
                0.9999977396759716,
                0.9999970976866309,
                0.9999977396762411,
                0.999999266178932,
                0.9999984465015047
            ],
            [
                2.2603234895176927e-06,
                7.338207180884785e-07,
                1.5534979397592542e-06,
                1.0677031245953668e-06,
                6.475950297993789e-07,
                6.475949526020042e-07,
                7.889260704308795e-06,
                1.553497199007048e-06,
                7.338208930421943e-07,
                1.0677026154806063e-06
            ],
            [
                0.9999938558253981,
                0.9999546021097292,
                0.9999921107364742,
                0.9999962733593832,
                0.9999910603004993,
                0.9999898700114359,
                0.9999785550490333,
                0.9999910602994336,
                0.9999970976887068,
                0.9999921107336531
            ],
            [
                0.9998415637075534,
                0.9997388095661343,
                0.9984988180865011,
                0.9975273768542765,
                0.9997694932024783,
                0.9996646498895055,
                0.9999038975621404,
                0.9968273177112531,
                0.9914225127171948,
                0.9992903294501487
            ],
            [
                0.9999898700114358,
                0.9999910603058276,
                0.9999785550515891,
                0.9999485577802218,
                0.9999952149072165,
                0.999986992876188,
                0.999994577780384,
                0.9999756997650643,
                0.999994577782323,
                0.999975699756372
            ],
            [
                0.9999945777823229,
                0.9999967112513267,
                0.9999898700126431,
                0.9999989322972572,
                0.9999756997476837,
                0.9999599363126013,
                0.9999989322968753,
                0.9999945777784449,
                0.9999970976869769,
                0.9999991684720715
            ],
            [
                0.9997694932297292,
                0.9999339478789332,
                0.9999417087275694,
                0.9997965730021803,
                0.9999687980849051,
                0.9999852610127575,
                0.9999251537370454,
                0.9993736658241105,
                0.9998204720125233,
                0.9999339478553145
            ],
            [
                3.927862939136532e-07,
                1.760343423160973e-06,
                9.4224425692559e-07,
                9.422450432014836e-07,
                5.043474081993875e-07,
                7.338210680002898e-07,
                1.0677029973158649e-06,
                1.5534984953298217e-06,
                1.0677027427569065e-06,
                2.10243290909724e-07
            ],
            [
                0.9999885212318746,
                0.9999930377404307,
                0.9999885212277696,
                0.9999930377462403,
                0.9999910602994339,
                0.9999724643187504,
                0.9999599363173831,
                0.9999945777829694,
                0.9999785550515897,
                0.999996273358939
            ],
            [
                0.9994472214575892,
                0.9706877724815146,
                0.2450850021044189,
                0.754914997895581,
                0.999891103042347,
                0.9999485577987147,
                0.9971990733456805,
                0.9993736657491645,
                0.9999599363125866,
                0.9998601778760318
            ],
            [
                1.5534981249574276e-06,
                2.5612812947380135e-06,
                1.7603434231705793e-06,
                5.715004470295662e-07,
                7.338211554801876e-07,
                5.42222090882208e-06,
                2.90231233114251e-06,
                3.9278638756099906e-07,
                2.5612822107167428e-06,
                7.338211554688417e-07
            ],
            [
                3.466327450756327e-07,
                2.5612812947380135e-06,
                9.422450431989127e-07,
                2.5612831266946347e-06,
                9.422448185478557e-07,
                1.209865827740176e-06,
                4.785093924251918e-06,
                5.04347528446051e-07,
                9.422448185478557e-07,
                3.927862939126708e-07
            ],
            [
                0.9999982396559474,
                0.9999938558268631,
                0.9999967112509347,
                0.999978555046477,
                0.9999938558261309,
                0.9999921107392955,
                0.9999785550541436,
                0.999996273360716,
                0.9999930377454103,
                0.9999992661787571
            ],
            [
                1.994729483705484e-06,
                4.4508505193932864e-07,
                2.699577774579753e-07,
                3.0590237279032884e-07,
                2.69957906184239e-07,
                9.422447062240614e-07,
                1.0677031245953668e-06,
                3.9278634073625165e-07,
                3.0590237279085045e-07,
                2.1024336609724313e-07
            ],
            [
                0.9999977396754327,
                0.9999945777797375,
                0.9999980052698029,
                0.9999952149043646,
                0.9999991684720715,
                0.9999962733602716,
                0.9999994956524115,
                0.9999898700090202,
                0.9999980052707541,
                0.9999957771670589
            ],
            [
                0.9999974387177893,
                0.9999994956525918,
                0.9999970976883609,
                0.9999977396757022,
                0.999998239656367,
                0.9999921107383553,
                0.9999982396567868,
                0.9999982396559473,
                0.9999962733589389,
                0.9999994956524715
            ],
            [
                0.9999885212346111,
                0.9999930377445803,
                0.999978555041362,
                0.9999974387184,
                0.9999810748495047,
                0.9999945777784447,
                0.9999687980997889,
                0.9999785550413615,
                0.9999898700066052,
                0.9999938558253981
            ],
            [
                6.475947982022763e-07,
                1.3709567165530083e-06,
                4.4508505193791187e-07,
                2.9023126771227976e-06,
                2.561281600076256e-06,
                4.450851049959619e-07,
                2.3823693839290317e-07,
                5.043474683220276e-07,
                8.315277302819205e-07,
                1.2098659719757836e-06
            ],
            [
                0.9999945777810304,
                0.9999967112501504,
                0.9999987901338838,
                0.9999991684721705,
                0.9999987901337396,
                0.9999885212332438,
                0.9999885212318759,
                0.999995777164542,
                0.999995214906076,
                0.9999957771645418
            ],
            [
                8.315277302819205e-07,
                1.5534979397500702e-06,
                7.338210679949506e-07,
                8.315280276607289e-07,
                5.715002426475718e-07,
                1.3007126913820052e-05,
                9.422445939002803e-07,
                1.2098655392921197e-06,
                9.422443692555439e-07,
                5.715003789033962e-07
            ],
            [
                0.9999982396559473,
                0.9999982396569965,
                0.9999921107383553,
                0.9999921107374148,
                0.9999646437408665,
                0.9999952149060758,
                0.9999952149072167,
                0.9999984465024306,
                0.9999974387168733,
                0.999985261016272
            ],
            [
                1.0677027427525368e-06,
                3.466327450765785e-07,
                2.902312677104321e-06,
                2.9023112932045342e-06,
                1.7603434231777837e-06,
                1.0677029973158649e-06,
                8.315277302841894e-07,
                1.0677029973192638e-06,
                1.994730672668496e-06,
                1.3709573702778664e-06
            ],
            [
                2.9023116391675407e-06,
                5.043473480766399e-07,
                6.475947210031623e-07,
                2.2603234895053587e-06,
                3.927862470890063e-07,
                1.7603427936183298e-06,
                1.0677032518785256e-06,
                5.715002426475718e-07,
                5.4222215552470286e-06,
                1.2098662604291696e-06
            ],
            [
                2.5612812946890944e-06,
                7.338212429537553e-07,
                4.785094494750855e-06,
                1.9947292459265734e-06,
                2.260324028427877e-06,
                8.315283250343497e-07,
                1.3709575336947905e-06,
                1.3709575337078829e-06,
                1.0677026154730804e-06,
                3.927860597945825e-07
            ],
            [
                1.2098655392871682e-06,
                1.2098659719716573e-06,
                1.0677028700363782e-06,
                1.5534975693933505e-06,
                4.222833444467892e-06,
                3.466327450744504e-07,
                3.927862002663297e-07,
                6.144176066850984e-06,
                1.3709570434178922e-06,
                2.5612812947240366e-06
            ],
            [
                0.9999967112513267,
                0.9999852610197855,
                0.9999990577556308,
                0.9999869928761874,
                0.9999910603036961,
                0.9999251537995278,
                0.9999984465018751,
                0.9999962733611603,
                0.9999898700078134,
                0.9999982396567867
            ],
            [
                0.9999991684718732,
                0.999986992876188,
                0.9999984465024306,
                0.9999885212318754,
                0.9999980052707541,
                0.9999982396569965,
                0.9999986290426297,
                0.9999989322967481,
                0.9999984465022455,
                0.9999967112493665
            ],
            [
                5.715005151574337e-07,
                7.338211554758494e-07,
                3.288749849477628e-06,
                1.7603440527046419e-06,
                1.0129995809929273e-05,
                3.7266397283231055e-06,
                1.0677027427471959e-06,
                3.726641061058432e-06,
                7.338210680002898e-07,
                2.902312331125353e-06
            ],
            [
                0.9999646437492907,
                0.9999251537995218,
                0.999941708713636,
                0.9999646437366474,
                0.9999785550515884,
                0.999995214903794,
                0.9999546021259464,
                0.9999599363173711,
                0.9999756997505811,
                0.9999599363221504
            ],
            [
                1.3709568799919866e-06,
                9.422442569290178e-07,
                5.715003107767143e-07,
                1.3709570434122812e-06,
                1.3709576971379186e-06,
                1.3709572068422585e-06,
                1.7603438428660665e-06,
                3.9278605979534166e-07,
                3.2887482813149375e-06,
                4.4508526417298334e-07
            ],
            [
                0.9999785550592557,
                0.9998415638213696,
                0.9999038976079275,
                0.9999251537638503,
                0.9978172835227079,
                0.999820472098231,
                0.9997388097542561,
                0.9991959142469933,
                0.9997388096915893,
                0.9997040428657862
            ],
            [
                0.9999977396762411,
                0.9999967112521109,
                0.9999977396754327,
                0.9999982396574162,
                0.9999967112513266,
                0.9999957771665554,
                0.99999862904312,
                0.9999993524051246,
                0.9999987901347492,
                0.9999869928668853
            ],
            [
                0.9999646437619387,
                0.9999945777784447,
                0.9999984465024306,
                0.9999967112517187,
                0.9999952149055054,
                0.9999599363173769,
                0.9999974387171787,
                0.9999869928684354,
                0.9999485578047775,
                0.9999938558239333
            ],
            [
                0.9999990577556308,
                0.9999970976887068,
                0.9999992661788445,
                0.9999982396563669,
                0.9999724643089074,
                0.9999982396572065,
                0.9999957771665555,
                0.9999994956527121,
                0.9999991684721706,
                0.9999980052705163
            ],
            [
                9.422449308748773e-07,
                1.0677026154774503e-06,
                1.0677033791583005e-06,
                5.043473480777865e-07,
                5.715005832872586e-07,
                4.4508499888219586e-07,
                2.9023119851266288e-06,
                1.0677028700363782e-06,
                3.726639728348526e-06,
                1.7603425837791042e-06
            ],
            [
                1.0677024881941248e-06,
                4.785096776433933e-06,
                8.31527928532683e-07,
                1.3709576971316842e-06,
                9.422445939002803e-07,
                1.3709573702778664e-06,
                1.5534984953453635e-06,
                1.99473067264854e-06,
                1.0677024881980089e-06,
                1.0677032518700286e-06
            ],
            [
                0.9999898700126431,
                0.9999967112517186,
                0.9999869928715366,
                0.9999852610145148,
                0.9999687980886323,
                0.9999885212264015,
                0.999988521231875,
                0.9999852610197867,
                0.9999724642990556,
                0.9999967112521109
            ],
            [
                4.222831934352267e-06,
                4.222834954753043e-06,
                2.9023109472244114e-06,
                2.2603251062147097e-06,
                6.962256249429175e-06,
                5.04347468323289e-07,
                8.315283250371857e-07,
                2.561281905376098e-06,
                7.338208930443633e-07,
                8.315277302841894e-07
            ],
            [
                1.760343003481596e-06,
                7.338210680002898e-07,
                1.0677027427525368e-06,
                5.043472278312808e-07,
                2.561282210701601e-06,
                1.553497754577351e-06,
                9.422448185510695e-07,
                4.450852111148132e-07,
                1.3709573702722555e-06,
                3.2887482812745586e-06
            ],
            [
                0.9999785550567011,
                0.9999599363173692,
                0.999989870009021,
                0.9999151889889724,
                0.999992110740236,
                0.999941708713636,
                0.9999724643154692,
                0.999948557798623,
                0.9999885212359796,
                0.9999810748517612
            ],
            [
                1.9947292459265734e-06,
                7.338208055664991e-07,
                2.5612828213352452e-06,
                3.927862470899887e-07,
                6.475946438022905e-07,
                1.5534975693933505e-06,
                1.7603425837791042e-06,
                8.315278294072958e-07,
                5.043474683220276e-07,
                1.553498124964492e-06
            ],
            [
                0.9999967112501505,
                0.999993037740431,
                0.9999977396762411,
                0.9999910603068937,
                0.9998415637647267,
                0.9999952149055054,
                0.9999852610233002,
                0.9999977396748938,
                0.9999921107364741,
                0.9999982396572064
            ],
            [
                0.9999910603058279,
                0.999996273358939,
                0.9999938558224686,
                0.9999930377437503,
                0.9999832985841305,
                0.999975699765066,
                0.9999980052702785,
                0.9999417087483918,
                0.9999898700041905,
                0.999992110734593
            ],
            [
                8.31528424162821e-07,
                6.475948754012522e-07,
                3.0590215399183813e-07,
                1.3709575337078829e-06,
                5.71500515159253e-07,
                3.059021904580685e-07,
                1.7603430034743913e-06,
                2.5612812947380135e-06,
                1.2098656835224664e-06,
                5.715003789017068e-07
            ],
            [
                0.9999885212277699,
                0.9999970976883608,
                0.999999057755743,
                0.9999990577556307,
                0.9999930377404305,
                0.999997097687323,
                0.9999945777816768,
                0.9999986290432834,
                0.9999832985801487,
                0.9999967112505427
            ],
            [
                3.059022998558814e-07,
                1.9947299592824403e-06,
                9.422442569290178e-07,
                1.7603427936079236e-06,
                8.31527928532683e-07,
                2.2603234895176927e-06,
                7.338213304343413e-07,
                4.450851580566494e-07,
                5.715003107738556e-07,
                1.4449807263287805e-07
            ],
            [
                5.043474081993875e-07,
                9.422444815726566e-07,
                3.4663249714612693e-07,
                2.260324836776948e-06,
                3.7266388398585725e-06,
                9.422449308716635e-07,
                5.043476486902204e-07,
                9.422443692527585e-07,
                1.7603440527222532e-06,
                1.3709575337078829e-06
            ],
            [
                1.3709568799823232e-06,
                1.9947299592824403e-06,
                6.475951069985296e-07,
                1.9947304348703948e-06,
                1.3709567165530083e-06,
                1.0677031245905116e-06,
                8.315284241597959e-07,
                1.3709567165530083e-06,
                1.553497199007048e-06,
                5.043475284447896e-07
            ],
            [
                5.715004470313855e-07,
                5.043475885688201e-07,
                1.5534975693933505e-06,
                1.0677031245851707e-06,
                6.475951069932288e-07,
                1.553497754577351e-06,
                4.450852111148132e-07,
                1.5534975693933505e-06,
                1.8553910183607374e-07,
                8.31528424162821e-07
            ],
            [
                8.31528424162821e-07,
                6.475948754012522e-07,
                1.994729959270648e-06,
                2.260325375664839e-06,
                7.338207180801359e-07,
                9.422449308716635e-07,
                3.466327863983311e-07,
                1.0677031245851707e-06,
                9.422444815765128e-07,
                2.1444943298320236e-05
            ],
            [
                9.422450431989127e-07,
                2.9023116391675407e-06,
                7.338211554758494e-07,
                3.288750633569722e-06,
                6.475947982022763e-07,
                1.3709573702647743e-06,
                3.9278638756099906e-07,
                1.7603427936183298e-06,
                5.715004470295662e-07,
                9.422447062240614e-07
            ],
            [
                0.9998911030778062,
                0.9999485577679679,
                0.9399133477220882,
                0.9997694933398059,
                0.9999852610145661,
                0.9997694932024248,
                0.9999724643154788,
                0.9999687980960674,
                0.9999810748449914,
                0.999903897596464
            ],
            [
                2.260325106237323e-06,
                1.553497384196656e-06,
                4.222831934352267e-06,
                5.043476486915964e-07,
                2.5612831266608576e-06,
                1.3709576971242028e-06,
                2.9023130230846496e-06,
                2.699577130957872e-07,
                9.422445939032799e-07,
                1.3709575337078829e-06
            ],
            [
                1.9947301970813926e-06,
                1.7603425837855082e-06,
                1.2098661161927025e-06,
                1.553497199007048e-06,
                6.475946438042047e-07,
                5.715005832886879e-07,
                3.46632497145457e-07,
                9.422450431989127e-07,
                6.475951069985296e-07,
                6.475946438042047e-07
            ],
            [
                1.994730434879465e-06,
                2.2603253756874524e-06,
                5.715005832872586e-07,
                9.422447062240614e-07,
                2.1444948413814623e-05,
                2.9023133690188264e-06,
                2.9023112931688987e-06,
                4.222832437639588e-06,
                2.2603234895176927e-06,
                6.475945666051092e-07
            ],
            [
                0.9999962733593832,
                0.9999251537638563,
                0.9999974387180947,
                0.9998911030907974,
                0.9999785550515903,
                0.9999832985701939,
                0.999992110734593,
                0.9999921107374147,
                0.9998911030778315,
                0.9999921107402359
            ],
            [
                3.2887502415243994e-06,
                4.4508526417298334e-07,
                3.927862470890063e-07,
                6.475951069961737e-07,
                3.2887506335906595e-06,
                2.260325375664839e-06,
                1.7603434231777837e-06,
                5.04347528446051e-07,
                2.2603248367656408e-06,
                2.5612828213934817e-06
            ],
            [
                0.9999869928653341,
                0.9999810748427365,
                0.9999930377437501,
                0.9999599363125883,
                0.9999930377429203,
                0.9999546021367668,
                0.9999869928761871,
                0.9999832985801475,
                0.9999869928730869,
                0.9999646437619314
            ],
            [
                0.9999957771665555,
                0.9999992661790196,
                0.9999997897566338,
                0.999998790134028,
                0.9999986290421394,
                0.9999967112497585,
                0.9999982396565769,
                0.999999352404893,
                0.9999984465020603,
                0.9999921107383555
            ],
            [
                0.9999987901343165,
                0.9999996940977366,
                0.9999977396748938,
                0.9999994284996891,
                0.999998446502801,
                0.9999986290429566,
                0.9999986290429566,
                0.9999977396762411,
                0.9999980052707541,
                0.9999974387177893
            ],
            [
                1.2098653950692178e-06,
                1.370957860567974e-06,
                1.553497384196656e-06,
                1.0677031245990084e-06,
                4.4508505193932864e-07,
                5.715004470313855e-07,
                5.715006514167015e-07,
                7.3382080556433e-07,
                1.2098658277451275e-06,
                3.466326211113502e-07
            ],
            [
                2.5612816000646084e-06,
                1.0677024881941248e-06,
                8.315278294097538e-07,
                8.315283250371857e-07,
                1.0677031245990084e-06,
                1.209865683518615e-06,
                1.9947290081177566e-06,
                5.043476486915964e-07,
                1.0677031245851707e-06,
                6.475950297993789e-07
            ],
            [
                1.760344052714248e-06,
                2.2603253756874524e-06,
                1.5534975693933505e-06,
                7.338211554783522e-07,
                4.450850519403407e-07,
                1.0129989771473008e-05,
                9.422450431989127e-07,
                7.338213304316717e-07,
                1.0677024882009222e-06,
                1.9947292459265734e-06
            ],
            [
                0.9999991684716749,
                0.9999984465022455,
                0.9999993524054335,
                0.9999982396563669,
                0.9999996072136125,
                0.9999982396565767,
                0.999991060305828,
                0.999999266178932,
                0.9999984465026158,
                0.999997097687669
            ],
            [
                0.999995214903794,
                0.9999785550439179,
                0.9999417087205764,
                0.9999945777810304,
                0.9999832985801465,
                0.9998204720553759,
                0.9999952149032235,
                0.9995121427662396,
                0.9999785550541436,
                0.999972464302337
            ]
        ]
    },
    {
        "q_id": "10730_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            13,
            14,
            34
        ],
        "rewards": [
            [
                0.9999957771650454,
                0.9999938558232011,
                0.9999869928653368,
                0.9999945777790916,
                0.9999785550439243,
                0.999998446502801,
                0.9999989322973846,
                0.9999967112497585,
                0.9999977396765105,
                0.9999885212318752
            ],
            [
                0.9999938558246657,
                0.9999852610145148,
                0.99998987000419,
                0.9999938558275957,
                0.999983298578157,
                0.9999852610110015,
                0.9999898700114352,
                0.9999984465018751,
                0.9999898700078128,
                0.9999898700066052
            ],
            [
                0.9999910603015649,
                0.9999962733620487,
                0.999993855823201,
                0.9999952149032236,
                0.9999989322975118,
                0.9999952149049355,
                0.9999977396748938,
                0.9999980052707541,
                0.9999938558224684,
                0.9999898700126431
            ],
            [
                0.9999945777797377,
                0.9999992661791071,
                0.9999990577549568,
                0.9999980052705163,
                0.9999990577551815,
                0.999997438717484,
                0.9999994284997573,
                0.9999952149037941,
                0.9999952149032236,
                0.9999984465020603
            ],
            [
                0.9999974387168733,
                0.9999962733602717,
                0.9999832985741774,
                0.9999885212332431,
                0.9999952149043647,
                0.9999992661791944,
                0.9999977396762411,
                0.9999962733616043,
                0.9999970976873228,
                0.9999974387171787
            ],
            [
                2.2603245673155757e-06,
                6.144173869379821e-06,
                3.288749457432399e-06,
                6.14417533430649e-06,
                1.5534983101549167e-06,
                3.288748673319648e-06,
                5.422217677028889e-06,
                1.99472924590571e-06,
                4.785096205930373e-06,
                1.0129993394811673e-05
            ],
            [
                1.994729721482609e-06,
                4.450851049959619e-07,
                1.0677029973056687e-06,
                2.561282210701601e-06,
                6.962257079629686e-06,
                8.315283250343497e-07,
                5.043472879504592e-07,
                3.288748673319648e-06,
                9.422444815726566e-07,
                5.715007195431641e-07
            ],
            [
                0.9999967112521109,
                0.9999938558224686,
                0.9999957771680656,
                0.9999930377420904,
                0.9999938558232008,
                0.9999989322972572,
                0.9999852610180288,
                0.9999810748427356,
                0.9999945777810302,
                0.9999945777784448
            ],
            [
                0.9999546021205443,
                0.9999756997650743,
                0.9999832985701935,
                0.9999756997476829,
                0.9997694933127227,
                0.9999832985801487,
                0.9999251537727409,
                0.9999038975392426,
                0.9998766053663058,
                0.9999339478632202
            ],
            [
                0.9991959140482831,
                0.9999869928730862,
                0.9999785550515917,
                0.9997694932297292,
                0.9999251537817236,
                0.9997388096283755,
                0.9997040427594842,
                0.9997965730992242,
                0.9999339478395871,
                0.9997388095657999
            ],
            [
                4.222833947774596e-06,
                3.2887478892055875e-06,
                1.9947301970451086e-06,
                1.0677032518748838e-06,
                2.902312677084523e-06,
                1.3709578605455302e-06,
                3.2887490653647836e-06,
                1.9947306726213275e-06,
                5.422218969532895e-06,
                3.726639283806955e-06
            ],
            [
                7.889266345770692e-06,
                6.9622562489985925e-06,
                1.7603427935678977e-06,
                4.222833444283541e-06,
                7.338211554464836e-07,
                4.785096205260165e-06,
                6.475951069561228e-07,
                4.785096776068365e-06,
                4.222835458002318e-06,
                3.05902226922147e-07
            ],
            [
                4.785096205778054e-06,
                8.939694172290508e-06,
                2.902311985079115e-06,
                3.7266388396975786e-06,
                1.5534975693869924e-06,
                3.2887502414436403e-06,
                1.0677027427569065e-06,
                2.9023130230846496e-06,
                2.902311639126627e-06,
                6.144173869446876e-06
            ],
            [
                8.939697369671496e-06,
                1.9947299592824403e-06,
                7.889262585642319e-06,
                1.5534973842030142e-06,
                4.222831934286977e-06,
                2.902313023101807e-06,
                1.5534975693869924e-06,
                1.4738976700661033e-05,
                8.939699501229642e-06,
                4.2228334445370225e-06
            ],
            [
                0.9999898700078131,
                0.9999810748449929,
                0.9999810748449924,
                0.9999938558253983,
                0.9999945777829693,
                0.9999832985821392,
                0.9999832985781574,
                0.9999885212277696,
                0.9999756997505854,
                0.9999832985741745
            ],
            [
                0.9999930377445806,
                0.9999810748540182,
                0.9999930377454105,
                0.9999989322967482,
                0.9999938558239332,
                0.9999810748517594,
                0.9999989322967481,
                0.9999938558232008,
                0.9999982396561573,
                0.9999869928746369
            ],
            [
                7.338210680002898e-07,
                4.785095635296322e-06,
                5.043476486833397e-07,
                1.0677032518700286e-06,
                4.450849458200093e-07,
                1.3709568799823232e-06,
                1.1253520230052635e-07,
                5.715003107755449e-07,
                9.42244930862237e-07,
                5.715005832872586e-07
            ],
            [
                0.9999982396565769,
                0.9999885212359796,
                0.9999832985701927,
                0.9999832985721836,
                0.9999885212346115,
                0.9999810748585306,
                0.9999898700078131,
                0.999988521233243,
                0.9999852610145146,
                0.9998415637456005
            ],
            [
                0.9999785550567016,
                0.9999869928730883,
                0.9999785550592557,
                0.9999986290424664,
                0.999981074844992,
                0.9999945777810302,
                0.9999810748495038,
                0.9999251537638443,
                0.9999724643056193,
                0.9999921107374147
            ],
            [
                0.9999957771645418,
                0.9999921107364752,
                0.9999967112513272,
                0.9999982396563669,
                0.9999974387187054,
                0.9999962733607158,
                0.9999993524050474,
                0.9999989322967481,
                0.9999970976883609,
                0.9999930377429205
            ],
            [
                0.9999993524049703,
                0.9999982396574163,
                0.9999957771680661,
                0.9999993524051246,
                0.9999994284996211,
                0.9999994284993485,
                0.9999987901338838,
                0.9999990577551815,
                0.9999987901341724,
                0.9999998144608538
            ],
            [
                0.9999938558239341,
                0.9999984465018751,
                0.9999993524053562,
                0.9999996533672549,
                0.9999967112501507,
                0.9999980052705163,
                0.9999869928761935,
                0.9999989322975119,
                0.9999832985741766,
                0.9999852610215518
            ],
            [
                0.9999962733620487,
                0.9999986290431201,
                0.9999980052705163,
                0.9999990577551815,
                0.9999977396759716,
                0.9999984465016899,
                0.9999898700102283,
                0.999997438717484,
                0.9999910603058275,
                0.9999982396561571
            ],
            [
                0.9999687980923541,
                0.9999967112513267,
                0.9999980052709918,
                0.9999977396757022,
                0.9999930377454102,
                0.9999724643154663,
                0.999997097686977,
                0.9999810748495047,
                0.9999869928668841,
                0.9999967112521109
            ],
            [
                6.144177531459659e-06,
                6.144173136952939e-06,
                1.553497384196656e-06,
                8.939698435454571e-06,
                1.0129988564430787e-05,
                6.14417606659952e-06,
                1.0129994601688632e-05,
                3.288750633569722e-06,
                6.144173136885882e-06,
                8.939694172542558e-06
            ],
            [
                0.9999898700078126,
                0.9999869928746369,
                0.9999990577552937,
                0.9999785550413645,
                0.9999832985821387,
                0.9999898700114352,
                0.9999945777816768,
                0.999993855825398,
                0.9999910602994336,
                0.9999945777797378
            ],
            [
                0.9999989322975118,
                0.999998005270992,
                0.9999967112501507,
                0.9999970976883609,
                0.9999967112521106,
                0.9999962733589389,
                0.9999982396563669,
                0.9999974387187054,
                0.9999994284994167,
                0.9999984465024306
            ],
            [
                3.4663270374947136e-07,
                3.9278634073098236e-07,
                9.422443692489024e-07,
                9.422445938642879e-07,
                1.2098659719601033e-06,
                7.338211554688417e-07,
                1.0677028700266676e-06,
                2.699578096393206e-07,
                8.764246406483893e-08,
                1.2751901248280998e-07
            ],
            [
                0.9999485578047457,
                0.9999810748562717,
                0.9999852610232993,
                0.9999251537995159,
                0.9999810748540158,
                0.9999869928653341,
                0.9991959142415684,
                0.9999417087275438,
                0.9999885212264013,
                0.9999038975621116
            ],
            [
                0.9999921107374146,
                0.9999967112509346,
                0.9999987901341724,
                0.9999952149055052,
                0.9999984465022455,
                0.9999930377412606,
                0.9999989322970027,
                0.999997097686977,
                0.9999957771665555,
                0.9999952149037941
            ],
            [
                8.939695238333382e-06,
                2.2603251062147097e-06,
                3.2887482812745586e-06,
                2.1444956081636468e-05,
                3.2887490653647836e-06,
                4.222833444429485e-06,
                3.726641061109272e-06,
                1.2098655392871682e-06,
                6.144176066521288e-06,
                2.7535691098355687e-05
            ],
            [
                0.9999485577741333,
                0.9999962733602719,
                0.9999898700078167,
                0.9999687980849312,
                0.9999957771680665,
                0.9999885212318752,
                0.9999852610110019,
                0.9999852610127595,
                0.9999756997505781,
                0.9999251537817928
            ],
            [
                0.9998601779261674,
                0.9999852610180288,
                0.9999038976079864,
                0.9999910603068934,
                0.9999945777784449,
                0.9999756997679586,
                0.9999785550490361,
                0.9999417087067041,
                0.9999810748562722,
                0.9999599363221447
            ],
            [
                2.382368247924618e-07,
                2.102433410343832e-07,
                3.9278638755992735e-07,
                9.422450431954847e-07,
                1.4449798650476187e-07,
                9.422447062202052e-07,
                2.699577452733192e-07,
                5.043474683156057e-07,
                3.0590237278337337e-07,
                1.2098659718187066e-06
            ],
            [
                0.9999599362934862,
                0.9999546021475963,
                0.9998415638209662,
                0.9997694933127227,
                0.9997965730998575,
                0.9999339478395824,
                0.9999417087206125,
                0.9993736659767715,
                0.9998204719484768,
                0.9999339478711182
            ],
            [
                8.315278294072958e-07,
                3.9278610661545617e-07,
                1.5534973841895917e-06,
                1.855391681898159e-07,
                6.475949525834513e-07,
                8.93969841314438e-06,
                4.4508521110499674e-07,
                3.288749849209925e-06,
                2.9023123310580418e-06,
                2.9023119845723063e-06
            ],
            [
                0.9999991684717741,
                0.9999945777797379,
                0.9999982396569965,
                0.9999945777829693,
                0.9999986290427931,
                0.9999921107374143,
                0.999997097687669,
                0.9999885212305071,
                0.9999992661792819,
                0.999998790134605
            ],
            [
                0.9999974387177893,
                0.999994577781677,
                0.9999962733598275,
                0.9999967112521109,
                0.999998629042303,
                0.9999986290426297,
                0.9999957771675623,
                0.9999957771655487,
                0.9999984465022455,
                0.9999967112521109
            ],
            [
                0.9999994956524114,
                0.9999921107336528,
                0.9999984465020603,
                0.9999993524050474,
                0.9999977396754327,
                0.9999995549149481,
                0.9999852610197907,
                0.9999945777816769,
                0.9999885212346119,
                0.9999992661787571
            ],
            [
                3.2887502415243994e-06,
                4.222831934286977e-06,
                0.9999785550413609,
                1.0677028700363782e-06,
                4.785093924103951e-06,
                2.5612834320470717e-06,
                5.715002426439334e-07,
                1.7603432133032607e-06,
                3.726640616748873e-06,
                0.9999885212346126
            ],
            [
                0.9999989322972572,
                0.99999862904312,
                0.9999989322973846,
                0.9999980052693274,
                0.9999987901343165,
                0.9999980052709919,
                0.9999977396757022,
                0.9999984465024306,
                0.9999970976890528,
                0.9999646437408763
            ],
            [
                0.999997097687669,
                0.9999977396762411,
                0.9999980052707541,
                0.9999967112517187,
                0.9999980052702785,
                0.9999930377420906,
                0.9999921107374146,
                0.9999957771670589,
                0.9999986290426297,
                0.9999984465022455
            ],
            [
                0.9999970976876689,
                0.9999987901338838,
                0.9999994284994167,
                0.9999957771660521,
                0.9999957771675623,
                0.9999986290426297,
                0.9999646437619418,
                0.9999962733607161,
                0.9999994956527721,
                0.9999967112517189
            ],
            [
                0.9999945777803839,
                0.9999962733598274,
                0.9999952149060757,
                0.9999986290429567,
                0.9999921107355338,
                0.9999910603036963,
                0.9999974387184,
                0.9999952149032236,
                0.999995777168066,
                0.9999724642990576
            ],
            [
                0.9995694430127166,
                0.9999832985721857,
                0.9998911030388207,
                0.999569442962264,
                0.9999251537727529,
                0.999512142763089,
                0.9999038975392522,
                0.9999810748495068,
                0.9997388097837732,
                0.9999898700114359
            ],
            [
                3.9278624708775595e-07,
                1.2098661161861e-06,
                5.043474683204221e-07,
                1.9947294836483373e-06,
                2.699578418185828e-07,
                3.059023363207381e-07,
                2.5612828212909852e-06,
                5.043472278255469e-07,
                1.370956716519966e-06,
                1.2098655392811161e-06
            ],
            [
                0.9999962733589388,
                0.9999980052693274,
                0.9999910603004991,
                0.9999930377462405,
                0.9999910603068934,
                0.9999810748427356,
                0.9999885212291378,
                0.9999898700066056,
                0.9999991684719725,
                0.9999898700090203
            ],
            [
                0.9999910602994335,
                0.999997097688015,
                0.9999952149037941,
                0.9999869928684348,
                0.9999910603026306,
                0.9999987901338838,
                0.9999962733611607,
                0.9999938558253989,
                0.9999952149072167,
                0.9999930377445804
            ],
            [
                1.8553910183607374e-07,
                5.043472879504592e-07,
                5.043473480678099e-07,
                7.338208930315157e-07,
                3.7266401719174067e-06,
                9.422447062270609e-07,
                5.4222196154940574e-06,
                2.3823690999160957e-07,
                7.338213304243302e-07,
                5.043476486626983e-07
            ],
            [
                0.9999982396569966,
                0.9999952149049349,
                0.9999970976873229,
                0.9999980052707541,
                0.9999990577556308,
                0.999993855826131,
                0.9999869928715361,
                0.9999967112497585,
                0.9999991684717742,
                0.999991060299434
            ],
            [
                8.31528424162821e-07,
                4.450849988758202e-07,
                0.9959298613346452,
                5.715005832872586e-07,
                4.222834954607099e-06,
                2.6995771309523475e-07,
                5.422220261544064e-06,
                3.7266392839832006e-06,
                0.9997694932299975,
                1.0677032518700286e-06
            ],
            [
                0.9999991684721706,
                0.9999977396765105,
                0.9999945777829694,
                0.9999977396762411,
                0.9999989322971299,
                0.9999984465018751,
                0.9999967112501505,
                0.9999962733607161,
                0.9999974387171787,
                0.9999962733589389
            ],
            [
                0.9999987901341723,
                0.9999724643121848,
                0.9999832985801618,
                0.9999980052709918,
                0.999986992873086,
                0.9999898700126431,
                0.9999921107392953,
                0.9999945777790913,
                0.9999785550413609,
                0.9999945777790912
            ],
            [
                5.829124437047155e-05,
                0.9840936087546923,
                0.999088948981605,
                0.9998204720556789,
                8.315277302701984e-07,
                0.0001088968828035032,
                2.7535697654881812e-05,
                0.9626731089077047,
                8.315277302701984e-07,
                4.0063677800452475e-05
            ],
            [
                0.9999869928653355,
                0.9999952149072165,
                0.9999339478239136,
                0.9999251537371064,
                0.999968798081203,
                0.9999151889486434,
                0.9999339478789562,
                0.9999485578047547,
                0.9999339478632947,
                0.9999724643122003
            ],
            [
                0.9999957771660521,
                0.9999986290432835,
                0.9999957771680662,
                0.9999987901343166,
                0.999997097687323,
                0.9999962733620487,
                0.9999962733611601,
                0.9999910603036961,
                0.9999957771675623,
                0.9999980052702785
            ],
            [
                1.99472995920443e-06,
                3.0590211751371835e-07,
                1.5534983101478522e-06,
                1.553497384196656e-06,
                2.1444950959196957e-05,
                4.450852641717689e-07,
                9.422444815628016e-07,
                3.9278638755992735e-07,
                5.04347348075149e-07,
                1.3709568799760888e-06
            ],
            [
                0.9999977396762411,
                0.999998446502801,
                0.9999962733620487,
                0.9999974387171787,
                0.9999957771665555,
                0.9999991684720715,
                0.999998790134028,
                0.9999980052709918,
                0.9999970976890528,
                0.9999962733593832
            ],
            [
                0.9999984465018751,
                0.9999938558253983,
                0.9999982396559473,
                0.9999952149072167,
                0.9999992661791944,
                0.9999996533675028,
                0.999995777164542,
                0.9999984465016899,
                0.9999990577551815,
                0.9999990577551815
            ],
            [
                0.999998005269803,
                0.9999957771645419,
                0.9999885212346113,
                0.9999885212264016,
                0.999981074844995,
                0.9999970976880148,
                0.999994577781677,
                0.9999898700102289,
                0.9999970976873229,
                0.9999785550464785
            ],
            [
                0.9999995549147359,
                0.9999977396765105,
                0.9999994284997573,
                0.9999962733593833,
                0.9999986290426297,
                0.9999967112513267,
                0.9999986290426297,
                0.999999352404893,
                0.999998446502801,
                0.9999989322966208
            ],
            [
                0.9999921107364742,
                0.9999938558239332,
                0.9999974387177893,
                0.9999987901344609,
                0.9999952149037944,
                0.9999987901341723,
                0.9999938558224684,
                0.999997438717484,
                0.9999945777803838,
                0.9999852610127589
            ],
            [
                1.9947290081286418e-06,
                1.0129987357158383e-05,
                2.561281905376098e-06,
                1.0129988564430787e-05,
                1.760343213322473e-06,
                0.9997388096908902,
                8.939699500766203e-06,
                6.1441746017453204e-06,
                4.785095065132354e-06,
                8.939694172542558e-06
            ],
            [
                0.9999546021313623,
                0.9999038975736046,
                0.9999852610232993,
                0.9999646437535052,
                0.9999869928730869,
                0.9999885212346115,
                0.9999921107402356,
                0.9999898700053982,
                0.9999339478238862,
                0.9999945777797377
            ],
            [
                2.3823702359138736e-07,
                2.260324567268294e-06,
                2.3823690999236795e-07,
                1.2751910369101434e-07,
                1.2098661161982042e-06,
                1.0677031244429091e-06,
                1.855390354802038e-07,
                2.3823685319244518e-07,
                3.059021539909339e-07,
                5.715007195431641e-07
            ],
            [
                0.9999921107345933,
                0.9999987901338838,
                0.999993855823201,
                0.9999885212291427,
                0.9999251537906317,
                0.9999957771650454,
                0.9999938558232009,
                0.9999921107383551,
                0.9999921107402359,
                0.999989870009021
            ],
            [
                0.9999984465015046,
                0.9999987901347491,
                0.9999992661790195,
                0.9999962733616046,
                0.9999962733593831,
                0.999994577780384,
                0.9999989322975118,
                0.9999987901337396,
                0.9999852610162734,
                0.9999970976890529
            ],
            [
                1.7603436330091044e-06,
                8.315280276580819e-07,
                9.422449308716635e-07,
                3.7266388397721442e-06,
                7.889263526180094e-06,
                3.726638839806038e-06,
                3.7266401725681614e-06,
                2.902312677104321e-06,
                3.72664061681327e-06,
                1.5534971990126997e-06
            ],
            [
                0.999988521229138,
                0.9999938558253989,
                0.9999852610162715,
                0.9999910603047618,
                0.9999852610110006,
                0.9999957771650454,
                0.9999898700041905,
                0.9999967112501505,
                0.999991060300499,
                0.9999970976890528
            ],
            [
                1.0677027426262978e-06,
                2.1024336609255838e-07,
                2.4300246523773334e-05,
                8.939700566289352e-06,
                1.7603438428460541e-06,
                7.484621828887399e-05,
                0.09534946939781196,
                0.9875683508733397,
                0.0002034270174126353,
                2.9023133690425823e-06
            ],
            [
                2.902313023063532e-06,
                1.5534981249291695e-06,
                1.553498495308628e-06,
                1.5534975693707442e-06,
                1.0677028700320085e-06,
                1.3709573702566696e-06,
                1.5534981249496567e-06,
                3.927862470890063e-07,
                7.338210679909462e-07,
                1.5534973841705173e-06
            ],
            [
                0.999978555041362,
                0.9999339478317487,
                0.9999869928668853,
                0.999968798081195,
                0.9999930377462408,
                0.9999970976873229,
                0.9999921107383551,
                0.9999785550439195,
                0.9999910603004989,
                0.9999885212359801
            ],
            [
                0.9999974387171787,
                0.9999997897566589,
                0.9999994284996893,
                0.9999991684718733,
                0.9999982396561571,
                0.9999997617629764,
                0.9999989322972572,
                0.9999977396746244,
                0.9999990577554061,
                0.9999982396574162
            ],
            [
                1.3709573702647743e-06,
                0.9984988178915866,
                2.561282210562998e-06,
                0.9997965729298345,
                0.9990889489808104,
                0.9995694428587786,
                0.9998204719910343,
                5.043473480730849e-07,
                0.0002959570238818532,
                0.9988304900052919
            ],
            [
                6.144176065582494e-06,
                3.7266379512518984e-06,
                1.7603434231241496e-06,
                2.6995771309333195e-07,
                0.994779875413941,
                1.3709570433979422e-06,
                1.2098658277335738e-06,
                8.31528424151477e-07,
                5.715007195353674e-07,
                5.715004470272272e-07
            ],
            [
                9.931198061405701e-08,
                8.764245361752286e-08,
                3.927862470890063e-07,
                1.6373768624837685e-07,
                7.734421308872513e-08,
                1.2098652507957165e-06,
                5.043476486833397e-07,
                1.1253517547010071e-07,
                6.475947209985977e-07,
                2.699577774560111e-07
            ],
            [
                1.0129988564716393e-05,
                1.1478773598914277e-05,
                1.2098659719661556e-06,
                1.4738978457604563e-05,
                1.300712691308661e-05,
                6.962256249606473e-06,
                4.785093353909723e-06,
                7.338212429537553e-07,
                3.288748673265808e-06,
                1.760343423160973e-06
            ],
            [
                0.9999984465024306,
                0.9999974387184,
                0.9999910603058276,
                0.9999957771665557,
                0.9999967112493665,
                0.999997097686977,
                0.9999974387177893,
                0.9999986290426298,
                0.9999974387180947,
                0.999997438716568
            ],
            [
                0.999876605381012,
                0.9999339478238608,
                0.9996200154264366,
                0.9992903297092566,
                0.9997694932030217,
                0.9998204719911309,
                0.9997388096599749,
                0.9997388095665523,
                0.9997965729781864,
                0.9995694429626398
            ],
            [
                0.9999885212305063,
                0.9999967112505429,
                0.9999977396762411,
                0.9999986290429566,
                0.999964643732436,
                0.9999832985841314,
                0.9997388095669703,
                0.9999852610180293,
                0.9999945777816778,
                0.999992110737415
            ],
            [
                2.5612831266608576e-06,
                1.5534975693933505e-06,
                1.994729959270648e-06,
                7.338213304283347e-07,
                1.0677027427569065e-06,
                9.422442569290178e-07,
                2.9023109471188266e-06,
                1.2098658277335738e-06,
                1.0677032518700286e-06,
                9.422448185435711e-07
            ],
            [
                0.999985261019786,
                0.9999599363078342,
                0.9999869928653345,
                0.999999352404893,
                0.9999921107345932,
                0.9999952149060757,
                0.9999982396565769,
                0.999994577782323,
                0.9999945777790915,
                0.9999869928761884
            ],
            [
                2.561281905376098e-06,
                1.9947290081286418e-06,
                1.012999460251781e-05,
                0.9999546021151307,
                3.288749849498565e-06,
                1.6701415869924985e-05,
                4.222832437747125e-06,
                2.561281905376098e-06,
                1.3709572068478697e-06,
                2.902311293147782e-06
            ],
            [
                0.9999687980737538,
                0.9999952149049349,
                0.9999756997563714,
                0.9999967112517186,
                0.9999945777784448,
                0.9999785550592561,
                0.9999546021259631,
                0.99998987000419,
                0.9999756997650621,
                0.9999910603026306
            ],
            [
                1.2098661162023305e-06,
                4.222832941142044e-06,
                2.9023112931873767e-06,
                4.222833947820683e-06,
                4.785093353874907e-06,
                1.3709576971425944e-06,
                1.7603438428660665e-06,
                2.2603237589676295e-06,
                1.370957860567974e-06,
                2.2603242978665707e-06
            ],
            [
                0.9999921107364742,
                0.9999990577551815,
                0.9999995549151072,
                0.9999962733616045,
                0.9999967112497585,
                0.9999945777790912,
                0.999999554914895,
                0.9999989322972573,
                0.9999977396765105,
                0.9999910603047624
            ],
            [
                6.144173136952939e-06,
                1.2098655392662613e-06,
                0.00012339463309092303,
                1.3709570434054234e-06,
                2.1444956078515887e-05,
                2.1444940737257882e-05,
                2.260325375664839e-06,
                3.7266401724291984e-06,
                2.9023119850527192e-06,
                2.7535684521195802e-05
            ],
            [
                0.9999687980849155,
                1.7603438428660665e-06,
                1.7603438428564603e-06,
                1.0129989771288745e-05,
                5.422221555296344e-06,
                4.785095065132354e-06,
                6.144175334239434e-06,
                1.6701429806475863e-05,
                4.222832941034507e-06,
                2.5612816000145246e-06
            ],
            [
                0.9999785550592568,
                0.9999984465022455,
                0.9999974387168733,
                0.9999967112521109,
                0.999978555054146,
                0.999985261019786,
                0.9999898700090204,
                0.999978555041362,
                0.999988521229138,
                0.9999910603015647
            ],
            [
                0.9999980052700408,
                0.9999986290429566,
                0.9999982396561571,
                0.9999991684716749,
                0.9999987901347491,
                0.9999970976876689,
                0.9999992661790195,
                0.9999996940976636,
                0.9999996072137529,
                0.9999982396559473
            ],
            [
                0.9999485577679742,
                0.9999885212277698,
                0.9999417087066808,
                0.9999852610233023,
                0.9999957771650453,
                0.99997246431547,
                0.9999967112501507,
                0.9999898700090204,
                0.9999810748517663,
                0.9999869928653397
            ],
            [
                3.2887498494551953e-06,
                1.0129988564430787e-05,
                8.93969950101825e-06,
                1.0677024881941248e-06,
                4.222831934248571e-06,
                2.902312677084523e-06,
                7.88926352599354e-06,
                3.7266388398585725e-06,
                4.7850933538313875e-06,
                6.1441724044534996e-06
            ],
            [
                7.338211554641698e-07,
                1.99472924590571e-06,
                1.275190580884987e-07,
                3.9278624708775595e-07,
                2.699578739999358e-07,
                3.4663262110189246e-07,
                1.0677027427525368e-06,
                7.338208055536515e-07,
                5.715005151574337e-07,
                3.927862939126708e-07
            ],
            [
                0.9999785550541442,
                0.9999599362887218,
                0.9999251537816986,
                0.9999485577924913,
                0.9991959141452298,
                0.999985261014516,
                0.9990889487680352,
                0.9999952149055054,
                0.9996200154248226,
                0.9982992774620665
            ],
            [
                0.9998204719485422,
                0.9999785550439207,
                0.9999869928746372,
                0.9999885212332431,
                0.9999852610110046,
                0.9999339478395824,
                0.9999724643187523,
                0.9999646437577258,
                0.9999151889183269,
                0.9999251537549547
            ],
            [
                1.7603430034743913e-06,
                1.760343213322473e-06,
                1.7603425837494853e-06,
                3.059023727894942e-07,
                3.2887494573232236e-06,
                7.338212429504183e-07,
                1.5534979397677313e-06,
                9.422444815726566e-07,
                3.726640616748873e-06,
                4.785094494576774e-06
            ],
            [
                0.9999724643187469,
                0.9999687980923492,
                0.9999251537905948,
                0.9999251537905887,
                0.9999930377462403,
                0.9998204719910343,
                0.9999974387171787,
                0.9995121428837458,
                0.9999485577679497,
                0.9999957771650454
            ],
            [
                0.9999687980960674,
                0.9999810748427385,
                0.9999869928761919,
                0.9999485577740842,
                0.999975699750582,
                0.9999832985721839,
                0.9999921107392955,
                0.9999982396559473,
                0.9999724643154765,
                0.9999952149043646
            ],
            [
                0.9999785550413659,
                0.9999974387177895,
                0.9999485577802343,
                0.9999967112501508,
                0.9999756997592791,
                0.9999687980774756,
                0.9999967112513267,
                0.9999885212346129,
                0.9999930377462414,
                0.999995777168066
            ],
            [
                0.9999980052709918,
                0.9999810748427356,
                0.9999832985741761,
                0.9999945777797383,
                0.9999785550439183,
                0.9999945777784449,
                0.9999251537549172,
                0.9999852610215436,
                0.9999974387180947,
                0.9999785550490328
            ],
            [
                0.9997965729542871,
                0.9992903294516348,
                0.9999485577986055,
                0.9971990732812993,
                0.998674977700942,
                0.9998204719486806,
                0.9997694932848749,
                0.9992903296220755,
                0.9997965729781035,
                0.999738809784594
            ],
            [
                0.9999945777797374,
                0.9999957771650453,
                0.9997965730996858,
                0.9999485577986083,
                0.999988521234613,
                0.9999982396572065,
                0.9998911031167164,
                0.9999869928715355,
                0.9999646437492968,
                0.999997438716568
            ],
            [
                0.9999967112497584,
                0.9999967112521109,
                0.9999910603004993,
                0.999997438716568,
                0.9999945777810302,
                0.9999984465022455,
                0.9999980052693275,
                0.9999987901347491,
                0.9999986290431201,
                0.999999057755743
            ],
            [
                0.9999921107355335,
                0.9999962733620488,
                0.9999977396751633,
                0.9999952149066464,
                0.9999852610197864,
                0.9999977396754327,
                0.9999974387177893,
                0.9999984465018752,
                0.9999991684722698,
                0.9999485577986458
            ],
            [
                0.9999756997650627,
                0.9999810748495063,
                0.9999485577740872,
                0.9999885212291382,
                0.99994170874144,
                0.9999687980811974,
                0.9999485577679742,
                0.9999869928715378,
                0.9999417087136322,
                0.9999785550490333
            ],
            [
                0.9999970976880149,
                0.9999898700053976,
                0.9999724642990576,
                0.9999970976887069,
                0.9999785550439215,
                0.9999869928746369,
                0.9999962733598274,
                0.9999970976890528,
                0.9999977396757023,
                0.9999869928761874
            ],
            [
                0.9999977396762411,
                0.9999945777790911,
                0.9999984465018751,
                0.9999952149066462,
                0.9999974387171786,
                0.9999982396559473,
                0.9999885212332446,
                0.9999980052695652,
                0.9999970976866309,
                0.9999898700102282
            ],
            [
                1.5534981249023245e-06,
                7.338210680002898e-07,
                6.144172404380855e-06,
                7.33820893021171e-07,
                8.939700564890901e-06,
                3.4663270374206273e-07,
                2.382368815916736e-07,
                1.370956879949281e-06,
                2.2603248366762157e-06,
                1.3709578605617394e-06
            ],
            [
                0.9999921107383551,
                0.999995214904935,
                0.9999938558268631,
                0.9999980052705163,
                0.9999910602994336,
                0.9999994956524114,
                0.999999266179107,
                0.9999967112509348,
                0.9999980052695653,
                0.9999962733616046
            ],
            [
                0.9999938558253987,
                0.9999962733620487,
                0.999999057755743,
                0.9999986290423029,
                0.9999986290429567,
                0.9999869928653335,
                0.9999869928653348,
                0.9999930377404305,
                0.9999970976887068,
                0.9999930377412605
            ],
            [
                0.999985261021543,
                0.9999869928730869,
                0.9999832985841289,
                0.9999938558246659,
                0.9999810748517598,
                0.9999852610197857,
                0.9999938558232008,
                0.9999417087414166,
                0.9999952149032237,
                0.9999687980737526
            ],
            [
                1.2751904288710323e-07,
                1.6373770576683237e-07,
                1.2751904288710323e-07,
                3.466326624142512e-07,
                7.734417620862562e-08,
                1.4449800373098553e-07,
                1.4449807263287805e-07,
                1.855391239505118e-07,
                2.6995768091310296e-07,
                1.4449803818215767e-07
            ],
            [
                1.2098652508287273e-06,
                1.067702615468225e-06,
                1.0129988564264954e-05,
                6.962257909412379e-06,
                8.939695237959376e-06,
                7.889262584508638e-06,
                3.2887486732000038e-06,
                2.9023119851266288e-06,
                2.260325375520937e-06,
                2.2603242978213447e-06
            ],
            [
                2.9023126771227976e-06,
                6.144173869240119e-06,
                4.785093353687772e-06,
                2.902310947190096e-06,
                4.222834954607099e-06,
                2.2603237589676295e-06,
                1.7603440527046419e-06,
                2.2603234895289998e-06,
                7.338209805090567e-07,
                3.2887490653408545e-06
            ],
            [
                0.9999974387168733,
                0.9999962733589389,
                0.999997438717484,
                0.9999898700053977,
                0.9999980052700407,
                0.9999986290431201,
                0.999997438717484,
                0.9999945777784449,
                0.9999945777790911,
                0.9999485577802507
            ],
            [
                1.7603430034439723e-06,
                1.2098658277335738e-06,
                8.315283250371857e-07,
                1.3709570434054234e-06,
                1.0677027427525368e-06,
                7.338211554758494e-07,
                4.222831934321543e-06,
                2.3823693839290317e-07,
                1.7603432133032607e-06,
                8.31527928532683e-07
            ],
            [
                5.422218323399208e-06,
                6.9622579096593295e-06,
                5.422219616140078e-06,
                7.889262585814522e-06,
                1.553498124964492e-06,
                1.7603438428740716e-06,
                5.422221555340727e-06,
                7.88926634755014e-06,
                6.144175334367959e-06,
                1.6701427816728442e-05
            ],
            [
                0.9999952149032236,
                0.9999982396574162,
                0.9999992661787571,
                0.9999952149072165,
                0.9999984465024306,
                0.9999957771670589,
                0.9999898700041906,
                0.9999984465024306,
                0.9999982396561573,
                0.9999970976873229
            ],
            [
                0.9999910603026306,
                0.9999339478789813,
                0.9999687980960685,
                0.9999724643121868,
                0.999964643732433,
                0.9998911030648404,
                0.9999038975621404,
                0.9999869928684346,
                0.999972464315468,
                0.9999599363173692
            ],
            [
                5.043475284430694e-07,
                6.475949525981759e-07,
                3.4663253846316044e-07,
                1.7603432132912532e-06,
                4.450851049941403e-07,
                2.699579061798195e-07,
                6.475950297971703e-07,
                2.699577452733192e-07,
                5.715005151550947e-07,
                4.4508494582314646e-07
            ],
            [
                5.715005832872586e-07,
                1.9947304348703948e-06,
                8.315283250305684e-07,
                2.561282515988704e-06,
                1.3709575336947905e-06,
                1.7603432133136672e-06,
                4.785096205882502e-06,
                1.0677032518748838e-06,
                7.338210680002898e-07,
                4.222834451254188e-06
            ],
            [
                6.144176797730321e-06,
                3.9278610661822475e-07,
                1.4449800373065699e-07,
                3.059021175255426e-07,
                1.370957370126371e-06,
                4.450852111135988e-07,
                2.3823690999160957e-07,
                2.699579061812927e-07,
                1.6373766672888118e-07,
                3.927863875584984e-07
            ],
            [
                0.9999930377404306,
                0.9999982396559473,
                0.9999599362982653,
                0.9999989322973846,
                0.9999810748562732,
                0.9999869928730862,
                0.9998204719484429,
                0.9999810748495038,
                0.9999910603058274,
                0.9999967112493665
            ],
            [
                0.9999990577551815,
                0.9999980052702785,
                0.9999994956525918,
                0.9999995549150542,
                0.9999957771670589,
                0.9999989322967482,
                0.9999962733602719,
                0.9999984465022455,
                0.9999910603036978,
                0.9999945777790911
            ],
            [
                0.9999962733607161,
                0.9999989322968753,
                0.9999970976883609,
                0.9999986290424663,
                0.9999038975621809,
                0.9999987901343165,
                0.9999977396754327,
                0.9999992661791944,
                0.999993855823201,
                0.9999962733607161
            ],
            [
                0.9999938558232009,
                0.9999990577554061,
                0.9999852610232999,
                0.9999938558224688,
                0.9999967112493664,
                0.9999970976887068,
                0.9999952149072167,
                0.9999930377429204,
                0.9999986290423029,
                0.999999168471675
            ],
            [
                0.9999986290432835,
                0.9999810748449961,
                0.9999962733593831,
                0.9999982396559474,
                0.9999885212332462,
                0.9999938558253986,
                0.9999952149032235,
                0.9999970976880149,
                0.9999986290421394,
                0.9999945777784447
            ],
            [
                7.33821067986608e-07,
                1.4449802095609418e-07,
                1.0677024881829577e-06,
                4.1399375473868e-08,
                1.4449805540651476e-07,
                3.466327450756327e-07,
                7.338208055613267e-07,
                1.2098656834723998e-06,
                2.1024339116010604e-07,
                4.785096205651846e-06
            ]
        ]
    },
    {
        "q_id": "10542_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            29,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            3,
            17,
            28,
            30,
            66,
            67,
            117
        ],
        "rewards": [
            [
                0.999999855502048,
                0.9999998874648379,
                0.9999999123574941,
                0.9999999006880075,
                0.9999998555020306,
                0.9999997617630049,
                0.9999998144609423,
                0.9999998874648917,
                0.9999997897566589,
                0.9999996940978825
            ],
            [
                0.999999855502048,
                0.9999998362623332,
                0.999999554914789,
                0.9999999586006394,
                0.999999900688043,
                0.9999999006880312,
                0.9999998724809875,
                0.9999998724810027,
                0.9999994284992805,
                0.99999992265575
            ],
            [
                0.9999999006881496,
                0.9999999123575464,
                0.99999992265575,
                0.999999887464744,
                0.9999998724809571,
                0.9999999123575359,
                0.9999998874647574,
                0.999999789756684,
                0.9999999226557684,
                0.9999998362623528
            ],
            [
                0.9999995549149481,
                0.9999996940978461,
                0.9999997300420937,
                0.9999997897567091,
                0.9999997617631752,
                0.9999994956527721,
                0.9999994284993485,
                0.9999996940977731,
                0.9999996940976636,
                0.999999694097773
            ],
            [
                0.9999996940976272,
                0.9999997300421581,
                0.9999998874648915,
                0.9999999123575045,
                0.9999998555019446,
                0.9999999123575359,
                0.999999814460876,
                0.9999998724809419,
                0.9999996940977002,
                0.9999997300422869
            ],
            [
                0.999999855502048,
                0.9999996533673375,
                0.999999922655833,
                0.9999997897565838,
                0.9999997617631752,
                0.999999855501979,
                0.9999999634652054,
                0.9999999468421756,
                0.9999999006880904,
                0.9999998874647709
            ],
            [
                0.9999998555019274,
                0.9999998874648245,
                0.9999999317439872,
                0.9999996533673375,
                0.9999998555019446,
                0.9999999226558238,
                0.9999999006880312,
                0.9999999468421692,
                0.9999995549149481,
                0.9999998874647976
            ],
            [
                0.999999814460876,
                0.9999996940976271,
                0.9999998555019274,
                0.999999887464744,
                0.9999999006880194,
                0.9999996940976272,
                0.9999998724809115,
                0.9999998362623137,
                0.999999855502048,
                0.9999998724809875
            ],
            [
                0.9999998555019618,
                0.9999997300422225,
                0.9999997300422225,
                0.9999996533674202,
                0.999999789756634,
                0.9999997617630616,
                0.9999997300422225,
                0.99999992265575,
                0.9999999317440034,
                0.9999996533672136
            ],
            [
                0.9999999006880312,
                0.9999998874647976,
                0.9999997617631468,
                0.9999998362623137,
                0.9999997617631752,
                0.9999998555019618,
                0.9999999586006443,
                0.9999998555019446,
                0.9999998724809875,
                0.9999998724809267
            ],
            [
                0.9999999317440034,
                0.9999998724809419,
                0.9999997897566089,
                0.9999998144609202,
                0.9999997617631752,
                0.9999996072137529,
                0.9999997617631183,
                0.9999997897566089,
                0.9999998144609202,
                0.9999998874649184
            ],
            [
                0.9999998724809267,
                0.9999999006880312,
                0.999999814460876,
                0.9999993524053563,
                0.9999999226558515,
                0.9999998555019274,
                0.9999998724809571,
                0.9999999226557961,
                0.9999998874647709,
                0.999999814460854
            ],
            [
                0.9999996940976636,
                0.9999998144608319,
                0.999999855502048,
                0.9999997897566338,
                0.9999998724810027,
                0.9999993524053562,
                0.9999998144608098,
                0.9999999123575464,
                0.9999998555020306,
                0.9999998874647842
            ],
            [
                0.9999997300422225,
                0.9999999123575045,
                0.9999998724808963,
                0.9999998724809571,
                0.9999998874647574,
                0.9999997300421903,
                0.9999999123575359,
                0.9999999123575464,
                0.999999887464811,
                0.999999887464744
            ],
            [
                0.9999998555019274,
                0.9999996072138934,
                0.9999997300422225,
                0.9999997617630899,
                0.9999998144609644,
                0.9999999226558238,
                0.999999730042126,
                0.9999998874648647,
                0.9999998874647976,
                0.999999789756684
            ],
            [
                0.9999998874647842,
                0.9999997897566589,
                0.9999998555019274,
                0.9999998724808963,
                0.9999998362623332,
                0.9999999006881496,
                0.9999998724810027,
                0.9999995549148419,
                0.9999998724809267,
                0.9999996940976272
            ],
            [
                0.9999998555020307,
                0.9999998874647709,
                0.9999999006881023,
                0.9999998362622746,
                0.9999998362623528,
                0.999999855502048,
                0.9999998874647976,
                0.9999998724809875,
                0.999999855501979,
                0.9999998144608317
            ],
            [
                0.9999999123575359,
                0.9999998874648246,
                0.999999814460876,
                0.9999999397642796,
                0.9999998362622552,
                0.9999999123575359,
                0.9999997300421581,
                0.9999999226557869,
                0.9999998724809571,
                0.9999999006880194
            ],
            [
                0.9999995549149481,
                0.9999996940977002,
                0.9999996940978095,
                0.9999999123575045,
                0.99999976176309,
                0.9999996533674201,
                0.9999997617631752,
                0.9999997617630616,
                0.999999694097846,
                0.9999997617630049
            ],
            [
                0.9999999226558145,
                0.9999999006880075,
                0.9999994284997574,
                0.9999998144608538,
                0.9999996940977002,
                0.9999998555020135,
                0.9999998144608098,
                0.999999814460876,
                0.9999999006881023,
                0.9999998724808963
            ],
            [
                0.999999912357515,
                0.9999998724809875,
                0.9999998144608981,
                0.999999814460876,
                0.9999997897566089,
                0.9999999317439708,
                0.9999998724808963,
                0.9999998724810026,
                0.9999998555020135,
                0.9999998144609202
            ],
            [
                0.9999996940976272,
                0.9999997897567091,
                0.9999996940978095,
                0.9999997300422225,
                0.9999997897567091,
                0.9999996940976636,
                0.9999997617630332,
                0.9999998144608981,
                0.9999997617631184,
                0.9999992661790196
            ],
            [
                0.9999998724810026,
                0.9999998874649051,
                0.9999997897566089,
                0.9999999123575045,
                0.999999789756684,
                0.9999997300422225,
                0.999999855501979,
                0.9999997300420937,
                0.9999997617630899,
                0.9999997617630332
            ],
            [
                0.9999997300423191,
                0.9999999226557961,
                0.9999999226558329,
                0.9999997617629764,
                0.9999999006881023,
                0.9999999123575255,
                0.9999999006880668,
                0.9999998555019446,
                0.9999997897566089,
                0.9999999397643011
            ],
            [
                0.9999997617630332,
                0.9999998555019274,
                0.999999495652712,
                0.9999997617630616,
                0.9999998874648379,
                0.9999996533674201,
                0.9999998362623722,
                0.9999997300421261,
                0.9999998724809267,
                0.9999997897566089
            ],
            [
                0.9999998555019962,
                0.9999999006880668,
                0.9999999006880668,
                0.9999998144609202,
                0.9999998724809267,
                0.9999999226557961,
                0.9999999123575359,
                0.9999998724809267,
                0.9999997300422225,
                0.9999998874647709
            ],
            [
                0.9999998144609644,
                0.9999998724809723,
                0.9999999006879721,
                0.9999996072136125,
                0.9999997897565587,
                0.9999999006881259,
                0.99999976176309,
                0.9999998874648647,
                0.9999999123575045,
                0.9999999397642653
            ],
            [
                0.9999996940978461,
                0.9999998362623528,
                0.9999997897566589,
                0.9999998724810027,
                0.9999994284996211,
                0.9999999006881141,
                0.9999998874647574,
                0.9999998724809267,
                0.999999694097846,
                0.9999996940978825
            ],
            [
                0.9999996072137998,
                0.9999996940976636,
                0.9999997617630049,
                0.99999976176309,
                0.9999998724809723,
                0.9999998144609645,
                0.999999814460854,
                0.9999998555019962,
                0.9999998362622746,
                0.9999998724809571
            ],
            [
                0.9999998555019618,
                0.9999998144609645,
                0.9999997300422869,
                0.9999996940976636,
                0.9999995549150541,
                0.9999996533674615,
                0.9999999006880904,
                0.9999997617631469,
                0.9999999226557776,
                0.9999996072139402
            ],
            [
                0.9999998144609645,
                0.9999996940977366,
                0.9999996533672136,
                0.9999999123575255,
                0.9999997300422225,
                0.9999998724809875,
                0.9999998874648647,
                0.9999998555019618,
                0.9999999006880904,
                0.9999999006879721
            ],
            [
                0.9999999123575568,
                0.9999998362623332,
                0.9999999317439872,
                0.9999997617631468,
                0.9999998724809115,
                0.9999999317439953,
                0.9999999317439872,
                0.999999855502048,
                0.9999999468421629,
                0.9999999317439221
            ],
            [
                0.9999998724809571,
                0.999999730042126,
                0.9999999006879838,
                0.99999976176309,
                0.9999998362623528,
                0.9999997897565587,
                0.9999998362622552,
                0.9999998362622747,
                0.9999995549149481,
                0.999999694097773
            ],
            [
                0.9999996072137529,
                0.99999992265575,
                0.9999998362623722,
                0.9999998144609644,
                0.9999996533672549,
                0.999999855502048,
                0.999999855501979,
                0.9999998874647306,
                0.9999999006880194,
                0.9999997897567342
            ],
            [
                0.9999999006880312,
                0.9999997897566338,
                0.999999694097846,
                0.9999995549149481,
                0.9999995549149481,
                0.999998446502801,
                0.999999814460876,
                0.9999996533672962,
                0.9999996072136125,
                0.999999855501979
            ],
            [
                0.9999998362623137,
                0.9999999530883843,
                0.9999999006881022,
                0.9999998555020307,
                0.9999999226557776,
                0.9999999226557131,
                0.9999999123575359,
                0.9999994956527721,
                0.999999814460876,
                0.9999998144608319
            ],
            [
                0.9999998555019618,
                0.9999999006880075,
                0.9999997300423191,
                0.9999998362622943,
                0.999999789756684,
                0.9999998724809571,
                0.999999814460854,
                0.9999998362623332,
                0.999999855502048,
                0.9999999397642868
            ],
            [
                0.999999912357515,
                0.9999996533672962,
                0.9999997300422869,
                0.9999996072136125,
                0.9999996533672549,
                0.9999998874647842,
                0.9999997897566089,
                0.9999996533675028,
                0.9999996533674201,
                0.99999976176309
            ],
            [
                0.9999996533673788,
                0.9999998144608538,
                0.9999997617630616,
                0.9999998362622747,
                0.9999997617629764,
                0.9999998555019274,
                0.9999996940978825,
                0.9999996940978825,
                0.9999996072138465,
                0.9999992661789321
            ],
            [
                0.9999998874648514,
                0.9999998724809571,
                0.9999998144608538,
                0.9999994956527721,
                0.9999997897567091,
                0.9999997300422225,
                0.9999996533672962,
                0.9999996072139402,
                0.9999998555019618,
                0.9999997300421903
            ],
            [
                0.999999730042126,
                0.9999998724809419,
                0.9999998362623137,
                0.9999995549149481,
                0.9999998555020307,
                0.9999999226557684,
                0.9999998724809875,
                0.9999998362623332,
                0.9999998555020307,
                0.99999976176309
            ],
            [
                0.9999995549148419,
                0.9999998874647709,
                0.9999998144608981,
                0.9999999006880075,
                0.9999998362622943,
                0.999999900688043,
                0.999999855501979,
                0.9999998362623722,
                0.9999998724808963,
                0.9999994956524115
            ],
            [
                0.999999887464905,
                0.999999789756634,
                0.9999999006880668,
                0.9999996940977366,
                0.999999730042126,
                0.9999999317439708,
                0.9999996940978461,
                0.999999855501979,
                0.9999996940978095,
                0.999999855501979
            ],
            [
                0.999999900688043,
                0.9999998724809875,
                0.9999999397642796,
                0.999999931743979,
                0.9999999397642796,
                0.9999999530883675,
                0.9999998874648379,
                0.999999912357515,
                0.9999999317439465,
                0.9999998555019274
            ],
            [
                0.9999996940977002,
                0.9999997897565587,
                0.9999999006880194,
                0.999999855502048,
                0.9999998874648379,
                0.9999998724809875,
                0.9999997300421903,
                0.9999998144609645,
                0.999999931743979,
                0.9999997300422547
            ],
            [
                0.9999998555020306,
                0.9999998874648514,
                0.9999997617631184,
                0.9999996533674615,
                0.9999996533674615,
                0.9999998144609202,
                0.9999997617631468,
                0.9999994956523514,
                0.9999997897566338,
                0.999999900688043
            ],
            [
                0.9999999123575359,
                0.9999998362622747,
                0.9999998724809571,
                0.99999995308839,
                0.9999997897566338,
                0.9999993524053562,
                0.9999999317439708,
                0.9999998144608319,
                0.9999999006880785,
                0.999999814460876
            ],
            [
                0.9999998362622943,
                0.999999694097846,
                0.9999999226558146,
                0.999999912357515,
                0.9999995549147889,
                0.9999999468421629,
                0.999999730042126,
                0.9999999006879957,
                0.9999998724808963,
                0.9999997897567091
            ],
            [
                0.9999999006881141,
                0.999999814460876,
                0.999999789756684,
                0.9999999226558237,
                0.9999999123575359,
                0.9999999226557684,
                0.999999855501979,
                0.9999999226558237,
                0.999999912357515,
                0.9999999397642868
            ],
            [
                0.9999997897565587,
                0.9999997300422869,
                0.999999730042319,
                0.9999998724810026,
                0.9999998724809267,
                0.9999998144608319,
                0.9999997897566089,
                0.9999998362622747,
                0.9999997617631752,
                0.9999997300423191
            ],
            [
                0.9999999226558053,
                0.9999999006880904,
                0.9999996940977366,
                0.9999998874649318,
                0.9999999006880668,
                0.9999998724809267,
                0.9999996940978825,
                0.9999998555020135,
                0.9999999468421629,
                0.999999789756684
            ],
            [
                0.9999999317439708,
                0.9999998724809723,
                0.9999999006880549,
                0.9999996072136592,
                0.9999998555020306,
                0.9999999123575045,
                0.9999999226557684,
                0.9999999123574419,
                0.9999997897565838,
                0.9999999317439708
            ],
            [
                0.9999994956524114,
                0.9999994284994167,
                0.999999912357515,
                0.9999995549150011,
                0.9999997897566589,
                0.9999999006880194,
                0.9999997897566089,
                0.999999855501979,
                0.9999998362622552,
                0.9999996533674614
            ],
            [
                0.999999912357515,
                0.9999998144609645,
                0.9999997897567341,
                0.9999996940977001,
                0.9999998874648379,
                0.9999999006880194,
                0.9999998555019962,
                0.9999999123574941,
                0.9999999634651879,
                0.9999998362622943
            ],
            [
                0.9999998724808964,
                0.9999990577556308,
                0.9999996940976272,
                0.9999997300420939,
                0.9999999317439464,
                0.9999986290426298,
                0.9999999123575881,
                0.9999998724809267,
                0.9999999123575881,
                0.9999999006880549
            ],
            [
                0.9999998724809723,
                0.999999855501979,
                0.9999999226557961,
                0.9999997300420937,
                0.9999999226558237,
                0.9999998874648514,
                0.999999789756684,
                0.9999997897566338,
                0.9999998724809571,
                0.9999998724809419
            ],
            [
                0.9999998362622747,
                0.999999931743979,
                0.9999999123575045,
                0.9999998724809267,
                0.9999999226557961,
                0.9999999397642653,
                0.9999999468421439,
                0.9999998874647306,
                0.9999998724809723,
                0.9999999226558053
            ],
            [
                0.9999998362622746,
                0.9999998724809875,
                0.9999999006880549,
                0.9999998144609423,
                0.9999999226557592,
                0.9999997897566089,
                0.9999998362622942,
                0.9999998724810027,
                0.9999999006880549,
                0.9999998555019962
            ],
            [
                0.999999855501979,
                0.9999998724809419,
                0.9999998144609423,
                0.9999998555019963,
                0.9999998362623137,
                0.9999998724808963,
                0.9999999123575359,
                0.9999998144609644,
                0.9999999226558237,
                0.9999999397643011
            ],
            [
                0.9999996072138934,
                0.9999998724810027,
                0.9999999006880668,
                0.9999994956526519,
                0.999999495652712,
                0.9999996940976636,
                0.9999998362622747,
                0.9999997300422225,
                0.9999998724808963,
                0.9999997617630899
            ],
            [
                0.9999999397642653,
                0.9999999123575045,
                0.9999998724809419,
                0.999999855502048,
                0.9999998555020134,
                0.9999998555019963,
                0.9999999226557776,
                0.9999999006880904,
                0.999999730042319,
                0.9999998724809875
            ],
            [
                0.9999999006879957,
                0.9999998555019274,
                0.9999999317439953,
                0.9999997897565587,
                0.9999998874648514,
                0.9999998555019618,
                0.9999998724810027,
                0.9999998874648379,
                0.9999997897567341,
                0.9999998362622552
            ],
            [
                0.9999998555019446,
                0.9999996533673375,
                0.9999998362623528,
                0.9999998362623138,
                0.9999997300421903,
                0.9999999123575464,
                0.9999999006880312,
                0.9999996940978095,
                0.9999998362622357,
                0.9999996940978461
            ],
            [
                0.9999999006880194,
                0.9999998724810026,
                0.9999997617630616,
                0.999999814460854,
                0.9999999397642868,
                0.9999998724809723,
                0.9999997897566089,
                0.999999939764294,
                0.999999855502048,
                0.9999998362623722
            ],
            [
                0.9999997617630332,
                0.9999999006880194,
                0.9999997300422869,
                0.9999998144609202,
                0.9999995549149481,
                0.9999997897566589,
                0.9999999226557961,
                0.9999999468421692,
                0.9999997897566089,
                0.999999855501979
            ],
            [
                0.9999999123574419,
                0.9999999006880075,
                0.9999999123574732,
                0.9999998724809267,
                0.9999998144609202,
                0.9999998874648647,
                0.9999999123575464,
                0.9999997897566338,
                0.9999998362622552,
                0.9999999123574523
            ],
            [
                0.9999996533672136,
                0.9999998144608097,
                0.9999998874648245,
                0.9999997897566589,
                0.9999999006879721,
                0.9999996940978825,
                0.9999998874647842,
                0.9999995549147889,
                0.9999998555020134,
                0.9999999006880549
            ],
            [
                0.9999997897566589,
                0.9999998362623722,
                0.9999997897567342,
                0.9999995549150011,
                0.9999996940977001,
                0.9999996533673375,
                0.9999998874649051,
                0.9999998724808963,
                0.9999999006879957,
                0.9999999006881496
            ],
            [
                0.9999999006879721,
                0.9999998724809267,
                0.9999999226558053,
                0.9999999397642653,
                0.9999999468421883,
                0.9999998874648245,
                0.9999999317439464,
                0.9999997617630332,
                0.9999998874648245,
                0.9999998874647574
            ],
            [
                0.9999997300421903,
                0.9999998724809115,
                0.999999694097846,
                0.9999997617631184,
                0.9999998362622552,
                0.9999999123575464,
                0.9999998724809723,
                0.9999996940978825,
                0.9999999123575255,
                0.9999998874647709
            ],
            [
                0.9999996940978095,
                0.9999997617630049,
                0.9999996072136125,
                0.9999996533672549,
                0.999999855501979,
                0.9999999006880549,
                0.9999998144608981,
                0.9999995549150542,
                0.999999789756684,
                0.9999998724809723
            ],
            [
                0.9999996533672135,
                0.9999999317439872,
                0.9999997300421903,
                0.9999999226558145,
                0.9999997300422225,
                0.9999998724808963,
                0.9999997897566589,
                0.9999999006880668,
                0.9999999226557224,
                0.9999998724809723
            ],
            [
                0.999999855501979,
                0.9999997617629764,
                0.9999999123574836,
                0.9999998724809115,
                0.9999998362622357,
                0.9999999123575045,
                0.999999730042126,
                0.9999998874648245,
                0.9999999123574732,
                0.9999998362622552
            ],
            [
                0.9999997897566589,
                0.9999997617631184,
                0.9999998874648917,
                0.9999998144609644,
                0.9999998555020307,
                0.9999994284993486,
                0.999999887464744,
                0.9999999123575568,
                0.9999998362623332,
                0.9999998144608317
            ],
            [
                0.999999931743979,
                0.9999998144609423,
                0.9999997617631752,
                0.9999998724808963,
                0.9999997300420937,
                0.9999998555019618,
                0.9999998724809116,
                0.9999998362622357,
                0.9999997617630332,
                0.9999998144609423
            ],
            [
                0.9999992661787571,
                0.9999998724809875,
                0.9999998362623332,
                0.9999996072139402,
                0.9999997617631752,
                0.9999997617631752,
                0.9999996940977002,
                0.9999997617630049,
                0.9999997300421903,
                0.9999998362622357
            ],
            [
                0.9999997617631752,
                0.9999998555020306,
                0.9999998555019446,
                0.9999998362623528,
                0.9999999226557316,
                0.999999730042319,
                0.9999998362622552,
                0.9999999123575255,
                0.9999999006881496,
                0.9999996940977366
            ],
            [
                0.9999998724809571,
                0.9999998144608538,
                0.9999998144608097,
                0.9999999226557869,
                0.9999999468421567,
                0.999999730042126,
                0.9999999006880785,
                0.9999998724809571,
                0.9999997617630048,
                0.9999998724810027
            ],
            [
                0.9999998724809571,
                0.9999999468421756,
                0.9999996940976636,
                0.9999998144608319,
                0.9999999468421439,
                0.9999998362623528,
                0.9999998724810027,
                0.9999996940976271,
                0.9999998555020135,
                0.9999997617629764
            ],
            [
                0.9999998362623137,
                0.9999998724809723,
                0.9999999226558053,
                0.9999996940976272,
                0.9999999317439953,
                0.9999997300422869,
                0.999999887464744,
                0.9999998874647976,
                0.9999998362623332,
                0.9999998362623528
            ],
            [
                0.9999999397642725,
                0.9999998724809116,
                0.9999999123574628,
                0.9999997300422225,
                0.9999999006880194,
                0.9999996940978095,
                0.9999998555020135,
                0.999999730042319,
                0.9999999123574941,
                0.999999855502048
            ],
            [
                0.9999997617630049,
                0.9999998555019791,
                0.9999998362623332,
                0.999999900688043,
                0.9999999006881377,
                0.9999999226557592,
                0.9999999006879957,
                0.999999912357515,
                0.9999999006880549,
                0.999999922655833
            ],
            [
                0.9999998555020307,
                0.9999999006880312,
                0.9999997617629764,
                0.9999998724809115,
                0.9999998362622942,
                0.9999999468421756,
                0.9999998724809571,
                0.9999999006880194,
                0.9999997617630899,
                0.9999998362622943
            ],
            [
                0.9999997300421903,
                0.9999998724809419,
                0.9999997300421581,
                0.9999996072138934,
                0.9999999226557869,
                0.9999999317439953,
                0.9999999468421756,
                0.999999939764294,
                0.9999999677581567,
                0.9999999006880312
            ],
            [
                0.9999998144609645,
                0.9999998144609202,
                0.9999999006881141,
                0.9999997617631469,
                0.99999976176309,
                0.9999996940978825,
                0.9999995549147358,
                0.9999996072137529,
                0.9999998724809723,
                0.9999997617631752
            ],
            [
                0.9999998144608097,
                0.9999998362623138,
                0.999999900688043,
                0.9999998362623138,
                0.9999997897566089,
                0.9999994956523514,
                0.9999998724809267,
                0.999999554914789,
                0.9999996533672962,
                0.9999998874647976
            ],
            [
                0.9999996940978825,
                0.9999997897567342,
                0.99999992265575,
                0.9999999226557316,
                0.9999999317440034,
                0.9999999123574419,
                0.9999997897566589,
                0.9999998144608097,
                0.9999999226558237,
                0.99999976176309
            ],
            [
                0.9999998362623722,
                0.9999997300421581,
                0.9999999006880312,
                0.9999997897565587,
                0.9999998144609644,
                0.9999999317439139,
                0.9999998874647842,
                0.9999997897566589,
                0.9999998724809419,
                0.9999998724809723
            ],
            [
                0.9999997300420937,
                0.9999998362623332,
                0.9999998362622552,
                0.9999998555019274,
                0.9999996533674201,
                0.9999996940978461,
                0.9999999006880668,
                0.9999998555019963,
                0.9999992661792819,
                0.9999996940976636
            ],
            [
                0.9999998362623528,
                0.9999996072137061,
                0.9999996940976636,
                0.9999998362622943,
                0.999999887464905,
                0.9999997300421903,
                0.9999996072138935,
                0.9999999123575881,
                0.9999999006880075,
                0.9999998724809875
            ],
            [
                0.9999997617630048,
                0.999999730042126,
                0.9999997617630899,
                0.9999996072139402,
                0.9999997300421581,
                0.9999998555020307,
                0.9999998874648379,
                0.9999996072137061,
                0.9999997300422547,
                0.9999998144609645
            ],
            [
                0.9999997617631184,
                0.999999814460854,
                0.9999998555019618,
                0.999999855501979,
                0.9999998874648514,
                0.9999998724809723,
                0.9999996940977731,
                0.9999998874647842,
                0.9999999123575464,
                0.9999998724808963
            ],
            [
                0.9999995549151073,
                0.9999999397642293,
                0.9999999006880904,
                0.9999998362623528,
                0.9999998144609645,
                0.9999998724809723,
                0.999999887464811,
                0.999999814460854,
                0.999999900688043,
                0.9999998874647441
            ],
            [
                0.9999999468421692,
                0.9999997897565587,
                0.9999997897566089,
                0.9999998874649318,
                0.999999789756634,
                0.9999999123574523,
                0.9999998724809267,
                0.9999998555019618,
                0.999999855501979,
                0.9999997617629764
            ],
            [
                0.9999998362623528,
                0.9999996533672136,
                0.999999352404893,
                0.9999998724810027,
                0.9999996533674614,
                0.9999998555020135,
                0.9999999006880549,
                0.9999998555020306,
                0.9999995549148419,
                0.9999997617629763
            ],
            [
                0.999999855501979,
                0.9999996940978095,
                0.9999998144608981,
                0.999999789756634,
                0.9999997300420937,
                0.9999998362623723,
                0.999999789756684,
                0.9999999226557592,
                0.9999998362623723,
                0.9999996072137061
            ],
            [
                0.9999998724809723,
                0.9999999226557684,
                0.9999999123575464,
                0.999999887464744,
                0.999999789756684,
                0.9999999123575464,
                0.9999999397642868,
                0.9999998362622747,
                0.9999999123575672,
                0.9999997897567341
            ],
            [
                0.999999855501979,
                0.9999999397643011,
                0.999999789756684,
                0.9999997300421903,
                0.9999999397642725,
                0.9999998874647709,
                0.999999887464811,
                0.9999997300422869,
                0.9999997897566089,
                0.9999999586005949
            ],
            [
                0.9999999468421756,
                0.9999998144608538,
                0.9999999123575045,
                0.9999998362623528,
                0.9999996533672962,
                0.9999999530883396,
                0.9999998724809116,
                0.9999997617630616,
                0.9999998362622552,
                0.9999997617629763
            ],
            [
                0.9999996940977731,
                0.9999998362622552,
                0.9999998724809723,
                0.9999998724809723,
                0.9999997300422225,
                0.9999998724809116,
                0.9999998362622357,
                0.9999996940976636,
                0.9999997897566589,
                0.9999998362623723
            ],
            [
                0.9999999123575464,
                0.9999999317439953,
                0.9999999317439302,
                0.9999998874648245,
                0.99999992265575,
                0.9999999123574628,
                0.9999999317439708,
                0.9999999226558329,
                0.999999855502048,
                0.9999998144609423
            ],
            [
                0.9999999226557776,
                0.9999999006880785,
                0.9999995549150011,
                0.999999814460854,
                0.9999998874647709,
                0.9999999317439464,
                0.9999999006880668,
                0.9999999123575255,
                0.99999976176309,
                0.9999997897567091
            ],
            [
                0.9999999123575255,
                0.9999997617631469,
                0.9999998555019274,
                0.9999998724809267,
                0.9999997300420937,
                0.9999998362623722,
                0.9999996072137061,
                0.9999998144608538,
                0.999999855501979,
                0.9999998362623332
            ],
            [
                0.9999998555019962,
                0.9999998362622746,
                0.9999998874649318,
                0.9999997897566089,
                0.9999998724809419,
                0.9999998555019274,
                0.9999998874648245,
                0.9999999123574732,
                0.9999997897566089,
                0.9999998874647842
            ],
            [
                0.9999996533672135,
                0.9999998874648514,
                0.9999999397642725,
                0.9999999226558237,
                0.9999996072137998,
                0.9999996940978461,
                0.9999998724809723,
                0.9999996533675028,
                0.9999999123575777,
                0.9999998874648647
            ],
            [
                0.999999900688043,
                0.9999998144609423,
                0.9999999226558515,
                0.9999998555019618,
                0.9999996533674615,
                0.9999998362623528,
                0.9999998555020307,
                0.9999998874649318,
                0.9999999397642508,
                0.999999855502048
            ],
            [
                0.9999997300422225,
                0.9999999317439872,
                0.9999996533674202,
                0.9999996940978095,
                0.9999998724809723,
                0.9999994956525918,
                0.9999997617630616,
                0.9999998144609202,
                0.9999999006881259,
                0.9999995549151073
            ],
            [
                0.9999997897566589,
                0.9999998362623528,
                0.9999996940977001,
                0.9999996940978825,
                0.9999996533672549,
                0.9999996533672136,
                0.9999996533674202,
                0.9999997617630049,
                0.999998446502801,
                0.9999996533672135
            ],
            [
                0.9999998874648112,
                0.999999554914895,
                0.9999996072137998,
                0.9999998874647574,
                0.9999998144609202,
                0.9999998724809419,
                0.9999994956527721,
                0.9999996072139402,
                0.9999997897566589,
                0.9999997300420939
            ],
            [
                0.9999998724809419,
                0.9999998144609202,
                0.9999998144608538,
                0.9999998362623528,
                0.9999999317439627,
                0.9999999006880668,
                0.9999998362622357,
                0.999999789756634,
                0.999999855501979,
                0.9999998874647306
            ],
            [
                0.9999999317439464,
                0.9999999006879838,
                0.9999999397642653,
                0.9999998555019274,
                0.9999998724809116,
                0.9999999006881259,
                0.9999998874648514,
                0.999999855502048,
                0.9999999123574628,
                0.99999992265575
            ],
            [
                0.9999998724810027,
                0.999999887464811,
                0.9999998144608097,
                0.9999999006880312,
                0.9999998874648379,
                0.9999997300421903,
                0.999999855501979,
                0.9999997897565587,
                0.9999998144608098,
                0.9999999226558145
            ],
            [
                0.9999998724809267,
                0.999999900688043,
                0.9999999397642365,
                0.9999998144608981,
                0.9999998555019618,
                0.9999999123575359,
                0.9999998874648648,
                0.9999998362622942,
                0.9999998874647306,
                0.9999999397642796
            ],
            [
                0.9999997897566589,
                0.9999997300422547,
                0.9999994284996891,
                0.9999995549151073,
                0.9999994284993485,
                0.9999996533674201,
                0.9999998724809571,
                0.9999999006880075,
                0.9999999006881022,
                0.9999997897566589
            ],
            [
                0.9999996533674202,
                0.9999998362623528,
                0.9999997897567342,
                0.9999997897567341,
                0.9999998362623137,
                0.9999994284994167,
                0.9999994284997573,
                0.9999998555019962,
                0.9999996940976271,
                0.9999997617630616
            ],
            [
                0.9999998724808964,
                0.9999998144609202,
                0.9999998362623528,
                0.99999976176309,
                0.9999998362623137,
                0.9999998555020307,
                0.9999999226557869,
                0.999999939764294,
                0.9999999006881259,
                0.9999998874647842
            ],
            [
                0.9999998362623332,
                0.999999694097846,
                0.9999999123575464,
                0.999999912357515,
                0.9999998362622552,
                0.9999999468421122,
                0.9999998874648245,
                0.999999931743979,
                0.9999998724809875,
                0.9999999468421692
            ],
            [
                0.9999996940978095,
                0.9999998724809875,
                0.9999997897567091,
                0.9999997300420939,
                0.9999998362623723,
                0.999999900688043,
                0.9999997617630049,
                0.9999999006879957,
                0.9999999530883228,
                0.9999998144609645
            ],
            [
                0.9999998724809723,
                0.9999997617631752,
                0.999999855501979,
                0.9999994956525917,
                0.9999997300422225,
                0.999999814460854,
                0.9999997300420937,
                0.9999998724809267,
                0.9999997300422868,
                0.9999998144608319
            ],
            [
                0.9999997897566338,
                0.9999998724810027,
                0.9999998874648514,
                0.9999998555019446,
                0.999999900688043,
                0.9999998724809115,
                0.9999998362623137,
                0.9999999317440034,
                0.9999998724809571,
                0.9999998874647842
            ],
            [
                0.999999814460854,
                0.9999997897565838,
                0.9999998555019618,
                0.9999998362622942,
                0.9999997897566338,
                0.9999998555020307,
                0.9999998555019274,
                0.9999997300421903,
                0.9999997897565838,
                0.9999997617630616
            ],
            [
                0.9999999468421376,
                0.9999999226557776,
                0.9999999530883843,
                0.9999997300422547,
                0.9999997617631183,
                0.9999998874648245,
                0.9999999530883564,
                0.999999694097773,
                0.9999997897567341,
                0.9999999006880194
            ],
            [
                0.9999999317439872,
                0.9999998555019274,
                0.9999998874649184,
                0.9999997897566089,
                0.9999999226557961,
                0.9999996940978825,
                0.9999998362622357,
                0.9999997897565587,
                0.9999999123574941,
                0.9999999006880075
            ],
            [
                0.999999939764294,
                0.9999998362623528,
                0.9999998362623137,
                0.9999998724809723,
                0.9999999123574941,
                0.999999855502048,
                0.9999999006880904,
                0.9999998555020306,
                0.9999999123575359,
                0.9999999468421249
            ],
            [
                0.9999998555019446,
                0.9999997897566089,
                0.9999998555019618,
                0.9999999397642796,
                0.9999998555020135,
                0.9999998555020135,
                0.9999998144609423,
                0.9999999006880194,
                0.9999998555020307,
                0.999999855502048
            ],
            [
                0.9999997897567341,
                0.9999999006880194,
                0.9999998144609202,
                0.9999998362622552,
                0.9999998724809723,
                0.9999999123574941,
                0.9999998724809267,
                0.9999997300420937,
                0.9999995549150542,
                0.9999997300422869
            ],
            [
                0.9999998362623528,
                0.9999997897566338,
                0.9999998362622943,
                0.9999998362623528,
                0.9999996940977731,
                0.9999989322971299,
                0.9999998555019274,
                0.999999730042126,
                0.999999814460876,
                0.9999997897565838
            ],
            [
                0.9999998362622552,
                0.9999999123574941,
                0.9999998724809875,
                0.9999999006880668,
                0.9999998724808964,
                0.9999998362623722,
                0.9999998362622942,
                0.9999999006880785,
                0.9999998874647709,
                0.9999998362623332
            ]
        ]
    },
    {
        "q_id": "10559_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999417087415732,
                0.9999599362888706,
                0.9999687980849966,
                0.9999546021151896,
                0.9999646437535513,
                0.9999485578048138,
                0.999968798092467,
                0.9998766053962621,
                0.9999251537818761,
                0.9999485577680525
            ],
            [
                4.006368260595596e-05,
                0.00010889687021476549,
                4.539785779269366e-05,
                5.8291279404102564e-05,
                2.144495352533148e-05,
                2.7535704224732304e-05,
                6.6052121039017e-05,
                0.00015843625365725506,
                4.006371129120346e-05,
                0.00026119027582329716
            ],
            [
                3.535625070624499e-05,
                1.473898197063434e-05,
                2.753568124348506e-05,
                0.9999952149049366,
                0.9999967112493672,
                5.144221971634078e-05,
                0.9999967112517197,
                1.1478769493331685e-05,
                0.9999984465028016,
                3.5356267555952205e-05
            ],
            [
                1.0129988564099116e-05,
                4.0063692183734794e-05,
                6.605212891156267e-05,
                2.4300240729754152e-05,
                1.670141586949968e-05,
                7.889261645090304e-06,
                8.939695238089467e-06,
                4.006367785146321e-05,
                4.5397863224112544e-05,
                2.4300232041998833e-05
            ],
            [
                0.0006263342971803487,
                8.481101096529726e-05,
                6.605212891684883e-05,
                0.0001398220737675486,
                4.539785780805251e-05,
                2.7535691097454142e-05,
                6.605214462205646e-05,
                3.120190764716959e-05,
                3.120191136774608e-05,
                8.9396941718352e-06
            ],
            [
                0.00010889692216847163,
                4.539788484641129e-05,
                5.829126551991333e-05,
                3.120191135991401e-05,
                2.1444953525877587e-05,
                6.605217613916744e-05,
                1.4738983728490028e-05,
                0.0006263340715772233,
                0.0001088968951862592,
                8.481104126512805e-05
            ],
            [
                9.610242621495249e-05,
                4.539785780309804e-05,
                5.144220137401424e-05,
                1.8925157262578186e-05,
                4.539785238406597e-05,
                3.120190764467241e-05,
                7.889260704531226e-06,
                8.481102102348735e-05,
                0.9999832985741958,
                2.7535681245588654e-05
            ],
            [
                4.5397863224112544e-05,
                2.1444950965906214e-05,
                3.5356238062828204e-05,
                4.006367784548767e-05,
                9.61024261562222e-05,
                0.00013982202375603826,
                1.8925141469950998e-05,
                3.535626334323525e-05,
                0.0001398221398060431,
                2.430023783309869e-05
            ],
            [
                5.144223205029401e-05,
                2.1444958632714784e-05,
                1.8925143728301937e-05,
                2.1444950968441685e-05,
                0.0001398220403526234,
                4.539786860136322e-05,
                4.785096776394765e-06,
                4.539786321436876e-05,
                5.8291279378656556e-05,
                4.0063692179945426e-05
            ],
            [
                4.5397879429522924e-05,
                6.962256249517824e-06,
                7.88926258532661e-06,
                4.78509392429544e-06,
                1.147876812538911e-05,
                8.93969950101825e-06,
                7.889262585728421e-06,
                2.4300243627117176e-05,
                8.939695237959376e-06,
                1.300713466619476e-05
            ],
            [
                1.3007123812057577e-05,
                4.222833444506298e-06,
                6.962256249606473e-06,
                8.93969630348202e-06,
                7.889260704308795e-06,
                2.1444948411552198e-05,
                2.753568452790729e-05,
                1.0129989771823107e-05,
                1.89251482372248e-05,
                1.147876538789672e-05
            ],
            [
                0.9999930377429238,
                0.0002034270197448399,
                2.7535697654881812e-05,
                4.006368740256958e-05,
                0.00020342694756489505,
                1.6701429807630274e-05,
                2.1444950968441685e-05,
                5.8291279382897555e-05,
                1.670141786036971e-05,
                0.00029595723759669694
            ],
            [
                4.0063711278232147e-05,
                5.144223815074485e-05,
                4.00636778475281e-05,
                7.484624500496053e-05,
                5.144222589407736e-05,
                0.00033535022641388286,
                0.00029595723642560914,
                3.120191135991401e-05,
                0.99999743871779,
                0.00010889687014821711
            ],
            [
                2.4300232038197563e-05,
                6.9622579095833456e-06,
                8.939699501132077e-06,
                2.7535691095550887e-05,
                0.00029595713257769086,
                6.962257079465052e-06,
                7.889262585082652e-06,
                4.006368258117931e-05,
                4.785092783415276e-06,
                3.2887490653408545e-06
            ],
            [
                4.0063696955427154e-05,
                7.484624496248661e-05,
                1.1478773599102191e-05,
                2.4300249421932663e-05,
                6.605214463743442e-05,
                7.889265406681968e-06,
                2.1444956078515887e-05,
                4.539789028064095e-05,
                1.3007134666644292e-05,
                8.939695238333382e-06
            ],
            [
                3.1201900207380036e-05,
                0.9999952149072179,
                0.9999952149060783,
                0.00023050662914031285,
                3.535626333809042e-05,
                2.4300232036606334e-05,
                0.9999967112513277,
                0.9999910603058351,
                0.00010889694809859163,
                0.9999957771655501
            ],
            [
                0.00017952798682632757,
                2.753569765908901e-05,
                0.00013982210674915566,
                0.00013982202379876052,
                1.1478773598538445e-05,
                2.1444945853375776e-05,
                6.605215247874642e-05,
                4.5397874044343825e-05,
                2.4300243623139103e-05,
                2.4300252315495453e-05
            ],
            [
                7.48462271838889e-05,
                0.00017952802996101694,
                1.1478772230407462e-05,
                0.00026119040051841743,
                0.9999962733602724,
                2.4300243626409964e-05,
                0.0003353500260600441,
                0.999992110734597,
                0.9999938558261331,
                0.9999869928684378
            ],
            [
                0.00029595709598121095,
                1.892515500450102e-05,
                0.00023050665919473792,
                5.829128636782753e-05,
                0.0001398221068203595,
                2.4300243624818735e-05,
                4.53978794604058e-05,
                3.535626755428014e-05,
                0.9999910603047647,
                0.0002611902135821544
            ],
            [
                2.1444948412137308e-05,
                4.0063711285810896e-05,
                8.481106153145476e-05,
                2.7535694380675497e-05,
                1.892515500808112e-05,
                0.0001233945601004819,
                2.7535704227537108e-05,
                2.1444953524161264e-05,
                1.892514824021969e-05,
                4.53978686205205e-05
            ],
            [
                3.120190392795564e-05,
                7.88926258532661e-06,
                1.6701423834591316e-05,
                6.144175333926503e-06,
                1.01299946023704e-05,
                1.473898197063434e-05,
                4.785092783319532e-06,
                1.892514147046736e-05,
                1.8925141467679015e-05,
                2.7535684533717236e-05
            ],
            [
                0.9999970976869789,
                0.9999989322967483,
                0.9999962733616082,
                0.9999987901344614,
                0.9999974387177898,
                0.999998239656997,
                0.9999952149060763,
                0.9999970976890542,
                1.0129987355988324e-05,
                6.96225707894582e-06
            ],
            [
                9.610238047666152e-05,
                0.9999970976880155,
                5.144220136091472e-05,
                1.892515726357648e-05,
                0.9999930377429255,
                0.9999952149037952,
                6.605212097077738e-05,
                4.5397857790051276e-05,
                3.53562506982705e-05,
                0.9999945777803869
            ],
            [
                4.539789028064095e-05,
                2.4300252317882297e-05,
                0.9999962733598279,
                3.5356246487099006e-05,
                2.4300243625614346e-05,
                0.00020342692303532148,
                4.0063687390327e-05,
                0.00020342701953766435,
                3.535626333641835e-05,
                0.0001233945453458395
            ],
            [
                1.47389819699641e-05,
                1.4738988995409548e-05,
                1.1478765387667046e-05,
                1.6701423833831836e-05,
                1.8925150495232307e-05,
                2.4300232039788792e-05,
                4.0063711285810896e-05,
                1.0129990979215566e-05,
                2.4300243628620005e-05,
                5.422218969601935e-06
            ],
            [
                0.00669285247525209,
                0.9890130562865705,
                2.1444943297072005e-05,
                8.481102103150874e-05,
                4.785093353787868e-06,
                7.889260704732132e-06,
                1.8925143728749452e-05,
                7.889263525893087e-06,
                3.5356267569843254e-05,
                0.18242551491653522
            ],
            [
                0.9990889488792971,
                0.9999724643187624,
                0.9998601779426032,
                0.9999546021422125,
                5.144221973879711e-05,
                3.120191880379252e-05,
                0.0005527785420891782,
                0.999373665833365,
                0.00026119036985380867,
                6.605216814791757e-05
            ],
            [
                5.422217677028889e-06,
                6.962258739169842e-06,
                2.7535681248693975e-05,
                1.6701419851270353e-05,
                1.4738981970956057e-05,
                1.300712536258383e-05,
                8.939700566907275e-06,
                2.1444953522913026e-05,
                0.9959298627654396,
                8.93970056668775e-06
            ],
            [
                1.4738988999377379e-05,
                3.5356246471407274e-05,
                1.892515500663531e-05,
                1.670141985166528e-05,
                4.785096205973894e-06,
                3.535626335108113e-05,
                1.670142781432848e-05,
                1.6701419851270353e-05,
                1.3007134665130082e-05,
                1.4738987241494252e-05
            ],
            [
                6.144172390550411e-06,
                9.610244918898165e-05,
                2.4300252313904224e-05,
                6.605214458361157e-05,
                0.9999852610145235,
                2.4300234937239182e-05,
                2.1444940741392653e-05,
                2.1444945854624007e-05,
                4.0063696957321844e-05,
                5.144223201267966e-05
            ],
            [
                0.9999930377404328,
                0.9999599363174215,
                0.9999885212264035,
                0.9999485578048636,
                0.9999785550490427,
                0.9999785550567233,
                0.9999339478475732,
                0.9999646437578229,
                0.9999810748449972,
                0.999903897596964
            ],
            [
                1.8925143726890553e-05,
                0.9996646497353594,
                3.535624227875767e-05,
                1.147877086073156e-05,
                7.889261644982674e-06,
                1.6701429807630274e-05,
                1.4738985483879434e-05,
                6.144172404218801e-06,
                0.9998415638215679,
                1.8925143726890553e-05
            ],
            [
                0.9999785550413981,
                0.9997694932589319,
                0.9998204720145267,
                0.9999756997621831,
                0.9999910603036979,
                0.9999852610233098,
                0.9999885212264057,
                0.9997965729559682,
                0.9999930377437514,
                0.9999810748450095
            ],
            [
                0.9999952149060765,
                0.9999970976873236,
                2.1444948412722418e-05,
                1.67014238321306e-05,
                3.5356259116499136e-05,
                0.0002959571282033349,
                2.4300237828943813e-05,
                0.9999984465022458,
                0.9999974387168735,
                0.9999984465018755
            ],
            [
                0.9968273171972779,
                0.999769493205168,
                0.9959298630466907,
                4.539787945561647e-05,
                0.9992903295610652,
                8.939696304116203e-06,
                1.300712691308661e-05,
                0.9997694933690287,
                1.8925157262578186e-05,
                4.006368262300812e-05
            ],
            [
                4.0063682630732606e-05,
                0.9999038975624012,
                7.889266347636241e-06,
                1.0129990979547237e-05,
                2.430024073125698e-05,
                0.9994472214521223,
                0.999704042798242,
                1.1478772229781076e-05,
                0.9989677689642055,
                0.9986749773592624
            ],
            [
                0.00020342697141375216,
                1.0129993394129904e-05,
                0.999997097687324,
                4.539786860136322e-05,
                0.9999977396762412,
                0.9999974387187082,
                0.9999980052705167,
                0.9999967112505442,
                0.9999967112505433,
                9.610241477233725e-05
            ],
            [
                1.8925148239290237e-05,
                4.539787401263522e-05,
                4.006371124922888e-05,
                2.7535700945316292e-05,
                1.0129993394959082e-05,
                6.962258739530771e-06,
                2.4300243627117176e-05,
                5.829125856806564e-05,
                1.8925148238291944e-05,
                1.473897670007122e-05
            ],
            [
                4.006369696286016e-05,
                3.1201926246083686e-05,
                0.00010889690911072151,
                4.006370649866785e-05,
                3.1201900203407254e-05,
                3.535625492217596e-05,
                3.1201911358551906e-05,
                7.48462272100267e-05,
                4.006370650260296e-05,
                1.670141786231398e-05
            ],
            [
                6.60521366932833e-05,
                2.1444945836212564e-05,
                1.1478766756653273e-05,
                1.4738976699749503e-05,
                0.9999910603068978,
                1.4738980213020151e-05,
                1.1478770861859053e-05,
                0.9999869928730944,
                0.9999599363079285,
                5.1442232038504445e-05
            ],
            [
                7.889263525893087e-06,
                1.4738976697229395e-05,
                3.120190392534495e-05,
                1.3007133115667397e-05,
                8.93970056668775e-06,
                6.96225956921868e-06,
                1.1478765388105516e-05,
                1.4738980213020151e-05,
                3.1201911358551906e-05,
                1.6701417861584877e-05
            ],
            [
                1.4738985482351282e-05,
                3.120190019932095e-05,
                7.484626288702458e-05,
                0.9999957771665564,
                5.144223203551027e-05,
                0.9999832985702132,
                0.999989870005405,
                2.4300246524568948e-05,
                0.9999945777816773,
                4.5397879445707534e-05
            ],
            [
                2.1444945855248125e-05,
                1.8925143725341476e-05,
                1.3007133115667397e-05,
                3.120192623972722e-05,
                1.670142383495587e-05,
                1.1478772229300848e-05,
                2.753569109454917e-05,
                2.753569437476538e-05,
                1.3007133114886634e-05,
                2.7535697661092444e-05
            ],
            [
                1.4738988998787566e-05,
                2.43002320236113e-05,
                5.1442193705181066e-05,
                3.1201922525618933e-05,
                4.539787402650773e-05,
                0.00012339453017107404,
                4.539785780309804e-05,
                8.481104112136025e-05,
                5.8291251573808804e-05,
                2.7535697661092444e-05
            ],
            [
                4.0063687409856826e-05,
                1.8925141469950998e-05,
                4.0063692132141055e-05,
                1.1478773598099973e-05,
                4.0063706494441236e-05,
                1.4738978456398127e-05,
                4.539786320396437e-05,
                1.670141985245514e-05,
                2.4300249416363357e-05,
                4.222833444467892e-06
            ],
            [
                5.8291279411736364e-05,
                1.6701415868193372e-05,
                1.8925143725892257e-05,
                1.4738978456049602e-05,
                0.9999785550413756,
                7.484626281133387e-05,
                0.0002959572351167462,
                2.144494840687132e-05,
                2.1444945855248125e-05,
                1.892514372737249e-05
            ],
            [
                5.8291265491498626e-05,
                0.00012339456005200597,
                0.00017952794393195324,
                0.0003353501830941238,
                0.9999957771670653,
                0.9999967112513274,
                0.00015843615858681702,
                7.484626289355904e-05,
                0.0002611903374412831,
                2.4300240725599276e-05
            ],
            [
                0.0001088969091899458,
                7.484623609088468e-05,
                4.006369217003476e-05,
                4.5397874046655906e-05,
                0.9999898700114396,
                0.9999970976887079,
                0.9999970976890533,
                0.9999970976880156,
                9.610246068613626e-05,
                0.9999952149060775
            ],
            [
                0.9999756997505934,
                0.9999885212332462,
                0.9999885212359824,
                0.9999756997621856,
                0.9997965730525298,
                0.9999852610180346,
                0.9999810748585407,
                0.9999687980849362,
                0.9999852610127654,
                0.9999910603015678
            ],
            [
                0.9999898700066161,
                4.0063687394553603e-05,
                3.120191507912884e-05,
                5.8291265491498626e-05,
                8.481108171572136e-05,
                0.0006263340138648088,
                5.829129330780371e-05,
                3.535626756251187e-05,
                8.481107160692766e-05,
                1.8925145980732218e-05
            ],
            [
                1.4738987242432592e-05,
                2.7535687801010546e-05,
                1.4738983727256784e-05,
                1.473898899846585e-05,
                8.9396941718352e-06,
                1.8925145982866508e-05,
                1.670142383495587e-05,
                1.892515049423401e-05,
                3.7266379512518984e-06,
                1.4738976698757546e-05
            ],
            [
                6.605212888657352e-05,
                4.006369216143581e-05,
                1.0129992187105678e-05,
                0.0001584362919141207,
                7.484624503218738e-05,
                5.144222587386666e-05,
                4.5397852378781204e-05,
                3.120191508321514e-05,
                1.892515049423401e-05,
                0.00020342699628073167
            ],
            [
                7.484625392611642e-05,
                9.610238046617398e-05,
                2.753568781022632e-05,
                2.7535704220525098e-05,
                3.535625070624499e-05,
                5.1442219784084046e-05,
                3.5356250704701545e-05,
                4.006370650070828e-05,
                0.00043055713517159254,
                9.610238048784824e-05
            ],
            [
                5.14422075023447e-05,
                0.9999546021097749,
                4.539787944306515e-05,
                2.1444950969026795e-05,
                5.144220136765162e-05,
                2.1444950959977102e-05,
                1.6701419851270353e-05,
                2.1444940741392653e-05,
                0.9997694932034241,
                0.9999251537819083
            ],
            [
                2.1444958638526877e-05,
                0.9933071478095563,
                0.9989677688322777,
                0.24508500761839527,
                9.610246073717569e-05,
                0.06754668738548217,
                2.4300249420429837e-05,
                0.9796676449506523,
                0.9978172836662155,
                7.889259764079887e-06
            ],
            [
                1.670142980726572e-05,
                1.0129989770662257e-05,
                1.4738987239698005e-05,
                1.8925148237775583e-05,
                1.670142980687079e-05,
                2.4300249422639878e-05,
                1.6701419850845044e-05,
                2.144495096723246e-05,
                2.1444945853999886e-05,
                1.0129992186939844e-05
            ],
            [
                5.144219522921654e-05,
                1.0129992186774007e-05,
                4.222832940942332e-06,
                1.8925145983795953e-05,
                2.4300240728958537e-05,
                4.539788485433845e-05,
                2.144494329496561e-05,
                2.4300249416363357e-05,
                5.144222590043998e-05,
                2.7535691098355687e-05
            ],
            [
                0.9999921107374187,
                2.7535684528909006e-05,
                4.539785779269366e-05,
                3.120192624233791e-05,
                4.006367783922064e-05,
                0.9999832985761816,
                5.144222585927004e-05,
                5.1442207499350526e-05,
                3.5356267555952205e-05,
                6.60521682560438e-05
            ],
            [
                1.89251482372248e-05,
                0.9999984465028012,
                5.144221975938208e-05,
                0.9999982396561574,
                3.535625067383256e-05,
                0.9999984465018752,
                0.00012339458916451132,
                0.9999921107402409,
                0.999996711249759,
                2.1444945854624007e-05
            ],
            [
                3.726641061085547e-06,
                0.008577484550444523,
                0.3486451285660856,
                1.3007125363057018e-05,
                8.939698434966738e-06,
                5.422219616085833e-06,
                0.03732688332823795,
                0.00460957192725484,
                6.96225956921868e-06,
                3.120192623972722e-05
            ],
            [
                3.1201922525618933e-05,
                1.670142781560441e-05,
                1.1478770862067849e-05,
                1.892514824021969e-05,
                1.012998977198894e-05,
                1.4738980215111302e-05,
                2.7535684529910724e-05,
                6.605215251574962e-05,
                0.999925153781942,
                8.481104127376647e-05
            ],
            [
                7.889261644760245e-06,
                1.670141984792864e-05,
                6.9622562492265485e-06,
                2.1444950966608343e-05,
                1.0129987357020188e-05,
                2.7535704221626983e-05,
                7.889263526180094e-06,
                2.144495096785658e-05,
                1.3007130015299356e-05,
                3.1201922531407855e-05
            ],
            [
                0.9999974387177903,
                7.484621830139833e-05,
                4.006370650464339e-05,
                2.7535691096552598e-05,
                0.9999970976876694,
                5.8291244683457274e-05,
                0.9999910603015741,
                7.484624505832518e-05,
                0.9999945777823255,
                0.9999898700090281
            ],
            [
                1.147877359872636e-05,
                1.8925152752999112e-05,
                2.1444948411552198e-05,
                1.4738988998117324e-05,
                2.4300232039788792e-05,
                4.785094494628999e-06,
                4.785095065132354e-06,
                1.670141786231398e-05,
                6.9622587396067566e-06,
                1.0129992186939844e-05
            ],
            [
                0.999997097689054,
                0.9999974387187099,
                0.9999987901346051,
                0.9999977396746252,
                0.9999974387187059,
                0.9999984465028011,
                0.9999980052695656,
                2.7535691080725503e-05,
                0.9999986290423031,
                0.9999982396565771
            ],
            [
                5.144220137700842e-05,
                3.1201922523121745e-05,
                1.4738987241494252e-05,
                1.6701415867707307e-05,
                6.962258739271155e-06,
                6.962255419570695e-06,
                2.753569109254574e-05,
                4.006367785525258e-05,
                2.1444948410928083e-05,
                1.8925148238291944e-05
            ],
            [
                1.6701419850845044e-05,
                0.9999869928762022,
                5.8291286335171815e-05,
                3.12019225102953e-05,
                0.00013982214046315286,
                0.0002305066588459697,
                0.000123394589256077,
                4.539786859839053e-05,
                7.889261644982674e-06,
                7.484621819303545e-05
            ],
            [
                0.07585817584273653,
                0.014063625144950642,
                2.4300252317086683e-05,
                0.020332353120047154,
                0.1066905996264336,
                0.04208772701447818,
                0.2227001285074597,
                0.010986945109984892,
                0.0024726229332402744,
                0.015906393023865786
            ],
            [
                1.0129990978847043e-05,
                1.1478764018827141e-05,
                4.785094494628999e-06,
                1.4738987239698005e-05,
                2.7535691097454142e-05,
                7.8892625849535e-06,
                1.473898372822193e-05,
                1.8925143725892257e-05,
                1.473897670007122e-05,
                4.539789026296999e-05
            ],
            [
                4.0063696951637786e-05,
                4.00637112677385e-05,
                3.120192624233791e-05,
                5.8291265499980624e-05,
                0.9999930377420924,
                3.1201900204769344e-05,
                7.484620034419881e-05,
                0.00023050665879231308,
                1.4738976698757546e-05,
                7.484620933559467e-05
            ],
            [
                1.670142184171555e-05,
                6.605216823009351e-05,
                1.6701425824733193e-05,
                1.8925155007633607e-05,
                1.8925145983795953e-05,
                1.4738987240475486e-05,
                3.120191508820951e-05,
                2.4300252315495453e-05,
                8.939697368842181e-06,
                1.8925145980732218e-05
            ],
            [
                1.0129988564264954e-05,
                1.6701417861584877e-05,
                1.3007126913583456e-05,
                1.473898021366358e-05,
                1.3007123810638006e-05,
                2.1444958638526877e-05,
                1.147876538789672e-05,
                2.753569108924008e-05,
                3.5356238059741304e-05,
                2.4300240728958537e-05
            ],
            [
                0.9999970976876694,
                0.9999980052709925,
                2.753570423024174e-05,
                1.670141985245514e-05,
                7.889263525663481e-06,
                0.9999980052700413,
                0.9999967112517201,
                0.999998239657417,
                0.9999982396569971,
                0.9999970976866324
            ],
            [
                1.0129989771473008e-05,
                8.939695237959376e-06,
                7.484623611103256e-05,
                3.120191508060445e-05,
                2.430023493485234e-05,
                6.962255419804982e-06,
                2.7535681240079227e-05,
                0.9986749772996456,
                8.93969736942758e-06,
                1.892515275165658e-05
            ],
            [
                0.9999910603037047,
                0.9999885212305096,
                0.999876605470197,
                0.9998204720354723,
                0.9999724643155298,
                0.9998911031172772,
                0.9998911030526081,
                0.9999546021315122,
                0.9997388096627943,
                0.9999910603047645
            ],
            [
                0.00015843619756748776,
                0.0002034270189694115,
                4.0063706508432764e-05,
                0.9999485577864038,
                2.430024941371131e-05,
                0.0002034270212542617,
                5.1442219756013625e-05,
                3.120192252437034e-05,
                0.00029595719945023504,
                2.144495352474637e-05
            ],
            [
                8.481105141464207e-05,
                0.9999945777829704,
                1.670142781560441e-05,
                3.1201900203407254e-05,
                4.5397890254712545e-05,
                4.0063706483364614e-05,
                1.8925148237775583e-05,
                3.5356246487099006e-05,
                2.7535704221626983e-05,
                4.5397863198349305e-05
            ],
            [
                0.9999938558224692,
                2.4300240725599276e-05,
                2.1444956082767684e-05,
                7.48462271838889e-05,
                2.1444953521586782e-05,
                0.9999898700054058,
                9.610240343739553e-05,
                0.9999962733620515,
                0.9999952149032251,
                1.6701415868193372e-05
            ],
            [
                1.8925148239290237e-05,
                1.3007134664822509e-05,
                1.8925155002710973e-05,
                1.0129994601872894e-05,
                1.4738985482753428e-05,
                1.473897670007122e-05,
                8.939695238089467e-06,
                1.4738987240100149e-05,
                1.1478770861441461e-05,
                4.006370171895837e-05
            ],
            [
                7.484621826927065e-05,
                0.9999930377445904,
                8.481106126736618e-05,
                0.9999952149049364,
                0.0007096704161075112,
                0.9999970976883615,
                0.9999980052702788,
                1.8925152748558416e-05,
                0.9999967112493677,
                0.0008040860914546524
            ],
            [
                0.0001233945303972951,
                4.006370171895837e-05,
                5.829128634789482e-05,
                4.006367785146321e-05,
                0.9999957771670601,
                5.144222589108318e-05,
                2.753568452790729e-05,
                0.999996273359828,
                1.0129994602057158e-05,
                0.9999957771660534
            ],
            [
                6.144172404520556e-06,
                0.05340332885823078,
                0.03308598124894904,
                0.0035936024797094193,
                0.9982992777063662,
                1.8925145983348442e-05,
                0.09534946104307895,
                0.9980732655269614,
                0.06754669254743426,
                0.04208773257151255
            ],
            [
                4.539786863769599e-05,
                1.473898899908247e-05,
                5.14422074608005e-05,
                8.481103089225071e-05,
                1.6701427813872793e-05,
                7.484623602717382e-05,
                3.535626333088765e-05,
                7.484626283311537e-05,
                1.670141985245514e-05,
                0.0001233945893781646
            ],
            [
                7.484626281841286e-05,
                5.8291258521838744e-05,
                2.4300232033865884e-05,
                1.6701421843720577e-05,
                8.939700566435704e-06,
                1.1478769493916314e-05,
                2.4300232034838305e-05,
                3.1201903922734266e-05,
                1.6701425825492673e-05,
                9.610243748836994e-05
            ],
            [
                1.8925141470949294e-05,
                6.144173137014406e-06,
                6.144173137014406e-06,
                1.6701421843356024e-05,
                1.670142383167491e-05,
                5.144220139179215e-05,
                1.892514146884943e-05,
                1.670141785237998e-05,
                2.144494841326852e-05,
                1.6701421843720577e-05
            ],
            [
                0.999995214906076,
                0.9999930377420924,
                0.9999785550413804,
                0.9999869928653368,
                0.999738809600956,
                0.9999724643023706,
                0.999986992876196,
                0.9999810748450062,
                0.9998415638224669,
                0.9999832985821441
            ],
            [
                2.1444958638526877e-05,
                4.00636778475281e-05,
                1.6701421844085127e-05,
                4.5397879432165314e-05,
                8.93969630388855e-06,
                2.1444958638526877e-05,
                1.012999339449843e-05,
                4.006368740052914e-05,
                0.9999546021314201,
                5.1442195212374294e-05
            ],
            [
                0.9999962733616068,
                0.9999938558246664,
                0.999993855826865,
                0.9999930377404331,
                0.9999898700041947,
                0.9999957771670599,
                6.605216035177641e-05,
                0.00026119030876019115,
                0.00017952790050735195,
                0.00020342706977773863
            ],
            [
                0.9999599362983224,
                4.0063682618927264e-05,
                0.999088948780274,
                0.9999646437451162,
                0.9999967112501508,
                0.9999785550439455,
                0.9997965730531276,
                0.9999785550490567,
                0.9999151889186434,
                0.9999869928731121
            ],
            [
                0.9998766054258917,
                0.9999646437535679,
                0.9999724643089167,
                0.9999646437451138,
                0.9999810748472637,
                0.9999546021368871,
                0.9999885212346179,
                0.9999898700114365,
                0.9999756997476992,
                0.9999546021423179
            ],
            [
                3.120190764966677e-05,
                0.00012339456003405188,
                9.610238048784824e-05,
                6.605212102411961e-05,
                5.144220749598207e-05,
                0.00010889690877481047,
                8.481102100559352e-05,
                4.006370649866785e-05,
                6.605216034600967e-05,
                0.00020342704504097475
            ],
            [
                1.8925145983795953e-05,
                1.4738981968462759e-05,
                2.144495352533148e-05,
                2.4300232038197563e-05,
                8.939698435226916e-06,
                3.535624649468763e-05,
                1.300712846361323e-05,
                1.147876402018431e-05,
                2.144494073796001e-05,
                2.144494329496561e-05
            ],
            [
                0.9999938558261325,
                2.7535681245588654e-05,
                1.6701415722920083e-05,
                1.6701421841259862e-05,
                9.610239186473745e-05,
                3.120190392409636e-05,
                3.535625913206225e-05,
                7.48462360489553e-05,
                2.4300252317086683e-05,
                1.300713466619476e-05
            ],
            [
                8.93970056565517e-06,
                5.422221555192784e-06,
                1.0129989771823107e-05,
                8.93969630362837e-06,
                6.962254589332388e-06,
                1.6701425824733193e-05,
                1.300713466619476e-05,
                2.4300252315495453e-05,
                6.962254588977791e-06,
                2.4300234934056724e-05
            ],
            [
                2.144494074201677e-05,
                1.670141586949968e-05,
                8.939695238333382e-06,
                0.9999756997506508,
                1.6701423832586287e-05,
                0.00048785716884815027,
                2.753569766560016e-05,
                3.5356238059741304e-05,
                9.610244927358124e-05,
                2.4300246522270504e-05
            ],
            [
                2.4300240731964193e-05,
                2.144495608046625e-05,
                0.0005527787292496998,
                8.48110614210065e-05,
                9.610244925260613e-05,
                0.00010889687016247747,
                8.48110715112881e-05,
                0.0002305067681714051,
                0.9999945777810323,
                0.9999977396746244
            ],
            [
                1.4738988999672284e-05,
                3.120191136774608e-05,
                2.430023783530873e-05,
                7.889260704732132e-06,
                1.0129992187400498e-05,
                1.1478765388711023e-05,
                2.4300243626409964e-05,
                5.422218969769604e-06,
                1.1478765388711023e-05,
                2.144495608222158e-05
            ],
            [
                5.829125857569945e-05,
                5.14422075117015e-05,
                7.484626284672882e-05,
                4.539785780557527e-05,
                0.9999974387187058,
                4.539787403938935e-05,
                0.9999974387177896,
                0.9999977396746247,
                0.9999945777829714,
                1.0129994880734497e-05
            ],
            [
                2.1444940742640888e-05,
                6.605213671058347e-05,
                1.3007131564643372e-05,
                1.3007125360146898e-05,
                1.1478773598099973e-05,
                1.892515500663531e-05,
                2.7535704220525098e-05,
                4.0063682618927264e-05,
                6.144176066353646e-06,
                1.6701419853184244e-05
            ],
            [
                1.3007128463873485e-05,
                6.605212103421139e-05,
                1.8925152752586028e-05,
                2.7535681246690542e-05,
                4.539789027816371e-05,
                1.6701415868649062e-05,
                4.006370171677219e-05,
                0.00020342702033085072,
                0.00010889690829471121,
                1.8925148238808306e-05
            ],
            [
                2.1444950965282096e-05,
                1.3007123811513407e-05,
                5.829127229957719e-05,
                0.00017952794382224897,
                4.0063687394553603e-05,
                1.473898021366358e-05,
                0.00017952789943904155,
                7.484620937425679e-05,
                4.539789027320923e-05,
                0.0002959570260431976
            ],
            [
                0.9999869928761935,
                0.9999417087555961,
                0.9999151889591329,
                0.9998766053682664,
                0.999981074854044,
                0.9999885212332477,
                0.9999038976207134,
                0.9999952149066466,
                0.9999038976202141,
                0.9999852610215582
            ],
            [
                0.9999962733593841,
                0.9999962733602725,
                0.999996711249367,
                0.9999982396572068,
                0.9999982396563672,
                0.9999967112505438,
                0.9999938558224772,
                0.9999974387177899,
                0.9999970976880163,
                0.999998790134605
            ],
            [
                1.6701417859519093e-05,
                4.5397884859458064e-05,
                1.4738981971250963e-05,
                3.5356254914330094e-05,
                8.481107131383868e-05,
                2.1444956081636468e-05,
                6.144177531599359e-06,
                7.484621828233953e-05,
                2.7535691095550887e-05,
                0.00013982210689156329
            ],
            [
                0.9999938558276019,
                4.006369694347607e-05,
                0.00010889692193555215,
                0.9999785550541728,
                4.539785235268768e-05,
                0.9999885212291488,
                3.535626334645077e-05,
                2.1444940742640888e-05,
                0.9999945777803869,
                0.9999810748517747
            ],
            [
                1.6701419850845044e-05,
                1.147877223059538e-05,
                0.9999885212264139,
                1.1478772230198667e-05,
                0.0001398220405906475,
                0.9999885212359862,
                4.539789028295303e-05,
                2.430024941459533e-05,
                0.9999930377420938,
                0.9999785550439443
            ],
            [
                1.1478764019328247e-05,
                1.670141985245514e-05,
                1.4738983728490028e-05,
                4.539788484641129e-05,
                8.939699500636112e-06,
                1.473898899846585e-05,
                1.0129988564430787e-05,
                1.3007131564643372e-05,
                2.7535700941409604e-05,
                6.14417313680765e-06
            ],
            [
                0.9999339478555922,
                3.535624227734284e-05,
                2.753568453191415e-05,
                2.4300243627117176e-05,
                4.0063701703217896e-05,
                1.8925141472773765e-05,
                1.8925148238808306e-05,
                2.7535704224732304e-05,
                1.892514372479069e-05,
                1.8925155006118952e-05
            ],
            [
                5.1442238118931704e-05,
                3.1201903931474406e-05,
                8.4811031131658e-05,
                7.484622717680992e-05,
                3.53562675670136e-05,
                1.8925150489517924e-05,
                0.9999921107345964,
                1.3007134665413997e-05,
                0.9999970976869776,
                0.0004878571651867212
            ],
            [
                0.9999967112521118,
                1.8925141468298646e-05,
                0.9999984465028012,
                0.9999962733602737,
                3.120190020204515e-05,
                0.9999984465024306,
                0.9999970976890535,
                1.8925152749659986e-05,
                0.9999984465028013,
                0.9999967112509365
            ],
            [
                1.4738978456398127e-05,
                2.4300243627117176e-05,
                1.1478764019996392e-05,
                3.120192251336002e-05,
                1.892515275165658e-05,
                2.144495608222158e-05,
                2.430023493052066e-05,
                2.430024941804299e-05,
                6.962255419804982e-06,
                7.889260704308795e-06
            ],
            [
                1.0129995809929273e-05,
                2.1444948410928083e-05,
                6.144176066672166e-06,
                7.889259763728304e-06,
                1.1478768124783601e-05,
                6.962253759486771e-06,
                1.8925152752138513e-05,
                2.4300252313020203e-05,
                7.889260704631679e-06,
                1.4738985482351282e-05
            ],
            [
                0.9999945777803891,
                4.0063682625048554e-05,
                0.9999974387171794,
                0.9999990577554064,
                0.9999984465018759,
                0.9999987901341725,
                0.9999962733598291,
                0.9999977396746257,
                0.9999984465015053,
                3.120190391410763e-05
            ],
            [
                0.9999957771650465,
                2.7535694377870696e-05,
                0.9999977396751637,
                8.481102105680693e-05,
                0.9999938558254001,
                0.0001584362531501142,
                0.9999982396569974,
                0.9999990577552939,
                1.1478765388314311e-05,
                0.9999986290424667
            ],
            [
                1.1478766757049986e-05,
                0.9999546021260537,
                5.144221364340114e-05,
                1.8925157262578186e-05,
                1.1478766756444477e-05,
                0.9999724643122028,
                8.481103114893482e-05,
                2.1444956079842134e-05,
                6.144176799227922e-06,
                0.0002611903672015291
            ],
            [
                0.9999251537730127,
                0.9999832985821574,
                0.9999910603058294,
                0.9999339478476361,
                0.9999910603026361,
                0.9999898700054012,
                0.9999885212264047,
                0.9999869928746413,
                0.9999938558239355,
                0.9999785550516044
            ],
            [
                2.4300249421932663e-05,
                0.9999921107345974,
                0.9999832985801554,
                3.535626333641835e-05,
                2.4300252304268445e-05,
                0.00010889692190544692,
                0.9999970976866319,
                3.5356267560968415e-05,
                0.999995214907218,
                0.00015843615988694095
            ],
            [
                2.4300252316291068e-05,
                1.4738976700366126e-05,
                0.9978172838873085,
                0.9996646498942863,
                2.7535687813231466e-05,
                1.4738985484871391e-05,
                1.1478770859624945e-05,
                3.288748673360027e-06,
                6.962256249682458e-06,
                5.144221364340114e-05
            ],
            [
                0.9999810748427554,
                0.9999038975743849,
                0.9999724643089434,
                0.9999962733616056,
                0.9999938558224711,
                0.9999885212291413,
                0.9999869928668987,
                0.9999869928715404,
                0.9999967112505431,
                0.999933947863375
            ],
            [
                4.006367783922064e-05,
                4.5397868635383903e-05,
                1.8925141470949294e-05,
                4.006367784548767e-05,
                2.1444943296369872e-05,
                3.5356250696598434e-05,
                4.006370172507966e-05,
                8.481107159890629e-05,
                2.430023204129162e-05,
                9.610246065397443e-05
            ],
            [
                0.9999151889487236,
                0.9998911030910572,
                0.9982992779777442,
                0.9980732649171414,
                0.9997694932583484,
                0.9999724643155489,
                0.999903897539346,
                0.9999151889589181,
                0.9998766054698289,
                0.999841563823087
            ],
            [
                6.1441746016670885e-06,
                1.1478770862067849e-05,
                1.892515500560259e-05,
                0.00020342692397944955,
                0.00010889696078082307,
                1.8925148236123232e-05,
                1.30071315640992e-05,
                1.892515274614874e-05,
                8.48110109233393e-05,
                0.0001233945893440519
            ],
            [
                0.999993855825401,
                5.422218323349895e-06,
                0.9999957771655511,
                0.9999885212359998,
                0.999993855826865,
                0.9999952149043689,
                0.9999938558232035,
                1.4738976700661033e-05,
                0.9999869928715626,
                0.9999930377412639
            ],
            [
                0.9999982396561601,
                4.0063696959216535e-05,
                0.9999986290427935,
                1.6701421840804172e-05,
                0.9999984465028013,
                2.144494074076854e-05,
                0.999996273362053,
                0.9999970976887079,
                8.48110614210065e-05,
                0.9999970976873236
            ],
            [
                7.484624508282935e-05,
                2.144495096723246e-05,
                2.4300234936443568e-05,
                4.0063696951637786e-05,
                2.1444958635523312e-05,
                3.120191508820951e-05,
                5.8291286355952725e-05,
                2.4300252316291068e-05,
                7.484620044711632e-05,
                0.999993855827597
            ],
            [
                0.9999970976880158,
                7.484620934212912e-05,
                3.1201918806289706e-05,
                4.006369695353247e-05,
                0.9999962733602731,
                0.999997438718708,
                0.00010889690913765778,
                2.4300252317086683e-05,
                5.8291251620035695e-05,
                0.999997438718706
            ],
            [
                5.144223201604811e-05,
                2.1444950970119003e-05,
                0.9999885212332553,
                0.9999921107383638,
                0.9999952149060763,
                7.484624503872184e-05,
                0.9999970976869783,
                2.4300243625614346e-05,
                2.7535700938304286e-05,
                0.9999962733593845
            ],
            [
                0.00010889690909804562,
                4.006369217615605e-05,
                0.9999945777797411,
                2.753568779580163e-05,
                0.9999869928730905,
                3.535625492359079e-05,
                2.753569437266178e-05,
                0.9999898700078167,
                6.605216824595201e-05,
                2.4300234937946394e-05
            ]
        ]
    },
    {
        "q_id": "10576_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            55,
            56,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                3.726639727994339e-06,
                2.9023130230133794e-06,
                4.785095064819011e-06,
                6.962253758916883e-06,
                5.422220257026851e-06,
                1.670141585731762e-05,
                6.962257079376403e-06,
                7.889266346746518e-06,
                5.422220261948442e-06,
                3.7266406163624873e-06
            ],
            [
                0.9997388097321714,
                0.9997040429720107,
                0.02297737162445238,
                0.047425875533713246,
                0.5926665999540698,
                0.46879062662624377,
                0.9998204720776458,
                0.5621765008857982,
                0.3208213138121609,
                0.6224593312018546
            ],
            [
                0.9999756997679662,
                0.9997388097221476,
                0.9996646500105861,
                0.999704042901401,
                0.05340332885823078,
                0.9996646497184802,
                0.999769493312555,
                0.34864513533394575,
                0.9990889488895226,
                0.9999339478553674
            ],
            [
                3.1201926243586504e-05,
                1.8925148224556773e-05,
                2.2603248366762157e-06,
                1.0129987353832463e-05,
                2.4300252309307336e-05,
                3.1201907642061724e-05,
                1.0129993391531815e-05,
                3.2887498494282754e-06,
                6.605212100345552e-05,
                1.8925155003330605e-05
            ],
            [
                2.2603251060985603e-06,
                7.889259763469998e-06,
                1.6701417859519093e-05,
                4.78509506425325e-06,
                1.9947306725868575e-06,
                2.144495860197702e-05,
                5.422217676397663e-06,
                6.144173868670137e-06,
                2.9023126769050284e-06,
                8.939693104637921e-06
            ],
            [
                1.4738983726184394e-05,
                1.0677029972522599e-06,
                1.9947299592570416e-06,
                4.222832940834793e-06,
                2.5612828212909852e-06,
                9.422449308241022e-07,
                1.9947306726213275e-06,
                1.994729483666479e-06,
                2.9023119850210436e-06,
                1.3007134665130082e-05
            ],
            [
                0.9999921107336527,
                0.9999832985821381,
                0.9999151889284097,
                0.999981074844992,
                0.9998911030647778,
                0.99996879808864,
                0.9999832985841337,
                0.9986749773893019,
                0.9999151889691621,
                0.9999251537549879
            ],
            [
                4.450852110981151e-07,
                4.222831933104063e-06,
                2.9023133689317184e-06,
                5.71500651413193e-07,
                1.553498495308628e-06,
                1.553498310118888e-06,
                1.2098658277082653e-06,
                5.715003107619008e-07,
                3.288750241374845e-06,
                1.5534983100425914e-06
            ],
            [
                0.14804720179063335,
                0.9999810748562757,
                0.9999810748450761,
                0.5926665999540697,
                0.9998911030778838,
                0.9999151889587262,
                0.9999832985721844,
                0.9997694932308292,
                0.999915188938579,
                0.20181322946142374
            ],
            [
                0.9997040429366628,
                1.994729959160889e-06,
                0.9990889487907644,
                0.00048785711174121363,
                0.037326885068457556,
                0.9995121428334225,
                0.320821300824607,
                0.9998415638223355,
                0.04742587048482809,
                1.8925148203902373e-05
            ],
            [
                7.889260703462123e-06,
                3.7266406163624873e-06,
                6.962257077033528e-06,
                3.7266383954560706e-06,
                7.889262585082652e-06,
                4.785096205582214e-06,
                1.2098656835136636e-06,
                4.222834954561012e-06,
                7.88925976359915e-06,
                1.0129992181743666e-05
            ],
            [
                5.422220262195015e-06,
                9.422445938728576e-07,
                7.889260703619978e-06,
                6.962257079059797e-06,
                1.147876675548402e-05,
                2.260324836624822e-06,
                1.2098656834834034e-06,
                6.144173868781898e-06,
                6.144176065012512e-06,
                1.1478768124324254e-05
            ],
            [
                0.2689414272294874,
                0.5,
                0.9994472213241329,
                0.0758581763650499,
                0.9986749773823698,
                0.4687906266262437,
                0.1824255304737224,
                0.1480471999111614,
                0.679178692681616,
                0.37754066879814546
            ],
            [
                1.1478765341502444e-05,
                1.9947306725669014e-06,
                1.3007125357804606e-05,
                8.939699498099386e-06,
                2.5612828203475515e-06,
                3.726639283901856e-06,
                5.422218322763051e-06,
                3.2887498492518007e-06,
                1.3709568799106278e-06,
                1.7603425836678333e-06
            ],
            [
                1.3007126906036072e-05,
                4.785093923847183e-06,
                1.0129990978847043e-05,
                4.785096776251149e-06,
                8.93969630317306e-06,
                8.939695223535811e-06,
                5.4222202624563834e-06,
                1.0129989770662257e-05,
                5.42222090821551e-06,
                1.1478770859917257e-05
            ],
            [
                1.5534973841705173e-06,
                2.2603234892298883e-06,
                3.2887502412970765e-06,
                1.0677029972920738e-06,
                8.315282258590015e-07,
                6.962259569117366e-06,
                3.726639283440905e-06,
                1.7603427935678977e-06,
                2.260323489435463e-06,
                1.994729245878497e-06
            ],
            [
                2.9023119850527192e-06,
                3.7266383955611403e-06,
                1.067702615468225e-06,
                6.9622579086271995e-06,
                2.5612819051373276e-06,
                4.785096205651846e-06,
                1.7603425837062577e-06,
                1.4738978454950406e-05,
                6.144176797730321e-06,
                2.561281599914358e-06
            ],
            [
                1.6701419850389357e-05,
                2.144494838814782e-05,
                1.0129987356375273e-05,
                6.144173867753695e-06,
                7.484624497718912e-05,
                2.4300240730549767e-05,
                5.422218322940583e-06,
                2.7535700931292276e-05,
                3.726637950851956e-06,
                1.4738987232888351e-05
            ],
            [
                4.539786318711917e-05,
                1.3007128447264502e-05,
                2.1444948379722244e-05,
                3.120190391853445e-05,
                1.3007133109421283e-05,
                1.1478765386894505e-05,
                1.4738981969240237e-05,
                3.120190764716959e-05,
                2.753569108453202e-05,
                3.5356250694926364e-05
            ],
            [
                0.9999687980923623,
                0.0675466911396291,
                0.06754668363133542,
                0.10669058826486906,
                0.020332353342658753,
                0.053403331494692494,
                0.4687906266262437,
                0.3775406687981454,
                0.025957354230854587,
                0.015906394714953996
            ],
            [
                0.9999724643187485,
                0.9999599363078145,
                0.999860177859368,
                0.9999485578047708,
                0.999876605366322,
                0.9999339478238459,
                0.9999945777816799,
                0.9993736657509134,
                0.9999724643187476,
                0.9995694430147581
            ],
            [
                0.9999251537998436,
                0.9998204719912301,
                0.999985261018039,
                0.9999785550516015,
                0.9999038975507685,
                0.9997388096922429,
                0.9980732652421996,
                0.005220126435921693,
                0.9933071481655668,
                0.999841563783553
            ],
            [
                0.8807970779778824,
                1.47389819699641e-05,
                1.473898372500477e-05,
                3.535625061723943e-05,
                5.422220908314139e-06,
                1.4738978454172926e-05,
                5.422221554670048e-06,
                5.422220262264056e-06,
                0.00033534998660396257,
                6.144172403067661e-06
            ],
            [
                2.2603234893594005e-06,
                1.7603434231097403e-06,
                2.2603245670174926e-06,
                6.47594720987407e-07,
                8.93970056565517e-06,
                4.7850944937411915e-06,
                1.3709575336530204e-06,
                4.450852641426231e-07,
                0.00013982203573658354,
                1.0677028699043128e-06
            ],
            [
                6.962253758182361e-06,
                3.535625486558282e-05,
                0.00023050676537455129,
                1.670141586084161e-05,
                3.2887494573232236e-06,
                3.1201926219749737e-05,
                4.785093923916815e-06,
                5.422219615582823e-06,
                1.670142780162997e-05,
                1.0129989769962063e-05
            ],
            [
                3.535625488616215e-05,
                1.370957206783032e-06,
                3.120191136649749e-05,
                6.144177531459659e-06,
                4.222832938203964e-06,
                5.8291244647832884e-05,
                6.9622562489985925e-06,
                1.3709570433387154e-06,
                5.829129330398681e-05,
                6.14417753110761e-06
            ],
            [
                5.422218322851817e-06,
                1.4738983714656244e-05,
                6.144175333155351e-06,
                8.939697366793286e-06,
                9.42245043087507e-07,
                4.785093923847183e-06,
                6.144173136455602e-06,
                6.14417679836736e-06,
                1.9947306725868575e-06,
                5.422218969532895e-06
            ],
            [
                9.422445938728576e-07,
                1.0677033791107183e-06,
                1.0677033791437343e-06,
                4.785096775580942e-06,
                3.288749849368453e-06,
                4.785096205512581e-06,
                1.1478768124553928e-05,
                1.1478764019996392e-05,
                8.939697368663308e-06,
                1.370957370236096e-06
            ],
            [
                0.9995121428903876,
                0.999933947847516,
                0.9990889489970757,
                0.18242552380635632,
                0.9998766054422982,
                0.9984988175586438,
                0.08509904964767095,
                0.9999339478239194,
                0.999876605439966,
                0.5621765008857982
            ],
            [
                0.9999151889789432,
                0.9999898700102291,
                0.9999898700126431,
                0.9999810748562783,
                0.9999646437535068,
                0.999933947839665,
                0.9998415637454944,
                0.9994472213914721,
                0.999988521229138,
                0.9999038975394235
            ],
            [
                1.3007130013572209e-05,
                3.7266392838544054e-06,
                6.1441760657054305e-06,
                1.994729245722476e-06,
                5.4222183217274465e-06,
                1.3007126912258525e-05,
                6.9622579075254155e-06,
                6.144176065828368e-06,
                6.1441724013465395e-06,
                1.1478765385746131e-05
            ],
            [
                0.14804719991116141,
                0.0006263340609018836,
                0.9996646499703007,
                0.9984988177122023,
                0.22270014914315836,
                0.24508501864634827,
                0.3486451353339457,
                0.9998766054256925,
                0.5312093733737563,
                0.7057850340255385
            ],
            [
                1.4738978457336465e-05,
                1.8925157261545463e-05,
                1.5534983099564047e-06,
                1.0129994601301684e-05,
                6.144176797998549e-06,
                2.1444945853375776e-05,
                6.144172403928222e-06,
                1.4738988993532872e-05,
                2.260324567054496e-06,
                1.0129987352284668e-05
            ],
            [
                0.20181321745968234,
                0.005911068287096463,
                0.6791787121629466,
                0.5621765008857981,
                0.08509905254807777,
                0.3208213073183839,
                0.20181321505933414,
                0.13296424535145931,
                0.05340333469611046,
                0.6513548714339144
            ],
            [
                1.9947304347570075e-06,
                3.9278610660598936e-07,
                3.7266406165319545e-06,
                1.2098656833293524e-06,
                9.422447062030659e-07,
                5.043474081867732e-07,
                1.209865394997419e-06,
                5.04347528431602e-07,
                8.315277302588544e-07,
                1.5534981248528732e-06
            ],
            [
                2.561281294644835e-06,
                7.889266347004826e-06,
                8.315279284937352e-07,
                3.7266388394569345e-06,
                1.3709568799679844e-06,
                8.31527730252048e-07,
                2.9023112930659533e-06,
                2.9023116388969785e-06,
                2.9023112924403614e-06,
                2.561281294558644e-06
            ],
            [
                4.222835458002318e-06,
                1.0677027426262978e-06,
                4.7850950649408664e-06,
                4.785094494576774e-06,
                0.9998911030392508,
                1.300713311517055e-05,
                9.422448184287376e-07,
                1.1478769492642663e-05,
                4.222832940339353e-06,
                1.0129995797510037e-05
            ],
            [
                1.8925143721072897e-05,
                2.430023203572232e-05,
                2.1444958628814052e-05,
                8.939697368663308e-06,
                2.9023116389365734e-06,
                1.1478766745733287e-05,
                1.0129992186387057e-05,
                6.1441760661636525e-06,
                3.726638839395927e-06,
                6.96225458885115e-06
            ],
            [
                0.9999785550515873,
                0.9999898700078136,
                0.9998204720983304,
                0.9999724643187533,
                0.9999724642990537,
                0.9999810748495047,
                0.9999339478789562,
                0.9997965729782308,
                0.9999810748517607,
                0.9999930377429205
            ],
            [
                4.222834953712232e-06,
                6.144176798132662e-06,
                2.260324567177841e-06,
                5.422220261652556e-06,
                2.9023112929973233e-06,
                6.96225956921868e-06,
                4.222834954280646e-06,
                1.3007128462477575e-05,
                6.962256249112569e-06,
                5.422217676397663e-06
            ],
            [
                6.962259568648793e-06,
                8.939698434820389e-06,
                1.8925152748558416e-05,
                2.561282515853595e-06,
                1.3007131563507714e-05,
                8.315280276096808e-07,
                2.2603251061849014e-06,
                2.9023123309287002e-06,
                2.561282210590951e-06,
                3.7266410609160796e-06
            ],
            [
                1.892515500450102e-05,
                8.939700565102295e-06,
                3.7266388395111645e-06,
                4.785094494019719e-06,
                1.0129992186387057e-05,
                8.939700565834043e-06,
                2.9023126769050284e-06,
                6.962253759157502e-06,
                9.422447061953531e-07,
                3.120192624233791e-05
            ],
            [
                3.120191136400031e-05,
                1.8925143721761383e-05,
                6.1441738684354385e-06,
                3.7266397276757403e-06,
                8.93969630317306e-06,
                5.422218321855664e-06,
                2.9023112929973233e-06,
                1.4738981964843453e-05,
                1.1478766755985128e-05,
                1.6701427812931038e-05
            ],
            [
                1.9947297214182054e-06,
                1.6701419845680582e-05,
                5.422218322565793e-06,
                2.1444953524161264e-05,
                6.962256249327861e-06,
                1.147877086020957e-05,
                3.726640616630245e-06,
                1.7603430033991435e-06,
                6.962257908880483e-06,
                1.3007134664822509e-05
            ],
            [
                7.889264465842609e-06,
                5.42221961567159e-06,
                8.939697369151141e-06,
                8.939693104865575e-06,
                1.3709570433075437e-06,
                2.9023109471689794e-06,
                6.144177531381426e-06,
                1.5534981248712412e-06,
                4.7850933535006355e-06,
                4.7850950647493785e-06
            ],
            [
                3.7266388396128453e-06,
                3.72664017246987e-06,
                3.726637951028202e-06,
                8.939700564890901e-06,
                3.120192250393883e-05,
                6.962253757840428e-06,
                4.7850927830845245e-06,
                2.4300240709863792e-05,
                4.2228324372555256e-06,
                4.7850933529174686e-06
            ],
            [
                3.288749849209925e-06,
                4.785095634756674e-06,
                1.0129989769722525e-05,
                6.144176066051891e-06,
                1.6701415868193372e-05,
                3.1201907586215615e-05,
                1.3007130007515371e-05,
                1.994730434778778e-06,
                1.0129987353537646e-05,
                5.422220908402905e-06
            ],
            [
                0.9999810748585286,
                0.9999967112509347,
                0.9998204720768361,
                0.3775406687981454,
                0.9999339478396064,
                0.9999251537995338,
                0.9999898700041928,
                0.9999785550567023,
                0.9999832985821404,
                0.9989677688116303
            ],
            [
                4.785093353274332e-06,
                7.889266346746518e-06,
                1.3007134665934505e-05,
                1.5534973841154145e-06,
                2.260325106045111e-06,
                1.760344052693435e-06,
                6.962253758916883e-06,
                1.4738980210258757e-05,
                7.889262581595514e-06,
                6.144176065940129e-06
            ],
            [
                8.939695237959376e-06,
                5.422218969306048e-06,
                2.144494074076854e-05,
                1.300712381094558e-05,
                0.00017952790046817183,
                2.1444945853999886e-05,
                2.7535694377870696e-05,
                6.605216827622735e-05,
                0.0004305570330013735,
                2.144494329769612e-05
            ],
            [
                2.4300234933172706e-05,
                1.553498495230919e-06,
                4.0063692165808155e-05,
                7.88926634644516e-06,
                1.3007125356952865e-05,
                7.889266347004826e-06,
                1.6701429804288556e-05,
                7.88926446470893e-06,
                2.4300240681044865e-05,
                4.222834954461155e-06
            ],
            [
                1.4738988998787566e-05,
                6.9622562489985925e-06,
                3.5356263314938686e-05,
                1.670142183934597e-05,
                4.2228319339950885e-06,
                7.889263525405172e-06,
                2.9023133686360798e-06,
                1.8925154986738235e-05,
                9.422442568428928e-07,
                4.222833444168322e-06
            ],
            [
                3.2887478889034873e-06,
                8.939694170518055e-06,
                5.715002426301592e-07,
                1.99473067264854e-06,
                7.889263524615903e-06,
                4.785096205582214e-06,
                8.939697369151141e-06,
                7.889260703906985e-06,
                4.7850944943330625e-06,
                5.422218969463855e-06
            ],
            [
                6.144177530001174e-06,
                2.9023119850210436e-06,
                5.715004470077356e-07,
                6.14417679836736e-06,
                6.144173868558375e-06,
                8.31528027618756e-07,
                5.422219615286937e-06,
                1.0129992185539456e-05,
                1.994730672305658e-06,
                4.222834954607099e-06
            ],
            [
                1.8925141470949294e-05,
                6.9622562492265485e-06,
                3.2887494573232236e-06,
                2.902312330759764e-06,
                1.5534975692471157e-06,
                1.2098659718847284e-06,
                1.994729483630195e-06,
                1.1478768122069266e-05,
                2.9023116389365734e-06,
                6.144172404218801e-06
            ],
            [
                5.422217676575195e-06,
                4.7850927830148924e-06,
                4.222835458044565e-06,
                3.7266401721817755e-06,
                1.994729483666479e-06,
                1.0677032518578904e-06,
                2.260325105981383e-06,
                1.3709568799106278e-06,
                3.7266388396128453e-06,
                8.939696301384342e-06
            ],
            [
                1.994729245842213e-06,
                1.3709572067955008e-06,
                4.222835457449267e-06,
                3.726637950973972e-06,
                2.2603253755949437e-06,
                1.994729008056074e-06,
                1.7603425837494853e-06,
                3.726641060956752e-06,
                3.4663266242780743e-07,
                4.785094494402695e-06
            ],
            [
                5.42221767672807e-06,
                1.1478773597390071e-05,
                8.939699500766203e-06,
                9.42244481461251e-07,
                3.7266388394569345e-06,
                1.06770312455264e-06,
                1.670141786036971e-05,
                3.2887482811220126e-06,
                2.430023202688216e-05,
                3.726637950851956e-06
            ],
            [
                6.144173868983067e-06,
                1.4738985483879434e-05,
                7.889260703462123e-06,
                7.889266346287306e-06,
                2.144495607640949e-05,
                5.422218969217281e-06,
                8.939695237959376e-06,
                5.4222176755001384e-06,
                8.939697355784541e-06,
                6.9622545892184106e-06
            ],
            [
                8.764252675139198e-08,
                6.475947209953583e-07,
                1.5534981249023245e-06,
                3.7266388396128453e-06,
                1.3709570433885908e-06,
                2.902311984952413e-06,
                6.962254588281262e-06,
                7.338211554591642e-07,
                6.475947981904966e-07,
                3.7266383952696564e-06
            ],
            [
                1.760342583722268e-06,
                1.0129994601688632e-05,
                6.1441767987808774e-06,
                5.8291272239779075e-05,
                5.422219615829396e-06,
                3.7266383953679482e-06,
                6.96225707894582e-06,
                4.222835457906302e-06,
                4.222833443645997e-06,
                6.962259568648793e-06
            ],
            [
                1.3007130013288297e-05,
                1.0129988564430787e-05,
                1.3007126909916233e-05,
                2.1444956071728615e-05,
                6.9622545863942985e-06,
                8.939697368500698e-06,
                3.2887486732000038e-06,
                2.43002523073625e-05,
                2.260323758835034e-06,
                6.962258737472841e-06
            ],
            [
                1.0129990978220553e-05,
                2.144494585197151e-05,
                4.222833444229772e-06,
                2.902311639126627e-06,
                5.422219615898437e-06,
                6.962253759752719e-06,
                1.14787681240737e-05,
                1.1478772225271098e-05,
                3.7266388396128453e-06,
                1.4738980212644815e-05
            ],
            [
                1.1478772226690907e-05,
                7.889263524443698e-06,
                1.3007123810306773e-05,
                1.9947290080343035e-06,
                1.0129994600398803e-05,
                6.144176065940129e-06,
                8.93969310367852e-06,
                3.288749849000549e-06,
                6.144176065012512e-06,
                1.6701417860795016e-05
            ],
            [
                1.4738987235622935e-05,
                4.785094494402695e-06,
                6.1441738691562974e-06,
                6.962257079465052e-06,
                6.14417753110761e-06,
                6.144174601588856e-06,
                4.7850927830845245e-06,
                8.939698434495167e-06,
                4.785096205512581e-06,
                8.9396973679153e-06
            ],
            [
                0.999997438717484,
                0.9999885212359798,
                0.9998204719484429,
                0.9999869928746379,
                0.9999957771660521,
                0.9999724643154692,
                0.9999930377404306,
                0.9999646437408605,
                0.9999756997650627,
                0.9999921107383551
            ],
            [
                4.785093353874907e-06,
                0.9999869928730878,
                1.3007126910649678e-05,
                6.9622562489985925e-06,
                2.7535704218321328e-05,
                3.1201907645920996e-05,
                8.939697368663308e-06,
                3.288750633569722e-06,
                7.88926540679677e-06,
                8.939700565834043e-06
            ],
            [
                1.6701417851043295e-05,
                4.785096205077381e-06,
                1.3709568798420497e-06,
                5.42222090821551e-06,
                4.785092783210732e-06,
                4.785093353626844e-06,
                1.994729245749689e-06,
                4.222835457364773e-06,
                2.5612828208367393e-06,
                3.2887490652810324e-06
            ],
            [
                1.0129994600159262e-05,
                8.939698433145498e-06,
                7.889264464895484e-06,
                8.93969736942758e-06,
                8.939700564890901e-06,
                4.7850933535659155e-06,
                1.4738987240475486e-05,
                4.785094494463623e-06,
                6.144173869072478e-06,
                7.889259762666377e-06
            ],
            [
                4.2228319341064674e-06,
                6.144176798870286e-06,
                8.939697368842181e-06,
                5.422217029844958e-06,
                5.422218323019487e-06,
                1.670142977403086e-05,
                2.9023123310290063e-06,
                4.785096205512581e-06,
                7.88926634383339e-06,
                8.939698433145498e-06
            ],
            [
                3.28874945711983e-06,
                1.0677026153919963e-06,
                1.9947301969471416e-06,
                2.9023116389365734e-06,
                4.222832940500659e-06,
                2.561283431942246e-06,
                1.3709572067181944e-06,
                2.9023119847359636e-06,
                2.5612815998491325e-06,
                4.7850967757637256e-06
            ],
            [
                6.144173868044274e-06,
                4.7850967757637256e-06,
                3.535625063627531e-05,
                7.889264466230069e-06,
                4.785095064819011e-06,
                7.889259760025908e-06,
                8.939693105076969e-06,
                2.2603245672025095e-06,
                4.222833947498071e-06,
                4.2228324375973415e-06
            ],
            [
                3.7266383953679482e-06,
                1.2098658276444443e-06,
                2.9023126768680736e-06,
                8.939697367492512e-06,
                1.0129995807441742e-05,
                1.0129992181743666e-05,
                1.7603432133032607e-06,
                4.78509506499309e-06,
                2.1444956060182448e-05,
                3.7266410604686857e-06
            ],
            [
                7.8892625849535e-06,
                4.785095065045315e-06,
                8.939698432917844e-06,
                1.1478770861650256e-05,
                1.8925157244540003e-05,
                4.785093923420688e-06,
                7.88926540454376e-06,
                1.6701415863393463e-05,
                1.0129989769962063e-05,
                3.288750633545794e-06
            ],
            [
                4.785093923690512e-06,
                2.9023130228444433e-06,
                4.222832437324657e-06,
                3.12019076377484e-05,
                7.8892607025437e-06,
                1.4738980211116665e-05,
                1.8925141467679015e-05,
                2.2603242976733308e-06,
                4.0063706346364244e-05,
                7.8892625849535e-06
            ],
            [
                0.18242552158390105,
                0.03732688948593844,
                0.07585818054355693,
                NaN,
                0.9989677691898873,
                0.4378234991142019,
                0.9982992773496017,
                0.997527376655576,
                0.06754669536304464,
                0.5312093733737563
            ],
            [
                1.9947294835866542e-06,
                3.2887506332945414e-06,
                3.9278610660884725e-07,
                9.4224425692559e-07,
                1.209866116170145e-06,
                3.2887506332945414e-06,
                8.315282259009745e-07,
                6.144173869072478e-06,
                7.338211554531576e-07,
                1.370957370126371e-06
            ],
            [
                0.999997438717179,
                0.9999724642957772,
                0.9999852610110034,
                0.9999885212318943,
                0.999978555056719,
                0.999569442866106,
                0.9999756997505863,
                0.9999339478475265,
                0.9999962733620488,
                0.9998911030389482
            ],
            [
                0.9840936091628859,
                1.3007123810306773e-05,
                7.889259762307618e-06,
                2.9023133687786197e-06,
                1.8925152748558416e-05,
                4.222835457906302e-06,
                6.962254587951994e-06,
                1.6701421837705495e-05,
                8.939699498587217e-06,
                5.422220908634683e-06
            ],
            [
                1.3007134664822509e-05,
                1.0129990978644356e-05,
                7.889264464106214e-06,
                8.93969523264201e-06,
                1.4738976680446557e-05,
                5.422221555069497e-06,
                8.939699496164318e-06,
                1.670142977512451e-05,
                8.939696301140427e-06,
                6.9622587393661365e-06
            ],
            [
                3.7266388396128453e-06,
                1.0129989769962063e-05,
                1.9947290080905435e-06,
                8.315280276263186e-07,
                4.7850944942634305e-06,
                1.9947304348332037e-06,
                2.260324836651547e-06,
                1.300713001414004e-05,
                7.889263525534328e-06,
                2.9023109471188266e-06
            ],
            [
                1.670142781520948e-05,
                2.753569437686898e-05,
                1.3007128462477575e-05,
                0.9996646497718104,
                1.6701427813872793e-05,
                2.1444953522913026e-05,
                2.753569437266178e-05,
                0.00010889692215579573,
                4.0063696941289896e-05,
                3.120191134788212e-05
            ],
            [
                6.144177530671741e-06,
                1.6701425819994037e-05,
                8.939693106182721e-06,
                4.222832940715735e-06,
                4.785096776133645e-06,
                5.42222090882208e-06,
                8.939694172542558e-06,
                5.422219615750493e-06,
                8.939698431389304e-06,
                6.144173869240119e-06
            ],
            [
                1.4738988995409548e-05,
                3.2887494572514376e-06,
                1.4738987239698005e-05,
                4.785093353100252e-06,
                1.0129993394314164e-05,
                1.209865683500459e-06,
                1.3007130008887624e-05,
                5.422218968595919e-06,
                6.14417753110761e-06,
                1.1478764019787597e-05
            ],
            [
                2.902312330891746e-06,
                4.785095064819011e-06,
                7.889264465397747e-06,
                1.892515725149365e-05,
                1.6701427808495672e-05,
                1.012999218340202e-05,
                4.22283545710361e-06,
                1.670142980380249e-05,
                1.4738980206290928e-05,
                1.7603430033399058e-06
            ],
            [
                2.561283431942246e-06,
                1.8925152751174644e-05,
                2.1444956077189637e-05,
                6.962257908880483e-06,
                2.56128282131428e-06,
                6.144173868983067e-06,
                1.994729007936337e-06,
                5.422218969384951e-06,
                1.1478765382509808e-05,
                3.2887478891128633e-06
            ],
            [
                1.1478765385432939e-05,
                2.5612834317908303e-06,
                1.0129993385746e-05,
                7.889261644358435e-06,
                8.939695236593446e-06,
                5.422217026609926e-06,
                6.96225956837018e-06,
                6.144175333837093e-06,
                2.260323758939877e-06,
                4.785096776133645e-06
            ],
            [
                4.222832436871463e-06,
                6.144176797998549e-06,
                1.1478765384054893e-05,
                3.2887498492518007e-06,
                4.785095633999427e-06,
                2.561283126304449e-06,
                2.561281599776919e-06,
                1.3007131563507714e-05,
                6.144173136952939e-06,
                1.1478770860982112e-05
            ],
            [
                1.4738981968462759e-05,
                1.4738981968462759e-05,
                4.2228344501365644e-06,
                1.1478772227964558e-05,
                4.0063682625048554e-05,
                0.0006263340639988251,
                5.1442225848041874e-05,
                8.939695235243779e-06,
                1.6701421840804172e-05,
                0.9149009509324104
            ],
            [
                1.0129992186387057e-05,
                1.2098652507847127e-06,
                4.222833444429485e-06,
                5.422221554581283e-06,
                2.902311292960369e-06,
                3.7266383953679482e-06,
                1.370956716529941e-06,
                5.4222202614355715e-06,
                3.288748281220719e-06,
                5.4222183221120994e-06
            ],
            [
                0.9999930377420904,
                0.9999810748517602,
                0.9999910603047618,
                0.999954602125951,
                0.9999957771645419,
                0.999975699767961,
                0.9999687980886287,
                0.9999756997679586,
                0.9999724643121848,
                0.9999910602994339
            ],
            [
                1.6701425817016872e-05,
                2.4300232031037035e-05,
                7.889266347004826e-06,
                5.422221554581283e-06,
                6.144176063805491e-06,
                5.422217030288788e-06,
                1.1478769492642663e-05,
                6.144172403715875e-06,
                8.939699498814873e-06,
                5.422217029509618e-06
            ],
            [
                4.222831934286977e-06,
                6.962257907880012e-06,
                6.144176066521288e-06,
                6.144175334015912e-06,
                1.0129995807441742e-05,
                1.3007123809644304e-05,
                3.2887478886821466e-06,
                3.7266410609160796e-06,
                1.3709570433885908e-06,
                3.7266388396128453e-06
            ],
            [
                4.22283344433731e-06,
                3.288750241473551e-06,
                8.939700562695657e-06,
                4.7850950648799385e-06,
                1.5534981249023245e-06,
                1.3007134665674251e-05,
                1.012998977022003e-05,
                1.4738987242137685e-05,
                7.889261642794245e-06,
                3.726640616670918e-06
            ],
            [
                0.9999885212359799,
                0.9999967112493665,
                0.9999339478789859,
                0.9999546021097218,
                0.9999038975392522,
                0.9999832985781574,
                0.9999852610145151,
                0.9998204720124606,
                0.9999785550567011,
                0.9999339478791137
            ],
            [
                1.0129988563914856e-05,
                3.7266406165827946e-06,
                7.889259762106714e-06,
                6.962254588281262e-06,
                6.962258739454786e-06,
                1.473897669838221e-05,
                3.726637951079042e-06,
                1.473898372275276e-05,
                2.1444958632714784e-05,
                3.7266388395620047e-06
            ],
            [
                3.120192621804711e-05,
                6.14417313680765e-06,
                4.2228329408924035e-06,
                7.889260703906985e-06,
                5.422221554670048e-06,
                6.9622570784012604e-06,
                2.260324297570543e-06,
                1.2098652507439992e-06,
                1.5534977544367678e-06,
                3.7266383953679482e-06
            ],
            [
                2.2603251058292572e-06,
                6.1441760657054305e-06,
                7.889266346129453e-06,
                0.9947798730949626,
                4.785095634356291e-06,
                8.939693104410264e-06,
                1.6701417860795016e-05,
                8.939693106020111e-06,
                1.0129987355343409e-05,
                6.144172404380855e-06
            ],
            [
                2.9023112929973233e-06,
                0.00017952804926897858,
                1.670141785420273e-05,
                1.1478768124324254e-05,
                1.5534977545243671e-06,
                7.889261643899223e-06,
                5.1442238144007945e-05,
                0.9993736659201885,
                2.4300249412738893e-05,
                1.3007128462785148e-05
            ],
            [
                1.30071346612026e-05,
                2.5612828207295832e-06,
                1.4738983721251418e-05,
                1.3007128460040644e-05,
                4.222834954134701e-06,
                2.4300234906298624e-05,
                1.6701417839134652e-05,
                8.939694170729447e-06,
                2.561282210194942e-06,
                2.4300246520590875e-05
            ],
            [
                3.288748673035494e-06,
                1.8925141465200488e-05,
                3.120191508060445e-05,
                7.889263524788109e-06,
                2.7535687791694597e-05,
                0.00010889694247683335,
                2.4300252304268445e-05,
                4.785092783210732e-06,
                4.222833444429485e-06,
                5.422220908314139e-06
            ],
            [
                7.484622693557993e-05,
                1.370956716529941e-06,
                2.1444943296369872e-05,
                1.0129990977759901e-05,
                6.962253759486771e-06,
                0.00012339455987964702,
                4.222833947820683e-06,
                2.7535691093547457e-05,
                2.1444948408275583e-05,
                1.7603438428188364e-06
            ],
            [
                0.9999724643188671,
                0.9999485577680322,
                0.9999339478240314,
                0.9995694429637546,
                0.9991959139711655,
                0.9999852610197911,
                0.9999785550464846,
                0.9999485577924913,
                0.9996200155168097,
                0.9998415638416852
            ],
            [
                0.9999756997563707,
                0.9999921107374153,
                0.9999724643023399,
                0.9999885212277696,
                0.9999885212277698,
                0.9999967112513267,
                0.999992110736474,
                0.9999724643056253,
                0.9999869928715373,
                0.9999687980774881
            ],
            [
                1.0129988562661878e-05,
                3.120191508060445e-05,
                1.0129994555328398e-05,
                1.3007123811229494e-05,
                1.4738985482753428e-05,
                6.9622554171645e-06,
                1.4738980209829803e-05,
                5.422218322940583e-06,
                1.1478768124783601e-05,
                1.670142781520948e-05
            ],
            [
                7.889264463216492e-06,
                1.7603427935342762e-06,
                8.48110412132976e-05,
                5.829125154581821e-05,
                2.7535700938304286e-05,
                3.1201918794144304e-05,
                1.3007133113703658e-05,
                1.3007131560621253e-05,
                2.144494074201677e-05,
                1.1478768123551712e-05
            ],
            [
                2.14449535222109e-05,
                7.889265405849647e-06,
                5.422217029844958e-06,
                3.2887478891128633e-06,
                1.3007131559816827e-05,
                4.539786320660675e-05,
                4.22283394762097e-06,
                1.670142582254589e-05,
                6.962254589617333e-06,
                1.0129988562422337e-05
            ],
            [
                5.422218322851817e-06,
                4.7850933529174686e-06,
                4.2228324372555256e-06,
                2.2603251060142746e-06,
                3.2887498493325602e-06,
                1.994730434778778e-06,
                9.422442568951678e-07,
                6.962259569313662e-06,
                1.7603440526133836e-06,
                3.288747889038086e-06
            ],
            [
                8.939699498814873e-06,
                4.222832437497486e-06,
                7.889263524788109e-06,
                3.2887494572873306e-06,
                2.260323489435463e-06,
                2.561282821239737e-06,
                1.99472995920443e-06,
                2.9023109471689794e-06,
                1.994730672407252e-06,
                1.4738981967202704e-05
            ],
            [
                3.7266401722360055e-06,
                1.9947304348332037e-06,
                1.012999460108057e-05,
                1.5534984953199313e-06,
                1.5534977545384963e-06,
                2.9023116389365734e-06,
                4.78509449410676e-06,
                2.90231163910023e-06,
                1.7603430033607189e-06,
                3.2887498492936755e-06
            ],
            [
                4.222831934052698e-06,
                4.222832437677995e-06,
                5.829129329168791e-05,
                1.2098658277181688e-06,
                1.0129992185299915e-05,
                4.222834451215781e-06,
                6.605212880872268e-05,
                2.753570420970657e-05,
                6.962257908753841e-06,
                4.22283545795623e-06
            ],
            [
                4.2228324375973415e-06,
                4.785093923116048e-06,
                5.4222215537823875e-06,
                2.5612834319655406e-06,
                3.2887482810382622e-06,
                1.6701427813417103e-05,
                4.006370168310508e-05,
                1.3709575336530204e-06,
                3.726638395415398e-06,
                6.144173135628569e-06
            ],
            [
                4.7850950648799385e-06,
                5.1442232001825764e-05,
                2.144494072680393e-05,
                3.5356242264223526e-05,
                1.8925145981283003e-05,
                3.5356246483883486e-05,
                5.829128634365382e-05,
                5.829127937441555e-05,
                2.7535687809124434e-05,
                4.006371123115648e-05
            ],
            [
                0.06754669067036073,
                0.9998204720128602,
                0.2689414096510108,
                0.9999251537550304,
                0.08509904036636974,
                0.320821300824607,
                0.18242552380635632,
                0.9988304894966905,
                0.26894141551050293,
                0.22270014398423355
            ],
            [
                7.889265406438011e-06,
                3.726640616630245e-06,
                6.962257079173776e-06,
                7.889262582341733e-06,
                2.902311639126627e-06,
                1.8925143711847272e-05,
                6.962258737979408e-06,
                1.3007125361755747e-05,
                4.222832437497486e-06,
                2.561281599914358e-06
            ],
            [
                5.422217030209884e-06,
                1.6701419845073e-05,
                1.0129988564099116e-05,
                6.144172404302622e-06,
                4.78509506499309e-06,
                7.889264466115267e-06,
                1.3007126909537681e-05,
                1.1478768125201194e-05,
                1.3007126911974612e-05,
                4.222834954057889e-06
            ],
            [
                1.9947306725868575e-06,
                4.22283545795623e-06,
                2.2603251060738913e-06,
                1.012998977088337e-05,
                3.7266379512112265e-06,
                1.6701415865641523e-05,
                5.422217030362759e-06,
                5.422218969384951e-06,
                5.422217030209884e-06,
                1.3007125356479674e-05
            ],
            [
                0.9998911031297203,
                0.9999546021151405,
                0.9999646437451019,
                0.9999938558268633,
                0.9999810748495047,
                0.9999485578047429,
                0.9999546021421896,
                0.9999687980774709,
                0.9999339478711133,
                0.9999546021097371
            ],
            [
                5.422220262264056e-06,
                1.4738976698006875e-05,
                1.1478765387667046e-05,
                8.93969630348202e-06,
                1.760342793583908e-06,
                2.260324028281919e-06,
                4.7850933535659155e-06,
                1.0677028699489821e-06,
                3.2887494570181325e-06,
                6.96225956837018e-06
            ],
            [
                4.222832437443716e-06,
                1.4738985483128763e-05,
                1.8925141465820123e-05,
                2.902311985146426e-06,
                1.0129993393742954e-05,
                3.535625491754561e-05,
                1.1478768124553928e-05,
                6.144173869379821e-06,
                4.222832940423847e-06,
                1.3007126909916233e-05
            ],
            [
                0.46879062662624377,
                0.03732688359596403,
                0.32082129433083023,
                0.2689414213699951,
                0.004070137755535547,
                0.9989677690467954,
                0.029312233507246568,
                1.0677028700130727e-06,
                0.0330859768394049,
                0.07585818524437761
            ],
            [
                1.6701429804744246e-05,
                1.1478772226356834e-05,
                5.422217676397663e-06,
                1.5534981248881956e-06,
                4.785093923690512e-06,
                1.9947306726213275e-06,
                4.0063711272110856e-05,
                8.93969417167259e-06,
                1.3007123810306773e-05,
                6.962255419279419e-06
            ]
        ]
    },
    {
        "q_id": "10562_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                2.144495863201265e-05,
                2.430023202131286e-05,
                5.1442238107329257e-05,
                7.889260701697028e-06,
                2.753568451218037e-05,
                1.3007130007515371e-05,
                1.6701429805199933e-05,
                1.1478768124324254e-05,
                2.1444940719392548e-05,
                3.5356254907513187e-05
            ],
            [
                4.0063711189764875e-05,
                1.892515724543503e-05,
                6.605212873279408e-05,
                2.1444956056827822e-05,
                1.3007126913583456e-05,
                3.535624645738762e-05,
                8.481107299956308e-05,
                1.6701419851270353e-05,
                5.422218323399208e-06,
                1.473898723042186e-05
            ],
            [
                0.9859363750487529,
                0.9902915235901575,
                0.002472623063027308,
                0.0017007227525851257,
                0.002472622854564067,
                0.0007096704528870473,
                0.0017007220313478026,
                0.9986749774650937,
                0.9820137860899856,
                0.9465966662454831
            ],
            [
                0.9996200154939372,
                0.996827316411588,
                0.997199072727231,
                0.02033235360237229,
                0.9988304894743882,
                0.9669140233989488,
                0.00043055711075945877,
                0.04742587688008271,
                0.997527376414953,
                0.0009110510313225386
            ],
            [
                1.6701419846834993e-05,
                1.0129994599624903e-05,
                1.1478768124992398e-05,
                1.6701429796754513e-05,
                5.8291265491498626e-05,
                1.892514146086307e-05,
                3.1201918748173414e-05,
                1.012998735687278e-05,
                0.00023050665725639168,
                1.6701425825128124e-05
            ],
            [
                0.9997040430129298,
                0.0046095719507574925,
                0.005220124465152913,
                0.017986209139607724,
                0.020332355309061308,
                0.9989677690381523,
                0.9669140200619966,
                0.0009110513272791243,
                0.9953904268976124,
                0.9996200154277742
            ],
            [
                0.9971990727805568,
                0.9988304899413768,
                0.9820137895115189,
                0.9995121429031032,
                0.9986749778229485,
                0.9988304895124653,
                0.9875683468714589,
                0.997199073069947,
                0.9999646437408712,
                0.9999485577925624
            ],
            [
                3.535623801986889e-05,
                3.1201900194894126e-05,
                1.6701417861189946e-05,
                3.5356238036718197e-05,
                2.7535687785784475e-05,
                2.1444948403750736e-05,
                3.120192622962497e-05,
                2.7535697614112e-05,
                7.889263525534328e-06,
                7.889261641904523e-06
            ],
            [
                0.9984988177521624,
                0.005911068713956957,
                0.9999724643026031,
                NaN,
                0.9975273764499841,
                0.9953904286902239,
                0.06754669724011829,
                0.9964063979829908,
                0.9947798750584773,
                0.9914225142378131
            ],
            [
                0.0028009269963851498,
                0.0004878571653002539,
                0.0015011820263992955,
                0.012431651527788589,
                0.007577242262341453,
                0.9971990729476877,
                0.0010322309926988676,
                0.02931223016837957,
                0.007577241057759283,
                0.017986208744815498
            ],
            [
                0.9902915215128427,
                0.998967769039953,
                0.995929862888133,
                0.9706877669697345,
                0.005220125870081256,
                0.9964063965690456,
                0.002182716215124512,
                0.9994472213491197,
                0.9947798748456825,
                0.9902915237960981
            ],
            [
                1.892514824021969e-05,
                6.962254589528684e-06,
                1.4738980212644815e-05,
                1.01299946023704e-05,
                0.9993736657594027,
                5.14422011483282e-05,
                3.120190020613144e-05,
                0.00013982208963786078,
                7.48462182289749e-05,
                3.120191137012976e-05
            ],
            [
                0.9988304896381198,
                0.008577487045208523,
                0.9840936047893821,
                0.9770226300899744,
                0.9991959142330569,
                0.9964063976711891,
                0.047425871662901256,
                0.9991959139409077,
                0.05340332565681315,
                0.04742587856304458
            ],
            [
                6.60521444778882e-05,
                2.7535687799708318e-05,
                NaN,
                0.00010889693417570883,
                5.422220908703723e-06,
                5.8291286062899485e-05,
                5.1442195075016483e-05,
                0.00012339454428655032,
                2.144495863201265e-05,
                2.7535697651475977e-05
            ],
            [
                0.9914225164791404,
                0.9875683504388498,
                4.5397884800499855e-05,
                0.9978172834740269,
                0.00015843629047337934,
                8.481108164661406e-05,
                5.829127246412803e-05,
                0.9875683515250745,
                3.1201918809808464e-05,
                0.00017952800828919068
            ],
            [
                7.889260704531226e-06,
                2.7535687803514833e-05,
                2.430024072471526e-05,
                1.6701415868649062e-05,
                1.3007126904521862e-05,
                1.670142582254589e-05,
                2.4300243625614346e-05,
                4.785095065045315e-06,
                3.53562675670136e-05,
                8.939696302831578e-06
            ],
            [
                2.4300252285704095e-05,
                6.605212099288318e-05,
                3.5356246450956585e-05,
                1.8925150492616083e-05,
                4.539788476119438e-05,
                2.260325375650449e-06,
                1.6701415868649062e-05,
                3.535626750874837e-05,
                2.430024651882284e-05,
                3.1201903906162046e-05
            ],
            [
                6.605216821327387e-05,
                1.3007126911974612e-05,
                5.829128638606383e-05,
                1.8925157254522964e-05,
                1.3007131565376817e-05,
                2.4300243626409964e-05,
                1.8925143727854426e-05,
                8.481108163797566e-05,
                5.829126539056281e-05,
                5.829127245988703e-05
            ],
            [
                0.9953904275300475,
                0.9968273174756198,
                0.9989677691908476,
                0.015906393986036643,
                0.9993736658487767,
                0.9996200154901564,
                0.9940889324106562,
                0.9986749778911919,
                0.9924227576606213,
                0.06754669489377624
            ],
            [
                0.095349458472392,
                0.9997040427454742,
                0.060086649753226806,
                0.02297736932461163,
                0.9971990727083718,
                0.9999687980849298,
                0.994088931967378,
                0.022977370746331337,
                0.999620015527986,
                0.995390427592009
            ],
            [
                0.9999251537639298,
                0.9820137927685546,
                0.9989677692018916,
                0.996406396742454,
                0.9999251537817438,
                0.029312228737436684,
                0.9994472212783075,
                0.9924227580458075,
                0.9997694932922728,
                0.9947798732448863
            ],
            [
                2.1444953523537147e-05,
                2.4300246519706854e-05,
                8.93970056668775e-06,
                1.012998977198894e-05,
                8.939696304002375e-06,
                8.93969736654937e-06,
                3.7266383952696564e-06,
                1.47389854857293e-05,
                5.422220908876325e-06,
                1.4738983725406915e-05
            ],
            [
                0.0008040860606824038,
                0.002472622805176084,
                0.9982992772316026,
                0.9840936064804705,
                0.999447221494346,
                NaN,
                0.9989677691290253,
                0.004609572613105018,
                0.9914225139368574,
                0.9993736658496147
            ],
            [
                3.120191505506507e-05,
                3.120191879107958e-05,
                3.535625907997084e-05,
                2.7535700939406174e-05,
                1.4738978456398127e-05,
                5.1442195174572826e-05,
                4.5397863201321984e-05,
                1.3007131563815288e-05,
                8.481101071663458e-05,
                2.7535694350223355e-05
            ],
            [
                0.9984988174673812,
                0.9999038975856331,
                0.9992903297623413,
                0.9770226317207705,
                0.9940889310425136,
                0.9989677689852131,
                0.9996646497791962,
                0.9995694428862094,
                0.9971990725685541,
                0.00757723977614009
            ],
            [
                0.9953904277415715,
                0.9990889487036623,
                0.9975273771081078,
                0.999447221308922,
                0.9940889298029763,
                0.9324533041676869,
                0.993307149821789,
                0.997199072690163,
                0.9959298628466061,
                0.9996200155702927
            ],
            [
                0.9978172834324451,
                0.9982992779443409,
                0.9990889486390244,
                0.99867497779599,
                0.9953904272501523,
                0.9964063974610983,
                0.9968273167952285,
                0.9989677689080252,
                0.996827317068416,
                0.9995121429897287
            ],
            [
                0.0011695104528572867,
                0.9914225164078615,
                0.00591106873037467,
                0.002182716386015182,
                0.022977371499006513,
                0.9997388096618671,
                0.9740426420015996,
                0.01590639197422492,
                0.9859363731762852,
                0.9968273166752029
            ],
            [
                1.1478766756653273e-05,
                1.0129994602656007e-05,
                2.753569434050672e-05,
                1.473898020838208e-05,
                1.4738978456398127e-05,
                1.4738976698757546e-05,
                5.829124449727741e-05,
                1.0129987354108855e-05,
                2.4300243620398656e-05,
                0.9998601779278335
            ],
            [
                1.147876675082789e-05,
                2.7535697660090726e-05,
                8.939699500636112e-06,
                3.53562591237019e-05,
                2.2603251061664e-06,
                3.7266383955882547e-06,
                2.7535697643963113e-05,
                6.144175333837093e-06,
                6.144177531599359e-06,
                3.1201918783020485e-05
            ],
            [
                0.0015011820773527828,
                0.9924227601748362,
                0.9924227595795486,
                0.9859363708776695,
                0.9902915247004462,
                0.9924227585990748,
                0.0017007221117927285,
                0.0006263340598088455,
                0.9796676483640301,
                0.9933071498403635
            ],
            [
                0.9840936063638437,
                0.9953904275578234,
                0.9940889312148996,
                0.993307148342024,
                0.9984988176167517,
                0.010986941628716686,
                0.9465966739665496,
                0.996827316525723,
                0.006692851945880001,
                0.002800926762271747
            ],
            [
                4.0063692132141055e-05,
                5.144220134032976e-05,
                1.3007131558917768e-05,
                2.7535697614112e-05,
                3.120192251336002e-05,
                3.1201907623673364e-05,
                2.430023783150746e-05,
                1.670142780910326e-05,
                1.6701415860173268e-05,
                1.0129994602057158e-05
            ],
            [
                0.9902915245482292,
                0.999738809695032,
                0.9975273766228421,
                0.020332355642978743,
                0.9971990729938601,
                0.9770226320552927,
                0.9980732649243054,
                0.9840936068303507,
                0.9626731133251858,
                0.9840936084922821
            ],
            [
                4.222831934248571e-06,
                5.829124439761394e-05,
                0.0031726827570681113,
                4.0063677828144015e-05,
                8.939694172656384e-06,
                1.6701417851043295e-05,
                0.9914225136438216,
                3.12019225291377e-05,
                0.00015843616311419899,
                0.00012339454541047406
            ],
            [
                5.144220125911273e-05,
                2.9023112930659533e-06,
                0.9995121427673181,
                5.144220750533887e-05,
                5.829125150595281e-05,
                7.484624500496053e-05,
                3.7266401725681614e-06,
                1.892514371356847e-05,
                2.1444953512849142e-05,
                2.7535681187990065e-05
            ],
            [
                5.1442207499350526e-05,
                3.1201907541266314e-05,
                9.610241447728756e-05,
                2.144495351940237e-05,
                2.7535697629338066e-05,
                3.5356259075083244e-05,
                2.4300249412738893e-05,
                5.829129321831856e-05,
                1.8925143724239906e-05,
                1.4738980213020151e-05
            ],
            [
                0.9995121429629633,
                0.9984988175424154,
                0.9959298628805827,
                0.9980732657772472,
                0.20181321265898594,
                0.9859363762368013,
                0.9940889323559305,
                0.9859363720269774,
                0.9924227569812929,
                0.9924227588511968
            ],
            [
                1.1478768124553928e-05,
                2.7535697551003934e-05,
                2.1444940715959902e-05,
                2.2603248367512505e-06,
                2.4300252317882297e-05,
                7.88926634755014e-06,
                3.2887482811908074e-06,
                1.3007126912542439e-05,
                2.430023202582134e-05,
                8.939694172770212e-06
            ],
            [
                0.9740426439324669,
                0.999860177897747,
                0.9980732655918835,
                0.9953904271561416,
                0.9914225157109117,
                0.020332351747275688,
                0.03732688801344475,
                0.987568350827604,
                0.9669140222071803,
                0.997817283372101
            ],
            [
                2.4300240731964193e-05,
                0.0002611903681666853,
                7.484622709894109e-05,
                0.00015843615858681702,
                1.8925143712742298e-05,
                5.8291258547708845e-05,
                2.7535687809124434e-05,
                9.610238035360767e-05,
                3.535624649468763e-05,
                5.8291279365509446e-05
            ],
            [
                0.9706877719515359,
                0.9959298614233622,
                0.9959298617876673,
                0.8519528019683106,
                0.9890130592618401,
                NaN,
                0.0021827160280068494,
                NaN,
                0.006692850877848717,
                0.993307150363544
            ],
            [
                3.53562675293277e-05,
                3.535623801292338e-05,
                2.753570419688461e-05,
                4.006369212397934e-05,
                0.00010889689584382082,
                2.144494839142443e-05,
                1.1478766756653273e-05,
                5.144220130215401e-05,
                2.430025228977057e-05,
                6.605216014561575e-05
            ],
            [
                2.7535681206621957e-05,
                1.47389819699641e-05,
                1.8925155002710973e-05,
                8.48110280995769e-05,
                8.939696294652262e-06,
                3.5356259091803945e-05,
                7.88926070328992e-06,
                5.144221331628731e-05,
                5.1442232005568484e-05,
                1.8925152738024674e-05
            ],
            [
                0.999769493369458,
                5.829128617189323e-05,
                1.6701419842521146e-05,
                4.5397857775848465e-05,
                2.4300252315495453e-05,
                6.144173136243255e-06,
                1.4738976698757546e-05,
                1.67014238321306e-05,
                2.1444950969026795e-05,
                1.1478770861650256e-05
            ],
            [
                0.9986749778445153,
                0.008577486926410222,
                0.9988304895646853,
                0.999512142785682,
                0.03732688453300535,
                0.9959298627390133,
                0.9968273166722573,
                0.9968273170713614,
                0.9988304898317691,
                0.9971990733378768
            ],
            [
                0.0007096703905558479,
                0.9953904272822013,
                0.05340332904654947,
                0.9859363714587802,
                0.9991959141037012,
                0.9924227600277652,
                0.0017007223802060476,
                0.999954602147616,
                0.017986206047068843,
                0.0021827165726257813
            ],
            [
                1.4738987233478162e-05,
                1.1478764019996392e-05,
                3.120192616549272e-05,
                2.1444958621558693e-05,
                1.8925157258585e-05,
                2.7535700941409604e-05,
                1.0129993394664264e-05,
                2.4300249422639878e-05,
                4.5397884790260616e-05,
                2.144494583831896e-05
            ],
            [
                5.144221364340114e-05,
                0.9890130586647623,
                2.7535694379773952e-05,
                1.892515500715167e-05,
                0.998830489543607,
                4.539787403691212e-05,
                1.8925152752138513e-05,
                4.006369692540368e-05,
                8.481103119027577e-05,
                8.481104084493117e-05
            ],
            [
                5.829126551609642e-05,
                4.5397874048967995e-05,
                4.006367784548767e-05,
                0.9933071496948637,
                1.147876812538911e-05,
                6.605212090542114e-05,
                0.9953904271668247,
                0.8807970858005139,
                0.9914225126221563,
                8.48110206742489e-05
            ],
            [
                0.9999251537463484,
                0.020332353824983895,
                0.8807970701552505,
                0.9971990735648366,
                0.97702262871007,
                0.13296425394084316,
                0.9959298618763841,
                0.9998766053959677,
                0.9820137919789702,
                0.03308597600516689
            ],
            [
                1.892515500450102e-05,
                6.962255419653012e-06,
                2.1444958607125983e-05,
                7.889265406904397e-06,
                7.88926540679677e-06,
                4.539787939583253e-05,
                2.4300249391876106e-05,
                7.889262584508638e-06,
                3.535623787915785e-05,
                1.0129992185760567e-05
            ],
            [
                0.0066928508190296065,
                1.1478773291003884e-05,
                0.02595735771583442,
                0.02595735757455145,
                0.9740426436028067,
                0.9149009625340367,
                0.9626731102463354,
                0.01798620861321809,
                0.004609571318322525,
                0.9796676448393464
            ],
            [
                7.889264466725156e-06,
                3.535625068000635e-05,
                1.47389819699641e-05,
                1.8925145978942173e-05,
                3.120190392670705e-05,
                2.4300246520590875e-05,
                2.4300232027942982e-05,
                4.006367781356952e-05,
                2.7535691063295662e-05,
                1.8925150490206403e-05
            ],
            [
                0.9990889488747936,
                0.9998766053669288,
                0.9999038976198842,
                0.9859363754232464,
                0.9986749774466079,
                0.9525741264858409,
                0.998830489767854,
                0.9968273165669587,
                0.9975273771333761,
                0.9947798752857806
            ],
            [
                0.9933071476114288,
                0.9989677687178763,
                0.0019267346785505853,
                0.9953904285235687,
                0.9770226284173629,
                0.9968273164248423,
                0.9980732652350359,
                0.9971990732390289,
                0.9940889307059505,
                0.9933071496236615
            ],
            [
                0.9770226278319489,
                0.9924227579407567,
                0.9991959141669761,
                0.9988304897344006,
                0.9740426427551089,
                0.09534947196849916,
                0.9890130567014892,
                0.9959298615403929,
                0.008577483417901103,
                0.9859363734732973
            ],
            [
                6.605217606900554e-05,
                4.539786859541785e-05,
                5.144223811518898e-05,
                0.00037998448282559584,
                7.484621831392271e-05,
                2.753569436424737e-05,
                6.605212886014267e-05,
                0.00013982210724351363,
                0.00012339458912680775,
                0.0013250226951167247
            ],
            [
                0.9953904274531297,
                0.014063624951247102,
                0.9933071487692365,
                5.422220908116881e-06,
                0.9991959139939406,
                0.998299277818238,
                0.012431650372960141,
                0.9890130572378473,
                0.9992903297259333,
                0.9940889310917668
            ],
            [
                4.00636873566599e-05,
                2.753570417654979e-05,
                1.8925150486075525e-05,
                1.3007134654767206e-05,
                4.006367779491416e-05,
                8.939699497595294e-06,
                1.8925155000714377e-05,
                8.939693105662367e-06,
                4.5397879346287815e-05,
                2.144495860837422e-05
            ],
            [
                0.9990889489239607,
                0.060086647228542005,
                0.9994472212781789,
                0.9993736659553845,
                0.9947798743088597,
                0.9993736659148327,
                0.012431652270995073,
                0.060086645124638065,
                0.9968273177716341,
                0.0031726827909404004
            ],
            [
                1.0129987352948008e-05,
                4.785092783267308e-06,
                7.889263526093993e-06,
                1.892515725665725e-05,
                5.144221973168594e-05,
                1.6701429805655623e-05,
                5.829128625501688e-05,
                4.0063701690975316e-05,
                3.120190392409636e-05,
                8.481102059280108e-05
            ],
            [
                0.9998204719503079,
                0.9978172833797074,
                0.9996200155688999,
                4.222834954687752e-06,
                0.9706877713685591,
                0.9964063977228783,
                0.9984988174672067,
                0.99408893212061,
                6.962258739530771e-06,
                1.4738978457041559e-05
            ],
            [
                0.9959298622671156,
                0.9046505376715775,
                0.9770226323479997,
                0.9840936099209598,
                0.9953904269382079,
                0.004609573256223188,
                0.9669140180359896,
                0.9902915230171052,
                0.9982992775098987,
                0.9975273773418393
            ],
            [
                0.9465966739665495,
                0.9820137911893858,
                1.6701429807630274e-05,
                1.892514372479069e-05,
                0.9947798739654865,
                5.144223199471459e-05,
                0.9953904279936908,
                4.222832940942332e-06,
                1.4738981972082061e-05,
                7.484620035835679e-05
            ],
            [
                0.02033235248931431,
                0.9998911030398118,
                0.9998601778762229,
                0.9975273769645381,
                0.9964063967949768,
                0.9859363746742593,
                0.9902915222918358,
                0.9953904267416401,
                0.9984988180835346,
                0.9999251537817999
            ],
            [
                1.1478765377958073e-05,
                1.8925141465200488e-05,
                7.889261644760245e-06,
                6.144172404028807e-06,
                1.4738976699427788e-05,
                5.144221972794322e-05,
                1.0129992185981682e-05,
                1.670142184171555e-05,
                6.14417313680765e-06,
                2.144495863201265e-05
            ],
            [
                0.0015011819440361278,
                0.020332351153644807,
                0.006692851682741841,
                0.00192673509808164,
                0.025957356114627413,
                0.00280092641240231,
                0.0028009263096525575,
                0.9875683484836454,
                0.001169510519764225,
                0.9902915234558483
            ],
            [
                0.00012339454471744759,
                0.9669140220880034,
                1.1478772269577452e-05,
                3.120190388402792e-05,
                5.1442201289803036e-05,
                0.982013793755535,
                0.0001233945449149422,
                8.481101099738277e-05,
                5.8291258442956145e-05,
                0.6791787056691697
            ],
            [
                5.144223184313433e-05,
                5.8291244621538684e-05,
                6.605213676488686e-05,
                2.430023781904283e-05,
                5.144220115356802e-05,
                0.9997965729802551,
                6.605212880872268e-05,
                0.0001584362153589053,
                2.753569765908901e-05,
                5.144223195579028e-05
            ],
            [
                7.484621818541193e-05,
                0.0001233946028742325,
                2.753568450797317e-05,
                2.144495094975719e-05,
                4.006370637288985e-05,
                1.0129989768027317e-05,
                5.829128607647069e-05,
                4.539786852374319e-05,
                3.120190391104291e-05,
                2.753569763394596e-05
            ],
            [
                0.9997040428000331,
                0.9982992772974213,
                0.999704042771505,
                0.9940889298358117,
                0.9669140225647108,
                0.9959298631769345,
                NaN,
                0.9989677688424815,
                0.9978172836393395,
                0.9988304895626455
            ],
            [
                0.9990889489678297,
                0.06008664512463807,
                0.9669140186318741,
                0.9902915235991114,
                0.9933071485556303,
                0.9980732651078781,
                0.9999756997650686,
                0.989013054940615,
                0.9978172840723978,
                0.9999417087553654
            ],
            [
                0.0075772401193058645,
                0.9975273770173717,
                0.9989677692077736,
                0.9875683464141011,
                0.9820137865176772,
                0.9959298628635944,
                0.00970847829017051,
                0.9964063980221743,
                0.9046505267461573,
                0.99142251445165
            ],
            [
                1.4738987241494252e-05,
                1.0129992186774007e-05,
                3.5356259037268745e-05,
                3.12019225022362e-05,
                6.14417679836736e-06,
                1.670141785420273e-05,
                1.14787681240737e-05,
                5.8291272354286105e-05,
                8.939694172542558e-06,
                3.120191877791261e-05
            ],
            [
                6.144173133136295e-06,
                2.430023202688216e-05,
                2.7535704222728874e-05,
                0.00015843623154130547,
                8.939699500636112e-06,
                0.9820137905971975,
                6.605215238359538e-05,
                2.1444956070012293e-05,
                1.0129990973134934e-05,
                2.4300243623139103e-05
            ],
            [
                0.9968273166428032,
                0.9953904287308193,
                0.9998766054140601,
                0.9940889318223549,
                0.9999724643089983,
                0.009708477770841793,
                0.06008665438181588,
                0.9980732651136986,
                0.9914225159326684,
                0.009708477144065794
            ],
            [
                0.0002305067956972775,
                6.60521365423872e-05,
                0.0024726237004769956,
                0.0013250227003543755,
                4.006367777742476e-05,
                0.0002959572313709874,
                7.484623613063591e-05,
                0.00015843619647944052,
                0.009708477224651277,
                0.00012339458951282005
            ],
            [
                5.829127225207798e-05,
                2.14449535222109e-05,
                5.144223814063949e-05,
                2.1444948409679848e-05,
                2.7535697627735324e-05,
                2.7535700906750255e-05,
                6.605212067379089e-05,
                3.1201915058697335e-05,
                1.8925145966893773e-05,
                3.535624646947797e-05
            ],
            [
                8.481104116825446e-05,
                1.6701419848961534e-05,
                2.7535681222849733e-05,
                4.785096205077381e-06,
                4.785093922524176e-06,
                1.1478769480156707e-05,
                1.1478765388523107e-05,
                1.892515726357648e-05,
                3.5356263103743346e-05,
                1.8925143722381014e-05
            ],
            [
                0.9992903297237455,
                0.9986749778894974,
                0.9975273771465845,
                0.9999339478318646,
                0.9995121428025984,
                0.9875683511820562,
                0.9995694429235102,
                0.9990889488717206,
                0.9991959138796905,
                0.9986749776000402
            ],
            [
                4.5397857547612625e-05,
                1.3007134657984903e-05,
                2.144495096083526e-05,
                5.144223202577919e-05,
                3.120192250723057e-05,
                4.0063687394553603e-05,
                4.539789019426799e-05,
                1.4738980207899506e-05,
                0.00010889696055741044,
                5.829129323782717e-05
            ],
            [
                0.9996200155173954,
                0.9902915241363479,
                0.9998766054552628,
                0.9914225135963023,
                0.9914225139447773,
                0.9997694933702762,
                0.06754669160889748,
                NaN,
                0.9924227576816316,
                0.9998204719706058
            ],
            [
                0.9324533093296393,
                0.9046505267461572,
                0.9914225125904766,
                0.002800927049060668,
                0.9933071489735557,
                0.9953904273997146,
                0.0008040860945412306,
                0.014063630026280721,
                0.994779873537479,
                0.9999485577679911
            ],
            [
                0.05340333168301119,
                0.9968273170338073,
                NaN,
                0.0024726230216792254,
                0.9975273773694047,
                0.9978172830511104,
                0.010986944998665253,
                0.9990889489804394,
                0.9859363718074466,
                NaN
            ],
            [
                0.0031726822762289104,
                0.9964063981672371,
                6.605215240233725e-05,
                0.9968273174653108,
                1.8925148232956223e-05,
                0.02595735861062662,
                0.007577241842138349,
                3.5356250681935664e-05,
                8.481102103150874e-05,
                9.610242595625959e-05
            ],
            [
                5.1442213479469955e-05,
                3.535624646150348e-05,
                5.144223182180082e-05,
                0.00012339460296938902,
                4.5397852394305204e-05,
                9.610246005059053e-05,
                0.00010889690892692112,
                5.829125836916275e-05,
                1.6701427794095925e-05,
                2.4300232034838305e-05
            ],
            [
                0.9998415637078946,
                0.999088948882529,
                0.9982992779261567,
                0.9993736656950226,
                0.9996646498142715,
                0.9998601778781822,
                0.9996646499719007,
                0.022977368655567088,
                0.9998204719705692,
                0.9999251537997914
            ],
            [
                0.9978172831657136,
                0.9999546021151833,
                0.9959298631901476,
                0.9875683513764332,
                0.012431651253373898,
                0.9999756997621958,
                0.9964063977937423,
                0.9875683489181353,
                0.9999546021423605,
                0.9902915236617891
            ],
            [
                0.03308597791199667,
                0.9986749776038915,
                0.9999599363030796,
                0.98593637037404,
                0.9990889486296997,
                0.998073265578899,
                0.9999898700102309,
                0.9984988176582823,
                0.9982992773656116,
                0.9988304895646853
            ],
            [
                0.9991959140297637,
                0.00029595716630673294,
                3.5356238059741304e-05,
                0.9933071487197048,
                9.610239186473745e-05,
                2.430023203572232e-05,
                5.829127937441555e-05,
                2.7535697654881812e-05,
                2.1444945853999886e-05,
                2.430024072471526e-05
            ],
            [
                0.9995121429216091,
                0.9999998461826038,
                0.9993736659557851,
                0.9996646497441404,
                0.9968273171545694,
                0.9998911030396311,
                0.9997965731017073,
                0.9959298627125871,
                0.9988304896948276,
                0.9980732655838241
            ],
            [
                0.9980732655771081,
                0.9982992772201387,
                0.9980732652556318,
                0.9626731127897337,
                0.0017007227430977598,
                0.9984988180720177,
                0.9953904287201363,
                0.0075772423743956175,
                0.9820137859254887,
                0.997817283647453
            ],
            [
                0.9968273169579629,
                0.003593602689800316,
                0.003593602798180545,
                2.430023493228869e-05,
                0.001501182172977825,
                0.9924227590823084,
                0.002182716940268992,
                0.04742587856304459,
                0.015906390807957364,
                0.9933071489456939
            ],
            [
                3.12019076269651e-05,
                2.753568440970495e-05,
                3.2887478892683997e-06,
                2.7535694378772238e-05,
                5.715002426410745e-07,
                1.3007128461838766e-05,
                2.2603251062147097e-06,
                2.1444948411552198e-05,
                2.1444956070012293e-05,
                2.1444953523537147e-05
            ],
            [
                2.1444943281001e-05,
                5.422218969661113e-06,
                4.7850950647493785e-06,
                1.0129987356706945e-05,
                5.144219517045583e-05,
                5.8291251536063904e-05,
                2.7535691083329963e-05,
                0.00010889689556653582,
                1.6701421842566163e-05,
                0.00023050670803570215
            ],
            [
                1.8925150457297062e-05,
                1.6701423829669885e-05,
                3.1201922523121745e-05,
                2.4300237797030833e-05,
                1.3007130009739366e-05,
                3.5356246473207964e-05,
                3.1201922486004504e-05,
                5.829125135158043e-05,
                4.0063701563302636e-05,
                2.144494840531103e-05
            ],
            [
                0.9999687980998182,
                0.9990889487275041,
                0.9991959140326633,
                0.9997040428489347,
                0.9933071480107796,
                0.9975273771707042,
                0.9984988174117163,
                0.9994472213634301,
                0.9995121427840642,
                0.9953904281432532
            ],
            [
                5.144221971259806e-05,
                5.829125141519542e-05,
                1.8925152750692706e-05,
                5.422218969532895e-06,
                3.288748281295496e-06,
                1.0129990979381404e-05,
                2.4300234937946394e-05,
                1.4738988990959142e-05,
                1.4738978451438343e-05,
                4.222835458002318e-06
            ],
            [
                0.9995694429678753,
                0.8354835391516133,
                0.9986749775601417,
                0.9995694429138906,
                0.9902915232767695,
                0.9971990735167134,
                0.9947798732497225,
                0.9998204720130666,
                0.9980732654517414,
                0.9971990736051562
            ],
            [
                0.9986749773503276,
                0.9978172835130731,
                0.994779874794902,
                0.9984988180983669,
                0.9953904271839176,
                0.007577239888194219,
                0.9968273174174478,
                0.998498817591275,
                0.005911068289832748,
                0.9875683502673407
            ],
            [
                0.9978172837432938,
                0.9990889487677703,
                0.03732688547004671,
                0.9989677689999785,
                0.022977371206299498,
                0.9968273169623809,
                0.9988304895146412,
                0.9999687980886387,
                0.999088948923537,
                0.9989677688069485
            ],
            [
                0.9947798738639253,
                0.9940889297892949,
                0.9796676447280407,
                0.0021827162546778404,
                0.017986212791436227,
                0.9994472213373821,
                0.9840936078508349,
                0.999964643753815,
                0.9770226323479997,
                0.9964063973568866
            ],
            [
                1.1478766754377407e-05,
                1.3007125361755747e-05,
                2.7535694373763664e-05,
                3.120190018853766e-05,
                1.0129987351621326e-05,
                1.0129988564264954e-05,
                4.006370165745395e-05,
                1.3007133114011233e-05,
                1.6701419848961534e-05,
                2.4300249415479343e-05
            ],
            [
                2.4300243628620005e-05,
                0.9902915257032875,
                0.0001233945593607748,
                3.120191507333991e-05,
                1.0129987356541108e-05,
                1.8925155005051806e-05,
                8.481105137391814e-05,
                9.610238041093959e-05,
                3.53562506982705e-05,
                1.67014178576052e-05
            ],
            [
                0.00010889694783239789,
                2.7535681242383173e-05,
                3.12019113204131e-05,
                0.9997694932870614,
                2.7535691056684346e-05,
                4.0063682543577104e-05,
                0.9995121429424423,
                4.222832437677995e-06,
                7.484620032132827e-05,
                1.4738983728490028e-05
            ],
            [
                0.000911051271224325,
                0.0024726227064001214,
                NaN,
                0.0008040859719666725,
                0.9995694429224581,
                0.9994472214088375,
                0.9971990731928565,
                0.9971990736012543,
                0.9959298629051214,
                0.9579122704322899
            ],
            [
                0.9984988180276952,
                0.0002959570248807216,
                0.0006263342253677171,
                0.9999339478406631,
                0.0006263341545752628,
                0.9840936049934791,
                0.18242552380635632,
                0.0006263342400144328,
                0.9999038976200072,
                0.03732688734412946
            ],
            [
                0.9992903296526632,
                0.998073264897441,
                0.9996200155217069,
                0.9990889487737572,
                0.9997965730286869,
                0.9046505376715775,
                0.9968273171810781,
                0.01798620798813042,
                0.995929861470552,
                0.9840936072677011
            ],
            [
                8.481102112097796e-05,
                0.022977369031904643,
                6.605214465761795e-05,
                0.0009110511732079073,
                0.002472622897634983,
                9.610244922114349e-05,
                4.0063711274151284e-05,
                0.9924227576396112,
                0.00020342692493541625,
                0.9924227585080309
            ],
            [
                0.9859363751778886,
                0.9998415638332344,
                0.9706877682416838,
                0.9999485577685974,
                0.005220124941522722,
                0.002472623556332953,
                0.9998766053825165,
                NaN,
                0.004070137966945793,
                0.9859363701545093
            ],
            [
                0.9986749778445153,
                0.9975273770891566,
                0.9968273170956611,
                0.9982992779526423,
                0.9982992776551739,
                0.9997040429418896,
                0.9968273170603161,
                0.9999485578047775,
                0.9984988180128628,
                0.9992903295844704
            ],
            [
                4.006370705672574e-05,
                5.144219523595344e-05,
                0.00015843621574156602,
                3.535625069312567e-05,
                9.610246036941213e-05,
                5.422220908402905e-06,
                0.00013982213960056917,
                5.8291251569143705e-05,
                0.00010889690897128673,
                0.00015843629022672443
            ],
            [
                4.5397884859458064e-05,
                7.88926634755014e-06,
                1.1478768125201194e-05,
                1.3007130013572209e-05,
                3.5356259096177054e-05,
                1.4738981969615573e-05,
                4.5397884843438604e-05,
                5.144220130215401e-05,
                2.1444953516281788e-05,
                8.939694172290508e-06
            ],
            [
                0.9999038975968856,
                0.005911068971167784,
                0.9964063972393358,
                0.9997040429162032,
                0.08509905254807777,
                0.9997694933149025,
                0.10669059252545562,
                0.9991959141977016,
                0.00192673486346661,
                0.9968273175919636
            ],
            [
                0.998498817595812,
                0.992422758028299,
                0.07585818628900447,
                0.99781728329198,
                0.9959298613327576,
                0.9997694932088971,
                0.9999038976194708,
                0.9998601779101323,
                0.9914225157188316,
                0.999088948943882
            ],
            [
                0.9959298628711448,
                0.9971990723923186,
                0.020332352823231696,
                0.010986942397833988,
                0.9997388095754363,
                0.9995694429905214,
                0.9859363735895195,
                0.009708474439975514,
                0.9933071505709586,
                0.9989677689353951
            ],
            [
                0.817574478416099,
                0.9991959140548304,
                0.033085980772241536,
                0.9820137860570862,
                0.042087724461246416,
                0.998498817439985,
                0.9995694429907469,
                0.009708475254784096,
                0.9982992773474275,
                0.9982992778753598
            ],
            [
                0.994088930596499,
                0.9984988176877726,
                0.9875683520167341,
                0.8670357563664174,
                0.9820137907287948,
                0.9999339478637579,
                0.9984988179795337,
                0.9924227591873591,
                0.029312232341292967,
                0.9994472213576738
            ],
            [
                0.9947798750778223,
                0.9859363723885574,
                0.006692849853157992,
                0.9875683509076416,
                0.9525741301883566,
                NaN,
                0.9626731141283641,
                0.9525741236248059,
                0.015906395414714686,
                0.9975273770185202
            ],
            [
                0.9914225143011721,
                0.9924227588792103,
                0.9902915228648881,
                0.03732688868276005,
                0.9986749772749979,
                0.9998911030801148,
                0.9999485577986424,
                0.9975273772063095,
                0.9959298618518454,
                0.9975273763896848
            ],
            [
                2.753570422373059e-05,
                0.009708474296712474,
                4.539786316564981e-05,
                0.9993736657047142,
                0.00020342706618176238,
                0.999512142840944,
                7.484622686261196e-05,
                9.610238052909926e-05,
                0.01798620989629285,
                0.9902915237960981
            ],
            [
                6.144177531532303e-06,
                7.889262585642319e-06,
                3.7266383955611403e-06,
                1.473898899908247e-05,
                5.8291293265817787e-05,
                1.3007123809644304e-05,
                5.144223811518898e-05,
                1.1478766756214804e-05,
                6.962256249606473e-06,
                4.5397879429522924e-05
            ],
            [
                8.939697368110433e-06,
                2.7535681240079227e-05,
                3.120191878631223e-05,
                3.120191135264947e-05,
                1.8925152750176348e-05,
                0.00012339460371807342,
                1.1478766755734576e-05,
                1.670141984385783e-05,
                8.939698435226916e-06,
                4.5397857673786415e-05
            ],
            [
                2.7535687801010546e-05,
                4.006371123640331e-05,
                0.9999151889790118,
                3.726640616670918e-06,
                2.753570422373059e-05,
                1.6701427798409776e-05,
                0.9997388097853767,
                2.7535691083329963e-05,
                4.53978523645784e-05,
                1.4738978457604563e-05
            ],
            [
                7.484620909436473e-05,
                0.00010889696079508345,
                0.0002305066580679484,
                4.006369687905675e-05,
                4.006368734849818e-05,
                5.8291286317783706e-05,
                0.00017952802939421127,
                7.48462180835835e-05,
                0.0002611903037976178,
                0.00012339454506575626
            ],
            [
                8.481101084374256e-05,
                NaN,
                0.00023050681908488169,
                8.481108099996713e-05,
                9.610241436681871e-05,
                9.610243735692595e-05,
                2.753568781423318e-05,
                5.82912445884589e-05,
                5.14422381473764e-05,
                6.60521445480501e-05
            ],
            [
                0.9993736659170915,
                0.9968273165492862,
                0.999860177943238,
                0.9986749777594806,
                0.9986749778049249,
                0.991422514800125,
                0.9840936113204807,
                0.9959298630334775,
                0.9924227602448701,
                0.9986749774361326
            ]
        ]
    },
    {
        "q_id": "10515_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                NaN,
                7.889266341939142e-06,
                8.481103070097168e-05,
                0.0007096704963537745,
                0.003593602989930189,
                1.1478763999534472e-05,
                4.539785769789816e-05,
                0.00013982205626158527,
                0.0021827160335848826,
                0.00017952804536141472
            ],
            [
                3.7266392835086923e-06,
                7.889263523869684e-06,
                4.785096205260165e-06,
                1.3007126905042372e-05,
                2.902311984915459e-06,
                1.3709568799243436e-06,
                5.422217676397663e-06,
                9.422449306655632e-07,
                0.001501182564028473,
                2.2603240283888175e-06
            ],
            [
                6.475950297038162e-07,
                1.9947299591826594e-06,
                3.7266379512112265e-06,
                3.288749848749297e-06,
                0.0024726228666239235,
                0.0035936029565824235,
                2.260324836651547e-06,
                6.144176066051891e-06,
                0.000626334257976699,
                1.994729008074216e-06
            ],
            [
                1.0129987354108855e-05,
                2.260324836624822e-06,
                7.889263523668778e-06,
                2.561282515662579e-06,
                2.5612815998491325e-06,
                8.315282258900085e-07,
                1.7603427934702357e-06,
                3.7266406162947e-06,
                2.5612828210277558e-06,
                3.2887482811579057e-06
            ],
            [
                2.9023126768680736e-06,
                1.994729245555571e-06,
                1.067702869764479e-06,
                0.00017952800758656067,
                8.93969842042934e-06,
                2.9023119847359636e-06,
                1.7603434226854702e-06,
                7.889265404328504e-06,
                3.7266401720529807e-06,
                4.222834450743383e-06
            ],
            [
                7.889266343316778e-06,
                6.144172403201774e-06,
                2.902311984683171e-06,
                0.0013250224514119336,
                0.9999869928746651,
                0.005911067690586336,
                6.144176797115634e-06,
                5.4222202613172164e-06,
                0.0008040859181386293,
                1.147876537896029e-05
            ],
            [
                1.5534981249397663e-06,
                3.2887494571676872e-06,
                2.561281294558644e-06,
                9.42245042986385e-07,
                1.0677029971978802e-06,
                6.962253757840428e-06,
                6.144176065940129e-06,
                2.5612812946681295e-06,
                5.715007195431641e-07,
                2.2603251060738913e-06
            ],
            [
                3.535626325448691e-05,
                0.00017952789382322926,
                2.902313368897403e-06,
                4.2228334426935205e-06,
                0.0001233945737204296,
                3.288750632349357e-06,
                1.0129989752659902e-05,
                3.7266401702023975e-06,
                0.0015011826111430157,
                6.605216686722243e-05
            ],
            [
                6.475945665523951e-07,
                4.222833947728508e-06,
                1.9947292451963607e-06,
                8.939698433373153e-06,
                1.3709576970949014e-06,
                1.0677024881499412e-06,
                2.2603237586397375e-06,
                2.9023130228444433e-06,
                2.260323489299784e-06,
                1.473898898859989e-05
            ],
            [
                4.222835457364773e-06,
                1.0677029972639127e-06,
                3.726639283440905e-06,
                1.3709570433536782e-06,
                5.422219613353806e-06,
                0.01590639494820756,
                6.475946435284131e-07,
                3.7266397276757403e-06,
                8.939695233292452e-06,
                NaN
            ],
            [
                7.338212429307298e-07,
                7.338208055229508e-07,
                2.4300249398417826e-05,
                2.9023109470554753e-06,
                3.2887482809933958e-06,
                1.2098655392222467e-06,
                1.7603432125739959e-06,
                6.962257905676445e-06,
                3.288749065077638e-06,
                1.994729007936337e-06
            ],
            [
                1.5534979396448094e-06,
                5.715003788853339e-07,
                2.561282821106957e-06,
                1.7603427936079236e-06,
                1.0677029972920738e-06,
                0.00037998447676756454,
                1.9947301966568707e-06,
                1.7603427935678977e-06,
                2.260324567087388e-06,
                7.338209805040511e-07
            ],
            [
                6.962256246035174e-06,
                6.962259566204604e-06,
                4.785095064601411e-06,
                3.2887490645272776e-06,
                1.7603432131855856e-06,
                3.7266379505740294e-06,
                2.5612812945889277e-06,
                6.144173868781898e-06,
                6.14417606469958e-06,
                4.222833947674739e-06
            ],
            [
                0.001169510352768866,
                1.7603425828929402e-06,
                6.144174599174813e-06,
                1.5534981248712412e-06,
                6.144173855739367e-06,
                1.370957043010787e-06,
                1.0129989769962063e-05,
                6.96225956643256e-06,
                2.9023123306594577e-06,
                4.785093353274332e-06
            ],
            [
                1.0129987350147233e-05,
                1.4738983717819781e-05,
                2.5612825153504304e-06,
                2.1444958620544503e-05,
                2.1444958622572883e-05,
                2.4300243607668818e-05,
                7.88926446135094e-06,
                1.1478768485205848e-05,
                3.726639727092773e-06,
                1.8925141419210048e-05
            ],
            [
                1.4738985472244041e-05,
                2.430024059971538e-05,
                5.422220261948442e-06,
                1.3007134659924986e-05,
                7.889262584350785e-06,
                3.120190755988168e-05,
                1.670141781543888e-05,
                0.014063626462134785,
                1.4738988948760721e-05,
                6.962257890150154e-06
            ],
            [
                0.0019267347909329615,
                2.561283126048207e-06,
                2.5612831264302397e-06,
                3.1201899959137366e-05,
                6.962257907158154e-06,
                0.00023050665193767708,
                0.003172683404323444,
                1.0129992167666078e-05,
                5.422217675085898e-06,
                5.144222843763129e-05
            ],
            [
                3.7266392835764795e-06,
                1.7603430034655858e-06,
                2.56128282131428e-06,
                3.72663839489005e-06,
                3.288749849000549e-06,
                4.785093923690512e-06,
                3.7266388393349185e-06,
                2.5612822104977725e-06,
                1.7603425835461557e-06,
                4.2228349543420954e-06
            ],
            [
                7.889259757041033e-06,
                1.3007130003351296e-05,
                1.8925148196329095e-05,
                1.4738981956371603e-05,
                1.4738985470903557e-05,
                2.902311983859607e-06,
                6.144175333635923e-06,
                6.962258735839161e-06,
                6.96225375833433e-06,
                2.9023109455878416e-06
            ],
            [
                2.1024334103122815e-07,
                6.475947209114281e-07,
                2.260324567087388e-06,
                2.2603251058292572e-06,
                4.4508526415598164e-07,
                9.422443692330485e-07,
                1.760343422832764e-06,
                5.422220260656402e-06,
                7.338212429167144e-07,
                2.9023126768258393e-06
            ],
            [
                7.88926258381982e-06,
                4.222834954687752e-06,
                5.144221967142812e-05,
                2.2603242978007868e-06,
                3.7266383954560706e-06,
                2.9023130228840374e-06,
                7.889263524257144e-06,
                6.962254588433232e-06,
                1.6701429789281226e-05,
                6.144176797998549e-06
            ],
            [
                2.2603237587774727e-06,
                1.760343842556269e-06,
                7.889263522779056e-06,
                4.222833947282995e-06,
                1.0129987354108855e-05,
                6.1441760657054305e-06,
                3.28874945711983e-06,
                3.726640616630245e-06,
                1.1478773597390071e-05,
                2.3823693837735673e-07
            ],
            [
                3.288748280891699e-06,
                6.962259568078904e-06,
                4.222834449921489e-06,
                2.902311637804172e-06,
                2.4300240607141115e-05,
                8.9396930985075e-06,
                1.0129994528868424e-05,
                6.144176064531938e-06,
                2.5612815989289934e-06,
                1.6701417847458553e-05
            ],
            [
                5.422220261948442e-06,
                6.144176798590883e-06,
                3.120190391410763e-05,
                2.430024648072174e-05,
                6.962254588281262e-06,
                1.1478765376914098e-05,
                1.4738976674655674e-05,
                2.561282821209454e-06,
                1.670142978022822e-05,
                2.902311983775138e-06
            ],
            [
                0.001032231134470207,
                0.02033235490094001,
                0.0015011820695003616,
                1.0129989765595064e-05,
                2.26032429704016e-06,
                6.144177530548804e-06,
                0.005220125159153614,
                0.0066928524783478344,
                5.422221555133606e-06,
                1.3007125360146898e-05
            ],
            [
                8.315277301688584e-07,
                1.0677027427471959e-06,
                0.020332351932785337,
                2.5612819046527985e-06,
                0.005220124757745532,
                1.7603432128013408e-06,
                1.7603425836005905e-06,
                1.7603434230312906e-06,
                5.71500378868701e-07,
                2.5612828195229196e-06
            ],
            [
                1.147876537941964e-05,
                6.144174600325954e-06,
                4.222832437386106e-06,
                3.2887502409830123e-06,
                3.726641060773727e-06,
                1.5534975693205863e-06,
                2.9023133686835932e-06,
                2.902313022984344e-06,
                7.889263525261671e-06,
                7.889263523453522e-06
            ],
            [
                7.889265405849647e-06,
                4.785095064436034e-06,
                3.726638838528254e-06,
                4.222832437109582e-06,
                3.288748280837859e-06,
                7.889262583231455e-06,
                2.561282210530385e-06,
                2.5612815999679353e-06,
                6.144173868670137e-06,
                1.1478772226690907e-05
            ],
            [
                4.785092782779884e-06,
                1.0129989769962063e-05,
                3.5356259125502595e-05,
                1.1478765388105516e-05,
                4.785096774693134e-06,
                6.962256246491084e-06,
                3.7266401721817755e-06,
                1.6701419843189485e-05,
                5.422218969306048e-06,
                6.144175333289463e-06
            ],
            [
                1.0129988553375097e-05,
                0.025957359835079137,
                3.7266388388875246e-06,
                1.1478772219424831e-05,
                8.939694170062744e-06,
                1.994729959224386e-06,
                4.222832437109582e-06,
                2.902311638759718e-06,
                1.0129990954929888e-05,
                6.9622554173544636e-06
            ],
            [
                2.260324566803695e-06,
                1.8925145977014425e-05,
                3.2887478884069663e-06,
                4.785095632885315e-06,
                1.012998856312253e-05,
                2.260323488317136e-06,
                6.144174599174813e-06,
                2.9023133683457202e-06,
                0.00043055713309236507,
                4.222834450328596e-06
            ],
            [
                3.726638395493353e-06,
                7.889264464508026e-06,
                1.99472900796355e-06,
                4.22283193393364e-06,
                4.222834954211514e-06,
                2.9023126769762986e-06,
                3.2887482796653523e-06,
                1.067702742683591e-06,
                2.561281599734989e-06,
                4.222834954403545e-06
            ],
            [
                0.9999945777816768,
                0.9999967112513274,
                0.9993736659899973,
                0.9999970976887074,
                0.9999910603068953,
                0.00013982203935780473,
                0.0003353501665662713,
                0.9999921107345932,
                0.9999980052700408,
                0.9999756997650743
            ],
            [
                5.422217675756574e-06,
                1.3007125356952865e-05,
                3.7266388395620047e-06,
                0.0004305571270425647,
                0.005911069655239183,
                0.004609571743506836,
                0.9997040429060166,
                1.0129987356191011e-05,
                1.5534984953199313e-06,
                2.144494072376136e-05
            ],
            [
                1.6701425817016872e-05,
                2.9023126767360923e-06,
                0.00407013707977787,
                0.0019267349883856778,
                4.785093923516432e-06,
                0.0015011824099464785,
                0.9992903295671333,
                5.422220257717255e-06,
                2.4300249313110237e-05,
                0.00026119027360419877
            ],
            [
                2.561281905293402e-06,
                3.2887502403130076e-06,
                2.9023126768258393e-06,
                2.260325106045111e-06,
                2.561283126502453e-06,
                6.96225541788636e-06,
                1.5534981247907057e-06,
                1.067702869935387e-06,
                3.726640170920939e-06,
                1.9947301969217434e-06
            ],
            [
                4.222832939870796e-06,
                4.222831934156396e-06,
                4.2228329408924035e-06,
                4.785092782858221e-06,
                3.7266392838544054e-06,
                4.222834953804408e-06,
                8.315284240985381e-07,
                4.22283193393364e-06,
                1.4738985482753428e-05,
                7.889266345584138e-06
            ],
            [
                4.7850933535659155e-06,
                5.4222170284247e-06,
                0.00029595704905161386,
                4.7850933535659155e-06,
                0.000552778529354547,
                2.5612825157464395e-06,
                4.222832939663403e-06,
                0.9997388097623193,
                2.56128282131428e-06,
                0.0007096705187269626
            ],
            [
                1.7603438427852151e-06,
                3.7266406161591266e-06,
                4.2228349539810764e-06,
                1.5534971989258068e-06,
                2.902311292920774e-06,
                4.222833443891798e-06,
                2.9023130229209922e-06,
                1.7603434230312906e-06,
                2.902311292920774e-06,
                8.939693100686484e-06
            ],
            [
                1.067702615330819e-06,
                1.0677024881887838e-06,
                2.9023126768258393e-06,
                3.927861534406222e-07,
                1.7603432132784448e-06,
                2.9023133683457202e-06,
                6.9622562487453084e-06,
                2.9023116390104826e-06,
                0.9999251537476258,
                3.2887486720783454e-06
            ],
            [
                0.00026119030616870954,
                0.0021827164706998818,
                2.561282209249179e-06,
                1.994729721265813e-06,
                1.4738988988010078e-05,
                3.7266406155693803e-06,
                0.0035936026381112843,
                0.02595735653847632,
                0.9999724642991519,
                1.3007125359034903e-05
            ],
            [
                0.00029595705842031086,
                0.0013250221913780461,
                2.9023133684090715e-06,
                1.9947292458603553e-06,
                4.222833442570621e-06,
                0.001169510491750344,
                1.4738981963234875e-05,
                0.0009110510556941837,
                4.785094494402695e-06,
                1.4738981964307261e-05
            ],
            [
                2.144494064910142e-05,
                0.003172682649560412,
                2.902311638596061e-06,
                0.0001584361566550726,
                0.004609571401650101,
                0.0001584361551382614,
                2.9023133682084594e-06,
                1.1478766753751021e-05,
                2.2603251057429158e-06,
                0.001032230961247481
            ],
            [
                0.0013250224061216675,
                1.0677024881499412e-06,
                1.760343422832764e-06,
                3.288749849060371e-06,
                2.5612834318257725e-06,
                4.222835457794923e-06,
                2.430024937233934e-05,
                3.7266383931411477e-06,
                2.5612828210277558e-06,
                3.726641060658489e-06
            ],
            [
                6.144176792712241e-06,
                8.939698431942181e-06,
                4.2228334437304904e-06,
                1.9947290074138497e-06,
                3.7266392836374875e-06,
                3.2887506318707824e-06,
                1.0129994596087078e-05,
                1.3007128457958606e-05,
                4.222834450505264e-06,
                4.222835456903897e-06
            ],
            [
                2.2603234888228504e-06,
                3.2887482800422294e-06,
                1.3007131560621253e-05,
                4.222832941034507e-06,
                2.902313022802209e-06,
                4.7850933527085725e-06,
                4.785095634121282e-06,
                8.481104114048815e-05,
                1.553498309846199e-06,
                2.5612828208879873e-06
            ],
            [
                3.726638838528254e-06,
                1.5534975693036317e-06,
                0.0179862128901343,
                1.892514823364471e-05,
                2.5612812936105517e-06,
                2.9023109470871505e-06,
                6.962256249429175e-06,
                8.939695171597969e-06,
                1.9947301970106386e-06,
                4.222834953082369e-06
            ],
            [
                0.9999852610145203,
                0.999988521226405,
                0.999512142893311,
                0.999993037740433,
                0.9999898700041916,
                0.9999869928699935,
                0.9999852610233173,
                0.999986992869989,
                0.9999785550439492,
                0.9978172831464441
            ],
            [
                0.9999038975850787,
                7.484625364295695e-05,
                0.9999785550413746,
                0.9998766054408296,
                0.9914225149981221,
                1.012999338780973e-05,
                1.6701419836749094e-05,
                0.9953904268164213,
                8.481106086382899e-05,
                0.9999646437325144
            ],
            [
                5.422218968349347e-06,
                2.2603248367358324e-06,
                4.222831933649433e-06,
                0.017986210554279937,
                0.9984988176605508,
                0.0007096704185429685,
                0.008577484867239912,
                2.2603242978007868e-06,
                9.610246016665278e-05,
                1.5534971989696065e-06
            ],
            [
                0.00015843621470884312,
                2.260323758882316e-06,
                4.785092782396909e-06,
                6.144176795193342e-06,
                1.760344051944157e-06,
                4.0063691877087265e-05,
                5.422220261652556e-06,
                8.9396962925058e-06,
                3.120190390934028e-05,
                5.42222155240158e-06
            ],
            [
                2.2603237586397375e-06,
                0.9902915214949349,
                0.0179862133836247,
                1.3709572066334069e-06,
                1.0677028699955933e-06,
                0.0011695102936133493,
                2.9023123307122503e-06,
                0.01590638970000327,
                8.9396941702904e-06,
                0.0008040858872260885
            ],
            [
                1.1478766753082876e-05,
                6.1441731363550164e-06,
                5.422217030032353e-06,
                2.9023119850210436e-06,
                7.889260703117714e-06,
                7.889263522291142e-06,
                6.962258738574625e-06,
                4.785093923324944e-06,
                1.8925141463066202e-05,
                5.422220906864292e-06
            ],
            [
                2.561281599776919e-06,
                3.288750240486491e-06,
                2.9023116388072315e-06,
                6.144176062777288e-06,
                6.144176062553765e-06,
                6.144177523362556e-06,
                1.0129993390610508e-05,
                4.222833444106873e-06,
                2.9023109467070445e-06,
                3.7266379505740294e-06
            ],
            [
                7.338209804399802e-07,
                4.450848927478102e-07,
                3.2887486717014682e-06,
                3.2887506327561457e-06,
                2.902313022952668e-06,
                0.0017007222928432397,
                0.0006263342570293989,
                1.9947301969471416e-06,
                1.2098658277335738e-06,
                1.067702742726318e-06
            ],
            [
                2.561282515886208e-06,
                2.2603234890695403e-06,
                5.422217676101776e-06,
                6.144175332283612e-06,
                3.2887486722518283e-06,
                0.002182716440274241,
                2.5612819052072116e-06,
                5.043472278299047e-07,
                1.760343003208622e-06,
                7.889266345397582e-06
            ],
            [
                0.9999599363222348,
                0.0007096703226932766,
                0.9998204720998897,
                0.0013250223682257315,
                0.9999785550490627,
                0.9999599363174135,
                0.9994472212581443,
                0.9998204720266046,
                0.9998766054695848,
                0.9999546021432293
            ],
            [
                4.222834450820197e-06,
                5.82912653227068e-05,
                0.02595735743326847,
                0.006692849846966507,
                4.22283294098842e-06,
                6.9622545872301346e-06,
                0.999941708735087,
                2.561283431371526e-06,
                3.7266401708124794e-06,
                2.9023112930949896e-06
            ],
            [
                7.88925976126004e-06,
                1.5534977545243671e-06,
                6.144175333021237e-06,
                2.561281905390075e-06,
                4.222833442171196e-06,
                1.7603425835173373e-06,
                6.962257079275089e-06,
                2.9023123292710123e-06,
                1.0677033791291683e-06,
                1.5534971988904843e-06
            ],
            [
                5.422217675628357e-06,
                1.3007123769399476e-05,
                3.2887506332466845e-06,
                1.0129993390942177e-05,
                6.9622587372828785e-06,
                2.144495350060085e-05,
                5.422218968714274e-06,
                4.785094491582601e-06,
                6.144176064364297e-06,
                5.422219615188307e-06
            ],
            [
                1.370956716519966e-06,
                1.5534981249291695e-06,
                9.422443692489024e-07,
                1.3709568799368123e-06,
                2.561282515820982e-06,
                7.338213304016384e-07,
                5.715005832853093e-07,
                1.5534973840377051e-06,
                2.902311292783513e-06,
                2.9023116388072315e-06
            ],
            [
                7.889263518043432e-06,
                3.53562379478413e-05,
                1.6701415792184637e-05,
                6.144174600605357e-06,
                1.4738988977125352e-05,
                2.902313368820854e-06,
                3.535623790822613e-05,
                1.670142979608617e-05,
                5.144221251534501e-05,
                6.962259565976648e-06
            ],
            [
                1.0129994600859455e-05,
                7.33821155404437e-07,
                1.3007130010543792e-05,
                4.539786857361818e-05,
                0.002472622642655171,
                5.422218969029887e-06,
                4.7850933535006355e-06,
                0.00043055716211387205,
                1.3709570431005619e-06,
                3.7266410601636445e-06
            ],
            [
                5.422217673557147e-06,
                1.9947297211279344e-06,
                4.785093923768848e-06,
                5.422217028582506e-06,
                2.9023109454928147e-06,
                6.962258731330711e-06,
                5.422217674287002e-06,
                2.902312330891746e-06,
                2.902313022984344e-06,
                2.561283125288801e-06
            ],
            [
                0.0005527787144569414,
                0.8933094103149355,
                0.00029595712152985894,
                0.0004305571075779905,
                1.3007128452848148e-05,
                9.610246048267771e-05,
                7.889266346129453e-06,
                7.889263518043432e-06,
                0.0017007221596248487,
                3.5356267506175954e-05
            ],
            [
                0.0004305570482824394,
                0.022977371666267666,
                1.0129988562661878e-05,
                0.0003353500628623083,
                0.00669285028037042,
                6.962257908880483e-06,
                0.0031726822342567325,
                3.28875024092319e-06,
                0.0021827166973709187,
                2.902311984915459e-06
            ],
            [
                3.7266379500520703e-06,
                2.260325375354421e-06,
                2.3823690998803445e-07,
                6.144177530146464e-06,
                2.561281905100056e-06,
                7.889266346603015e-06,
                3.2887486729876365e-06,
                3.2887494572514376e-06,
                2.2603234894560207e-06,
                0.0006263342973989564
            ],
            [
                7.889259760025908e-06,
                6.605215222741307e-05,
                9.422447061456491e-07,
                6.144173135025058e-06,
                6.605212646262516e-05,
                2.5612812944118885e-06,
                8.939700564890901e-06,
                1.3709570432888404e-06,
                1.2098658274331742e-06,
                1.3709568798220997e-06
            ],
            [
                0.00218271603713454,
                0.0003353502089298714,
                0.005220124656184457,
                0.9999852610180403,
                3.1201900131669995e-05,
                6.605213643522215e-05,
                0.9999785550516006,
                0.00029595698146439624,
                0.9999957771645431,
                0.00023050667360154694
            ],
            [
                3.2887506295257666e-06,
                0.00023050682151955356,
                1.9947304344830644e-06,
                0.0001398220396772046,
                1.0129989762757436e-05,
                0.9996646498631135,
                5.422220262037209e-06,
                9.610246007995566e-05,
                1.0129989768322136e-05,
                4.222835456466066e-06
            ],
            [
                1.0677024881140118e-06,
                3.2887482809933958e-06,
                5.422221553072258e-06,
                0.9924227594885047,
                9.422450431732037e-07,
                7.889263525405172e-06,
                2.7535704195382043e-05,
                5.829124463468578e-05,
                4.785095064523075e-06,
                7.889265403654039e-06
            ],
            [
                6.144177526916564e-06,
                3.726640171686931e-06,
                6.9622537584863015e-06,
                5.422217029391264e-06,
                8.315278293604072e-07,
                2.2603245668941476e-06,
                4.785095062634308e-06,
                8.939695222527624e-06,
                0.00010889693458450632,
                8.481101069688966e-05
            ],
            [
                2.430024360519357e-05,
                4.2228344501365644e-06,
                1.6701429800582296e-05,
                7.889259744871923e-06,
                1.99472900777306e-06,
                2.561282515853595e-06,
                6.962253758916883e-06,
                4.785092783210732e-06,
                2.260324836651547e-06,
                4.2228344494606135e-06
            ],
            [
                6.962254588281262e-06,
                1.7603432133032607e-06,
                3.726641060773727e-06,
                4.785096205717126e-06,
                8.939700559833708e-06,
                3.2887478888496478e-06,
                3.2887498493325602e-06,
                3.4663270374947136e-07,
                8.939700562695657e-06,
                1.4738981965808603e-05
            ],
            [
                0.0007096705515850042,
                NaN,
                1.300712379968365e-05,
                0.0003353500157569719,
                0.02931223250028664,
                3.2887478890769702e-06,
                2.561283431942246e-06,
                0.012431648486359437,
                6.9622570777680525e-06,
                4.22283193393364e-06
            ],
            [
                7.88926164064169e-06,
                0.002800926392892863,
                4.785095634756674e-06,
                7.88926069905656e-06,
                2.56128159959988e-06,
                5.422218968931258e-06,
                1.0129990964290378e-05,
                0.0028009276141845005,
                0.001032230927635313,
                0.0015011820178488814
            ],
            [
                1.2098659719661556e-06,
                2.2603240283888175e-06,
                1.7603440526662173e-06,
                1.5534971989809095e-06,
                8.31527928532683e-07,
                3.288750633488963e-06,
                0.9999974387180947,
                8.315283250305684e-07,
                1.0677031245851707e-06,
                2.9023126768680736e-06
            ],
            [
                1.3007134661628471e-05,
                0.009708474341482174,
                0.0015011825837467814,
                2.2603245671490605e-06,
                0.0006263342620209415,
                0.007577240686579932,
                0.001700722432584204,
                6.144177526916564e-06,
                0.0003353500633794133,
                1.7603438428028262e-06
            ],
            [
                3.2887494555584805e-06,
                2.902311292783513e-06,
                2.902311292960369e-06,
                1.3007123803563812e-05,
                7.889260701467423e-06,
                2.5612812943280275e-06,
                4.222833443261934e-06,
                7.889262583231455e-06,
                3.535624635371931e-05,
                0.00023050671287150817
            ],
            [
                2.2603251058292572e-06,
                1.8925154943845924e-05,
                1.5534983100228109e-06,
                5.422221553910605e-06,
                6.962259563975707e-06,
                2.561281905293402e-06,
                4.7850967754851966e-06,
                6.144174599867732e-06,
                4.222835457449267e-06,
                7.889265395416921e-06
            ],
            [
                2.902313022984344e-06,
                1.370957533676711e-06,
                6.144176797439742e-06,
                2.260323489024314e-06,
                2.5612815998141903e-06,
                2.5612819051722694e-06,
                4.222834954461155e-06,
                4.785095064601411e-06,
                8.315282257448048e-07,
                6.144176798479122e-06
            ],
            [
                8.48110108616364e-05,
                4.222832437324657e-06,
                0.0003799845148292481,
                0.0004305570255361972,
                0.0002305067673665551,
                0.0001795279214608635,
                1.8925148206243206e-05,
                0.16451645675203383,
                6.962256246896338e-06,
                0.00015843625392465658
            ],
            [
                5.422220903126249e-06,
                4.785096205077381e-06,
                8.31527829351332e-07,
                5.422219615188307e-06,
                2.260323758516393e-06,
                2.2603240279591663e-06,
                1.760342582476675e-06,
                1.209865683126885e-06,
                1.7603434224645293e-06,
                0.00020342692237827937
            ],
            [
                3.1201926158001163e-05,
                7.889266345196678e-06,
                8.481104082148406e-05,
                9.610242544167048e-05,
                6.14417751645571e-06,
                6.605214345333245e-05,
                0.00023050676170577666,
                9.610241373476912e-05,
                0.0013250223896384757,
                1.3007125359034903e-05
            ],
            [
                1.6701423816789103e-05,
                1.6701429790071084e-05,
                0.0003353501863431056,
                1.1478765384764794e-05,
                4.539787398819316e-05,
                3.535625475059587e-05,
                0.0009110511775524185,
                0.0003799844743797274,
                2.144495604044475e-05,
                0.00013982202350580785
            ],
            [
                7.88925976126004e-06,
                4.222832940500659e-06,
                3.72664061416619e-06,
                3.2887502411564953e-06,
                2.9023116377197043e-06,
                1.5534979395006942e-06,
                4.78509449410676e-06,
                2.9023119840232638e-06,
                2.561282515820982e-06,
                1.4738980180928993e-05
            ],
            [
                8.939694167932546e-06,
                0.9997388095740303,
                0.9998601778773581,
                0.9996646498917788,
                0.9990889490070363,
                0.9995121427712066,
                0.9980732656997885,
                0.9998601779529848,
                0.9992903295019537,
                0.9999151889444846
            ],
            [
                3.2887498480015246e-06,
                5.42221702873045e-06,
                4.785095635017795e-06,
                6.962259563418482e-06,
                0.009708476759046271,
                0.010986942347234161,
                4.222834953197588e-06,
                0.9999724642990779,
                5.422220906558541e-06,
                0.0052201248181985545
            ],
            [
                5.422220905315815e-06,
                1.5534983099790112e-06,
                4.4508521110762794e-07,
                9.422443691524936e-07,
                9.422443691079314e-07,
                0.9997388096429288,
                0.9999898700090316,
                3.2887502414436403e-06,
                1.3709570431803621e-06,
                0.0002959570248807216
            ],
            [
                4.2228339444946985e-06,
                6.962253751495675e-06,
                0.0002959569858990266,
                3.2887486723295965e-06,
                0.022977367652000317,
                0.0010322312474311268,
                1.9947294834143063e-06,
                2.2603248359834287e-06,
                0.0024726229183090233,
                1.5534977543406908e-06
            ],
            [
                0.9999810748518333,
                0.999995777167563,
                0.9999724643024869,
                0.9999989322968754,
                0.9999952149037944,
                0.000379984471671301,
                0.0003353502562986658,
                0.9999785550542949,
                0.0011695100733100728,
                0.9999898700066185
            ],
            [
                1.9947294834469616e-06,
                2.9023130227124616e-06,
                2.1444948397509574e-05,
                1.670142781432848e-05,
                4.222832436049568e-06,
                1.7603430034151537e-06,
                2.7535700739063095e-05,
                3.726638839395927e-06,
                5.043476486448089e-07,
                4.785095634460739e-06
            ],
            [
                4.785093923516432e-06,
                1.147877222485351e-05,
                5.422217030032353e-06,
                4.222835457906302e-06,
                6.962253756232077e-06,
                3.288749065167371e-06,
                2.2603248367358324e-06,
                4.222832437497486e-06,
                4.7850956342431385e-06,
                5.422218322565793e-06
            ],
            [
                3.726640172337686e-06,
                2.561282515820982e-06,
                7.484625358632504e-05,
                4.7850944943330625e-06,
                1.370957533676711e-06,
                8.939698433145498e-06,
                2.2603240283888175e-06,
                4.785096205173126e-06,
                7.889266343575084e-06,
                2.144494329496561e-05
            ],
            [
                1.0129994594539281e-05,
                1.3007126907455643e-05,
                6.144173134700951e-06,
                6.144173133762157e-06,
                2.5612812940112203e-06,
                1.67014297087763e-05,
                4.785095063713602e-06,
                3.288747888478753e-06,
                1.012999459934851e-05,
                3.7266410607194972e-06
            ],
            [
                6.962259568775433e-06,
                2.5612815999679353e-06,
                2.9023119846303784e-06,
                4.2228344511197656e-06,
                2.2603251061849014e-06,
                2.9023119851266288e-06,
                1.9947297214182054e-06,
                4.785093351255006e-06,
                5.422221541078958e-06,
                3.2887494572514376e-06
            ],
            [
                2.2603237584711665e-06,
                4.785093922524176e-06,
                3.726639282234298e-06,
                5.422220906223202e-06,
                1.760343422832764e-06,
                5.422220908402905e-06,
                3.2887486726287055e-06,
                6.1441723965631615e-06,
                2.2603251053070966e-06,
                2.2603237586397375e-06
            ],
            [
                1.4449795205186074e-07,
                0.0011695104655043294,
                1.300712379968365e-05,
                2.902311292960369e-06,
                5.4222202609325635e-06,
                4.0063696616132704e-05,
                4.006368733713007e-05,
                0.004070138257634899,
                3.2887506325228402e-06,
                3.288749064802458e-06
            ],
            [
                4.785093923324944e-06,
                1.3709568799243436e-06,
                3.726638839395927e-06,
                1.0677026154619133e-06,
                2.260324567054496e-06,
                2.2603240275973545e-06,
                2.9023126759653203e-06,
                1.0129994596455602e-05,
                0.00048785719947359266,
                2.2603253753174176e-06
            ],
            [
                1.9947292458603553e-06,
                4.785096775171854e-06,
                1.1478766747236611e-05,
                2.9023126766832993e-06,
                9.422442569097361e-07,
                2.9023133690188264e-06,
                3.288750241374845e-06,
                0.999704042799327,
                1.9947301970106386e-06,
                6.962257908044647e-06
            ],
            [
                2.2603248367173307e-06,
                2.90231094702116e-06,
                1.7603427935678977e-06,
                2.260325375615501e-06,
                2.2603248367173307e-06,
                4.785094493532295e-06,
                3.2887478891128633e-06,
                1.2098655391441208e-06,
                1.5534977545384963e-06,
                5.422217675628357e-06
            ],
            [
                7.484626197546885e-05,
                0.002800927568662438,
                7.889264464106214e-06,
                3.2887486717014682e-06,
                1.1478773588745944e-05,
                1.3007131561804229e-05,
                4.785093353100252e-06,
                6.475947981095112e-07,
                3.2887502407856003e-06,
                1.7603432130543019e-06
            ],
            [
                5.144222315440492e-05,
                2.5612815999423112e-06,
                1.994729483680993e-06,
                4.785092782936557e-06,
                2.260324836624822e-06,
                7.338213304316717e-07,
                7.889266337060012e-06,
                8.939698432917844e-06,
                4.222834954514924e-06,
                1.3709572068079696e-06
            ],
            [
                0.9999546021260055,
                0.9998911030925467,
                0.9999724642957971,
                0.9999599363030588,
                0.9999810748472596,
                0.9997040427610945,
                0.9998415637082565,
                0.9999687980886474,
                0.9999810748540314,
                0.9997694931763007
            ],
            [
                3.059021539439154e-07,
                1.6701423831188846e-05,
                1.0677024881382882e-06,
                8.315282258956806e-07,
                4.785095064148803e-06,
                1.2098662603202336e-06,
                9.422447061576466e-07,
                4.4508510497875774e-07,
                6.962257906132355e-06,
                1.209865250822125e-06
            ],
            [
                3.2887490649759413e-06,
                0.0007096704352609394,
                1.209865250822125e-06,
                9.422445938728576e-07,
                8.31528325021115e-07,
                6.9622562489985925e-06,
                2.260324836250676e-06,
                3.7266401699312496e-06,
                0.00010889693349754865,
                1.0677031245312763e-06
            ],
            [
                2.9023133685252154e-06,
                6.144172397747829e-06,
                4.006370155543241e-05,
                4.785092779837936e-06,
                6.144173868670137e-06,
                5.422218968714274e-06,
                3.2887478887958082e-06,
                5.4222183212934785e-06,
                4.53978899974103e-05,
                5.422220261948442e-06
            ],
            [
                2.5612828213352452e-06,
                0.9999417087205921,
                2.14449535222109e-05,
                5.14421951322801e-05,
                0.9999832985721865,
                1.3007130013288297e-05,
                0.999991060304766,
                2.753569432067276e-05,
                0.00013982207287038063,
                1.4738976695459959e-05
            ],
            [
                6.6052120892446e-05,
                7.889262576171072e-06,
                5.422221553654169e-06,
                0.990291523509572,
                1.4738980209829803e-05,
                1.1478769464371791e-05,
                5.422217029736466e-06,
                7.484624501857396e-05,
                7.889264465699106e-06,
                4.78509563535725e-06
            ],
            [
                0.0002959571955580906,
                0.9999038975511235,
                0.999992110740244,
                0.9999417087346039,
                0.9999485577680484,
                0.9998911030521233,
                0.9999599362887367,
                0.9999724643154851,
                0.9998601778770632,
                0.9999832985761725
            ],
            [
                2.5612819052374947e-06,
                7.484622660667945e-05,
                0.9994472214810969,
                8.93969629861996e-06,
                0.00020342701246409966,
                4.785093922393616e-06,
                3.2887494567788457e-06,
                6.144176795416864e-06,
                1.99473067214238e-06,
                2.561282515564741e-06
            ],
            [
                2.9023112931688987e-06,
                7.889263521229215e-06,
                1.3007125351889727e-05,
                2.5612822106421996e-06,
                2.561281905376098e-06,
                4.2228349543420954e-06,
                8.939693105272102e-06,
                4.785093923420688e-06,
                1.4738987240824012e-05,
                7.889261641904523e-06
            ],
            [
                2.9023119850210436e-06,
                3.2887494562404496e-06,
                1.7603432131631714e-06,
                1.994730196733067e-06,
                2.9023130217727535e-06,
                1.7603440525461408e-06,
                1.3007128458810347e-05,
                1.0129987347678128e-05,
                0.00012339453691820687,
                2.902313022984344e-06
            ],
            [
                1.4738985479697128e-05,
                3.120190759075595e-05,
                1.892514146382353e-05,
                8.939698429893283e-06,
                8.939693101987369e-06,
                6.962258736497698e-06,
                6.144173866379033e-06,
                2.2603251060142746e-06,
                1.2098658275938276e-06,
                3.7266383948154845e-06
            ],
            [
                2.561282821176841e-06,
                3.2887478891487563e-06,
                3.288748280891699e-06,
                0.9975273773596419,
                1.76034279349265e-06,
                1.2098662603862553e-06,
                0.008577484558364408,
                8.315281267800897e-07,
                4.785095063939907e-06,
                0.9579122716338109
            ],
            [
                0.0019267347604867396,
                0.0024726229234775334,
                2.5612831258711683e-06,
                0.0005527785837018386,
                0.0028009274418509832,
                0.012431649972772088,
                7.88926446135094e-06,
                0.9997040430036472,
                0.001501182417449905,
                NaN
            ],
            [
                5.8291272264376885e-05,
                6.144177528436518e-06,
                1.5534981245957261e-06,
                1.76034363298589e-06,
                1.892515046321799e-05,
                2.430023772737037e-05,
                3.7266397276079535e-06,
                1.5534973839642345e-06,
                4.222832924331616e-06,
                0.9986749773911504
            ],
            [
                2.5612812944538183e-06,
                5.422217676654099e-06,
                5.42221767672807e-06,
                1.3709578604981489e-06,
                8.93969310418261e-06,
                2.9023123309287002e-06,
                1.5534984952662413e-06,
                2.902312330891746e-06,
                1.9947299592407137e-06,
                4.222833947674739e-06
            ],
            [
                1.9947304343996117e-06,
                6.962258735357921e-06,
                0.00033535025772314463,
                4.006368709723379e-05,
                0.9465966707651319,
                8.939696295432792e-06,
                0.0006263340711400079,
                4.222833946845163e-06,
                3.7266392838544054e-06,
                1.8925150468863527e-05
            ],
            [
                2.561281599734989e-06,
                3.288747887916428e-06,
                3.288748672760313e-06,
                6.962257908487893e-06,
                6.144173866937839e-06,
                4.2228344501365644e-06,
                6.605217567782881e-05,
                0.029312234037225486,
                1.300713466420736e-05,
                7.889261643181705e-06
            ],
            [
                0.9999990577556308,
                0.9999997897565587,
                0.9999992661792819,
                0.9999989322972574,
                0.9995694428237825,
                0.9999989322966208,
                0.9999994956527721,
                0.005911067570189804,
                0.999999352404893,
                0.9999996940978826
            ],
            [
                3.7266397276757403e-06,
                2.902311984683171e-06,
                1.0129993394664264e-05,
                5.71500378813085e-07,
                1.7603427931932593e-06,
                3.0590211744193855e-07,
                3.288748280658394e-06,
                1.5534979397140412e-06,
                1.9947294834469616e-06,
                1.9947297211642184e-06
            ],
            [
                0.9999898700090235,
                0.9999724643154788,
                2.4300252258653186e-05,
                0.0007096702657283497,
                4.006367760981805e-05,
                0.9999724642990779,
                0.9986749772888622,
                0.9999885212264026,
                0.9999832985701994,
                0.0024726235597786273
            ],
            [
                5.422221554670048e-06,
                2.4300252296223892e-05,
                1.0129993390610508e-05,
                2.4300237817893614e-05,
                4.785095064436034e-06,
                6.14417313680765e-06,
                0.0001088968957012171,
                6.1441775291964935e-06,
                5.422220262264056e-06,
                2.9023130227599746e-06
            ],
            [
                0.999512142950645,
                0.003172682809349254,
                0.9959298622123753,
                0.9995694430168375,
                0.0010322308709748039,
                0.9995694428257614,
                9.610244887645258e-05,
                0.9997040428693426,
                0.9971990725015716,
                0.9997040430079097
            ],
            [
                0.00218271682667991,
                0.00013982202288328333,
                7.889261644057078e-06,
                0.0024726234661711453,
                0.008577486530415894,
                1.6701423827421826e-05,
                0.00020342692237827937,
                7.889260700721204e-06,
                7.889262584508638e-06,
                0.006692849887211154
            ],
            [
                6.144172400295984e-06,
                2.7535684472011604e-05,
                6.144177528637686e-06,
                4.22283344293164e-06,
                3.1201900162771276e-05,
                4.785093350593502e-06,
                3.7266392833663395e-06,
                0.00048785716322828247,
                1.1478772220928159e-05,
                0.9959298614799899
            ],
            [
                0.0003353500159033224,
                0.9999957771670596,
                0.9999986290429567,
                0.9999982396574163,
                0.9999982396561573,
                0.9999938558239336,
                0.9999984465020603,
                0.999999168471675,
                0.9999989322970028,
                0.00023050670710341776
            ]
        ]
    },
    {
        "q_id": "10628_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                7.484623589103951e-05,
                8.939695231991565e-06,
                5.144223790784213e-05,
                1.8925143714394646e-05,
                5.829126546944542e-05,
                4.539785234013636e-05,
                6.605212875249706e-05,
                2.144494840289258e-05,
                5.1442237637243264e-05,
                5.1442225848041874e-05
            ],
            [
                1.4738978434119307e-05,
                1.8925150457297062e-05,
                2.1444950946558592e-05,
                1.3007134650461172e-05,
                1.892514821712119e-05,
                1.4738983721733992e-05,
                1.3007126900026555e-05,
                3.12019150514328e-05,
                2.430024650299895e-05,
                6.1441753335241615e-06
            ],
            [
                0.999981074849525,
                0.9999832985761765,
                0.9999852610215506,
                0.999975699756396,
                0.9999756997621788,
                1.473898723508674e-05,
                0.9999869928715439,
                0.999992110733657,
                0.9999921107336535,
                0.9999930377429245
            ],
            [
                5.144221961079603e-05,
                0.9999546021097657,
                1.6701425819994037e-05,
                1.8925154992246077e-05,
                0.9999756997477014,
                0.9999251537996787,
                1.0129994594944656e-05,
                1.473898722977843e-05,
                1.3007125358230479e-05,
                0.9999869928746454
            ],
            [
                1.4738987202164472e-05,
                1.0129987343366409e-05,
                3.120191871729913e-05,
                8.939697361443396e-06,
                4.22283293835759e-06,
                1.892515274339482e-05,
                1.4738983711868037e-05,
                1.0129995801232122e-05,
                2.430024064356258e-05,
                6.144175333021237e-06
            ],
            [
                0.9994472212635469,
                0.9999832985721927,
                0.9997040427976651,
                0.9999967112505435,
                0.999986992876194,
                0.9999785550592807,
                0.9999599363221995,
                0.9999810748495147,
                0.9999810748540237,
                0.999972464312219
            ],
            [
                2.4300252180329324e-05,
                1.4738976686988113e-05,
                8.93970055837021e-06,
                1.6701417835367632e-05,
                4.539785231635491e-05,
                2.4300249381886717e-05,
                2.7535694308451837e-05,
                1.0129993391808207e-05,
                3.535625061440978e-05,
                6.605213643522215e-05
            ],
            [
                0.9999810748495379,
                0.9999546021368687,
                1.4738983719053027e-05,
                0.9999687980849237,
                0.9999970976880151,
                2.4300240700846825e-05,
                5.829128600607005e-05,
                0.9999687980998254,
                0.9999687980849544,
                0.9999724643187728
            ],
            [
                9.61024597177855e-05,
                1.4738981965808603e-05,
                2.753568450356562e-05,
                1.6701421837158667e-05,
                6.605217585275304e-05,
                2.4300243598740258e-05,
                0.00013982213949274624,
                4.0063711189764875e-05,
                1.4738988992031526e-05,
                5.1442207347770335e-05
            ],
            [
                2.4300249398417826e-05,
                1.6701423813386632e-05,
                1.4738983720715225e-05,
                1.1478766727902181e-05,
                1.1478768122069266e-05,
                1.670142979875954e-05,
                2.4300237794201987e-05,
                4.006369662137953e-05,
                5.42221767462234e-06,
                8.93969949421299e-06
            ],
            [
                1.0129993388546776e-05,
                7.88926070097951e-06,
                2.4300237779527314e-05,
                8.939700557589678e-06,
                4.0063691966866204e-05,
                1.0129987348562583e-05,
                2.4300246404873137e-05,
                1.3007125356479674e-05,
                1.0129995806022926e-05,
                1.4738983708865354e-05
            ],
            [
                1.3007130006521673e-05,
                1.4738987232888351e-05,
                1.4738988969136072e-05,
                4.5397884745670375e-05,
                1.1478765381257036e-05,
                1.892514597832254e-05,
                2.4300237755305275e-05,
                5.4222176759932836e-06,
                2.430024647418002e-05,
                8.93969630011598e-06
            ],
            [
                1.4738980186612642e-05,
                4.222832938649476e-06,
                7.88926070020459e-06,
                1.147876812069122e-05,
                1.1478772218923723e-05,
                1.8925150479534963e-05,
                2.430024649256756e-05,
                1.473898372275276e-05,
                3.535625905424669e-05,
                1.670141584261409e-05
            ],
            [
                1.012999459815081e-05,
                1.3007131553807308e-05,
                1.8925141462377723e-05,
                4.0063677786460955e-05,
                2.4300232013798725e-05,
                2.430024360519357e-05,
                1.8925154987702108e-05,
                3.120191878949046e-05,
                0.9999869928668924,
                1.670142581373592e-05
            ],
            [
                7.484622672429949e-05,
                2.4300243606431198e-05,
                1.6701423813386632e-05,
                1.8925143703310122e-05,
                1.3007134655335035e-05,
                1.670141982216708e-05,
                2.7535697604695872e-05,
                1.1478766745733287e-05,
                2.7535681159942053e-05,
                2.4300237797030833e-05
            ],
            [
                1.89251482218717e-05,
                0.9999646437535384,
                4.006371121133516e-05,
                0.00033535005467643845,
                3.535624642960554e-05,
                0.9999810748495223,
                1.1478765384764794e-05,
                1.4738980206290928e-05,
                0.999985261019796,
                0.9999756997563937
            ],
            [
                4.5397863041788086e-05,
                1.3007134660776729e-05,
                2.7535691079423274e-05,
                0.00013982212296328436,
                3.1201915003305256e-05,
                6.605214449759119e-05,
                0.00013982202288328333,
                1.1478765385098868e-05,
                1.0129992181043471e-05,
                1.8925150473958278e-05
            ],
            [
                0.00010889694685793864,
                0.00012339457126790527,
                3.120190009489331e-05,
                5.829127935151415e-05,
                0.0001795278990420167,
                4.006370636181322e-05,
                4.539787927923732e-05,
                0.00017952789994577067,
                5.144223807888457e-05,
                0.9999417087484839
            ],
            [
                5.829125817153215e-05,
                4.539788466705942e-05,
                1.8925154989561007e-05,
                2.1444940727740105e-05,
                1.147876948662936e-05,
                1.4738988989189704e-05,
                1.4738985482753428e-05,
                7.889265401788488e-06,
                1.8925150481256165e-05,
                1.012999459815081e-05
            ],
            [
                1.6701421816014746e-05,
                8.93969523127608e-06,
                7.889260703462123e-06,
                3.535625063627531e-05,
                1.4738980207899506e-05,
                1.300713000155317e-05,
                9.610237874971251e-05,
                2.14449560156361e-05,
                1.8925145965998754e-05,
                1.892515047774492e-05
            ],
            [
                0.9998415637297454,
                0.9999921107383586,
                0.9999832985841411,
                0.9999921107336575,
                0.9999785550490462,
                0.9999785550414121,
                0.9999974387180958,
                0.9999930377420932,
                0.9999930377462425,
                1.3007125357378736e-05
            ],
            [
                0.9999646437324707,
                0.999989870007816,
                0.9999921107402416,
                0.9999898700066072,
                0.9999832985741823,
                0.999986992871542,
                0.9997694933410333,
                0.9999810748562856,
                0.999985261021549,
                0.9999952149032244
            ],
            [
                5.829127903640773e-05,
                4.006367770251186e-05,
                2.753568778267916e-05,
                1.4738976686344678e-05,
                6.605217594790412e-05,
                2.1444953493423506e-05,
                9.610242597024299e-05,
                9.610239120891622e-05,
                7.484620003326818e-05,
                4.00637063976665e-05
            ],
            [
                7.48461998230769e-05,
                4.539787393897876e-05,
                2.1444948383466943e-05,
                7.484620840280265e-05,
                1.8925152733687252e-05,
                7.484622610788336e-05,
                1.0129990977004428e-05,
                0.00015843617605550438,
                1.4738980200821758e-05,
                8.939694170518055e-06
            ],
            [
                4.0063711199092564e-05,
                9.610245949265268e-05,
                6.962256247478891e-06,
                4.0063691814125415e-05,
                1.1478764016780948e-05,
                3.120190749381984e-05,
                4.53978847413765e-05,
                0.9992903296524156,
                0.995929863207136,
                7.484623605603429e-05
            ],
            [
                0.9999930377445825,
                0.9999724642990838,
                0.9999952149055099,
                0.9999810748495214,
                1.0129994593691676e-05,
                0.999996711249367,
                0.9999952149043666,
                0.9999962733607163,
                0.9999832985702019,
                0.9995121427775077
            ],
            [
                2.7535697592675292e-05,
                1.1478764012062179e-05,
                1.1478769487464542e-05,
                1.0129987354882753e-05,
                1.30071346612026e-05,
                1.3007133098679858e-05,
                2.144495093329611e-05,
                1.4738978376853893e-05,
                4.0063691935385276e-05,
                2.7535684483431157e-05
            ],
            [
                8.939699497855469e-06,
                1.670141782601084e-05,
                1.4738983702216562e-05,
                1.67014297980912e-05,
                1.6701421819842525e-05,
                7.889264461637948e-06,
                5.144222538282153e-05,
                1.147876538330323e-05,
                2.75357009146638e-05,
                1.1478769484791961e-05
            ],
            [
                1.892515046555882e-05,
                0.00015843621467196014,
                5.8291251409258024e-05,
                5.829129298251882e-05,
                3.1201918783020485e-05,
                1.8925148216088467e-05,
                7.48462090115951e-05,
                0.00012339455771977407,
                5.144223803434616e-05,
                0.0002959570835470197
            ],
            [
                4.006367768706288e-05,
                1.3007126906036072e-05,
                2.4300234907624647e-05,
                1.892514819756836e-05,
                1.0129988558423862e-05,
                1.6701419840455358e-05,
                2.5612828210277558e-06,
                8.939696299530582e-06,
                1.8925157221062828e-05,
                9.610239091526496e-05
            ],
            [
                0.999994577779739,
                0.9999957771645424,
                0.9999921107383586,
                4.53978792320047e-05,
                0.9999921107336551,
                0.9999832985702045,
                0.9999945777790915,
                0.9999910603026332,
                0.999959936298425,
                7.889261643899223e-06
            ],
            [
                6.9622579059043994e-06,
                1.670142581227772e-05,
                5.4222176755001384e-06,
                1.4738987223451347e-05,
                1.1478765375285496e-05,
                1.3007126888669986e-05,
                1.473898195905257e-05,
                7.889261637886417e-06,
                8.939693098897767e-06,
                1.0129988550869138e-05
            ],
            [
                7.88926164421493e-06,
                1.4738978444575072e-05,
                1.6701423823533284e-05,
                1.892515047684989e-05,
                3.1201903879941626e-05,
                7.4846226775486e-05,
                1.012999217990105e-05,
                1.6701427804546374e-05,
                1.892514821808506e-05,
                1.4738976688274975e-05
            ],
            [
                0.9999910603037031,
                0.9999785550515924,
                4.539788457523655e-05,
                0.9999485578048636,
                0.9999832985761876,
                0.9999957771675632,
                0.999954602142233,
                0.9999832985721885,
                0.9999945777823268,
                0.9998601779430528
            ],
            [
                1.6701429781200352e-05,
                2.7535704156916166e-05,
                8.939697366289195e-06,
                1.4738980206290928e-05,
                1.1478773567532346e-05,
                8.939700562988356e-06,
                2.1444953485622044e-05,
                1.1478765377456965e-05,
                6.962254588116627e-06,
                1.8925145968614975e-05
            ],
            [
                1.4738983715299675e-05,
                1.0129989767695646e-05,
                1.1478772220427047e-05,
                1.30071253513219e-05,
                8.93969842465722e-06,
                8.939694161232988e-06,
                1.4738987229134998e-05,
                1.0129989768322136e-05,
                2.753568447401504e-05,
                3.120190372352716e-05
            ],
            [
                1.4738978448810996e-05,
                4.006370635802385e-05,
                1.012998856015592e-05,
                1.670141982714927e-05,
                1.892515270807579e-05,
                5.1442195043951916e-05,
                1.012998976360504e-05,
                1.0129987354882753e-05,
                7.889266344766165e-06,
                1.3007126902392506e-05
            ],
            [
                3.1201900111238496e-05,
                1.6701427811898146e-05,
                1.892515724543503e-05,
                0.00012339460277907598,
                5.1442231703530785e-05,
                1.6701417849645853e-05,
                3.53562675293277e-05,
                1.8925141462377723e-05,
                4.0063687233651116e-05,
                4.539788476482766e-05
            ],
            [
                4.0063692140011286e-05,
                5.144223199097187e-05,
                4.539786317192547e-05,
                6.605214442935156e-05,
                9.610240303607204e-05,
                4.539786850821919e-05,
                4.006370170554982e-05,
                5.144219498257131e-05,
                3.120191872978506e-05,
                2.753570421481532e-05
            ],
            [
                4.006369204702597e-05,
                2.1444950953735936e-05,
                2.4300234904884198e-05,
                5.144220733279945e-05,
                1.3007130006048483e-05,
                1.670142780162997e-05,
                1.1478764012521528e-05,
                8.939699489399712e-06,
                1.1478765375828365e-05,
                6.605215970013572e-05
            ],
            [
                4.006369680356083e-05,
                1.4738983717819781e-05,
                6.962253745771466e-06,
                1.670142977403086e-05,
                1.6701429795417824e-05,
                1.3007126897471327e-05,
                1.4738978450419574e-05,
                1.3007133107528522e-05,
                1.3007126877218778e-05,
                3.5356254608598546e-05
            ],
            [
                0.9999921107345938,
                0.9999989322973846,
                5.144220744171262e-05,
                0.9999957771645422,
                2.7535684485234246e-05,
                0.9999957771675629,
                0.9986749773209043,
                0.9999987901338839,
                0.9999977396754328,
                0.999998932297003
            ],
            [
                8.939699494895954e-06,
                1.8925157228498415e-05,
                1.6701423787746582e-05,
                7.889261634184023e-06,
                5.1442231863719305e-05,
                3.120192611691113e-05,
                8.939697364890742e-06,
                1.6701417837251142e-05,
                2.430024937233934e-05,
                1.0129990973134934e-05
            ],
            [
                1.4738980200821758e-05,
                2.7535697636951104e-05,
                4.222832436955956e-06,
                1.4738976688274975e-05,
                2.1444950946558592e-05,
                1.4738985478142165e-05,
                1.4738988993532872e-05,
                3.120190015664183e-05,
                8.939696301384342e-06,
                2.753568122134716e-05
            ],
            [
                0.9933071487940025,
                0.9999251537729474,
                0.9999910603058334,
                3.5356259006142514e-05,
                0.9990889488074007,
                1.4738978442537537e-05,
                1.670142182755884e-05,
                2.1444943260717208e-05,
                6.14417606469958e-06,
                0.9999930377429213
            ],
            [
                1.473898195422683e-05,
                7.88926540262081e-06,
                7.889265403654039e-06,
                1.8925154997891613e-05,
                4.222832436379863e-06,
                2.7535704150505187e-05,
                7.88925976080083e-06,
                1.6701415862785876e-05,
                4.222835456466066e-06,
                1.1478770846679639e-05
            ],
            [
                1.6701423824262386e-05,
                1.4738976684950577e-05,
                1.6701421834728333e-05,
                2.144495861531752e-05,
                3.535626328432693e-05,
                8.939697366289195e-06,
                2.430024940080467e-05,
                1.3007125355533295e-05,
                2.7535681189993494e-05,
                1.0129987353242826e-05
            ],
            [
                0.9999885212332738,
                0.9999910603015718,
                0.9999687980923926,
                0.9999938558275976,
                0.999704042873734,
                1.6701419842521146e-05,
                0.999988521229141,
                0.999995214906648,
                0.9999339478476563,
                3.120191133221797e-05
            ],
            [
                0.9999930377420937,
                0.9999930377420924,
                1.8925157254522964e-05,
                0.9999485577803285,
                2.753570087269193e-05,
                0.9999832985702033,
                0.999989870012651,
                1.300712844986705e-05,
                0.9999832985702168,
                0.9999646437408933
            ],
            [
                8.93969522643028e-06,
                0.9982992777664528,
                0.9999921107374203,
                0.9999724643058086,
                0.9999417087276351,
                0.9999810748450062,
                2.7535700868484725e-05,
                0.9999885212291806,
                0.9999930377420959,
                2.753570085265762e-05
            ],
            [
                2.7535704192176552e-05,
                4.539788473741292e-05,
                0.00010889694756303517,
                3.1201900190126774e-05,
                0.00012339452620322865,
                4.539788484079622e-05,
                7.88926069779373e-06,
                0.00012339457438472975,
                7.484625353622762e-05,
                2.430024360996726e-05
            ],
            [
                4.222832939187164e-06,
                5.422221554038823e-06,
                4.2228334433617906e-06,
                6.144175327902573e-06,
                3.726641057967347e-06,
                1.0129995805359584e-05,
                1.3007126906509262e-05,
                6.962259567217739e-06,
                1.6701419833468143e-05,
                7.889261639177951e-06
            ],
            [
                1.4738981964843453e-05,
                4.006368735141308e-05,
                4.785092782692845e-06,
                1.892514821299031e-05,
                6.962256247098965e-06,
                1.8925150485318196e-05,
                7.484621796051808e-05,
                2.1444943268518666e-05,
                1.4738978450955768e-05,
                1.8925148205003943e-05
            ],
            [
                0.00010889692190544692,
                1.4738988978733932e-05,
                5.1442225785164145e-05,
                0.0001233945444427506,
                7.484624468422803e-05,
                6.605216034600967e-05,
                2.1444948367551967e-05,
                1.670142581762446e-05,
                9.61024261212637e-05,
                2.430023201636237e-05
            ],
            [
                1.6701421816014746e-05,
                7.889265397799083e-06,
                1.4738976690741464e-05,
                6.962259564254318e-06,
                1.3007134651738787e-05,
                8.939694165298253e-06,
                1.473898722977843e-05,
                8.939693095613033e-06,
                1.300712533821453e-05,
                5.144223786629791e-05
            ],
            [
                1.6701417851043295e-05,
                1.6701427795007302e-05,
                1.6701429787579988e-05,
                1.0129988557318292e-05,
                1.6701417831357575e-05,
                1.1478764012062179e-05,
                8.939699496164318e-06,
                3.1201915028958143e-05,
                1.012999218277553e-05,
                8.9396973639476e-06
            ],
            [
                7.484622655004758e-05,
                0.999986992876207,
                3.1201900133940165e-05,
                4.539785772035843e-05,
                0.9999417087419481,
                4.0063682540662206e-05,
                7.484625337831178e-05,
                6.605214441493472e-05,
                0.00029595706589460234,
                6.605213621320305e-05
            ],
            [
                0.9998911030922408,
                0.9997040428353982,
                2.7535684453379715e-05,
                0.9997388095697518,
                1.4738983716586539e-05,
                7.88926634305847e-06,
                7.889261641416608e-06,
                1.012999339031569e-05,
                2.7535700908352998e-05,
                1.6701429800582296e-05
            ],
            [
                1.1478770846095013e-05,
                4.785092782188013e-06,
                1.012998735462479e-05,
                6.9622554173544636e-06,
                3.120190756237886e-05,
                1.670142580419685e-05,
                5.422217028582506e-06,
                3.120191876474564e-05,
                1.892514145136205e-05,
                1.8925152740434357e-05
            ],
            [
                0.9999977396757026,
                2.144495347235956e-05,
                0.9999885212305253,
                0.9999970976883619,
                0.9999974387171793,
                0.9999987901338839,
                0.9999982396563671,
                0.999996273360718,
                2.1444953479848962e-05,
                0.9999945777784488
            ],
            [
                6.962255416328664e-06,
                1.0129993389984017e-05,
                7.889266341623432e-06,
                2.1444958618516124e-05,
                2.430024936738885e-05,
                1.1478766749575118e-05,
                3.1201918734552406e-05,
                1.4738988987366645e-05,
                9.610245901861527e-05,
                5.1442231888421266e-05
            ],
            [
                6.144172399580713e-06,
                2.7535684472011604e-05,
                1.892515048449202e-05,
                1.1478770860481005e-05,
                1.89251527371985e-05,
                1.8925141444270707e-05,
                2.1444950939693305e-05,
                2.430024356364481e-05,
                7.889263520655201e-06,
                2.1444958610714655e-05
            ],
            [
                3.1201915031228314e-05,
                3.12019150568812e-05,
                2.7535704195382043e-05,
                2.7535684501962883e-05,
                8.939699498099386e-06,
                2.4300243598740258e-05,
                1.012999218369684e-05,
                3.120190381387978e-05,
                1.6701427799260394e-05,
                6.605215222741307e-05
            ],
            [
                1.8925145912503874e-05,
                5.1442207347770335e-05,
                1.6701415862785876e-05,
                3.535624224505904e-05,
                3.535624219412524e-05,
                4.0063696869729076e-05,
                1.4738987226400411e-05,
                3.120192245603829e-05,
                3.120192617525444e-05,
                2.7535691053278508e-05
            ],
            [
                2.1444953502863275e-05,
                3.120190014120469e-05,
                0.0001584361581396113,
                1.670141584644187e-05,
                5.1442213443539834e-05,
                6.605214442935156e-05,
                2.144494839454502e-05,
                0.00010889692138256647,
                1.8925141455974863e-05,
                0.00017952801966448302
            ],
            [
                3.5356246311274475e-05,
                1.3007125342804474e-05,
                2.1444945759368197e-05,
                1.8925152716750642e-05,
                1.4738980198784224e-05,
                4.006370163238581e-05,
                8.939693103938694e-06,
                2.430023487960134e-05,
                2.4300246488324276e-05,
                2.1444940697470454e-05
            ],
            [
                0.9999810748517645,
                0.999993855824668,
                0.9999952149060773,
                0.9999921107355365,
                0.9999810748562833,
                0.9999921107345983,
                0.9999952149060765,
                0.9999977396748942,
                0.999995214905507,
                0.9994472214600654
            ],
            [
                2.753570420429731e-05,
                2.4300232009732255e-05,
                1.6701419843189485e-05,
                1.0129989767032304e-05,
                3.535626326580554e-05,
                2.75356943166659e-05,
                3.535626751800907e-05,
                4.006369208171328e-05,
                1.4738980191813714e-05,
                1.892514145328979e-05
            ],
            [
                0.0001088969081822127,
                2.7535697614112e-05,
                0.0001088968824850216,
                1.892515272576973e-05,
                1.670142980222277e-05,
                4.006369209133245e-05,
                1.3007126908733257e-05,
                5.422217024065297e-06,
                2.7535684510878145e-05,
                3.1201900145745026e-05
            ],
            [
                1.4738981960929243e-05,
                0.00017952791616632723,
                6.60521602028025e-05,
                1.670141586150995e-05,
                0.000108896954816815,
                0.0001088968695065005,
                2.144495349709019e-05,
                1.4738988994015443e-05,
                2.430024360519357e-05,
                0.00013982206977199792
            ],
            [
                0.00012339452995023921,
                7.484625369741068e-05,
                0.0001398220559645637,
                5.1442225679245114e-05,
                6.605212875249706e-05,
                2.7535681216639104e-05,
                2.753568451218037e-05,
                7.484622697043032e-05,
                0.9999546021314468,
                0.0001233946017467174
            ],
            [
                1.8925143720384422e-05,
                1.670141980746355e-05,
                5.144221353972776e-05,
                8.939693102572767e-06,
                1.1478769482829286e-05,
                7.889264460776929e-06,
                4.53978523335304e-05,
                5.144220118612967e-05,
                2.4300252308334918e-05,
                4.006368729282359e-05
            ],
            [
                1.6701423813386632e-05,
                2.430024645649969e-05,
                0.9999785550592704,
                2.144495347704044e-05,
                4.0063701508502505e-05,
                0.9999910603069011,
                3.535625480461658e-05,
                0.9999869928684441,
                0.9989677688674505,
                0.9999485577926327
            ],
            [
                6.962258736497698e-06,
                5.144220092488781e-05,
                2.430025227049901e-05,
                1.6701415784043014e-05,
                1.8925148215055747e-05,
                5.422220259709562e-06,
                1.0129989768616954e-05,
                2.144494319284453e-05,
                6.144172403201774e-06,
                1.3007133103695677e-05
            ],
            [
                3.120190385565084e-05,
                8.93969416907082e-06,
                0.9978172833097284,
                1.3007130000938025e-05,
                1.4738976657711978e-05,
                1.8925141411912168e-05,
                0.9999952149049373,
                0.9999417087346956,
                0.99996879809612,
                0.99966464997394
            ],
            [
                3.535624640002277e-05,
                0.9999546021153233,
                0.999992110735535,
                1.6701417841747264e-05,
                1.4738980205164923e-05,
                0.9999151889285935,
                1.8925157249015125e-05,
                0.9999945777823239,
                0.9999938558239365,
                8.93969842784439e-06
            ],
            [
                3.535625487047041e-05,
                7.484625365166955e-05,
                5.8291244578280495e-05,
                9.610243617393022e-05,
                7.484620876546434e-05,
                2.1444940734059286e-05,
                1.3007125354066404e-05,
                5.829128621218275e-05,
                1.4738983710366698e-05,
                1.1478766753082876e-05
            ],
            [
                0.9999898700126454,
                0.999964643736683,
                0.9999885212359826,
                0.9998911030390163,
                1.6701417847458553e-05,
                0.9999910603058298,
                0.9999945777784455,
                0.9999938558232029,
                0.999994577778448,
                0.9999967112501509
            ],
            [
                8.481106109459797e-05,
                0.00010889694752976095,
                2.144494838814782e-05,
                0.00012339463314837607,
                3.120191126865329e-05,
                1.6701427795007302e-05,
                4.222834449813952e-06,
                0.0002611903978205397,
                1.3007130000322877e-05,
                0.00010889692096426211
            ],
            [
                1.4738983695675004e-05,
                0.9999910603069007,
                2.4300246442709038e-05,
                0.999989870004194,
                0.9998415638407746,
                0.9999599363223128,
                0.9999885212277768,
                0.9999957771650456,
                0.9999687980849666,
                0.9999921107402443
            ],
            [
                6.144174597297225e-06,
                1.1478765376371232e-05,
                1.3007133110746217e-05,
                1.3007134652969082e-05,
                1.0129994598777299e-05,
                6.962253755776166e-06,
                1.300712844986705e-05,
                1.3007130007515371e-05,
                7.889265400898766e-06,
                1.3007133105966991e-05
            ],
            [
                1.1478768115554855e-05,
                2.1444945767325685e-05,
                1.012998855982425e-05,
                2.753569100399413e-05,
                1.892514370434284e-05,
                1.4738983712565087e-05,
                1.1478770847306026e-05,
                6.144173867753695e-06,
                1.892515048889829e-05,
                1.0129995801232122e-05
            ],
            [
                6.9622562450726956e-06,
                2.75357041370822e-05,
                1.8925141464512013e-05,
                2.144495859370747e-05,
                2.7535700892525892e-05,
                6.9622537545097495e-06,
                2.1444956033111377e-05,
                1.6701427806612162e-05,
                1.3007133105399164e-05,
                4.0063706453049636e-05
            ],
            [
                1.3007131553239479e-05,
                1.1478770851147858e-05,
                6.9622545872301346e-06,
                6.962257906765564e-06,
                5.14422257372573e-05,
                2.1444948392516633e-05,
                1.6701421825979123e-05,
                4.7850933529174686e-06,
                1.3007130007042183e-05,
                2.1444950955608285e-05
            ],
            [
                1.3007134660776729e-05,
                3.12019038277278e-05,
                4.539786306391805e-05,
                1.1478770856952364e-05,
                1.8925154970283563e-05,
                1.6701419824232864e-05,
                2.4300234842119066e-05,
                1.3007123803563812e-05,
                1.4738983703932378e-05,
                1.4738976691867467e-05
            ],
            [
                0.9999945777790995,
                0.9999921107364765,
                0.9999756997621738,
                0.999981074854057,
                0.9999921107402361,
                2.1444953470955293e-05,
                0.9999724642991519,
                0.9999832985801568,
                0.9999832985841405,
                0.9999810748450153
            ],
            [
                1.3007125351889727e-05,
                1.4738976684950577e-05,
                1.8925141448401585e-05,
                2.4300249397180202e-05,
                2.1444950930643612e-05,
                3.7266397276757403e-06,
                1.012999338699898e-05,
                6.144172402609439e-06,
                1.3007126900026555e-05,
                5.4222215516717245e-06
            ],
            [
                1.6701417828198142e-05,
                1.8925148209685606e-05,
                1.0129995784206343e-05,
                2.4300240718880753e-05,
                1.1478768118728544e-05,
                1.670142182986766e-05,
                1.0129992179495674e-05,
                2.753570093009022e-05,
                8.939694167639847e-06,
                1.147877083181342e-05
            ],
            [
                8.939700563752626e-06,
                0.9992903297170996,
                0.9999687980887777,
                0.9998204720132834,
                5.144220122617679e-05,
                1.892514369091749e-05,
                0.9999885212332588,
                0.9999921107402375,
                1.0129992178205843e-05,
                0.9994472212673737
            ],
            [
                5.829126509623737e-05,
                4.006370629243856e-05,
                2.430024360395595e-05,
                4.0063692167994334e-05,
                1.6701421832723305e-05,
                5.144223178811631e-05,
                5.1442219704738336e-05,
                2.7535684488840414e-05,
                1.892515498859713e-05,
                0.00023050680839378844
            ],
            [
                7.484622675479357e-05,
                3.120190756737323e-05,
                7.48461999526767e-05,
                7.484623577341946e-05,
                2.430025228977057e-05,
                5.829127228812649e-05,
                2.144494072376136e-05,
                3.12019075927991e-05,
                1.6701427807888088e-05,
                5.144222577580734e-05
            ],
            [
                7.889264457390238e-06,
                4.539786846594105e-05,
                7.889260701467423e-06,
                1.670142978217249e-05,
                6.14417679836736e-06,
                1.8925143702277406e-05,
                2.4300243576021038e-05,
                2.7535691053278508e-05,
                0.00012339452946727523,
                9.61024023844458e-05
            ],
            [
                3.7266410605974813e-06,
                2.1444956020629035e-05,
                4.006367773545022e-05,
                1.1478773584444762e-05,
                6.962255418367598e-06,
                1.6701417851711638e-05,
                1.6701415820862594e-05,
                1.147876947397637e-05,
                7.889260699917581e-06,
                2.1444956056827822e-05
            ],
            [
                0.9998766053815183,
                1.8925141455079837e-05,
                8.939699496489538e-06,
                4.00636873158513e-05,
                2.7535694350223355e-05,
                4.5397879186093264e-05,
                1.1478768121735194e-05,
                3.1201914971068876e-05,
                2.4300234900640922e-05,
                3.535624643217795e-05
            ],
            [
                0.9998415638215679,
                2.430024939965545e-05,
                5.829126537996031e-05,
                4.006370166619866e-05,
                7.484622709894109e-05,
                1.0129990974903845e-05,
                6.605216025614478e-05,
                7.48462091951041e-05,
                2.4300246499286082e-05,
                6.605212874576922e-05
            ],
            [
                6.1441760594691555e-06,
                3.12019224737456e-05,
                5.422220906558541e-06,
                2.1444958587934382e-05,
                2.753570075228574e-05,
                2.4300243587159647e-05,
                1.1478773591543802e-05,
                5.829129290193977e-05,
                6.9622537584863015e-06,
                8.939695229389795e-06
            ],
            [
                2.753568110845392e-05,
                4.006370166357524e-05,
                3.535625066302841e-05,
                4.006369687293547e-05,
                1.8925152740434357e-05,
                1.0129994598482479e-05,
                1.892515272983176e-05,
                4.006370164200498e-05,
                4.0063682489068473e-05,
                4.0063682561940974e-05
            ],
            [
                3.5356267206746724e-05,
                8.481100612840717e-05,
                8.939695226885593e-06,
                1.3007131557498195e-05,
                3.120192619296176e-05,
                1.6701427783220165e-05,
                1.670142381836882e-05,
                2.4300237770687153e-05,
                1.8925150466660388e-05,
                5.144219504919172e-05
            ],
            [
                8.93970056019145e-06,
                7.88926258185382e-06,
                1.4738981957765705e-05,
                1.0129992179495674e-05,
                1.3007125350754073e-05,
                2.1444958618516124e-05,
                1.4738978421036199e-05,
                1.0129993385303772e-05,
                5.829124450872812e-05,
                1.3007125342094687e-05
            ],
            [
                3.5356246402852425e-05,
                7.484623583876392e-05,
                3.1201911303159835e-05,
                4.539785769789816e-05,
                4.53978847760578e-05,
                3.12019150568812e-05,
                4.006367770251186e-05,
                1.3007133109847152e-05,
                0.00017952798487777037,
                5.829126539056281e-05
            ],
            [
                8.481103080463257e-05,
                0.9999339478397309,
                4.0063677713879955e-05,
                2.753570091766895e-05,
                9.610241368163221e-05,
                2.1444958622572883e-05,
                0.00013982207164364079,
                1.6701423809741124e-05,
                8.481105094076358e-05,
                1.6701417848916754e-05
            ],
            [
                2.430023782010365e-05,
                3.120190390934028e-05,
                2.7535697606699305e-05,
                1.1478764017720528e-05,
                3.5356254855807646e-05,
                5.8291265427035414e-05,
                7.48462357636178e-05,
                5.144223193894802e-05,
                8.48110408560377e-05,
                1.892514821299031e-05
            ],
            [
                5.1442201196235026e-05,
                8.4811010448844e-05,
                1.892514597343433e-05,
                0.00020342690828443067,
                0.00013982208827278194,
                3.120191506868607e-05,
                4.0063677758769415e-05,
                6.605217592675944e-05,
                8.939696299530582e-06,
                5.82912723436836e-05
            ],
            [
                2.4300249370748112e-05,
                2.4300246493981982e-05,
                1.4738981961519057e-05,
                6.144176064531938e-06,
                1.892514821904893e-05,
                5.144223799018203e-05,
                1.0129994595718555e-05,
                1.0129994591443684e-05,
                1.6701429797422853e-05,
                1.8925145977014425e-05
            ],
            [
                0.9997040428726406,
                0.9999952149060772,
                0.9999910603037018,
                0.9999938558246694,
                0.9999885212277744,
                2.430025212127702e-05,
                0.9999885212291469,
                0.9999910603037002,
                0.9999546021476836,
                0.9996646498352485
            ],
            [
                7.889259760542522e-06,
                2.4300246493981982e-05,
                1.67014258067487e-05,
                1.1478772225981004e-05,
                1.1478765375828365e-05,
                4.539788471231027e-05,
                2.144494328201519e-05,
                1.4738987234014356e-05,
                1.670142180981739e-05,
                1.1478773595970265e-05
            ],
            [
                2.1444948367551967e-05,
                2.144495347704044e-05,
                3.1201926219749737e-05,
                3.120190759915557e-05,
                2.4300234902055345e-05,
                6.605213645925017e-05,
                3.120190015664183e-05,
                9.610243735692595e-05,
                4.0063692112611227e-05,
                2.1444950947650794e-05
            ],
            [
                3.53562674909987e-05,
                6.96225624345168e-06,
                1.1478765380839446e-05,
                4.539785223278955e-05,
                6.96225541916544e-06,
                1.670142581373592e-05,
                2.430023778465461e-05,
                1.0129990969375998e-05,
                8.939697367703906e-06,
                4.006370162568153e-05
            ],
            [
                0.9999962733589416,
                0.9999945777816777,
                0.9999945777829773,
                0.9999898700090242,
                7.889264463446097e-06,
                0.999988521231878,
                1.6701415859504925e-05,
                0.9999869928668952,
                0.9999832985781607,
                0.9999938558224708
            ],
            [
                7.889259758619574e-06,
                8.939697362191404e-06,
                2.144495853379223e-05,
                1.0129989764010414e-05,
                1.147877359392407e-05,
                1.4738987205381632e-05,
                1.3007126907881513e-05,
                1.0129990972361035e-05,
                2.1444940727740105e-05,
                6.144174597297225e-06
            ],
            [
                0.9999852610145218,
                0.9999910603058291,
                0.9999339478557422,
                0.9999832985801692,
                0.9999885212346149,
                0.9999930377420924,
                0.9999785550567057,
                1.670141584741401e-05,
                0.999989870004194,
                0.9999898700054022
            ],
            [
                8.939700562988356e-06,
                1.6701417835367632e-05,
                4.0063701582832485e-05,
                8.939695231991565e-06,
                1.0129993389283824e-05,
                8.93970056152486e-06,
                1.1478773592378984e-05,
                0.00020342692185146182,
                2.7535691054881254e-05,
                4.2228324372555256e-06
            ],
            [
                0.9999952149037957,
                2.753569435172593e-05,
                0.9999974387184005,
                0.9999970976887074,
                0.9999952149049361,
                0.9999967112521113,
                0.999998005269328,
                0.00013982203916250294,
                1.4738978431545582e-05,
                1.300712999772033e-05
            ],
            [
                4.0063694635749155e-05,
                2.7535691028235637e-05,
                1.892514817636318e-05,
                1.3007128453983806e-05,
                1.6701415860173268e-05,
                1.3007134659451795e-05,
                7.889259759509296e-06,
                1.0129987352616339e-05,
                2.4300246454554855e-05,
                2.4300237786245837e-05
            ],
            [
                2.753568446199446e-05,
                1.3007126907455643e-05,
                1.892515047684989e-05,
                7.484622652717702e-05,
                4.0063691962493854e-05,
                2.144495093329611e-05,
                2.430023200831783e-05,
                3.288749404578337e-06,
                1.0129995803627524e-05,
                2.7535704148501754e-05
            ],
            [
                3.1201926203177517e-05,
                2.7535684488840414e-05,
                3.535625480796072e-05,
                3.120191130543e-05,
                0.00015843619692434117,
                4.539787931821248e-05,
                3.5356242238628006e-05,
                8.481106119455672e-05,
                1.0129993390610508e-05,
                7.484620868705099e-05
            ],
            [
                3.535624635037517e-05,
                1.3007125356479674e-05,
                7.889263518043432e-06,
                0.9999921107402373,
                0.9999957771670599,
                1.1478773585572257e-05,
                1.1478773587743728e-05,
                0.9999945777784536,
                2.144494839142443e-05,
                0.9999952149032243
            ],
            [
                3.5356263203810314e-05,
                2.4300237794201987e-05,
                0.9998204719508617,
                2.7535694350223355e-05,
                1.67014297980912e-05,
                3.120190389923804e-05,
                6.962257076628275e-06,
                2.7535691069506297e-05,
                4.0063706458587944e-05,
                1.147876401160283e-05
            ],
            [
                5.144220738594608e-05,
                2.1444940717130123e-05,
                7.889265402075495e-06,
                7.48462174388515e-05,
                3.120190377483292e-05,
                2.7535687719370776e-05,
                1.1478764004670832e-05,
                5.144221335296598e-05,
                2.1444948367551967e-05,
                1.1478772224060087e-05
            ],
            [
                3.535626746861868e-05,
                1.6701425811548617e-05,
                3.12019187588432e-05,
                1.0129988550869138e-05,
                3.1201903879941626e-05,
                4.539785226681024e-05,
                4.539785226284666e-05,
                0.00010889688302850017,
                2.1444950954750122e-05,
                2.753569764256071e-05
            ],
            [
                0.9999898700041953,
                3.535626750128837e-05,
                2.144494837441725e-05,
                1.1478766739385913e-05,
                0.9999921107383588,
                1.6701421816014746e-05,
                0.9999885212318783,
                0.9999785550464871,
                0.999512142947239,
                0.9995694428618473
            ],
            [
                2.75356844906435e-05,
                6.605217564130616e-05,
                2.1444943284979742e-05,
                4.539789022795839e-05,
                4.0063682591672956e-05,
                2.4300240700846825e-05,
                2.430024360395595e-05,
                1.8925143702277406e-05,
                5.144220109031605e-05,
                5.829127924760961e-05
            ],
            [
                1.4738981960929243e-05,
                4.539786301833694e-05,
                3.535625479201175e-05,
                2.144494838463716e-05,
                4.006369674205642e-05,
                4.222835457280279e-06,
                3.2887482793423147e-06,
                4.785094493184135e-06,
                5.829125847391544e-05,
                6.962253758182361e-06
            ],
            [
                8.481103025300852e-05,
                2.4300249360316715e-05,
                1.1478770851648967e-05,
                4.222831932781451e-06,
                1.6701417848916754e-05,
                1.3007133109847152e-05,
                6.962259561569511e-06,
                1.670141983431876e-05,
                8.939693104865575e-06,
                8.939695230918335e-06
            ],
            [
                4.0063682507140856e-05,
                1.1478768118310953e-05,
                1.6701429790071084e-05,
                3.1201926195004916e-05,
                0.0001233945868987089,
                0.9995121429584787,
                1.8925141440966004e-05,
                4.5397890043982335e-05,
                3.535625055421527e-05,
                4.5397857644059604e-05
            ],
            [
                NaN,
                4.006369198406411e-05,
                2.4300249386306803e-05,
                7.8892663403606e-06,
                8.481106121553572e-05,
                4.539785762159935e-05,
                1.1478768094508301e-05,
                4.0063696863607786e-05,
                4.539786855677299e-05,
                2.7535697622726747e-05
            ],
            [
                2.753568450657077e-05,
                0.9988304896439674,
                0.9999898700066111,
                0.9999785550592685,
                2.4300237794201987e-05,
                0.9978172839897415,
                0.9999756997534912,
                0.9998766054400324,
                0.9999038975508887,
                2.430023488631986e-05
            ],
            [
                1.1478772207774056e-05,
                8.939700563752626e-06,
                1.4738976684253527e-05,
                6.962254585203866e-06,
                3.7266397272757976e-06,
                8.939695229812583e-06,
                8.939699482277362e-06,
                7.889261643899223e-06,
                2.4300249354835816e-05,
                7.889260698769554e-06
            ]
        ]
    },
    {
        "q_id": "10763_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999151889691954,
                0.9999687980850376,
                0.9999417087211061,
                0.9998766053670509,
                0.9995121429525466,
                0.9999485577987188,
                0.9999785550567479,
                0.9999038976198701,
                0.9998911030529425,
                0.9998911031303557
            ],
            [
                0.9999930377404357,
                0.999959936298395,
                0.9986749777382218,
                0.9999417087277856,
                0.999978555043942,
                0.9999810748427478,
                0.9999339478555221,
                0.9999417087069298,
                0.999925153746443,
                0.9999810748585866
            ],
            [
                0.9999151889691399,
                0.9988304897295049,
                0.9975273768037399,
                0.9998766054261466,
                0.9997965730999463,
                0.9997694933696457,
                0.9999339478554703,
                0.9914225162257041,
                0.9998766053963807,
                0.9999417087427241
            ],
            [
                0.9999687980737836,
                0.9999546021422691,
                0.9996200155178487,
                0.999964643749416,
                0.9998911031043654,
                0.9996646497353594,
                0.9999724643023546,
                0.9999724643056755,
                0.999975699750724,
                0.9999339478794657
            ],
            [
                0.9998766053669288,
                0.9999251537373471,
                0.9999038975516857,
                0.9997040427723404,
                0.9999038975623662,
                0.9996200155722162,
                0.9999151889495602,
                0.9997040428025648,
                0.9999151889387017,
                0.9999339478399971
            ],
            [
                0.999941708741607,
                0.9998601778763776,
                0.9998204719704229,
                3.535625907997084e-05,
                0.9998601779434068,
                0.9991959140146114,
                0.9999810748472732,
                0.9999038976204211,
                0.9999756997679903,
                0.9999251537371739
            ],
            [
                0.9986749774650938,
                2.1444956060182448e-05,
                5.829124453120541e-05,
                3.120190388402792e-05,
                7.484622670360707e-05,
                0.9940889306047079,
                5.1442201250130194e-05,
                7.484626278955236e-05,
                0.9991959140833578,
                0.9964063982439368
            ],
            [
                0.9999251537462094,
                0.9999485577865778,
                0.9999785550541682,
                0.9999687980924183,
                0.9997694931765957,
                0.9999646437578114,
                0.999978555046496,
                0.999941708741741,
                0.9999785550593266,
                0.9999785550567619
            ],
            [
                0.001501182372080351,
                1.67014238214675e-05,
                1.8925157247225074e-05,
                2.7535700898135497e-05,
                2.1444948402034417e-05,
                1.1478773586115126e-05,
                0.9978172837752407,
                1.4738985475353963e-05,
                0.9924227588091764,
                4.0063682446219455e-05
            ],
            [
                0.9999546021099712,
                0.9999151889285448,
                0.9998766054556237,
                0.9997040427616455,
                0.9998911030650004,
                0.9999687980849711,
                0.9999852610110133,
                0.999985261018041,
                0.9999785550592712,
                0.9997040428037702
            ],
            [
                0.9999756997680224,
                0.9947798734697716,
                0.9998766054269564,
                0.9999646437367998,
                0.9999785550490627,
                0.9999485577619518,
                0.999933947863388,
                0.9996646498594939,
                0.9999599362887976,
                0.9999038976082527
            ],
            [
                0.9902915213606257,
                0.9859363738607044,
                0.9968273169358722,
                0.9971990728768034,
                0.13296423504419935,
                0.00020342701781514777,
                0.0850990519679964,
                3.120192247805892e-05,
                0.0013250221125052182,
                0.06008665059478844
            ],
            [
                0.999841563746783,
                0.9999646437536239,
                0.9999646437409275,
                0.9999546021098513,
                0.9998601778953259,
                0.9997694932054899,
                0.9999485577986705,
                0.9996200155211541,
                0.9999485577680484,
                0.9999038975969765
            ],
            [
                4.539787937205107e-05,
                0.005220126315015612,
                0.00010889686893133228,
                3.1201926212712214e-05,
                4.539788482296012e-05,
                2.4300246482312968e-05,
                1.8925150485318196e-05,
                3.5356246376099316e-05,
                0.18242552380635635,
                1.4738976688918406e-05
            ],
            [
                0.9999930377445821,
                0.9999910603068987,
                0.9999687980923697,
                0.9999546021098557,
                0.999959936293567,
                0.9999646437409301,
                0.9999785550515979,
                0.9999832985781717,
                0.9999885212277796,
                0.9998766053816548
            ],
            [
                0.9999599363126306,
                0.9999485577680836,
                0.9999251537461239,
                0.9999546021422833,
                0.9999339478397569,
                2.144494327218535e-05,
                0.9999038975859325,
                0.9999339478239858,
                0.9988304899220662,
                0.9999599362935387
            ],
            [
                0.999968798073793,
                0.9989677687386439,
                0.9999417087068236,
                0.9997965730291959,
                2.7535694312458696e-05,
                0.9998204719922985,
                0.999964643753547,
                0.9998911030918749,
                0.9999339478712672,
                0.9999485577986563
            ],
            [
                0.9902915236617891,
                0.9998911031300515,
                0.9999599363031495,
                0.9980732657033703,
                0.9999417087068805,
                0.9997388096323957,
                0.9999251537998002,
                0.9998415638239077,
                0.9996646497434184,
                0.9999417087278256
            ],
            [
                0.999981074854057,
                0.9998204719924134,
                0.9999756997652139,
                0.9999921107402426,
                0.9997694933693372,
                0.9999885212291474,
                0.9998911030911016,
                0.9999687980961566,
                0.9998415637839841,
                0.9999921107402385
            ],
            [
                0.9998911030783592,
                0.9999546021477249,
                0.9999724643089247,
                0.9999151889893784,
                0.9999038975395789,
                0.9998415637468153,
                0.9999724642990824,
                0.9991959139175245,
                0.9997388097280145,
                0.9999687980998293
            ],
            [
                0.9993736658462627,
                0.9999832985801632,
                2.1444958616409722e-05,
                1.473897844934719e-05,
                0.9996646499357328,
                0.9999038975396431,
                0.9999339478555221,
                0.9999785550490545,
                0.9999852610197885,
                0.9999898700126515
            ],
            [
                0.9999938558261321,
                0.9999869928715411,
                0.9999724642990793,
                0.9999546021152708,
                0.9999417087347396,
                0.9999339478790701,
                0.9999832985781686,
                0.9999910603026367,
                0.9999724643122239,
                0.9999810748427502
            ],
            [
                0.9999785550439309,
                0.9998601779102075,
                0.9999852610163044,
                0.9999810748427485,
                0.9999756997563835,
                0.9999832985801576,
                0.9999251537372034,
                0.9999339478790759,
                0.9999417087484398,
                0.9998911030650717
            ],
            [
                0.9998204719711361,
                0.9998766053989104,
                0.9997388096942265,
                0.9998601778770632,
                1.8925145968614975e-05,
                0.9999546021314105,
                0.999891103039086,
                0.9996200154272546,
                0.999903897597684,
                0.9999599363127996
            ],
            [
                0.9999724643154996,
                0.999978555046495,
                0.999978555049068,
                0.9999546021315252,
                0.9999810748495139,
                0.9999724643122307,
                0.9999869928731074,
                0.9998415637276177,
                0.9999756997564326,
                0.9999687980849485
            ],
            [
                0.9999151889488717,
                0.9999417087137606,
                0.9986749778687009,
                0.9999546021476945,
                1.4738987235622935e-05,
                0.9940889303201342,
                0.9999038975519597,
                0.9998204720558904,
                0.9993736658315796,
                0.999841563804279
            ],
            [
                0.9999038975738676,
                0.9986749777124957,
                0.9996200154314996,
                0.9740426435557124,
                0.9999756997507161,
                0.9998766054694268,
                0.9999339478636408,
                0.9997040429748265,
                0.9998204719717002,
                0.9994472214041745
            ],
            [
                0.9999687980812412,
                0.9999832985801618,
                0.9999687980961541,
                0.9999852610215528,
                0.9999938558232014,
                0.9999038975398766,
                0.999986992871546,
                0.9999485577926327,
                0.9997965731015535,
                0.9999756997650764
            ],
            [
                0.9998601778602713,
                0.9999646437324938,
                0.9999038975857184,
                0.9999599362937973,
                0.9999339478712672,
                0.9999251537821963,
                0.9999038975625634,
                0.9997388096923874,
                0.9997694932062076,
                0.9999339478712158
            ],
            [
                0.9975273764235673,
                0.9999339478792026,
                0.9997965729314802,
                0.9999646437451601,
                0.9978172830729154,
                0.9999485577742014,
                0.9999785550593071,
                0.9994472212848355,
                0.9999417087345258,
                0.9999724643089504
            ],
            [
                0.9986749774159522,
                0.9999485577742782,
                0.9999038975625242,
                0.9998601779100081,
                0.9999599363126407,
                0.9999724642990765,
                0.999664649828048,
                0.9998601779785041,
                0.9999687980820484,
                3.535624643706554e-05
            ],
            [
                0.9998601779606422,
                0.9998415638045718,
                0.9982992772721215,
                8.939698431129126e-06,
                0.9999339478475732,
                0.9996646498588206,
                0.9991959139964194,
                0.9999251537464834,
                3.120190385565084e-05,
                0.999925153799579
            ],
            [
                2.144494838580738e-05,
                1.670142779591868e-05,
                2.1444943276710197e-05,
                5.8291265134406375e-05,
                4.0063682407742773e-05,
                2.430024068917781e-05,
                1.300713464913624e-05,
                1.3007134651738787e-05,
                4.785093923516432e-06,
                2.144495859370747e-05
            ],
            [
                0.9998415638219251,
                9.610246018063617e-05,
                0.9996200153949083,
                0.00010889693402201366,
                9.610242558430115e-05,
                0.9999724643188024,
                3.120190388198478e-05,
                0.9999599362983018,
                0.9997694933718791,
                0.9999646437620616
            ],
            [
                0.999933947823992,
                0.9999485577928607,
                0.9999967112513285,
                0.9999724643187817,
                0.9999485577925747,
                0.9996200155692204,
                0.9999485577803746,
                0.9999869928700024,
                0.999373665758601,
                0.9999599363128127
            ],
            [
                0.9999151889793146,
                0.9999151889891938,
                0.9997694931785476,
                0.9999339478555428,
                0.999891103130175,
                0.9999251537819677,
                0.999915188928498,
                0.9999038975853087,
                0.999948557768173,
                0.9999599363030746
            ],
            [
                0.9999485577986859,
                0.9999339478477572,
                0.9997388096295686,
                0.999620015485425,
                0.9999038976085394,
                0.9993736657557956,
                0.9999151889896758,
                0.9998204719931344,
                0.999738809723432,
                0.9999151889387943
            ],
            [
                0.9989677689182288,
                0.9999417087415902,
                0.9999339478637483,
                0.9992903294847817,
                0.9999251537908969,
                0.9995121429046075,
                0.9999785550567869,
                0.9999251537912008,
                0.9999151889589181,
                0.9997965730306579
            ],
            [
                0.999954602126097,
                0.9999646437494563,
                0.9999724643122602,
                0.9997694932331499,
                0.9999810748562873,
                0.9999339478480811,
                0.9998601779439805,
                0.9998766054554711,
                0.9997388096366363,
                0.9995121427777631
            ],
            [
                0.9999485577621778,
                0.9999038975401032,
                0.9999724642990753,
                0.9999546021206388,
                0.9999687980961285,
                0.9999599362983516,
                0.9999852610162787,
                0.9999910603026402,
                0.9999832985821557,
                0.9999417087346094
            ],
            [
                0.999769493314527,
                0.9999646437493283,
                0.9999151889689775,
                0.999959936322189,
                0.9999251537731091,
                0.9999599363030746,
                3.5356267447524866e-05,
                1.6701429794688725e-05,
                0.9998911031049912,
                0.9991959139245393
            ],
            [
                0.999925153790854,
                0.9999485577743784,
                0.9999417087488218,
                6.605216805420816e-05,
                0.9997388096031066,
                0.9999339478555779,
                0.999738809568893,
                0.9998204719497829,
                0.9999339478712672,
                0.9999417087486285
            ],
            [
                0.9999417087486353,
                0.9995121427790404,
                0.9999646437493771,
                0.999903897608289,
                0.9999599362935642,
                0.9998415637461353,
                0.9999485577987188,
                0.9994472212621641,
                0.9859363718203602,
                0.9998911031173945
            ],
            [
                0.9999724643187915,
                0.9995121429582232,
                0.999933947840269,
                0.9999251537462013,
                0.9997388097253471,
                0.9999339478240112,
                0.9992903294882904,
                2.430023780286534e-05,
                0.9999151889184756,
                0.9996200154785378
            ],
            [
                0.999954602115301,
                0.999903897573904,
                0.9999687980849544,
                0.9999251537817928,
                0.9999546021480008,
                0.9999832985741877,
                0.9999485577805097,
                0.9999724643122083,
                0.9971990729281783,
                0.9999151889184656
            ],
            [
                0.9999417087491603,
                0.9997965730545602,
                0.9999485577741718,
                0.9999417087069624,
                0.9999038975397494,
                0.9999038975856193,
                0.9999151889892526,
                0.9999251537372883,
                0.999972464315534,
                0.9998204719951665
            ],
            [
                0.9999785550592712,
                0.9999756997535089,
                0.9999646437619633,
                0.9998911030525209,
                0.9997965730777223,
                0.9992903294964225,
                0.9999251538000364,
                0.999968798096219,
                0.9998766054268792,
                0.9999251537729958
            ],
            [
                0.9995121428421645,
                0.999948557780452,
                3.1201911298619494e-05,
                0.9999151889790857,
                0.9998911030913378,
                0.999959936303216,
                0.999903897539618,
                0.9998204719917813,
                0.9997694932878798,
                0.9999251537999373
            ],
            [
                4.5397873994468824e-05,
                0.0005527786811732367,
                1.8925150469896243e-05,
                5.144219505443152e-05,
                0.14804719239327382,
                0.029312228048464208,
                1.892515499389843e-05,
                0.003593602488880053,
                2.430024358875087e-05,
                1.1478764014985311e-05
            ],
            [
                2.144494584573034e-05,
                3.535624618496892e-05,
                0.00017952801993090776,
                0.0005527785170058142,
                2.430023782222529e-05,
                0.0159063923241052,
                0.9902915255779323,
                7.484625367889642e-05,
                0.9890130593427998,
                3.120191503327146e-05
            ],
            [
                0.999860177860021,
                0.9999599362935889,
                0.9999646437620014,
                0.9998911031302067,
                0.9999724643155028,
                0.9998911030915595,
                0.9999251537823031,
                0.9999038976083394,
                0.9999151889792159,
                0.9999417087555761
            ],
            [
                7.48462180748709e-05,
                0.9999038975393677,
                0.9999251537819165,
                0.9999417087415464,
                0.9999599363031209,
                0.999978555043976,
                0.9999485577987275,
                0.9999417087484589,
                0.9999646437367731,
                0.9999485577680016
            ],
            [
                0.9999151889184268,
                0.9997040428692477,
                0.9999687980961222,
                0.9999885212291509,
                7.484620832330023e-05,
                0.9982992777152605,
                0.9997965729558675,
                0.9999251537909601,
                0.9999646437366768,
                0.9999417087348809
            ],
            [
                0.9999417087068572,
                0.9999038976200212,
                0.9999687980924375,
                0.999981074854035,
                0.9999646437367032,
                0.9998601778767071,
                0.9999687980739775,
                0.9999339478712095,
                0.9999417087347935,
                0.9998204719717002
            ],
            [
                5.829128607647069e-05,
                6.605216010765143e-05,
                0.02033235330555682,
                0.01243165147061886,
                0.015906394073506722,
                0.007577241533989421,
                5.8291265192083985e-05,
                0.00029595707948265815,
                2.7535687765650007e-05,
                5.144219518243253e-05
            ],
            [
                0.9999832985761953,
                0.9999869928715659,
                0.9999038975856331,
                0.9999339478397501,
                0.9999785550439309,
                0.9999417087555027,
                0.9996200155209221,
                0.9999724643089485,
                0.9999151889286133,
                0.9999339478714296
            ],
            [
                0.999941708741613,
                0.9997965730283436,
                0.9999485578052955,
                0.9999251537461239,
                0.9999546021260055,
                0.9999251537641798,
                0.9999785550567278,
                0.9999599362937254,
                0.9997040428338914,
                0.9999756997477157
            ],
            [
                0.9971990733261711,
                0.9999339478477418,
                0.9998415638051065,
                0.9999151889486094,
                0.9999832985841449,
                0.9999546021476632,
                0.9999038975966479,
                0.9999756997651039,
                0.999876605425486,
                0.9998601779268205
            ],
            [
                0.9996200155610399,
                0.9959298632486631,
                0.9999339478317978,
                0.9991959140930853,
                4.5397868424653795e-05,
                5.829129304401336e-05,
                0.9998601779434068,
                0.9994472213456789,
                0.9992903296349133,
                0.99962001556471
            ],
            [
                0.9999151889792381,
                0.9998601779108239,
                0.9999599362887743,
                0.9999869928684668,
                0.9993736658527845,
                0.9999546021097657,
                0.9999785550464909,
                0.999978555046496,
                0.9999646437451345,
                4.006370643585172e-05
            ],
            [
                0.9995694428657178,
                0.9990889485949436,
                0.9998204720585339,
                0.9740426428492974,
                0.9989677689131871,
                0.9998204719956105,
                0.9997694932880742,
                0.9996200154331137,
                0.9995121427804879,
                0.9996200154389395
            ],
            [
                0.0005527787248761886,
                0.9999251537907886,
                0.00013982212061152354,
                0.9999251537462852,
                0.9999546021422423,
                6.605217593396786e-05,
                0.9525741305249489,
                0.00033535019597297054,
                0.9999646437366874,
                0.9999869928699961
            ],
            [
                0.9998601779438991,
                0.9998601779474797,
                0.9998911030657118,
                0.9997388095696758,
                0.9999417087069624,
                0.9999251537462591,
                0.9996646497904457,
                0.9998766053822329,
                0.9998601779602719,
                0.999968798084987
            ],
            [
                0.9998415637671125,
                3.535625485323523e-05,
                0.9999687980812105,
                0.9998766053960377,
                0.9999785550542009,
                0.9999151889791345,
                0.9998766053965028,
                0.9998766054107978,
                0.999876605410708,
                0.9998204720795656
            ],
            [
                0.9995694428687238,
                0.9998911031173772,
                0.9999810748517715,
                0.9999038976197429,
                7.484621782438381e-05,
                0.9999546021206352,
                0.9999832985722411,
                0.9998415637279036,
                0.9999832985761941,
                0.9997965729310954
            ],
            [
                0.9998601779606422,
                0.9999832985742014,
                0.9999646437535286,
                0.9999417087416016,
                0.9997040429444644,
                0.9999599363031565,
                0.9999646437620067,
                0.9999339478712945,
                0.9998911031304063,
                0.9999038975856905
            ],
            [
                0.9994472214041745,
                0.2689414330889797,
                0.01590638961253321,
                0.00017952792065897762,
                0.010986944401587203,
                0.20181321745968234,
                0.0474258736824553,
                0.020332351264950598,
                0.000804085920383413,
                0.22270012850745968
            ],
            [
                0.999954602109809,
                0.9999785550541588,
                0.9999785550541682,
                0.9999038975745583,
                0.9998415637278713,
                0.9997040427642718,
                0.9999646437324913,
                0.9999646437619825,
                0.9999687980849129,
                0.9999251537729397
            ],
            [
                0.9999869928730993,
                0.9996646498571132,
                0.9999417087555027,
                0.9999852610127649,
                0.9999724643188099,
                0.9997965730034855,
                0.9890130569038884,
                0.9999599363127212,
                0.9999832985761732,
                0.9997965731007248
            ],
            [
                0.9999646437451055,
                0.9999599362983279,
                0.9999599363222789,
                0.9999810748562908,
                0.9999339478397183,
                0.9999646437535286,
                0.9997694932049197,
                0.9999898700126831,
                0.9999599362888202,
                0.9999687980998164
            ],
            [
                0.9996646497744448,
                0.998498817693531,
                0.9997388097274902,
                0.9998766054127602,
                0.9998601779439805,
                0.9998601779111129,
                0.9998766053836639,
                0.9984988180514269,
                0.9999417087418591,
                0.9997388095998615
            ],
            [
                0.9999251537641264,
                0.9993736657097059,
                0.9999251537642364,
                0.9999724643023953,
                0.999915188979195,
                0.9999251537462852,
                0.9999485577619338,
                0.9999546021206901,
                0.9998911030395266,
                0.9995121429509005
            ],
            [
                0.9999921107355395,
                0.9998415637856554,
                0.9998911030651018,
                0.9998766053965656,
                0.9999339478711793,
                0.9999810748427829,
                0.9999785550541704,
                0.9999546021314468,
                0.9999599362887367,
                0.999948557804846
            ],
            [
                0.999948557786589,
                0.9999251537997577,
                0.9999810748450204,
                0.9998415637094921,
                0.999941708755551,
                0.9998601779595803,
                0.9999417087210323,
                0.9999724643188024,
                0.9999832985782724,
                0.9999756997680005
            ],
            [
                0.9995694429160199,
                0.9999038975398193,
                0.9998415637858398,
                2.753568446600132e-05,
                0.9859363760818384,
                0.9998601778601696,
                0.9998766053669288,
                0.9997388096357244,
                0.9982992773780639,
                0.9988304897995396
            ],
            [
                0.9999810748473152,
                0.9999724643187786,
                0.9999485577928674,
                0.9999810748517849,
                0.9999546021368796,
                0.9999687980774881,
                0.9998204720773193,
                0.9993736657881859,
                0.9999756997505934,
                0.9999724643122518
            ],
            [
                0.9996646498150131,
                0.9997694933712621,
                0.9996646499760572,
                0.999738809695868,
                0.9999251537462591,
                0.9998911031305648,
                0.999933947824066,
                0.9999417087069364,
                0.9999724643023739,
                0.9992903295738205
            ],
            [
                0.9999756997621879,
                0.9997965730035299,
                0.9998204719500232,
                0.999915188959144,
                0.999860177862271,
                0.9999038976196939,
                0.9999151889287737,
                0.9995694428820509,
                0.9999687980812352,
                0.9997388095727764
            ],
            [
                0.9999038976195779,
                0.9978172840049542,
                0.9999485577741635,
                0.9995121427740732,
                0.9999151889588693,
                0.9999646437451076,
                0.9964063967691322,
                0.9995121428451447,
                0.9999417087486484,
                2.4300234870407578e-05
            ],
            [
                0.9993736658496147,
                0.9999151889288428,
                0.9999339478476631,
                8.4811050928423e-05,
                0.9971990732715447,
                0.99996464373252,
                2.144494583410617e-05,
                0.9995694429732113,
                2.4300243612265703e-05,
                0.9999038976100706
            ],
            [
                0.9998601778940769,
                0.9999756997593585,
                0.9999038976091896,
                0.9999417087139167,
                0.9998204720190873,
                0.9999756997505913,
                0.9992903296010645,
                0.9999546021205791,
                0.9999546021481619,
                0.9999038975855506
            ],
            [
                0.0019267348137676284,
                0.0021827168180593107,
                0.022977372335312288,
                0.029312232606282417,
                0.003593603371762119,
                0.9984988179913995,
                0.9986749775268672,
                0.004609572264838405,
                0.9840936096585496,
                0.9933071499208528
            ],
            [
                0.9999417087207757,
                0.9999546021315341,
                0.9999485577619005,
                0.9998415637837214,
                0.999891103130511,
                0.9999251537907651,
                0.9997388095992537,
                0.9997965729315333,
                0.9998766054266063,
                0.999933947823931
            ],
            [
                0.9999339478637675,
                0.9999852610162953,
                0.9999251537728939,
                0.9998601779769093,
                0.9999038975626026,
                0.9997040427685171,
                0.9999646437409514,
                0.9999485577805217,
                0.9999546021476804,
                0.9997965729551455
            ],
            [
                0.9999485577803511,
                0.9999852610198201,
                0.9999339478791335,
                0.9999151889292736,
                0.9998204720394348,
                0.9999724643155044,
                0.999972464305766,
                0.999959936317424,
                0.9999599362888408,
                0.9999038975622865
            ],
            [
                0.06008665438181588,
                0.9959298614044862,
                NaN,
                5.422218967491273e-06,
                2.7535700894529325e-05,
                0.1192029188930649,
                0.0001795280483338797,
                0.005220126791385588,
                1.8925152721432305e-05,
                0.1645164608483867
            ],
            [
                0.9999921107374207,
                0.9999756997506027,
                0.9999339478317867,
                0.9999930377454138,
                0.9999910603026447,
                0.9999151889490135,
                0.9999599363175186,
                0.9999810748517738,
                0.9999724643025234,
                0.9999930377420935
            ],
            [
                0.999915188989587,
                0.9999151889690262,
                0.9998601779097498,
                0.9999646437326143,
                0.9999151889592033,
                0.9997388095693566,
                0.9999038975968856,
                0.9999151889491432,
                0.9995121428599324,
                0.9997965729303554
            ],
            [
                0.9999038975855228,
                0.9999251537554138,
                0.9993736657622081,
                0.999981074854089,
                0.9999038975396431,
                0.9999417087347078,
                0.9999251537818918,
                0.9999485577805037,
                0.00020342704299585598,
                0.9991959141596338
            ],
            [
                0.9999885212291516,
                0.9999485577987275,
                0.9999485577928413,
                0.9996646497725129,
                0.9999151889490592,
                0.9999898700054043,
                0.9997694932045442,
                0.9999599363078577,
                0.9999910603037047,
                0.9999832985802312
            ],
            [
                0.9999251537640033,
                0.9999599363221943,
                0.9998415638038225,
                0.999903897539906,
                0.9999724643024812,
                0.9999038975968478,
                0.999925153746405,
                0.9999038975625759,
                0.9999724643023616,
                0.9999339478324907
            ],
            [
                0.9999038975853451,
                0.9994472213993186,
                0.9998911030394917,
                0.999968798096118,
                0.9999810748517721,
                0.9999151889795047,
                0.9998204720175671,
                0.999981074858544,
                0.9996200155712986,
                0.999903897596573
            ],
            [
                0.9998766053817356,
                0.9999724643089319,
                0.9998911030531421,
                0.9999756997679976,
                0.9999546021477209,
                0.999959936317469,
                0.999983298570271,
                0.9999485577925624,
                0.9999339478399077,
                0.9998415637464672
            ],
            [
                0.999975699750669,
                0.9999832985781725,
                0.9998766054405781,
                0.9994472214001225,
                0.9999756997564685,
                0.9998911030785114,
                0.9999339478640232,
                0.9996646500167718,
                0.9998766054113974,
                0.9999417087207757
            ],
            [
                0.9996200155332039,
                0.9996646499314886,
                0.999738809789131,
                0.9980732653174198,
                0.999964643745125,
                0.9995121428545396,
                0.9998204719925676,
                0.9995694428191731,
                0.9796676444312251,
                1.8925145960215522e-05
            ],
            [
                0.9998766054550079,
                0.9999417087557695,
                0.9997388096916577,
                0.9999339478478533,
                0.9999485577864349,
                0.9998204719925676,
                0.9999646437451921,
                0.9999251537819763,
                0.9998204720779854,
                0.9998766053821879
            ],
            [
                0.9999756997592951,
                0.999290329646843,
                0.99996464373677,
                0.9999546021206244,
                0.9999599363126381,
                0.9999485577925789,
                0.9999785550439266,
                0.9999485577741557,
                0.9999832985841536,
                0.9999687980998164
            ],
            [
                0.042087731520181665,
                0.05340333450779176,
                0.0007096703155933,
                0.0005527787125596094,
                0.1066905996264336,
                0.047425869475051126,
                0.0015011820895676601,
                0.32082128783705344,
                0.0001398220727361106,
                0.003593602341316217
            ],
            [
                0.9999599362935764,
                0.9999756997651352,
                0.9999339478634154,
                0.9999687980849168,
                0.9999417087415015,
                0.9999724643122478,
                0.9999756997592913,
                0.9999251537997015,
                0.9999646437494322,
                1.6701421832054962e-05
            ],
            [
                0.9999038976198449,
                0.9991959139699028,
                0.9999339478792325,
                0.9999339478318646,
                0.9986749776564221,
                0.9998911030523878,
                0.99990389756239,
                0.9996646497372716,
                0.9999599363222511,
                0.9999251537642646
            ],
            [
                0.9991959139816411,
                0.9999599363079352,
                0.9999485577865307,
                0.9999339478790523,
                0.9999599363174413,
                0.9999251537731657,
                0.9999417087069298,
                0.9999546021206537,
                0.9999810748563498,
                0.9999785550592998
            ],
            [
                0.9997965730041041,
                0.999903897620168,
                0.9999038976197933,
                0.9996646498758558,
                0.9997388096316737,
                0.9998415637281018,
                0.9999038975855368,
                0.9999339478319819,
                0.9999485577803994,
                0.9999417087484839
            ],
            [
                0.999195914191201,
                0.9997694932863974,
                0.9999417087557932,
                0.9998415638413141,
                0.9997965730524824,
                0.9999785550541692,
                0.999941708727839,
                0.9998911030527158,
                1.892514822538295e-05,
                4.006369670124781e-05
            ],
            [
                0.9994472213357419,
                0.999860177910232,
                0.9999251537554247,
                0.9991959140840126,
                0.999769493232573,
                0.9959298614384628,
                0.9999038975513151,
                0.9998911030653648,
                0.9999485577805337,
                0.9999251537463211
            ],
            [
                0.9999485578048216,
                0.9999785550567123,
                0.9999151889892623,
                0.9999785550490667,
                0.9999724643057047,
                0.9999038975400096,
                0.9999832985781646,
                0.9999687980998273,
                0.999860177876636,
                0.9999756997679917
            ],
            [
                0.9999646437367763,
                0.9999599362983198,
                0.9996646498545863,
                0.9999038975749192,
                0.9998204720779462,
                0.9998601779160239,
                0.999978555051634,
                0.999915188938682,
                0.9999832985721984,
                0.9999546021097916
            ],
            [
                0.9999485577741759,
                0.9995694428214777,
                0.9998766054697894,
                0.9999599363079387,
                0.9997388096640786,
                0.9998911030914899,
                0.9914225126459159,
                0.9998911030396834,
                0.999796572930906,
                0.9991959139193015
            ],
            [
                1.6701417837251142e-05,
                1.892514145136205e-05,
                5.144219501139025e-05,
                3.5356237893820615e-05,
                1.1478770847848893e-05,
                1.3007131550163741e-05,
                2.1444943247610763e-05,
                5.1442231827040623e-05,
                1.8925152731759507e-05,
                2.1444958604629516e-05
            ],
            [
                0.9999599363126209,
                0.9999485577864229,
                0.9999785550440082,
                0.9999810748450095,
                0.9999785550516065,
                0.9997040429480206,
                0.9998415638031701,
                0.9999038975398628,
                0.9999756997651453,
                0.9999151889285448
            ],
            [
                1.4738981947899752e-05,
                0.9993736657795145,
                0.9999646437324987,
                0.9999251537640588,
                0.9999599362935613,
                0.9999687980999317,
                0.9999810748472722,
                0.9999599362985189,
                0.9998204719498612,
                0.9999646437619848
            ],
            [
                9.610237845466294e-05,
                0.9959298616064585,
                0.05340332961150555,
                8.481103050105424e-05,
                9.610240294098498e-05,
                4.006371120842025e-05,
                5.144220116479618e-05,
                0.00048785710501440295,
                0.004609571833244233,
                4.006370160848361e-05
            ],
            [
                3.120192245603829e-05,
                0.9997965730050571,
                0.9998415637273135,
                0.999941708748561,
                0.9998601778602957,
                0.9998204720568256,
                0.9995694429220322,
                0.9999599362888041,
                0.9999756997651473,
                0.9999646437536636
            ],
            [
                0.9999599362982967,
                0.9997965731017547,
                0.9999546021152876,
                0.9999724643187865,
                0.999954602136831,
                0.9999756997650872,
                0.999954602109809,
                0.9999151889489457,
                0.9999251537462258,
                0.9999724643187701
            ],
            [
                0.9999724643122083,
                0.9999724643023631,
                0.9998415637482331,
                0.9999646437535306,
                0.9992903296634783,
                0.999512142834047,
                0.9999756997679742,
                0.9989677691328667,
                0.9999599363174296,
                5.8291272059112436e-05
            ],
            [
                0.9999417087345535,
                0.999954602109809,
                0.9999485577618926,
                0.9999832985702045,
                0.9999869928699961,
                0.0002959572284949335,
                0.9999832985721898,
                0.9999869928669128,
                0.9997388097964038,
                0.9999898700126536
            ],
            [
                0.9999810748585362,
                0.9999756997621971,
                0.9999898700126528,
                0.9999724643188332,
                0.9999785550490493,
                0.9999724643188425,
                0.9999756997505945,
                0.9999687980886588,
                0.9999417087414875,
                0.9999646437619893
            ],
            [
                0.004070137330827497,
                0.06754669442450782,
                0.0019267346937736959,
                0.9924227590612982,
                0.9975273773315023,
                0.025957357904211727,
                0.00020342702013551378,
                0.00132502220123715,
                0.00857748686305113,
                0.9975273766618932
            ],
            [
                0.9998766053819869,
                2.430024360271833e-05,
                0.9997040429523434,
                0.9997694932059459,
                0.9992903296824254,
                0.9999339478476496,
                1.4738988989779516e-05,
                0.9997388097578507,
                0.9998911030402474,
                0.9465966692585823
            ],
            [
                0.9999038975968981,
                0.9997388097563841,
                0.9998766054113131,
                0.9999546021422797,
                0.9998601779435574,
                0.9999339478712158,
                0.9998911030523705,
                0.999841563746783,
                0.9999756997650924,
                0.9998415637109075
            ],
            [
                2.4300237770687153e-05,
                0.9997040429420964,
                0.9998766054699887,
                0.9975273768094828,
                0.9999599363126432,
                0.9999546021315657,
                0.9998911031039929,
                5.829127914243277e-05,
                8.939699494570733e-06,
                0.9998415638032946
            ],
            [
                0.9999599363079833,
                0.9999546021315519,
                0.9999546021206244,
                0.9995694428287426,
                0.9998766053670707,
                0.9996646499384548,
                0.9994472213605359,
                0.9990889486426272,
                0.9999485577929086,
                0.9998415637088627
            ],
            [
                0.9999910603068978,
                0.9999339478318275,
                0.9999417087071065,
                5.144220121644571e-05,
                0.9999898700126661,
                0.999964643753884,
                0.9999038976084177,
                0.9999852610110431,
                0.989013057328927,
                0.9997040428016003
            ],
            [
                0.9999546021260151,
                0.9999756997592832,
                0.9998911030912886,
                0.9999869928653544,
                0.9999151889589687,
                0.9999646437535449,
                0.9999832985841457,
                0.999903897597003,
                0.9999339478554337,
                0.9998204719500624
            ],
            [
                0.9999646437493349,
                0.9998601779606158,
                0.9999646437577508,
                0.9999151889385877,
                0.9999599363174296,
                0.9999417087555761,
                0.99937366592416,
                0.9997965730536427,
                0.9998911030525209,
                0.9999339478633812
            ],
            [
                6.605216787447834e-05,
                5.8291251427494325e-05,
                6.605217612907568e-05,
                6.605217594117627e-05,
                1.892515047684989e-05,
                2.7535697654881812e-05,
                3.535625064630772e-05,
                0.0001233945736970893,
                0.00010889688218872277,
                6.605215955981193e-05
            ],
            [
                0.9997694933753668,
                0.999948557780851,
                0.9999485577803994,
                0.9997965731017547,
                0.9999038975397229,
                0.9999151889589786,
                0.9999251537729958,
                0.9997965731030392,
                0.9999251537551628,
                0.9998911030396122
            ],
            [
                0.999933947871274,
                0.9999251537550304,
                0.9999546021205913,
                0.999978555059284,
                0.9999785550413836,
                0.9999785550515963,
                0.9999251537469321,
                0.999925153790837,
                0.9999756997622029,
                0.9999810748517755
            ],
            [
                0.9999251537372333,
                0.9999599363126186,
                0.999447221464664,
                0.9997040429064212,
                1.3007126902392506e-05,
                0.999948557762005,
                0.9999646437620014,
                0.9998601779270503,
                1.3007131556504496e-05,
                0.9998204719922985
            ]
        ]
    },
    {
        "q_id": "10600_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            46,
            47,
            48,
            49,
            50,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            45,
            51,
            52,
            63,
            106
        ],
        "rewards": [
            [
                1.2098659719661556e-06,
                8.315280276607289e-07,
                2.9023123310580418e-06,
                9.422447062240614e-07,
                3.726640172337686e-06,
                9.422450431654909e-07,
                8.315278294072958e-07,
                5.715006514151423e-07,
                1.9947299592933255e-06,
                8.315284240766063e-07
            ],
            [
                1.5534975693869924e-06,
                6.475947981904966e-07,
                8.315277302701984e-07,
                2.260324297853209e-06,
                3.9278634071508535e-07,
                1.2098652508391807e-06,
                2.2603245672867952e-06,
                2.2603251061664e-06,
                1.55349775456958e-06,
                1.994729959224386e-06
            ],
            [
                1.3709575337078829e-06,
                8.315280276607289e-07,
                1.3709572068354007e-06,
                1.3709570433885908e-06,
                8.315277302819205e-07,
                3.2887494573561262e-06,
                1.2751908849167202e-07,
                3.9278634073625165e-07,
                2.561282210701601e-06,
                5.715005832827105e-07
            ],
            [
                6.475947210031623e-07,
                9.422447062240614e-07,
                1.2098661161927025e-06,
                3.4663249713205845e-07,
                8.315281267834927e-07,
                1.7603440526806268e-06,
                1.8553910183548312e-07,
                9.422449308673789e-07,
                1.5534983100765009e-06,
                1.5534975693933505e-06
            ],
            [
                3.726639728224814e-06,
                1.0129989769722525e-05,
                5.422218321855664e-06,
                1.99473067264854e-06,
                1.1478764020372226e-05,
                3.2887494571676872e-06,
                6.9622562489985925e-06,
                3.7266392839832006e-06,
                2.9023123310290063e-06,
                1.9947301970813926e-06
            ],
            [
                1.1478764018576587e-05,
                5.422218969601935e-06,
                5.422218969720291e-06,
                6.144176066795103e-06,
                1.8925152750692706e-05,
                1.9947292459347367e-06,
                1.473898899742027e-05,
                4.785092783319532e-06,
                1.1478765387667046e-05,
                1.670141985245514e-05
            ],
            [
                4.785093353787868e-06,
                1.553497754577351e-06,
                1.8925141470949294e-05,
                7.338209804773549e-07,
                2.561283431888668e-06,
                8.93969630317306e-06,
                1.4738980211116665e-05,
                6.962258739530771e-06,
                5.422217676654099e-06,
                5.422217676797111e-06
            ],
            [
                2.5612815998491325e-06,
                3.2887490653647836e-06,
                1.0129992186589747e-05,
                8.939693105662367e-06,
                6.962254589705982e-06,
                3.2887490653109436e-06,
                3.726641061027928e-06,
                5.422217029272909e-06,
                7.889265406151004e-06,
                7.88926164421493e-06
            ],
            [
                1.2098655391782321e-06,
                1.3709578605355551e-06,
                1.7603427936079236e-06,
                4.2228344508893285e-06,
                2.5612815999679353e-06,
                3.726639727940109e-06,
                3.726639284050988e-06,
                2.260325375391425e-06,
                2.902311639126627e-06,
                3.7266392838544054e-06
            ],
            [
                1.7603432133032607e-06,
                3.726638395527247e-06,
                2.902313023101807e-06,
                4.222833444467892e-06,
                7.8892625849535e-06,
                2.2603237589676295e-06,
                2.260324028331257e-06,
                1.6701423834591316e-05,
                4.785095065093186e-06,
                2.9023126771227976e-06
            ],
            [
                2.2603245672497918e-06,
                1.5534981249574276e-06,
                1.2098662604192665e-06,
                1.5534979397267575e-06,
                3.2887498493983645e-06,
                1.994729959270648e-06,
                1.0677024881761599e-06,
                1.2098655392811161e-06,
                8.315283250343497e-07,
                9.422448185435711e-07
            ],
            [
                4.785096776133645e-06,
                4.785095065093186e-06,
                4.222834954280646e-06,
                1.9947299592570416e-06,
                8.939699500636112e-06,
                4.7850939242083995e-06,
                1.1478769493916314e-05,
                2.9023133690188264e-06,
                1.1478769489719528e-05,
                1.1478770861441461e-05
            ],
            [
                3.288749849209925e-06,
                1.9947301970451086e-06,
                3.288749457409966e-06,
                2.9023133689924295e-06,
                3.7266401724291984e-06,
                1.5534975693488444e-06,
                5.422218969029887e-06,
                3.2887482812506295e-06,
                1.6701429804744246e-05,
                2.10243290909724e-07
            ],
            [
                1.5534983101301911e-06,
                2.902313023039776e-06,
                1.3709568799592562e-06,
                1.3709567165386693e-06,
                7.338207180801359e-07,
                1.2098661161789477e-06,
                9.422443692527585e-07,
                7.338212429464139e-07,
                4.4508505193932864e-07,
                2.5612812947240366e-06
            ],
            [
                1.0129988561648438e-05,
                1.4738988994015443e-05,
                2.144495351862222e-05,
                9.610237992012247e-05,
                6.144172403827636e-06,
                2.7535684505068197e-05,
                2.902312331081799e-06,
                1.0129989770662257e-05,
                2.9023109465275493e-06,
                1.4738988998117324e-05
            ],
            [
                8.315281267834927e-07,
                1.2098653950480359e-06,
                3.2887506335906595e-06,
                7.338213304283347e-07,
                3.288749457432399e-06,
                1.5534979397267575e-06,
                2.902313022984344e-06,
                3.288748673319648e-06,
                1.2098652508287273e-06,
                1.3709568799823232e-06
            ],
            [
                7.338212429562581e-07,
                1.3709570433536782e-06,
                1.7603436330091044e-06,
                1.2098662604192665e-06,
                2.699577774560111e-07,
                8.315280276456036e-07,
                1.067702870039777e-06,
                7.338210679909462e-07,
                3.2887478892504536e-06,
                7.338209805090567e-07
            ],
            [
                2.561282515988704e-06,
                1.2098662604192665e-06,
                1.5534975693488444e-06,
                6.144176066353646e-06,
                1.2098653950606901e-06,
                3.7266406167827664e-06,
                4.785096205512581e-06,
                1.553498310118888e-06,
                6.9622587393661365e-06,
                9.422450431260706e-07
            ],
            [
                3.1201922508819695e-05,
                1.473898020838208e-05,
                1.3007134662432895e-05,
                1.1478765387416494e-05,
                1.8925143700143116e-05,
                2.430024651882284e-05,
                1.3007123811513407e-05,
                3.2887506333394084e-06,
                1.1478766756444477e-05,
                1.892514372479069e-05
            ],
            [
                3.288748279952497e-06,
                1.4738981968462759e-05,
                8.93969630226244e-06,
                1.9947290081286418e-06,
                1.8925155006118952e-05,
                1.5534983101301911e-06,
                7.889264462470271e-06,
                0.9990889489764128,
                4.2228324375973415e-06,
                3.5356238062828204e-05
            ],
            [
                5.422220908402905e-06,
                1.0677029972522599e-06,
                1.5534979395798164e-06,
                4.222832941111319e-06,
                6.14417313680765e-06,
                1.3709575336860625e-06,
                3.7266401719851935e-06,
                4.222831934052698e-06,
                1.6701425823457267e-05,
                1.4738988989779516e-05
            ],
            [
                6.9622579092224155e-06,
                5.422219615967477e-06,
                3.288750241500471e-06,
                8.939700565834043e-06,
                5.422220262505697e-06,
                1.3709572068079696e-06,
                4.222832940577472e-06,
                1.670142183983204e-05,
                1.012999218369684e-05,
                7.889263525405172e-06
            ],
            [
                5.422220908314139e-06,
                2.561282516042282e-06,
                3.726638839656906e-06,
                2.561282515886208e-06,
                4.222834954403545e-06,
                4.785093353787868e-06,
                2.260324836776948e-06,
                7.88925976283858e-06,
                1.7603432133032607e-06,
                1.8925150491445666e-05
            ],
            [
                7.889259763326495e-06,
                2.902313022659669e-06,
                1.670142383495587e-05,
                2.902312677104321e-06,
                8.939695237666677e-06,
                1.5534971989907999e-06,
                1.2098658277451275e-06,
                9.422448183241877e-07,
                1.3709576971242028e-06,
                5.043475284274736e-07
            ],
            [
                3.726640172290235e-06,
                6.144176066672166e-06,
                1.7603438428660665e-06,
                9.422449308774482e-07,
                1.2098659719661556e-06,
                1.0677028700266676e-06,
                4.78509563550957e-06,
                2.902310947208574e-06,
                1.0677024881941248e-06,
                1.2098659719716573e-06
            ],
            [
                1.9947294834796172e-06,
                1.209865683518615e-06,
                5.422217030663578e-06,
                2.5612834320214477e-06,
                1.6701425825128124e-05,
                1.3007123810638006e-05,
                1.55349775456958e-06,
                8.93969736942758e-06,
                8.93969736955767e-06,
                1.9947292456281383e-06
            ],
            [
                1.147876401711502e-05,
                2.2603242978377903e-06,
                7.889265406567165e-06,
                1.0129988561648438e-05,
                6.144173869240119e-06,
                5.422218969769604e-06,
                1.473898020682712e-05,
                5.422217676486429e-06,
                6.9622579092224155e-06,
                1.3007133113017532e-05
            ],
            [
                6.962257079553702e-06,
                1.3007126912542439e-05,
                1.0129990979694647e-05,
                2.902311293147782e-06,
                1.0129990978847043e-05,
                4.78509563550957e-06,
                6.144173136131494e-06,
                8.93969417150998e-06,
                2.753569108924008e-05,
                1.892514372737249e-05
            ],
            [
                1.0129990978847043e-05,
                5.42222090821551e-06,
                5.71500719531729e-07,
                5.422217030121119e-06,
                1.3709572068354007e-06,
                6.9622579092224155e-06,
                7.889264465699106e-06,
                1.553497754583709e-06,
                6.962259568078904e-06,
                6.9622570784012604e-06
            ],
            [
                1.9947304347098384e-06,
                2.2603251062147097e-06,
                3.2887506328279317e-06,
                1.6701421833391647e-05,
                6.144177531532303e-06,
                1.3007131561804229e-05,
                3.288750633488963e-06,
                4.2228349546493465e-06,
                8.939693106987645e-06,
                8.939695237504067e-06
            ],
            [
                5.422219615829396e-06,
                2.5612828212909852e-06,
                1.3007125361448172e-05,
                3.2887486732000038e-06,
                4.785093353626844e-06,
                1.4738985483879434e-05,
                1.0129993394314164e-05,
                2.1444940740066406e-05,
                3.1201907643310305e-05,
                4.785093924103951e-06
            ],
            [
                1.1478769493331685e-05,
                1.0129993394129904e-05,
                5.422221554581283e-06,
                4.222832941111319e-06,
                8.93970056565517e-06,
                1.0129992185539456e-05,
                5.422218969720291e-06,
                1.0129992187253088e-05,
                3.726638395215427e-06,
                1.4738988991495334e-05
            ],
            [
                1.994729008056074e-06,
                1.4738976699427788e-05,
                5.422217677028889e-06,
                2.9023133689317184e-06,
                1.0129995809929273e-05,
                6.144173868781898e-06,
                6.1441760667392215e-06,
                6.144175334172377e-06,
                6.962256249517824e-06,
                1.9947306725215466e-06
            ],
            [
                4.222834450743383e-06,
                2.2603245671202796e-06,
                3.288750633569722e-06,
                1.7603440527046419e-06,
                4.222831934321543e-06,
                6.1441724044534996e-06,
                5.422217673931937e-06,
                4.7850933535006355e-06,
                7.889266346287306e-06,
                2.2603251061232293e-06
            ],
            [
                1.0677031245953668e-06,
                1.3709573702722555e-06,
                4.4508510499737865e-07,
                5.04347528438253e-07,
                1.7603427936335396e-06,
                1.2098656834922064e-06,
                9.422442569208767e-07,
                2.3823682479292225e-07,
                6.47594720987407e-07,
                1.7603440526806268e-06
            ],
            [
                1.5534973841895917e-06,
                2.6995787400208416e-07,
                4.785096205882502e-06,
                4.4508526417298334e-07,
                3.927862939126708e-07,
                2.260324297853209e-06,
                4.450852641656969e-07,
                4.4508499888219586e-07,
                2.902313023101807e-06,
                1.2098652508347793e-06
            ],
            [
                2.561282516042282e-06,
                1.4738988987366645e-05,
                2.144495096161541e-05,
                4.222834451215781e-06,
                9.422449308748773e-07,
                7.889260704050487e-06,
                4.222834451065997e-06,
                3.288750633488963e-06,
                4.785095065093186e-06,
                9.422449308420983e-07
            ],
            [
                0.9998415638021905,
                1.3007133115903994e-05,
                1.300713001414004e-05,
                3.288750241500471e-06,
                3.120192622644674e-05,
                1.8925145982350146e-05,
                4.785092783319532e-06,
                8.939700566143004e-06,
                6.1441753335241615e-06,
                2.14449458497871e-05
            ],
            [
                1.2098653950606901e-06,
                2.3823690999236795e-07,
                2.2603237589542675e-06,
                3.7266383955882547e-06,
                1.1478768125201194e-05,
                1.7603434231505666e-06,
                3.7266379513434106e-06,
                1.994729483694599e-06,
                1.2098656834723998e-06,
                1.0677032518748838e-06
            ],
            [
                1.3709578605455302e-06,
                2.2603237589542675e-06,
                8.939698433974813e-06,
                4.222834451292594e-06,
                1.6701419851270353e-05,
                2.902312331125353e-06,
                4.785093353739995e-06,
                1.3007134659924986e-05,
                3.726637951170554e-06,
                4.2228349547223175e-06
            ],
            [
                1.3007125360809367e-05,
                1.8925143725341476e-05,
                1.1478764018827141e-05,
                1.6701417861189946e-05,
                6.144175334172377e-06,
                0.000179527900546532,
                4.5397879448184774e-05,
                8.939699500766203e-06,
                7.889262585211807e-06,
                1.1478764019557924e-05
            ],
            [
                7.8892625849535e-06,
                2.144495096457996e-05,
                8.315280276546789e-07,
                1.994729483694599e-06,
                1.9947306726594253e-06,
                1.3007131564383116e-05,
                2.2603248367656408e-06,
                1.0129987355343409e-05,
                5.422218969532895e-06,
                2.2603251062147097e-06
            ],
            [
                1.6701419849933667e-05,
                6.962257079376403e-06,
                6.96225956921868e-06,
                5.4222202624563834e-06,
                3.2887498494551953e-06,
                7.889266346129453e-06,
                1.1478770861650256e-05,
                8.93969630226244e-06,
                5.422218323399208e-06,
                8.93969417150998e-06
            ],
            [
                5.422221554670048e-06,
                4.785096205778054e-06,
                3.726640616748873e-06,
                4.785092782779884e-06,
                3.12019262448351e-05,
                4.785093924047376e-06,
                1.3709567165579959e-06,
                1.7603430032662588e-06,
                2.7535687788789623e-05,
                3.288749457409966e-06
            ],
            [
                1.994729721482609e-06,
                3.7266392839832006e-06,
                3.7266383955611403e-06,
                1.7603430034655858e-06,
                6.962258738283349e-06,
                0.9984988178720428,
                8.939700566435704e-06,
                9.422443692261927e-07,
                3.2887506333394084e-06,
                3.2887502415243994e-06
            ],
            [
                2.5612828212676906e-06,
                7.889264466230069e-06,
                8.93969310662177e-06,
                1.1478766756444477e-05,
                8.939698432917844e-06,
                1.4738978457041559e-05,
                4.7850944945245504e-06,
                2.1444953524161264e-05,
                1.5534973839642345e-06,
                8.93969310584124e-06
            ],
            [
                6.9622579092224155e-06,
                1.3007133114318805e-05,
                1.2098653950551882e-06,
                6.962255419475714e-06,
                3.7266397280960194e-06,
                1.0129990979215566e-05,
                3.2887482811579057e-06,
                1.5534979396448094e-06,
                1.012999097799944e-05,
                4.222834451215781e-06
            ],
            [
                5.4222183231674305e-06,
                1.3007125360809367e-05,
                3.7266401725935817e-06,
                1.9947292459265734e-06,
                3.726639728262097e-06,
                1.1478768122695653e-05,
                2.9023109471452223e-06,
                8.939698434966738e-06,
                9.422442568951678e-07,
                6.962258738701267e-06
            ],
            [
                2.9023123310290063e-06,
                3.2887490653109436e-06,
                2.2603237589542675e-06,
                4.785093924156175e-06,
                3.726640172537657e-06,
                7.889265406567165e-06,
                3.288748281220719e-06,
                2.1444945849006956e-05,
                4.7850933535659155e-06,
                1.2098658277451275e-06
            ],
            [
                1.0129987356375273e-05,
                8.939693106182721e-06,
                4.785096776194573e-06,
                3.726641061085547e-06,
                8.939696300376156e-06,
                6.144174601410037e-06,
                1.67014178576052e-05,
                2.144494328685209e-05,
                5.422218323349895e-06,
                1.670142382681424e-05
            ],
            [
                4.785095635413826e-06,
                4.222834451012227e-06,
                2.9023123310290063e-06,
                4.222832941034507e-06,
                3.288748673295719e-06,
                1.553498124964492e-06,
                2.9023133690425823e-06,
                1.994729008056074e-06,
                2.5612834320214477e-06,
                1.9947306726358406e-06
            ],
            [
                6.1441746018123775e-06,
                2.2603251060985603e-06,
                7.889264466115267e-06,
                1.370956879949281e-06,
                6.96225458885115e-06,
                3.2887490653109436e-06,
                2.902311639073834e-06,
                1.1478770859332632e-05,
                1.3007126911004571e-05,
                1.0129995809597604e-05
            ],
            [
                6.962256249517824e-06,
                7.88926634644516e-06,
                1.1478768123823146e-05,
                6.144173869240119e-06,
                3.72664061671159e-06,
                4.785096776133645e-06,
                1.3007131562845248e-05,
                7.889261644760245e-06,
                8.939697368500698e-06,
                4.2228324377164004e-06
            ],
            [
                3.288749849477628e-06,
                1.6701419853184244e-05,
                2.260324836567261e-06,
                1.3709575336947905e-06,
                4.222834451215781e-06,
                3.2887482811220126e-06,
                5.715004470295662e-07,
                2.561282210701601e-06,
                4.7850967763512445e-06,
                6.962257908753841e-06
            ],
            [
                2.56128282131428e-06,
                8.315280276580819e-07,
                1.994729721482609e-06,
                5.422221555192784e-06,
                3.7266410604686857e-06,
                9.422447061576466e-07,
                1.9947299592407137e-06,
                2.2603245673279107e-06,
                6.144175333155351e-06,
                1.7603425837606927e-06
            ],
            [
                7.88926164421493e-06,
                2.753568124348506e-05,
                6.962256249327861e-06,
                2.2603253756874524e-06,
                6.144176799099397e-06,
                5.422220908481809e-06,
                1.4738981969615573e-05,
                3.7266406167827664e-06,
                1.1478773598329648e-05,
                4.006370650464339e-05
            ],
            [
                1.994729245917502e-06,
                8.939700566435704e-06,
                2.5612831265630198e-06,
                1.6701429801675944e-05,
                3.2887482810801374e-06,
                6.962254589433702e-06,
                1.994730672468935e-06,
                2.5612825159677387e-06,
                8.315277302747361e-07,
                2.561281905293402e-06
            ],
            [
                1.9947306726213275e-06,
                2.1444950959196957e-05,
                1.209865250694483e-06,
                2.90231198483099e-06,
                1.9947292458004866e-06,
                1.994729959019382e-06,
                6.14417533430649e-06,
                1.1478764018305152e-05,
                7.88926070293116e-06,
                3.28874906420424e-06
            ],
            [
                8.939698435340743e-06,
                1.7603432132784448e-06,
                3.2887506332466845e-06,
                2.90231233114251e-06,
                1.0129989770441144e-05,
                2.4300252313904224e-05,
                1.2098662603961589e-06,
                4.785096776303374e-06,
                1.3709567165461505e-06,
                1.14787681240737e-05
            ],
            [
                2.561282210701601e-06,
                1.1478764019787597e-05,
                0.9626731143960903,
                1.6701419848475466e-05,
                1.370957206783032e-06,
                5.422220262555012e-06,
                1.4738978456049602e-05,
                6.144174601588856e-06,
                4.78509563555309e-06,
                7.889260704423598e-06
            ],
            [
                4.785095634565186e-06,
                4.222834954561012e-06,
                1.0129993394314164e-05,
                1.3709576970026324e-06,
                6.144175333837093e-06,
                3.2887506332945414e-06,
                3.288750241410738e-06,
                5.422218323093458e-06,
                8.93969630333567e-06,
                3.7266392840781026e-06
            ],
            [
                9.422447062202052e-07,
                3.726639284050988e-06,
                1.0677028700320085e-06,
                5.422217676654099e-06,
                1.5534973841592143e-06,
                1.3709575336654889e-06,
                2.561282210562998e-06,
                8.315277302059155e-07,
                3.2887494572873306e-06,
                1.0677024881761599e-06
            ],
            [
                0.9998601778592866,
                0.9999251537549052,
                0.9999756997679566,
                0.9940889306293345,
                0.9947798748892088,
                0.9996646498494445,
                0.9975273763207713,
                0.9875683504731517,
                0.9859363705031757,
                0.9998204720980665
            ],
            [
                2.1444953521586782e-05,
                8.315278293687262e-07,
                6.962255419380732e-06,
                3.2887486731641103e-06,
                5.422218969661113e-06,
                4.785094494463623e-06,
                1.0129989762757436e-05,
                2.1444948408275583e-05,
                3.120192251631124e-05,
                2.902311639126627e-06
            ],
            [
                6.962259569484628e-06,
                1.0129988563914856e-05,
                1.1478773596283455e-05,
                4.785093353687772e-06,
                2.144495863411905e-05,
                8.93969310367852e-06,
                2.1444945846588504e-05,
                4.785096205930373e-06,
                1.4738983725406915e-05,
                6.144174601410037e-06
            ],
            [
                0.9971990728703003,
                0.9840936068303507,
                0.9940889316882769,
                0.9840936054891429,
                0.9953904267352304,
                0.999569443012441,
                0.9995121428211894,
                0.8807970654616711,
                0.9986749776591949,
                0.9986749778226404
            ],
            [
                1.9947301970451086e-06,
                1.9947294835866542e-06,
                4.785094494716039e-06,
                1.9947304348703948e-06,
                1.5534975693792215e-06,
                1.7603430034151537e-06,
                1.5534975693488444e-06,
                4.222834954514924e-06,
                8.315277302819205e-07,
                1.2098653950480359e-06
            ],
            [
                3.466326624322211e-07,
                1.994729721469003e-06,
                1.5534979397394734e-06,
                2.9023130228840374e-06,
                5.422217676797111e-06,
                8.315283250305684e-07,
                3.7266379509129646e-06,
                6.475949526003845e-07,
                8.315280276607289e-07,
                5.043472278299047e-07
            ],
            [
                6.962254589528684e-06,
                2.2603253755949437e-06,
                2.561281905376098e-06,
                5.422218969217281e-06,
                8.939693106020111e-06,
                6.9622537593854575e-06,
                6.144173136019732e-06,
                4.7850950647493785e-06,
                3.7266379512518984e-06,
                4.222834954514924e-06
            ],
            [
                1.2098652508347793e-06,
                2.561282821069686e-06,
                4.222832437324657e-06,
                1.5534983101301911e-06,
                2.902313368897403e-06,
                1.0677024881887838e-06,
                1.0129989769722525e-05,
                2.902313368860448e-06,
                1.3007128463873485e-05,
                9.422447062030659e-07
            ],
            [
                6.144176065940129e-06,
                4.222834451254188e-06,
                1.994729721482609e-06,
                7.889265407004852e-06,
                3.7266397278791014e-06,
                1.9947294837154625e-06,
                1.1478773597118638e-05,
                1.1478772229551402e-05,
                6.144176066672166e-06,
                2.561282210590951e-06
            ],
            [
                1.2098658277181688e-06,
                4.22283545795623e-06,
                7.88926540679677e-06,
                3.2887486733420804e-06,
                2.260324567302214e-06,
                1.7603425837494853e-06,
                1.9947304348332037e-06,
                2.9023112930659533e-06,
                3.288748673295719e-06,
                7.889263525261671e-06
            ],
            [
                4.7850939242083995e-06,
                4.785095634460739e-06,
                2.5612825159421147e-06,
                2.4300240728162926e-05,
                3.120191507027519e-05,
                2.902313023063532e-06,
                1.1478769493331685e-05,
                3.72664061681327e-06,
                8.939695237813028e-06,
                5.422221554926484e-06
            ],
            [
                1.4738976698757546e-05,
                4.785095065045315e-06,
                3.726638395493353e-06,
                1.300713311517055e-05,
                1.3709572068422585e-06,
                8.93969630388855e-06,
                1.0129990979215566e-05,
                2.9023133690637e-06,
                1.3007128463352975e-05,
                5.422221555296344e-06
            ],
            [
                0.9997694933395912,
                0.9999417087414205,
                0.9999251537905948,
                0.9993736658198841,
                0.9999756997592687,
                0.9991959140451498,
                0.9999417087414023,
                0.9999417087205725,
                0.9995121428791761,
                0.9999251537816561
            ],
            [
                2.2603251062013478e-06,
                3.2887502411564953e-06,
                2.2603237589779086e-06,
                2.902313023039776e-06,
                2.9023109471689794e-06,
                2.9023133690188264e-06,
                1.3709576971242028e-06,
                2.2603234895053587e-06,
                4.785094494628999e-06,
                1.994729483694599e-06
            ],
            [
                8.93970056668775e-06,
                3.120191508321514e-05,
                3.535624224505904e-05,
                6.605217603921075e-05,
                3.535626332509972e-05,
                2.1444948408977715e-05,
                2.753568781022632e-05,
                7.88925976418034e-06,
                2.4300243615448162e-05,
                4.0063711278232147e-05
            ],
            [
                1.5534975693869924e-06,
                2.9023112931213857e-06,
                7.889265404959923e-06,
                2.561282821239737e-06,
                1.3007130014636887e-05,
                2.9023116390421582e-06,
                1.0677027426088186e-06,
                4.785096776068365e-06,
                3.2887498494551953e-06,
                1.0677033790757595e-06
            ],
            [
                4.222835457852533e-06,
                2.2603234894745224e-06,
                4.222834954514924e-06,
                7.338211554783522e-07,
                1.3007133112662637e-05,
                4.785096205651846e-06,
                2.5612834320470717e-06,
                3.2887502414436403e-06,
                8.939697369004791e-06,
                2.902313022015599e-06
            ],
            [
                3.2887490653109436e-06,
                1.2098659719757836e-06,
                1.0677033791495609e-06,
                2.902311985079115e-06,
                5.422217676925328e-06,
                7.338211554591642e-07,
                4.785094494463623e-06,
                2.5612815999423112e-06,
                5.043473480766399e-07,
                1.3709575337078829e-06
            ],
            [
                8.939695236593446e-06,
                4.785094494672519e-06,
                3.7266379507909478e-06,
                1.9947306726049992e-06,
                1.012998977198894e-05,
                3.288748673295719e-06,
                1.4738983725406915e-05,
                8.939698432202356e-06,
                8.93969417199781e-06,
                7.889259763326495e-06
            ],
            [
                8.93969523573161e-06,
                2.902311293147782e-06,
                8.939694170729447e-06,
                5.422218322565793e-06,
                2.561282515886208e-06,
                2.9023116390104826e-06,
                1.5534973841450852e-06,
                4.7850933535659155e-06,
                3.2887502412970765e-06,
                2.2603242978007868e-06
            ],
            [
                1.9947299591100915e-06,
                7.88925976397226e-06,
                1.473898723508674e-05,
                1.6701423833831836e-05,
                1.4738985482753428e-05,
                1.3007126913820052e-05,
                5.422220908762902e-06,
                1.1478772230198667e-05,
                6.962259569484628e-06,
                5.422217676925328e-06
            ],
            [
                6.962257909007124e-06,
                4.4508489275752546e-07,
                1.2098652508391807e-06,
                3.7266410609940346e-06,
                1.0129993393540266e-05,
                1.3709576971425944e-06,
                2.561281905293402e-06,
                1.3709576971242028e-06,
                1.0677027427569065e-06,
                3.2887490653872164e-06
            ],
            [
                2.3823682478325313e-07,
                2.1024326584505647e-07,
                4.4508510499737865e-07,
                3.2887506333394084e-06,
                1.0677033791583005e-06,
                2.9023130230133794e-06,
                1.3709567165386693e-06,
                9.422448184801556e-07,
                1.637376276909393e-07,
                1.99473067264854e-06
            ],
            [
                2.9023123310580418e-06,
                6.144174600985344e-06,
                4.785093923982095e-06,
                1.1478773594675732e-05,
                2.5612825159677387e-06,
                1.1478773598329648e-05,
                7.88925976283858e-06,
                5.422220908481809e-06,
                2.561283126679493e-06,
                2.2603245668530326e-06
            ],
            [
                2.5612825159421147e-06,
                4.785092783149804e-06,
                3.288750241410738e-06,
                0.9890130584117632,
                2.9023112931873767e-06,
                7.889264465067689e-06,
                1.3007128461838766e-05,
                4.785096205582214e-06,
                1.994729008105057e-06,
                8.939695237504067e-06
            ],
            [
                1.994729245479375e-06,
                1.3709576971242028e-06,
                1.47389819699641e-05,
                1.7603440527046419e-06,
                1.147876538789672e-05,
                7.889266345957247e-06,
                3.7266397283231055e-06,
                1.3007123810306773e-05,
                3.2887482812745586e-06,
                1.4738987235622935e-05
            ],
            [
                5.422217676486429e-06,
                4.4508510498604413e-07,
                6.962253759581752e-06,
                8.939697368305565e-06,
                2.9023112930949896e-06,
                2.2603251061849014e-06,
                1.7603438428660665e-06,
                2.2603242978007868e-06,
                4.222835457664342e-06,
                7.338208929998139e-07
            ],
            [
                1.760343423160973e-06,
                5.422218969769604e-06,
                1.5534971987506078e-06,
                4.222834954607099e-06,
                1.5534984948621528e-06,
                1.5534981249397663e-06,
                6.962259568775433e-06,
                6.144176066353646e-06,
                1.7603427936263351e-06,
                6.14417533430649e-06
            ],
            [
                2.5612816000145246e-06,
                1.0129988564430787e-05,
                1.5534977545603963e-06,
                6.962255419570695e-06,
                1.5534971989568904e-06,
                2.4300243624818735e-05,
                8.939699500489763e-06,
                1.0129990979547237e-05,
                1.7603427936263351e-06,
                1.1478769493728398e-05
            ],
            [
                6.1441767989541075e-06,
                8.939695237341456e-06,
                3.7266401725681614e-06,
                4.785093353687772e-06,
                3.288749849498565e-06,
                3.72664061681327e-06,
                6.962255419804982e-06,
                2.260324836696773e-06,
                6.144173868983067e-06,
                6.962259569117366e-06
            ],
            [
                0.9986749773543329,
                0.9994472214555955,
                0.9982992774842037,
                0.999620015514068,
                0.9998415637452915,
                0.9991959139522719,
                0.9947798730731996,
                0.998498818037467,
                0.9890130549912148,
                0.9990889488728333
            ],
            [
                2.4300243627117176e-05,
                1.0129992185760567e-05,
                4.222832437677995e-06,
                1.1478772229781076e-05,
                5.4222202623972055e-06,
                6.962253759157502e-06,
                3.2887498494282754e-06,
                3.2887486731252264e-06,
                1.3007130014873483e-05,
                1.2098653950656417e-06
            ],
            [
                2.902311639073834e-06,
                7.338207180884785e-07,
                2.2603234893594005e-06,
                1.994729721482609e-06,
                5.422220908634683e-06,
                2.260324297853209e-06,
                2.2603251062147097e-06,
                4.4508526417014975e-07,
                1.9947306725215466e-06,
                4.78509563546605e-06
            ],
            [
                1.9947299592570416e-06,
                3.2887494573561262e-06,
                1.3709575336947905e-06,
                3.288747887521604e-06,
                1.3709578605355551e-06,
                4.7850956352353935e-06,
                9.422444815726566e-07,
                5.422219616140078e-06,
                2.5612812945260317e-06,
                4.2228329408924035e-06
            ],
            [
                3.726639728262097e-06,
                5.422220908876325e-06,
                5.4222183231674305e-06,
                2.2603237589676295e-06,
                1.1478768122987964e-05,
                2.561281294369958e-06,
                1.5534981249496567e-06,
                2.1444943297072005e-05,
                2.2603251049000587e-06,
                6.1441746017453204e-06
            ],
            [
                8.939695236398313e-06,
                2.1444945852673643e-05,
                3.726639727940109e-06,
                3.288750633488963e-06,
                3.726639284017094e-06,
                1.370957370247318e-06,
                1.0129988564099116e-05,
                5.422219615829396e-06,
                4.78509563509613e-06,
                6.962255419279419e-06
            ],
            [
                1.3007130013572209e-05,
                6.144175333926503e-06,
                5.422217676575195e-06,
                8.939693106329072e-06,
                3.7266383943816487e-06,
                1.8925148238808306e-05,
                1.4738988995409548e-05,
                5.422218969217281e-06,
                1.8925141470949294e-05,
                5.1442213614207906e-05
            ],
            [
                1.7603430032918752e-06,
                3.2887486731641103e-06,
                1.9947299592570416e-06,
                1.7603434231241496e-06,
                2.9023109471188266e-06,
                1.0129992185760567e-05,
                2.9023116391675407e-06,
                1.7603427936183298e-06,
                3.7266410609160796e-06,
                1.760344052714248e-06
            ],
            [
                6.144172403592939e-06,
                6.144174601879434e-06,
                6.144172404218801e-06,
                0.996406396644078,
                2.9023130228840374e-06,
                1.3007126912826352e-05,
                2.5612828213352452e-06,
                4.785094494402695e-06,
                1.994729721436347e-06,
                4.2228344508893285e-06
            ],
            [
                2.9023109471188266e-06,
                3.2887482809933958e-06,
                3.7266388397382506e-06,
                2.260323758923431e-06,
                4.222834954057889e-06,
                2.5612819053586272e-06,
                1.012999459934851e-05,
                7.889265406438011e-06,
                2.2603242978007868e-06,
                3.288750633518874e-06
            ],
            [
                4.222833444429485e-06,
                4.785096205582214e-06,
                4.7850927822924614e-06,
                3.726641061027928e-06,
                7.338210679949506e-07,
                6.144172404028807e-06,
                4.222833444429485e-06,
                1.7603427935678977e-06,
                7.889265406904397e-06,
                8.939698435226916e-06
            ],
            [
                6.962255419380732e-06,
                2.561283126679493e-06,
                2.5612816000331606e-06,
                4.7850944937411915e-06,
                6.144172404520556e-06,
                1.7603436330091044e-06,
                3.7266397281434697e-06,
                2.902313023063532e-06,
                6.962254589332388e-06,
                1.2098656835076114e-06
            ],
            [
                4.2228329408924035e-06,
                1.3709576971160984e-06,
                8.315283250371857e-07,
                4.222833444467892e-06,
                2.2603242978213447e-06,
                1.3709578605243332e-06,
                2.9023116389365734e-06,
                1.2098653950403334e-06,
                1.9947304348595095e-06,
                1.994729483705484e-06
            ],
            [
                1.1478772229050293e-05,
                5.043472879291295e-07,
                2.5612831265909735e-06,
                6.475947210031623e-07,
                6.475945665900901e-07,
                6.475947982037486e-07,
                1.760343003481596e-06,
                1.067703379154416e-06,
                2.2603251062147097e-06,
                1.9947290081177566e-06
            ],
            [
                4.785094494019719e-06,
                3.72664061671159e-06,
                4.7850950648799385e-06,
                1.0129990978441666e-05,
                1.670142383015595e-05,
                9.422443691893433e-07,
                5.422218968595919e-06,
                1.1478769491306371e-05,
                3.288749065209246e-06,
                5.422219615395428e-06
            ],
            [
                1.7603430034743913e-06,
                1.9947292458603553e-06,
                4.222831934286977e-06,
                3.2887498494282754e-06,
                1.6701427815999337e-05,
                4.222833444429485e-06,
                8.93969310675186e-06,
                3.120190761845198e-05,
                4.222833444383398e-06,
                1.9947292458603553e-06
            ],
            [
                1.370956716529941e-06,
                1.0677026154551157e-06,
                1.760344052693435e-06,
                2.260324028331257e-06,
                1.5534981248528732e-06,
                2.2603242977308917e-06,
                2.2603248366762157e-06,
                3.2887498494551953e-06,
                7.338211554531576e-07,
                1.7603440527046419e-06
            ],
            [
                2.561283126639892e-06,
                1.994729007936337e-06,
                2.902310947190096e-06,
                1.4738987238035806e-05,
                7.889266344321303e-06,
                5.422221555192784e-06,
                4.222834954403545e-06,
                6.144172404302622e-06,
                5.422217676925328e-06,
                7.889266346129453e-06
            ],
            [
                1.5534984952111384e-06,
                2.260324836696773e-06,
                4.785096205882502e-06,
                3.2887490653109436e-06,
                4.222833947674739e-06,
                7.88926164518358e-06,
                2.2603237589028734e-06,
                2.2603240282243575e-06,
                2.9023123310290063e-06,
                1.5534983100595462e-06
            ],
            [
                3.2887506333812835e-06,
                1.0129988563730593e-05,
                2.561282515914161e-06,
                1.5534973841592143e-06,
                4.2228319339950885e-06,
                3.726637951170554e-06,
                6.962255419570695e-06,
                1.9947292457750883e-06,
                1.5534977545603963e-06,
                3.726639728262097e-06
            ],
            [
                6.144176799099397e-06,
                1.5534983101549167e-06,
                1.67014178590634e-05,
                3.726641060658489e-06,
                4.2228349546493465e-06,
                3.2887482811908074e-06,
                2.9023130230846496e-06,
                1.0129988563343644e-05,
                6.144174601309452e-06,
                1.0129989771473008e-05
            ],
            [
                1.9947304348332037e-06,
                2.6995790618350237e-07,
                1.0677033791583005e-06,
                2.561282210590951e-06,
                6.475947981389606e-07,
                2.902311985079115e-06,
                1.2098653950606901e-06,
                1.3709578605542582e-06,
                7.338212428599848e-07,
                6.475947209826952e-07
            ],
            [
                3.288750633139005e-06,
                1.2098653950551882e-06,
                3.288750241374845e-06,
                1.7603434230921292e-06,
                5.4222215550004564e-06,
                4.785096204972935e-06,
                4.7850944943330625e-06,
                2.902312677104321e-06,
                6.144174601499446e-06,
                8.93969417150998e-06
            ],
            [
                1.0677024881829577e-06,
                1.760343842833246e-06,
                1.5534983101393749e-06,
                9.422448185264317e-07,
                1.0677027427471959e-06,
                1.370957533676711e-06,
                1.0677029973114952e-06,
                1.0677027427525368e-06,
                5.043474683220276e-07,
                1.5534971989907999e-06
            ],
            [
                4.22283344433731e-06,
                7.889260703906985e-06,
                5.422219615582823e-06,
                1.3007126912258525e-05,
                2.5612831262578596e-06,
                6.144175334015912e-06,
                3.120191508060445e-05,
                1.5534975693792215e-06,
                8.939694172420599e-06,
                1.892514598427789e-05
            ],
            [
                6.1441760661636525e-06,
                8.93969417214416e-06,
                5.043474683009273e-07,
                1.0677032518316716e-06,
                2.2603251062147097e-06,
                4.785093923768848e-06,
                4.7850927830148924e-06,
                1.1478769491306371e-05,
                6.962254589617333e-06,
                2.9023112930659533e-06
            ],
            [
                2.2603248366762157e-06,
                6.475951069896949e-07,
                5.715006514167015e-07,
                6.962254589104433e-06,
                2.902310947208574e-06,
                4.785096205582214e-06,
                6.144176799166453e-06,
                3.288749065029781e-06,
                6.962257079275089e-06,
                4.2228349546493465e-06
            ],
            [
                2.1024329090867228e-07,
                1.7603436330091044e-06,
                1.760344052714248e-06,
                1.5534983101061718e-06,
                1.0677029973158649e-06,
                1.3709572068179446e-06,
                1.370957533676711e-06,
                3.466325797888292e-07,
                9.422444815765128e-07,
                1.855391681898159e-07
            ],
            [
                2.902313023063532e-06,
                2.7535700936100516e-05,
                1.7603434230312906e-06,
                9.422442568951678e-07,
                6.144175333926503e-06,
                4.2228349546493465e-06,
                5.422219616085833e-06,
                8.939698433145498e-06,
                7.88926634687567e-06,
                2.2603248367358324e-06
            ],
            [
                3.2887482811908074e-06,
                1.2098655392574583e-06,
                1.7603438428660665e-06,
                8.93969417167259e-06,
                4.2228334445658276e-06,
                8.939699500896292e-06,
                6.962259569117366e-06,
                2.902313023101807e-06,
                4.2228334445370225e-06,
                3.2887502415243994e-06
            ],
            [
                0.9399133546649715,
                0.00010889693483960863,
                1.9947290081177566e-06,
                0.00013982204026107567,
                3.5356254925134237e-05,
                6.962253759581752e-06,
                0.8519527982093666,
                4.785093351568349e-06,
                1.30071253611406e-05,
                3.120191880504111e-05
            ],
            [
                1.2098652507120887e-06,
                6.475946438022905e-07,
                3.466325384532298e-07,
                9.422444815792981e-07,
                6.47594952595231e-07,
                1.3709578605617394e-06,
                1.7603425837606927e-06,
                1.2098652508144226e-06,
                1.3709570434122812e-06,
                6.475951069985296e-07
            ],
            [
                3.2887498494551953e-06,
                4.2228339475595195e-06,
                6.144173868178388e-06,
                5.422217030121119e-06,
                6.144173869240119e-06,
                6.962254589332388e-06,
                6.962257079173776e-06,
                2.1444956064317223e-05,
                2.9023126769050284e-06,
                5.422217676925328e-06
            ],
            [
                2.902310947208574e-06,
                1.760343632920248e-06,
                2.9023126768680736e-06,
                2.260325375677174e-06,
                1.7603425837702984e-06,
                0.9796676461379141,
                2.5612825160562587e-06,
                6.475947209953583e-07,
                2.9023116390421582e-06,
                1.7603427936183298e-06
            ],
            [
                1.5534983101393749e-06,
                6.144176065012512e-06,
                3.2887478890769702e-06,
                2.5612815999423112e-06,
                5.422217676797111e-06,
                2.902313023039776e-06,
                1.0677032518578904e-06,
                2.561281905293402e-06,
                6.962253759670401e-06,
                2.9023123311055552e-06
            ],
            [
                6.962255418367598e-06,
                4.785096205830278e-06,
                8.939695238089467e-06,
                6.475949526020042e-07,
                1.7603430033399058e-06,
                2.2603242978007868e-06,
                5.4222202624563834e-06,
                4.222835458044565e-06,
                4.22283294098842e-06,
                6.144173136729416e-06
            ]
        ]
    },
    {
        "q_id": "10618_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999989322967482,
                0.9999986290424664,
                0.9999987901341723,
                0.9999996072137529,
                0.9999974387168732,
                0.9999957771665555,
                0.9999991684720715,
                0.9999989322975118,
                0.9999921107383558,
                0.9999980052707541
            ],
            [
                0.999999057755743,
                0.9999930377445806,
                0.9999957771655488,
                0.9999977396759716,
                0.9999984465026158,
                0.9999546021097193,
                0.9999974387180947,
                0.9999852610127599,
                0.999998790134028,
                0.9999984465016898
            ],
            [
                0.9998415637075534,
                0.9999546021313821,
                0.9998766054251933,
                0.9998601778759504,
                0.9990889486520049,
                0.9997388096598381,
                0.9996200155172518,
                0.999820472055611,
                0.9988304897218895,
                0.9999852610197867
            ],
            [
                0.9999962733593832,
                0.9999910603026306,
                0.9999970976873228,
                0.9999984465026158,
                0.99998987000419,
                0.9999898700102282,
                0.9999989322966208,
                0.9999967112505427,
                0.9999687980886309,
                0.9999986290427932
            ],
            [
                0.9999974387180947,
                0.9999898700053984,
                0.9999869928730862,
                0.9999987901337396,
                0.9999957771670589,
                0.9999945777816769,
                0.9999992661790195,
                0.9999995549147889,
                0.9999977396748938,
                0.999998446502801
            ],
            [
                0.9999599362887123,
                0.9999339478317237,
                0.9999810748427385,
                0.9999898700102283,
                0.9997388095977412,
                0.9999785550515867,
                0.9994472214512541,
                0.9999599362982653,
                0.9324533126145179,
                0.9999990577551815
            ],
            [
                0.9999646437450763,
                0.9999251537638318,
                0.9999810748427408,
                0.9999546021151283,
                0.9997388095979464,
                0.9986749775330293,
                0.9999724643154663,
                0.999664649849669,
                0.9995121428838878,
                0.9999785550439207
            ],
            [
                0.9999910603047624,
                0.9999832985701931,
                0.9999977396757022,
                0.999996711249759,
                0.9999984465015047,
                0.9999984465026158,
                0.9999970976887068,
                0.9999984465026158,
                0.9999952149072167,
                0.9999957771645418
            ],
            [
                0.9999982396574163,
                0.9999962733593831,
                0.9999945777790911,
                0.9999921107374147,
                0.9999930377445808,
                0.9999974387187053,
                0.999995214904935,
                0.9999982396574163,
                0.9999957771660523,
                0.9999967112505425
            ],
            [
                0.9999970976866309,
                0.9999970976883609,
                0.9999986290427931,
                0.9999970976890528,
                0.9999945777810302,
                0.9999984465024306,
                0.9999970976887068,
                0.9999910603005027,
                0.9999921107374145,
                0.9999986290431201
            ],
            [
                0.9999885212264009,
                0.9999952149055052,
                0.9999994284993486,
                0.9999989322968754,
                0.9999945777829695,
                0.9999987901343165,
                0.9999980052700408,
                0.9999991684720715,
                0.9999952149072165,
                0.9999986290424663
            ],
            [
                0.9999756997621669,
                0.9999885212305086,
                0.9999967112501507,
                0.9999938558246657,
                0.9999910603058275,
                0.9999970976887068,
                0.9999970976883609,
                0.9999869928684372,
                0.9999952149072165,
                0.9999910603004993
            ],
            [
                0.9999990577556307,
                0.9999989322972572,
                0.9999962733589389,
                0.9999952149060758,
                0.9999974387177893,
                0.9999952149055054,
                0.9999938558232009,
                0.9999938558239333,
                0.9999984465024306,
                0.9999962733589389
            ],
            [
                0.9940889314091759,
                0.9999151889586319,
                9.610246069662382e-05,
                0.9996646500092494,
                0.9995694430119024,
                0.9988304899946848,
                0.9990889486507865,
                0.00020342702084582992,
                0.9992903297036013,
                0.999290329702363
            ],
            [
                0.9999987901338838,
                0.9999986290432835,
                0.9999977396765106,
                0.9999982396569966,
                0.9999970976883608,
                0.999997097688361,
                0.9999984465018751,
                0.9999986290421395,
                0.9999989322975118,
                0.9999957771650455
            ],
            [
                0.999996273358939,
                0.9999980052693274,
                0.9999982396569966,
                0.999995214904935,
                0.9999970976883608,
                0.9999869928761882,
                0.9999945777790913,
                0.999997097686977,
                0.9999852610215424,
                0.9999945777823231
            ],
            [
                0.9999967112497585,
                0.9999945777810302,
                0.9999785550541426,
                0.9999987901341723,
                0.9999930377445804,
                0.9999962733616045,
                0.9999885212264013,
                0.9999982396574162,
                0.9999546021097124,
                0.9999962733607158
            ],
            [
                0.9999952149032236,
                0.9999869928699859,
                0.9999952149055052,
                0.9999417087553203,
                0.9999921107355335,
                0.9999980052693274,
                0.9999898700066057,
                0.9999546021421996,
                0.9999930377462402,
                0.9999930377462404
            ],
            [
                0.9999687980737492,
                0.9999974387168733,
                0.9999962733620487,
                0.9999970976869769,
                0.9999885212359798,
                0.9999869928668843,
                0.9999989322967481,
                0.9999921107383553,
                0.9999785550464785,
                0.9999945777810304
            ],
            [
                0.9999977396748938,
                0.9999967112505427,
                0.9999921107392955,
                0.999996273360716,
                0.9999982396574162,
                0.9999967112493665,
                0.9999957771665555,
                0.9999938558232009,
                0.9999810748562717,
                0.9999970976876689
            ],
            [
                0.999999352405279,
                0.9999984465024306,
                0.9999982396559474,
                0.9999962733593831,
                0.9999977396759717,
                0.999999168471675,
                0.9999977396754327,
                0.9999989322972573,
                0.9999994284996211,
                0.999999694097846
            ],
            [
                0.9999885212291378,
                0.9999984465026158,
                0.9999869928699849,
                0.9999832985701935,
                0.9999938558232008,
                0.999992110740236,
                0.9999869928699853,
                0.9999945777829696,
                0.9999038975621907,
                0.9999869928699856
            ],
            [
                0.9999974387168733,
                0.9999990577551814,
                0.9999989322966208,
                0.9999945777823231,
                0.9999967112521108,
                0.9999967112509347,
                0.9999945777790913,
                0.9999921107383553,
                0.9999756997650613,
                0.9999970976876689
            ],
            [
                0.9999687980737675,
                0.9999724643089045,
                0.999820471991165,
                0.9992903296200941,
                0.9999885212264044,
                0.9999832985821377,
                0.9999756997476794,
                0.9999852610197877,
                0.9997965730509494,
                0.9999687980960685
            ],
            [
                0.9999984465022455,
                0.9999967112517189,
                0.9999957771645418,
                0.9999970976873228,
                0.9999970976887069,
                0.9999910603047617,
                0.9999974387180945,
                0.9999967112497585,
                0.9999980052698029,
                0.9999980052705163
            ],
            [
                0.9999945777810304,
                0.9999898700126433,
                0.9999952149072165,
                0.9999945777810304,
                0.9999869928715369,
                0.9999938558275957,
                0.9999957771670593,
                0.9999938558232008,
                0.9999938558224682,
                0.9999869928653341
            ],
            [
                0.9999646437535039,
                0.9997965730995557,
                0.9995694429620762,
                0.9996200154692297,
                0.9999599362982582,
                0.9999967112509346,
                0.9994472212552823,
                0.9998601779762012,
                0.9999869928746369,
                0.9999646437619449
            ],
            [
                0.9999852610197869,
                0.9997388097837732,
                0.9999957771650453,
                0.9999885212359795,
                0.9999921107383557,
                0.9999957771670593,
                0.9999910603026303,
                0.9999982396569966,
                0.999989870010228,
                0.9999967112513268
            ],
            [
                0.9999930377445809,
                0.9999957771665555,
                0.9999952149037954,
                0.9999251537370999,
                0.9999151889687629,
                0.9999724642990531,
                0.999978555043919,
                0.9999945777797392,
                0.9999930377404305,
                0.9999967112493664
            ],
            [
                0.9999952149043645,
                0.9999485577618208,
                0.9999938558275955,
                0.9999974387187053,
                0.9999952149055052,
                0.9999945777784452,
                0.9999984465026158,
                0.9999962733589389,
                0.999994577782323,
                0.9999930377420908
            ],
            [
                0.9999869928746369,
                0.9999339478711182,
                0.9999687980886276,
                0.9999898700066052,
                0.999978555049031,
                0.9999869928715369,
                0.999981074858529,
                0.9999974387165681,
                0.9999546021259464,
                0.9999910603004999
            ],
            [
                0.9999898700078128,
                0.9999898700041902,
                0.9999986290423029,
                0.9999898700041907,
                0.9999982396569965,
                0.9999930377412606,
                0.9999938558261312,
                0.9999980052700408,
                0.9999885212291383,
                0.9999957771665554
            ],
            [
                0.9999986290426297,
                0.9999921107383551,
                0.9999921107383557,
                0.9999930377429205,
                0.9999756997563752,
                0.9999785550592561,
                0.9999982396563669,
                0.9999910603036963,
                0.9999974387184,
                0.9999957771680658
            ],
            [
                0.9999852610145146,
                0.999995777166052,
                0.9999885212277693,
                0.9999930377420906,
                0.9999945777790913,
                0.9999974387171787,
                0.9999756997563729,
                0.9999869928715361,
                0.9999952149072167,
                0.9999599362934897
            ],
            [
                0.9999852610127575,
                0.9998601779426032,
                0.9999251537638029,
                8.481104091280437e-05,
                0.9999952149060757,
                9.610240325001802e-05,
                0.999998629042303,
                0.9999724643154663,
                0.9999599363078219,
                0.999903897539223
            ],
            [
                0.9999990577555185,
                0.9999938558275955,
                0.9999987901337396,
                0.9999987901343165,
                0.9999982396567867,
                0.9999980052700408,
                0.9999984465026158,
                0.9999989322971299,
                0.9999984465015047,
                0.9999957771655488
            ],
            [
                0.9999938558224685,
                0.9999921107392954,
                0.9999967112513267,
                0.9999952149043645,
                0.9999910603026304,
                0.9999984465022455,
                0.9999921107345929,
                0.9999984465026158,
                0.9999962733611603,
                0.9999952149043646
            ],
            [
                0.9999852610215495,
                0.9999885212359801,
                0.9999938558261309,
                0.9999977396746244,
                0.999994577780384,
                0.9999957771660523,
                0.999985261018029,
                0.9999967112493665,
                0.9999910603047621,
                0.9999898700114358
            ],
            [
                0.9999977396748938,
                0.9999991684719723,
                0.9999984465018751,
                0.9999986290429566,
                0.9999986290432835,
                0.9999982396563669,
                0.9999938558246658,
                0.9999967112509349,
                0.9999885212277698,
                0.9999962733598275
            ],
            [
                0.9999987901343165,
                0.999999057755743,
                0.9999990577554061,
                0.9999980052700407,
                0.9999990577555185,
                0.9999993524052019,
                0.9999990577555183,
                0.99999862904312,
                0.9999952149066462,
                0.9999987901343165
            ],
            [
                0.9999982396569965,
                0.9999967112513267,
                0.9999984465020603,
                0.9999977396748938,
                0.9999898700126435,
                0.9999977396762411,
                0.999998239656367,
                0.9999967112493665,
                0.9999930377437504,
                0.9999938558224685
            ],
            [
                0.9999982396574163,
                0.9999986290424663,
                0.9999938558261307,
                0.9999977396748938,
                0.9999930377462405,
                0.9999957771670589,
                0.9999982396563669,
                0.9999970976873229,
                0.9999967112517187,
                0.9999938558232012
            ],
            [
                0.9999977396765105,
                0.999998005269803,
                0.9999986290432834,
                0.9999977396759716,
                0.9999945777829694,
                0.9999910603047634,
                0.9999952149066462,
                0.9999930377445805,
                0.9999962733620489,
                0.9999898700066056
            ],
            [
                0.9999952149055054,
                0.9999977396759716,
                0.9999952149066462,
                0.999999495652652,
                0.9999970976880149,
                0.9999980052700407,
                0.9999852610232993,
                0.9999967112509347,
                0.9999977396759716,
                0.9999852610110029
            ],
            [
                0.9999921107355344,
                0.9999957771670589,
                0.9999982396559474,
                0.9999984465022455,
                0.999998005269803,
                0.9999852610110009,
                0.9999967112521106,
                0.9999982396563669,
                0.9999982396561571,
                0.9999945777829695
            ],
            [
                0.9999151889889872,
                0.9999852610233005,
                0.9999921107383548,
                0.9999810748517602,
                0.9999869928668841,
                0.999989870004192,
                0.9999910602994339,
                0.9999945777829694,
                0.9999785550490304,
                0.9999930377404305
            ],
            [
                0.9669140198236428,
                0.9999038975964927,
                0.9999485577740872,
                0.9999687980997889,
                0.9999546021259464,
                0.9999485577863392,
                0.9999852610180282,
                0.9999546021259557,
                0.9999599363078182,
                0.9999546021097124
            ],
            [
                0.9999982396567867,
                0.9999938558253981,
                0.9999952149066464,
                0.9999930377412607,
                0.9999970976887068,
                0.9999945777790911,
                0.9999995549150011,
                0.9999898700078133,
                0.9999869928730863,
                0.9999930377462403
            ],
            [
                0.9971990725574987,
                0.0001584362915683428,
                0.9971990732097646,
                0.9998911030388452,
                0.9706877660157724,
                0.998830489860871,
                0.9968273167517837,
                0.9947798733198481,
                0.9995121429378442,
                0.9997694932298365
            ],
            [
                0.9999982396563669,
                0.9997040430067387,
                0.9999982396567867,
                0.9999980052693274,
                0.9999970976869769,
                0.9999952149032237,
                0.9999982396563669,
                0.9999987901347491,
                0.9999984465022455,
                0.9999984465020603
            ],
            [
                0.9999977396751633,
                0.9999724643089045,
                0.9999957771655488,
                0.9999980052693274,
                0.999999266178932,
                0.999997097686977,
                0.99998987000419,
                0.9999938558261304,
                0.9999938558275954,
                0.999993855823201
            ],
            [
                0.9999945777784451,
                0.9999974387180947,
                0.9999957771675623,
                0.99999457778297,
                0.9999967112497585,
                0.9999977396751633,
                0.9999982396574163,
                0.9999967112509347,
                0.9999945777797377,
                0.9999982396569966
            ],
            [
                0.9999980052707541,
                0.9999962733593833,
                0.9999967112501505,
                0.9999952149055054,
                0.9999980052695652,
                0.9999984465024306,
                0.9999930377462402,
                0.9999967112505425,
                0.9999938558232008,
                0.9999957771675625
            ],
            [
                0.9999687980923503,
                0.9999852610197877,
                0.9999974387168733,
                0.9999251537906008,
                0.9999810748517594,
                0.9998911031168067,
                0.9999938558275953,
                0.9999977396746244,
                0.9999724643187485,
                0.9999930377420906
            ],
            [
                0.999998239656367,
                0.9999977396754327,
                0.9999974387171787,
                0.9999921107355341,
                0.9999945777797374,
                0.9999957771680656,
                0.9999991684718732,
                0.9999957771665555,
                0.9999930377462403,
                0.9999962733616045
            ],
            [
                0.9999957771655488,
                0.9999898700041905,
                0.9999930377404309,
                0.9999599363030465,
                0.999975699756372,
                0.9999038975850102,
                0.9999945777816772,
                0.9999957771670588,
                0.9999151889788636,
                0.9999898700114359
            ],
            [
                0.9999930377462406,
                0.9999921107392953,
                0.9999832985821377,
                0.999993855826863,
                0.9999898700126439,
                0.9999962733607158,
                0.9999921107345934,
                0.999959936288716,
                0.9999938558261305,
                0.9999898700053976
            ],
            [
                0.9999724643121898,
                0.9999994284993486,
                0.9999991684715758,
                0.999978555051593,
                0.9999869928715353,
                0.9999251537638694,
                0.9999910603058276,
                0.9999980052700407,
                0.9999898700126431,
                0.999993855823201
            ],
            [
                0.9525741222784364,
                0.9902915229096578,
                0.9964063973793963,
                0.9579122681794381,
                0.9525741315347258,
                0.9975273766371991,
                0.993307147499982,
                0.9796676475848896,
                0.9890130572277274,
                0.9947798752833625
            ],
            [
                0.999997438717484,
                0.9999962733616045,
                0.9999957771675623,
                0.9999930377429204,
                0.9999957771665555,
                0.9999986290427932,
                0.9999869928668845,
                0.9999599363173656,
                0.9999869928746368,
                0.9999898700114359
            ],
            [
                0.9999977396746244,
                0.9999986290432834,
                0.9999989322975118,
                0.9999921107402359,
                0.9999974387184,
                0.9999995549147358,
                0.9999991684721706,
                0.9999991684716749,
                0.9999980052695653,
                0.9999991684716749
            ],
            [
                0.9999967112505427,
                0.9999852610127634,
                0.9999785550567081,
                0.9999810748427375,
                0.9995694428595177,
                0.999975699762164,
                0.9997694932299439,
                0.9999898700041905,
                0.9999910603004992,
                0.9999417087205921
            ],
            [
                7.484620045964068e-05,
                0.003172682601697397,
                6.962257909412379e-06,
                0.9984988178547675,
                1.4738983727900215e-05,
                5.144223202241074e-05,
                0.9998766054251126,
                8.939695237813028e-06,
                5.829129329974581e-05,
                0.9995121428206216
            ],
            [
                0.9996200155151292,
                0.9992903296156773,
                0.998073265094222,
                0.9999485577863536,
                0.9994472214528941,
                0.999860177892553,
                0.9997694932572485,
                0.9996200155601113,
                0.9984988177055714,
                0.9998601779759694
            ],
            [
                0.9999994956524716,
                0.999995777166052,
                0.9999962733620487,
                0.9999987901341723,
                0.9999938558224687,
                0.9999987901337396,
                0.9999987901338838,
                0.9999945777829696,
                0.9999987901347491,
                0.9999982396569966
            ],
            [
                0.9999898700078126,
                0.9999885212346119,
                0.9999724642990556,
                0.9999962733611601,
                0.9999885212277704,
                0.999975699753477,
                0.9999810748585286,
                0.9999810748449939,
                0.9999852610215433,
                0.9998601779760303
            ],
            [
                0.9999984465026158,
                0.9999982396572064,
                0.9999990577554061,
                0.9999995549151072,
                0.9999974387174841,
                0.999997438716568,
                0.9999987901344607,
                0.9999967112521109,
                0.9999991684719723,
                0.9999977396748938
            ],
            [
                0.9999599363078128,
                0.999925153745984,
                0.9999339478632058,
                0.9999967112501504,
                0.9999930377429206,
                0.9999930377445806,
                0.9999646437450763,
                0.9999756997534747,
                0.9999485577802218,
                0.9999991684719723
            ],
            [
                0.9999945777816768,
                0.9999938558246683,
                0.9999938558239336,
                0.9999921107364742,
                0.9999952149055054,
                0.9999957771650453,
                0.9999921107383561,
                0.999997097687669,
                0.999985261014516,
                0.999993855826131
            ],
            [
                0.9999485577802313,
                0.9999993524052018,
                0.999999266179107,
                0.999998790134028,
                0.9999938558246662,
                0.9999990577550691,
                0.9999852610145155,
                0.9999990577550693,
                0.9999987901343165,
                0.9999987901344607
            ],
            [
                6.605214466242357e-05,
                0.00012339456018127515,
                0.9964063978771116,
                0.00023050679713930062,
                6.605212890195146e-05,
                2.9023116391675407e-06,
                0.9971990725724559,
                0.00013982214073372746,
                0.9980732652961521,
                0.997817283291473
            ],
            [
                0.9999952149055054,
                0.9999952149060763,
                0.9998911030777682,
                0.9999832985701935,
                0.9999921107345932,
                0.9999724643023389,
                0.9999967112501505,
                0.9999930377404304,
                0.9999852610127582,
                0.9998911030907721
            ],
            [
                0.9999974387184,
                0.9999930377404307,
                0.9999945777810304,
                0.999998446502801,
                0.9999970976887068,
                0.9999962733589389,
                0.9999984465028011,
                0.9999921107355335,
                0.9999957771670588,
                0.9999980052698029
            ],
            [
                0.9999977396762411,
                0.9999962733607161,
                0.9999984465018751,
                0.9999938558232009,
                0.9999987901341723,
                0.9999952149049348,
                0.9999991684722697,
                0.9999974387180947,
                0.9999957771675625,
                0.9999945777816768
            ],
            [
                0.999998005269803,
                0.9999930377454104,
                0.9999957771660521,
                0.9999984465024306,
                0.9999852610233009,
                0.999995214904935,
                0.999988521233243,
                0.9999930377462405,
                0.9999687980960674,
                0.9999599363221447
            ],
            [
                0.9998415637641964,
                0.9999417087553318,
                0.9999599363221524,
                0.9998204720553105,
                0.9999417087414523,
                0.9997694932850896,
                0.9997388095663394,
                0.9997965730993071,
                0.9999646437450808,
                0.9999251537905833
            ],
            [
                0.9999977396751633,
                0.999992110734593,
                0.999998005269803,
                0.9999967112521109,
                0.9999898700114362,
                0.9999785550439195,
                0.9999991684719723,
                0.9999852610233012,
                0.9999687980737538,
                0.999989870006605
            ],
            [
                0.9999852610127585,
                0.9999810748495038,
                0.9999898700053983,
                0.999991060306893,
                0.9999869928761891,
                0.9999930377437504,
                0.9999756997592666,
                0.9999910603004989,
                0.9999962733620487,
                0.9999957771650453
            ],
            [
                0.9999995549150011,
                0.999991060305828,
                0.9999989322970027,
                0.9999984465026158,
                0.9999885212277702,
                0.9999970976887068,
                0.9999991684719725,
                0.9999993524054335,
                0.9999977396751633,
                0.9999952149060757
            ],
            [
                0.999995777166052,
                0.9999991684719725,
                0.9999938558261307,
                0.9999921107402358,
                0.9999962733616046,
                0.9999992661788445,
                0.9999986290431201,
                0.9999980052693274,
                0.9999987901341723,
                0.999998239656367
            ],
            [
                0.9999967112497584,
                0.9999546021259557,
                0.9997694931747446,
                0.9999974387184003,
                0.9988304899156748,
                0.9999339478553472,
                0.9995121428216435,
                0.8519528019683106,
                0.00023050679563691373,
                0.9999921107355337
            ],
            [
                0.9999977396759716,
                0.9999910602994333,
                0.9999989322975118,
                0.9999938558246657,
                0.9999974387168733,
                0.9999967112509347,
                0.9999962733620487,
                0.9999995549151072,
                0.999978555043919,
                0.9999938558268633
            ],
            [
                0.9999546021367783,
                0.9995694429096946,
                0.9999724643089007,
                0.9999646437366535,
                0.9999038975965325,
                0.9999756997505803,
                0.9999724643187469,
                0.9980732649028139,
                0.9999885212277693,
                0.9999785550490304
            ],
            [
                0.9999987901347491,
                0.9999984465022455,
                0.9999980052702785,
                0.9999986290429566,
                0.9999986290426297,
                0.9999970976890528,
                0.9999986290432835,
                0.9999974387180947,
                0.9999989322970027,
                0.9999991684718732
            ],
            [
                0.9999977396762411,
                0.9999898700078128,
                0.9999898700078131,
                0.9999869928730869,
                0.9999930377420905,
                0.9999938558224687,
                0.9999962733593833,
                0.999992110740236,
                0.9999962733593831,
                0.9999962733611601
            ],
            [
                0.9999970976876689,
                0.999997438716568,
                0.9999977396757022,
                0.9999938558224688,
                0.9999989322967482,
                0.9999984465022455,
                0.9999982396561572,
                0.9999990577557432,
                0.9999957771665557,
                0.9999982396565769
            ],
            [
                0.9999974387171787,
                0.9999952149032236,
                0.9999938558275957,
                0.9999980052695652,
                0.9999984465016899,
                0.9999957771650453,
                0.99999862904312,
                0.9999967112513267,
                0.9999952149072165,
                0.999998790134028
            ],
            [
                0.9999982396561572,
                0.9999987901347491,
                0.9999977396765105,
                0.9999987901344607,
                0.9999987901341723,
                0.9999989322968754,
                0.9999970976887068,
                0.9999989322972572,
                0.9999984465026158,
                0.99999893229713
            ],
            [
                0.9996200154248226,
                0.9980732651101168,
                0.9980732651101168,
                3.120191509059319e-05,
                0.999860177892553,
                0.9995694429090684,
                0.00023050674046444476,
                0.0003799845158020707,
                0.00017952805100596386,
                0.9991959142438132
            ],
            [
                0.9999986290432834,
                0.9999990577549568,
                0.9999962733593831,
                0.9999977396765105,
                0.99999862904312,
                0.9999967112513267,
                0.9999930377437507,
                0.9999994284994168,
                0.9999962733602719,
                0.9999885212264018
            ],
            [
                0.999995214906076,
                0.9999962733620487,
                0.9999991684718732,
                0.9999991684721706,
                0.9999962733593835,
                0.9999957771665554,
                0.9999980052695652,
                0.9999994284994849,
                0.9999992661788446,
                0.9999980052693274
            ],
            [
                0.9990889489864794,
                0.9999646437408634,
                0.99994170874144,
                0.9999898700090211,
                0.9993736658216329,
                0.9989677690391127,
                0.9980732657770234,
                0.9996200155603212,
                0.9975273765843654,
                0.9980732653015251
            ],
            [
                0.9990889486690121,
                0.9999687980997901,
                0.9999952149037942,
                0.9999977396754327,
                0.9999646437535097,
                0.9999986290424664,
                0.9999599362934934,
                0.999972464312183,
                0.9999962733611603,
                0.9996200155147755
            ],
            [
                0.9999984465015047,
                0.9999982396569965,
                0.9999994956524114,
                0.9999885212346119,
                0.9999984465026158,
                0.999998446502801,
                0.9999967112493665,
                0.9999980052705163,
                0.999998005269803,
                0.9999930377445804
            ],
            [
                0.9999930377429203,
                0.999992110734593,
                0.9999938558246659,
                0.9999938558253981,
                0.999989870011436,
                0.9999945777823229,
                0.9999785550592607,
                0.9999952149072169,
                0.99998329858413,
                0.9999945777810304
            ],
            [
                0.9999339478553472,
                0.9992903296203418,
                0.9999756997621738,
                0.99994855779862,
                0.9998911031037379,
                0.9998911031038139,
                0.9999599362934992,
                0.9989677690467954,
                0.999941708713625,
                0.9998415637648695
            ],
            [
                0.9999251537370814,
                0.9999921107374146,
                0.9999852610232991,
                0.999964643732439,
                0.9999785550439179,
                0.9999967112505425,
                0.9999885212264009,
                0.9999977396748938,
                0.9999945777790911,
                0.999994577779738
            ],
            [
                0.9999989322967481,
                0.999954602125951,
                0.9999785550541448,
                0.9999810748495044,
                0.9999970976890528,
                0.999993855825398,
                0.9999485577863566,
                0.999991060306893,
                0.9999869928761884,
                0.9999599363173692
            ],
            [
                0.9999990577554061,
                0.999998239656367,
                0.9999898700041898,
                0.999996273358939,
                0.999999352405279,
                0.999998446502801,
                0.9999989322972572,
                0.9999945777803839,
                0.9999989322973845,
                0.9999980052707541
            ],
            [
                0.9999980052709919,
                0.9999967112509347,
                0.9999984465024306,
                0.9999898700041902,
                0.9999994284996893,
                0.9999962733598275,
                0.9999994284994849,
                0.9999852610215433,
                0.9998911031296585,
                0.9999980052693274
            ],
            [
                0.9999982396572064,
                0.9999986290432835,
                0.9999989322968754,
                0.9999832985761654,
                0.9999990577552939,
                0.9999977396759716,
                0.9999996533673375,
                0.9999910603026303,
                0.9999992661788446,
                0.9999991684718732
            ],
            [
                0.999975699756372,
                0.9999982396569966,
                0.9999970976887068,
                0.9999852610232993,
                0.9999810748427385,
                0.9999970976887068,
                0.9999945777816768,
                0.9999885212332451,
                0.9999930377445804,
                0.999995777166052
            ],
            [
                0.9999151889485539,
                0.9999151889586319,
                0.9999930377429205,
                0.9999339478238272,
                0.9999251537727715,
                0.9999038975850787,
                0.9999339478631961,
                0.9996646499301226,
                0.9999251537905887,
                0.9999646437366474
            ],
            [
                0.9999977396746244,
                0.9999982396559473,
                0.9999952149049349,
                0.9999992661787571,
                0.999999554914895,
                0.9999974387168733,
                0.9999984465020603,
                0.9999970976873228,
                0.9999989322975118,
                0.9999986290423029
            ],
            [
                2.753569438157704e-05,
                0.0011695101077154584,
                9.610239198289712e-05,
                8.481102108148808e-05,
                0.00013982202359938994,
                0.5621765008857981,
                4.539787942390787e-05,
                0.0002959572382597393,
                2.4300232039788792e-05,
                0.0001233945450100987
            ],
            [
                0.9998204720337877,
                0.9999898700126442,
                0.9999810748585282,
                0.9999885212277698,
                0.9999832985821392,
                0.9999852610127573,
                0.9999938558224687,
                0.999994577782323,
                0.9999980052693274,
                0.9999885212332431
            ],
            [
                0.9999832985781584,
                0.9999938558224697,
                0.9999987901347492,
                0.9999869928746385,
                0.9999986290421394,
                0.9999977396748939,
                0.9999952149032241,
                0.9999945777803838,
                0.9999869928746379,
                0.9999986290423029
            ],
            [
                0.9999989322968754,
                0.9999993524048929,
                0.9999987901344607,
                0.9999970976883609,
                0.9999921107392958,
                0.9999945777816766,
                0.9999989322973846,
                0.9999930377437506,
                0.9999974387171787,
                0.9999967112493665
            ],
            [
                0.9992903294528732,
                0.9995121427647069,
                0.9998766054692957,
                0.999891103064765,
                0.9999869928668853,
                0.9999687980774756,
                0.9998601779260209,
                0.9995121428232897,
                0.9999546021422125,
                0.9999756997679633
            ],
            [
                0.9999986290429567,
                0.9999986290426298,
                0.9999898700114359,
                0.9999986290424664,
                0.99989110309081,
                0.999993855826863,
                0.9999869928746368,
                0.9999938558261304,
                0.9999952149072167,
                0.9999967112497585
            ],
            [
                0.9999810748427375,
                0.9999994956524114,
                0.999986992866886,
                0.9999967112501505,
                0.9999987901347492,
                0.9999852610162724,
                0.99999893229713,
                0.9999987901337396,
                0.9999646437492923,
                0.9999910603004992
            ],
            [
                0.9999785550592568,
                0.9999832985821384,
                0.9999945777797374,
                0.9999646437450763,
                0.9999756997592687,
                0.9999945777797377,
                0.9999151889586244,
                0.9999646437408953,
                0.9999957771650454,
                0.9999984465028011
            ],
            [
                0.9999962733598274,
                0.9999945777829696,
                0.9999984465018751,
                0.9999938558224685,
                0.9999885212318752,
                0.999995214906647,
                0.9999921107355337,
                0.999997438717484,
                0.9999967112493665,
                0.9999898700066059
            ],
            [
                0.999998629042303,
                0.9999986290427931,
                0.9999957771655488,
                0.9999977396757023,
                0.9999756997592687,
                0.9999986290432834,
                0.999998005269803,
                0.9999987901338838,
                0.9999646437450779,
                0.9999993524051246
            ],
            [
                0.9999982396565767,
                0.9999991684722697,
                0.999997438716568,
                0.9999967112513267,
                0.9999995549151073,
                0.9999982396567868,
                0.9999992661786696,
                0.9999967112493665,
                0.9999995549147889,
                0.9999986290432835
            ],
            [
                0.99999893229713,
                0.9999974387187053,
                0.9999984465024306,
                0.9999687980960721,
                0.9999962733598274,
                0.7549149758396752,
                0.9999989322975118,
                0.9999945777816768,
                0.9999910603026306,
                0.9999869928699853
            ],
            [
                0.9999910603068933,
                0.999998446502801,
                0.9999921107345933,
                0.9999599363125938,
                0.9999898700041906,
                0.9999980052693274,
                0.9999869928715355,
                0.9999980052695652,
                0.9999986290421394,
                0.9999980052695652
            ],
            [
                0.9999852610197874,
                0.9999987901344607,
                0.9999989322970027,
                0.9999885212332438,
                0.9999980052707541,
                0.9999962733620488,
                0.999998629042303,
                0.9999987901343165,
                0.9999967112501505,
                0.9999974387187053
            ],
            [
                0.9999756997621654,
                0.997527376291483,
                0.9999546021151215,
                0.9999945777797378,
                0.9999852610233012,
                1.012999460251781e-05,
                0.9999832985821392,
                0.99995993630782,
                0.9999756997476837,
                0.9999832985841289
            ],
            [
                1.012998977213635e-05,
                0.9996200155169533,
                0.004070137753647956,
                0.9999869928746377,
                9.610246058755327e-05,
                0.00020342706904670477,
                0.00017952802829978003,
                0.999569443012441,
                0.00023050668607671747,
                0.004609571843927256
            ],
            [
                0.9999970976887068,
                0.9999970976880149,
                0.9999989322968754,
                0.9999977396759717,
                0.9999967112497585,
                0.9999989322966208,
                0.9999974387180947,
                0.9999977396754328,
                0.9999974387187053,
                0.9999945777829694
            ],
            [
                0.9999952149043646,
                0.9999986290427931,
                0.9999977396762411,
                0.9999962733593833,
                0.9999982396569966,
                0.9999921107402359,
                0.9999984465020603,
                0.9999994956525318,
                0.9999910602994343,
                0.9999989322975118
            ],
            [
                0.9999869928761871,
                0.9999984465022455,
                0.999995214904935,
                0.9999982396559473,
                0.9999980052707541,
                0.9999962733611603,
                0.9999970976876689,
                0.9999945777823231,
                0.9999977396748938,
                0.9999852610197867
            ],
            [
                0.0004878572295313736,
                0.9999930377437504,
                0.9999687980737504,
                0.9993736658988743,
                0.9999885212346111,
                0.9999930377420904,
                0.9999810748540158,
                0.999841563820814,
                0.9995694429612494,
                0.9999151889687629
            ],
            [
                0.9999952149037947,
                0.9999938558246669,
                0.9999957771660531,
                0.9999921107364742,
                0.9999938558224688,
                0.9999852610180304,
                0.9999921107383549,
                0.9999930377445808,
                0.9999885212346115,
                0.9997388095973233
            ],
            [
                0.9999974387180947,
                0.9999992661787571,
                0.999986992876188,
                0.999999057755743,
                0.9999993524051246,
                0.9999921107402358,
                0.9999952149032237,
                0.9999990577552939,
                0.999999266179107,
                0.9999989322968754
            ],
            [
                0.999999352405279,
                0.9999974387177893,
                0.9999957771650454,
                0.999999266178757,
                0.999997097686631,
                0.9999987901338838,
                0.9999962733602717,
                0.9999984465018751,
                0.9999967112505427,
                0.9999974387171787
            ],
            [
                0.9999898700102282,
                0.9999898700041899,
                0.9999993524053562,
                0.9999810748562722,
                0.9999898700090206,
                0.9999546021259464,
                0.9999938558224684,
                0.9997388096596329,
                0.9999930377454102,
                0.9999869928746372
            ]
        ]
    },
    {
        "q_id": "10612_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            12,
            14,
            15,
            16,
            17,
            19,
            20,
            21,
            22,
            23,
            24,
            26,
            28,
            30,
            31,
            32,
            33,
            34,
            35,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            66,
            67,
            68,
            69,
            70,
            72,
            73,
            74,
            76,
            77,
            79,
            80,
            81,
            82,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            94,
            95,
            97,
            98,
            100,
            101,
            102,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            125,
            127,
            99
        ],
        "rewards": [
            [
                2.430023488119257e-05,
                2.9023123296511196e-06,
                1.760343629940749e-06,
                1.994730668303547e-06,
                1.760342583229154e-06,
                NaN,
                1.2098656819825055e-06,
                6.962255410300515e-06,
                1.7603427922486577e-06,
                1.3709570425793677e-06
            ],
            [
                4.006370636181322e-05,
                1.8925157250667477e-05,
                2.14449406511298e-05,
                1.1478770853110533e-05,
                1.1478766752748805e-05,
                2.7535694326282365e-05,
                NaN,
                3.535626314104337e-05,
                1.3007126892550145e-05,
                7.889264463675704e-06
            ],
            [
                1.0129993379849628e-05,
                1.89251437091622e-05,
                1.3007134654767206e-05,
                1.3007123803043302e-05,
                5.422220905118557e-06,
                2.430024648072174e-05,
                3.726640614559354e-06,
                4.006367773195234e-05,
                0.00029595700911410206,
                1.3007130002736148e-05
            ],
            [
                5.422220907426478e-06,
                7.889264447947691e-06,
                1.1478773591084453e-05,
                3.726641057967347e-06,
                0.9924227603289106,
                6.144172401547709e-06,
                1.892514139428709e-05,
                0.009708475621895678,
                1.3007133089641917e-05,
                5.829128625501688e-05
            ],
            [
                3.5356246340085515e-05,
                5.829128625501688e-05,
                5.1442225238352464e-05,
                3.5356263316996617e-05,
                9.610245729585985e-05,
                1.473898722977843e-05,
                NaN,
                NaN,
                7.889264451908395e-06,
                7.889263492844175e-06
            ],
            [
                0.01798620831712393,
                1.7603440519921876e-06,
                0.9998601779278335,
                0.9989677692071735,
                0.4073334000459302,
                0.9995121428644453,
                1.0677029969395756e-06,
                0.9997965730051637,
                1.9947297202861493e-06,
                0.9998601779102075
            ],
            [
                1.4738981951170529e-05,
                4.7850967742927495e-06,
                1.4738976673797764e-05,
                2.260325103436365e-06,
                2.5612834313109603e-06,
                1.0129992177321387e-05,
                3.120191130543e-05,
                3.5356254728215854e-05,
                6.144176796601534e-06,
                1.3007126905042372e-05
            ],
            [
                2.1444956020629035e-05,
                8.481107110898491e-05,
                1.892514369573685e-05,
                8.93969948800126e-06,
                6.9622554126053955e-06,
                6.9622570736395275e-06,
                0.000626334124698882,
                8.939697333669489e-06,
                3.726640172120768e-06,
                2.4300249335033846e-05
            ],
            [
                0.0,
                1.1478768107662397e-05,
                4.539789015265042e-05,
                3.5356238038776134e-05,
                0.0001398220693813942,
                8.481108150469728e-05,
                7.484620891466749e-05,
                5.144219508512183e-05,
                0.00010889686878397515,
                NaN
            ],
            [
                0.9997965729801604,
                NaN,
                8.48110104253969e-05,
                0.00017952796165702958,
                0.9902915240289006,
                0.32082131381216084,
                0.9953904274851788,
                0.00020342694499000003,
                0.9984988180320576,
                0.9890130560436913
            ],
            [
                3.288749064802458e-06,
                1.4738981910151754e-05,
                NaN,
                1.0129993388178253e-05,
                5.422217670657454e-06,
                NaN,
                7.889262574994342e-06,
                4.785096194780552e-06,
                2.4300243493630723e-05,
                1.1478772210530154e-05
            ],
            [
                4.785093917171221e-06,
                0.9796676474364818,
                NaN,
                5.1442219615661567e-05,
                NaN,
                0.9999339478241241,
                6.144173129850516e-06,
                6.605215206017788e-05,
                6.96225954348505e-06,
                0.004070137049576412
            ],
            [
                3.120191503327146e-05,
                4.785096198488455e-06,
                4.222834448492775e-06,
                8.939696289676375e-06,
                NaN,
                3.7266379477540945e-06,
                1.9947301964319114e-06,
                3.1201911351060354e-05,
                4.222833441433795e-06,
                2.1444945761396576e-05
            ],
            [
                6.605212674135038e-05,
                NaN,
                8.481104097820946e-05,
                6.9622537359440655e-06,
                0.0001088968957804414,
                0.9241418225903234,
                7.48462040650204e-05,
                0.00010889690726954876,
                2.1444950939693305e-05,
                NaN
            ],
            [
                0.9984988178915865,
                0.9999485577864734,
                0.9995121428016901,
                0.9924227591033186,
                0.348645142101806,
                0.9988304895445589,
                0.9998601778632028,
                0.9399133544545811,
                0.9993736657475248,
                0.9998601778936984
            ],
            [
                2.1444948332913486e-05,
                8.481106107238491e-05,
                3.120191127637186e-05,
                1.3007125327804342e-05,
                1.0129993359322881e-05,
                1.4738978408918237e-05,
                1.670142974960597e-05,
                1.0129990975862006e-05,
                5.829129314282872e-05,
                3.12019149930895e-05
            ],
            [
                3.120190736442033e-05,
                5.144219408020158e-05,
                1.0129988529457946e-05,
                0.9770226320134775,
                0.001700722584184386,
                6.962253752762092e-06,
                1.7603432125739959e-06,
                0.9626731160024469,
                0.0003353502886616546,
                0.9953904277992598
            ],
            [
                NaN,
                2.7535691083329963e-05,
                NaN,
                1.1478766745190422e-05,
                3.120192247805892e-05,
                1.300713463583958e-05,
                1.0129992151008828e-05,
                NaN,
                7.889263522779056e-06,
                0.6791787121629466
            ],
            [
                4.785093902322208e-06,
                3.2887490568222297e-06,
                NaN,
                0.9959298629202221,
                2.561282819029073e-06,
                0.9924227600277652,
                4.222833939148543e-06,
                5.422217022704215e-06,
                4.222834446603185e-06,
                3.7266392758894417e-06
            ],
            [
                1.6701425819994037e-05,
                2.7535694222304334e-05,
                6.605213668174985e-05,
                9.610242485716439e-05,
                0.0019267344788592086,
                2.1444945825992654e-05,
                6.605212082564807e-05,
                1.3007125339823377e-05,
                1.892514823013346e-05,
                0.00023050679076757057
            ],
            [
                0.00013982202196984056,
                0.8354835411997897,
                0.0015011820995140604,
                0.9924227583049327,
                4.222832937036413e-06,
                0.00023050679398697104,
                NaN,
                NaN,
                NaN,
                5.829127919374888e-05
            ],
            [
                6.962255417721724e-06,
                0.9999724643161518,
                0.13296424019782926,
                0.00010889693466689962,
                6.962258736902953e-06,
                0.3208212943308302,
                2.430023200831783e-05,
                0.40733340004593027,
                5.422218320642526e-06,
                1.8925145970336176e-05
            ],
            [
                NaN,
                4.00636772810174e-05,
                5.829125130450534e-05,
                1.1478769489009626e-05,
                1.6701419824232864e-05,
                5.829125840987635e-05,
                0.9971990727122737,
                6.9622595618987794e-06,
                5.1442218667630206e-05,
                4.539789014042939e-05
            ],
            [
                1.147876401064237e-05,
                5.144221963025818e-05,
                0.8807970826714614,
                0.6791786926816161,
                0.00010889695705094126,
                0.00012339458883415657,
                2.430023489604404e-05,
                1.1478765368478775e-05,
                1.473898718951031e-05,
                NaN
            ],
            [
                NaN,
                0.00020342694560560715,
                2.7535681183983206e-05,
                0.01098694352115014,
                NaN,
                5.144220730697468e-05,
                0.731058584489497,
                0.00010889686971089912,
                0.7057850154599562,
                6.605216765342026e-05
            ],
            [
                0.00012339457123558797,
                0.7772998611746912,
                NaN,
                0.0009110509805659408,
                0.7981867777396211,
                1.47389854563191e-05,
                0.996827317126588,
                0.9975273763477625,
                NaN,
                0.9933071503140121
            ],
            [
                NaN,
                1.0129990963184807e-05,
                1.1478772225981004e-05,
                1.3007133095840714e-05,
                1.8925157212938766e-05,
                2.4300249363852786e-05,
                NaN,
                1.8925148216088467e-05,
                NaN,
                0.0004878571913843885
            ],
            [
                NaN,
                3.7266410603195545e-06,
                0.2942149659744614,
                0.9996646497819476,
                0.9046505254608136,
                0.9998601778613352,
                0.8354835330070839,
                2.1444943281001e-05,
                0.904650536386234,
                0.9959298625823433
            ],
            [
                6.962255416328664e-06,
                3.535623776597164e-05,
                6.962257905676445e-06,
                5.422220907298259e-06,
                1.6701423819158677e-05,
                4.222835454952857e-06,
                NaN,
                1.7603434230088762e-06,
                0.9875683501530013,
                1.3709578593435407e-06
            ],
            [
                0.880797085800514,
                3.535625051794422e-05,
                5.422217669868421e-06,
                3.2887502383867454e-06,
                NaN,
                2.430024888224063e-05,
                2.4300240682812897e-05,
                NaN,
                0.9820137929330514,
                1.0129989765963588e-05
            ],
            [
                0.014063623737371644,
                1.300713310000479e-05,
                4.785096197426568e-06,
                NaN,
                0.999088948628428,
                0.9579122686300084,
                0.022977370495439617,
                0.9996200154776425,
                4.222834450743383e-06,
                1.7603427930715817e-06
            ],
            [
                4.222832940423847e-06,
                3.7266406119156634e-06,
                0.9525741281688026,
                NaN,
                3.7266406092313004e-06,
                0.9995694428189726,
                2.9023133666352393e-06,
                0.9995694428251102,
                6.9622562428437995e-06,
                0.9933071493171831
            ],
            [
                2.1444948393530826e-05,
                2.9023112922291915e-06,
                0.00033535015062382157,
                1.4738988974605243e-05,
                NaN,
                1.994730433416319e-06,
                3.72663972689619e-06,
                5.422220261544064e-06,
                0.13296423332632276,
                6.144175332440078e-06
            ],
            [
                5.8291285299519125e-05,
                0.00012339460363907555,
                0.00012339457066464892,
                2.902311292303101e-06,
                0.9399133494052115,
                1.892515047774492e-05,
                NaN,
                0.9999339478239369,
                0.651354857898194,
                7.889260701926633e-06
            ],
            [
                7.88926634455091e-06,
                0.0010322311976130787,
                9.422442567529115e-07,
                1.553497568892479e-06,
                2.9023109467070445e-06,
                0.9996646500224697,
                0.9980732652753324,
                1.7603438417109304e-06,
                1.553497751882252e-06,
                3.7266379498554884e-06
            ],
            [
                0.9984988177842701,
                0.9984988174345756,
                0.24508501313237174,
                0.9992903297570163,
                2.5612819045270073e-06,
                0.9990889489712206,
                0.9947798736462944,
                0.9996646499402013,
                0.9978172838452196,
                2.902312329915082e-06
            ],
            [
                1.0129993389984017e-05,
                7.889265400267349e-06,
                4.5397857410208695e-05,
                8.481104045990494e-05,
                4.006368216522312e-05,
                2.4300243548262928e-05,
                NaN,
                5.829127885150006e-05,
                0.9820137860241868,
                6.475950295483245e-07
            ],
            [
                1.0129987348562583e-05,
                0.022977371039038345,
                4.7850939230116e-06,
                0.00037998455121060536,
                0.8519527982093666,
                2.7535691022025e-05,
                1.8925141435045085e-05,
                0.9796676485124378,
                0.998498817691437,
                0.0028009263421683015
            ],
            [
                1.3007123799068505e-05,
                3.1201907642061724e-05,
                3.1201915067096954e-05,
                1.473898547154699e-05,
                6.144172401145369e-06,
                5.829128614135801e-05,
                6.962257906765564e-06,
                8.93969629982328e-06,
                0.9669140245907174,
                1.4738985481520185e-05
            ],
            [
                6.1441731225413355e-06,
                2.753570412285784e-05,
                7.484621823550934e-05,
                NaN,
                6.144176051668222e-06,
                5.422218964335144e-06,
                4.785092782396909e-06,
                NaN,
                1.4738983707256776e-05,
                8.939697356760206e-06
            ],
            [
                0.0017007220283830017,
                4.222833443046859e-06,
                0.8807970826714614,
                6.962259530618235e-06,
                5.144223199845732e-05,
                0.010986943298510894,
                0.9994472213465471,
                0.998967768808029,
                0.9984988174640658,
                1.3007130012010681e-05
            ],
            [
                5.422218320287462e-06,
                0.0002305067308867309,
                7.889261640899994e-06,
                1.6701417822608368e-05,
                1.8925141422101666e-05,
                1.8925143655116546e-05,
                2.4300240702172852e-05,
                9.61024489421746e-05,
                8.481105080748527e-05,
                1.4738976635620825e-05
            ],
            [
                0.015906391216151,
                0.001032231196412644,
                0.97702262871007,
                7.484623586490171e-05,
                0.9982992774844013,
                1.9947299578582988e-06,
                5.422218958930272e-06,
                NaN,
                0.9996200153986228,
                0.9999038975743849
            ],
            [
                2.7535691064898404e-05,
                6.962256244566128e-06,
                NaN,
                5.829125842132705e-05,
                NaN,
                2.4300243584153988e-05,
                NaN,
                NaN,
                8.93969841496562e-06,
                4.5397873849798294e-05
            ],
            [
                6.144176795416864e-06,
                8.939693101044227e-06,
                1.3007129976142843e-05,
                4.222832935684512e-06,
                8.939696297644297e-06,
                7.88926634001619e-06,
                1.8925148188205033e-05,
                3.726640170920939e-06,
                1.892514367783638e-05,
                1.8925150429069384e-05
            ],
            [
                0.0002611904263268493,
                2.7535681152930053e-05,
                1.6701421837705495e-05,
                NaN,
                0.00015843619125128144,
                0.00037998455883841997,
                0.00023050664911399636,
                4.006370143271507e-05,
                2.7535697590471516e-05,
                3.120192246057862e-05
            ],
            [
                1.147876946829714e-05,
                3.5356246126317865e-05,
                4.539785774116719e-05,
                1.8925150473958278e-05,
                2.7535681155133823e-05,
                NaN,
                6.605215204191656e-05,
                0.0024726234621511925,
                2.75356975433909e-05,
                6.144173867608406e-06
            ],
            [
                2.4300249320005567e-05,
                6.962258729228455e-06,
                2.7535700840637037e-05,
                2.5612834305981435e-06,
                2.4300243498581217e-05,
                0.6513548714339145,
                6.605217537026971e-05,
                1.8925141463066202e-05,
                NaN,
                0.9995694429264662
            ],
            [
                0.7310585727705127,
                6.605215232304469e-05,
                5.422221543958929e-06,
                2.561281293536009e-06,
                1.6701417832451226e-05,
                8.93969842283598e-06,
                8.939698371385949e-06,
                1.892515273086448e-05,
                1.300712533821453e-05,
                8.939696288147833e-06
            ],
            [
                1.0129995803996048e-05,
                0.0017007222145724922,
                0.9669140239948332,
                0.9796676455442833,
                0.6224593241981982,
                5.829127899908691e-05,
                1.1478770856158943e-05,
                2.4300231994703987e-05,
                1.8925150471961686e-05,
                0.9626731157347207
            ],
            [
                2.4300246483727398e-05,
                8.939693101044227e-06,
                NaN,
                2.9023133679867307e-06,
                0.00012339461511531278,
                NaN,
                8.939695234170549e-06,
                1.4738980183824436e-05,
                1.8925150429069384e-05,
                1.1478768099268834e-05
            ],
            [
                0.9820137942161259,
                0.43782349911420193,
                0.04742587570200943,
                0.9990889489373121,
                4.2228339467453066e-06,
                8.93969736427282e-06,
                0.9999756997477526,
                3.7266406160032166e-06,
                NaN,
                6.9622562487453084e-06
            ],
            [
                2.144494322420639e-05,
                0.9525741303566527,
                2.2603237572089375e-06,
                0.029312231228337305,
                NaN,
                2.1444950959977102e-05,
                0.5312093733737563,
                6.962253752458153e-06,
                0.9994472213352595,
                1.3007131557025005e-05
            ],
            [
                0.6224593312018545,
                6.962257883108866e-06,
                6.144177524547225e-06,
                1.5534973838483772e-06,
                7.889266335395368e-06,
                4.785093922889744e-06,
                1.4738988957983248e-05,
                NaN,
                0.00013982210499754162,
                8.939700557979944e-06
            ],
            [
                2.5612828209811664e-06,
                5.144223802012381e-05,
                1.0129988558423862e-05,
                0.0001795279980684062,
                0.007577241085772819,
                7.484622593798776e-05,
                6.962256246035174e-06,
                0.3208213138121609,
                0.0005527786657051582,
                0.004609572399444516
            ],
            [
                1.892515497730606e-05,
                8.939698427486645e-06,
                2.7535704068364516e-05,
                NaN,
                8.939698418868277e-06,
                8.481105988028421e-05,
                5.422220897938359e-06,
                2.7535697486092787e-05,
                4.539789003407339e-05,
                0.00013982212120149811
            ],
            [
                0.9982992773994104,
                7.889261634184023e-06,
                1.0129995788923442e-05,
                6.962259562531989e-06,
                0.9971990733573862,
                0.9902915227037171,
                6.962254588585202e-06,
                7.889266338581152e-06,
                0.9995121429494813,
                1.7603432126700574e-06
            ],
            [
                0.9995694428549208,
                1.012999093480852e-05,
                1.4738987228491566e-05,
                1.670142980222277e-05,
                0.9980732656420301,
                NaN,
                4.785095632885315e-06,
                6.9622562395004554e-06,
                0.8807970873650401,
                0.9465966726483187
            ],
            [
                0.7310585669110202,
                0.029312230963347872,
                2.7535697606699305e-05,
                1.4738983717819781e-05,
                0.9986749776088211,
                0.9706877694076373,
                NaN,
                NaN,
                NaN,
                0.00023050679790390826
            ],
            [
                3.53562379478413e-05,
                NaN,
                5.422220259157241e-06,
                1.892515044256359e-05,
                1.0129995768286133e-05,
                1.0129993371336739e-05,
                1.670141983261753e-05,
                1.1478768049408543e-05,
                2.5612812938854287e-06,
                4.539787357168737e-05
            ],
            [
                7.889264455840398e-06,
                6.144176061614971e-06,
                0.09534945911506375,
                2.2603237580312362e-06,
                6.962257906334983e-06,
                9.61024573489968e-05,
                8.93969842042934e-06,
                2.1444953495919973e-05,
                1.0129988537123226e-05,
                1.8925150468863527e-05
            ],
            [
                4.539786293212917e-05,
                4.539785737189414e-05,
                3.1201900168900725e-05,
                0.001032230826798816,
                4.006370617700847e-05,
                0.00048785723727998024,
                0.9959298625068397,
                0.0019267346884008336,
                7.484622434576098e-05,
                1.8925145933709052e-05
            ],
            [
                1.4738976489669108e-05,
                3.120190746385363e-05,
                2.1444945769198034e-05,
                3.120192229621848e-05,
                7.889264459169685e-06,
                0.9947798735326427,
                NaN,
                1.0129994453689666e-05,
                8.481105051131121e-05,
                0.0953494629710942
            ],
            [
                3.2887490587365276e-06,
                0.998967768766734,
                4.006368235644054e-05,
                0.06754669489377622,
                3.535624222730938e-05,
                0.0008040859765965392,
                8.93969523264201e-06,
                NaN,
                1.47389871806095e-05,
                0.0009110511114310787
            ],
            [
                6.144176061369096e-06,
                NaN,
                4.5397884745670375e-05,
                3.28874867137843e-06,
                NaN,
                2.902311634013664e-06,
                2.753568446199446e-05,
                2.4300246488324276e-05,
                1.1478766709695245e-05,
                NaN
            ],
            [
                5.4222170259787e-06,
                3.726641060658489e-06,
                3.1201926212712214e-05,
                4.785094493532295e-06,
                1.7603436326080487e-06,
                NaN,
                4.785094489458826e-06,
                5.422220255231803e-06,
                2.902311984176362e-06,
                3.288748672879957e-06
            ],
            [
                NaN,
                NaN,
                1.3007128451712492e-05,
                3.726641057031887e-06,
                3.7266410584011837e-06,
                NaN,
                1.4738976680446557e-05,
                2.1444950963097686e-05,
                1.994729482293136e-06,
                4.22283444919945e-06
            ],
            [
                NaN,
                NaN,
                2.4300243312584207e-05,
                0.1480471923932738,
                0.00012339461794666872,
                1.0129992184802409e-05,
                8.481103014934763e-05,
                0.9999485577814634,
                1.670142575364584e-05,
                5.422218320287462e-06
            ],
            [
                1.6701425796662802e-05,
                0.9990889487174375,
                0.9994472213492805,
                0.9740426447801647,
                0.9998601779443183,
                0.9996200154577217,
                0.8807970858005139,
                NaN,
                0.9902915242975188,
                7.889263523238269e-06
            ],
            [
                1.300712526581641e-05,
                0.0024726227477481983,
                6.605215952617266e-05,
                0.9924227604829851,
                1.0129990973134934e-05,
                0.9991959141837183,
                0.9706877684006775,
                1.3007126901209531e-05,
                NaN,
                NaN
            ],
            [
                7.484626253525338e-05,
                4.006369686681418e-05,
                0.0001233945691529173,
                0.957912273285902,
                0.00033534997668140267,
                0.00010889686979329236,
                7.484622686261196e-05,
                3.535624215579626e-05,
                0.005220126288416274,
                6.605213605173463e-05
            ],
            [
                2.9023126731409156e-06,
                4.222832424066811e-06,
                0.4687906266262438,
                2.9023109455878416e-06,
                3.2887502368553064e-06,
                0.0013250225942149252,
                0.0019267346163149301,
                1.5534981242425021e-06,
                6.144176056943351e-06,
                0.5312093733737563
            ],
            [
                4.006368207602718e-05,
                8.939695225031829e-06,
                5.8291244182171195e-05,
                0.00010889688265614603,
                1.3007126909537681e-05,
                9.610240253406813e-05,
                2.1444943291142893e-05,
                1.147876674819707e-05,
                6.962259562228048e-06,
                2.7535693773535958e-05
            ],
            [
                0.9998601779369944,
                0.0007096705632256674,
                4.785096201691526e-06,
                1.760343632710514e-06,
                2.902310946184398e-06,
                2.260323757455627e-06,
                2.561281903483407e-06,
                0.9465966735899121,
                8.939698429242841e-06,
                0.974042641059713
            ],
            [
                3.288747886600349e-06,
                1.370957035058209e-06,
                2.9023126677983036e-06,
                4.785096773196046e-06,
                1.0129994588458645e-05,
                4.5397868390302815e-05,
                5.42222025793424e-06,
                7.889260684189579e-06,
                1.473898371395919e-05,
                5.4222183209778656e-06
            ],
            [
                6.144176698318701e-06,
                2.4300237710750868e-05,
                4.006368665125408e-05,
                1.3007131555983986e-05,
                1.0129989763162812e-05,
                0.6513548714339145,
                1.6701425809239798e-05,
                7.889266333185408e-06,
                3.5356246413913815e-05,
                0.9953904271967372
            ],
            [
                6.962255337202865e-06,
                0.5312093733737563,
                3.120192243129346e-05,
                0.015906394540013826,
                7.889265338991239e-06,
                0.00020342694630408437,
                0.9982992772434618,
                4.785092772126199e-06,
                0.9975273773527505,
                0.987568347934816
            ],
            [
                6.144176796422715e-06,
                NaN,
                1.1478773549910024e-05,
                5.422221553072258e-06,
                4.7850967749455485e-06,
                0.09534946232842245,
                0.9990889489455774,
                3.2887502376569185e-06,
                0.5312093733737563,
                0.0004305570873117873
            ],
            [
                8.481105076922944e-05,
                0.9626731125220075,
                4.5397868592445174e-05,
                0.00012339457288736128,
                NaN,
                0.9998601779436082,
                0.0003353501672297269,
                0.9579122683296283,
                NaN,
                1.6701415836295226e-05
            ],
            [
                NaN,
                0.9875683517994892,
                0.9933071498248849,
                5.82912446122085e-05,
                3.1201910908604806e-05,
                NaN,
                7.889261639177951e-06,
                6.605215963670168e-05,
                NaN,
                NaN
            ],
            [
                0.00015843615910087313,
                0.24508502416032485,
                0.042087725963147436,
                5.144220671263065e-05,
                0.00015843627186591753,
                0.4687906266262437,
                0.29421497216298875,
                0.9997040427699895,
                0.9902915227932566,
                4.539787826390112e-05
            ],
            [
                NaN,
                1.670141584261409e-05,
                NaN,
                NaN,
                NaN,
                6.9622537539525255e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9579122740368526,
                3.7266392824512166e-06,
                1.3007128416412486e-05,
                1.8925150470928963e-05,
                9.422450427789992e-07,
                0.00043055697879117025,
                2.14449586130551e-05,
                9.610243714297992e-05,
                1.670141967731907e-05,
                1.0129990974572174e-05
            ],
            [
                1.9947306711264317e-06,
                0.9996200155395052,
                0.9933071497320125,
                3.2887482782296293e-06,
                3.726638393005574e-06,
                0.9984988176549668,
                0.9933071481315137,
                0.9990889486916884,
                0.9971990733463308,
                4.222833946199938e-06
            ],
            [
                7.889261611395634e-06,
                1.1478773480757028e-05,
                8.939696286001373e-06,
                NaN,
                1.4738976695459959e-05,
                NaN,
                5.422220907426478e-06,
                6.144173127034135e-06,
                5.422218321855664e-06,
                1.300712377441529e-05
            ],
            [
                5.1442194727692094e-05,
                2.1444956044501514e-05,
                0.00020342706042820048,
                0.9796676462863219,
                0.8933094074745443,
                3.120190383817056e-05,
                1.4738987228491566e-05,
                NaN,
                0.9953904279915542,
                NaN
            ],
            [
                2.2603253754921562e-06,
                2.1444945800715927e-05,
                1.6701425809239798e-05,
                8.939694169591174e-06,
                6.9622545849505825e-06,
                7.889259758619574e-06,
                8.939696301611998e-06,
                0.00023050663066281988,
                3.7266410584011837e-06,
                1.760343632854606e-06
            ],
            [
                0.9990889487792144,
                0.9940889323942385,
                0.9796676477332973,
                NaN,
                0.9971990730757998,
                2.2603253720652223e-06,
                0.10669060104662922,
                0.0004878570788451234,
                0.009708475657711442,
                0.999195913933051
            ],
            [
                NaN,
                1.994729718043807e-06,
                0.10669059820623797,
                NaN,
                1.1478769483831504e-05,
                NaN,
                NaN,
                2.260324836341129e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9990889488376004,
                0.9796676467686471,
                0.9998766053669486,
                4.222832436587256e-06,
                2.4300252239735237e-05,
                1.3007134653584231e-05,
                0.9996646498949009,
                1.6701421770567458e-05,
                1.3007134640098298e-05
            ],
            [
                7.889259763469998e-06,
                2.7535684453379715e-05,
                3.726640613745911e-06,
                1.99472972129484e-06,
                2.90231233014737e-06,
                1.6701425809239798e-05,
                6.144177519987366e-06,
                4.222833440773207e-06,
                3.7266379505740294e-06,
                5.422217676397663e-06
            ],
            [
                6.144173864881432e-06,
                0.9933071482089071,
                0.7981867777396212,
                0.9706877707325845,
                0.9890130583409235,
                3.5356267221666735e-05,
                0.9998415638033592,
                0.6224593382055109,
                0.9933071501406505,
                0.32082130731838393
            ],
            [
                9.610242605973675e-05,
                1.1478772220427047e-05,
                0.042087725512577126,
                0.00037998456865508595,
                NaN,
                3.2887478869712438e-06,
                0.00037998455481447137,
                5.422219608067289e-06,
                1.1478769478402829e-05,
                1.892514595037026e-05
            ],
            [
                0.4378234991142019,
                6.605215227306636e-05,
                4.222833945815874e-06,
                4.539786270884777e-05,
                8.48110203003293e-05,
                2.430024351078064e-05,
                4.222831933104063e-06,
                4.222835456105047e-06,
                2.5612815996464693e-06,
                1.3007123797175743e-05
            ],
            [
                4.006370625629378e-05,
                1.6701429727246864e-05,
                6.144173120887271e-06,
                4.0063682407742773e-05,
                9.610239166057987e-05,
                1.670141785596473e-05,
                0.7981867705385762,
                5.42222155240158e-06,
                0.00012339460356007768,
                5.1442219666936855e-05
            ],
            [
                0.9579122755387536,
                0.9968273172657588,
                3.120192250053358e-05,
                0.9982992775630675,
                0.985936371316731,
                0.9947798733077574,
                7.889264456213506e-06,
                1.1478770818450524e-05,
                0.9947798743330409,
                5.422219613846953e-06
            ],
            [
                6.962257905169877e-06,
                NaN,
                0.00037998445726689507,
                NaN,
                0.00020342706696311027,
                NaN,
                1.4738988973747334e-05,
                0.9840936112330106,
                5.422219613176275e-06,
                1.670142182257665e-05
            ],
            [
                5.422220258959982e-06,
                1.3007133105966991e-05,
                1.1478770851147858e-05,
                1.7603434229000067e-06,
                4.222832935899587e-06,
                0.9399133489844307,
                0.9890130560538113,
                0.13296422989056964,
                4.22283293835759e-06,
                1.20986539478945e-06
            ],
            [
                2.4300249245748184e-05,
                0.9820137906958954,
                0.9924227576676248,
                4.0063682489068473e-05,
                5.422221551868983e-06,
                4.785093922254353e-06,
                1.6701419846834993e-05,
                0.0009110512249181891,
                5.8291286056113877e-05,
                0.00010889694822535056
            ],
            [
                2.5612819036697642e-06,
                4.222833444283541e-06,
                6.605212752274213e-05,
                1.0129993366398528e-05,
                NaN,
                NaN,
                0.9964063974327527,
                3.120190752719128e-05,
                0.22270013366638422,
                7.889262580791891e-06
            ],
            [
                NaN,
                2.4300231964293844e-05,
                6.962257058721119e-06,
                5.144220909075537e-05,
                5.4222209064007344e-06,
                4.785093922115089e-06,
                3.288749063629951e-06,
                1.6701423826206655e-05,
                NaN,
                0.009708477618624761
            ],
            [
                1.0129993363302931e-05,
                1.0129992159632272e-05,
                6.962253751824944e-06,
                6.144177512477009e-06,
                8.939694162533871e-06,
                1.6701419758735313e-05,
                1.1478766746777263e-05,
                NaN,
                2.144494062585308e-05,
                1.300713143924788e-05
            ],
            [
                0.0013250225498489458,
                NaN,
                5.829129319244845e-05,
                0.03732688895048618,
                NaN,
                4.539788416566693e-05,
                NaN,
                0.9241418168448761,
                NaN,
                5.1442237953129084e-05
            ],
            [
                NaN,
                0.2450850021044189,
                0.5312093733737563,
                1.0129995782805955e-05,
                0.924141814233309,
                0.9998415638093711,
                NaN,
                NaN,
                0.00023050676106189667,
                NaN
            ],
            [
                4.222834444713595e-06,
                5.422218296537589e-06,
                5.144220593189913e-05,
                5.144221345925926e-05,
                NaN,
                6.1441738604109855e-06,
                0.9953904275150913,
                5.422218967797024e-06,
                NaN,
                NaN
            ],
            [
                5.829129313731541e-05,
                0.9998415637081712,
                NaN,
                9.6102460208603e-05,
                2.430023202131286e-05,
                NaN,
                0.000108896920862855,
                0.00091105130227169,
                NaN,
                4.0063696885178056e-05
            ]
        ]
    },
    {
        "q_id": "10722_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            49,
            50,
            51,
            52,
            53,
            54,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            48,
            55,
            72,
            115
        ],
        "rewards": [
            [
                0.9999945777816768,
                0.9999546021259818,
                0.9999785550515954,
                0.9999687980774912,
                0.999998629042303,
                0.9999852610110034,
                0.9999952149066462,
                0.9999785550592607,
                0.9999898700041914,
                0.9999967112501507
            ],
            [
                0.9999885212305071,
                0.9999910603068942,
                0.9999339478317699,
                0.9999930377445806,
                0.9990889490041224,
                0.999796573027361,
                0.99998526101803,
                0.9999930377412611,
                0.9999546021151535,
                0.9999339478632668
            ],
            [
                0.9991959141622059,
                0.999891103051941,
                0.9996646500111618,
                0.9996646500117374,
                0.9991959142485832,
                0.9968273170566343,
                0.9991959142485832,
                0.9770226299645285,
                0.9999151889587774,
                0.9998766054693945
            ],
            [
                0.9999938558224694,
                0.999998239656367,
                0.9999898700078138,
                0.9999980052702785,
                0.9999885212332457,
                0.9999724643089143,
                0.9999910603058283,
                0.9999962733602719,
                0.9999980052695652,
                0.9999984465022455
            ],
            [
                0.999876605366322,
                0.9998204720773193,
                0.9997388096616391,
                0.9999938558261313,
                0.9999785550515917,
                0.9999910603036963,
                0.9999869928668863,
                0.9999687980849129,
                0.9998766054105033,
                0.9740426416719394
            ],
            [
                0.9999756997534811,
                0.9999921107345938,
                0.9999977396762411,
                0.9999962733616047,
                0.9999921107402364,
                0.9999982396563669,
                0.9999785550541467,
                0.9999852610197885,
                0.999988521234613,
                0.9999962733611603
            ],
            [
                0.9999151889283604,
                0.9999910603047621,
                0.9999938558232011,
                0.9999832985701949,
                0.9999952149072167,
                0.9999417087136605,
                0.9999646437577306,
                0.9999869928730887,
                0.999959936288716,
                0.9999832985701952
            ],
            [
                0.9999724643089097,
                0.9999984465018751,
                0.999989870009023,
                0.999997097686631,
                0.9999599363222021,
                0.9999546021259818,
                0.9999869928746402,
                0.9999869928746422,
                0.9999910603058298,
                0.9999910603005008
            ],
            [
                0.9999921107383561,
                0.9999785550592607,
                0.9999974387177893,
                0.9999986290421394,
                0.9999945777803847,
                0.99999893229713,
                0.9999852610180308,
                0.9999756997505828,
                0.9999982396567867,
                0.9999952149043648
            ],
            [
                0.9999646437535306,
                0.9999646437408697,
                0.9997965729547312,
                0.9998415637079753,
                0.999738809660978,
                0.9999151889586936,
                0.9999485577802613,
                0.9999910603036963,
                0.9999832985701949,
                0.9995694429143667
            ],
            [
                0.9999977396748939,
                0.9999991684717742,
                0.9999962733589393,
                0.9999987901338838,
                0.9999869928730887,
                0.9999989322975118,
                0.999999352405279,
                0.9999974387177893,
                0.9999991684717741,
                0.9999962733611607
            ],
            [
                0.999992110737415,
                0.9999984465024307,
                0.9999952149032239,
                0.9999987901337396,
                0.9999921107345936,
                0.9999970976890529,
                0.9999990577557432,
                0.9999910602994353,
                0.9999810748585329,
                0.9999982396567867
            ],
            [
                0.9999251537728645,
                0.9999599362935143,
                0.9999151889587774,
                0.9998766054401742,
                0.9999974387177893,
                0.9999546021259963,
                0.9999984465022455,
                0.9999898700066064,
                0.9999646437535286,
                0.9999957771665555
            ],
            [
                0.9999869928699864,
                0.9999251537817575,
                0.9999485578047641,
                0.99998329858413,
                0.9998911031298519,
                0.9999546021367857,
                0.9999810748585306,
                0.9999810748472515,
                0.9999417087067041,
                0.9999339478553779
            ],
            [
                0.999981074844998,
                0.9999962733616046,
                0.9999938558275957,
                0.9999756997505969,
                0.9999980052707542,
                0.9999982396561572,
                0.9998766054401024,
                0.9999599362935143,
                0.9999974387165681,
                0.9999974387171787
            ],
            [
                0.9999967112493667,
                0.9999251537996128,
                0.9999974387177893,
                0.9999962733598282,
                0.9999945777823233,
                0.999998005269803,
                0.9999962733598274,
                0.9999945777790913,
                0.9999967112501505,
                0.9999991684720715
            ],
            [
                0.9999251537549417,
                0.9999869928730875,
                0.9999151889586775,
                0.9997694932297829,
                0.9999151889890027,
                0.9999251537995464,
                0.9999599363221447,
                0.9999251537995338,
                0.9991959142530729,
                0.9998766053957809
            ],
            [
                0.9999980052702785,
                0.9999485577986525,
                0.9999952149043647,
                0.9999810748472566,
                0.9999921107336532,
                0.9999898700066064,
                0.9999952149032237,
                0.9999974387180947,
                0.9999945777810304,
                0.9999885212264024
            ],
            [
                0.9999991684721706,
                0.9999994956523514,
                0.9999994956524114,
                0.9999910603036973,
                0.9999987901343166,
                0.9999984465024307,
                0.9999982396563671,
                0.9999982396569966,
                0.9999984465026159,
                0.9999987901341723
            ],
            [
                0.9999910603068934,
                0.9999962733593833,
                0.9999945777816768,
                0.9999930377420909,
                0.9999938558232012,
                0.999997438716568,
                0.9999945777816769,
                0.9999982396574163,
                0.9999938558253982,
                0.9999986290424664
            ],
            [
                0.9999869928761894,
                0.9999967112509347,
                0.9999984465016899,
                0.9999546021476354,
                0.9999986290426297,
                0.9999885212277709,
                0.9999952149055056,
                0.9999910603036979,
                0.999996711252111,
                0.9999646437619613
            ],
            [
                0.9999898700054015,
                0.9999910603015658,
                0.9999599363030609,
                0.9999921107374156,
                0.9999930377445809,
                0.9999982396569966,
                0.9999967112501508,
                0.9999982396561572,
                0.999986992869987,
                0.9999938558268634
            ],
            [
                0.999995214904365,
                0.999820472034822,
                0.9995121429446278,
                0.9999724642990605,
                0.9999885212277724,
                0.9999977396759716,
                0.9995694430164491,
                0.9999832985761665,
                0.999975699765066,
                0.9999938558261309
            ],
            [
                0.9999990577554061,
                0.999997097688361,
                0.9999957771655492,
                0.9999984465020603,
                0.9999967112497588,
                0.9999980052707541,
                0.999998629042303,
                0.9999986290429567,
                0.9999921107364749,
                0.9999974387180948
            ],
            [
                0.9999151889182596,
                0.9999417087553565,
                0.9999852610162734,
                0.9999599363078321,
                0.9999756997592761,
                0.9999646437408763,
                0.9999930377412609,
                0.9999930377429203,
                0.9999151889890433,
                0.9999852610180312
            ],
            [
                0.9999756997650686,
                0.999664649732686,
                0.9998204720776458,
                0.9999485577863629,
                0.9994472214572999,
                0.9997694933412681,
                0.9993736659049589,
                0.9998601779760934,
                0.9996200155178487,
                0.999941708713636
            ],
            [
                0.9999996072137529,
                0.999996273358939,
                0.9999984465024306,
                0.9999921107345934,
                0.9999984465026158,
                0.9999952149072172,
                0.9999977396765105,
                0.9999980052707542,
                0.9999898700114374,
                0.9999984465015047
            ],
            [
                0.999995777166556,
                0.9999990577552937,
                0.9999921107345942,
                0.9999938558246665,
                0.9999987901344607,
                0.9999962733616049,
                0.9999982396565769,
                0.9999952149037944,
                0.9999987901338838,
                0.9999994284993485
            ],
            [
                0.9998601779761361,
                0.9999885212318759,
                0.9999687980849142,
                0.9999417087136483,
                0.9998911031167924,
                0.9999546021097171,
                0.9999339478632352,
                0.999959936298269,
                0.9999869928684356,
                0.9999687980960786
            ],
            [
                0.9999724643154765,
                0.9999967112521108,
                0.9999832985701989,
                0.9999938558246663,
                0.9999546021476384,
                0.9999485577863896,
                0.9999977396746245,
                0.9999977396754327,
                0.9999986290426298,
                0.9999957771670591
            ],
            [
                0.9999967112497585,
                0.9999852610145195,
                0.9999810748450007,
                0.9999756997650764,
                0.9999991684721706,
                0.9999957771665559,
                0.9999756997679764,
                0.999997438717484,
                0.9999251537996863,
                0.999997097687669
            ],
            [
                0.9999977396762411,
                0.999954602136831,
                0.9999962733589393,
                0.9999970976880149,
                0.9999984465020603,
                0.9999974387184001,
                0.9999980052702786,
                0.9999952149055055,
                0.9999990577556308,
                0.9999984465020603
            ],
            [
                0.9999967112521109,
                0.9999952149043648,
                0.999997438716568,
                0.9999938558239336,
                0.9999952149060758,
                0.9999921107355343,
                0.999964643732444,
                0.9999910603015668,
                0.9999756997621728,
                0.9999952149072169
            ],
            [
                0.9999957771660524,
                0.9999984465018751,
                0.9999945777790915,
                0.9999994284996211,
                0.9999989322972572,
                0.9999980052695652,
                0.9999982396569966,
                0.9999952149072168,
                0.9999987901347492,
                0.9999957771680659
            ],
            [
                0.9999898700102293,
                0.9999962733620492,
                0.9999974387180947,
                0.9999898700053997,
                0.9999885212359826,
                0.9999785550490434,
                0.9999952149043647,
                0.9999982396567867,
                0.9999962733611604,
                0.9999987901341724
            ],
            [
                0.9999993524051246,
                0.9999984465018751,
                0.9999991684715759,
                0.9999962733607161,
                0.9999991684722697,
                0.9999989322970027,
                0.99999862904312,
                0.9999986290427932,
                0.9999938558246666,
                0.9999974387168734
            ],
            [
                0.9999869928684375,
                0.9999984465020603,
                0.9999599363221628,
                0.99999862904312,
                0.9999339478239136,
                0.9999930377454107,
                0.9999599363078342,
                0.9999962733620488,
                0.999978555041372,
                0.9999885212291407
            ],
            [
                0.9999785550439259,
                0.9999756997505934,
                0.9999921107383554,
                0.999954602147616,
                0.9999832985701977,
                0.999915188928498,
                0.9999910603058285,
                0.9999898700066057,
                0.9999930377420909,
                0.999995214906076
            ],
            [
                0.9999921107364745,
                0.9999980052705164,
                0.9999930377445807,
                0.9999952149032237,
                0.9998415637458471,
                0.9999599362983042,
                0.9999756997563826,
                0.9999921107345937,
                0.9999756997563761,
                0.9999251537906921
            ],
            [
                0.9997965729789262,
                0.9999485577679776,
                0.9995694429672992,
                0.9998766054400844,
                0.999983298582142,
                0.9999646437535146,
                0.9997388097542561,
                0.9984988177472764,
                0.9999646437535097,
                0.999964643757734
            ],
            [
                0.9999930377420909,
                0.9999982396569966,
                0.9999986290424664,
                0.9999990577556308,
                0.9999945777829696,
                0.9999982396567868,
                0.9999945777797378,
                0.9999996072136125,
                0.9999957771645419,
                0.9999990577554062
            ],
            [
                0.999978555056705,
                0.9999546021259605,
                0.9999756997650652,
                0.9999852610197881,
                0.9999756997679626,
                0.9999885212291382,
                0.9998911030779107,
                0.999988521234612,
                0.9999930377462408,
                0.9999921107345933
            ],
            [
                0.9999546021151678,
                0.9999869928761882,
                0.9997040429720107,
                0.9999921107374152,
                0.9999832985741794,
                0.9999962733620488,
                0.9999945777829696,
                0.9999930377429206,
                0.9999646437366636,
                0.999997097686977
            ],
            [
                0.9999970976880149,
                0.9999945777823231,
                0.9999885212277727,
                0.9999885212305071,
                0.9999869928746422,
                0.9999885212346142,
                0.9999885212359814,
                0.999997438717484,
                0.9998415638025179,
                0.9999989322966208
            ],
            [
                0.9998766054252419,
                0.9999599363221565,
                0.9999417087206043,
                0.9999852610180298,
                0.9999869928699859,
                0.9999785550464765,
                0.999948557774106,
                0.9999938558253983,
                0.999620015563715,
                0.9999910603015648
            ],
            [
                0.9999977396759716,
                0.9999982396561572,
                0.9999987901343166,
                0.9999984465028011,
                0.9999974387171787,
                0.9999984465016899,
                0.9999993524054335,
                0.9999938558224687,
                0.9999970976873229,
                0.9999980052693275
            ],
            [
                0.9968273170905065,
                6.144173136729416e-06,
                2.2603242978377903e-06,
                0.9998204720132834,
                6.144173868882483e-06,
                1.473898899664279e-05,
                3.288750633569722e-06,
                3.7266379512857925e-06,
                1.0129990976156825e-05,
                6.962257079173776e-06
            ],
            [
                0.9999546021259818,
                0.9998415638404495,
                0.999796573051781,
                0.9999810748495063,
                0.9997694932308292,
                0.9999339478789758,
                0.9999724643056274,
                0.9999832985741757,
                0.9999921107355336,
                0.9999646437408712
            ],
            [
                0.999997097686631,
                0.9999992661788445,
                0.9999970976876689,
                0.9999945777823239,
                0.9999977396748939,
                0.9999987901346049,
                0.9999982396559474,
                0.999998005269803,
                0.99999893229713,
                0.9999970976883611
            ],
            [
                0.9999687980960991,
                0.9999986290432835,
                0.9999967112505429,
                0.9999930377445808,
                0.9999910603004994,
                0.9999945777784451,
                0.9999986290432834,
                0.9999977396765105,
                0.9999785550592651,
                0.9999869928715373
            ],
            [
                0.9999687980998037,
                0.9999485577986492,
                0.9999885212264018,
                0.9999687980811988,
                0.9997388097232115,
                0.9999832985761703,
                0.9999724642990595,
                0.9999485577864,
                0.9999952149055054,
                0.9999151889183441
            ],
            [
                0.9999945777810302,
                0.9999810748585277,
                0.9999885212305071,
                0.9999687980886323,
                0.9998601779760934,
                0.9999945777784447,
                0.9999485577924913,
                0.999985261018029,
                0.9999599362887218,
                0.9998766053811251
            ],
            [
                0.9999945777829697,
                0.9999485578047843,
                0.9999832985821404,
                0.9999910603058294,
                0.999995214906076,
                0.9999945777823233,
                0.999985261023302,
                0.9999987901343165,
                0.9999756997476957,
                0.9999952149032237
            ],
            [
                0.9999977396757022,
                0.9999984465026158,
                0.9999938558261309,
                0.9999977396759716,
                0.9999987901337396,
                0.9999938558232014,
                0.9999957771660528,
                0.9999977396762412,
                0.9999987901346049,
                0.9999974387177896
            ],
            [
                0.9999986290429567,
                0.999996273362049,
                0.9999921107345939,
                0.9999977396754328,
                0.9999885212346156,
                0.9999990577549568,
                0.9999852610233028,
                0.9999982396561572,
                0.999996711251719,
                0.9999832985821445
            ],
            [
                0.9998601779594093,
                0.9998204719484429,
                0.9998601779426642,
                0.9999417087344838,
                0.9990889487823403,
                0.9947798734214092,
                0.9999038975507893,
                0.9998204720128236,
                0.9999687980737552,
                0.9998911031168067
            ],
            [
                0.9999646437492968,
                0.999988521229139,
                0.9999869928761894,
                0.9999038975735949,
                0.9996200155613383,
                0.9999756997592735,
                0.9999339478474549,
                0.9998766054547045,
                0.9999756997621719,
                0.9996646497723958
            ],
            [
                0.9999885212277717,
                0.9999957771665557,
                0.9999687980960773,
                0.9999885212332438,
                0.9999930377437511,
                0.9999885212318764,
                0.9999910603036969,
                0.9999898700054001,
                0.9998911031298787,
                0.9999756997592744
            ],
            [
                0.9999898700041907,
                0.9999756997476854,
                0.9999977396746244,
                0.9999930377462405,
                0.9999982396572065,
                0.9999910603058285,
                0.9999869928668863,
                0.9999982396569966,
                0.9999970976880149,
                0.9999930377420911
            ],
            [
                0.9999485577679555,
                0.9999038975965122,
                0.9959298616668614,
                0.9999646437577242,
                0.9999832985821392,
                0.9999885212318752,
                0.9993736659767715,
                0.9999869928699859,
                0.9998204720980326,
                0.9996646497312811
            ],
            [
                0.9999756997534802,
                0.9999967112497585,
                0.9999687980737603,
                0.9999898700066057,
                0.9999921107364745,
                0.9999938558275958,
                0.9999898700066064,
                0.999995214904935,
                0.9999952149037942,
                0.9999910603036967
            ],
            [
                0.9999982396561572,
                0.9999992661786696,
                0.9999962733598278,
                0.9999970976887069,
                0.9999869928699907,
                0.9999962733607163,
                0.9999977396754328,
                0.9999852610127625,
                0.9999989322966208,
                0.9999980052693275
            ],
            [
                0.9999898700114366,
                0.999972464315473,
                0.9999898700114365,
                0.999985261023302,
                0.9999869928653348,
                0.999997438717484,
                0.9999151889283845,
                0.9999646437366619,
                0.9999724642957865,
                0.999993855824666
            ],
            [
                0.9999898700126431,
                0.9999485578047611,
                0.9998415637077331,
                0.9999687980997877,
                0.9999339478396064,
                0.9997040429717438,
                0.9999599363125974,
                0.9999898700090203,
                0.9999038976194604,
                0.9999339478632154
            ],
            [
                0.999738809629067,
                0.9999599362982708,
                0.9999599362982708,
                0.9999485578047611,
                0.9999599362982768,
                0.9998204719916036,
                0.9999417087205802,
                0.9999599362982748,
                0.9998415637643762,
                0.9999756997563736
            ],
            [
                0.9999993524052018,
                0.9999938558253991,
                0.9999986290427932,
                0.9999989322975119,
                0.9999989322967482,
                0.9999991684718733,
                0.9999910603058285,
                0.9999992661791945,
                0.9999930377454107,
                0.9999986290429567
            ],
            [
                0.9999756997679586,
                0.9999898700041899,
                0.9999898700078136,
                0.9999546021097478,
                0.9999339478632202,
                0.999978555056703,
                0.9999957771650453,
                0.9999599363221565,
                0.9999921107355336,
                0.9999038976194708
            ],
            [
                0.9999599363221586,
                0.9999546021205397,
                0.9999251537817236,
                0.9999869928684356,
                0.9998911031299643,
                0.9999898700102285,
                0.9997040430073586,
                0.9999038976080269,
                0.9999546021259581,
                0.9998766054400162
            ],
            [
                0.9999687980737629,
                0.9999885212359813,
                0.9999970976880149,
                0.9999970976880153,
                0.9999974387171787,
                0.9999962733620488,
                0.999998790134028,
                0.9999962733611603,
                0.9999980052709919,
                0.9999151889791851
            ],
            [
                0.9999974387187055,
                0.9999986290427931,
                0.9999962733589396,
                0.9999980052705165,
                0.9999945777790913,
                0.9999957771675627,
                0.999998005269803,
                0.9999967112501505,
                0.9999957771660523,
                0.9999957771645424
            ],
            [
                0.999995214904365,
                0.9999962733616049,
                0.999993037743751,
                0.999998446502801,
                0.9999952149043648,
                0.9999957771655491,
                0.999995214906076,
                0.9999852610162758,
                0.9999930377412609,
                0.9999852610127599
            ],
            [
                0.9999930377404308,
                0.999993037746242,
                0.9999974387177893,
                0.9999898700102289,
                0.999997097688361,
                0.9999687980812015,
                0.9999962733607162,
                0.9999962733607161,
                0.9999930377404317,
                0.9999986290429566
            ],
            [
                0.999997097686977,
                0.9999977396757022,
                0.9999962733616046,
                0.9999957771665555,
                0.9999957771660523,
                0.9999952149043646,
                0.9999962733607161,
                0.9999921107364742,
                0.9999945777816768,
                0.999997097686977
            ],
            [
                0.9999417087553242,
                0.999981074842736,
                0.9999832985721836,
                0.9999251537996128,
                0.9999546021259655,
                0.9999852610197874,
                0.999988521229138,
                0.9999832985801506,
                0.9997965731001239,
                0.9999038975851507
            ],
            [
                0.9999910603026309,
                0.9999957771675623,
                0.999983298574177,
                0.9999898700114365,
                0.9999930377437508,
                0.9999938558275957,
                0.9999970976883609,
                0.9999810748517628,
                0.999992110740236,
                0.9999785550592677
            ],
            [
                0.9999869928746383,
                0.9999970976876689,
                0.9999417087205958,
                0.9999898700126437,
                0.9999869928761894,
                0.9999339478790235,
                0.9999945777797378,
                0.9999945777790913,
                0.9999952149037942,
                0.999996273358939
            ],
            [
                0.9999898700102303,
                0.9999962733607163,
                0.9999930377454107,
                0.9999967112517189,
                0.9999980052705163,
                0.9999898700126437,
                0.999997438716568,
                0.9999898700126459,
                0.9999869928668857,
                0.9999885212277707
            ],
            [
                0.9999546021422691,
                0.9999898700090215,
                0.9999952149043647,
                0.9999945777797377,
                0.999993037745411,
                0.9999962733616047,
                0.9999952149055056,
                0.9999977396746244,
                0.999975699762171,
                0.9999957771645422
            ],
            [
                0.9999832985821414,
                0.9999339478711399,
                0.9999986290426298,
                0.999994577778445,
                0.9999910603058285,
                0.9999785550464855,
                0.9999885212277702,
                0.9999952149055055,
                0.9999910603058285,
                0.9999977396746244
            ],
            [
                0.999964643732439,
                0.9999485577618298,
                0.9997388096925318,
                0.9999687980886309,
                0.9980732657324733,
                0.9999785550592643,
                0.999954602115151,
                0.9999599362982768,
                0.9999885212359807,
                0.9999724642957762
            ],
            [
                0.9999974387187054,
                0.9999832985841337,
                0.9999962733593833,
                0.9999991684715759,
                0.9999910603068939,
                0.9999986290426297,
                0.999998790134028,
                0.9999852610215476,
                0.9999974387180947,
                0.999992110737415
            ],
            [
                0.9999930377462407,
                0.9999952149055056,
                0.9999957771645419,
                0.9999885212359807,
                0.9999938558232014,
                0.9999910602994342,
                0.9999945777816767,
                0.9999945777816768,
                0.9999885212332438,
                0.9999921107392954
            ],
            [
                0.9999869928746395,
                0.9999646437366602,
                0.9999599363173852,
                0.9999869928653358,
                0.9999687980812015,
                0.9999938558232012,
                0.9999546021097423,
                0.9999151889486873,
                0.999972464312199,
                0.9999977396765105
            ],
            [
                0.999995214904365,
                0.9999151889486693,
                0.9999930377420909,
                0.9999910603015651,
                0.9999967112513268,
                0.9999898700066059,
                0.9999151889385698,
                0.9999945777823231,
                0.9999980052693274,
                0.9999970976880148
            ],
            [
                0.9999910602994355,
                0.9999938558275957,
                0.9999967112497586,
                0.9999977396751633,
                0.9999987901337396,
                0.9999980052693274,
                0.9999977396748938,
                0.9999991684717741,
                0.9999930377437507,
                0.9999938558232012
            ],
            [
                0.9999910602994343,
                0.999993855826131,
                0.9999687980960875,
                0.9999417087345169,
                0.9999898700090213,
                0.9999967112493665,
                0.9999417087414566,
                0.9999910603058291,
                0.9999599363221651,
                0.99996879809608
            ],
            [
                0.9999987901347492,
                0.9999984465018751,
                0.9999984465022455,
                0.9999885212305079,
                0.999999168471675,
                0.999997438716568,
                0.9999485577925075,
                0.9999984465026158,
                0.9999869928746379,
                0.999999057755743
            ],
            [
                0.9999990577555185,
                0.9999646437493069,
                0.9999546021422073,
                0.9999945777784451,
                0.9999974387180947,
                0.9999974387180947,
                0.999993037745411,
                0.9999970976883609,
                0.9999967112501507,
                0.9999974387168733
            ],
            [
                0.9996200155184567,
                0.9999921107392962,
                0.999994577781677,
                0.9999852610127611,
                0.9999930377429208,
                0.999941708727552,
                0.9999930377404309,
                0.9999938558224687,
                0.9999930377429209,
                0.9999980052707541
            ],
            [
                0.9999992661792819,
                0.999981074851767,
                0.9999957771650456,
                0.9999910603058294,
                0.9999982396561572,
                0.9999930377462407,
                0.9999992661791945,
                0.9999967112513269,
                0.999998446502801,
                0.9999984465028011
            ],
            [
                3.726640172537657e-06,
                1.7603432132784448e-06,
                3.2887490653408545e-06,
                1.6701427812931038e-05,
                9.422443692489024e-07,
                2.2603248367358324e-06,
                5.144223198722914e-05,
                2.9023133690188264e-06,
                3.726638395415398e-06,
                2.902313023039776e-06
            ],
            [
                0.999978555041362,
                0.99997246431547,
                0.9997694933129977,
                0.9999599362935078,
                0.9999785550490321,
                0.9999930377454105,
                0.999993855826863,
                0.9999251537549879,
                0.9999687980960759,
                0.9997694932859883
            ],
            [
                0.9999962733593838,
                0.9999967112497588,
                0.9999982396559474,
                0.9999984465024306,
                0.9999724643056397,
                0.9999974387168734,
                0.999996711251719,
                0.9999987901338838,
                0.9999910603015663,
                0.9999967112505427
            ],
            [
                0.9999885212277695,
                0.999972464312192,
                0.9999810748517617,
                0.9999945777810304,
                0.9999945777816768,
                0.9999832985801483,
                0.999948557780254,
                0.999964643732451,
                0.9996200154269562,
                0.9999785550464791
            ],
            [
                0.9997388096604004,
                0.9997694931754488,
                0.9997694933402955,
                0.9990889486665749,
                0.9995694429124753,
                0.9993736657524801,
                0.9933071486794601,
                0.9995694429641303,
                0.9998204720125573,
                0.9998601778927362
            ],
            [
                0.9999938558253989,
                0.9999962733607163,
                0.9999984465020603,
                0.9999910603068949,
                0.999986992874641,
                0.9999980052705163,
                0.9999977396765107,
                0.9999980052707542,
                0.9999984465022455,
                0.9999945777810305
            ],
            [
                0.9998911030390449,
                0.9999810748540198,
                0.999964643757729,
                0.9999930377429206,
                0.9998601779594948,
                0.9999756997621702,
                0.9998766054694106,
                0.9999339478553573,
                0.9999785550439222,
                0.9999724643089064
            ],
            [
                0.9999646437535146,
                0.9999599362887237,
                0.9997965729783995,
                0.9999251537460211,
                0.9999546021367883,
                0.9999832985801479,
                0.9999599363221565,
                0.9999546021151535,
                0.9999038975965941,
                0.9999546021151355
            ],
            [
                0.9999151889183713,
                0.9999810748517645,
                0.9999945777829696,
                0.9997040429377564,
                0.9998766054699887,
                0.999986992873088,
                0.9999921107336531,
                0.9999910602994343,
                0.9998601779763335,
                0.9999724643089074
            ],
            [
                0.9999945777790913,
                0.9999885212305071,
                0.9999910603068933,
                0.9999852610145151,
                0.9999646437619387,
                0.9999756997563743,
                0.9999852610145155,
                0.9999756997592687,
                0.9999599362982768,
                0.9999646437366505
            ],
            [
                0.9999986290427931,
                0.9999967112513268,
                0.9999977396748938,
                0.9999991684720715,
                0.9999982396574163,
                0.9999952149055057,
                0.9999991684719723,
                0.9999980052707541,
                0.9999989322973846,
                0.9999977396757023
            ],
            [
                0.9999938558232012,
                0.9999989322972572,
                0.9999982396572065,
                0.9999989322967482,
                0.9999952149043647,
                0.9999970976866309,
                0.9999974387177893,
                0.9999977396751634,
                0.999997438717484,
                0.9999984465028011
            ],
            [
                1.0129993394129904e-05,
                4.785095064819011e-06,
                1.553497754583709e-06,
                2.9023133690637e-06,
                5.422220908876325e-06,
                1.9947301969707264e-06,
                2.2603234895053587e-06,
                6.962257078819179e-06,
                1.7603440527046419e-06,
                2.260325375634003e-06
            ],
            [
                0.9999885212359814,
                0.9999984465026158,
                0.999996711251327,
                0.9999974387168733,
                0.9999898700102295,
                0.9999987901346049,
                0.9999989322972572,
                0.9999977396748938,
                0.9999952149072168,
                0.9999957771670591
            ],
            [
                0.999997438716568,
                0.9999967112493665,
                0.9999885212346129,
                0.9999930377404326,
                0.9999977396748938,
                0.9999982396569966,
                0.9999980052707541,
                0.9999930377445815,
                0.9999984465018751,
                0.9999921107336531
            ],
            [
                0.9999952149055056,
                0.9999910603026312,
                0.9999977396762412,
                0.9999869928715381,
                0.9999987901341723,
                0.9999756997563826,
                0.9999952149072172,
                0.9999832985721865,
                0.9999986290424663,
                0.9999832985721872
            ],
            [
                0.9999810748495079,
                0.9999967112505427,
                0.9999898700126439,
                0.9999852610233015,
                0.999995214904935,
                0.9999962733616047,
                0.9999898700041907,
                0.9998766054253442,
                0.9999417087415015,
                0.9999832985801511
            ],
            [
                0.9997965730272278,
                0.9996646498925984,
                0.9998766053962047,
                0.9997388096919465,
                0.9996646497720446,
                0.9971990734139635,
                0.9988304894960106,
                0.9999546021259709,
                0.9991959138796905,
                0.9997040430093133
            ],
            [
                0.9999038976080374,
                0.9999832985841309,
                0.999925153772803,
                0.9999832985841286,
                0.9998766054105196,
                0.9998204719702113,
                0.9999485577924853,
                0.9999485577802376,
                0.9999339478395824,
                0.9999785550490348
            ],
            [
                0.9999962733589395,
                0.9999930377437518,
                0.9999974387184,
                0.999999352404893,
                0.9999962733593835,
                0.9999989322971299,
                0.9999986290432835,
                0.9999984465015047,
                0.9999957771670592,
                0.9999990577550691
            ],
            [
                0.9999986290432835,
                0.9999962733602719,
                0.9999930377412609,
                0.9999930377454113,
                0.9999885212264024,
                0.9999938558232017,
                0.9999930377454109,
                0.9999921107374166,
                0.9999885212359807,
                0.9999962733593833
            ],
            [
                0.9999952149043648,
                0.9999970976876691,
                0.9999987901346049,
                0.9999984465028011,
                0.9999995549150542,
                0.9999974387180949,
                0.9999982396567868,
                0.9999885212264037,
                0.9999986290424663,
                0.9999992661789321
            ],
            [
                0.9998204720341507,
                0.9999546021367883,
                0.9999485578047547,
                0.9999251537549951,
                0.9998601778761151,
                0.9999485577864,
                0.999915188928435,
                0.9997694933130513,
                0.9998204720558198,
                0.9999869928653343
            ],
            [
                0.9997965729546867,
                0.9999967112509347,
                0.9999910603068943,
                0.9999967112501505,
                0.9999910603004999,
                0.9999756997563787,
                0.9999756997621686,
                0.9999852610162758,
                0.9999930377454107,
                0.9999977396762411
            ],
            [
                0.9998766054403214,
                0.9999599363078385,
                0.9999832985741761,
                0.999964643741168,
                0.9999646437366535,
                0.9999687980774743,
                0.9991959139711655,
                0.9998204719490306,
                0.9998766054694448,
                0.9999930377412609
            ],
            [
                0.9999869928730875,
                0.9980732652986147,
                0.9999339478632303,
                0.9999599363078342,
                0.9998911030519949,
                0.9992903297206496,
                0.9998204720132102,
                0.9998601779597389,
                0.9996646498925984,
                0.9999251537817438
            ],
            [
                0.9999992661788445,
                0.9999974387187054,
                0.9999984465024306,
                0.9999987901341723,
                0.9999974387180949,
                0.9999977396759716,
                0.99999893229713,
                0.9999982396559474,
                0.9999994956525918,
                0.9999994956524114
            ],
            [
                0.9999970976887069,
                0.9999989322972573,
                0.9999485577986705,
                0.9999986290426297,
                0.9999982396569966,
                0.9999910603015666,
                0.9999957771675627,
                0.9999962733593835,
                0.9999990577556308,
                0.9999957771655489
            ],
            [
                0.9999417087484042,
                0.9999957771655489,
                0.9999962733616047,
                0.999997097688361,
                0.9999967112501505,
                0.9999982396567868,
                0.9999921107364748,
                0.9999982396565769,
                0.9999992661791944,
                0.9999921107402361
            ],
            [
                0.999998005269803,
                0.9999987901343165,
                0.9999987901337396,
                0.9999967112493667,
                0.9999994956525317,
                0.9999898700114366,
                0.9999980052700409,
                0.9999977396762412,
                0.9999994284997573,
                0.9999930377420914
            ],
            [
                0.9999687980811988,
                0.9999785550515924,
                0.9999038975852165,
                0.9998601778595165,
                0.9999930377445805,
                0.9999930377454109,
                0.999995777167059,
                0.9999485577863757,
                0.9993736659793219,
                0.9999921107364742
            ],
            [
                0.9997965729550982,
                0.9999599363078321,
                0.9999952149066464,
                0.9997965731000351,
                0.9998415638213696,
                0.9999967112501508,
                0.9999756997592832,
                0.9999930377412608,
                0.9999938558224694,
                0.9999930377445814
            ],
            [
                0.9999967112501507,
                0.9999885212318786,
                0.9999251537638956,
                0.9999810748472546,
                0.9999921107336536,
                0.9999785550413688,
                0.9999952149037942,
                0.9999869928668857,
                0.9999546021476133,
                0.9999952149043647
            ],
            [
                0.999991060302631,
                0.9999869928715378,
                0.9998204719915358,
                0.9999339478553524,
                0.9999785550413652,
                0.9998415637271383,
                0.9999898700041914,
                0.999891103116832,
                0.9999251537817307,
                0.9999810748562752
            ],
            [
                0.9999869928668853,
                0.9999485577741191,
                0.999933947823931,
                0.9999417087275694,
                0.9999546021368017,
                0.999975699747687,
                0.9999810748562726,
                0.99998526101803,
                0.9999785550592607,
                0.9999832985701943
            ],
            [
                0.999998446502801,
                0.9999977396765106,
                0.9999967112505425,
                0.9999869928699874,
                0.9999962733607161,
                0.9999921107364742,
                0.9999869928699859,
                0.9999339478238973,
                0.9999930377412607,
                0.9999970976876692
            ],
            [
                0.9999952149032243,
                0.9999996940977366,
                0.9999957771660524,
                0.9999990577549568,
                0.999997097687669,
                0.999998446502801,
                0.9999991684718732,
                0.9999989322975118,
                0.9999987901338838,
                0.9999974387184
            ],
            [
                0.9999599362887259,
                0.9999938558261308,
                0.9999785550413666,
                0.9999921107336535,
                0.9999938558246657,
                0.9997388095995501,
                0.9999810748427408,
                0.9999417087067041,
                0.9999930377454102,
                0.999088948786049
            ]
        ]
    },
    {
        "q_id": "10367_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            108,
            109,
            111,
            112,
            113,
            115,
            117,
            118,
            119,
            120,
            122,
            123,
            124,
            125,
            126,
            127,
            106,
            107,
            110,
            114,
            116,
            121
        ],
        "rewards": [
            [
                5.71500242637956e-07,
                1.7603427936183298e-06,
                8.31528424162821e-07,
                1.9947297214182054e-06,
                3.9278634073312583e-07,
                4.7850933535659155e-06,
                1.3709572068354007e-06,
                2.2603245673155757e-06,
                3.466327037512053e-07,
                1.2098652507715085e-06
            ],
            [
                0.9999980052702786,
                0.9999986290429567,
                0.99999862904312,
                0.9999991684722698,
                0.9999980052693275,
                0.9999930377445809,
                0.9999986290421395,
                0.9999970976873233,
                0.9999986290426298,
                0.9999970976883609
            ],
            [
                0.9999151889486606,
                0.999986992866886,
                0.999954602120542,
                0.9999599363173769,
                0.9980732653559253,
                0.9995121429736353,
                0.9999485577618527,
                0.9999599362982728,
                4.539788466243526e-05,
                0.9999251537550016
            ],
            [
                0.9953904268057383,
                0.5621765008857982,
                0.9998766054545571,
                0.9999038976194206,
                0.04208772566276722,
                0.9997694931764213,
                0.24508500761839525,
                0.24508501864634827,
                0.9998204719483776,
                0.5926665999540698
            ],
            [
                0.9999938558232017,
                0.9999869928668845,
                0.9999810748540172,
                0.9999970976880149,
                0.9999982396559473,
                0.9999994956525917,
                0.9999930377454104,
                0.9999938558275958,
                0.9999962733616048,
                0.9999910603015648
            ],
            [
                0.9999996533675028,
                0.9999998724809723,
                0.9999991684717741,
                0.9999998144609424,
                0.9999997897566589,
                0.9999997897565587,
                0.999999814460854,
                0.9999990577550691,
                0.9999997617629763,
                0.9999869928684358
            ],
            [
                0.9999982396561572,
                0.999999168471675,
                0.9999970976887068,
                0.9999982396559474,
                0.9999996940978825,
                0.9999962733593832,
                0.9999986290423031,
                0.999999730042126,
                0.9999980052700407,
                0.999998629042303
            ],
            [
                0.9999991684722698,
                0.9999995549150542,
                0.9999984465026159,
                0.9999982396569966,
                0.9999977396762411,
                0.9999991684721706,
                0.9999992661790196,
                0.9999993524052019,
                0.9999990577549568,
                0.9999993524054335
            ],
            [
                0.9999993524054335,
                0.9999938558246659,
                0.9999984465024306,
                0.9999967112513267,
                0.9999974387180947,
                0.999998790134028,
                0.9999986290424663,
                0.9999994284996891,
                0.999998005269803,
                0.9999967112513268
            ],
            [
                0.9999980052700408,
                0.9999980052698031,
                0.9999990577550693,
                0.9999991684718732,
                0.9999993524051246,
                0.9999994956527721,
                0.999999266178757,
                0.9999982396572065,
                0.9999989322967481,
                0.9999987901338838
            ],
            [
                0.9999998144608317,
                0.9999993524050474,
                0.9999984465022455,
                0.9999987901338839,
                0.9999921107392955,
                0.999997438717484,
                0.999999495652652,
                0.9999997300422225,
                0.9999989322970027,
                0.9999980052702785
            ],
            [
                0.9999980052695652,
                0.999999495652712,
                0.9999996533675028,
                0.9999996533675028,
                0.9999987901346049,
                0.9999987901337396,
                0.9999990577550691,
                0.999999352404893,
                0.9999974387187053,
                0.9999991684718732
            ],
            [
                0.9999962733602722,
                0.9999938558268642,
                0.9999974387187053,
                0.9999970976876691,
                0.9999952149049351,
                0.9999962733616046,
                0.9999952149032237,
                0.9999962733616056,
                0.9999962733607161,
                0.999996711249759
            ],
            [
                0.9999962733611601,
                0.9999994956527721,
                0.9999984465018751,
                0.9999996533672135,
                0.9999957771665555,
                0.9999996072137529,
                0.999999730042126,
                0.9999957771675624,
                0.9999996533672135,
                0.9999992661790195
            ],
            [
                0.9999952149072169,
                0.9999687980997952,
                0.9999980052698032,
                0.9999869928730909,
                0.999995777164543,
                0.9999970976887069,
                0.9999910603015691,
                0.9999910603068943,
                0.9999546021151431,
                0.9999869928730878
            ],
            [
                0.9999993524052019,
                0.9999980052695652,
                0.9999996533675028,
                0.9999993524049702,
                0.9999994956523514,
                0.9999993524052018,
                0.999999266178757,
                0.9999984465028011,
                0.9999993524049703,
                0.9999990577556308
            ],
            [
                0.9999994956524115,
                0.9999994284996211,
                0.9999974387168733,
                0.9999994284997573,
                0.9999980052705163,
                0.9999996072137061,
                0.999999694097773,
                0.9999997617631469,
                0.9999994956527121,
                0.9999994956527121
            ],
            [
                0.9999989322973846,
                0.9999967112513272,
                0.9999997300421581,
                0.9999989322966208,
                0.9999990577552939,
                0.9999994956527721,
                0.9999996533673375,
                0.999999266179107,
                0.9999996072136125,
                0.9999996940977002
            ],
            [
                0.0002959572387247301,
                2.9023112931873767e-06,
                0.9999251537911169,
                6.144175333401224e-06,
                0.9997388097536177,
                9.422442569208767e-07,
                5.043472879525233e-07,
                0.9999151889486958,
                0.9993736658235275,
                9.610244927358124e-05
            ],
            [
                0.9999810748495053,
                0.9998911030388207,
                0.9999852610110042,
                0.9999810748495038,
                0.9999852610197855,
                0.999959936307828,
                0.9999957771675624,
                0.9999151889688264,
                0.9999832985841309,
                0.9999885212264031
            ],
            [
                0.9999974387184011,
                0.9999984465018751,
                0.9999986290427932,
                0.9999910602994365,
                0.9999977396757023,
                0.9999980052695652,
                0.9999987901341724,
                0.9999986290432835,
                0.9999977396762415,
                0.9999977396765106
            ],
            [
                0.9999993524050474,
                0.9999967112505427,
                0.9999921107374145,
                0.9999982396572064,
                0.9999987901337396,
                0.9999987901343166,
                0.9999997617630332,
                0.9999945777803841,
                0.9999986290424663,
                0.9999993524050474
            ],
            [
                0.9999974387168733,
                0.9999962733598285,
                0.9999952149060758,
                0.9999810748472573,
                0.9999974387177893,
                0.9999417087067083,
                0.9999885212277709,
                0.9999810748472489,
                0.9999869928746385,
                0.9999984465022455
            ],
            [
                1.3007134664822509e-05,
                1.3007123812317831e-05,
                7.889261644760245e-06,
                0.9975273771075336,
                3.5356246476937965e-05,
                0.9940889317977284,
                4.006368262300812e-05,
                1.0129989771657269e-05,
                5.1442225903808436e-05,
                1.300712536258383e-05
            ],
            [
                0.9999982396572065,
                0.9999938558246657,
                0.9999977396759716,
                0.9999986290424664,
                0.9999986290423029,
                0.9999986290424663,
                0.9999989322975118,
                0.9999962733593833,
                0.9999982396561572,
                0.9999986290421394
            ],
            [
                0.9999984465016899,
                0.9999996072137529,
                0.9999993524052019,
                0.9999852610233015,
                0.9999984465016899,
                0.9999984465020603,
                0.9999974387180947,
                0.9999990577550691,
                0.9999967112497589,
                0.9999990577549568
            ],
            [
                0.9999994956523514,
                0.9999962733620489,
                0.9999945777790987,
                0.9999993524049702,
                0.9999991684722697,
                0.9999990577554061,
                0.9999992661788445,
                0.9999989322973845,
                0.9999996533672962,
                0.9999993524054334
            ],
            [
                0.9999982396567867,
                0.999998005269803,
                0.9999970976880148,
                0.9999980052700407,
                0.9999989322972573,
                0.9999967112501507,
                0.9999957771645421,
                0.9999986290423029,
                0.9999962733611603,
                0.9999986290427931
            ],
            [
                0.9997040428312477,
                0.993307150459512,
                0.9998204719482471,
                0.9999417087414243,
                0.9989677689255516,
                0.9996200155158589,
                0.9996200154696498,
                0.9975273773538992,
                0.9986749775245566,
                0.9971990728852574
            ],
            [
                0.9999945777829702,
                0.9999967112517187,
                0.9999957771660521,
                0.9999970976890528,
                0.9999992661790196,
                0.9999980052709919,
                0.9999810748540188,
                0.9999898700126431,
                0.999997438717484,
                0.9999970976890528
            ],
            [
                0.9999984465024306,
                0.9999994956525918,
                0.9999986290427931,
                0.9999989322970027,
                0.9999996533674201,
                0.9999967112493667,
                0.9999991684720715,
                0.9999994284996891,
                0.9999984465022455,
                0.9999994284996211
            ],
            [
                0.999999352404893,
                0.9999990577550691,
                0.999998446502801,
                0.9999996072137061,
                0.9999987901337396,
                0.9999987901347491,
                0.9999957771675626,
                0.9999986290424663,
                0.9999995549149481,
                0.9999996533674202
            ],
            [
                8.315282259051341e-07,
                2.10243290909724e-07,
                3.466325384661554e-07,
                2.1024334103553052e-07,
                1.2098659718990333e-06,
                3.059022269250683e-07,
                3.9278610661822475e-07,
                2.6995784182073116e-07,
                1.3709573702566696e-06,
                3.927862939113312e-07
            ],
            [
                0.9999990577552937,
                0.9999980052700408,
                0.9999989322971301,
                0.9999957771675624,
                0.9999986290429567,
                0.9999995549150011,
                0.9999974387187054,
                0.9999980052709919,
                0.999999352404893,
                0.9999992661792819
            ],
            [
                0.999997097686977,
                0.9999982396561573,
                0.9999982396565769,
                0.9999987901344607,
                0.9999982396565769,
                0.9999993524049703,
                0.9999986290421394,
                0.999997097686977,
                0.9999982396563671,
                0.9999974387187053
            ],
            [
                3.4663253846473677e-07,
                4.450852111135988e-07,
                7.889260704050487e-06,
                2.561281905376098e-06,
                1.3709573702722555e-06,
                3.466326211105621e-07,
                0.9984988175666708,
                7.338212429562581e-07,
                9.422443692527585e-07,
                6.475947981975644e-07
            ],
            [
                0.9999993524052018,
                0.9999998724810027,
                0.9999996940976636,
                0.9999998362622552,
                0.9999994284993485,
                0.9859363733183346,
                0.9999994956524716,
                0.9999994284997574,
                0.9999994956523514,
                0.9999996940978825
            ],
            [
                0.9980732654324886,
                4.539785238918559e-05,
                0.99990389756239,
                0.9975273766257136,
                0.04742587385075148,
                0.0015011824792222996,
                0.009708477412684076,
                0.060086649332446,
                0.24508502416032488,
                0.00033535026836770896
            ],
            [
                0.9999992661791944,
                0.9999982396565769,
                0.9999996072136592,
                0.9999996072138934,
                0.9999997617631183,
                0.9999998362623137,
                0.9999997300422547,
                0.9999997300420937,
                0.9999998555019618,
                0.9999996533672962
            ],
            [
                1.4738976699106073e-05,
                2.430023493052066e-05,
                3.927862470816829e-07,
                1.0129994599624903e-05,
                1.3007128462477575e-05,
                3.120190016685757e-05,
                7.889266347133978e-06,
                2.430024651882284e-05,
                2.4300234929636645e-05,
                1.4738987238035806e-05
            ],
            [
                0.9999987901347492,
                0.9999945777790916,
                0.9999987901347492,
                0.9999990577549568,
                0.9999945777790913,
                0.9999994284996891,
                0.9999962733602719,
                0.9999987901338838,
                0.9999982396563669,
                0.9999992661786696
            ],
            [
                0.9999038976079563,
                0.9989677688184727,
                0.9986749774829634,
                0.9999038975622977,
                0.9999038975966046,
                0.9999952149037942,
                0.9998766054413124,
                0.9997040429115879,
                0.999860177875871,
                0.9999038975419714
            ],
            [
                0.9991959142444211,
                0.9999151889285072,
                0.9984988177286052,
                0.6513548714339144,
                0.01798620686955254,
                0.998830489622889,
                0.9984988180397355,
                0.10669059536584675,
                0.9998601778930861,
                0.9998415637269378
            ],
            [
                0.999995777164542,
                0.9999910603015656,
                0.9999995549147358,
                0.9999984465026159,
                0.9999990577554061,
                0.9999991684715759,
                0.9999974387187053,
                0.9999986290426298,
                0.9999992661787571,
                0.9999994284992805
            ],
            [
                0.9999993524050474,
                0.9999998724810027,
                0.9999994956523514,
                0.9999992661791071,
                0.9999957771675624,
                0.9999994956527722,
                0.9999994956524716,
                0.9999989322966208,
                0.9999996533674615,
                0.9999997300421903
            ],
            [
                0.9999982396574163,
                0.9999984465024307,
                0.9999995549150011,
                0.999999266178932,
                0.9999982396565769,
                0.9999987901341723,
                0.9999952149049358,
                0.9999967112493664,
                0.9999974387187054,
                0.9999945777797378
            ],
            [
                0.9999957771675624,
                0.9999987901343165,
                0.9999989322972572,
                0.9999993524052789,
                0.9999986290427931,
                0.9999967112493665,
                0.9999989322966208,
                0.999998446502801,
                2.430024649115313e-05,
                0.9999989322970028
            ],
            [
                0.9999756997476854,
                0.999995214903224,
                0.679178686187839,
                0.9999869928699862,
                0.9997694932586367,
                0.9999982396565769,
                0.999997097686631,
                0.9978172840272663,
                0.9999251537817047,
                0.9995121428928001
            ],
            [
                0.9999990577554062,
                0.999999168471675,
                0.999998239656367,
                0.99999862904312,
                0.9999977396765106,
                0.9999993524050474,
                0.9999990577554061,
                0.9999910603047617,
                0.9999986290426297,
                0.9999987901338838
            ],
            [
                0.9999989322968754,
                0.9999991684719723,
                0.9999996072137998,
                0.9999980052700408,
                0.9999994284992805,
                0.9999984465026158,
                0.999995214906076,
                0.9999992661787571,
                0.9998415638026308,
                0.9999994956524114
            ],
            [
                0.9999994284996891,
                0.9999967112497584,
                0.9999989322966208,
                0.9999993524051246,
                0.9999987901343165,
                0.9999974387177893,
                0.9999977396754328,
                0.9999987901341723,
                0.9999995549147359,
                0.9999994284994848
            ],
            [
                0.999991060305828,
                0.9999898700114358,
                0.999948557774109,
                0.9999970976883608,
                0.9999832985761683,
                0.999991060305831,
                0.9999910603026312,
                0.9999930377429206,
                0.9999832985801526,
                0.9999974387171787
            ],
            [
                0.9995694428195989,
                0.9999756997476829,
                0.999994577780384,
                0.9999869928761894,
                0.9999646437408679,
                0.999290329625543,
                0.9999930377445814,
                0.9999756997505803,
                0.29421497216298875,
                0.9999485577924913
            ],
            [
                0.9999987901337396,
                0.9999990577554062,
                0.9999986290424665,
                0.9999991684715758,
                0.9999980052707541,
                0.9999982396561572,
                0.9999994956525918,
                0.999999352405279,
                0.9999984465022455,
                0.9999992661786696
            ],
            [
                0.9999998555019618,
                0.9999991684720715,
                0.9999990577556308,
                0.9999993524048931,
                0.9999986290426298,
                0.9999995549150542,
                0.9999991684722698,
                0.9999994284992805,
                0.9999995549150011,
                0.9999996533675028
            ],
            [
                0.999999057755743,
                0.9999991684717742,
                0.9999962733598275,
                0.9999991684720715,
                0.9999952149037942,
                0.9999921107355351,
                0.9999990577550693,
                0.9999938558246665,
                0.9999994956524114,
                0.9999952149032241
            ],
            [
                0.9999938558239333,
                0.9999687980960696,
                0.9999724642990595,
                0.9999485577925392,
                0.9999885212332433,
                0.9999869928684348,
                0.9999756997650724,
                0.9999921107355337,
                0.999841563745393,
                0.9999546021097124
            ],
            [
                0.9997388095665523,
                0.999925153772803,
                0.9998415638215402,
                0.9999339478396165,
                0.999933947823881,
                0.9999151889384686,
                0.8807970873650401,
                0.999959936312681,
                0.18242552380635635,
                0.9999869928761876
            ],
            [
                0.9999957771675662,
                0.9999982396574163,
                0.999998629042303,
                0.9999992661788446,
                0.9999982396574163,
                0.998498817899439,
                0.9999910603068967,
                0.9999991684722698,
                0.9999994956527722,
                0.9999989322972572
            ],
            [
                0.1329642316084462,
                0.9993736658266609,
                0.00010889693501231766,
                0.9959298618518455,
                0.9991959140846673,
                0.9959298628711447,
                0.22270014914315836,
                0.006692852459773374,
                0.9994472214512541,
                0.9964063968108169
            ],
            [
                0.9999417087484737,
                0.9997388096623231,
                0.9999417087414523,
                0.9998766054546542,
                0.9996200155181473,
                0.9999546021313848,
                0.9989677688290366,
                0.999985261011005,
                0.9999869928746405,
                0.9996200154729662
            ],
            [
                0.9999987901347492,
                0.9999994284996891,
                0.999999730042126,
                0.9999992661788446,
                0.9999986290426297,
                0.9999993524051246,
                0.999999352405279,
                0.9999977396751633,
                0.9999997300422547,
                0.999998446502616
            ],
            [
                0.9999991684719723,
                0.9999996072138934,
                0.9999986290421395,
                0.9999987901337397,
                0.9999984465024306,
                0.9999986290429566,
                0.9999987901344608,
                0.9999991684720715,
                0.0040701371024289635,
                0.9999991684719723
            ],
            [
                0.999999730042126,
                0.9999980052707541,
                0.9999986290426298,
                0.9999996072137998,
                0.9999996072139402,
                0.9999991684719723,
                0.9999990577549568,
                0.9999986290429566,
                0.9999977396748938,
                0.9999996072136592
            ],
            [
                0.9999952149049351,
                0.9999962733602716,
                0.9999967112521109,
                0.9999974387168733,
                0.999997438716568,
                0.9999546021367831,
                0.9999974387180948,
                0.9999921107345933,
                0.9999974387180947,
                0.999997438716568
            ],
            [
                0.9999982396574163,
                0.9999991684719723,
                0.9999980052695652,
                0.9999996072137529,
                0.9999970976873231,
                0.9999986290423029,
                0.9999989322975118,
                0.9999984465015047,
                0.9999962733616046,
                0.9999962733611601
            ],
            [
                0.9999938558253981,
                0.9999938558239364,
                0.9999991684719723,
                0.9999930377462402,
                0.999997097686631,
                0.9999898700053976,
                0.9999982396561572,
                0.9999921107336528,
                0.9999938558261307,
                0.9999967112521109
            ],
            [
                0.9996646500152498,
                0.9995121428497145,
                0.9988304896560705,
                0.07585818785594477,
                0.9998911030392508,
                0.9999417087275244,
                0.9933071490230876,
                0.9998911030526794,
                0.9840936085797521,
                0.9997388096729778
            ],
            [
                0.9999987901344607,
                0.9999996533673375,
                0.9999994284994167,
                0.9999987901344607,
                0.9999996940976271,
                0.999999554915001,
                0.999998446502801,
                0.9999996072137529,
                0.9999996072138465,
                0.9999995549150011
            ],
            [
                0.9999977396759716,
                0.9999986290421394,
                0.9999938558239332,
                0.9999994956523514,
                0.9999990577555185,
                0.9999982396567867,
                0.9999992661792819,
                0.9999756997563856,
                0.9999967112501512,
                0.9999967112501504
            ],
            [
                0.9999990577550691,
                0.9999990577551815,
                0.9999989322968753,
                0.999992110740237,
                0.9999994956523512,
                0.999999694097773,
                0.9999986290424663,
                0.9999852610127589,
                0.9999994284996211,
                0.9999984465024306
            ],
            [
                3.92786340734912e-07,
                1.4449800373118268e-07,
                2.102434162245973e-07,
                1.6373776432481905e-07,
                1.1253521571574156e-07,
                3.927862002663297e-07,
                5.715003789033962e-07,
                5.715003789017068e-07,
                6.475949525981759e-07,
                1.855391239544352e-07
            ],
            [
                0.999999352404893,
                0.9999998362623137,
                0.9999995549147358,
                0.9999996072136125,
                0.9999995549147359,
                0.9999995549151073,
                0.9999997617631752,
                0.9999995549147358,
                0.9999994284993485,
                0.9999994956526519
            ],
            [
                0.9999996533673788,
                0.9999997300421581,
                0.9999996072136125,
                0.9999997300420939,
                0.9999997897565838,
                0.99999976176309,
                0.9999997300420937,
                0.9999996940977731,
                0.9999996940978095,
                0.9999994956523514
            ],
            [
                0.9999991684716749,
                0.9999990577550691,
                0.9999984465016899,
                0.9999980052700415,
                0.9999990577555185,
                0.9999996940976636,
                0.9999980052707541,
                0.9995121428279445,
                0.9999945777803841,
                0.9999974387171787
            ],
            [
                0.9999962733611605,
                0.9999986290432835,
                0.9999994284996893,
                0.9999994284997573,
                0.999999730042319,
                0.9999984465015047,
                0.9999957771650454,
                0.9999957771645421,
                0.9999982396574163,
                0.9999962733616046
            ],
            [
                0.999999168471675,
                0.9999987901347491,
                0.999999495652652,
                0.9999995549151073,
                0.9999990577557432,
                0.9999994284993486,
                0.9999993524051246,
                0.9999994284997574,
                0.9999994284996893,
                0.99999862904312
            ],
            [
                0.9999989322973845,
                0.9999952149043647,
                0.9999987901344607,
                0.9999991684722697,
                0.9999995549147359,
                0.9999986290421394,
                0.9999994956524716,
                0.9999993524052018,
                0.999999554914895,
                0.9999984465022455
            ],
            [
                0.9999990577551815,
                0.9999994284997573,
                0.9999994284992805,
                0.9999992661791945,
                0.9999990577554061,
                0.999999352404893,
                0.9999986290421394,
                0.9999996072136592,
                0.9999987901344607,
                0.9999991684720715
            ],
            [
                1.012998735462479e-05,
                0.999941708741714,
                2.430024359741423e-05,
                0.00015843625260839557,
                0.9999869928762511,
                0.9993736659260909,
                0.9999038976198575,
                0.997199073646126,
                0.00026119036687474403,
                0.004070137436532608
            ],
            [
                0.9999987901341723,
                0.9999967112497585,
                0.9999982396565771,
                0.9999989322975118,
                0.9999982396574163,
                0.9999987901347491,
                0.9999962733598274,
                0.9999967112517191,
                0.999991060301566,
                0.9999957771655489
            ],
            [
                6.475951069855719e-07,
                1.4449795205457127e-07,
                1.6373772528677946e-07,
                3.466327037539638e-07,
                3.466325797888292e-07,
                6.475948753991907e-07,
                5.71500651413193e-07,
                5.04347348075149e-07,
                3.927862470890063e-07,
                6.475947210012481e-07
            ],
            [
                3.2887486723295965e-06,
                6.475948753741589e-07,
                3.9278610661545617e-07,
                2.902313023039776e-06,
                8.315279285351409e-07,
                4.450852641717689e-07,
                6.1441760661636525e-06,
                1.994730434816876e-06,
                1.553497754577351e-06,
                1.0677028700363782e-06
            ],
            [
                0.9999996072137061,
                0.9999996533673788,
                0.9999994956525918,
                0.9999986290427931,
                0.9999930377420906,
                0.9999994956527121,
                0.9999996533675028,
                0.9999993524052018,
                0.9999995549150011,
                0.9999996940977731
            ],
            [
                0.9999952149066462,
                0.9999962733589389,
                0.9999898700126428,
                0.9999810748540172,
                0.9999251537638628,
                0.9999930377437508,
                0.9999945777816768,
                0.9999910603068934,
                0.999997438717484,
                0.9999930377420904
            ],
            [
                0.9999921107355355,
                0.9999832985721847,
                0.9998204720984661,
                0.9999756997477264,
                0.999978555054146,
                0.9999885212305066,
                0.9999785550413746,
                0.4687906266262437,
                0.9999485577680322,
                0.9999910603058293
            ],
            [
                0.999999694097846,
                0.9999993524054334,
                0.9999992661788446,
                0.999999495652652,
                0.9999974387187053,
                0.9999977396748938,
                0.999998790134605,
                0.9999996940976636,
                0.9999984465020603,
                0.9999994956526519
            ],
            [
                4.450852641717689e-07,
                2.6995784182140636e-07,
                5.043474683204221e-07,
                1.8553907971682908e-07,
                1.067702870039777e-06,
                2.6995784182140636e-07,
                1.444980381819277e-07,
                3.4663257978638593e-07,
                7.338207180838067e-07,
                5.04347528446051e-07
            ],
            [
                0.9999991684716749,
                0.9999997617630616,
                0.9999996533672962,
                0.999999057755743,
                0.9999997300421581,
                0.9999991684715758,
                0.9999977396757022,
                0.999999554914895,
                0.9999977396759716,
                0.9999994284995529
            ],
            [
                0.9999995549147889,
                0.9999986290429566,
                0.999999789756684,
                0.9999989322968754,
                0.9999994956527121,
                0.9999994956525918,
                0.999998629042303,
                0.9999992661787571,
                0.9999998144608981,
                0.9999994956524716
            ],
            [
                0.9999992661788446,
                0.9999987901341725,
                0.9999687980997877,
                0.9999995549149481,
                0.9999982396574163,
                0.9999996072139402,
                0.9999984465018751,
                0.9999986290431201,
                0.9999986290421394,
                0.999997438717484
            ],
            [
                0.9978172831302171,
                0.9924227602273616,
                0.9986749778765573,
                0.9978172834882255,
                0.9989677690391127,
                0.9990889488700253,
                5.1442195225848094e-05,
                0.9984988180493329,
                0.0003353500303725043,
                0.9984988174394616
            ],
            [
                0.9999996533675028,
                0.9999984465018751,
                0.999999352405279,
                0.9999992661788445,
                0.9999994956527121,
                0.9999996072136592,
                0.9999599363173673,
                0.9999989322973846,
                0.9999982396569966,
                0.9999992661788445
            ],
            [
                0.9999945777829695,
                0.9999989322972573,
                0.999997438718095,
                0.9999990577550691,
                0.9999986290431201,
                0.9999992661789321,
                0.9999992661792819,
                0.9999982396561572,
                0.9999994956527721,
                0.99990389759675
            ],
            [
                0.9999997617630617,
                0.9999995549150541,
                0.9999982396572065,
                0.9999996940977731,
                0.9999994284997573,
                0.9999996533672549,
                0.9999994284994848,
                0.9999996940978461,
                0.9999996072138465,
                0.9999989322968754
            ],
            [
                0.9999984465024306,
                0.9999945777829694,
                0.9999990577552937,
                0.9999989322973845,
                0.9999986290432836,
                0.9999987901337396,
                0.9999986290426297,
                0.9999992661786695,
                0.9999869928684368,
                0.9999993524051246
            ],
            [
                0.9999982396561574,
                0.9999995549147359,
                0.9999990577550691,
                0.9999993524054335,
                0.9999869928730871,
                0.9999997897567091,
                0.9999994284995529,
                0.999999266178932,
                0.999999495652652,
                0.999999266179107
            ],
            [
                0.9999984465018751,
                0.9999991684717741,
                0.999988521234614,
                0.9999977396754332,
                0.9999980052695653,
                0.9999980052693275,
                0.9999967112497589,
                0.9999986290427931,
                0.9999990577549568,
                0.9999977396759717
            ],
            [
                0.9999998555019618,
                0.9999994956525918,
                0.9999994956526519,
                0.9999970976866309,
                0.9999984465028011,
                0.9999993524052019,
                0.9999974387180947,
                0.9999992661788445,
                0.9999996072136125,
                0.9999994284997573
            ],
            [
                0.9999991684720715,
                0.9999995549150542,
                0.9999996533672549,
                0.9999967112493665,
                0.9999997617630049,
                0.9999996533672962,
                0.9999996072138465,
                0.9999993524054334,
                0.9999998724810027,
                0.9999996072136125
            ],
            [
                0.9999984465026158,
                0.9999989322970027,
                0.9999997300421903,
                0.9999990577556308,
                0.9999984465016898,
                0.9999994284994848,
                0.9999994956525918,
                0.9999984465024306,
                0.999996273360272,
                0.9999989322975118
            ],
            [
                0.9999417087492934,
                0.9999852610127582,
                0.9993736659210266,
                0.9999756997679626,
                0.9999832985781717,
                0.13296424706933604,
                0.9997040429714769,
                0.9999938558253983,
                0.9998415637836937,
                0.9999724642990617
            ],
            [
                0.9999980052707541,
                0.9999957771675626,
                0.999998446502801,
                0.9999984465022455,
                0.9999980052707541,
                0.9999952149049351,
                0.9999930377437506,
                0.9999967112493665,
                0.9999967112501507,
                0.9999989322975118
            ],
            [
                0.0004305570783686052,
                9.610240246834618e-05,
                7.48462002744981e-05,
                1.892515725920463e-05,
                1.8925145981283003e-05,
                2.7535697619320912e-05,
                0.0005527787106301192,
                0.00010889688264030119,
                0.00010889689571706196,
                7.484624503218738e-05
            ],
            [
                0.9999996533672962,
                0.9999998724809723,
                0.9999989322966208,
                0.9999994284997573,
                0.999997097686977,
                0.9999997300422547,
                0.999999855501979,
                0.9999987901341723,
                0.9999992661786696,
                0.999999428499553
            ],
            [
                0.9999967112501508,
                0.9999990577550691,
                0.9999980052707541,
                0.9999990577552939,
                0.9999992661786696,
                0.9999980052705163,
                0.9999986290429566,
                0.9999957771660521,
                0.9999994284995529,
                0.9999991684721706
            ],
            [
                0.9999990577552939,
                0.9999991684722698,
                0.9999974387184,
                0.999993037745411,
                0.9999989322970028,
                0.9999974387165683,
                0.9999938558268661,
                0.99999893229713,
                0.9999974387187055,
                0.9999970976866309
            ],
            [
                0.9999984465024306,
                0.9999974387180947,
                0.9999984465022455,
                0.9999938558253982,
                0.999998239656367,
                0.999998446502801,
                0.9999974387168732,
                0.9999885212318744,
                0.9999980052702786,
                0.9999980052709924
            ],
            [
                0.9999993524051246,
                0.9999992661788445,
                0.9999977396765105,
                0.9999993524051246,
                5.8291251564902706e-05,
                0.9999982396572065,
                0.9999994284995529,
                0.9999986290432835,
                0.99999893229713,
                0.9999987901343166
            ],
            [
                0.9999980052695652,
                0.9999957771670593,
                0.999993855826131,
                0.9999417087136605,
                0.9997040428658723,
                0.5926665999540698,
                0.16451646494473965,
                0.9999990577550691,
                0.9999986290421394,
                0.9999957771680659
            ],
            [
                0.999981074858588,
                0.9953904280599255,
                0.9999646437619825,
                0.999933947831781,
                0.9999724642990531,
                0.9999646437619418,
                0.9999756997505845,
                0.9999687980849129,
                0.999985261023306,
                0.9999417087345216
            ],
            [
                0.9999996533672135,
                0.9999994284995529,
                0.9999992661791944,
                0.9999996940978461,
                0.9999991684721706,
                0.999999266178757,
                0.9999996072137529,
                0.9999994956525917,
                0.9999994284992805,
                0.9999989322967482
            ],
            [
                0.9999885212305064,
                0.9999967112521111,
                0.9999987901337397,
                0.9999869928746383,
                0.9999982396572065,
                0.9999599363126778,
                0.9999989322972572,
                0.9999945777829702,
                0.9999984465015046,
                0.9999945777803839
            ],
            [
                0.998967768946079,
                0.9995121427655299,
                0.00013982207115131735,
                9.422448185187191e-07,
                6.962255418658875e-06,
                0.00037998456850031875,
                0.999841563840362,
                4.222832437186393e-06,
                6.60521754346649e-05,
                4.222834953520201e-06
            ],
            [
                0.9999997300422547,
                0.9999996533673375,
                0.9999996940976636,
                0.9999991684722698,
                0.9999996072138465,
                0.9999997300422869,
                0.9999994284994849,
                0.9999991684720715,
                0.9999992661790195,
                0.9999996533672136
            ],
            [
                0.9999921107402361,
                0.9999986290426297,
                0.9999991684719723,
                0.9999989322967481,
                0.9999990577552939,
                0.9999987901347491,
                0.9999990577552939,
                0.9999990577552939,
                0.9999957771660523,
                0.9999993524053562
            ],
            [
                0.999999266178757,
                0.9999967112493665,
                0.9999967112493664,
                0.9999990577549568,
                0.9999980052693274,
                0.999992110737415,
                0.9999996940978095,
                0.9999987901344608,
                0.9999962733593831,
                0.9999977396757022
            ],
            [
                0.9999962733611605,
                0.9999974387168733,
                0.9999910603068934,
                0.9999977396765105,
                0.9999417087206125,
                0.9999962733593831,
                0.999998446502801,
                0.9999885212359814,
                0.9999852610145143,
                0.9999970976876691
            ],
            [
                0.9995121429055726,
                0.00023050665769905898,
                0.9996646499304641,
                0.9978172831636853,
                0.00043055706679507574,
                5.829129301729504e-05,
                0.00029595712560283197,
                0.9999417087067299,
                7.889260703619978e-06,
                0.00029595712284733225
            ],
            [
                0.9999885212346126,
                0.9999485577802218,
                0.9999852610145168,
                0.9999339478238508,
                0.9999810748450044,
                0.9999724643187513,
                0.9999885212318752,
                0.9978172831890401,
                0.9999038975507998,
                0.9997694933401279
            ],
            [
                0.9999974387177893,
                0.9978172839375108,
                0.999997438716568,
                0.9999977396759723,
                0.9999957771675623,
                0.999995777164542,
                0.9999952149060758,
                0.9999967112505427,
                0.9999832985701949,
                0.9999980052702787
            ],
            [
                7.338213304196583e-07,
                8.315278294038928e-07,
                1.994729721436347e-06,
                1.3709575337016483e-06,
                1.994730196381114e-06,
                3.059023727894942e-07,
                6.475948753965404e-07,
                8.315282259089153e-07,
                9.422445938964242e-07,
                2.382368815916736e-07
            ],
            [
                0.9999251537995278,
                0.999981074858559,
                0.025957355314023944,
                0.9999687980774961,
                0.9996200155676838,
                0.9996646498121056,
                0.9998204719704961,
                0.9999599362887367,
                0.10669059323555341,
                0.9999687980811937
            ],
            [
                0.999620015562068,
                0.9992903296756556,
                0.9998766054105537,
                0.9995694430133554,
                0.9999038975507067,
                0.9994472214562065,
                0.9994472214563673,
                0.9995121429415057,
                0.24508501313237172,
                0.9998204719716585
            ],
            [
                0.9991959139017175,
                0.9980732652677208,
                0.957912274787803,
                0.9840936085797521,
                0.9933071496484275,
                0.9998415638408069,
                0.9999251537756543,
                0.9914225141031751,
                0.9959298618235315,
                0.9996200154712528
            ],
            [
                0.00010889694758046453,
                4.0063706494441236e-05,
                8.939696303758459e-06,
                3.1201926241089315e-05,
                4.539785234013636e-05,
                1.30071315640992e-05,
                0.9626731087738417,
                1.4738983726908257e-05,
                8.481104125710667e-05,
                0.00023050663042136502
            ],
            [
                0.9999993524053562,
                0.9999982396574163,
                0.9999982396561571,
                0.9999962733607166,
                0.9999986290431201,
                0.999998446502801,
                0.9999990577556307,
                0.999999266179107,
                0.9999989322972572,
                0.9999977396759716
            ],
            [
                1.7603440527046419e-06,
                1.3709567165461505e-06,
                2.561282210729555e-06,
                5.422220262333096e-06,
                8.315283250260307e-07,
                2.260323489490968e-06,
                2.260325375650449e-06,
                1.5534973842030142e-06,
                1.2098659719601033e-06,
                1.553497384196656e-06
            ]
        ]
    },
    {
        "q_id": "10366_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            49,
            50,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            14,
            38,
            48,
            51
        ],
        "rewards": [
            [
                0.9978172834527289,
                3.535625913039018e-05,
                3.5356254914330094e-05,
                4.539788481371178e-05,
                5.144220132535887e-05,
                2.7535697655983693e-05,
                1.3007126909159127e-05,
                3.5356259116499136e-05,
                7.484621826273621e-05,
                1.6701417858577338e-05
            ],
            [
                0.9999687980998373,
                0.9999852610197921,
                0.9999898700054018,
                0.9999646437620014,
                0.9998766053963807,
                0.9999756997506027,
                0.9999417087276202,
                0.9999945777797384,
                0.9997965730277694,
                0.999978555056715
            ],
            [
                3.535623804803683e-05,
                2.4300246512104316e-05,
                1.3007133115667397e-05,
                3.535626333088765e-05,
                4.539786858947248e-05,
                2.144494840531103e-05,
                1.4738980208864656e-05,
                7.484622710602007e-05,
                1.8925143725892257e-05,
                4.0063692137387875e-05
            ],
            [
                2.7535691083329963e-05,
                1.3007125359413455e-05,
                1.0129992186589747e-05,
                6.9622562489985925e-06,
                4.22283294025486e-06,
                4.222833443891798e-06,
                1.3007130011300897e-05,
                1.8925150487521332e-05,
                4.539785238142359e-05,
                2.7535684514885004e-05
            ],
            [
                0.9999599363078577,
                0.9999646437409038,
                0.9999810748450142,
                0.999959936317424,
                0.9999339478554764,
                0.9999810748540267,
                0.9999485577741841,
                0.9999687980887039,
                0.9995694428667071,
                0.9999724643056717
            ],
            [
                0.9999546021476413,
                0.9999832985702012,
                0.9999832985741806,
                0.9999852610233028,
                0.9998204719503497,
                0.999964643757745,
                0.9999339478712346,
                0.9997694932328883,
                0.9998601778773581,
                0.999989870004194
            ],
            [
                0.9996200155206014,
                0.9999038976196576,
                0.999704042871478,
                0.9996646497786694,
                0.9999921107336547,
                0.9999646437451138,
                0.9999724643023645,
                0.999988521227774,
                0.9998766053667367,
                0.9975273773866331
            ],
            [
                0.999933947871261,
                0.999983298582147,
                0.9999885212291424,
                0.9999869928746454,
                0.9999921107364751,
                0.999992110734595,
                0.999876605470197,
                0.9999938558261336,
                0.9999910602994353,
                0.9999869928746445
            ],
            [
                0.9999885212318786,
                0.9902915247541698,
                0.9999885212318793,
                0.9999910602994367,
                0.9999724642958047,
                0.9997694933433942,
                0.9996200155233099,
                0.999620015570547,
                0.9998204720357545,
                0.9996646498184767
            ],
            [
                0.9999417087206391,
                0.9999910603015741,
                0.9999251537997172,
                0.999569442923911,
                0.9999546021368376,
                0.99829927766308,
                0.9999646437619918,
                0.9998766054695668,
                0.9999546021422655,
                0.999841563840929
            ],
            [
                0.9999869928699925,
                0.9998601779441758,
                0.9996200155202145,
                0.9998415637665915,
                0.9999921107336548,
                0.9999251537643344,
                0.9999485577989464,
                0.9997965730045953,
                0.9999910603005058,
                0.9999938558268644
            ],
            [
                0.9999646437324665,
                0.9997388097251114,
                0.9998766054702402,
                0.9999898700102311,
                0.9999869928730897,
                0.9933071504254588,
                0.9999485577864269,
                0.9999785550413784,
                0.9999687980923798,
                0.9996200155752453
            ],
            [
                0.9998766054120996,
                0.9999885212346152,
                0.9999756997650872,
                0.9999967112501529,
                0.9999832985761841,
                0.999993855825399,
                0.9999339478320428,
                0.99998852123051,
                0.9997388097242527,
                0.9999921107374157
            ],
            [
                0.9997694933716712,
                0.9999832985821517,
                0.9999756997477038,
                0.9999921107355365,
                0.9999646437535561,
                0.9999832985801568,
                0.9999930377445825,
                0.9999687980886555,
                0.9999687980737874,
                0.9999646437493943
            ],
            [
                0.9999810748540314,
                8.481104119602078e-05,
                0.9998415638405372,
                0.9999038975512032,
                0.9999687980849562,
                0.9999832985781624,
                0.9999832985702152,
                0.9999546021098021,
                0.9999687980998182,
                0.9999724643023675
            ],
            [
                0.9998766054113974,
                0.9999921107402387,
                0.9999898700114392,
                0.9999921107392981,
                0.9998601779104395,
                0.9999952149066473,
                0.9999546021098557,
                0.9999930377420918,
                0.999664649816779,
                0.9999832985821797
            ],
            [
                0.9999885212318825,
                0.9999852610198481,
                0.9999910603036986,
                0.999933947871197,
                0.9999339478633558,
                0.9997965730304923,
                0.9998766054256925,
                0.9999832985761808,
                0.9999832985761824,
                0.9999885212359844
            ],
            [
                0.9999930377445815,
                0.9999832985721908,
                0.9996646498991744,
                0.9999945777803851,
                0.9999869928761964,
                0.9999957771665567,
                0.9999921107345979,
                0.9997965730794803,
                0.9999945777810321,
                0.9999952149060763
            ],
            [
                0.9998415638049867,
                0.9999921107355353,
                0.9996646497765717,
                0.9997040427999299,
                0.9999724643056453,
                0.9999151889891562,
                0.9999945777803843,
                0.9998601779265986,
                0.9999832985761721,
                0.9999251537468808
            ],
            [
                0.9999885212332632,
                0.9999869928761931,
                0.9999832985841405,
                0.9999852610180356,
                0.9999151889892526,
                0.999876605426039,
                0.9999869928653436,
                0.9999832985781653,
                0.9999898700102323,
                0.9999885212291407
            ],
            [
                0.9999724643187803,
                0.9999910603047691,
                0.9999724643089107,
                0.9999945777790923,
                0.9999885212305096,
                0.9998601778938571,
                0.9999898700078163,
                0.9999930377412614,
                0.9999952149055069,
                0.9999957771675629
            ],
            [
                0.9999852610110289,
                0.9999756997477088,
                0.9999756997564013,
                0.9999485577619212,
                0.9999599363221838,
                0.9933071476083329,
                0.9999910603015741,
                0.999981074849527,
                0.9999852610110096,
                0.9998766053670707
            ],
            [
                0.9989677689830524,
                0.9992903295072788,
                0.9984988178175993,
                0.9989677687561702,
                0.9993736658475014,
                0.9999724643122042,
                0.9982992772359509,
                0.9997965731026545,
                0.9964063975044505,
                0.9990889487998244
            ],
            [
                0.9999251537550597,
                0.9999646437577774,
                0.9997965730521511,
                0.9999251537373559,
                0.9998204719709428,
                0.9999646437619801,
                0.9999785550541831,
                0.9996646499786621,
                0.9998415638409615,
                0.9999852610180351
            ],
            [
                1.4738988996240646e-05,
                3.120191135560069e-05,
                1.4738976691331275e-05,
                2.144495351940237e-05,
                1.3007130012341915e-05,
                7.484621823550934e-05,
                1.8925141465200488e-05,
                2.1444950957402623e-05,
                8.939700565996655e-06,
                4.0063696899461064e-05
            ],
            [
                0.9999910603058312,
                0.9996200154831588,
                0.9999832985841355,
                0.9999898700090227,
                0.9999898700102304,
                0.9999599362983042,
                0.9999810748427448,
                0.9999485577679873,
                0.9999869928715416,
                0.9999869928668902
            ],
            [
                5.144223815748175e-05,
                0.00023050676894271972,
                0.00013982213988131576,
                9.610246071689974e-05,
                0.00029595706101220225,
                0.9991959138942816,
                0.00048785722442240217,
                0.0002611902432967885,
                0.0001233945451573219,
                0.0007096704253539936
            ],
            [
                0.9998415638221764,
                0.9999599363222477,
                0.9999852610197921,
                0.9982992777508382,
                0.9999724643154935,
                0.9999910603026337,
                0.9999417087276151,
                0.9999938558224697,
                0.9999852610233075,
                0.9997694932309433
            ],
            [
                0.9994472213988362,
                0.9999417087553654,
                0.9999724643056253,
                0.9959298630466907,
                5.144223198722914e-05,
                0.9995694428704524,
                0.0002034268974521159,
                0.9999417087067041,
                0.9984988177233702,
                0.00043055717564137707
            ],
            [
                0.9998204719507311,
                0.99997855505672,
                0.9999756997534849,
                0.9999910603036999,
                0.9997388097253471,
                0.9999810748562796,
                0.9997965729335933,
                0.9999898700066084,
                0.9999724642957971,
                0.9999832985841466
            ],
            [
                0.9999898700041918,
                0.999986992869989,
                0.9999810748427485,
                0.999992110736476,
                0.9999885212291435,
                0.9999038976197555,
                0.9997694933166732,
                0.9999724643056358,
                0.9999832985761801,
                0.9999852610127683
            ],
            [
                0.9999646437366918,
                7.484620035127781e-05,
                0.9999724643089384,
                0.9975273762834432,
                0.9999151889285072,
                0.9999687980775326,
                0.9999869928746435,
                0.9999832985702067,
                0.9999485577680322,
                0.9999646437620174
            ],
            [
                0.9999885212318809,
                0.9999938558261331,
                0.9984988175668452,
                0.9999646437366851,
                0.9999910603068958,
                0.9999546021260254,
                0.9999724643023706,
                0.999988521235987,
                0.9999251537907886,
                0.999994577781678
            ],
            [
                0.9999962733611628,
                0.9999885212277768,
                0.9999869928761919,
                0.9999967112493667,
                0.9999785550464939,
                0.9999910603026345,
                0.9999785550516096,
                0.9999724643089352,
                0.9999952149055064,
                0.9999785550413764
            ],
            [
                0.9997040429045095,
                0.9999251537818445,
                0.9990889490049171,
                0.9999417087553741,
                0.9999546021260426,
                0.9999646437493394,
                0.9998204719710603,
                0.999972464305641,
                0.9998601779431912,
                5.829129328744691e-05
            ],
            [
                0.9999339478476039,
                0.9999810748450251,
                0.9999724643122014,
                0.9998415638405949,
                0.9999910603026321,
                0.9999869928684406,
                0.9999251537550904,
                0.9997040429795022,
                0.9999151889386919,
                0.999620015439028
            ],
            [
                0.9999646437577614,
                0.9999687980923851,
                0.9999832985721872,
                0.9998415638220174,
                0.9999921107383564,
                0.9999921107336545,
                0.9999251537640834,
                0.9999967112513275,
                0.9999898700090254,
                0.9999930377404319
            ],
            [
                3.535625910878189e-05,
                2.14449458497871e-05,
                2.1444945853375776e-05,
                4.539785778179383e-05,
                2.4300243622255085e-05,
                3.1201911358551906e-05,
                1.1478765388314311e-05,
                1.4738981968864903e-05,
                3.535624648041073e-05,
                1.670141984792864e-05
            ],
            [
                0.9998415637091209,
                0.9999756997621831,
                0.9999485577864516,
                0.9999921107402373,
                0.999996273361605,
                0.9999785550592677,
                0.9999930377462463,
                0.9999930377429237,
                0.9999646437451443,
                0.9999898700090251
            ],
            [
                1.3007134663876127e-05,
                0.0001233946333728019,
                1.8925155006118952e-05,
                2.1444948410303962e-05,
                5.144221362768171e-05,
                7.484620026687456e-05,
                1.1478772228528306e-05,
                6.605214462734262e-05,
                1.8925148238291944e-05,
                5.1442232044492805e-05
            ],
            [
                0.9999599363221765,
                0.9999869928761923,
                0.9996200155260293,
                0.9999038975854193,
                0.9992903294842451,
                0.999915188929081,
                0.9999885212332462,
                0.999447221278018,
                0.9999832985721934,
                0.999972464299095
            ],
            [
                0.9999646437619673,
                0.9999832985741829,
                0.9999417087345585,
                0.9999910603026385,
                0.9998766053962245,
                0.9999832985761816,
                0.9999832985741862,
                0.9997694933179407,
                0.9999869928715429,
                0.9999852610197942
            ],
            [
                0.999993037742922,
                0.9999852610215495,
                0.9999810748450114,
                0.9999339478239984,
                0.9995694429248629,
                0.9999921107383563,
                0.9999724642990824,
                0.9999885212346247,
                0.9999485578048097,
                0.9999952149066474
            ],
            [
                0.9997694932330158,
                0.9999852610215506,
                0.9999546021476502,
                0.9999546021369913,
                0.9997388096640786,
                0.9999852610180593,
                0.9999852610197986,
                0.9988304896375759,
                0.9999810748517763,
                0.999738809758018
            ],
            [
                0.9999962733611603,
                0.9999938558268653,
                0.9999785550490434,
                0.9999945777816783,
                0.9999885212305122,
                0.9998204721004774,
                0.999975699750598,
                0.9999546021314502,
                0.999968798096133,
                0.999876605470197
            ],
            [
                6.605215243309315e-05,
                8.939697367264857e-06,
                1.6701421842566163e-05,
                1.4738985480179701e-05,
                0.0001584362163363038,
                5.144222587049821e-05,
                8.481104113061569e-05,
                5.829125852607975e-05,
                7.4846218032397e-05,
                9.610241466746177e-05
            ],
            [
                0.999975699765091,
                0.9999724643023877,
                0.9999339478476101,
                0.9999687980960907,
                0.9999832985741829,
                0.9997965729561221,
                0.9998601779615536,
                0.9999724643056468,
                0.9999546021422393,
                0.9998911030910429
            ],
            [
                0.9999038975397089,
                0.9999546021476535,
                0.9994472214805824,
                0.9996646498172961,
                0.999841563784104,
                0.9997965729561221,
                0.9998601778599966,
                0.9999810748563078,
                0.999964643736694,
                0.9997694932064087
            ],
            [
                7.889261643554814e-06,
                5.422221555192784e-06,
                1.3007131563176482e-05,
                3.120191878472311e-05,
                1.300713466420736e-05,
                6.962258739068529e-06,
                5.422219615395428e-06,
                1.8925154994724604e-05,
                1.473898372500477e-05,
                1.147876675548402e-05
            ],
            [
                0.9999930377412614,
                0.9999945777803844,
                0.9999810748427478,
                0.9999646437325226,
                0.9999832985721898,
                0.9999599363174162,
                0.9999885212359839,
                0.9999756997506166,
                0.9999921107345958,
                0.9999930377429215
            ],
            [
                0.9999910603037031,
                0.9997388096998958,
                0.9999038976197303,
                0.9997388096645802,
                0.9997694932923533,
                0.9999339478713091,
                0.999975699750598,
                0.9999485577864431,
                0.9999785550490462,
                0.9999898700090227
            ],
            [
                1.6701427813872793e-05,
                1.147877086073156e-05,
                2.4300243614475748e-05,
                2.753569109034197e-05,
                6.144173868670137e-06,
                1.892515725920463e-05,
                1.012999460108057e-05,
                1.0129992185060374e-05,
                1.4738980213341866e-05,
                1.0129990979031306e-05
            ],
            [
                1.6701421842961097e-05,
                4.539785237052376e-05,
                1.670141785237998e-05,
                1.0129994599624903e-05,
                1.892515049199645e-05,
                1.6701415867707307e-05,
                1.1478766753751021e-05,
                1.1478769492141554e-05,
                4.22283344433731e-06,
                2.7535700938304286e-05
            ],
            [
                0.9999339478711793,
                0.9992903294631515,
                0.9989677689057443,
                0.9999756997476967,
                0.9999151889288207,
                0.9999485577803794,
                0.9999869928715408,
                0.9999810748450053,
                0.9999885212305166,
                0.9964063969358711
            ],
            [
                0.9997965730041514,
                0.9999599362887948,
                0.9999417087067435,
                0.9999898700126495,
                0.9999898700090223,
                0.9999687980737819,
                0.999820472100561,
                0.9999785550413967,
                0.9997040429029683,
                0.9997965731018612
            ],
            [
                0.9999938558232017,
                0.9998601779108809,
                0.9999151889392015,
                0.9999898700102313,
                0.9999930377412634,
                0.9998601779433112,
                0.9998911030525907,
                0.9999832985761824,
                0.9998204720789126,
                0.9999251537997663
            ],
            [
                0.9997388096366363,
                0.9999869928730976,
                0.9999646437324645,
                0.9999832985802296,
                0.9999687980886588,
                0.9999251537907967,
                0.9998601779766366,
                0.9999756997679753,
                0.9999756997679787,
                0.9999724643154996
            ],
            [
                0.9999930377420928,
                0.9999910603005044,
                0.9998766054113328,
                0.9999810748540223,
                0.9996646497366277,
                0.9999832985781679,
                0.9999756997592889,
                0.9999756997621788,
                0.9999599363078933,
                0.9998204720997695
            ],
            [
                0.9999810748472573,
                0.9999599362887714,
                0.9999810748450114,
                0.9999962733616049,
                0.9999885212291427,
                0.9997694932620239,
                0.9999910603015686,
                0.9999832985741884,
                0.9999687980998114,
                0.9999930377420919
            ],
            [
                0.9999687980812239,
                0.9999687980813154,
                0.9999251537729794,
                0.999983298584149,
                0.9999921107345966,
                0.9997694932050405,
                0.999933947855464,
                0.9999785550592668,
                0.9999885212291522,
                0.9999339478477346
            ],
            [
                0.9997694932620239,
                0.999738809635542,
                0.999704042945024,
                0.9999251537907886,
                0.999972464308929,
                0.9999938558224701,
                0.9999852610162828,
                0.9999910603005041,
                0.9998204720996102,
                0.9991959139640569
            ],
            [
                0.9999151889791345,
                0.9999546021368443,
                0.9997388096638355,
                0.9999646437408994,
                0.9995694429244371,
                0.9982992779261568,
                0.999876605470285,
                0.9999546021151896,
                0.9995121429029612,
                0.9999810748540323
            ],
            [
                0.9999921107374168,
                0.9997965730040507,
                0.9999724643056529,
                0.9999724643155298,
                0.9999869928715439,
                0.9999756997534934,
                0.9999810748472573,
                0.9999967112493668,
                0.999985261016281,
                0.9999898700054032
            ],
            [
                0.9999810748495147,
                0.9953904275022716,
                0.9994472214758229,
                0.999972464315492,
                0.9999852610145198,
                0.9998601779646784,
                0.9980732653872669,
                0.9990889488536009,
                0.9999724643024137,
                0.9993736657704423
            ],
            [
                0.9999852610127722,
                0.9999952149037953,
                0.9999417087206578,
                0.9999938558261315,
                0.99998329857418,
                0.9998601779109949,
                0.9999970976873236,
                0.9999921107383568,
                0.9998601779269465,
                0.9997040427972863
            ],
            [
                0.9999921107345958,
                0.9999599362887743,
                0.9999832985841317,
                0.9999938558224697,
                0.9999885212346146,
                0.9999417087484541,
                0.9999785550464871,
                0.9999898700066091,
                0.9999852610145304,
                0.9999485577987985
            ],
            [
                6.962259568889411e-06,
                3.5356250681935664e-05,
                4.0063677816192936e-05,
                1.892515049423401e-05,
                2.7535704212311033e-05,
                1.4738987238893715e-05,
                1.6701429804288556e-05,
                8.93970056565517e-06,
                8.939695235959266e-06,
                1.4738978456398127e-05
            ],
            [
                0.9998415638214249,
                0.9999151889183534,
                0.9999038975624739,
                0.9999832985741818,
                0.9999810748517677,
                0.9959298627012616,
                0.9997694933416302,
                0.9999251537639804,
                0.9998204719922593,
                0.9997388097589528
            ],
            [
                0.9999724643089352,
                0.9999852610110042,
                0.9999756997506197,
                0.9997694932059459,
                0.999989870005401,
                0.9999885212291438,
                0.9997040427665538,
                0.9999251537372644,
                0.9999687980960923,
                0.9998766053818181
            ],
            [
                0.9999898700102309,
                0.9999546021476873,
                0.9999810748472546,
                0.999876605455875,
                0.9999930377462425,
                0.9999687980961264,
                0.99989110307831,
                0.9999869928746413,
                0.9999646437493489,
                0.9999151889488199
            ],
            [
                0.9989677687920632,
                0.9999339478396944,
                0.999972464295811,
                0.9999832985761808,
                0.9999546021260286,
                0.9999810748517985,
                0.9999756997505924,
                0.9999785550516015,
                0.999975699759302,
                0.9999485577619297
            ],
            [
                0.9999910603068967,
                0.999981074842751,
                0.9998601779438178,
                0.9999646437619673,
                0.9999921107383564,
                0.9999546021422301,
                0.9999852610180512,
                0.9996200155282403,
                0.9999151889286653,
                0.9999339478477053
            ],
            [
                1.300713466316634e-05,
                2.4300243623139103e-05,
                6.605217603921075e-05,
                1.1478766753751021e-05,
                1.4738980210258757e-05,
                3.1201911339482505e-05,
                8.939696301839653e-06,
                1.89251527491092e-05,
                1.0129989770441144e-05,
                4.785095064819011e-06
            ],
            [
                0.9999921107383581,
                0.9999151889692065,
                0.9991959141740379,
                0.9998204719932597,
                0.999991060306896,
                0.9999945777810307,
                0.9999810748450123,
                0.999972464308929,
                0.9998204720348951,
                0.9999785550413794
            ],
            [
                6.962258739169842e-06,
                1.3007131563176482e-05,
                4.006368260595596e-05,
                1.8925148237775583e-05,
                2.4300232036606334e-05,
                1.892515500388139e-05,
                1.6701419848961534e-05,
                3.5356259112640515e-05,
                3.535626755260807e-05,
                1.1478773597118638e-05
            ],
            [
                0.00010889690895702637,
                5.1442238118931704e-05,
                6.605217607477225e-05,
                5.1442225836439433e-05,
                4.5397890268254766e-05,
                6.605212097077738e-05,
                4.5397852378781204e-05,
                4.0063687374440786e-05,
                3.535624646947797e-05,
                4.00636826148464e-05
            ],
            [
                0.9996200155644779,
                0.9999038975966815,
                0.9997388097851638,
                0.9998601779433335,
                0.9997040429038208,
                0.9998766053817768,
                0.9840936089879458,
                0.9989677691858058,
                0.9995121427762019,
                0.9984988177626323
            ],
            [
                0.9999724643056513,
                0.9999930377445823,
                0.9999921107383578,
                0.9999810748450013,
                0.9999885212359844,
                0.999981074851779,
                0.9999938558246662,
                0.9999910603058317,
                0.9999952149060769,
                0.9999852610233037
            ],
            [
                0.9999339478319602,
                0.9999885212359817,
                0.9999910603037004,
                0.9999970976890533,
                0.9999869928668935,
                0.999988521227776,
                0.9999869928746431,
                0.999983298582147,
                0.9999810748517677,
                0.9998415637850468
            ],
            [
                2.144495096161541e-05,
                3.535626332111248e-05,
                0.00015843617788812605,
                1.1478773596847203e-05,
                2.753569436805389e-05,
                1.1478773597390071e-05,
                2.7535691091443854e-05,
                3.7266406165827946e-06,
                2.4300240716759115e-05,
                3.1201926243586504e-05
            ],
            [
                0.9999785550592677,
                0.9999038975740563,
                0.9999339478398044,
                0.9998204720579957,
                0.9999885212305091,
                0.9999646437324866,
                0.9997040428372841,
                0.999620015434186,
                0.9999687980886623,
                0.999664649976184
            ],
            [
                0.9999151889891654,
                0.999959936288817,
                0.99998526102155,
                0.9998204720140016,
                0.9998766053965656,
                0.9999832985841366,
                0.9999898700054001,
                0.9999038975853564,
                0.9999898700126484,
                0.999959936312646
            ],
            [
                0.9999885212277752,
                0.9999724643154935,
                0.9999921107336607,
                0.9999687980774912,
                0.9998911030521819,
                0.9999485578049051,
                0.9999832985801561,
                0.9999599363078577,
                0.9997965729321371,
                0.999991060305831
            ],
            [
                0.9999810748472581,
                0.9999810748585384,
                0.9999756997679862,
                0.9999832985781659,
                0.9997388097582687,
                0.9996646498989012,
                0.999988521230513,
                0.999915188938579,
                0.999664649976828,
                0.9997388095684371
            ],
            [
                0.9999921107392981,
                0.99929032948053,
                0.9964063974019061,
                0.9999938558232049,
                0.9999485578048216,
                0.9999417087554167,
                0.99998107485629,
                0.9999724643023534,
                0.9999810748562825,
                0.9998766054256547
            ],
            [
                0.9999810748585377,
                0.9999756997621879,
                5.144221361046519e-05,
                0.9999599363030923,
                0.9999852610180886,
                0.9997965730046485,
                0.9999810748540389,
                0.9997388096024303,
                0.9988304896147295,
                0.9999869928746475
            ],
            [
                0.9998204720164126,
                0.9999756997506067,
                0.9997040428029953,
                0.9998415637470828,
                0.999796572931628,
                0.9999038975515878,
                0.9999756997679742,
                0.999373665988139,
                0.9999885212291443,
                0.9998204720809291
            ],
            [
                0.9999687980737803,
                0.999993037746244,
                0.9999832985801561,
                0.9999687980849362,
                0.99995460211518,
                0.9995121427744423,
                0.9999885212318783,
                0.9999885212332492,
                0.9840936105332502,
                0.9997040430139976
            ],
            [
                0.9999546021206008,
                0.9999869928653392,
                0.9986749777087985,
                0.9998415638043159,
                0.9998601779433335,
                0.9999151889490357,
                0.9998766053818181,
                0.9999832985761744,
                0.9999724643154935,
                0.9996200154345176
            ],
            [
                0.9997388097888802,
                0.9999251537729239,
                0.9999251538000059,
                0.9997965730527784,
                0.999891103065333,
                0.9994472212864114,
                0.9995121428392411,
                0.9997040429410631,
                0.9999810748562817,
                0.999738809728364
            ],
            [
                0.9999646437451055,
                0.9999687980849281,
                0.9998204719925676,
                0.999959936322189,
                0.9994472213235218,
                0.999988521226405,
                0.9999724643155011,
                0.999860177927209,
                0.999841563784074,
                0.999941708727812
            ],
            [
                0.9999938558261328,
                0.9996646498982378,
                0.999992110734597,
                0.9999852610145203,
                0.9997965731027078,
                0.9999485577986859,
                0.9999921107355361,
                0.9999785550439408,
                0.9999646437619673,
                0.9999339478712412
            ],
            [
                2.7535687765650007e-05,
                6.96225956837018e-06,
                1.3007131561804229e-05,
                1.4738985480608657e-05,
                2.4300246514137558e-05,
                7.8892607025437e-06,
                7.889263525663481e-06,
                3.1201922514835635e-05,
                8.9396941718352e-06,
                4.222832940942332e-06
            ],
            [
                0.9999852610215555,
                0.9999485577680484,
                0.9999930377404319,
                0.9998911030914043,
                0.9999724643089261,
                0.9999952149060767,
                0.9999810748517738,
                0.9999938558246667,
                0.9999869928715439,
                0.9999885212318881
            ],
            [
                0.9998911031303049,
                0.9999921107383588,
                0.99998987000782,
                0.9999945777823243,
                0.9999910603047691,
                0.9999885212332504,
                0.999988521233248,
                0.999968798073803,
                0.9999785550515996,
                0.9999952149055085
            ],
            [
                0.9975273771241876,
                0.999954602136796,
                0.0006263340898673962,
                0.9978172839141844,
                0.999925153746081,
                0.9998766053814608,
                0.9996200154779741,
                7.484624505832518e-05,
                0.9993736658433479,
                0.9995121429453657
            ],
            [
                0.9999832985761737,
                0.9999599362887531,
                0.9999417087067576,
                0.9999724643155044,
                0.9998766054253101,
                0.9999852610197921,
                0.9999546021314231,
                0.9999810748562864,
                0.9986749778130894,
                0.9999687980886474
            ],
            [
                0.9975273768324538,
                2.1444945854624007e-05,
                1.0129992185539456e-05,
                7.889259763469998e-06,
                2.1444958627955892e-05,
                2.144494840687132e-05,
                1.6701421837705495e-05,
                1.3007126911974612e-05,
                1.8925155001402863e-05,
                7.889266347356409e-06
            ],
            [
                0.999769493233673,
                0.9999810748517707,
                0.9997965731011095,
                0.999972464305637,
                0.9999485577987062,
                0.9999832985841333,
                0.9999599362935613,
                0.9999417087485046,
                0.9997694933172299,
                0.9999810748450053
            ],
            [
                6.605213666348852e-05,
                7.484620038013827e-05,
                4.006369215691771e-05,
                4.006368737677271e-05,
                2.753568780802255e-05,
                2.1444948409679848e-05,
                0.0003799845026136913,
                1.147876949187012e-05,
                3.120192251903545e-05,
                1.670142582102693e-05
            ],
            [
                0.9999898700126462,
                0.9999038975858695,
                0.9999151889389992,
                0.9999921107402382,
                0.9999957771655494,
                0.9999756997650822,
                0.9999869928668871,
                0.9999546021477292,
                0.999989870012649,
                0.9999546021368871
            ],
            [
                0.9999810748517829,
                0.9999832985721891,
                0.9999910602994357,
                0.9999930377404314,
                0.9999885212291431,
                0.999996711249367,
                0.9999945777784455,
                0.9999339478317699,
                0.9999810748495139,
                0.9999756997679775
            ],
            [
                0.9998911030389356,
                0.9984988178856535,
                0.9997965730771127,
                0.9999038975625507,
                0.9999151889790956,
                0.9947798752640176,
                0.9980732651141464,
                0.9999687980737704,
                0.999704042799327,
                0.9996646500165182
            ],
            [
                0.9999785550490545,
                0.9999810748427433,
                0.999991060301567,
                0.9999785550541597,
                0.9998601778600943,
                0.9999756997534958,
                0.9999599362887508,
                0.9999832985841371,
                0.9999599363030979,
                0.9999251537372568
            ],
            [
                4.5397890252070155e-05,
                5.144220744545534e-05,
                4.539786319570692e-05,
                4.5397884829235786e-05,
                3.535625487278559e-05,
                5.8291244557923705e-05,
                4.5397884849053674e-05,
                1.4738987234014356e-05,
                3.1201900194894126e-05,
                0.000123394618575061
            ],
            [
                2.4300246500523706e-05,
                2.1444945854624007e-05,
                1.0129992185299915e-05,
                1.300712691308661e-05,
                8.939694171331106e-06,
                1.3007130012980722e-05,
                1.3007126911643378e-05,
                7.8892654060075e-06,
                2.144494329566774e-05,
                2.4300234924597754e-05
            ],
            [
                0.9999251537820122,
                0.9999687980886797,
                0.999972464318785,
                0.9999785550592742,
                0.9999599363173831,
                0.9999938558268643,
                0.9999869928684486,
                0.9999957771660527,
                0.9997694933421802,
                0.9999852610110103
            ],
            [
                0.9999756997563889,
                0.9999898700102337,
                0.9986749777225089,
                0.9999599363078816,
                0.9999038976083912,
                0.9999485577741635,
                0.9999756997506027,
                0.9998415638032002,
                0.9890130563978902,
                0.9914225133666256
            ],
            [
                0.9999251537461387,
                0.9994472212812339,
                0.9995694428674964,
                0.9999485577680741,
                0.9998601778768068,
                0.9986749777493132,
                0.9999869928684425,
                0.9999417087277059,
                0.9999546021476698,
                0.9999687980998219
            ],
            [
                0.9999869928699985,
                0.9998415637853626,
                0.9992903297473984,
                0.9998204721006915,
                0.9999599363128352,
                0.9999038975396822,
                0.9999852610145235,
                0.9997694933160024,
                0.9980732654692032,
                0.9995694428687238
            ],
            [
                0.9997388095998615,
                9.610238043331302e-05,
                5.1442195225848094e-05,
                0.9995121427688792,
                3.5356259082286005e-05,
                0.9986749776154451,
                0.9998415638407147,
                0.9902915236080653,
                2.4300252316291068e-05,
                0.9992903294781358
            ],
            [
                0.9997388097298917,
                0.9999151889286035,
                0.9997388096951156,
                0.9997965730298294,
                0.999891103104172,
                0.999983298578164,
                0.9999687980812239,
                0.9999485577618847,
                0.9999785550541638,
                0.9998911030914043
            ],
            [
                0.999988521230513,
                0.999985261023307,
                0.9999151889792381,
                0.9999832985841411,
                0.9999952149043652,
                0.9999952149032246,
                0.9992903295789803,
                0.9997694932319493,
                0.9998415638038917,
                0.9999885212346156
            ],
            [
                0.9999921107355344,
                0.9999945777829699,
                0.999991060302632,
                0.9999251537551883,
                0.9999646437325173,
                0.9999832985721976,
                0.9999810748472573,
                0.999994577781678,
                0.9999485577986746,
                0.9999646437451295
            ],
            [
                0.9999952149043657,
                0.9998911030782007,
                0.9999485577986784,
                0.999988521233248,
                0.9999810748517772,
                0.9999832985741856,
                0.9998766054115752,
                0.9999724642957943,
                0.9998601779269202,
                0.9997388097256663
            ],
            [
                2.1444956078515887e-05,
                1.473898899256772e-05,
                8.93970056529743e-06,
                2.144494074076854e-05,
                1.3007126910294786e-05,
                1.300713466420736e-05,
                2.753570421361326e-05,
                4.006367784140681e-05,
                1.1478765387667046e-05,
                6.144176064531938e-06
            ],
            [
                0.9999832985761737,
                0.9999921107336561,
                0.9999646437409486,
                0.9999910603036997,
                0.9999869928653388,
                0.9999810748472546,
                0.9999546021314468,
                0.9999852610215495,
                0.9999962733616049,
                0.9999967112497592
            ],
            [
                3.120191880118183e-05,
                4.539787399744151e-05,
                4.0063701703217896e-05,
                3.12019187926687e-05,
                2.7535700938304286e-05,
                4.006370646383477e-05,
                5.82912445833697e-05,
                5.8291244647832884e-05,
                3.535625911829982e-05,
                0.9975273772516775
            ],
            [
                0.9982992772982118,
                4.006367784140681e-05,
                0.9998204720128602,
                0.9978172832645971,
                4.539787937205107e-05,
                0.9859363723885574,
                0.9995694430151341,
                0.9995694428751869,
                0.0011695101464725146,
                4.539785776395774e-05
            ],
            [
                2.4300232036606334e-05,
                2.144495606626759e-05,
                2.1444940734059286e-05,
                1.6701417860795016e-05,
                1.3007128463069061e-05,
                2.14449458497871e-05,
                2.4300237801450912e-05,
                1.8925152742706337e-05,
                2.7535681240079227e-05,
                2.1444940724775554e-05
            ],
            [
                0.9999952149055058,
                0.9999687980737874,
                0.9999885212291435,
                0.9999852610110139,
                0.9999910603026342,
                0.9999485577619998,
                0.9999038976201525,
                0.9999885212318804,
                0.9999885212305122,
                0.999820472015164
            ],
            [
                1.8925152746768368e-05,
                0.00010889692176918111,
                3.120191507912884e-05,
                2.7535681240079227e-05,
                5.829129321322935e-05,
                3.5356242264223526e-05,
                1.3007130012980722e-05,
                2.144494840687132e-05,
                1.8925141467059383e-05,
                7.484626266158608e-05
            ],
            [
                1.892515725665725e-05,
                0.9953904283932359,
                1.8925143724239906e-05,
                5.829127939986156e-05,
                4.006369693473136e-05,
                1.0129988563914856e-05,
                0.9996646498915447,
                2.7535694373763664e-05,
                2.1444953520884646e-05,
                1.4738987240475486e-05
            ],
            [
                0.9999599363174296,
                0.9998204719518542,
                0.9999832985821525,
                0.9998766053673921,
                0.9999485577741718,
                0.9999930377454138,
                0.9999599363078964,
                0.9999832985761703,
                0.9999724642990868,
                0.9999930377462534
            ],
            [
                0.9999687980774961,
                0.9999417087483837,
                1.6701419843189485e-05,
                0.999959936317427,
                0.9999251537551382,
                0.9999724643154754,
                0.9997965729550982,
                0.9999869928653415,
                0.999959936288777,
                0.9999599362935263
            ],
            [
                0.999989870010232,
                0.999992110735536,
                0.9999898700090235,
                0.9999930377437524,
                0.9999898700126476,
                0.9999938558261325,
                0.9999945777823239,
                0.9999910603037021,
                0.999988521235993,
                0.999964643732509
            ],
            [
                0.9999785550439356,
                0.9998204719928888,
                0.999964643736683,
                0.9999810748517881,
                0.9999921107355353,
                0.9999832985741915,
                0.9999885212277744,
                0.9324533032291501,
                0.9999869928668871,
                0.999975699767985
            ],
            [
                0.9999756997621945,
                0.9998766054696027,
                0.9999417087139372,
                0.9999151889688855,
                0.9993736657314573,
                0.9999687980737659,
                0.999620015524946,
                0.9999485577743488,
                9.610240317730436e-05,
                0.9997388096931397
            ]
        ]
    },
    {
        "q_id": "10450_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.4222170304318e-06,
                1.1478765386330758e-05,
                0.9999485577679615,
                0.9998204719919616,
                0.9997388096912398,
                1.8925150485318196e-05,
                7.889264464895484e-06,
                0.9933071501035016,
                1.300713464913624e-05,
                0.9999785550541627
            ],
            [
                0.9999417087553971,
                6.962253756687988e-06,
                0.9999785550592677,
                0.9999885212305069,
                4.785095634843714e-06,
                0.999954602109809,
                1.892515272680245e-05,
                1.670142382286494e-05,
                0.9999687980812186,
                6.962256246896338e-06
            ],
            [
                0.9999151889892037,
                8.939700564890901e-06,
                2.4300234907624647e-05,
                0.9999724642990605,
                7.88926164035468e-06,
                1.4738976639588656e-05,
                0.9995694429669987,
                0.9999251537995403,
                6.9622554187981796e-06,
                0.9997965730998162
            ],
            [
                0.9999339478724368,
                0.9999151889385179,
                0.9984988174092733,
                0.9997388095981592,
                5.043475284182996e-07,
                0.9997694931755629,
                0.9997388096315142,
                0.9997694932044235,
                0.9997694932878798,
                0.999933947863301
            ],
            [
                0.9989677687175161,
                0.9998911031040073,
                0.9999339478240314,
                0.9924227594604911,
                0.9978172834993816,
                0.9999151889589687,
                0.9996646497379253,
                0.999820472013615,
                0.9999151889185471,
                0.9998601778763104
            ],
            [
                1.6701415864001047e-05,
                5.422219616085833e-06,
                7.889263523238269e-06,
                0.9998204719488896,
                2.1444940725789744e-05,
                1.3007131538428617e-05,
                1.012998855521771e-05,
                0.999959936288817,
                7.484623536501649e-05,
                0.9998911031169002
            ],
            [
                0.9978172840014047,
                0.9980732649037093,
                1.89251482218717e-05,
                0.9995121427780186,
                0.9984988176132619,
                0.9999038975967737,
                1.3007133112662637e-05,
                0.9998204720572695,
                0.9998911031040516,
                0.9991959141680985
            ],
            [
                0.9999724643121964,
                0.9995121427716891,
                0.9999339478239084,
                0.9999038975621606,
                0.9998766053961293,
                6.144173133136295e-06,
                0.9998766054404974,
                0.9999599363173896,
                0.999983298574179,
                0.9998415638403066
            ],
            [
                0.9992903296354085,
                0.9998415638402491,
                0.9988304899139069,
                0.9984988177628068,
                0.9994472214641816,
                0.9997040429021244,
                0.9997965730048025,
                0.999954602115151,
                0.9989677687190768,
                0.9992903296377202
            ],
            [
                4.785093924103951e-06,
                1.300712846115264e-05,
                8.939699500489763e-06,
                1.012999459815081e-05,
                4.785096776133645e-06,
                7.889264466445326e-06,
                6.96225541655662e-06,
                1.2098652507439992e-06,
                1.760344052402049e-06,
                4.2228319339950885e-06
            ],
            [
                0.9999038975969905,
                0.9996646497353594,
                0.9995694429742634,
                0.9997965730031214,
                0.9984988173916489,
                0.9999756997592832,
                0.9996200155688114,
                0.9933071503016291,
                0.9997965731010622,
                0.9996200155218616
            ],
            [
                0.9999339478319179,
                0.9999898700053991,
                0.9999546021206008,
                0.9999485577680239,
                0.9999546021205734,
                0.9999832985821503,
                0.9999810748585449,
                0.9999785550516216,
                0.9999785550567524,
                0.9999687980812496
            ],
            [
                0.9999339478317647,
                0.9995121428860448,
                0.9999151889890853,
                4.0063682424940686e-05,
                0.9998911030390022,
                0.999820472077907,
                0.9999251537728298,
                0.9999921107336532,
                0.9999151889184854,
                0.9999251537907967
            ],
            [
                0.9999546021205975,
                0.9999962733589393,
                0.999948557774238,
                0.9999930377429215,
                0.9999810748517685,
                0.9999869928699877,
                0.9999898700066062,
                0.9999869928653345,
                0.9999810748472499,
                0.9998911031298249
            ],
            [
                0.9998204720557154,
                0.9999339478554053,
                0.9989677690545982,
                0.999704043010183,
                1.4738988993532872e-05,
                0.9995121429453657,
                0.9999687980960844,
                0.9999546021206818,
                0.9997965729314328,
                0.9999151889587262
            ],
            [
                0.9998601779767078,
                0.9995121428867828,
                0.9999546021422869,
                0.9999599363030772,
                0.999290329642137,
                0.9980732650116143,
                0.9998601779431668,
                0.9997694933404095,
                0.9998204719704961,
                4.539787926569509e-05
            ],
            [
                0.9997388097847384,
                0.9998911030521677,
                7.889265404959923e-06,
                0.9996200155619905,
                3.5356237890219234e-05,
                3.535625485323523e-05,
                0.9996646499324252,
                0.999195914061331,
                0.9998601779596922,
                0.9998415637838066
            ],
            [
                0.9992903294721505,
                0.9959298614346876,
                0.9997694933413888,
                0.99990389759675,
                0.9992903297080182,
                0.9997388097534734,
                6.144173868781898e-06,
                4.7850927818311495e-06,
                0.9995121429524331,
                0.9999251537997015
            ],
            [
                2.9023123306594577e-06,
                6.144175333021237e-06,
                1.892515498164348e-05,
                2.9023116390104826e-06,
                1.2098661157002888e-06,
                4.785094492383368e-06,
                1.892514823426434e-05,
                1.0129987355564522e-05,
                2.2603240281236263e-06,
                2.2603242976404388e-06
            ],
            [
                0.9997965730029439,
                0.9998911031306567,
                0.9999151889689035,
                1.8925145964139856e-05,
                0.9997965730280535,
                0.9999687980737819,
                0.9999038975624376,
                0.999989870011438,
                0.9997388097865698,
                0.9998415637652246
            ],
            [
                0.9998204719701069,
                0.999738809660902,
                0.9996646497320909,
                0.9991959138728627,
                0.9989677687288003,
                0.9959298629674119,
                1.1478768122695653e-05,
                0.9997965730280535,
                0.9995694429672992,
                0.9980732649354987
            ],
            [
                0.9999898700066094,
                0.999989870011436,
                0.9999546021097985,
                0.9999885212277724,
                0.9999938558253986,
                0.9999785550490462,
                0.9999869928684441,
                0.999988521233246,
                0.9999952149066486,
                0.9999967112509347
            ],
            [
                8.93969417167259e-06,
                2.260325375520937e-06,
                1.0129995807699706e-05,
                4.222832436164788e-06,
                4.222834451065997e-06,
                6.962257908348587e-06,
                4.7850944945245504e-06,
                4.7850944942634305e-06,
                3.726640615921872e-06,
                3.2887506333394084e-06
            ],
            [
                0.9999898700066062,
                0.9999646437324645,
                0.9997388095985165,
                0.9998766054252921,
                0.9997040430099849,
                2.753569758626431e-05,
                0.9998415638211253,
                1.6701417851043295e-05,
                0.9998911030520234,
                0.9997694932582344
            ],
            [
                0.9990889487973342,
                0.9997694932592338,
                0.9997388097232875,
                0.9996646498114128,
                0.999447221332076,
                0.9997040430104758,
                0.9988304895021302,
                0.9991959140747061,
                0.9997965730281009,
                1.6701429791650804e-05
            ],
            [
                0.9995694429703554,
                0.9964063974235821,
                0.9996646497309396,
                0.9997965729796218,
                0.999088948687238,
                6.962257907880012e-06,
                0.9997694932321975,
                0.9997694932595356,
                0.9999417087206531,
                0.9992903296290516
            ],
            [
                2.5612828212909852e-06,
                2.1444940718222327e-05,
                3.2887498491620677e-06,
                3.2887494564857185e-06,
                3.28874906420424e-06,
                1.7603440526806268e-06,
                4.222834953896582e-06,
                6.9622537576631295e-06,
                2.5612819052374947e-06,
                2.561281599881745e-06
            ],
            [
                8.315281267430323e-07,
                3.2887478891128633e-06,
                9.422444815495185e-07,
                1.7603425835749741e-06,
                1.760344052632596e-06,
                3.726638839395927e-06,
                1.7603434229832599e-06,
                1.0677027427413698e-06,
                2.561283431942246e-06,
                2.9023123309287002e-06
            ],
            [
                0.9999038975965423,
                0.9999038975509963,
                1.670142381757896e-05,
                0.99997569976797,
                0.9999852610197885,
                0.9993736659071449,
                0.9999485578047708,
                0.9997040427950904,
                0.9999417087136521,
                0.9999546021314502
            ],
            [
                6.144172403201774e-06,
                1.0129989771657269e-05,
                0.9875683463454974,
                8.939696301839653e-06,
                4.5397868612593344e-05,
                1.6701421840318107e-05,
                0.9999687980849155,
                0.9999546021205622,
                1.3007131563176482e-05,
                6.962255416759247e-06
            ],
            [
                0.9999910602994362,
                0.9999756997650787,
                0.9999724643023675,
                0.9999485577741123,
                0.9995694430197559,
                0.9999852610233151,
                0.9999832985841457,
                0.9999687980923763,
                0.9999646437408746,
                0.9999646437535196
            ],
            [
                2.5612825159421147e-06,
                5.4222196154940574e-06,
                3.1201903768249435e-05,
                1.8925141465820123e-05,
                3.7266397278791014e-06,
                4.785094494402695e-06,
                5.422220262037209e-06,
                1.3007125361448172e-05,
                1.0129993391808207e-05,
                7.889265404959923e-06
            ],
            [
                1.1478765382927399e-05,
                0.9999724643154754,
                1.3007123810306773e-05,
                0.9971990728221769,
                0.9999151889184558,
                0.9999599362887259,
                0.9982992775614862,
                1.4738978429722525e-05,
                0.9998911030520503,
                8.481108142201531e-05
            ],
            [
                6.962259568509485e-06,
                1.0129994593249448e-05,
                4.222832940162684e-06,
                2.2603251057881422e-06,
                3.2887506333394084e-06,
                1.067702997240607e-06,
                4.222833444037741e-06,
                1.5534984952492866e-06,
                4.222831932888989e-06,
                1.5534971989427613e-06
            ],
            [
                0.9997694932848212,
                0.9997388097541877,
                0.9995121427675735,
                0.9998911031307502,
                0.9998204719917447,
                0.9998601778929741,
                0.9999151889384932,
                0.9997388096912398,
                0.9998415638023241,
                0.9999251537727964
            ],
            [
                0.9999251537819251,
                1.0129990973134934e-05,
                0.9999251537906448,
                0.9996200154799418,
                0.99944722126419,
                0.9999869928668873,
                5.42221961567159e-06,
                0.9997694932047321,
                0.9992903295563594,
                0.9999546021314575
            ],
            [
                0.9999869928746395,
                0.9999038975851193,
                0.9998911030521677,
                0.999948557780244,
                0.9999339478239027,
                0.9999485578047951,
                0.9992903296941897,
                0.999915188938579,
                0.9995121429593019,
                0.9999417087206531
            ],
            [
                6.144173136455602e-06,
                1.7603434231505666e-06,
                2.260324028351814e-06,
                7.889264465842609e-06,
                6.962254588281262e-06,
                8.939699498587217e-06,
                2.260323489410794e-06,
                5.422220262264056e-06,
                6.144177531007026e-06,
                1.1478773597390071e-05
            ],
            [
                2.902312677084523e-06,
                0.9998911030780644,
                0.999620015429156,
                1.3007128457485415e-05,
                1.147877086020957e-05,
                0.9997388097568628,
                6.144177531532303e-06,
                2.561283431942246e-06,
                1.6701421832723305e-05,
                6.962254588281262e-06
            ],
            [
                0.9999832985841317,
                0.9999810748427408,
                0.9999151889891291,
                0.99996879809608,
                0.9999339478397375,
                0.9999930377412608,
                0.9999687980886797,
                0.9999151889587016,
                0.9999756997621879,
                0.999972464295784
            ],
            [
                4.222834451012227e-06,
                1.3007134665674251e-05,
                7.48462265620274e-05,
                6.1441724029223715e-06,
                1.8925143710057227e-05,
                5.144219519029225e-05,
                5.422219615286937e-06,
                3.120191127637186e-05,
                1.5534973833595155e-06,
                1.0129993390942177e-05
            ],
            [
                1.994729008056074e-06,
                8.315284240766063e-07,
                1.0129990975235516e-05,
                4.785096205512581e-06,
                7.338211554137806e-07,
                2.902312330759764e-06,
                5.422218968477564e-06,
                1.0677027426088186e-06,
                1.2098655390825003e-06,
                9.422450431012186e-07
            ],
            [
                0.9999599362887689,
                9.610239055589171e-05,
                0.9999038975624249,
                0.9997388096308225,
                0.9986749776014266,
                0.9994472213271879,
                0.9999687980997952,
                2.5612819051722694e-06,
                0.9999687980997952,
                0.9999417087067621
            ],
            [
                0.9999646437451225,
                0.9996200154704458,
                0.9924227576746281,
                0.9996200155166548,
                0.9999832985781566,
                0.9999546021259791,
                0.9999646437408728,
                0.9999599363126035,
                0.9999038975736046,
                0.9999724642990687
            ],
            [
                0.9999151889284886,
                0.0002034270138728933,
                0.9991959139663017,
                0.9988304897465036,
                0.9995121429446278,
                0.9988304897137301,
                2.144495351940237e-05,
                0.9997040430076342,
                0.07585818628900447,
                0.9995694428708782
            ],
            [
                1.012999459934851e-05,
                0.9998911031167924,
                4.222832940715735e-06,
                3.726639283752725e-06,
                1.4738983723235332e-05,
                1.3007133093616717e-05,
                1.3007125356479674e-05,
                4.7850927830845245e-06,
                7.889266345196678e-06,
                0.9999251537730732
            ],
            [
                0.9998601778762229,
                0.9999832985761665,
                0.9999687980812314,
                0.9999945777810327,
                0.9999921107364813,
                0.9999646437577704,
                4.7850950647493785e-06,
                4.0063711080747547e-05,
                0.9998911030912727,
                0.9999869928653392
            ],
            [
                6.605214423184104e-05,
                0.9999339478474842,
                0.9997694931756165,
                0.9997040430088311,
                0.9953904288184202,
                0.9999038976082038,
                0.9997694933131654,
                0.9995694429643182,
                0.9990889488870324,
                0.9999038975854193
            ],
            [
                3.2887490649759413e-06,
                6.144173135628569e-06,
                4.785093922524176e-06,
                8.315281266658928e-07,
                1.7603434230921292e-06,
                2.561282515289864e-06,
                9.422442567152048e-07,
                1.1478773588745944e-05,
                2.5612831263510383e-06,
                1.067702869764479e-06
            ],
            [
                0.9994472213905395,
                0.9998601779096806,
                0.9999251537907352,
                0.9999038975968227,
                0.9998415637274932,
                0.9999038975739655,
                0.9998204719499815,
                0.9998204720134297,
                0.999933947824102,
                0.9998911030654996
            ],
            [
                0.9997040430110785,
                0.9997694932298903,
                2.430024360881804e-05,
                0.9997694932306616,
                0.9997388095998615,
                0.9996200155159252,
                0.9993736658260779,
                0.9975273769369727,
                0.9978172837022192,
                0.9996646498940424
            ],
            [
                0.9999852610180324,
                0.9999485577986784,
                3.7266383950934104e-06,
                0.9999898700054003,
                0.9999832985821483,
                0.999975699767985,
                0.9999546021259903,
                0.9999885212277747,
                0.9999885212264016,
                0.9999810748427546
            ],
            [
                0.999985261021544,
                6.962253759271479e-06,
                0.00043055712042911853,
                1.3007123809644304e-05,
                2.5612825151640725e-06,
                6.9622537587775775e-06,
                1.3709576970213355e-06,
                1.0129989769722525e-05,
                2.430023780286534e-05,
                3.12019150514328e-05
            ],
            [
                0.9999687980998373,
                0.9994472214575892,
                0.9999546021476502,
                0.00023050666865842846,
                0.9999599363030699,
                0.999860177943122,
                1.8925155001402863e-05,
                1.14787667504103e-05,
                0.9998415637085838,
                0.9999151889182842
            ],
            [
                0.9997694933681567,
                0.9999038976083912,
                0.9998204720344616,
                0.9999417087415625,
                0.9997965730756625,
                0.9998766053812275,
                0.9996646497332812,
                0.9990889489196163,
                0.9995121427657854,
                0.9999151889790302
            ],
            [
                0.9997965730523878,
                0.9999599362935236,
                0.9999646437451295,
                1.3007134658505415e-05,
                0.9999339478790639,
                0.9999646437324546,
                0.999738809629067,
                0.9999687980886505,
                1.4738985470206506e-05,
                0.9996646500107031
            ],
            [
                1.994730672439908e-06,
                1.76034258364702e-06,
                0.999447221231453,
                0.9980732650514631,
                1.2098661161239298e-06,
                1.2098656834195822e-06,
                1.1478764019787597e-05,
                0.9959298617838922,
                3.120192621634449e-05,
                1.0129992186774007e-05
            ],
            [
                3.7266379512112265e-06,
                2.561282821209454e-06,
                1.9947292458603553e-06,
                4.222832940715735e-06,
                1.2098662603631479e-06,
                1.553498495295912e-06,
                1.5534973841309562e-06,
                1.3709567164962755e-06,
                3.288749065029781e-06,
                2.9023112928785396e-06
            ],
            [
                0.9999832985741784,
                0.9999810748450502,
                0.9998415638407746,
                0.9999546021151405,
                0.9999599363126035,
                0.9999646437408697,
                0.9998204720132102,
                0.9999251537906513,
                0.9999810748562856,
                0.9999546021368443
            ],
            [
                0.999975699767985,
                0.9999599362887689,
                0.9999599362935525,
                0.9999687980811924,
                0.9999852610162773,
                0.9998415637268824,
                0.9999832985741818,
                0.9999485577864269,
                0.9999485577986358,
                0.9999687980923623
            ],
            [
                0.9993736659129745,
                0.9964063965665445,
                0.9998204720339836,
                2.7535694375867267e-05,
                0.9998601778931084,
                0.9999151889790481,
                0.999860177877584,
                0.999373665758601,
                0.9998415638403344,
                0.9997040430088311
            ],
            [
                1.370957697068717e-06,
                2.5612828211442287e-06,
                4.222833947282995e-06,
                3.7266397278180926e-06,
                4.222833444037741e-06,
                2.9023116388969785e-06,
                2.2603251060738913e-06,
                2.561283431942246e-06,
                3.7266388395620047e-06,
                2.902313022984344e-06
            ],
            [
                0.9999546021422155,
                7.484619998317078e-05,
                0.9999417087206625,
                4.006368735928331e-05,
                0.999925153763944,
                0.9999546021152388,
                0.9999599363030722,
                0.9999151889384932,
                0.9998766054399983,
                0.9999921107345934
            ],
            [
                0.9999885212291404,
                0.999988521235987,
                0.9999974387168735,
                0.999992110738356,
                4.785096775998733e-06,
                0.9999898700114399,
                0.9999987901347493,
                0.9999921107402433,
                0.9999921107345942,
                0.999992110735535
            ],
            [
                0.9998766053667189,
                0.9999599363126659,
                0.9993736657603864,
                0.999968798073805,
                0.9999546021097423,
                0.9999546021423388,
                0.9999687980997979,
                0.9999599362983397,
                0.9999646437451345,
                9.610242493267474e-05
            ],
            [
                3.288748672413347e-06,
                9.42244930849811e-07,
                2.9023116388969785e-06,
                2.9023109467598367e-06,
                2.561282515289864e-06,
                3.7266401716055872e-06,
                1.5534971989568904e-06,
                4.222834450589758e-06,
                8.315277302444853e-07,
                4.2228339475595195e-06
            ],
            [
                0.9999930377454123,
                0.9999869928668877,
                0.9999599363221718,
                0.9999687980923908,
                0.9999687980774866,
                0.9999546021151535,
                0.9999885212318821,
                0.9999646437324888,
                0.9999785550541627,
                0.9999810748449992
            ],
            [
                0.999983298574177,
                0.9998601779430081,
                0.9999810748562783,
                0.9999832985741774,
                0.9999810748495187,
                0.9999885212264112,
                0.999978555056703,
                0.9999852610127649,
                0.999985261011012,
                0.9999898700066094
            ],
            [
                0.00020342697141375216,
                0.10669059820623797,
                0.9997040429384109,
                0.9997694932589922,
                6.962253759486771e-06,
                1.67014258067487e-05,
                0.9982992777735683,
                0.9975273766630417,
                0.9998911030391019,
                0.9996200154726678
            ],
            [
                0.00017952804795252656,
                0.9999646437577197,
                0.9999038976196701,
                0.9999485577864038,
                6.60521444778882e-05,
                0.9999785550516034,
                0.9993736657603864,
                0.9997040427983367,
                0.999933947871222,
                4.5397890002695076e-05
            ],
            [
                0.9999810748540273,
                0.9999852610215446,
                0.9999930377445819,
                0.9999869928746385,
                0.9999151889386154,
                0.999988521234614,
                0.9999785550490341,
                0.9999785550541526,
                0.9999852610197898,
                0.9999485577925354
            ],
            [
                0.9999251537460211,
                0.9998911031039217,
                0.9999910603068948,
                0.9999785550490417,
                0.9999852610127603,
                0.9999546021097657,
                0.9999832985841324,
                0.9999485578049403,
                0.9999646437324528,
                0.9999546021205761
            ],
            [
                0.9999646437535405,
                0.9990889487814926,
                0.9989677688243548,
                0.9975273767308066,
                0.9994472212728728,
                0.9997965729303999,
                0.9999339478397001,
                5.422217029391264e-06,
                0.9996646497335154,
                3.2887498488809053e-06
            ],
            [
                4.785093923916815e-06,
                0.9989677688950606,
                0.9997694933679286,
                0.9998204719913294,
                0.999796573027361,
                0.9975273763954277,
                0.0013250227031272495,
                0.999738809568285,
                0.007577240847657761,
                1.0129989769962063e-05
            ],
            [
                1.5534979396645902e-06,
                3.72663839473414e-06,
                2.2603248365014775e-06,
                6.144175332596544e-06,
                2.561281599734989e-06,
                7.889264465555602e-06,
                2.260324297702111e-06,
                1.3709570433885908e-06,
                1.7603425835749741e-06,
                2.2603245667543567e-06
            ],
            [
                0.9999810748449992,
                1.6701417853595148e-05,
                0.999988521226408,
                0.9999251537998002,
                8.939695235487695e-06,
                0.9996646498148862,
                0.9999852610110034,
                0.9999151889693595,
                0.9998415638212313,
                0.9999810748472637
            ],
            [
                0.9997388096607576,
                0.9997965730997718,
                0.9998415637839841,
                0.9999417087484398,
                0.9997965730043467,
                0.9999038975854836,
                0.9999339478475554,
                0.9999417087067621,
                0.9996646498518251,
                0.9999646437367399
            ],
            [
                0.9999687980886474,
                0.999978555056717,
                0.9999756997505854,
                0.9998766054254681,
                0.9999417087206002,
                0.9999339478238508,
                0.9998766054253263,
                0.9999546021098202,
                0.9999687980811962,
                0.9999251537371604
            ],
            [
                0.9999885212305071,
                0.9959298613856102,
                0.9999885212359854,
                0.9999599362935143,
                8.939698433145498e-06,
                0.9999785550439235,
                0.9999910603036991,
                0.999994577779092,
                6.144176797998549e-06,
                0.9999756997621906
            ],
            [
                0.9999599362935286,
                0.9992903296405685,
                0.9996646497710006,
                0.9999339478711133,
                0.9999599362936022,
                0.9999485577986525,
                0.9999251537995719,
                7.889265405849647e-06,
                0.9997965729318826,
                0.9998911030521376
            ],
            [
                1.067702997127963e-06,
                1.5534973837070878e-06,
                2.9023116387069255e-06,
                3.2887486731641103e-06,
                3.7266410605974813e-06,
                1.6701421837158667e-05,
                1.0677032518316716e-06,
                1.7603436328289897e-06,
                0.05340333431947304,
                5.144220739530288e-05
            ],
            [
                0.9999599362982876,
                0.9998415637078393,
                0.9997965730272278,
                0.9998766053812096,
                0.9999546021367807,
                0.9999599363031239,
                0.9999930377404309,
                0.9997694932308292,
                0.999933947878971,
                0.9999910602994353
            ],
            [
                1.9947290080125335e-06,
                7.338209805090567e-07,
                6.475946437928669e-07,
                3.9278629384810027e-07,
                1.2098658276598493e-06,
                7.338208929831288e-07,
                2.2603253754284284e-06,
                1.3709570433661467e-06,
                5.043472278195839e-07,
                2.561283125288801e-06
            ],
            [
                0.9999832985741748,
                0.9999938558232035,
                0.9999646437577323,
                0.9999599363173831,
                0.9999785550592677,
                0.9999869928715496,
                3.12019076269651e-05,
                0.999986992865342,
                0.9999898700066077,
                0.9999930377462408
            ],
            [
                0.9999724643187513,
                0.9999852610145208,
                5.1442195089987364e-05,
                0.9999756997505913,
                0.999989870012645,
                0.9999251537819001,
                0.9999546021097292,
                0.9999832985821445,
                0.9999687980998373,
                0.9999339478791537
            ],
            [
                0.9999546021476212,
                0.9999599362887583,
                0.999915188979348,
                0.9998415638400577,
                0.9998204720985366,
                0.9999485578047674,
                0.9999785550464855,
                0.9999785550413645,
                1.1478770859917257e-05,
                0.99956944286072
            ],
            [
                5.422220260508458e-06,
                6.144172403827636e-06,
                1.067703251797684e-06,
                3.726637950851956e-06,
                1.5534975691241939e-06,
                1.67014238321306e-05,
                2.5612834317908303e-06,
                2.9023133679867307e-06,
                6.962257907158154e-06,
                4.222832940834793e-06
            ],
            [
                6.144173867608406e-06,
                0.9999646437451055,
                0.9998766054255596,
                0.9998601779594521,
                3.120190736850662e-05,
                0.999985261018032,
                0.9999485577925108,
                0.9998766053812275,
                2.1444953489522773e-05,
                1.3007134660776729e-05
            ],
            [
                0.9998766054696763,
                0.9998766053812616,
                0.9999339478474896,
                0.998967769067803,
                0.9999646437619537,
                0.9999546021477292,
                0.9999038975623201,
                4.539786858616951e-05,
                0.9999546021205543,
                0.9999687980998007
            ],
            [
                0.9997040429391773,
                0.9992903294789613,
                0.9947798731312345,
                5.8291279072880346e-05,
                4.539788476879124e-05,
                0.9940889311820642,
                0.9991959140914017,
                0.9740426418132223,
                0.9947798733029212,
                8.93969416907082e-06
            ],
            [
                0.9999785550413659,
                0.9999646437622067,
                0.9999724643154891,
                0.9999869928653333,
                0.999972464315471,
                0.9997694933416906,
                0.9999756997679721,
                0.9999810748517738,
                0.9999687980849379,
                0.9999485577741262
            ],
            [
                0.9998766053822096,
                0.9999417087553654,
                0.9999417087205958,
                0.9998601778595816,
                0.999964643736671,
                0.9997388096293482,
                0.9999251537996128,
                0.9997965729321845,
                0.9999339478791076,
                0.9992903295443473
            ],
            [
                6.144174601499446e-06,
                2.5612812946890944e-06,
                6.144172403067661e-06,
                1.147877086020957e-05,
                3.2887478889513447e-06,
                3.288750241410738e-06,
                2.902312676941983e-06,
                4.7850950649408664e-06,
                8.939698434153684e-06,
                2.5612822106841303e-06
            ],
            [
                7.8892607025437e-06,
                0.999933947863388,
                0.9998766053818181,
                1.4738978448810996e-05,
                0.9999251537729164,
                0.9999832985821435,
                0.9999646437450943,
                6.144176062777288e-06,
                0.9992903296725597,
                0.9999038976081689
            ],
            [
                0.9998415637275554,
                0.9998911030780359,
                0.9999546021422588,
                2.144494327788042e-05,
                0.9999339478319179,
                0.9999417087067388,
                0.9998766054399318,
                4.006368698763355e-05,
                0.9999485577986705,
                0.00010889694769296308
            ],
            [
                1.994729245345125e-06,
                2.5612834317535587e-06,
                3.288749062947982e-06,
                6.962257907880012e-06,
                4.2228349527213495e-06,
                4.22283193393364e-06,
                6.962254588116627e-06,
                5.144220110229275e-05,
                4.222835457852533e-06,
                6.144176796947993e-06
            ],
            [
                0.9999832985721999,
                0.9999417087553925,
                0.9999251537550157,
                0.9999599363030545,
                0.9999687980886555,
                0.9998415637465916,
                0.9999038976196352,
                0.9999546021097371,
                0.9999339478239545,
                0.9999151889790956
            ],
            [
                3.5356259125502595e-05,
                0.0013250224318477708,
                0.00010889696091391995,
                1.8925157257965367e-05,
                4.0063687392367425e-05,
                4.0063692165808155e-05,
                1.6701417859944398e-05,
                1.8925145981283003e-05,
                6.962258739271155e-06,
                4.006370636560259e-05
            ],
            [
                0.9999417087554018,
                0.9999852610162746,
                0.9999869928761908,
                0.9999724642957902,
                0.9999151889188692,
                0.9999546021259761,
                0.9999646437408994,
                0.9999417087484042,
                0.9999852610145198,
                0.9999339478555634
            ],
            [
                0.9999756997679721,
                0.9999852610180333,
                0.9999251537819763,
                0.9999646437577727,
                0.9999930377437513,
                6.144173868312501e-06,
                0.9998911030389356,
                0.9999687980923779,
                0.9999945777823274,
                0.9999724643056425
            ],
            [
                2.4300246499286082e-05,
                0.9988304897599666,
                0.9978172830906638,
                0.9997040428321691,
                0.999620015430162,
                0.9994472213326869,
                1.1478768116055965e-05,
                0.9997388096289986,
                0.9999339478553885,
                0.9997040430072724
            ],
            [
                1.670142980380249e-05,
                0.9998911030391447,
                0.9999810748540259,
                0.9998766053667942,
                1.3007131562845248e-05,
                6.605212868425745e-05,
                0.9999599362983116,
                0.9999687980774927,
                0.9998766053957486,
                0.9999251537462939
            ],
            [
                0.999860177893019,
                0.9999417087345535,
                0.9999832985841328,
                0.9998601778595165,
                0.9999885212359844,
                0.9998415637268294,
                0.9999599363221718,
                0.9998911030520788,
                0.9999599363173769,
                0.999796573003956
            ],
            [
                4.785094493532295e-06,
                3.726637951126493e-06,
                1.3709568798956654e-06,
                3.7266410605974813e-06,
                4.222831933795376e-06,
                1.8925145956015793e-05,
                2.5612819053166966e-06,
                3.2887478880061605e-06,
                1.5534977545243671e-06,
                2.561282210562998e-06
            ],
            [
                0.9999485578047809,
                0.9999687980960972,
                0.9964063976536817,
                1.3007123806876143e-05,
                0.9998766054253622,
                0.9998911030651462,
                0.9998766053961293,
                0.999903897619545,
                0.9964063976686881,
                0.9996200154276969
            ],
            [
                5.422219615582823e-06,
                7.889263525261671e-06,
                1.0677029972993568e-06,
                1.1478772228256871e-05,
                8.939699498587217e-06,
                4.22283193393364e-06,
                1.5534977544565482e-06,
                1.3709568799243436e-06,
                6.962254589617333e-06,
                1.0677033791437343e-06
            ],
            [
                0.9999599363031005,
                0.9999599362935236,
                0.9997040430093133,
                0.9998415637647842,
                0.9999546021314502,
                0.9998415637461353,
                0.9997388097235079,
                0.9997965731010088,
                0.999975699767967,
                0.9997965730767693
            ],
            [
                0.999988521226405,
                0.9997040430072724,
                0.9993736658460441,
                3.12019000524412e-05,
                0.999704042797002,
                0.9999038976079765,
                0.9993736658382106,
                0.9996646497316323,
                0.9999151889588787,
                0.9996646497712348
            ],
            [
                0.9995121429058563,
                0.9996646498220282,
                0.9999038975965941,
                0.9999756997621809,
                0.999512142827462,
                6.9622579059043994e-06,
                8.939693102865466e-06,
                1.3007126906982452e-05,
                0.9988304898795015,
                0.004609572700705827
            ],
            [
                0.9992903297239932,
                0.9997965729305833,
                1.892514597770291e-05,
                0.9999646437451712,
                0.9999869928746427,
                0.9999785550593163,
                0.9999785550516065,
                0.9999832985781673,
                0.9998415637270807,
                0.9999485577986492
            ],
            [
                0.9999599363222021,
                0.999891103090875,
                0.9999251537818217,
                0.9999417087345441,
                0.9999687980886947,
                0.9998911030519141,
                0.9999687980998082,
                0.9999687980998022,
                0.9998204720985366,
                0.9998415638021905
            ],
            [
                3.7266401722360055e-06,
                7.889265405677441e-06,
                8.93969950000193e-06,
                1.994729721004569e-06,
                1.2098652506746763e-06,
                6.144173135483279e-06,
                1.2098659717768927e-06,
                6.475947209314536e-07,
                5.422220907909759e-06,
                7.889262584508638e-06
            ],
            [
                0.9997965729789707,
                0.9999687980849129,
                0.999860177860143,
                0.9999339478711399,
                0.9999869928653372,
                0.9999251537372807,
                0.9999852610233055,
                0.9995121427678006,
                0.99995460211518,
                0.9998415638402215
            ],
            [
                0.999841563783749,
                0.9999646437408835,
                0.9997965730274498,
                0.9999646437450961,
                0.998967768799626,
                0.9999417087206625,
                0.99937366597597,
                0.9999852610215476,
                0.9999869928730887,
                0.9999485577741026
            ],
            [
                0.9997694931773939,
                0.9999687980812332,
                0.9999546021151456,
                0.9999646437408855,
                1.6701425815072606e-05,
                1.892514593508601e-05,
                5.14421951322801e-05,
                0.9999038976079765,
                0.999959936317381,
                0.9999151889385265
            ],
            [
                0.9993736659750226,
                0.9999417087206256,
                0.999738809568209,
                7.889266346746518e-06,
                0.9993736659883576,
                0.9995121429607778,
                0.9998601779600461,
                0.9998204720986411,
                0.9996646497333982,
                0.9992903294646789
            ],
            [
                0.9999151889183269,
                0.9997694931764818,
                1.1478765385432939e-05,
                0.9998766054548786,
                1.8925150489517924e-05,
                3.2887502407138142e-06,
                0.9996646498526447,
                2.4300249419722622e-05,
                1.670142780162997e-05,
                2.9023123304852425e-06
            ],
            [
                0.9997965729794797,
                0.9999485577863929,
                0.9999687980849222,
                0.9999785550515963,
                0.9999898700053989,
                0.9999810748427463,
                0.9999832985801554,
                0.9999756997563835,
                0.9999810748472509,
                6.96225707894582e-06
            ],
            [
                0.9998766054255219,
                0.9998204720562874,
                0.999860177876933,
                0.9999417087067299,
                1.8925150458536325e-05,
                0.9999546021205942,
                0.999933947878961,
                0.9996646500143718,
                1.4738988994498018e-05,
                0.9998601778601696
            ],
            [
                8.939695234983602e-06,
                0.9991959140607231,
                0.999941708755583,
                0.9999485577740962,
                4.222834954057889e-06,
                0.9999810748562864,
                0.9999417087414739,
                0.9999785550592795,
                0.9999724643187757,
                4.785096775171854e-06
            ],
            [
                1.20986539478945e-06,
                6.475949525834513e-07,
                2.2603234893861252e-06,
                8.315282258385822e-07,
                8.315277301945715e-07,
                1.5534975693347152e-06,
                6.475949525834513e-07,
                1.7603432132464244e-06,
                1.994729007936337e-06,
                5.043474081902134e-07
            ],
            [
                5.8291272239779075e-05,
                0.9999810748427604,
                0.00012339455697647618,
                0.9999485577680656,
                0.9999038976195339,
                0.9999251537461773,
                0.9999852610110034,
                0.9999869928684372,
                0.9999852610127625,
                0.9999810748517612
            ],
            [
                0.9999485577803114,
                1.3007130013288297e-05,
                0.9998601779265986,
                0.9999546021422155,
                0.9999546021422393,
                0.9997040428676117,
                1.8925152739677025e-05,
                0.99995993630786,
                0.9998204720346391,
                0.9999687980849731
            ],
            [
                0.997527376892179,
                0.9971990726817088,
                0.992422757128364,
                8.939693104410264e-06,
                2.4300232017599995e-05,
                1.3007134662054344e-05,
                0.9990889487006953,
                1.0129989758924796e-05,
                3.120190016072813e-05,
                0.9998911031173439
            ],
            [
                0.9999546021152625,
                0.9997965730040507,
                0.9999687980737588,
                0.9999151889387017,
                0.9996646498927155,
                0.9998766054412407,
                0.999796572930092,
                0.9999417087484639,
                0.999512142890501,
                0.9996646498910763
            ],
            [
                0.9992903294641835,
                0.9999852610145312,
                0.9996200155195953,
                0.999820471970039,
                0.9999599363174162,
                0.9997694933124477,
                0.9999151889486958,
                0.999860177859783,
                0.9999485577680165,
                2.1444950946558592e-05
            ],
            [
                0.9998204720995318,
                0.9999724642957851,
                0.999891103090875,
                1.8925157258585e-05,
                0.9997694933682104,
                0.9998766054105196,
                0.9999646437535146,
                0.9999038975509362,
                0.9999417087275736,
                0.9999151889488099
            ],
            [
                4.785096205512581e-06,
                9.422444815409489e-07,
                8.939698432202356e-06,
                3.2887478890769702e-06,
                4.785093923982095e-06,
                1.0129994599072117e-05,
                3.2887482810382622e-06,
                4.2228319339950885e-06,
                4.222833444168322e-06,
                2.5612819053166966e-06
            ]
        ]
    },
    {
        "q_id": "10479_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999869928715355,
                0.9999832985722024,
                0.9999994956524715,
                0.999999266178757,
                0.9999992661790195,
                0.9999957771680663,
                0.9999992661792819,
                0.999998239656367,
                0.9999970976873229,
                0.9999991684715759
            ],
            [
                0.9999996533674614,
                0.9999996533672549,
                0.9999992661788446,
                0.9999994956527121,
                0.999997438717484,
                0.999999352404893,
                0.9999974387168733,
                0.9999957771660523,
                0.9999885212264047,
                0.9999991684722698
            ],
            [
                0.9999957771675624,
                0.9999987901337396,
                0.999999057755743,
                0.9999962733598278,
                0.9999980052698033,
                0.999994577780384,
                0.9933071492676512,
                0.9999885212305086,
                0.9999977396759716,
                0.9999987901337396
            ],
            [
                0.9999938558268633,
                0.9999991684718732,
                0.9999930377454106,
                0.9999967112509347,
                0.9999991684721706,
                0.9999945777784448,
                0.9999921107345936,
                0.9999996940976636,
                0.9999986290424664,
                0.9999992661791944
            ],
            [
                0.9999485578047517,
                0.9924227572439198,
                0.9999945777797374,
                0.9999910603026305,
                0.9999810748472471,
                5.422217030614265e-06,
                NaN,
                0.9999898700053984,
                0.43782349911420193,
                0.9999910602994339
            ],
            [
                0.9999996940977001,
                0.9999982396569966,
                0.9999984465015046,
                0.9999989322975118,
                0.9999980052700408,
                0.9999994956524716,
                0.9999990577554061,
                0.9999832985781574,
                0.9999990577556307,
                0.9999994284992805
            ],
            [
                3.7266397280485686e-06,
                1.0129987354108855e-05,
                1.2098653950315304e-06,
                1.0677032518700286e-06,
                0.9980732650442993,
                1.8925148231579266e-05,
                0.00023050663126645703,
                3.2887506333812835e-06,
                6.9622545849505825e-06,
                2.753568770474574e-05
            ],
            [
                0.7310585727705127,
                0.9999898700041906,
                0.9999921107374148,
                0.9999957771655488,
                0.9999885212291376,
                0.9999945777829693,
                0.9999938558239333,
                0.9999687980960674,
                0.9999987901337396,
                0.9999982396569966
            ],
            [
                0.9999921107402414,
                0.9999832985781801,
                0.999995214903794,
                0.9999989322971299,
                0.9994472213406621,
                0.9999938558268634,
                0.999997097687669,
                0.999998790134028,
                0.999998005269803,
                0.9999987901346049
            ],
            [
                0.9999945777797375,
                0.999948557780225,
                0.999860177892673,
                0.9999832985841309,
                0.9999992661790196,
                0.9999930377437508,
                0.9999251537549112,
                0.9999910603068933,
                0.9999970976890528,
                0.9999785550567065
            ],
            [
                0.9999945777803843,
                0.9999992661792819,
                0.9999990577554061,
                0.9999984465020604,
                0.9999967112521109,
                0.9999995549150542,
                0.9999417087485848,
                0.999998790134605,
                0.9999995549150011,
                0.9999996940978825
            ],
            [
                0.9999986290426298,
                0.9999962733611603,
                0.9998766054545734,
                0.9999980052707541,
                0.9999984465022455,
                0.9999995549150011,
                0.9999756997592754,
                0.9999984465026158,
                0.9999869928761876,
                0.9999756997680085
            ],
            [
                0.6224593312018546,
                0.7057850216484837,
                0.022977371415375935,
                0.9999852610127654,
                0.9999038975965026,
                0.9999982396572065,
                0.9999251537549482,
                0.003593601896957355,
                0.348645142101806,
                0.37754066879814546
            ],
            [
                0.999999554914895,
                0.9999990577552937,
                0.9999984465015047,
                0.9999991684721706,
                0.9999984465020604,
                0.9999938558239345,
                0.9999869928746379,
                0.9999993524051246,
                0.9999962733611624,
                0.9999987901340281
            ],
            [
                0.9959298621198833,
                0.18242553047372242,
                0.9999910603068951,
                0.9999785550592568,
                0.9999810748472499,
                0.9999756997476845,
                0.3775406758018018,
                0.9999852610233002,
                0.9999687980923481,
                0.9999724643155044
            ],
            [
                0.9999921107383548,
                0.9999724643154743,
                0.9999921107336527,
                0.9999885212291387,
                0.9999984465015047,
                0.9999957771650453,
                0.9999977396757023,
                0.999981074844998,
                0.9999957771680656,
                0.9999810748540305
            ],
            [
                0.9997040430068247,
                0.9999852610233015,
                1.4738983720179032e-05,
                0.9999869928761898,
                0.9998601778759911,
                0.9999885212305063,
                5.144222586301276e-05,
                0.9999151889791851,
                0.9978172838538403,
                0.9980732651660841
            ],
            [
                1.7603436329554703e-06,
                0.0024726229297946014,
                1.9947301970451086e-06,
                3.7266383950934104e-06,
                0.00017952792186050042,
                0.9999546021260888,
                0.0009110511887845698,
                0.0019267346691480764,
                1.0129989770441144e-05,
                4.222833947728508e-06
            ],
            [
                0.9999930377437504,
                0.9999977396748938,
                0.9999938558261304,
                0.9999852610197849,
                0.9999898700126431,
                0.9997694932328883,
                0.9999485578047517,
                0.9964063968474994,
                0.999997097687669,
                0.999997438717484
            ],
            [
                0.9999910602994334,
                0.9999987901337396,
                0.9999852610233002,
                0.9999984465024307,
                0.9999984465028011,
                0.9999992661789321,
                0.999972464315468,
                0.9999986290426297,
                0.9999977396765106,
                0.9999982396572065
            ],
            [
                0.9992903297484717,
                0.999985261021543,
                0.9999980052705167,
                0.9989677689507607,
                0.9995121427723136,
                0.9982992774664149,
                0.9999921107383564,
                0.9998601778769839,
                0.9990889486847477,
                0.9998766054552215
            ],
            [
                0.9999982396574162,
                0.9999987901344607,
                0.9999992661786695,
                0.9995121429415057,
                0.999997438718095,
                0.9998601779773874,
                0.9999987901344607,
                0.9999930377412616,
                0.9999952149043687,
                0.9999910602994336
            ],
            [
                0.9999984465020603,
                0.99999862904312,
                0.9999546021313821,
                0.9999989322966208,
                0.9999967112505427,
                0.9999986290427931,
                0.9999974387177893,
                0.9999970976880148,
                0.999933947831754,
                0.9999992661786695
            ],
            [
                0.9999986290424666,
                0.9999991684721706,
                0.9999996533673375,
                0.9999992661792819,
                0.9999945777790913,
                0.9999992661788445,
                0.9999869928746402,
                0.9999957771655487,
                0.9999938558253983,
                0.9999974387177893
            ],
            [
                0.9999756997563805,
                0.0009110510833507033,
                0.9999251537638503,
                0.9980732649995254,
                0.9999852610110022,
                0.0008040858292826146,
                0.9978172831819406,
                0.9933071484503752,
                0.9978172839684435,
                0.9975273763207713
            ],
            [
                0.9991959139630748,
                0.9525741278322102,
                0.9997388096597697,
                0.9940889318223549,
                0.9992903296077105,
                6.962254589705982e-06,
                0.9998415638209939,
                0.9996646500115032,
                0.99994170874144,
                0.9626731162701729
            ],
            [
                0.9999991684722698,
                0.999999554914895,
                0.9999980052705165,
                0.999999266178932,
                0.9999984465024306,
                0.9999992661788445,
                0.9999984465026158,
                0.9999990577554061,
                0.999999495652712,
                0.9999982396572065
            ],
            [
                0.9999952149037942,
                0.06754669395523943,
                0.9999485577679945,
                0.9999151889899337,
                0.999925153765748,
                0.2942149783515163,
                0.7772998663336158,
                0.9999974387187053,
                0.9999251537729876,
                0.9999910602994353
            ],
            [
                0.9999810748540188,
                0.9982992774276748,
                0.9999485577740704,
                0.9999756997621906,
                0.9999417087067435,
                0.9998204720340828,
                0.9995694429165085,
                0.9992903295655233,
                0.9982992779898011,
                0.9959298616045709
            ],
            [
                0.999986992873088,
                0.9999687980812073,
                0.9999957771655491,
                0.9940889323203589,
                0.9988304897645903,
                0.9999938558268655,
                0.9999977396762411,
                0.9999852610127582,
                0.9999930377454105,
                0.9999952149032242
            ],
            [
                0.9999921107336528,
                0.9890130585433227,
                0.9999251537550087,
                0.9999980052702786,
                0.9997694933680964,
                0.9999967112505429,
                0.9999785550413645,
                0.9999885212359801,
                0.9999885212264016,
                0.9999646437535146
            ],
            [
                0.9999930377404307,
                0.9999945777790913,
                0.9999957771650453,
                0.9999957771680656,
                0.9999938558239343,
                0.9999986290421394,
                0.9999910603026305,
                0.9999987901337396,
                0.999998446502801,
                0.999290329581168
            ],
            [
                0.9999251537728645,
                0.9999339478319386,
                0.9997965729548672,
                0.9999724643023389,
                0.9999724642990605,
                0.9999885212291393,
                0.9999485578048953,
                0.9999646437450908,
                0.9997388096642459,
                0.9999599362887661
            ],
            [
                0.9999990577552937,
                0.9999945777816769,
                0.9999989322968754,
                0.9999982396569966,
                0.999998446502801,
                0.9999957771650453,
                0.9999977396754328,
                0.9999546021097371,
                0.9999987901337396,
                0.9999986290424664
            ],
            [
                0.9999756997534733,
                0.9999038975621404,
                0.9998601778610972,
                0.9999687980811962,
                0.9999952149037944,
                0.999948557761846,
                0.9999984465024306,
                0.9998415637459325,
                0.9999977396759717,
                0.9999989322968754
            ],
            [
                0.999820472098231,
                0.999796573099902,
                0.9998415637076041,
                0.9975273766285849,
                0.9998911030391447,
                0.9990889489848369,
                0.9997040429716577,
                0.3486451285660856,
                0.999620015514278,
                0.9999546021475986
            ],
            [
                0.9959298623407317,
                8.939699499432793e-06,
                0.999290329626286,
                0.9992903294616242,
                0.9947798745748531,
                0.9964063969892274,
                0.9990889489183448,
                0.9999151889487902,
                0.9875683462540258,
                0.9997694931767165
            ],
            [
                0.999985261019786,
                0.9999982396561571,
                0.9998204720555091,
                0.999998446502801,
                0.9999990577551815,
                0.9999962733598274,
                0.9999957771675625,
                0.9999921107374165,
                0.9999967112493665,
                0.9999852610197907
            ],
            [
                0.9999996533672549,
                0.9999977396746245,
                0.9999898700126439,
                0.9999992661789321,
                0.9999967112497586,
                0.9999989322973845,
                0.9999687980774769,
                0.9999994284994849,
                0.9999993524054334,
                0.9999984465022458
            ],
            [
                0.999997097687323,
                0.999569442914279,
                0.9999970976890528,
                0.9999832985781592,
                0.9999989322973846,
                0.9990889489002779,
                0.9999957771645419,
                0.9999970976876689,
                0.9579122675786775,
                0.9999952149032236
            ],
            [
                0.9999952149049355,
                0.9999930377420908,
                0.9999885212359804,
                0.9999724643121909,
                0.9999810748585286,
                0.9995694429768938,
                0.9999970976883609,
                0.9999485577741227,
                0.5621765008857982,
                0.9999599362986198
            ],
            [
                0.9999974387168733,
                0.9990889488663696,
                0.999997097686631,
                0.320821300824607,
                0.9999599363125955,
                0.9992903295380728,
                0.9999967112521109,
                0.997199073208464,
                0.997817283653031,
                0.9999962733589389
            ],
            [
                0.9997965729549589,
                0.9999991684718732,
                0.9999987901341723,
                0.9999986290423029,
                0.9999994284996211,
                0.9999994956524114,
                0.9999986290424664,
                0.9999957771675627,
                0.9999970976880148,
                0.9999980052693275
            ],
            [
                0.9999984465018753,
                0.9999646437408712,
                0.9999984465026158,
                0.9999952149066499,
                0.999999266178932,
                0.9999974387168734,
                0.999999352404893,
                0.9999970976887069,
                0.9998911031300515,
                0.999998239656367
            ],
            [
                0.9975273769157244,
                0.9997694932061472,
                0.9999885212291393,
                0.999088948797705,
                0.9999832985741757,
                0.9999869928761894,
                0.999512142953086,
                0.9996646497696542,
                0.9999724643121954,
                0.9999038975395677
            ],
            [
                0.9999974387187058,
                0.9999962733607161,
                0.9999994284993485,
                0.999997097687669,
                0.9999993524054334,
                0.9999967112509347,
                0.999999057755743,
                0.999996273360272,
                0.9999991684715759,
                0.9999982396567867
            ],
            [
                0.9999646437324344,
                0.9999997617631183,
                0.9999952149032236,
                0.9999945777829704,
                0.9999251537818069,
                0.9999869928730871,
                0.9999921107336527,
                0.9999921107336531,
                0.999997097686977,
                0.999999789756684
            ],
            [
                0.9999986290424663,
                0.9999417087555027,
                0.9999910603036963,
                0.9999993524050474,
                0.9999898700102285,
                0.9999970976887068,
                0.9999990577556308,
                0.9999852610197867,
                0.9999687980961138,
                0.9999990577552937
            ],
            [
                0.9999938558275957,
                0.999991060299434,
                0.9999646437408855,
                0.9999984465024306,
                0.9999982396572065,
                0.9999994284997573,
                0.9999991684719723,
                0.9999996533672962,
                0.9999994284993485,
                0.9999993524049703
            ],
            [
                0.9999945777790944,
                0.9999986290432835,
                0.9999546021367883,
                0.999997438717484,
                0.9999984465020604,
                0.9999977396746244,
                0.999985261011016,
                0.9999962733598274,
                0.9999869928684402,
                0.9999785550439215
            ],
            [
                0.9999869928715369,
                0.9999987901346049,
                0.9999989322967481,
                0.9999980052707542,
                0.9999977396759716,
                0.9999991684715758,
                0.9999986290429567,
                0.9999989322970028,
                0.9999251537905712,
                0.9999982396574164
            ],
            [
                0.9999967112513267,
                0.9999984465022455,
                0.9999977396754327,
                0.9999977396754328,
                0.9999986290432835,
                0.9999994284993485,
                0.999999495652712,
                0.9999987901338839,
                0.9999984465015047,
                0.9999967112517187
            ],
            [
                0.9999151889890594,
                0.9999990577552939,
                0.9999957771645419,
                0.9999885212305079,
                0.9999984465022455,
                0.999915188938561,
                0.9997694932031961,
                0.9999910603058283,
                0.9999996072139402,
                0.9999987901346049
            ],
            [
                0.9999756997650714,
                0.9999869928668849,
                0.99998526101803,
                0.9999785550413764,
                0.9999339478396017,
                2.1444953515423628e-05,
                0.9999756997621906,
                0.9999984465015046,
                0.999860177959267,
                0.9999832985701939
            ],
            [
                0.24508502416032488,
                0.9999599363030846,
                0.9999938558232011,
                0.9994472213858766,
                0.9999485577871201,
                0.34864513533394575,
                0.9999339478711677,
                0.9999251537461773,
                0.9999038975741654,
                8.939699500896292e-06
            ],
            [
                0.9999852610197881,
                0.9997388097216687,
                0.6791786926816161,
                0.798186787341014,
                0.9999852610145172,
                0.9999910603036964,
                0.817574471748733,
                0.9999417087275358,
                0.9998601778592663,
                0.9999984465016899
            ],
            [
                0.9999986290429567,
                0.9999930377404305,
                0.9999952149032237,
                0.999999266179107,
                0.9999995549151073,
                0.9999785550515972,
                0.999998790134028,
                0.9999952149066472,
                0.9999977396748938,
                0.9999945777784448
            ],
            [
                0.9999852610180304,
                0.9999885212277699,
                0.9999993524049703,
                0.9999945777810302,
                0.9999938558275957,
                0.999991060302631,
                0.9999989322972573,
                0.9999724643187533,
                0.9999945777829694,
                0.9999977396757024
            ],
            [
                0.997817283340154,
                0.9999417087137051,
                0.9989677690987743,
                0.9999646437408953,
                0.9971990727213781,
                7.484621826927065e-05,
                0.99998526101803,
                0.994779874275006,
                3.5356254894393866e-05,
                0.9999546021476133
            ],
            [
                2.7535700927485757e-05,
                0.9149009619539554,
                3.120191500080807e-05,
                0.9975273773596419,
                8.48110306528434e-05,
                0.9996200154297751,
                1.3007129999045263e-05,
                0.9988304899474963,
                0.9996200153987995,
                0.00037998447844789435
            ],
            [
                0.9999992661788445,
                0.999997438716568,
                0.9999869928715361,
                0.9999994284996893,
                0.999997438717484,
                0.9995694429170972,
                0.9999910603036976,
                0.9999646437493034,
                0.9999993524054334,
                0.9999974387184001
            ],
            [
                0.37754066879814546,
                0.9999921107392955,
                0.9999952149060758,
                0.9999962733607161,
                0.9999921107392955,
                0.22270014398423357,
                0.9999921107336528,
                0.9999869928761873,
                0.9999957771665557,
                0.5
            ],
            [
                0.16451645880021026,
                0.9999977396762411,
                0.9999938558239332,
                0.9999938558268633,
                0.9999945777797379,
                0.9999984465020603,
                0.9999967112521109,
                0.999948557761818,
                0.9999977396765105,
                0.9999977396751633
            ],
            [
                0.9999417087275825,
                0.9999991684722699,
                0.9999977396746244,
                0.37754066879814546,
                0.9993736658085893,
                1.0129987355785634e-05,
                0.9999646437622021,
                0.9999994956525317,
                0.999964643732444,
                0.9997040429750245
            ],
            [
                0.9999910602994336,
                0.9998911031297076,
                0.9999724642990664,
                0.9999546021476354,
                0.9999898700041907,
                0.9999546021313904,
                0.9999970976890531,
                0.9999992661786695,
                0.9999852610162742,
                0.9999938558232012
            ],
            [
                0.9999810748449924,
                0.999997097687669,
                0.9999339478632615,
                0.9991959138770716,
                0.9998415637075534,
                0.9999974387168733,
                0.9999967112497585,
                0.9995694428191731,
                1.8925157260443894e-05,
                0.9999986290429566
            ],
            [
                0.9984988174261996,
                0.9999599363030408,
                0.9999945777797414,
                0.9999852610145143,
                0.9997694932853645,
                0.9986749773722025,
                0.9999756997476897,
                0.9996200154731874,
                0.9999952149060757,
                0.9999885212277709
            ],
            [
                NaN,
                9.610242545705223e-05,
                0.9999869928715358,
                0.9999977396754327,
                0.9999962733602719,
                0.9999930377445804,
                0.9997694933708597,
                1.0129992185539456e-05,
                0.9999977396765105,
                0.9999251537371957
            ],
            [
                0.9982992773256857,
                0.9995121429484879,
                0.9995694430178895,
                0.9999810748540237,
                0.9993736656996498,
                0.9999038975507474,
                0.9999724643122028,
                0.9999646437577393,
                0.999841563746375,
                0.9989677689496802
            ],
            [
                0.9999962733616046,
                0.9999970976873228,
                0.9999885212277693,
                0.9999724643154672,
                0.9999993524052019,
                0.9999994284992805,
                0.9999832985801492,
                0.999994577782323,
                0.9999994956525918,
                0.9999832985821387
            ],
            [
                0.9998204720341507,
                0.9999921107392957,
                0.9999852610180342,
                1.4738976691331275e-05,
                0.9999687980849155,
                0.9999945777790913,
                0.9999485577925665,
                5.829129321831856e-05,
                0.00247262316984319,
                0.001926735046143959
            ],
            [
                0.9999982396559474,
                0.9999930377404307,
                0.9999962733598275,
                0.9999974387168733,
                0.9525741241296944,
                0.9999994956525317,
                0.9999785550541578,
                0.9999984465028011,
                0.9999599363034678,
                0.9998911030660794
            ],
            [
                0.9999599363173749,
                0.9988304900020283,
                0.9999957771660523,
                0.9999646437577393,
                0.9999546021314075,
                0.9999251537906317,
                0.9999930377429209,
                0.9999251537727775,
                0.999985261019786,
                0.9999810748517622
            ],
            [
                0.9999869928653341,
                0.9999869928746374,
                0.9999962733616045,
                0.9999984465018751,
                0.9999938558246666,
                0.9999599363030699,
                0.9999957771675625,
                0.9999038975965528,
                0.9998911030520932,
                0.9999869928746383
            ],
            [
                0.9999984465028011,
                0.9999994956526519,
                0.9999996072139402,
                0.9999980052695652,
                0.9999996940978095,
                0.9999991684722698,
                0.9999987901344607,
                0.999999266178932,
                0.9999984465016899,
                0.9999997617630332
            ],
            [
                0.9999687980738009,
                0.9999599363222021,
                0.9997694932047924,
                0.999988521229138,
                0.9998601778932265,
                0.9999339478318156,
                0.9999151889182929,
                0.9997040429726479,
                0.9995121428920337,
                0.9999852610232997
            ],
            [
                0.9999945777790913,
                0.9999974387177893,
                0.9999991684718732,
                0.9999987901340281,
                0.9999990577557434,
                0.9999977396757024,
                0.9999980052693275,
                0.9999989322967482,
                0.999796573101654,
                0.9999339478553573
            ],
            [
                0.9999339478238508,
                0.9998766053956859,
                0.9999869928746372,
                0.9999974387180947,
                0.9999724643023389,
                0.9984988176233828,
                0.9999885212359796,
                0.9999962733616046,
                0.999985261021543,
                0.9999885212318754
            ],
            [
                0.8175744739711883,
                0.9991959140533339,
                0.9995121427660125,
                0.9399133473013075,
                0.9990889489346632,
                0.0002305067665214626,
                0.9998766054107798,
                0.9997388096604004,
                0.977022628417363,
                0.9995121428224666
            ],
            [
                8.481103102244385e-05,
                0.022977369826395044,
                3.12019224440064e-05,
                0.9890130549912148,
                0.9964063972560095,
                7.484619964773597e-05,
                0.9984988179039759,
                0.0008040858372328894,
                0.9890130583814033,
                1.3007125356479674e-05
            ],
            [
                0.9999962733598274,
                0.9994472213276703,
                0.9999952149037942,
                0.9999038975627829,
                0.0024726230268477356,
                1.6701421834728333e-05,
                0.9999938558268633,
                0.9626731157347207,
                0.9993736657023824,
                0.9999885212291376
            ],
            [
                0.9999987901343165,
                0.9999995549151073,
                0.9999038975622648,
                0.9999869928746392,
                0.9999977396759716,
                0.9999993524051246,
                0.9999995549151073,
                0.9999485577619753,
                0.9999987901347492,
                0.9999980052707541
            ],
            [
                0.9999869928699867,
                0.24508500761839525,
                0.9999724643121839,
                0.999994577780384,
                0.9999898700114366,
                0.9999921107402358,
                0.9997040428654331,
                0.9999980052705164,
                0.8175744784160989,
                0.9998911030910572
            ],
            [
                0.9999987901347492,
                0.9999952149066462,
                0.9997040427595703,
                0.999997097688361,
                0.9999987901337395,
                0.9999832985801483,
                0.2018132270610754,
                0.9999898700114359,
                0.9999952149066462,
                0.9999546021151307
            ],
            [
                0.9999921107392953,
                0.999995777164542,
                0.9999984465020603,
                0.9999980052705164,
                0.9999974387168734,
                0.999996711252111,
                0.9999977396754327,
                0.999998629042303,
                0.9999945777797374,
                0.9999994956526519
            ],
            [
                0.9999977396751633,
                0.9999930377420909,
                0.9999982396561572,
                0.999999352405279,
                0.9999986290429573,
                0.999999266178932,
                0.9999989322966208,
                0.9999994284994849,
                0.9999992661791944,
                0.9999996072138465
            ],
            [
                0.9999724643056241,
                0.9999990577549568,
                0.9999980052700407,
                0.9999977396751633,
                0.9999885212264016,
                0.9999996533674201,
                0.9999970976869772,
                0.999997438717484,
                0.9999977396765106,
                0.99999844650169
            ],
            [
                5.1442238133528324e-05,
                0.9875683489981728,
                0.9875683471801755,
                0.9999485577986634,
                0.9978172835764598,
                0.9465966669987579,
                0.999915188969056,
                0.0002034269474169126,
                0.9999038975856193,
                0.9986749776855371
            ],
            [
                0.9998911031299358,
                0.9999546021273591,
                0.34864513533394575,
                0.9999785550413814,
                0.9995121428280865,
                0.9999646437620522,
                0.9999724643154906,
                0.9999687980998613,
                0.9999339478556221,
                0.9999251537728232
            ],
            [
                0.9999982396572065,
                0.9999990577556307,
                0.999998790134028,
                0.9999974387180947,
                0.9999810748495053,
                0.9999989322972572,
                0.9999990577552937,
                0.9999982396561571,
                0.9999938558261305,
                0.9999995549150541
            ],
            [
                0.9982992776162363,
                0.9999967112509347,
                0.9998415637838666,
                0.9999885212291438,
                0.9999977396748939,
                0.9999974387171787,
                0.9999991684720715,
                0.9999982396561573,
                0.9999970976876692,
                0.9999982396565769
            ],
            [
                0.9999417087136283,
                0.9975273771299303,
                0.9999982396572066,
                0.9999994284994167,
                0.9999038975624991,
                0.9999982396574163,
                0.9999990577549569,
                0.9999982396561572,
                0.9999485578048505,
                0.9999996072136125
            ],
            [
                0.9999962733602719,
                0.9999992661786696,
                0.9999992661790196,
                0.9999986290432835,
                0.99999893229713,
                0.9999987901338838,
                0.9999991684718733,
                0.9999980052709919,
                0.9999993524053562,
                0.9999962733616049
            ],
            [
                0.9999982396574163,
                0.9999869928653352,
                0.999975699767958,
                0.9999984465018751,
                0.99998987000419,
                0.9999980052693275,
                0.9999957771680661,
                0.9999995549148419,
                0.9999970976866309,
                0.9999982396565769
            ],
            [
                0.9999687980960662,
                0.9999785550515878,
                0.9999599362934916,
                0.9999646437371911,
                0.9999832985801471,
                0.9997040429023138,
                0.999997097687323,
                0.9999785550515897,
                0.9999910603036963,
                0.9999974387171787
            ],
            [
                0.9996646498162717,
                0.9997694933672714,
                7.889262584809997e-06,
                0.9997694933161969,
                0.9999339478474506,
                0.9999646437408933,
                0.9999898700078186,
                0.999985261021543,
                0.9999339478397569,
                1.1478764018827141e-05
            ],
            [
                0.9999962733620488,
                0.9999038975395789,
                0.9999962733593833,
                0.9999885212318748,
                0.999993855823935,
                0.9999832985761651,
                0.9999038976079275,
                0.9999970976873229,
                0.9999977396757022,
                0.9999970976880148
            ],
            [
                0.9993736659831112,
                0.9998601779447372,
                0.998830489847136,
                0.9998415638402491,
                0.9984988177516388,
                0.029312231599322523,
                0.9995121428238858,
                0.9840936094836096,
                0.0006263341786585415,
                1.4738976674655674e-05
            ],
            [
                6.9622570780973205e-06,
                0.998498817799975,
                0.9996646497725129,
                3.53562633126235e-05,
                0.9998204720776458,
                1.1478769490700865e-05,
                0.9947798746425605,
                0.999903897539506,
                0.9399133531922388,
                8.315279285251204e-07
            ],
            [
                0.9999977396746244,
                0.9999984465024306,
                0.9999898700066059,
                0.9999957771645421,
                0.9999898700066069,
                0.9999852610233005,
                0.9999974387171787,
                0.9999810748495063,
                0.9999990577551815,
                0.9999251537996416
            ],
            [
                0.999915188978879,
                0.9999785550439195,
                0.9999921107364745,
                0.9998911030648022,
                0.9999417087275647,
                0.9999038976194913,
                0.9998766054104872,
                0.9999885212264044,
                0.9999485578047914,
                0.9999599362982748
            ],
            [
                0.9999977396751633,
                0.999512142827093,
                0.9999982396572064,
                0.9999852610197855,
                0.9999977396757022,
                0.9999339478711234,
                0.9999151889688949,
                0.9999832985701977,
                0.999997097686631,
                0.9999869928684375
            ],
            [
                0.9999646437493394,
                0.9999970976880148,
                0.999992110737415,
                0.999985261014516,
                0.9999986290424664,
                0.9999952149037948,
                0.9999962733611605,
                0.9999687980849624,
                0.9999977396754327,
                0.999972464315471
            ],
            [
                0.9999724642990664,
                0.9999980052700408,
                0.9988304899447766,
                0.9999930377462408,
                0.992422760290392,
                0.997817283809216,
                0.999997438716568,
                2.7535681236473055e-05,
                0.9999485577679585,
                0.9999970976866309
            ],
            [
                0.9999984465028011,
                0.9999990577550691,
                0.9999987901340281,
                0.9999984465020603,
                0.9999994284993486,
                0.9999921107336526,
                0.9999996533672549,
                0.9997694933132795,
                0.999195914012881,
                0.9999991684721706
            ],
            [
                0.9986749776804537,
                0.0021827161060993137,
                0.9996200154258397,
                2.1444948396573396e-05,
                0.00012339455905914664,
                2.561281294644835e-06,
                3.1201922508819695e-05,
                4.539785776395774e-05,
                0.11920292671569666,
                0.9999810748540172
            ],
            [
                0.9999485577863596,
                0.9999945777810304,
                0.9999810748540177,
                0.9999974387187054,
                0.999991060302632,
                0.9999339478791676,
                0.9999599363221412,
                0.999915188928337,
                0.9999687980737526,
                0.9999646437535039
            ],
            [
                0.9998766054110653,
                0.9994472212851894,
                0.9984988179566744,
                0.9999967112497586,
                0.9999724643121909,
                0.9997040429713907,
                0.9993736659081287,
                0.996406397494446,
                0.9999724643056253,
                0.9988304895387113
            ],
            [
                0.9999417087553479,
                0.9998204720554777,
                0.9999599362934953,
                0.9999724643187554,
                0.9999785550592579,
                0.9998766054695848,
                0.9999339478631961,
                0.999860177959267,
                0.9992903297040554,
                0.9995121429436628
            ],
            [
                0.999997097687669,
                0.9999967112505427,
                0.9999962733607162,
                0.999993855823201,
                0.9999962733593833,
                0.9999977396746244,
                0.9999977396759717,
                0.9999991684721706,
                0.999999554914895,
                0.999998629042303
            ],
            [
                0.999985261021543,
                0.9999987901338838,
                0.9999952149055054,
                0.9999910603068933,
                0.9999869928668841,
                0.9999852610145151,
                0.9999945777816768,
                0.9999852610233009,
                0.9999930377445804,
                0.9999910603004997
            ],
            [
                0.9999869928668845,
                0.8519528038477824,
                0.9998911031037886,
                0.9998204719704961,
                0.9999756997650686,
                0.9999251537388033,
                0.9996200155241279,
                0.9999251537996128,
                0.9999967112493665,
                0.9997388095709753
            ],
            [
                0.9999977396759716,
                0.9999962733607162,
                0.9999993524052018,
                0.9999994284994849,
                0.999986992876195,
                0.9999984465015047,
                0.999999554914895,
                0.9999952149066464,
                0.9999938558232011,
                0.999997438717484
            ],
            [
                0.9997694932305475,
                0.9999962733616045,
                0.999989870009022,
                0.9997388097918516,
                0.9999898700078128,
                0.999996273360716,
                0.9999994956527121,
                0.9999938558232018,
                0.9997965730404603,
                0.9999756997650677
            ],
            [
                0.9999724642990617,
                0.00037998442904398923,
                0.9999785550439346,
                0.0031726835493852373,
                4.539786858947248e-05,
                0.0005527787364209718,
                0.003172682125276343,
                0.00012339455958160968,
                0.998498817984245,
                0.9999921107402364
            ],
            [
                0.9996200154811911,
                0.9999646437324317,
                0.9978172836368041,
                0.99998329858015,
                0.9999038975392628,
                0.9999251537639298,
                0.9999687980849168,
                0.0028009270685701196,
                0.999948557798623,
                0.9999869928715366
            ],
            [
                0.9999970976890529,
                0.9999938558268633,
                0.9999974387177893,
                0.9999990577557432,
                0.9999984465022455,
                0.9999910603036958,
                0.9999974387168733,
                0.9999977396746244,
                0.999995777164542,
                0.9999957771650456
            ],
            [
                0.999998629042303,
                0.999997097688015,
                0.9999996072136592,
                0.999998790134028,
                0.99999893229713,
                NaN,
                0.99999893229713,
                0.9999986290421395,
                0.9999991684717741,
                0.9999996940976271
            ],
            [
                0.9999646437535052,
                0.18242552602881165,
                0.0031726835442307567,
                0.9971990735069586,
                0.002472622810918873,
                0.9984988178502304,
                0.987568349181116,
                0.9990889489094967,
                0.006692849549775269,
                1.8925155002022494e-05
            ],
            [
                0.999664649813052,
                0.999997438717484,
                0.9999992661790195,
                0.9999930377437507,
                0.9999974387184,
                0.9999994284996893,
                0.9999982396569966,
                0.9999970976880149,
                0.9999938558239335,
                0.9999982396572065
            ],
            [
                0.9999339478710932,
                0.9999869928746368,
                0.9999957771680658,
                0.9999885212264018,
                0.9999785550541502,
                0.9998601778592663,
                0.999995777165549,
                0.9999910603068937,
                0.9999987901344607,
                0.9999646437366446
            ],
            [
                0.9999945777784448,
                0.9999987901344608,
                0.9999962733620489,
                0.9999993524049702,
                0.9999989322973846,
                0.9997694932989396,
                0.9999994956524716,
                0.999999057755743,
                0.9999982396567868,
                0.9999990577554061
            ],
            [
                0.9999974387177893,
                0.999994577782323,
                0.9999930377404305,
                0.999997097686631,
                0.9999938558232008,
                0.999993855826863,
                0.999569442910158,
                0.9999785550515878,
                0.9999869928761882,
                0.9999339478553573
            ],
            [
                0.9999980052695653,
                0.9999991684715759,
                0.9997388096916577,
                0.9999990577555185,
                0.9999992661791944,
                0.9999986290429567,
                0.9999989322966208,
                0.9999038975735753,
                0.9999974387187053,
                0.9999977396746246
            ],
            [
                0.9999990577555185,
                0.9999995549150542,
                0.9999990577549568,
                0.9999987901341723,
                0.9999990577554061,
                0.9999970976883608,
                0.9999987901346049,
                0.9999986290427931,
                0.9999991684720715,
                0.9999986290421394
            ],
            [
                0.9999970976876689,
                2.9023116391675407e-06,
                0.999925153772784,
                0.9999038975621606,
                0.9999151889891562,
                0.9997388097238044,
                0.9999885212264008,
                0.9996200154784605,
                0.0002611904311070333,
                0.9999885212305057
            ],
            [
                0.9999994956525318,
                0.9999974387184,
                0.9997388096485906,
                0.9999898700114355,
                0.999998446502801,
                0.9999987901344607,
                0.9999984465022455,
                0.9999991684717742,
                0.999998790134028,
                0.651354857898194
            ],
            [
                0.9999910603058276,
                0.9999687980960773,
                0.9999980052700408,
                0.9999970976873229,
                0.9999991684718732,
                0.999998446502801,
                0.9999938558253989,
                NaN,
                0.9999151889182053,
                0.9999990577556308
            ]
        ]
    },
    {
        "q_id": "10587_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999995549150542,
                0.9999982396574163,
                0.9999991684717742,
                0.9999990577551814,
                0.9999992661788445,
                0.9999996072139402,
                0.999999554914895,
                0.999998239656367,
                0.9999995549149481,
                0.9999982396561572
            ],
            [
                0.9999994956527722,
                0.9999986290421394,
                0.9999986290421394,
                0.9999993524049702,
                0.9999991684719723,
                0.9999994956525918,
                0.9999995549147358,
                0.9999994284996211,
                0.9999994956525317,
                0.9999987901346049
            ],
            [
                0.9999984465026158,
                0.9999980052709919,
                0.9999996533674201,
                0.9999993524053562,
                0.9999977396765105,
                0.9999989322973846,
                0.9999986290432835,
                0.9999989322973846,
                0.9999980052705163,
                0.9999993524053563
            ],
            [
                0.9999991684719725,
                0.9999957771675624,
                0.9999989322968754,
                0.999999554914895,
                0.9999991684715759,
                0.9999993524051246,
                0.9999990577554061,
                0.9999993524052019,
                0.9999997300422868,
                0.9999990577550691
            ],
            [
                0.9999994284996893,
                0.9999993524052018,
                0.9999992661786696,
                0.9999989322975118,
                0.9999990577554061,
                0.9999996072136592,
                0.9999996533674615,
                0.9999995549151073,
                0.9999996940977731,
                0.9999993524052018
            ],
            [
                0.9999970976890528,
                0.9999989322975118,
                0.9999994284996893,
                0.9999996072137998,
                0.9999993524053562,
                0.999999495652652,
                0.9999993524050473,
                0.9999994284992805,
                0.9999991684722697,
                0.9999987901347492
            ],
            [
                0.9999990577554061,
                0.9999996072138465,
                0.9999996072137529,
                0.9999986290431201,
                0.9999996533672135,
                0.9999996940977366,
                0.9999994956523512,
                0.9999995549147889,
                0.9999994284994849,
                0.9999996533675028
            ],
            [
                0.9999987901344607,
                0.9999994956527722,
                0.9999992661788445,
                0.9999984465020603,
                0.9999990577549568,
                0.9999989322975118,
                0.9999984465028011,
                0.9999984465016899,
                0.9999994956524716,
                0.999998005269803
            ],
            [
                0.9999996940977731,
                0.9999995549151072,
                0.9999996072139402,
                0.9999993524050473,
                0.9999996940977002,
                0.9999997897565838,
                0.9999991684718733,
                0.999999352405279,
                0.9999990577555185,
                0.9999945777797375
            ],
            [
                0.9999980052705163,
                0.9999991684715759,
                0.9999984465018751,
                0.9999995549150011,
                0.9999996533673375,
                0.9999984465024306,
                0.9999996533674202,
                0.9999986290429567,
                0.999999554914895,
                0.9999994284995529
            ],
            [
                0.9999982396574163,
                0.9999990577552937,
                0.999997438716568,
                0.9999930377404307,
                0.999997438717484,
                0.9999885212305073,
                0.9999967112497585,
                0.999999057755069,
                0.9999962733602717,
                0.9999962733598277
            ],
            [
                0.9999990577556308,
                0.9999987901344607,
                0.9999991684719723,
                0.999999694097846,
                0.9999996940977002,
                0.999999352405279,
                0.9999996533672962,
                0.9999996940977731,
                0.999999057755743,
                0.9999991684715759
            ],
            [
                0.9999995549150542,
                0.9999996072137529,
                0.9999986290431201,
                0.9999995549147889,
                0.9999986290429566,
                0.9999989322970027,
                0.9999993524054334,
                0.999998790134028,
                0.9999997300420937,
                0.9999994956523514
            ],
            [
                0.9999989322966208,
                0.9999996072139402,
                0.9999994956527121,
                0.9999994956523514,
                0.999999554914895,
                0.9999991684722698,
                0.9999995549147358,
                0.9999991684715759,
                0.9999994956523514,
                0.9999995549150542
            ],
            [
                0.9999991684719723,
                0.9999992661791071,
                0.9999995549147358,
                0.9999997617630333,
                0.9999989322972572,
                0.9999991684715759,
                0.9999991684721706,
                0.9999986290429566,
                0.9999992661792819,
                0.9999967112501505
            ],
            [
                0.9999993524053562,
                0.9999995549148419,
                0.9999984465026158,
                0.9999994284994167,
                0.9999996533674615,
                0.9999994956526519,
                0.9999989322968754,
                0.9999996072136125,
                0.9999994956527121,
                0.9999994284997573
            ],
            [
                0.9999984465018751,
                0.9999982396563669,
                0.9999984465024306,
                0.9999993524049703,
                0.9999980052700408,
                0.9999977396746245,
                0.9999986290432834,
                0.9999993524052789,
                0.999997438716568,
                0.9999977396765105
            ],
            [
                0.9999986290421394,
                0.9999991684722698,
                0.9999990577549568,
                0.9999993524052019,
                0.9999994956527121,
                0.9999993524053562,
                0.9999994284996893,
                0.999999266179107,
                0.999999352405279,
                0.9999996940977731
            ],
            [
                0.9999982396569966,
                0.9999984465015046,
                0.999998446502801,
                0.9999994956524114,
                0.999997438717484,
                0.9999980052695652,
                0.9999980052700407,
                0.9999974387184,
                0.9999994284996211,
                0.9999982396567868
            ],
            [
                0.9999993524054334,
                0.9999982396569966,
                0.9999991684719723,
                0.999999057755743,
                0.99999862904312,
                0.9999974387180947,
                0.9999986290427932,
                0.9999984465018751,
                0.9999994284993485,
                0.9999989322966208
            ],
            [
                0.9999984465024306,
                0.9999982396574163,
                0.9999994284996211,
                0.9999982396561572,
                0.9999990577556307,
                0.9999984465020603,
                0.9999991684717742,
                0.999998790134605,
                0.9999962733602717,
                0.9999980052693274
            ],
            [
                0.9999994956524115,
                0.9999999006879838,
                0.9999994956524716,
                0.9999996533675028,
                0.9999995549148419,
                0.9999993524052018,
                0.9999994284997573,
                0.9999997617631184,
                0.9999997897567341,
                0.9999997617629764
            ],
            [
                0.9999989322970027,
                0.9999986290423029,
                0.9999995549147358,
                0.9999984465016899,
                0.9999990577549568,
                0.9999994284997573,
                0.999999352405279,
                0.9999995549147358,
                0.9999987901338838,
                0.9999992661791944
            ],
            [
                0.9999995549150011,
                0.9999993524054335,
                0.9999991684721706,
                0.9999994284997573,
                0.9999992661791944,
                0.9999995549149481,
                0.9999987901337396,
                0.9999989322966208,
                0.9999993524051246,
                0.999999554914895
            ],
            [
                0.9999984465020603,
                0.9999987901341723,
                0.9999990577552937,
                0.9999996533674201,
                0.9999990577550691,
                0.9999991684715759,
                0.9999989322972572,
                0.999999730042319,
                0.9999990577555185,
                0.9999990577552937
            ],
            [
                0.9999980052705164,
                0.9999990577554061,
                0.9999994956524114,
                0.9999952149072169,
                0.9999970976873229,
                0.9999982396559474,
                0.9999982396572064,
                0.9999989322968754,
                0.9999970976866309,
                0.9999994284997573
            ],
            [
                0.9999982396559474,
                0.9999986290421394,
                0.9999991684717742,
                0.9999996940977731,
                0.9999974387177893,
                0.9999989322973846,
                0.9999986290427931,
                0.9999994956523514,
                0.9999996072137061,
                0.9999994956524716
            ],
            [
                0.9999993524051246,
                0.9999995549148419,
                0.9999993524054335,
                0.9999996940977002,
                0.9999994284994849,
                0.9999996072138465,
                0.9999996072137998,
                0.9999994284997573,
                0.9999997617630333,
                0.9999980052695652
            ],
            [
                0.9999997300421581,
                0.9999987901347491,
                0.9999996533675028,
                0.9999994284994167,
                0.9999997617630333,
                0.9999992661791944,
                0.9999994956524716,
                0.9999992661786696,
                0.9999990577550691,
                0.9999998144609645
            ],
            [
                0.9999990577551814,
                0.9999990577555185,
                0.9999994284994849,
                0.9999996072138465,
                0.9999994284994167,
                0.9999980052693275,
                0.9999993524050473,
                0.9999984465016899,
                0.9999984465016898,
                0.9999994956524716
            ],
            [
                0.999999057755069,
                0.9999998555019791,
                0.9999982396565769,
                0.9999989322973846,
                0.9999991684715758,
                0.9999994284993486,
                0.999998790134605,
                0.9999996533672549,
                0.9999994284994849,
                0.9999996533673788
            ],
            [
                0.9999994956527722,
                0.9999996940977002,
                0.999999352404893,
                0.9999987901343165,
                0.9999996533674615,
                0.9999996072138934,
                0.9999992661788446,
                0.999999554914789,
                0.999999168471675,
                0.9999992661787571
            ],
            [
                0.9999989322975118,
                0.9999991684716749,
                0.9999957771655488,
                0.9999993524050474,
                0.9999992661790195,
                0.9999990577550691,
                0.9999986290421395,
                0.9999990577556308,
                0.9999989322971299,
                0.9999990577552937
            ],
            [
                0.9999990577549568,
                0.999999057755069,
                0.9999996072136592,
                0.9999967112501505,
                0.9999992661792819,
                0.9999986290421394,
                0.9999974387171787,
                0.9999989322968754,
                0.9999989322972572,
                0.999998790134028
            ],
            [
                0.9999995549147358,
                0.9999994956527722,
                0.9999994956524716,
                0.9999991684722698,
                0.9999996533673375,
                0.9999992661789321,
                0.999999168471675,
                0.9999991684720715,
                0.9999992661791944,
                0.9999991684718732
            ],
            [
                0.9999994284996211,
                0.9999989322973845,
                0.9999997300422546,
                0.9999996533672962,
                0.9999989322970027,
                0.9999997300422546,
                0.9999980052695652,
                0.9999977396757022,
                0.9999994284993486,
                0.9999996533673788
            ],
            [
                0.9999994956524115,
                0.9999996072137998,
                0.999998790134028,
                0.9999994284997573,
                0.9999992661786695,
                0.9999992661791944,
                0.9999993524054334,
                0.9999996940978825,
                0.9999996940976271,
                0.999999057755069
            ],
            [
                0.9999921107364742,
                0.9998415638398733,
                0.9999967112501507,
                0.9999810748585286,
                0.9999852610110009,
                0.9999910603068933,
                0.9999756997534733,
                0.9999546021259464,
                0.999985261018029,
                0.9999962733598273
            ],
            [
                0.9999987901337396,
                0.9999991684717742,
                0.999998629042303,
                0.9999990577549568,
                0.9999986290424663,
                0.9999990577552937,
                0.9999989322975118,
                0.9999990577552937,
                0.9999991684719725,
                0.9999996533674615
            ],
            [
                0.9999990577555183,
                0.9999991684716749,
                0.9999977396757022,
                0.9999967112521109,
                0.9999989322968754,
                0.999999352404893,
                0.9999987901344607,
                0.9999996072137529,
                0.999999266179107,
                0.9999989322972572
            ],
            [
                0.9999984465024306,
                0.9999994284995529,
                0.999999653367379,
                0.9999994956527121,
                0.9999995549151072,
                0.999999266179107,
                0.999999266179107,
                0.9999994956527121,
                0.9999989322966208,
                0.9999982396559474
            ],
            [
                0.999999352405279,
                0.9999994956527722,
                0.9999990577554061,
                0.9999991684721706,
                0.999999495652652,
                0.999999266179107,
                0.999999266179107,
                0.9999994284997573,
                0.9999994956526519,
                0.9999994284996893
            ],
            [
                0.9999990577556307,
                0.9999990577549568,
                0.9999993524054334,
                0.9999996072136592,
                0.9999989322968754,
                0.999999352405279,
                0.9999993524054335,
                0.9999990577554061,
                0.9999986290423029,
                0.9999991684721706
            ],
            [
                0.9999990577556307,
                0.9999994956524115,
                0.9999995549148419,
                0.9999994284996893,
                0.9999993524050473,
                0.9999987901338838,
                0.9999993524050473,
                0.9999994956523514,
                0.999999352405279,
                0.9999995549147358
            ],
            [
                0.9999990577556308,
                0.9999994284995529,
                0.9999987901346049,
                0.9999997300420937,
                0.9999987901337396,
                0.9999997300421581,
                0.9999993524053562,
                0.9999996533675028,
                0.9999991684715759,
                0.999999730042319
            ],
            [
                0.9999996533674614,
                0.9999996533673375,
                0.9999993524051246,
                0.9999991684718732,
                0.9999989322967481,
                0.9999984465015047,
                0.999999266179107,
                0.9999967112521108,
                0.9999996533672962,
                0.999999887464905
            ],
            [
                0.9999987901347492,
                0.9999986290421394,
                0.9999996072137998,
                0.9999995549151072,
                0.9999989322973845,
                0.9999994284995529,
                0.9999994284994167,
                0.9999996533674615,
                0.9999991684719725,
                0.9999995549150541
            ],
            [
                0.9999991684720715,
                0.9999986290427932,
                0.9999996533672962,
                0.9999990577556307,
                0.9999990577551814,
                0.9999993524051246,
                0.9999987901343165,
                0.9999997897567091,
                0.9999994956524114,
                0.9999994284992805
            ],
            [
                0.9999991684715758,
                0.9999995549151072,
                0.9999997897567091,
                0.9999998144608097,
                0.9999996533674202,
                0.9999993524051246,
                0.9999997617631469,
                0.9999980052693274,
                0.9999992661790195,
                0.9999994284992805
            ],
            [
                0.999999352404893,
                0.9999989322973845,
                0.9999990577552937,
                0.999999266179107,
                0.9999991684720715,
                0.999999168471675,
                0.9999994284994167,
                0.9999996072136592,
                0.9999992661792819,
                0.9999987901338838
            ],
            [
                0.9999991684715759,
                0.9999991684722698,
                0.9999994956523514,
                0.9999991684715759,
                0.9999994284994167,
                0.9999995549150541,
                0.9999989322971299,
                0.9999996940978825,
                0.9999986290426297,
                0.9999996072138465
            ],
            [
                0.9999996072137529,
                0.9999982396574163,
                0.999997438717484,
                0.9999998144608097,
                0.9999995549150541,
                0.9999997617630617,
                0.9999996072139402,
                0.9999991684715758,
                0.9999993524053562,
                0.9999990577549568
            ],
            [
                0.999998790134028,
                0.9999980052700408,
                0.9999945777803838,
                0.9999646437577183,
                0.999983298578157,
                0.9999952149066461,
                0.9999898700102279,
                0.9999546021205518,
                0.9991959139714929,
                0.9999646437408619
            ],
            [
                0.999995777166052,
                0.9999993524050473,
                0.9999832985781574,
                0.9999974387171787,
                0.9999967112505427,
                0.9999989322968753,
                0.9999986290426297,
                0.9999990577549568,
                0.999997438716568,
                0.999994577782323
            ],
            [
                0.9999992661787571,
                0.9999992661788445,
                0.9999993524053562,
                0.9999996072136592,
                0.9999993524049702,
                0.9999993524051246,
                0.9999994956527721,
                0.999999266179107,
                0.9999992661790196,
                0.9999990577557432
            ],
            [
                0.9999982396574163,
                0.9999989322975118,
                0.9999994956525317,
                0.9999990577555185,
                0.9999993524054335,
                0.9999992661790196,
                0.9999984465022455,
                0.9999996940976636,
                0.9999991684717742,
                0.9999977396759716
            ],
            [
                0.9999991684718732,
                0.9999982396561572,
                0.9999984465015047,
                0.9999977396759716,
                0.9999977396765105,
                0.9999989322975118,
                0.9999987901341723,
                0.9999967112493665,
                0.9999982396567867,
                0.9999996072137061
            ],
            [
                0.999998239656367,
                0.9999992661791944,
                0.9999990577551814,
                0.9999994284995529,
                0.9999995549147358,
                0.9999987901338838,
                0.9999994956523514,
                0.9999980052707541,
                0.9999995549151073,
                0.9999989322970028
            ],
            [
                0.9999993524052018,
                0.9999980052693274,
                0.9999989322968754,
                0.9999970976876689,
                0.9999998144608097,
                0.9999994956524114,
                0.9999996533672549,
                0.9999990577549568,
                0.9999991684716749,
                0.9999995549147358
            ],
            [
                0.9999994284997573,
                0.9999998555019274,
                0.9999992661787571,
                0.9999998144608983,
                0.999999352405279,
                0.9999993524049703,
                0.9999989322968754,
                0.9999986290423029,
                0.9999996533674202,
                0.9999990577549568
            ],
            [
                0.9999987901346049,
                0.9999967112521109,
                0.9999974387187053,
                0.9999957771670589,
                0.9999962733598275,
                0.9999974387168733,
                0.9999945777797377,
                0.9999962733602719,
                0.9999977396746244,
                0.9999989322970027
            ],
            [
                0.9999996072136125,
                0.999999266178932,
                0.9999991684719723,
                0.9999997300422225,
                0.9999994284993485,
                0.9999993524054334,
                0.9999996533672962,
                0.9999994956524716,
                0.9999996072137998,
                0.9999991684716749
            ],
            [
                0.9999995549147889,
                0.999999352404893,
                0.9999990577555185,
                0.9999996940978461,
                0.999999730042319,
                0.9999996940976636,
                0.999999266179107,
                0.9999996072137529,
                0.9999990577551815,
                0.9999996940977002
            ],
            [
                0.999999352404893,
                0.9999994956524115,
                0.9999990577549568,
                0.999998005269803,
                0.9999996072137998,
                0.9999994956526519,
                0.999999057755743,
                0.9999986290424663,
                0.999999352405279,
                0.9999982396559473
            ],
            [
                0.9999994284992805,
                0.9999994284996893,
                0.9999996940977366,
                0.9999982396569966,
                0.9999994956524115,
                0.999999495652652,
                0.9999989322970027,
                0.9999993524050473,
                0.9999992661791944,
                0.9999984465015046
            ],
            [
                0.9999989322973845,
                0.9999996072136592,
                0.9999995549148419,
                0.9999996940977002,
                0.9999996533674201,
                0.9999993524052018,
                0.9999987901343165,
                0.9999984465020603,
                0.9999977396762411,
                0.9999997617631752
            ],
            [
                0.9999996072137998,
                0.9999996072138934,
                0.9999991684717742,
                0.9999990577555185,
                0.9999987901338837,
                0.999998239656367,
                0.9999994284997573,
                0.999999057755069,
                0.9999995549150542,
                0.9999992661792819
            ],
            [
                0.9999996072136592,
                0.9999996533672135,
                0.9999996533675028,
                0.9999998362623528,
                0.9999994284992805,
                0.9999991684718732,
                0.9999996533675028,
                0.9999996533672549,
                0.9999997897567091,
                0.9999996072139402
            ],
            [
                0.999999352405279,
                0.9999998362623723,
                0.9999994284996211,
                0.9999994956525317,
                0.9999989322975118,
                0.9999989322975118,
                0.9999990577556308,
                0.999999855502048,
                0.9999993524051246,
                0.9999996940978095
            ],
            [
                0.9999984465022455,
                0.9999994956523514,
                0.9999974387165682,
                0.9999989322970027,
                0.9999994284993486,
                0.9999991684721706,
                0.9999991684720715,
                0.9999982396572065,
                0.9999986290429567,
                0.9999984465022455
            ],
            [
                0.9999992661790196,
                0.9999986290421395,
                0.9999990577549568,
                0.9999990577555185,
                0.9999991684720715,
                0.9999994956527721,
                0.9999996072138934,
                0.9999992661788446,
                0.999999554914895,
                0.9999994284995529
            ],
            [
                0.9999996072138465,
                0.9999990577554061,
                0.999999266179107,
                0.9999996533674615,
                0.9999993524049702,
                0.9999994284995529,
                0.999999653367379,
                0.9999996533673375,
                0.9999991684720715,
                0.9999995549150011
            ],
            [
                0.9999997897566338,
                0.9999989322967482,
                0.9999989322968754,
                0.9999984465022455,
                0.9999994956523514,
                0.9999996533672549,
                0.9999986290431201,
                0.9999990577554061,
                0.9999984465026158,
                0.99999893229713
            ],
            [
                0.9999993524050474,
                0.9999995549148419,
                0.9999984465018751,
                0.9999993524050474,
                0.9999995549147889,
                0.9999990577552937,
                0.9999991684720715,
                0.9999993524052018,
                0.9999996940978825,
                0.9999996072138465
            ],
            [
                0.9999995549150542,
                0.9999990577555185,
                0.9999994956527121,
                0.9999990577555185,
                0.9999993524049702,
                0.999998790134028,
                0.9999991684719725,
                0.9999990577555185,
                0.9999994284995529,
                0.9999991684716749
            ],
            [
                0.999999495652652,
                0.9999990577552937,
                0.9999994956527722,
                0.9999987901347491,
                0.999999266178932,
                0.9999957771650454,
                0.9999996072139402,
                0.9999989322968754,
                0.9999995549150541,
                0.9999986290426298
            ],
            [
                0.9999991684720715,
                0.999999266178757,
                0.9999980052709919,
                0.9999980052707541,
                0.9999982396567868,
                0.9999987901347491,
                0.9999987901344607,
                0.9999986290421394,
                0.9999990577556307,
                0.9999987901346049
            ],
            [
                0.9999996072137529,
                0.9999994956527722,
                0.9999984465018751,
                0.9999989322966208,
                0.9999996940977366,
                0.9999991684718732,
                0.9999994956523514,
                0.9999995549151073,
                0.9999992661791944,
                0.9999997897566089
            ],
            [
                0.9999998144608983,
                0.9999993524050474,
                0.9999996072137998,
                0.9999995549147358,
                0.9999992661786696,
                0.9999996940976272,
                0.9999996072138934,
                0.9999996533672135,
                0.9999992661788446,
                0.9999991684717741
            ],
            [
                0.9999993524049702,
                0.9999991684718732,
                0.9999997617631469,
                0.9999989322972572,
                0.9999996072136125,
                0.9999995549149481,
                0.9999995549147358,
                0.9999996072137529,
                0.9999996940977366,
                0.9999991684721706
            ],
            [
                0.9999987901338838,
                0.9999974387180947,
                0.9999992661789321,
                0.9999991684721706,
                0.9999984465024306,
                0.9999984465026158,
                0.9999987901337396,
                0.9999994284996893,
                0.9999986290424664,
                0.9999993524052018
            ],
            [
                0.9999986290426298,
                0.9999992661791071,
                0.9999987901347491,
                0.9999990577550691,
                0.9999997300421903,
                0.9999996072136592,
                0.9999994956524114,
                0.9999984465024306,
                0.9999989322972572,
                0.9999987901347491
            ],
            [
                0.999999266178932,
                0.9999992661786696,
                0.999999266178932,
                0.9999994956526519,
                0.9999996072136125,
                0.9999990577554061,
                0.9999992661791944,
                0.9999995549150011,
                0.9999998362622357,
                0.9999991684721706
            ],
            [
                0.999999352405279,
                0.9999995549150011,
                0.9999994284997573,
                0.999999168471675,
                0.9999991684720715,
                0.9999994956525318,
                0.9999994956523512,
                0.9999997617631184,
                0.9999987901347492,
                0.9999984465016899
            ],
            [
                0.999998239656367,
                0.9999993524053562,
                0.9999986290429566,
                0.9999984465015047,
                0.9999994956524716,
                0.9999996533673375,
                0.9999980052693274,
                0.9999990577552937,
                0.9999984465018751,
                0.9999992661791944
            ],
            [
                0.99999893229713,
                0.9999994956523514,
                0.9999977396765105,
                0.9999996072136125,
                0.9999989322972572,
                0.9999996533672549,
                0.9999989322973846,
                0.9999986290423029,
                0.9999996072136125,
                0.9999987901337396
            ],
            [
                0.9999994284992805,
                0.9999996940978825,
                0.9999991684715759,
                0.9999992661792819,
                0.9999996072136125,
                0.9999996072136125,
                0.9999996072137998,
                0.9999996940976636,
                0.9999996072136592,
                0.9999990577551815
            ],
            [
                0.9999992661790196,
                0.9999990577554061,
                0.9999989322970028,
                0.9999984465015047,
                0.9999997300422547,
                0.9999996533672549,
                0.9999996533672549,
                0.9999994284997573,
                0.9999996533672549,
                0.9999996072137998
            ],
            [
                0.9999994284995529,
                0.9999993524050474,
                0.9999992661792819,
                0.9999996072138465,
                0.9999995549150541,
                0.9999987901344607,
                0.9999992661792819,
                0.9999982396561572,
                0.9999996940978095,
                0.9999967112493665
            ],
            [
                0.9999989322971299,
                0.9999984465024306,
                0.9999993524049702,
                0.9999990577549568,
                0.9999996072137061,
                0.9999996533674615,
                0.999999057755743,
                0.9999997617629764,
                0.9999997300421581,
                0.9999993524054334
            ],
            [
                0.9999991684722698,
                0.9999994956524716,
                0.999999352404893,
                0.9999993524054335,
                0.9999994956527722,
                0.9999986290431201,
                0.999998446502801,
                0.9999990577551814,
                0.9999991684718732,
                0.9999991684720715
            ],
            [
                0.9999989322975118,
                0.9999993524049703,
                0.9999990577552937,
                0.9999986290431201,
                0.9999993524053562,
                0.9999986290427931,
                0.999999352404893,
                0.9999993524053562,
                0.9999989322972572,
                0.999999352404893
            ],
            [
                0.9999992661789321,
                0.9999996533674615,
                0.999999266179107,
                0.9999990577549569,
                0.9999995549151072,
                0.9999996940978095,
                0.9999994956526519,
                0.9999986290421394,
                0.9999991684718732,
                0.9999987901347491
            ],
            [
                0.9999992661786695,
                0.9999994956525918,
                0.9999993524053562,
                0.9999993524053562,
                0.9999994956527722,
                0.9999990577551814,
                0.9999996533672135,
                0.9999995549151072,
                0.999999554914895,
                0.9999987901347491
            ],
            [
                0.9999991684718732,
                0.9999997897565838,
                0.9999990577551814,
                0.9999984465018751,
                0.9999990577549569,
                0.9999992661791944,
                0.9999995549151072,
                0.9999986290421394,
                0.999998790134605,
                0.9999994284994849
            ],
            [
                0.9999997300422546,
                0.9999993524054334,
                0.9999984465018751,
                0.9999997300421903,
                0.9999992661791944,
                0.9999993524052018,
                0.9999994284996893,
                0.9999994956527121,
                0.9999994956527722,
                0.9999996940978825
            ],
            [
                0.9999993524053563,
                0.9999995549150542,
                0.9999987901343166,
                0.9999994956526519,
                0.9999994956525918,
                0.9999990577555185,
                0.9999996533672549,
                0.9999980052695652,
                0.9999996533672962,
                0.9999993524054335
            ],
            [
                0.9999994956527121,
                0.9999991684719723,
                0.9999996072136592,
                0.9999996940977366,
                0.9999977396746244,
                0.9999994956526519,
                0.9999986290421394,
                0.999999495652652,
                0.9999996533675028,
                0.9999996533672549
            ],
            [
                0.9999994956527121,
                0.9999993524049703,
                0.9999986290429566,
                0.9999992661788446,
                0.9999982396572065,
                0.9999987901338838,
                0.9999980052695652,
                0.9999994284996891,
                0.9999989322968754,
                0.9999986290431201
            ],
            [
                0.9999992661790195,
                0.9999992661790196,
                0.9999991684720715,
                0.9999994284992805,
                0.9999977396754328,
                0.999998629042303,
                0.999999694097846,
                0.9999982396561572,
                0.9999982396569966,
                0.9999994956523514
            ],
            [
                0.9999991684718732,
                0.9999984465016899,
                0.9999991684715759,
                0.9999993524051246,
                0.9999989322972572,
                0.9999992661792819,
                0.9999986290424663,
                0.9999996533672549,
                0.9999989322971299,
                0.9999986290432835
            ],
            [
                0.9999992661791944,
                0.9999989322970027,
                0.9999989322975118,
                0.9999994284996211,
                0.9999994956527722,
                0.9999996940978095,
                0.9999986290427932,
                0.999999168471675,
                0.9999990577555183,
                0.9999993524053562
            ],
            [
                0.99999893229713,
                0.9999982396561572,
                0.9999984465015047,
                0.9999993524050474,
                0.9999980052695652,
                0.9999996533675028,
                0.99999893229713,
                0.999999352404893,
                0.9999994956526519,
                0.9999984465016899
            ],
            [
                0.9999996940977731,
                0.9999990577549568,
                0.9999994284996893,
                0.9999996072138934,
                0.9999952149049351,
                0.9999989322975118,
                0.9999990577554061,
                0.9999992661788445,
                0.999999352405279,
                0.999999266178932
            ],
            [
                0.9999986290431201,
                0.9999996072137998,
                0.9999996072137998,
                0.9999994956525317,
                0.9999989322975118,
                0.999999352405279,
                0.9999991684717741,
                0.9999994284996893,
                0.9999991684720715,
                0.999999352405279
            ],
            [
                0.999999352404893,
                0.9999991684721706,
                0.9999989322967481,
                0.9999996072138934,
                0.9999980052700408,
                0.9999996072139402,
                0.9999994284994167,
                0.9999992661786696,
                0.9999992661791944,
                0.9999992661786696
            ],
            [
                0.9999997300422868,
                0.9999995549151072,
                0.9999994284992805,
                0.9999987901337396,
                0.9999996072136592,
                0.9999992661792819,
                0.9999989322970027,
                0.9999986290424663,
                0.9999993524049702,
                0.9999994284996893
            ],
            [
                0.9999974387171787,
                0.999999730042126,
                0.9999997617630617,
                0.9999998362623528,
                0.9999996533674202,
                0.9999997300421581,
                0.9999995549149481,
                0.9999986290427931,
                0.9999993524052019,
                0.9999994284994167
            ],
            [
                0.9999994284996211,
                0.9999987901337396,
                0.9999996940978825,
                0.9999995549149481,
                0.999999352404893,
                0.9999986290424663,
                0.9999994956524115,
                0.9999993524053562,
                0.999999057755743,
                0.9999996072139402
            ],
            [
                0.99999893229713,
                0.9999996533672549,
                0.9999990577551815,
                0.9999996533674202,
                0.9999990577549568,
                0.9999984465026158,
                0.999999352405279,
                0.9999990577552939,
                0.9999990577549568,
                0.9999995549147889
            ],
            [
                0.9999982396559473,
                0.999998790134605,
                0.9999984465028011,
                0.9999996533672549,
                0.9999993524050474,
                0.9999996072137061,
                0.9999992661786695,
                0.9999992661790195,
                0.9999996940978095,
                0.9999994284996893
            ],
            [
                0.9999984465018751,
                0.9999996072137061,
                0.9999987901337396,
                0.999999266178757,
                0.9999994956525317,
                0.9999990577550691,
                0.9999994956525317,
                0.9999996072139402,
                0.9999989322972572,
                0.9999996533674201
            ],
            [
                0.9999992661792819,
                0.9999994956527121,
                0.9999998144609203,
                0.9999989322966208,
                0.9999994956525318,
                0.9999994284992805,
                0.9999982396567867,
                0.9999996072137061,
                0.9999991684720715,
                0.9999994956526519
            ],
            [
                0.9999989322967481,
                0.9999993524053562,
                0.9999992661789321,
                0.9999994956525918,
                0.9999994956527121,
                0.99999862904312,
                0.9999987901337396,
                0.9999993524054334,
                0.9999989322967482,
                0.9999991684720715
            ],
            [
                0.9999982396574163,
                0.9999990577551814,
                0.9999992661788446,
                0.9999996533674202,
                0.999998790134028,
                0.999999057755069,
                0.9999984465015047,
                0.999998239656367,
                0.9999984465016899,
                0.9999993524053562
            ],
            [
                0.9999996940977731,
                0.9999996072137061,
                0.999999266179107,
                0.9999984465015047,
                0.9999994284997573,
                0.9999994284995529,
                0.9999987901343166,
                0.9999992661790195,
                0.9999990577549569,
                0.9999996072137529
            ],
            [
                0.9999990577557432,
                0.9999989322967481,
                0.9999991684715759,
                0.9999994284995529,
                0.9999992661790196,
                0.9999986290431201,
                0.9999987901347491,
                0.999999266178757,
                0.9999989322966208,
                0.9999996940977366
            ],
            [
                0.9999996072136125,
                0.9999997300420937,
                0.9999996072136592,
                0.9999994956525317,
                0.9999993524050474,
                0.9999996072136125,
                0.9999986290421394,
                0.9999995549151073,
                0.9999992661792819,
                0.9999996533674202
            ],
            [
                0.9999996533675028,
                0.9999989322973846,
                0.9999990577549568,
                0.999999352405279,
                0.9999982396561572,
                0.9999991684721706,
                0.9999991684715759,
                0.9999982396561572,
                0.999998790134028,
                0.999999554914895
            ],
            [
                0.9999993524050474,
                0.9999974387184,
                0.999998239656367,
                0.9999991684717742,
                0.9999977396754327,
                0.9999994284997573,
                0.9999990577557432,
                0.9999991684719723,
                0.9999989322971299,
                0.9999990577557432
            ],
            [
                0.999999730042126,
                0.999999554914895,
                0.999999694097846,
                0.999999057755743,
                0.9999992661788445,
                0.999999495652652,
                0.9999995549150011,
                0.9999998362622943,
                0.9999993524052018,
                0.9999992661788446
            ],
            [
                0.9999990577551814,
                0.9999995549148419,
                0.9999986290429566,
                0.999999730042319,
                0.9999990577555185,
                0.9999994284992805,
                0.9999998555020307,
                0.9999994284995529,
                0.9999992661792819,
                0.9999996533675028
            ],
            [
                0.9999987901337396,
                0.9999989322966208,
                0.9999990577555185,
                0.9999991684715759,
                0.9999989322967481,
                0.9999996533675028,
                0.9999987901344607,
                0.9999994956527121,
                0.9999982396561571,
                0.9999989322972572
            ],
            [
                0.9999991684717742,
                0.9999995549151073,
                0.9999997300421903,
                0.9999996533673788,
                0.9999987901337396,
                0.9999987901343165,
                0.9999991684722698,
                0.9999996072138465,
                0.9999994956527722,
                0.9999990577551815
            ],
            [
                0.9999992661790195,
                0.999999554914895,
                0.9999995549150011,
                0.9999984465015046,
                0.9999993524052018,
                0.9999993524054334,
                0.9999995549151072,
                0.9999989322967482,
                0.9999994284997573,
                0.9999991684719723
            ],
            [
                0.9999997897566338,
                0.9999991684721706,
                0.9999993524049702,
                0.9999989322970027,
                0.9999995549148419,
                0.999999653367379,
                0.9999994956526519,
                0.9999991684717742,
                0.9999991684715759,
                0.9999996533673375
            ],
            [
                0.999999554914895,
                0.9999997617631184,
                0.9999996940976636,
                0.9999991684717741,
                0.9999982396561572,
                0.9999990577555185,
                0.9999990577554061,
                0.9999994284994167,
                0.9999996940977731,
                0.9999996072137529
            ],
            [
                0.9999991684715759,
                0.9999996533673788,
                0.9999996533673375,
                0.9999993524053562,
                0.9999967112509347,
                0.9999992661791944,
                0.9999994284996891,
                0.9999994284994849,
                0.9999996072137998,
                0.9999994956527722
            ]
        ]
    },
    {
        "q_id": "10554_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9998911031037506,
                0.9998204720552792,
                0.9999852610197857,
                0.9998601779425829,
                0.9999485577924765,
                0.999998239656367,
                0.9999785550490299,
                0.9999646437450763,
                0.9999898700066048,
                0.9999957771655487
            ],
            [
                0.9999977396765105,
                0.9999982396574162,
                0.9999151889384377,
                0.9999989322975118,
                0.9999990577556307,
                0.9999982396565769,
                0.46879062662624377,
                0.9999852610232997,
                0.4073334000459302,
                0.9999987901341723
            ],
            [
                0.9999945777784449,
                0.9999646437324317,
                0.9999687980923492,
                0.9999930377429203,
                0.999903897607966,
                0.9999810748585277,
                0.99989110311668,
                0.9999251537370515,
                0.9999938558224686,
                0.9999930377412606
            ],
            [
                0.999999057755743,
                0.9999724643056213,
                0.9999810748472474,
                0.9999687980886309,
                0.9999957771680656,
                0.9999992661787571,
                0.9999852610162709,
                0.9999832985761657,
                0.9999984465016898,
                0.9999962733589388
            ],
            [
                0.9999339478238181,
                0.9997694933120754,
                0.9999546021097081,
                0.9999785550515867,
                0.9999599363030427,
                0.9998601779093572,
                0.9998766053809492,
                0.999989870006605,
                0.9999038975391943,
                0.9986749778371209
            ],
            [
                0.999796573051423,
                0.9999785550413615,
                0.9996200155593263,
                0.9992903297047985,
                0.9996200155139906,
                0.9999756997505795,
                0.998830489860191,
                0.9953904277415714,
                0.9999546021367712,
                0.9999724643121839
            ],
            [
                1.994729721482609e-06,
                2.561281905376098e-06,
                4.222835457852533e-06,
                3.726639728370556e-06,
                3.0590237279032884e-07,
                1.7603434231241496e-06,
                1.3709576971379186e-06,
                2.2603251061458426e-06,
                5.043474081993875e-07,
                1.370957860567974e-06
            ],
            [
                0.9999945777829693,
                0.9999980052702785,
                0.9999986290429566,
                0.9999921107355333,
                0.9999945777823229,
                0.9999982396561571,
                0.9999977396746242,
                0.9999952149055054,
                0.9999989322967482,
                0.9999646437366446
            ],
            [
                0.9997040428326341,
                0.9993736657466504,
                0.9997388096283071,
                0.9998911030943118,
                0.9995694428601689,
                0.998830489596643,
                0.6513548646660542,
                0.9997388097839707,
                0.9999251537995529,
                0.9990889488719856
            ],
            [
                0.9999339478710932,
                0.9997965729784852,
                0.9999646437619372,
                0.9993736659736382,
                0.9999869928761873,
                0.2689414096510108,
                0.9997965730263814,
                0.9999339478710692,
                0.9999339478474694,
                0.9998766054250983
            ],
            [
                0.9996646498096079,
                0.9998766053662573,
                0.9999724643023379,
                0.9998415637453677,
                0.9998204720767369,
                0.9998415638209939,
                0.9998766054252095,
                0.9999852610180288,
                0.9999417087344652,
                0.9984988179224726
            ],
            [
                0.9999930377429204,
                0.9999986290427932,
                0.9999724643121848,
                0.9999982396569965,
                0.9999990577550691,
                0.9999910603058275,
                0.9999930377445803,
                0.9999885212359796,
                0.9999987901347492,
                0.999964643732433
            ],
            [
                0.9997388096907535,
                0.9999038975850487,
                0.9999938558268633,
                0.9999921107392954,
                0.999925153745996,
                0.9999852610127575,
                0.9999339478474367,
                0.9996646497701029,
                0.9975273763850906,
                0.9996646497696542
            ],
            [
                5.04347528440776e-07,
                1.2098653950656417e-06,
                1.0677029973192638e-06,
                2.561283432005142e-06,
                6.475948754012522e-07,
                1.6701417860795016e-05,
                7.889264465842609e-06,
                3.288750241500471e-06,
                3.2887494573232236e-06,
                2.5612828213818346e-06
            ],
            [
                1.9947294837154625e-06,
                1.3709575337078829e-06,
                9.422443692527585e-07,
                1.3709568799760888e-06,
                4.2228349547223175e-06,
                1.5534979397790343e-06,
                5.043474683204221e-07,
                1.553497754577351e-06,
                1.209865827740176e-06,
                2.2603251061664e-06
            ],
            [
                0.9999869928684354,
                0.9999938558261307,
                0.9999952149055054,
                0.9999967112509346,
                0.9999967112501505,
                0.9999756997592695,
                0.9999962733598274,
                0.9999980052705163,
                0.9999930377412605,
                0.9999987901347491
            ],
            [
                0.999959936322143,
                0.999995777166052,
                0.9999993524049702,
                0.9999785550490304,
                0.9999852610215426,
                0.9999546021421849,
                0.9999930377429203,
                0.9999646437366431,
                0.9999921107383551,
                0.9999810748540153
            ],
            [
                6.475947210012481e-07,
                4.222832941111319e-06,
                3.288750241500471e-06,
                2.102434412871794e-07,
                1.2098656835136636e-06,
                1.2098661161982042e-06,
                2.5612822107167428e-06,
                6.962257909501028e-06,
                2.5612828213690224e-06,
                0.9890130555882928
            ],
            [
                0.9999852610215422,
                0.9999785550439201,
                0.9999945777803838,
                0.9999417087414243,
                0.9999832985741735,
                0.9999810748472479,
                0.9999756997592666,
                0.9993736658223981,
                0.9999724642990531,
                0.9999756997650606
            ],
            [
                0.9997694933395409,
                0.9997388097219424,
                0.9999910603058276,
                0.9999898700090202,
                0.9997040429710378,
                0.9999990577552937,
                0.9991959141477551,
                0.9999898700090203,
                0.9999417087205548,
                0.9998766053662573
            ],
            [
                0.9999832985741735,
                0.9999251537995403,
                0.9999852610180288,
                0.9999967112521106,
                0.9999921107336526,
                0.9999991684717741,
                0.9999984465022455,
                0.9999982396563669,
                0.9999945777810303,
                0.9999910603058276
            ],
            [
                1.0677028700363782e-06,
                1.5534979397677313e-06,
                7.338208930421943e-07,
                3.2887490653109436e-06,
                7.338211554783522e-07,
                1.553498124964492e-06,
                4.785094494576774e-06,
                4.785092783371756e-06,
                6.144172404302622e-06,
                3.9278615343901467e-07
            ],
            [
                0.9999910603015648,
                0.9999945777829693,
                0.9999974387177893,
                0.9999724643154672,
                0.9999990577549569,
                0.9999885212291393,
                0.9999938558239332,
                0.9999967112517186,
                0.9999977396757022,
                0.9999930377454102
            ],
            [
                0.9999832985841286,
                0.9999980052700407,
                0.999998790134605,
                0.9999990577556307,
                0.9999974387184,
                0.9999980052700407,
                0.9999991684721706,
                0.999999554914895,
                0.9999974387187053,
                0.9999898700078125
            ],
            [
                0.999948557780225,
                0.9999546021206174,
                0.9999417087553203,
                0.9999546021097124,
                0.9989677687924233,
                0.9999832985701913,
                0.9999869928699853,
                0.999975699762164,
                0.9996646499302397,
                0.9999810748517589
            ],
            [
                0.999933947878961,
                0.9999485577740787,
                0.9940889301094402,
                0.9998204720551512,
                0.999738809784594,
                0.9993736659699947,
                0.9998415637266403,
                0.999290329450644,
                0.9994472213873559,
                0.9999151889183621
            ],
            [
                2.5612831267086116e-06,
                7.338208930421943e-07,
                9.422447062270609e-07,
                1.2098653950606901e-06,
                1.7603427936079236e-06,
                1.2098653950656417e-06,
                2.561281905390075e-06,
                5.715005151574337e-07,
                2.9023116391477434e-06,
                1.994730197071414e-06
            ],
            [
                0.9999756997621686,
                0.9999996533674202,
                0.9999994284993486,
                0.9999997897567341,
                0.9999994284994849,
                0.9999970976876689,
                0.9999151889890187,
                0.9999885212346117,
                0.9999989322971299,
                0.9999989322973846
            ],
            [
                1.9947290081286418e-06,
                3.2887494573561262e-06,
                5.715007195384861e-07,
                3.288749457383046e-06,
                2.260325375664839e-06,
                2.2603242978778778e-06,
                4.4508505193791187e-07,
                1.9947290081286418e-06,
                1.5534973842030142e-06,
                5.04347348075149e-07
            ],
            [
                0.9999984465022455,
                0.9999687980849095,
                0.9999980052702785,
                0.9999938558268631,
                0.9999962733589389,
                0.9999832985721839,
                0.9999910603068932,
                0.999996273360716,
                0.9999957771680656,
                0.9999930377404304
            ],
            [
                0.9999952149049349,
                0.9999984465015047,
                0.9999970976866309,
                0.9999994284992805,
                0.9999832985761654,
                0.9999980052705163,
                0.9999852610215424,
                0.9999687980960746,
                0.9999967112521106,
                0.9999990577555185
            ],
            [
                0.9999724643023361,
                0.9999687980849061,
                0.999998446502801,
                0.9999980052709919,
                0.9999982396572064,
                0.9999646437492937,
                0.9999962733593831,
                0.999998005269803,
                0.9999990577555185,
                0.9999984465022455
            ],
            [
                0.9994472213193091,
                0.9978172831393448,
                0.9999599362982582,
                0.9999339478395777,
                0.99979657295416,
                0.999915188978871,
                0.9992903294459795,
                0.9993736658961782,
                0.9999251537638258,
                0.9999646437619287
            ],
            [
                0.9999921107402363,
                0.9999832985701927,
                0.9999957771655487,
                0.999991060300499,
                0.9999810748472479,
                0.9999832985821373,
                0.9999810748427356,
                0.9999417087136174,
                0.9996646499306886,
                0.9999339478789813
            ],
            [
                0.9999970976890528,
                0.9999810748472466,
                0.9999921107336525,
                0.9999885212359796,
                0.9999962733598274,
                0.9999869928715357,
                0.9999756997592687,
                0.9998601779593259,
                0.999996273360716,
                0.9998415638210723
            ],
            [
                0.9999417087136139,
                0.9995694430127166,
                0.9995121428230627,
                0.9995694429606232,
                0.9999546021475986,
                0.9999921107345936,
                0.999964643736646,
                0.9999599363125902,
                0.9978172837980599,
                0.999738809753063
            ],
            [
                0.9996200154239604,
                0.9999251537638628,
                0.9999339478395685,
                0.999959936307811,
                0.9999251537638144,
                0.9999977396748937,
                0.9999898700078128,
                0.9999251537459666,
                0.9997388097529262,
                0.9999970976883608
            ],
            [
                0.9997040428297409,
                0.9999957771655487,
                0.9999485577863392,
                0.9999785550515891,
                0.9999869928653333,
                0.9999687980737538,
                0.9999599362982708,
                0.9999485577740787,
                0.9999869928684344,
                0.9999832985721823
            ],
            [
                1.3709575337016483e-06,
                2.5612812947240366e-06,
                3.2887494572514376e-06,
                6.475949526003845e-07,
                9.422443692489024e-07,
                6.475947982002148e-07,
                6.962253759157502e-06,
                2.102434412871794e-07,
                9.422447062202052e-07,
                1.5534981249574276e-06
            ],
            [
                0.9999151889586102,
                0.9997040429361289,
                0.9986749775034519,
                0.9999724642990521,
                0.999925153781686,
                0.9999810748517594,
                0.99995460213136,
                0.9998911030517865,
                0.9999599362982616,
                0.9964063975936557
            ],
            [
                0.9999970976887068,
                0.9999980052693274,
                0.9999852610162707,
                0.9998911031051766,
                0.9999885212264008,
                0.9999599363125938,
                0.9999982396559473,
                0.9999974387177893,
                0.9999952149055052,
                0.9999251537995099
            ],
            [
                0.9999832985701935,
                0.9999952149055056,
                0.9999785550592557,
                0.9999945777784447,
                0.9999599363078239,
                0.9999984465020603,
                0.999992110734593,
                0.9999984465024306,
                0.9999967112513266,
                0.999983298578157
            ],
            [
                0.9959298625634674,
                0.9997965731087927,
                0.9990889488788732,
                0.9999038976085394,
                0.9989677690525576,
                0.9991959141625333,
                0.9975273768628907,
                0.9984988178982175,
                0.9982992773411026,
                0.9988304897324967
            ],
            [
                1.7603432132784448e-06,
                1.2098662604247682e-06,
                3.059023363231725e-07,
                4.78509563535725e-06,
                5.422218969463855e-06,
                5.043476486915964e-07,
                1.3709570433786157e-06,
                1.3709573702778664e-06,
                1.9947306726358406e-06,
                1.994730197071414e-06
            ],
            [
                0.9993736658982914,
                0.9999151889687481,
                0.9999852610232999,
                0.9999938558224682,
                0.9999869928684348,
                0.9999910603015646,
                0.9999485578047457,
                0.9999151889687481,
                0.9999938558268633,
                0.9998766054398672
            ],
            [
                1.3709578605542582e-06,
                2.2603251062013478e-06,
                1.760343423160973e-06,
                6.962257909722651e-06,
                2.2603237589542675e-06,
                1.3709567165386693e-06,
                6.475945666009864e-07,
                3.288749457383046e-06,
                2.2603237589779086e-06,
                7.889262585082652e-06
            ],
            [
                0.9999756997534747,
                0.9999945777823229,
                0.9999885212346111,
                0.9999869928761871,
                0.999975699759268,
                0.9999989322975118,
                0.9999869928715355,
                0.9999980052693274,
                0.9999869928715353,
                0.9999646437324302
            ],
            [
                0.9984988176860276,
                0.9997694931747982,
                0.9990889486543891,
                0.9992903297004229,
                0.9999921107402358,
                0.9999485577618125,
                0.9999832985761646,
                0.9990889487737572,
                0.9996200154238939,
                0.9999038975392132
            ],
            [
                0.9999898700078126,
                0.9989677689224304,
                0.9990889486543891,
                0.9999485577863364,
                0.9999485578047399,
                0.9999930377437503,
                0.9997388096593592,
                0.9999869928668836,
                0.9999251537994924,
                0.9999724643056159
            ],
            [
                2.2603242978665707e-06,
                1.2098653950656417e-06,
                3.2887498494282754e-06,
                8.315282259089153e-07,
                1.2098653950606901e-06,
                2.2603253755949437e-06,
                1.3709570434122812e-06,
                1.209865683518615e-06,
                0.9947798730731996,
                3.9278638756099906e-07
            ],
            [
                0.9999724642990537,
                0.9990889488716148,
                0.9998204719482471,
                0.9959298632109111,
                0.9999724643056177,
                0.9988304898682143,
                0.9989677691613169,
                0.9999599363173656,
                0.9999957771680656,
                0.9998204720765123
            ],
            [
                1.9947304348595095e-06,
                3.726641061058432e-06,
                1.994729483705484e-06,
                2.260324567337161e-06,
                2.5612828213690224e-06,
                2.5612825160271407e-06,
                4.785095065093186e-06,
                4.785093924156175e-06,
                2.902312677084523e-06,
                0.9994472214522832
            ],
            [
                1.7603440527046419e-06,
                1.30071253611406e-05,
                3.726639284017094e-06,
                1.5534975693869924e-06,
                3.288749457409966e-06,
                1.994729008105057e-06,
                2.1444940734059286e-05,
                1.2098656835136636e-06,
                1.5534983101549167e-06,
                2.260324297853209e-06
            ],
            [
                0.9998415637074797,
                0.9996200155178487,
                0.9820137891496259,
                0.9996200154238166,
                0.9992903295326654,
                0.998967769067803,
                0.999512142826866,
                0.9998415638397973,
                0.9997388097214637,
                0.9999921107336525
            ],
            [
                3.05902263389638e-07,
                1.9947301970813926e-06,
                7.3382080556433e-07,
                6.475948753991907e-07,
                6.9622537593854575e-06,
                2.2603234895176927e-06,
                2.382369383923073e-07,
                1.9947299592933255e-06,
                2.699577774585891e-07,
                4.450852111148132e-07
            ],
            [
                0.9999687980960674,
                0.9999599363030371,
                0.9999885212332428,
                0.9999984465018751,
                0.9999852610215436,
                0.9999599363173605,
                0.9999967112517189,
                0.9999977396759716,
                0.9999810748585286,
                0.9999974387174839
            ],
            [
                0.9964063980071678,
                0.9968273175706095,
                0.9984988180624202,
                0.9968273164093789,
                0.9998766054398187,
                0.9990889487652271,
                0.998073265548229,
                0.999512142822126,
                0.9991959142359097,
                0.1329642316084462
            ],
            [
                5.422218969463855e-06,
                1.760344052693435e-06,
                2.5612831266165976e-06,
                3.466327863983311e-07,
                1.7603427936079236e-06,
                8.315278294038928e-07,
                1.553497754583709e-06,
                6.475949526003845e-07,
                7.338210679979539e-07,
                7.338212429582604e-07
            ],
            [
                1.7603430034743913e-06,
                1.8553914607128047e-07,
                1.2098659719716573e-06,
                6.475945666033422e-07,
                1.7603427936079236e-06,
                4.785094494463623e-06,
                4.4508505193791187e-07,
                5.04347348075149e-07,
                4.785093353626844e-06,
                2.699577130944368e-07
            ],
            [
                2.561281905390075e-06,
                3.059023363221292e-07,
                1.9947304348595095e-06,
                5.043474081993875e-07,
                1.0677027427525368e-06,
                1.553497384196656e-06,
                5.715002426475718e-07,
                2.5612825160096693e-06,
                3.288748281295496e-06,
                3.2887502415438413e-06
            ],
            [
                0.9999974387165679,
                0.9999970976883608,
                0.9999910603004989,
                0.9999785550567011,
                0.999993855826863,
                0.9999930377412604,
                0.9999832985781574,
                0.9999646437619356,
                0.9999910602994335,
                0.9999910603047617
            ],
            [
                6.14417533430649e-06,
                3.288747889229516e-06,
                9.422449308673789e-07,
                8.939694171135975e-06,
                1.760343423160973e-06,
                2.260324297853209e-06,
                1.99473067264854e-06,
                2.5612812945889277e-06,
                3.466327450744504e-07,
                1.1478764019328247e-05
            ],
            [
                0.5621765008857981,
                0.9971990735609347,
                0.9999646437324287,
                0.9996200155157815,
                0.999891103064815,
                0.999769493370209,
                0.999860177892614,
                0.9989677690452349,
                0.9993736657485816,
                0.998967768788822
            ],
            [
                4.785096205830278e-06,
                1.5534983101478522e-06,
                1.209865539274514e-06,
                2.5612812947380135e-06,
                4.785093353739995e-06,
                1.7603427936183298e-06,
                1.553498495338299e-06,
                6.962253759271479e-06,
                1.0677027427471959e-06,
                1.7603438428660665e-06
            ],
            [
                8.9396941718352e-06,
                6.144176798691468e-06,
                1.473898899846585e-05,
                4.2228344511197656e-06,
                2.2603245673155757e-06,
                1.2098652508391807e-06,
                3.927862002654366e-07,
                6.9622562489985925e-06,
                1.8925145980181433e-05,
                1.5534971989907999e-06
            ],
            [
                0.99998987000902,
                0.9999756997650643,
                0.9998766053956392,
                0.999968798077472,
                0.9999151889687481,
                0.9986749773722025,
                0.9999485578047345,
                0.9999646437450721,
                0.9988304900112754,
                0.999983298570192
            ],
            [
                2.9023112931873767e-06,
                4.78509506499309e-06,
                1.5534983101393749e-06,
                4.222835458044565e-06,
                7.338213304363436e-07,
                1.994729721436347e-06,
                1.5534975693792215e-06,
                3.2887486732358968e-06,
                2.4300249397180202e-05,
                1.7603438428740716e-06
            ],
            [
                0.9999785550464758,
                0.9998601779758107,
                0.9999485577679615,
                0.9999724643154645,
                0.9986749778286483,
                0.9999810748449939,
                0.9988304897357605,
                0.9995121429387809,
                0.999975699759271,
                0.9999546021475874
            ],
            [
                2.1444943298944354e-05,
                3.726638395493353e-06,
                8.315277302788957e-07,
                1.9947290080905435e-06,
                1.6701417859944398e-05,
                5.4222170304318e-06,
                1.1478765388314311e-05,
                4.4508489275752546e-07,
                1.9947290080343035e-06,
                5.422218322664422e-06
            ],
            [
                2.9023133690980155e-06,
                3.7266397283231055e-06,
                2.5612831266946347e-06,
                6.475946437996402e-07,
                1.553498124964492e-06,
                8.315284241597959e-07,
                3.2887498493325602e-06,
                2.260324836776948e-06,
                4.78509563550957e-06,
                2.260325375664839e-06
            ],
            [
                1.7603427936079236e-06,
                4.222834451169694e-06,
                2.561282821239737e-06,
                2.5612822106841303e-06,
                1.3709570433387154e-06,
                2.2603245672497918e-06,
                4.222832941034507e-06,
                6.144176066521288e-06,
                1.3709572068079696e-06,
                1.14787681240737e-05
            ],
            [
                0.9999921107383548,
                0.9999832985721828,
                0.9999952149060758,
                0.999997097686977,
                0.9999980052700407,
                0.9999921107345929,
                0.9999962733589389,
                0.9999910603058273,
                0.9999646437577183,
                0.9999921107383554
            ],
            [
                2.9023123311055552e-06,
                1.0677028700266676e-06,
                0.9968273176670718,
                3.726639284050988e-06,
                7.889266346287306e-06,
                6.144176066672166e-06,
                6.962257909412379e-06,
                2.902310947208574e-06,
                4.222833947897496e-06,
                3.927862002654366e-07
            ],
            [
                1.3709575336947905e-06,
                3.4663253846718004e-07,
                7.338208930421943e-07,
                3.927862939136532e-07,
                1.760342583722268e-06,
                5.04347348075149e-07,
                1.3709567165579959e-06,
                5.043475284447896e-07,
                1.7603430034655858e-06,
                5.715002426460124e-07
            ],
            [
                0.9999546021205374,
                0.9999921107336528,
                0.9999687980886298,
                0.9999938558261305,
                0.9999962733620487,
                0.9999832985741741,
                0.9999991684721705,
                0.9999869928653333,
                0.9999970976880148,
                0.9999417087414023
            ],
            [
                0.9999967112505425,
                0.9991959142371722,
                0.999997097687323,
                0.9991959141477551,
                0.9999910602994333,
                0.9999417087344882,
                0.9992903295348944,
                0.9999724643121822,
                0.99997569974768,
                0.9999885212277699
            ],
            [
                0.9999986290424664,
                0.9999952149066461,
                0.9999930377429203,
                0.9999986290424664,
                0.9999724642957698,
                0.9999852610110012,
                0.9999869928746372,
                0.9999869928730863,
                0.9999898700066052,
                0.9999952149072169
            ],
            [
                1.7603427936183298e-06,
                3.288747889178668e-06,
                4.22283545795623e-06,
                6.475950297971703e-07,
                1.9947299592933255e-06,
                1.7603440527222532e-06,
                2.902312331081799e-06,
                1.3709576971379186e-06,
                3.9278634073312583e-07,
                7.88926634687567e-06
            ],
            [
                0.9999599362934897,
                0.9999984465020603,
                0.9999869928668839,
                0.9999910603036959,
                0.9999869928684344,
                0.9999832985801483,
                0.9999989322968754,
                0.9999938558239332,
                0.9999967112513266,
                0.9999977396765104
            ],
            [
                0.9999832985841289,
                0.9999967112521109,
                0.9999962733602716,
                0.9999910602994333,
                0.9999945777797374,
                0.9999984465016899,
                0.9999974387187053,
                0.9999967112509347,
                0.9999990577557432,
                0.9999724643056193
            ],
            [
                0.9999977396754327,
                0.9999994956524115,
                0.9999982396569965,
                0.9999991684720715,
                0.9999990577549568,
                0.9999967112501504,
                0.9999996940977002,
                0.9999996940978095,
                0.9999885212277709,
                0.9999980052702785
            ],
            [
                0.9991959140476753,
                0.9999339478238412,
                0.9996200155149193,
                0.9998415637075303,
                0.9998766054252598,
                0.9999646437619314,
                0.9999852610162717,
                0.9998766053809797,
                0.9997694933670065,
                0.9999038976079961
            ],
            [
                0.9996646498493371,
                0.9999785550439163,
                0.9859363754878143,
                0.9998911030777079,
                0.9986749773635758,
                0.9999898700041897,
                0.9999339478317002,
                0.9992903295348944,
                0.9999687980997845,
                0.9999151889182126
            ],
            [
                1.3709570434122812e-06,
                1.0677032518748838e-06,
                1.067702615468225e-06,
                3.927862002654366e-07,
                1.994729483694599e-06,
                6.475947210012481e-07,
                9.422450432014836e-07,
                1.3709573702566696e-06,
                2.561283432035425e-06,
                3.466326211113502e-07
            ],
            [
                0.9999921107392954,
                0.9999980052693274,
                0.9999984465026158,
                0.9999995549151073,
                0.9999962733589389,
                0.9999832985741745,
                0.9999785550566999,
                0.9999970976866309,
                0.9999989322968754,
                0.9999994284996893
            ],
            [
                0.9999970976887068,
                0.9999869928653333,
                0.9999996072136125,
                0.99994170874144,
                0.9999977396746244,
                0.9999910603068933,
                0.9999869928730863,
                0.9999977396765105,
                0.9999832985841286,
                0.9999687980960674
            ],
            [
                0.9999869928653338,
                0.9999417087275172,
                0.9999957771650453,
                0.9999991684721705,
                0.999999266178757,
                0.9999987901343165,
                0.999998005269803,
                0.9999724643154692,
                0.9999852610215443,
                0.999992110734593
            ],
            [
                0.9999869928653331,
                0.9999417087205692,
                0.9999984465020603,
                0.9999967112509347,
                0.9999930377445804,
                0.9999938558246662,
                0.9999852610215426,
                0.9999910603068933,
                0.9999869928699852,
                0.9999885212291383
            ],
            [
                0.9988304900032522,
                0.9984988178687273,
                0.5926665999540698,
                0.9982992778716044,
                0.9978172831738271,
                0.9953904282564932,
                0.9971990734139635,
                0.9964063966565835,
                0.9997694933122331,
                0.9996646497295931
            ],
            [
                0.9999962733616043,
                0.9996646498097153,
                0.9999646437534998,
                0.9924227572018995,
                0.9999938558275953,
                0.9999646437534985,
                0.9998766054544944,
                0.9998415638021374,
                0.9997694933122868,
                0.9999417087553089
            ],
            [
                0.9999869928715366,
                0.9999967112521109,
                0.9999810748449911,
                0.9999339478238364,
                0.9999945777790912,
                0.9999930377454102,
                0.9999251537995099,
                0.9999921107364739,
                0.9999485577986492,
                0.99999303774624
            ],
            [
                0.9999945777803838,
                0.999664649772747,
                0.9999994956527121,
                0.9999885212291383,
                0.999993855825398,
                0.9999910602994334,
                0.9999921107374143,
                0.9999991684715759,
                0.9999852610197864,
                0.9999646437366568
            ],
            [
                0.9999982396574162,
                0.9999994284996893,
                0.9999980052705163,
                0.9999980052700407,
                0.9999970976876689,
                0.9999970976866309,
                0.9999921107355334,
                0.9999990577554061,
                0.9999967112517186,
                0.9999980052698029
            ],
            [
                2.260324836776948e-06,
                4.785093353739995e-06,
                2.9023130230846496e-06,
                1.7603432133296774e-06,
                4.450852641717689e-07,
                1.0129988561648438e-05,
                1.855390354818069e-07,
                1.7603432133032607e-06,
                8.315278294072958e-07,
                2.9023119851266288e-06
            ],
            [
                0.9993736658197019,
                0.9996200155607524,
                0.9999151889687481,
                0.9999785550566994,
                0.9982992778897885,
                0.9998415637454438,
                0.9999852610232997,
                0.9999339478553098,
                0.9149009491921664,
                0.9998204719699711
            ],
            [
                0.9997694932844523,
                0.9999756997534733,
                0.9933071498434594,
                0.999959936298269,
                0.5926665999540698,
                0.9995694429628151,
                0.9997040428650026,
                0.9990889486568263,
                0.9999852610127573,
                0.9994472212543818
            ],
            [
                0.9999832985781563,
                0.9999945777823231,
                0.9999885212264011,
                0.9999898700078131,
                0.9999986290421394,
                0.9999987901341723,
                0.999998239656367,
                0.9999869928761876,
                0.9999869928730869,
                0.999968798081189
            ],
            [
                0.9998766053958151,
                0.9990889489979234,
                0.9999151889889724,
                0.99990389758502,
                0.9999938558239332,
                0.999972464315468,
                0.9999038975506481,
                0.9999945777816768,
                0.9997040429013149,
                0.9999785550439172
            ],
            [
                0.9995121428225802,
                0.9998766053809636,
                0.9997040427943068,
                0.9999852610162713,
                0.9998911030387961,
                0.9997040427944791,
                0.9999599363078128,
                0.9998766053662125,
                0.9999339478238508,
                0.9999938558246656
            ],
            [
                3.466326211105621e-07,
                2.2603237589542675e-06,
                8.31528126775552e-07,
                4.22283394786293e-06,
                6.144174601588856e-06,
                1.5534983101549167e-06,
                2.561282821352716e-06,
                9.422447062202052e-07,
                1.9947297215043796e-06,
                1.9947304348703948e-06
            ],
            [
                0.9999945777810302,
                0.9999984465026158,
                0.9999852610180298,
                0.9999984465016899,
                0.9999967112521106,
                0.9999869928746363,
                0.9999832985801475,
                0.999989870005398,
                0.9999945777797374,
                0.9999987901338838
            ],
            [
                1.3709573702778664e-06,
                4.785093924251918e-06,
                8.315280276607289e-07,
                1.553497754583709e-06,
                7.338207180864763e-07,
                4.22283394786293e-06,
                5.043472879525233e-07,
                2.902312331081799e-06,
                4.22283545808297e-06,
                2.5612831267086116e-06
            ],
            [
                2.902311985079115e-06,
                2.7535694365549603e-05,
                5.043475885657239e-07,
                9.422445938861406e-07,
                3.1201907648418184e-05,
                2.5612812947380135e-06,
                1.5534971989696065e-06,
                5.422221554847581e-06,
                8.315283250343497e-07,
                2.902310947208574e-06
            ],
            [
                0.9999984465015046,
                0.9999987901341723,
                0.9999945777829695,
                0.9999986290424663,
                0.9999982396569965,
                0.9999810748585268,
                0.9999921107374145,
                0.9999970976869769,
                0.9999832985801465,
                0.9999974387184
            ],
            [
                0.9999921107402359,
                0.9999945777810302,
                0.9999724642957762,
                0.9999952149072165,
                0.9999687980960708,
                0.9999938558275958,
                0.9999417087483646,
                0.9999938558239332,
                0.9999785550515884,
                0.9999546021205397
            ],
            [
                0.9999974387187053,
                0.9999945777816767,
                0.9999952149055054,
                0.9999945777816768,
                0.9999952149055052,
                0.9999885212305062,
                0.9999898700126431,
                0.9999989322968753,
                0.9999970976887068,
                0.9999885212277698
            ],
            [
                0.9995121429388943,
                0.9999852610145143,
                0.9999869928715365,
                0.9999485577679526,
                0.9998204720767055,
                0.9975273765786226,
                0.9999785550515867,
                0.9998911031166434,
                0.9999251537727589,
                0.9999921107402356
            ],
            [
                0.9999921107355335,
                0.9999898700053974,
                0.9999687980886298,
                0.9999885212305057,
                0.9999910602994333,
                0.9999898700041905,
                0.9999852610215424,
                0.9999832985801483,
                0.9999910603047617,
                0.9999485577986111
            ],
            [
                9.422447062150634e-07,
                0.9997694932572485,
                6.144176066672166e-06,
                2.9023133690821773e-06,
                2.2603251062147097e-06,
                5.422220908116881e-06,
                6.962256249682458e-06,
                3.2887490653647836e-06,
                4.785095065132354e-06,
                1.9947306726594253e-06
            ],
            [
                0.9999997617630616,
                0.9999921107336526,
                0.9999898700126431,
                0.9999898700102277,
                0.999998790134605,
                0.999999168471675,
                0.9999930377404305,
                0.9999974387180947,
                0.9999986290429566,
                0.9999967112513268
            ],
            [
                0.9999485577618238,
                0.9995121429397175,
                0.997199072489866,
                0.9986749776761403,
                0.999512142824936,
                0.9982992776988553,
                0.8670357477770337,
                0.9964063978029128,
                0.989013055274574,
                0.9933071484844282
            ],
            [
                2.2603242978007868e-06,
                1.7603438428660665e-06,
                1.067703251864202e-06,
                8.315278294038928e-07,
                1.2098652508144226e-06,
                3.466325797896173e-07,
                1.7603425837791042e-06,
                6.475947982022763e-07,
                7.338211554801876e-07,
                2.902312677137316e-06
            ],
            [
                0.9999646437577183,
                0.999993855826863,
                0.999769493367164,
                0.9998766054692634,
                0.9999339478474415,
                0.9999945777829693,
                0.9999646437577197,
                0.9999546021097148,
                0.999983298582142,
                0.9999945777823229
            ],
            [
                0.9999962733616043,
                0.9999599363078182,
                0.9999980052707541,
                0.9998601778759504,
                0.9999938558239332,
                0.9999967112517187,
                0.9996200154294655,
                0.9999945777784447,
                0.9999869928699849,
                0.9999599363221524
            ],
            [
                0.999983298578157,
                0.999998005269803,
                0.9999938558275957,
                0.9999974387171787,
                0.9999967112493665,
                0.9999938558268628,
                0.9999984465016899,
                0.9999646437619418,
                0.9999992661789321,
                0.9999599362982671
            ],
            [
                3.535624646356141e-05,
                2.902310947190096e-06,
                6.144172404302622e-06,
                3.2887494573232236e-06,
                1.3709576971061233e-06,
                4.785096205882502e-06,
                2.5612819053399912e-06,
                6.144175334239434e-06,
                2.5612822106654943e-06,
                1.0677031245953668e-06
            ],
            [
                0.9999687980811937,
                0.9999898700126428,
                0.9999852610127582,
                0.9999910603058274,
                0.9998911030517746,
                0.9998911030907222,
                0.9999151889485163,
                0.9999810748540153,
                0.9999957771645419,
                0.9999546021475895
            ],
            [
                0.9999930377429204,
                0.9999038975621116,
                0.9999910603047618,
                0.9999977396751633,
                0.9999724642957784,
                0.9999687980811924,
                0.9999921107345929,
                0.9999938558275954,
                0.9999938558232008,
                0.9999967112501504
            ],
            [
                7.338213304363436e-07,
                9.422448185478557e-07,
                2.3823688159069855e-07,
                5.715003107755449e-07,
                9.422449308774482e-07,
                5.715007195447234e-07,
                6.475949525981759e-07,
                1.2098662604291696e-06,
                1.3709576971425944e-06,
                1.0677026154806063e-06
            ],
            [
                1.3709570434122812e-06,
                7.338208930391909e-07,
                4.450849458218309e-07,
                1.994729483694599e-06,
                4.006368740256958e-05,
                2.1024339116082313e-07,
                3.288747889229516e-06,
                1.2098662604192665e-06,
                4.7850967763512445e-06,
                6.144173136885882e-06
            ],
            [
                0.9996200155147755,
                0.9995694428576889,
                0.99951214282153,
                0.9980732653424931,
                0.9933071498403636,
                0.9968273164432512,
                0.9959298626502966,
                0.996406398031345,
                0.9994472213875166,
                0.9975273772424891
            ],
            [
                0.999903897619401,
                0.99997569974768,
                0.9997965730267513,
                0.9999832985761651,
                0.9999599363078162,
                0.999195914240025,
                0.9997040429006089,
                0.9998766053809797,
                0.9999810748562732,
                0.9994472214501928
            ],
            [
                0.9999962733593831,
                0.999998790134028,
                0.9999952149049349,
                0.9999996533672135,
                0.9999921107336525,
                0.9999995549151072,
                0.9999785550515884,
                0.9999810748495034,
                0.9999989322970027,
                0.9999962733598274
            ],
            [
                0.9999910603026306,
                0.9999869928699852,
                0.9999885212359795,
                0.9999962733593832,
                0.9999921107374143,
                0.9999945777823229,
                0.9999646437450779,
                0.9999687980960651,
                0.999998446502801,
                0.9999898700053976
            ],
            [
                7.338208055489796e-07,
                7.338213304343413e-07,
                9.422449308748773e-07,
                2.9023130230846496e-06,
                2.2603237589542675e-06,
                1.4738988996240646e-05,
                2.902313023039776e-06,
                7.889259763728304e-06,
                1.0677026154619133e-06,
                1.0677026154774503e-06
            ],
            [
                1.2098653950403334e-06,
                6.144177531381426e-06,
                1.99473067264854e-06,
                1.994730434879465e-06,
                1.553497754577351e-06,
                1.7603440527046419e-06,
                1.6701423833831836e-05,
                1.6701415867221242e-05,
                6.475949525981759e-07,
                2.4300232041998833e-05
            ],
            [
                0.9978172836986695,
                0.5,
                0.9996200154238166,
                0.9995694429089681,
                0.9997388097528578,
                0.9997040429361289,
                0.9998415637264099,
                0.9994472213201774,
                0.9992903297013723,
                0.37754066879814546
            ],
            [
                1.3709575336947905e-06,
                7.889259763469998e-06,
                8.93969310662177e-06,
                1.473898197154587e-05,
                1.3709570434178922e-06,
                0.9990889487664457,
                5.043472879525233e-07,
                2.2603237589676295e-06,
                8.315283250343497e-07,
                1.0677024881941248e-06
            ]
        ]
    },
    {
        "q_id": "10678_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            5,
            6,
            7,
            8,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            36,
            37,
            38,
            39,
            41,
            42,
            43,
            44,
            45,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            75,
            76,
            77,
            78,
            81,
            82,
            83,
            84,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            106,
            107,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            127
        ],
        "rewards": [
            [
                0.9999832985841314,
                0.9999852610162737,
                0.999948557780244,
                0.9940889310999756,
                0.99991518895867,
                0.9999810748449929,
                0.9999546021205518,
                0.9999756997679643,
                0.9998766053665034,
                0.9999756997505845
            ],
            [
                5.422220261652556e-06,
                1.9947294835866542e-06,
                2.260324028331257e-06,
                0.9989677691932485,
                0.9964063965823846,
                2.561282210701601e-06,
                1.2098656834613962e-06,
                4.450849988780466e-07,
                3.726640172503764e-06,
                1.5534975693869924e-06
            ],
            [
                8.315281267142941e-07,
                4.222834451292594e-06,
                1.9947301970287804e-06,
                1.1478765388314311e-05,
                4.22283294098842e-06,
                1.3709578605243332e-06,
                1.3709572067955008e-06,
                2.144495863482118e-05,
                1.3007130012980722e-05,
                3.288750241500471e-06
            ],
            [
                6.47594798194325e-07,
                1.3709573702722555e-06,
                7.484620046617512e-05,
                2.56128129449109e-06,
                0.000295957203833203,
                7.889261644875049e-06,
                2.260324567177841e-06,
                1.6701427812931038e-05,
                2.5612819051722694e-06,
                1.4738978454950406e-05
            ],
            [
                4.2228344511197656e-06,
                8.939700566143004e-06,
                1.4738987239698005e-05,
                1.4738987239698005e-05,
                3.7266401725935817e-06,
                3.7266406167827664e-06,
                1.9947299591826594e-06,
                5.715003107738556e-07,
                5.422219615395428e-06,
                3.7266383953679482e-06
            ],
            [
                2.2603251061664e-06,
                4.222835458117536e-06,
                2.5612825159677387e-06,
                7.33821067986608e-07,
                2.5612822106841303e-06,
                1.3709578605617394e-06,
                2.2603251061849014e-06,
                4.450849988780466e-07,
                1.994729008074216e-06,
                6.962254588724508e-06
            ],
            [
                9.422444815765128e-07,
                6.475947210012481e-07,
                3.7266383955611403e-06,
                1.2098659719524008e-06,
                9.422449308673789e-07,
                1.994729721482609e-06,
                1.0129995809597604e-05,
                1.7603438428740716e-06,
                1.4449798650518898e-07,
                2.902312331081799e-06
            ],
            [
                0.9999417087483685,
                0.9999646437324344,
                0.9997040429363098,
                0.9999417087205882,
                0.9999339478396064,
                0.9995694429116361,
                0.9997694932302121,
                0.9996200155619243,
                0.9997965729302223,
                0.9997965730994314
            ],
            [
                5.422217676979575e-06,
                2.2603251062147097e-06,
                7.889261645090304e-06,
                2.5612825160096693e-06,
                5.422218969661113e-06,
                1.3709568799823232e-06,
                4.78509506499309e-06,
                1.5534983101301911e-06,
                2.561282821352716e-06,
                3.927862939126708e-07
            ],
            [
                5.8291279378656556e-05,
                0.00012339458910885372,
                6.14417606659952e-06,
                2.5612831266608576e-06,
                8.939695236398313e-06,
                3.726639728184142e-06,
                4.785094494402695e-06,
                2.902311985079115e-06,
                6.1441760667392215e-06,
                5.144223809946954e-05
            ],
            [
                7.889260703619978e-06,
                1.5534973841895917e-06,
                3.2887478887958082e-06,
                7.338211554688417e-07,
                6.962258734066175e-06,
                1.553497754577351e-06,
                5.4222202624563834e-06,
                1.9947301970451086e-06,
                7.88926164299515e-06,
                1.7603425837494853e-06
            ],
            [
                1.7603432133296774e-06,
                2.902312676941983e-06,
                1.2098658277451275e-06,
                3.288750241410738e-06,
                8.315278294038928e-07,
                1.7603436330179102e-06,
                2.9023130227599746e-06,
                1.2098655392921197e-06,
                5.422217030495909e-06,
                1.7603434231505666e-06
            ],
            [
                1.444979692797559e-07,
                1.0677031245905116e-06,
                4.785094494628999e-06,
                2.5612819053166966e-06,
                7.3382080556433e-07,
                1.7603430034311638e-06,
                1.3709578605617394e-06,
                1.067702615468225e-06,
                4.450852111120808e-07,
                3.726638395493353e-06
            ],
            [
                1.670141985166528e-05,
                1.3007133114318805e-05,
                2.753570422373059e-05,
                1.8925150494750372e-05,
                5.1442238154113305e-05,
                4.0063706483364614e-05,
                1.3007128462785148e-05,
                4.539786317820113e-05,
                7.889265407090955e-06,
                5.1442213548336024e-05
            ],
            [
                6.14417313680765e-06,
                1.892515049199645e-05,
                2.144495096785658e-05,
                1.1478764019557924e-05,
                1.6701421842566163e-05,
                1.3007133114602719e-05,
                1.1478772229781076e-05,
                7.889259763728304e-06,
                0.9996200154708879,
                4.7850967763512445e-06
            ],
            [
                2.561283126639892e-06,
                1.0129987357020188e-05,
                5.422220908703723e-06,
                1.994729483666479e-06,
                6.962258737979408e-06,
                0.0002034269216383671,
                NaN,
                0.9999810748472503,
                0.9999417087414205,
                0.0003353499794913311
            ],
            [
                2.1444953520182517e-05,
                5.144221359250013e-05,
                8.939694172420599e-06,
                1.1478764012939119e-05,
                1.553498495230919e-06,
                1.4738976699106073e-05,
                2.753569437145972e-05,
                1.47389854857293e-05,
                2.4300237828943813e-05,
                6.9622537593854575e-06
            ],
            [
                2.260324028372372e-06,
                1.370957206783032e-06,
                4.78509563546605e-06,
                7.889266347456862e-06,
                6.962259568078904e-06,
                1.370957370236096e-06,
                4.222832437677995e-06,
                1.3709573702111586e-06,
                7.889263525893087e-06,
                1.892515726357648e-05
            ],
            [
                0.9999967112505427,
                1.3007126909159127e-05,
                0.9999898700114362,
                3.7266379513434106e-06,
                3.120190391705884e-05,
                0.9999970976873229,
                0.9999852610145155,
                0.998830489753847,
                0.9999962733593832,
                2.1444943296369872e-05
            ],
            [
                7.88926352599354e-06,
                1.5534977545497995e-06,
                2.9023109471689794e-06,
                6.962256249682458e-06,
                8.939696303010449e-06,
                3.7266392839832006e-06,
                1.0129995809431767e-05,
                1.0129992186774007e-05,
                1.9947290080125335e-06,
                1.0129988562661878e-05
            ],
            [
                1.8925145977014425e-05,
                2.2603234895053587e-06,
                2.430023493228869e-05,
                3.2887494573232236e-06,
                6.962255419570695e-06,
                1.0129987355343409e-05,
                6.475949525834513e-07,
                2.2603253755476615e-06,
                4.78509563550957e-06,
                7.88926634687567e-06
            ],
            [
                1.3709578605542582e-06,
                9.422449308566668e-07,
                2.5612816000646084e-06,
                1.3709570434054234e-06,
                6.9622579095833456e-06,
                1.7603432133296774e-06,
                4.78509563466093e-06,
                1.1478769489343698e-05,
                6.144173868882483e-06,
                4.222834450950777e-06
            ],
            [
                2.2603234895053587e-06,
                3.726640616630245e-06,
                7.338212429464139e-07,
                6.475950297942253e-07,
                5.04347528431602e-07,
                1.5534981249496567e-06,
                1.7603425837494853e-06,
                2.9023126770343703e-06,
                2.260325375677174e-06,
                1.3709570433979422e-06
            ],
            [
                1.1478764018012839e-05,
                1.6701423832586287e-05,
                4.539789028064095e-05,
                7.48462091951041e-05,
                8.481107155633124e-05,
                5.4222202623972055e-06,
                1.0129995809044816e-05,
                3.7266397273639203e-06,
                3.7266379505740294e-06,
                2.260325375572331e-06
            ],
            [
                5.043472879419732e-07,
                9.422444814749625e-07,
                3.9278615343901467e-07,
                1.994729008074216e-06,
                1.9947306726213275e-06,
                1.5534975693347152e-06,
                2.260324028404236e-06,
                1.7603427935967163e-06,
                1.0677032518578904e-06,
                5.043475283939884e-07
            ],
            [
                0.817574478416099,
                0.00043055712994847297,
                0.9859363714587802,
                2.7535697650273915e-05,
                8.939698435096828e-06,
                1.0129987355988324e-05,
                0.000626334241216775,
                1.8925157263094544e-05,
                0.9465966651155708,
                1.8925148237775583e-05
            ],
            [
                2.9023112931688987e-06,
                4.785092782597101e-06,
                1.9947299592570416e-06,
                1.994729959224386e-06,
                5.422220262037209e-06,
                8.93969310647542e-06,
                2.9023109470871505e-06,
                2.561283126679493e-06,
                1.5534975693792215e-06,
                3.2887482812506295e-06
            ],
            [
                3.927862002625787e-07,
                1.7603434231705793e-06,
                3.288750241500471e-06,
                1.7603436329978976e-06,
                1.994729008105057e-06,
                8.315281267430323e-07,
                5.715003107738556e-07,
                4.222832940834793e-06,
                1.5534983101301911e-06,
                1.553498495338299e-06
            ],
            [
                2.430023781444595e-05,
                0.9999910603015647,
                1.9947306726049992e-06,
                3.288749065406658e-06,
                1.2098659719441482e-06,
                2.2603251062270446e-06,
                3.726640616670918e-06,
                0.9997965729540327,
                6.96225375863827e-06,
                1.7603425836870455e-06
            ],
            [
                1.892514147143123e-05,
                1.1478769493540482e-05,
                3.120191508321514e-05,
                1.7603430034151537e-06,
                1.8925157257965367e-05,
                0.9993736657590019,
                2.4300234931404677e-05,
                6.144176799099397e-06,
                0.999915188968843,
                4.785096776068365e-06
            ],
            [
                2.6995787399490254e-07,
                3.288750241500471e-06,
                8.939698434820389e-06,
                1.0677032518748838e-06,
                1.994730434847717e-06,
                1.370957860567974e-06,
                8.764241182605906e-08,
                1.5534977545603963e-06,
                8.315278294072958e-07,
                1.6373766672888118e-07
            ],
            [
                5.715005832853093e-07,
                5.715002426410745e-07,
                1.5534977545497995e-06,
                1.9947299592570416e-06,
                6.605216037292109e-05,
                1.1478772227964558e-05,
                2.260324836651547e-06,
                4.2228324375973415e-06,
                6.962255419380732e-06,
                1.8925141467679015e-05
            ],
            [
                6.144176798590883e-06,
                6.144173137014406e-06,
                8.939695237504067e-06,
                7.338207180838067e-07,
                5.422218969306048e-06,
                2.2603245673155757e-06,
                5.422221554581283e-06,
                1.2098658277082653e-06,
                1.994729245722476e-06,
                4.450849988733914e-07
            ],
            [
                2.260325375664839e-06,
                1.5534984953453635e-06,
                2.902311985146426e-06,
                1.2098661161789477e-06,
                2.9023112931688987e-06,
                3.288749457432399e-06,
                4.785093923916815e-06,
                2.2603245672497918e-06,
                2.902312331125353e-06,
                4.22283394786293e-06
            ],
            [
                1.3709570434054234e-06,
                2.2603251062013478e-06,
                5.422220262505697e-06,
                4.785092783415276e-06,
                6.475948753847607e-07,
                1.9947299592570416e-06,
                5.4222170304318e-06,
                1.7603438428460541e-06,
                4.222833444506298e-06,
                8.939698434966738e-06
            ],
            [
                0.9999599363030446,
                0.9993736657622081,
                0.8933094159957174,
                0.9997388095663394,
                0.9999339478238761,
                0.9998911030387961,
                0.9997694932023711,
                0.9997040427611892,
                0.9999599362887278,
                0.999903897596573
            ],
            [
                1.1478765387667046e-05,
                0.9840936118744578,
                1.1478766756444477e-05,
                1.4738985483504099e-05,
                6.962253759581752e-06,
                8.93969310584124e-06,
                4.222835458044565e-06,
                1.3007131564643372e-05,
                3.535624226936835e-05,
                8.939698435226916e-06
            ],
            [
                2.56128159999123e-06,
                1.0677032518578904e-06,
                4.222832940777184e-06,
                4.222834954687752e-06,
                2.260324028404236e-06,
                4.78509563550957e-06,
                1.1478770859624945e-05,
                1.3709572068179446e-06,
                1.3709575337016483e-06,
                1.3709576971316842e-06
            ],
            [
                3.7266388396975786e-06,
                4.785093923603471e-06,
                2.1024339116082313e-07,
                1.7603425837062577e-06,
                2.9023116389365734e-06,
                3.7266388396128453e-06,
                1.3709568799679844e-06,
                1.9947297214944016e-06,
                4.785095635413826e-06,
                4.450851580497677e-07
            ],
            [
                3.726639728262097e-06,
                1.6701419846288166e-05,
                0.998830489610106,
                0.9875683519023946,
                0.9980732657033703,
                9.422445938917108e-07,
                2.6995787400208416e-07,
                6.605215222741307e-05,
                1.0677024881499412e-06,
                7.889266345196678e-06
            ],
            [
                0.9999038976193912,
                0.9998911031167671,
                0.9999546021476057,
                6.962255419279419e-06,
                1.8925152752138513e-05,
                1.1478773598329648e-05,
                0.9999485577986111,
                0.9984988179601644,
                6.9622562492265485e-06,
                4.222833947820683e-06
            ],
            [
                9.422450431732037e-07,
                6.962257079465052e-06,
                7.889266347356409e-06,
                3.7266388395111645e-06,
                2.5612828212676906e-06,
                0.9998601779094832,
                4.222833947897496e-06,
                4.785096776251149e-06,
                0.9999151889587602,
                0.999860177909463
            ],
            [
                1.760344052714248e-06,
                3.2887482811579057e-06,
                2.561282821352716e-06,
                1.3709578605355551e-06,
                3.7266397282926013e-06,
                1.5534975693707442e-06,
                1.9947301970587145e-06,
                1.3709572067955008e-06,
                1.9947299592570416e-06,
                1.3709578605455302e-06
            ],
            [
                1.8925145983348442e-05,
                7.889259764079887e-06,
                4.222833947674739e-06,
                0.9999546021259655,
                3.288748673295719e-06,
                2.5612815999679353e-06,
                1.892514372640862e-05,
                6.1441767989541075e-06,
                5.42221767672807e-06,
                6.144173136645595e-06
            ],
            [
                1.99473067264854e-06,
                4.785093923982095e-06,
                3.2887490653408545e-06,
                2.561283432005142e-06,
                7.889262578983744e-06,
                1.7603432133136672e-06,
                1.994730434816876e-06,
                1.0677032518748838e-06,
                7.889262584508638e-06,
                1.6701423833436905e-05
            ],
            [
                4.450849458125204e-07,
                3.288749457432399e-06,
                2.5612822106421996e-06,
                3.927862002641863e-07,
                7.338207180601138e-07,
                1.3709572068272963e-06,
                1.0677031245905116e-06,
                1.0677032518093368e-06,
                2.9023112929973233e-06,
                1.5534981249397663e-06
            ],
            [
                1.4738980212296288e-05,
                1.8925157262578186e-05,
                4.785095064044355e-06,
                8.93969950000193e-06,
                6.9622537593854575e-06,
                4.222833444283541e-06,
                4.7850950648799385e-06,
                2.5612815999679353e-06,
                3.120190020613144e-05,
                9.61024490987887e-05
            ],
            [
                1.9947299592824403e-06,
                2.5612819053586272e-06,
                1.0677024881941248e-06,
                3.535625487278559e-05,
                0.9999938558232011,
                8.315283250371857e-07,
                2.4300246516082393e-05,
                4.785094494576774e-06,
                1.8553916819032217e-07,
                8.315280276546789e-07
            ],
            [
                2.2603248367173307e-06,
                2.260324836624822e-06,
                1.1478773596575768e-05,
                1.5534975693707442e-06,
                1.7603434231505666e-06,
                4.22283294098842e-06,
                3.0590229985449037e-07,
                6.475949525919915e-07,
                1.0677026154619133e-06,
                2.56128159999123e-06
            ],
            [
                6.962257079173776e-06,
                3.2887482812506295e-06,
                3.726640616748873e-06,
                4.539787399116584e-05,
                2.9023133690425823e-06,
                4.785092783415276e-06,
                1.01299933928585e-05,
                2.2603251062147097e-06,
                5.422221555192784e-06,
                0.00033535026538215743
            ],
            [
                6.144173869379821e-06,
                1.0129993394664264e-05,
                9.42244256915735e-07,
                6.1441738684354385e-06,
                6.144175334094145e-06,
                1.6701419850845044e-05,
                3.2887506333812835e-06,
                2.260323489410794e-06,
                1.5534979396645902e-06,
                1.1478770858372173e-05
            ],
            [
                1.0129993393945642e-05,
                3.288749457383046e-06,
                2.902310947190096e-06,
                3.726639283752725e-06,
                6.144176799166453e-06,
                6.475949526003845e-07,
                3.2887490653408545e-06,
                1.670142781520948e-05,
                5.422221554482653e-06,
                3.726639728262097e-06
            ],
            [
                9.422445939002803e-07,
                2.9023116391477434e-06,
                1.7603436330091044e-06,
                1.3007123812980299e-05,
                NaN,
                2.260325375677174e-06,
                1.209865683500459e-06,
                3.2887494572873306e-06,
                2.5612819053166966e-06,
                3.2887494573232236e-06
            ],
            [
                0.9924227582208922,
                0.9998766053959498,
                0.992422759723118,
                0.9740426456278625,
                0.9986749777677991,
                0.9982992778316784,
                0.9986749774047067,
                0.9997388097865698,
                0.9990889488776546,
                0.9995694429694661
            ],
            [
                1.0677032518700286e-06,
                7.338212429537553e-07,
                3.288748673295719e-06,
                3.7266383955611403e-06,
                3.726638839806038e-06,
                7.338213304283347e-07,
                5.422218969601935e-06,
                1.760342793583908e-06,
                8.939695237959376e-06,
                2.5612822106841303e-06
            ],
            [
                1.5534971989696065e-06,
                2.260324028372372e-06,
                3.46632497145457e-07,
                1.760344052693435e-06,
                5.043475885634304e-07,
                6.144176066051891e-06,
                2.9023123310290063e-06,
                1.4738987242432592e-05,
                3.2887482811579057e-06,
                3.7266388397721442e-06
            ],
            [
                6.144175334015912e-06,
                6.144176798870286e-06,
                0.9940889311355473,
                0.9770226275810571,
                0.985936372065718,
                0.9924227591733524,
                0.9924227586130816,
                0.053403331871329895,
                0.0009110511964139555,
                6.144176066264237e-06
            ],
            [
                5.422217030555087e-06,
                1.2098659719601033e-06,
                5.715005151400212e-07,
                2.9023112931688987e-06,
                1.3007133115667397e-05,
                7.338213304143191e-07,
                1.1478766756653273e-05,
                2.5612819053586272e-06,
                2.902311985079115e-06,
                7.889261644760245e-06
            ],
            [
                6.144177531532303e-06,
                1.370956716519966e-06,
                1.0129992186774007e-05,
                2.260323758923431e-06,
                3.7266392835086923e-06,
                7.889265406438011e-06,
                1.012999218369684e-05,
                2.902313368963394e-06,
                6.9622554185195676e-06,
                9.422443692090534e-07
            ],
            [
                1.3007123811513407e-05,
                6.605213661206851e-05,
                6.475947981860793e-07,
                1.6701429805199933e-05,
                5.4222183212934785e-06,
                9.610242597024299e-05,
                6.144173868983067e-06,
                1.994729483033326e-06,
                8.939695237959376e-06,
                8.481107138664816e-05
            ],
            [
                3.7266388395111645e-06,
                1.3007131564643372e-05,
                2.561283431986506e-06,
                1.5534979397592542e-06,
                8.939698434966738e-06,
                1.3709576970824327e-06,
                5.422220262555012e-06,
                2.902313368963394e-06,
                2.5612831266608576e-06,
                6.962254589528684e-06
            ],
            [
                1.0677031245953668e-06,
                1.5534971989992774e-06,
                5.422220262505697e-06,
                2.902313023039776e-06,
                1.553497199007048e-06,
                4.222835458002318e-06,
                1.0677032518700286e-06,
                1.2098656835076114e-06,
                1.7603430034655858e-06,
                1.760343423160973e-06
            ],
            [
                2.260325375664839e-06,
                2.260324836776948e-06,
                4.2228349547223175e-06,
                1.4738987236641703e-05,
                7.48462360195503e-05,
                6.962257079465052e-06,
                5.422218969217281e-06,
                3.2887478892504536e-06,
                4.7850950648799385e-06,
                6.475947209918244e-07
            ],
            [
                0.9999974387171787,
                0.9525741315347258,
                0.9999898700102283,
                0.9999852610232997,
                0.999959936322143,
                0.999968798081189,
                0.999964643753501,
                0.9999974387187053,
                0.9993736658317618,
                0.9999898700126431
            ],
            [
                1.99473067264854e-06,
                2.3823688159291947e-07,
                2.2603242978665707e-06,
                3.288750241500471e-06,
                2.2603245672497918e-06,
                6.962253759581752e-06,
                3.7266379512857925e-06,
                4.222831934248571e-06,
                1.0129992186774007e-05,
                1.7603440526806268e-06
            ],
            [
                2.102434162220159e-07,
                1.99473067264854e-06,
                1.892515725376564e-05,
                2.260325105693578e-06,
                1.7603438428460541e-06,
                1.0129989771288745e-05,
                7.889263524960312e-06,
                1.7603432133032607e-06,
                1.4738985477605971e-05,
                1.209865827740176e-06
            ],
            [
                2.1024326584639497e-07,
                2.2603242978213447e-06,
                1.7603425837702984e-06,
                1.9947297214944016e-06,
                3.7266383955882547e-06,
                1.3709567165386693e-06,
                4.222835458044565e-06,
                1.553497384196656e-06,
                2.5612819052374947e-06,
                5.422221555133606e-06
            ],
            [
                0.9999724643056184,
                0.999841563726562,
                0.9999832985801471,
                0.9999038975964829,
                0.9999485578047457,
                0.9999724643023361,
                0.9999151889283443,
                0.9999546021259533,
                0.9999885212305059,
                0.9978172833984699
            ],
            [
                0.9997388097221476,
                0.9997694932300513,
                0.9875683495127004,
                1.3709568799679844e-06,
                0.9324533036984185,
                1.7603440526806268e-06,
                6.1441746017453204e-06,
                1.3709568799823232e-06,
                2.561282210590951e-06,
                6.144177530548804e-06
            ],
            [
                8.315282259009745e-07,
                3.2887506335906595e-06,
                1.7603427936183298e-06,
                9.4224425692559e-07,
                3.726638839656906e-06,
                9.422448185388577e-07,
                1.3709568799823232e-06,
                1.209865250822125e-06,
                2.5612831266946347e-06,
                1.7603440527046419e-06
            ],
            [
                0.9999151889284177,
                0.006692850574465947,
                4.222833444429485e-06,
                0.05340333507274788,
                0.9999967112517187,
                0.999985261021543,
                1.473898723610551e-05,
                0.9999957771680656,
                0.9997040429363098,
                0.9999646437324344
            ],
            [
                1.9947297214944016e-06,
                6.475951070002966e-07,
                1.7603436329978976e-06,
                2.9023119851635836e-06,
                1.2098661161861e-06,
                3.288749849368453e-06,
                1.2098659719661556e-06,
                2.260323758939877e-06,
                1.1478764017720528e-05,
                3.726641061027928e-06
            ],
            [
                3.2887486732358968e-06,
                7.338207180838067e-07,
                6.144172404520556e-06,
                0.9993736659033557,
                8.315282259089153e-07,
                3.288750633518874e-06,
                5.715005832872586e-07,
                2.2603251062147097e-06,
                1.2098659719601033e-06,
                2.902310947208574e-06
            ],
            [
                3.2887478892055875e-06,
                1.760343423160973e-06,
                2.2603245672867952e-06,
                1.5534983101478522e-06,
                1.2098655392921197e-06,
                1.0677029973114952e-06,
                1.7603434231705793e-06,
                4.785096776251149e-06,
                3.288750633518874e-06,
                1.3709573702647743e-06
            ],
            [
                1.553497754577351e-06,
                2.9023112931688987e-06,
                4.7850967763512445e-06,
                2.260324836696773e-06,
                2.9023133690425823e-06,
                5.043475284430694e-07,
                6.1441775312976045e-06,
                2.260323489410794e-06,
                3.726641061058432e-06,
                2.6995784182073116e-07
            ],
            [
                4.785096205882502e-06,
                6.962255419380732e-06,
                9.422445938557184e-07,
                4.222834451292594e-06,
                2.260323489490968e-06,
                6.962258739271155e-06,
                3.288749849477628e-06,
                1.99473067264854e-06,
                7.88925976359915e-06,
                7.3382080556433e-07
            ],
            [
                7.88926164421493e-06,
                2.2603253755476615e-06,
                4.222833443553821e-06,
                1.3007131563176482e-05,
                3.726640172503764e-06,
                8.939695237504067e-06,
                2.1444948397509574e-05,
                7.88926540679677e-06,
                2.5612825159677387e-06,
                1.8925152750176348e-05
            ],
            [
                1.3709573702778664e-06,
                1.3709567165530083e-06,
                8.315281267834927e-07,
                1.7603425837606927e-06,
                3.726638395493353e-06,
                8.315280276580819e-07,
                1.5534973841895917e-06,
                1.3709570434122812e-06,
                1.3709568799823232e-06,
                1.3709568799679844e-06
            ],
            [
                1.2098661162023305e-06,
                1.5534983101393749e-06,
                1.7603436330091044e-06,
                2.2603242977308917e-06,
                4.2228349536200574e-06,
                2.5612831265909735e-06,
                3.2887498492518007e-06,
                1.2098661161789477e-06,
                2.902312677104321e-06,
                1.0677031245851707e-06
            ],
            [
                1.012999460108057e-05,
                0.8354835432479661,
                1.0677029972639127e-06,
                2.902313023063532e-06,
                7.33820893021171e-07,
                6.144173868558375e-06,
                1.2098661161927025e-06,
                1.5534979397592542e-06,
                1.9947294836483373e-06,
                1.9947301970106386e-06
            ],
            [
                8.939698434657777e-06,
                1.5534983101301911e-06,
                8.315277302059155e-07,
                1.067702615468225e-06,
                2.9023112931213857e-06,
                8.315279285149107e-07,
                1.3709576971379186e-06,
                4.785096776133645e-06,
                7.338209805040511e-07,
                1.9947299592824403e-06
            ],
            [
                1.0677028700203557e-06,
                1.2098662603961589e-06,
                8.939695238211425e-06,
                2.382368247924618e-07,
                7.338207180801359e-07,
                1.2098662604192665e-06,
                6.1441767987808774e-06,
                3.288750633518874e-06,
                4.222834954561012e-06,
                1.0677031245953668e-06
            ],
            [
                1.994729245917502e-06,
                4.785092783319532e-06,
                2.902313022984344e-06,
                2.561281600049467e-06,
                4.222834451254188e-06,
                1.76034300345598e-06,
                1.2098661161927025e-06,
                6.475950297993789e-07,
                1.5534979397500702e-06,
                3.120191880379252e-05
            ],
            [
                5.043473480730849e-07,
                7.889259763326495e-06,
                2.561283126679493e-06,
                1.9947292458930106e-06,
                2.2603234895053587e-06,
                2.9023123311055552e-06,
                2.9023112930659533e-06,
                4.222833444283541e-06,
                1.7603427936183298e-06,
                3.726638395527247e-06
            ],
            [
                4.222833444283541e-06,
                9.422445938861406e-07,
                2.561283431942246e-06,
                1.760343423160973e-06,
                6.962258739271155e-06,
                2.561282210590951e-06,
                1.7603434231705793e-06,
                6.962255419475714e-06,
                5.422221554758815e-06,
                3.28874867308036e-06
            ],
            [
                0.9999417087066808,
                0.9989677689250713,
                0.9997965729540327,
                0.9995121428239993,
                0.9999810748427396,
                0.9998766053810425,
                0.9999417087553398,
                0.9999646437493199,
                0.99999844650169,
                0.9999546021097171
            ],
            [
                5.829129318184594e-05,
                5.71500651413193e-07,
                3.288750633488963e-06,
                4.222833947897496e-06,
                5.422220908481809e-06,
                6.962256249682458e-06,
                2.1444958622572883e-05,
                1.0129990978220553e-05,
                5.715004470272272e-07,
                5.422218969601935e-06
            ],
            [
                5.715005832872586e-07,
                1.7603427936263351e-06,
                1.0677026154730804e-06,
                2.2603251062270446e-06,
                3.726639284103523e-06,
                2.2603237589542675e-06,
                4.222833947728508e-06,
                6.962258739068529e-06,
                1.9947297214944016e-06,
                1.7603432133296774e-06
            ],
            [
                5.715004470313855e-07,
                3.2887494572514376e-06,
                4.222833444106873e-06,
                5.715007195447234e-07,
                2.260323758939877e-06,
                1.3709568799823232e-06,
                7.88925976359915e-06,
                2.430023493564795e-05,
                8.315280276505193e-07,
                5.422218969818919e-06
            ],
            [
                1.6701425816409292e-05,
                4.006369216143581e-05,
                3.7266406165827946e-06,
                4.785094493836935e-06,
                4.539786320924914e-05,
                2.144495863482118e-05,
                1.892514371900746e-05,
                1.1478766756214804e-05,
                3.726638394957837e-06,
                7.484626286742124e-05
            ],
            [
                5.42221767672807e-06,
                3.2887490652451393e-06,
                4.222831934352267e-06,
                2.902313023101807e-06,
                5.422218969306048e-06,
                1.8925152747388e-05,
                6.9622537587775775e-06,
                1.147876949310201e-05,
                5.422218969661113e-06,
                5.422218322940583e-06
            ],
            [
                4.2228334445658276e-06,
                0.9975273769720038,
                0.9999038975506963,
                0.9999417087066808,
                6.144177530548804e-06,
                1.7603432133032607e-06,
                2.5612831266946347e-06,
                2.5612819053399912e-06,
                3.726641060956752e-06,
                0.9997040429360429
            ],
            [
                2.260324028404236e-06,
                2.2603251061849014e-06,
                2.5612812947380135e-06,
                1.9947297215043796e-06,
                1.067703379136937e-06,
                2.9023119851635836e-06,
                1.7603438428188364e-06,
                0.999997097687669,
                4.785092783319532e-06,
                1.553497199007048e-06
            ],
            [
                0.9999599363125955,
                4.785092783210732e-06,
                0.9999599363078219,
                1.1478766757237902e-05,
                1.3709572068422585e-06,
                8.315277302819205e-07,
                1.994729483694599e-06,
                7.889260703619978e-06,
                2.260325375677174e-06,
                1.9947299592570416e-06
            ],
            [
                3.288750633488963e-06,
                9.422445938917108e-07,
                2.9023126770343703e-06,
                6.144175333926503e-06,
                2.5612834320214477e-06,
                1.5534984953298217e-06,
                4.222834450743383e-06,
                1.3709567165530083e-06,
                6.144174601208867e-06,
                2.2603237589676295e-06
            ],
            [
                2.902312677104321e-06,
                8.315282258680767e-07,
                2.260323489299784e-06,
                9.422448185435711e-07,
                2.382368247909451e-07,
                1.3709578605542582e-06,
                8.315278294038928e-07,
                5.043474081867732e-07,
                6.475951069961737e-07,
                4.450851049917114e-07
            ],
            [
                1.067702615468225e-06,
                5.043474683204221e-07,
                7.338208930421943e-07,
                1.7603430034743913e-06,
                1.2098655392921197e-06,
                7.338212429504183e-07,
                2.561283431986506e-06,
                1.7603438428564603e-06,
                7.889266347004826e-06,
                6.96225956921868e-06
            ],
            [
                1.0677032518316716e-06,
                2.902311985079115e-06,
                1.4738988998787566e-05,
                3.7266379512112265e-06,
                1.7603440527222532e-06,
                7.889260704423598e-06,
                1.994729721482609e-06,
                6.475947981975644e-07,
                1.2098653950606901e-06,
                9.422450431654909e-07
            ],
            [
                1.9947304348332037e-06,
                5.043472278016945e-07,
                2.1024341622368903e-07,
                2.5612831265909735e-06,
                4.222833444467892e-06,
                3.059021904580685e-07,
                1.0677033791291683e-06,
                0.9465966683169889,
                1.99472995920443e-06,
                1.6373764720990908e-07
            ],
            [
                0.9968273168217373,
                4.0063711283916205e-05,
                2.753569109454917e-05,
                0.9399133529818484,
                0.9990889490099503,
                0.9669140228030645,
                1.1478764019328247e-05,
                0.9840936070052908,
                1.8925150492616083e-05,
                0.9953904268612901
            ],
            [
                5.422219616140078e-06,
                8.939698435226916e-06,
                2.902312677007974e-06,
                2.14449509695729e-05,
                4.222835458148261e-06,
                3.726640172503764e-06,
                3.288749457383046e-06,
                1.1478768124992398e-05,
                0.9999151889384222,
                3.466327037539638e-07
            ],
            [
                0.9991959140489378,
                0.9978172837311235,
                0.9796676459895064,
                0.9875683500843976,
                3.2887498494282754e-06,
                3.466327863945479e-07,
                5.4222202617511845e-06,
                4.78509506499309e-06,
                0.9971990728065694,
                2.561283431986506e-06
            ],
            [
                4.222832940942332e-06,
                2.7535697655983693e-05,
                6.605213676969247e-05,
                0.9999687980960844,
                5.4222183231674305e-06,
                3.72664061671159e-06,
                5.4222183231674305e-06,
                2.1444950965906214e-05,
                0.914900957313305,
                2.4300240727367308e-05
            ],
            [
                1.994729959270648e-06,
                4.2228319341064674e-06,
                3.726641060658489e-06,
                2.561281905376098e-06,
                3.726640616748873e-06,
                2.561281600049467e-06,
                5.422218969720291e-06,
                2.5612825160271407e-06,
                5.422218969463855e-06,
                4.222833444229772e-06
            ],
            [
                9.422445938964242e-07,
                2.561282210729555e-06,
                4.785096205973894e-06,
                1.0129987357020188e-05,
                8.939695237813028e-06,
                2.2603240283888175e-06,
                8.315282258956806e-07,
                2.2603245672497918e-06,
                4.785095635413826e-06,
                2.260324567302214e-06
            ],
            [
                6.144173868781898e-06,
                2.2603245673155757e-06,
                6.475948753965404e-07,
                1.5534979397592542e-06,
                4.2228324375973415e-06,
                3.7266397282926013e-06,
                1.760344052632596e-06,
                1.9947290080125335e-06,
                4.222833947820683e-06,
                3.2887478892055875e-06
            ],
            [
                1.6701425824307884e-05,
                6.962253759157502e-06,
                5.422220908703723e-06,
                1.0129987356541108e-05,
                1.8925145981833788e-05,
                3.288750241374845e-06,
                4.785095064523075e-06,
                6.962256249606473e-06,
                4.785093352813021e-06,
                1.994730196733067e-06
            ],
            [
                2.2603251059484907e-06,
                4.7850933535659155e-06,
                0.7772998508568416,
                4.785093923516432e-06,
                1.0677033791437343e-06,
                1.5534975693205863e-06,
                2.1444956063303036e-05,
                7.889263525778283e-06,
                4.222834953896582e-06,
                3.72664017246987e-06
            ],
            [
                3.7266379512857925e-06,
                3.7266388397382506e-06,
                5.422218969769604e-06,
                1.55349775456958e-06,
                9.422447062202052e-07,
                2.5612822106654943e-06,
                4.222833947820683e-06,
                1.5534973841154145e-06,
                4.7850933538313875e-06,
                1.3007123811229494e-05
            ],
            [
                1.5534984953199313e-06,
                3.2887478890769702e-06,
                1.067703379154416e-06,
                5.422220907791405e-06,
                1.3709572068079696e-06,
                1.7603430034743913e-06,
                1.3709576971316842e-06,
                1.2098655392921197e-06,
                2.382370235922541e-07,
                1.7603440527046419e-06
            ],
            [
                2.5612828213690224e-06,
                8.315277302819205e-07,
                1.9947301970587145e-06,
                2.9023109471452223e-06,
                4.785095064523075e-06,
                5.422220908762902e-06,
                1.994730197071414e-06,
                1.7603436330259153e-06,
                1.5534971989992774e-06,
                5.715005151550947e-07
            ]
        ]
    },
    {
        "q_id": "10449_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            114,
            120,
            122,
            124,
            127,
            112,
            113,
            115,
            116,
            117,
            118,
            119,
            121,
            123,
            125,
            126
        ],
        "rewards": [
            [
                5.144220134032976e-05,
                0.9999687980774731,
                0.9999832985761651,
                0.999994577779738,
                0.9999810748562789,
                0.9999885212305086,
                0.9998911031299073,
                0.9999251537551797,
                0.9999885212264035,
                0.9999646437577374
            ],
            [
                0.9999852610110042,
                0.9999992661791071,
                0.9999785550439179,
                0.9999852610233041,
                0.9999724643154645,
                0.9999810748449961,
                0.9999962733589389,
                0.9999952149060758,
                0.9999646437366431,
                0.9999967112493665
            ],
            [
                0.9859363759656163,
                0.9982992777409555,
                0.00010889689591987614,
                0.9978172831804194,
                0.0005527787323368842,
                0.0003353502212038035,
                0.9947798745095637,
                0.0003799845716951572,
                0.9975273774044356,
                0.0003353501070503981
            ],
            [
                0.999373665975387,
                0.00010889696071902808,
                0.7549149868676284,
                1.4738985480179701e-05,
                3.726639728262097e-06,
                6.605212842523519e-05,
                3.5356238038776134e-05,
                0.9988304897251533,
                0.0002305067409473547,
                7.48462539462643e-05
            ],
            [
                0.9995121428844838,
                0.9993736657064631,
                0.957912274637613,
                0.00669285055279575,
                0.0007096703175746889,
                0.914900963114118,
                0.9990889488890987,
                0.9859363739769266,
                0.9980732650331058,
                0.9149009578933863
            ],
            [
                0.9999977396754327,
                0.9999991684722697,
                0.999998239656577,
                0.9999994956525318,
                0.9999546021097292,
                0.9999996533675028,
                0.9999996072138934,
                0.999999730042126,
                0.9999994284992805,
                0.9999984465024306
            ],
            [
                0.00010889688308554166,
                0.9999687980886335,
                0.9997965730754879,
                0.9999687980774836,
                0.9999646437535114,
                0.9706877709975739,
                0.9997965730524824,
                0.9998766054104082,
                0.9999869928761882,
                0.9996200155146319
            ],
            [
                0.9999977396748938,
                0.9997965729805097,
                0.9999885212291387,
                0.9999869928668877,
                0.9999885212305073,
                0.9999885212264021,
                0.9999785550541526,
                0.9999885212305111,
                0.9999938558246657,
                0.9999984465026159
            ],
            [
                0.9840936045852853,
                1.3007125355533295e-05,
                5.829125850317835e-05,
                0.7981867729389246,
                0.9902915234737562,
                0.9980732656187478,
                0.9890130592517202,
                0.9859363700641143,
                0.9990889488772838,
                1.147876538716594e-05
            ],
            [
                0.9999970976890531,
                0.9999987901346049,
                0.9999724643154754,
                0.9992903295000136,
                0.9999984465020604,
                0.9998204719922593,
                0.9999991684718732,
                0.9999945777797385,
                0.006692850137966275,
                0.9999785550567065
            ],
            [
                0.9999756997563752,
                0.999995777167059,
                0.999995777166556,
                0.9980732653004056,
                0.9997965729295415,
                0.9046505383142494,
                0.9999945777829695,
                0.9999945777816767,
                0.9999910603015658,
                0.0019267347645163864
            ],
            [
                0.0003799845165869618,
                0.9997965730032102,
                0.9997694932328883,
                0.9986749778713198,
                0.00023050663085061811,
                0.0001795279860766816,
                0.9991959138966666,
                0.0004305571223079385,
                1.1478772223224906e-05,
                0.0005527787244902904
            ],
            [
                0.9999938558224687,
                0.9933071498403635,
                0.9999945777784457,
                0.999983298576167,
                0.9999945777816768,
                0.9999938558246665,
                0.9999869928668853,
                0.9999957771650453,
                0.9999984465022455,
                0.9999977396765106
            ],
            [
                0.999860177876933,
                0.9999967112497585,
                0.9999982396561572,
                0.9988304894609252,
                0.999999730042319,
                0.9999984465018752,
                0.9999756997679602,
                0.9999980052707543,
                0.9999957771650463,
                0.9999996072137529
            ],
            [
                0.9999991684718732,
                0.9999898700066084,
                0.9999921107355337,
                0.9999992661788446,
                0.9999945777816766,
                0.9999986290424664,
                0.9999996072136592,
                0.9999989322968754,
                0.9999251537816741,
                0.9999974387177893
            ],
            [
                0.9999921107355342,
                0.9999785550567073,
                0.9999687980997889,
                0.999941708755328,
                0.00015843615913314568,
                0.9999810748472489,
                0.9998415637077078,
                0.999512142766495,
                0.0013250222919717182,
                0.9999646437493439
            ],
            [
                0.999447221257694,
                0.999664649850225,
                0.9997388096597012,
                0.9988304896611021,
                0.9992903295152044,
                0.9796676457668949,
                0.9740426434144294,
                0.9998911030517628,
                0.9924227586200851,
                0.9990889487318486
            ],
            [
                0.9999810748472484,
                0.9999417087553318,
                0.9986749777775041,
                0.9999910603047626,
                0.999959936298279,
                0.9875683504388499,
                0.999988521233243,
                1.4738981970956057e-05,
                4.006370647870077e-05,
                0.9999646437577226
            ],
            [
                1.8925143725892257e-05,
                0.9999599363221466,
                0.9994472213241329,
                0.00029595716491176096,
                0.9999977396757022,
                0.9999810748540198,
                0.9999910602994346,
                0.9998601779764474,
                0.994779873102217,
                0.999959936317381
            ],
            [
                0.9999756997563743,
                0.9999987901344607,
                0.9999991684717741,
                0.9999987901341723,
                0.9999996533672962,
                0.9999952149060757,
                0.9999991684722699,
                0.9999989322972572,
                0.9999982396567868,
                0.9999982396559475
            ],
            [
                0.9999599363030465,
                0.9999930377429209,
                0.9997388096913081,
                0.9999832985821435,
                9.610244915612066e-05,
                0.9999952149037944,
                0.9999852610127582,
                0.9999646437324302,
                0.9999599363173673,
                0.00029595709796172625
            ],
            [
                0.0011695100836452872,
                0.9940889324106562,
                0.9998415637845766,
                0.9999785550515878,
                0.017986209698896728,
                0.9999962733598274,
                0.9998204720339496,
                0.002472623718279647,
                0.0028009263421683015,
                0.99998329858015
            ],
            [
                0.999999168471675,
                0.9999687980998051,
                0.9999970976883614,
                0.9999967112521109,
                0.9978172834740269,
                0.9796676443199194,
                0.9999994956525918,
                0.9999910603047647,
                0.9999970976866319,
                0.9999810748472489
            ],
            [
                0.999876605426082,
                0.9999885212305066,
                0.9999986290423029,
                0.9999485577864307,
                0.9999977396765108,
                0.9999810748449955,
                0.9999930377429205,
                0.9999869928699862,
                0.9999038975850983,
                0.9999417087067919
            ],
            [
                0.9991959139611575,
                0.9998415637645629,
                0.0011695100561753752,
                0.8807970873650401,
                0.0015011824977191187,
                0.9997388097536177,
                0.9982992778478861,
                0.9525741216052517,
                0.9991959141471471,
                0.9996200154278516
            ],
            [
                0.0021827164331749242,
                0.9626731125220075,
                0.00010889689602128323,
                0.7772998560157663,
                0.9997694933400205,
                3.5356250651195314e-05,
                1.8925141470949294e-05,
                0.9998766054549343,
                0.9999957771675624,
                0.002800926732357258
            ],
            [
                0.9998415637842262,
                0.9940889321096649,
                0.9998204719741712,
                0.997527377190804,
                0.9988304898513517,
                0.9986749776855371,
                0.9978172839304115,
                0.9991959139653197,
                0.9992903296252953,
                0.0017007227539687002
            ],
            [
                0.00020342694671843532,
                4.539788482626311e-05,
                0.00023050673957910987,
                1.3007128463873485e-05,
                0.00020342706846661308,
                2.144494583831896e-05,
                0.9820137869124695,
                0.9324533163686646,
                2.7535687811228037e-05,
                0.993307149245981
            ],
            [
                0.9999992661792819,
                0.9999990577551816,
                0.9999974387165682,
                0.9999992661791945,
                0.999998790134605,
                0.9999957771675626,
                0.9999996533673375,
                0.9999987901338838,
                0.9999967112517189,
                0.9999990577556308
            ],
            [
                0.999999554914895,
                0.9999997897566089,
                0.9999910603058296,
                0.9999997617631469,
                0.9999993524053563,
                0.9999974387177895,
                0.9999982396559474,
                0.9999995549149481,
                0.9999977396754333,
                0.9999991684716751
            ],
            [
                4.78509563546605e-06,
                0.999964643732436,
                7.889259764273619e-06,
                0.9999832985701977,
                0.999941708748388,
                0.00033535022393568027,
                0.9997694931775817,
                0.001169510097652223,
                2.144494838924002e-05,
                0.00010889688297145868
            ],
            [
                0.9999151889588594,
                0.9992903294541116,
                0.9991959139640569,
                0.00023050673845902706,
                0.9991959141544894,
                0.9626731119865553,
                0.9997694932320701,
                0.9968273178371696,
                0.9986749775136191,
                0.989013059555319
            ],
            [
                0.9998601779095057,
                0.9998911031298249,
                0.9999756997679633,
                0.9997965730269229,
                0.0002959570112323917,
                0.9902915255510706,
                0.9997040428309721,
                0.9999910603047619,
                0.9999151889384605,
                0.9996646498506738
            ],
            [
                0.9989677690442744,
                0.0001795279437125447,
                0.9770226282919171,
                0.0035936019361409665,
                0.9820137865176771,
                0.9953904270193988,
                4.0063701685728496e-05,
                0.9933071502892462,
                0.010986942357354127,
                0.0010322310419166886
            ],
            [
                0.9996200155609736,
                0.9988304899077873,
                0.9991959139663017,
                0.9986749775666117,
                0.9999038975507166,
                0.9992903295398066,
                0.9995694428643399,
                0.9997694933673787,
                0.9999546021151431,
                0.9991959141687532
            ],
            [
                0.9999970976866311,
                0.9999945777790911,
                0.9999945777816769,
                0.9999989322968754,
                0.9998911030778569,
                0.9999945777816768,
                0.999986992873089,
                0.9999994956524716,
                0.9999938558261308,
                0.9998415637653466
            ],
            [
                0.9996200155651633,
                0.9959298619594381,
                0.9999599363221447,
                0.9999869928715358,
                0.0004878571070863742,
                0.0035936022304349194,
                0.9999987901341724,
                0.9999910602994333,
                0.9996646499325423,
                0.9999785550515873
            ],
            [
                0.9999852610110046,
                0.9999852610127591,
                0.999941708713625,
                0.9999417087344762,
                0.9998601779764474,
                0.9890130582397237,
                0.9999151889182516,
                0.999975699767958,
                0.9998911031166673,
                0.0031726832143440494
            ],
            [
                0.9998766053664531,
                0.9999251537549482,
                0.9998204720124266,
                0.9999898700102298,
                0.999954602120542,
                0.9999646437619372,
                0.9999810748495068,
                0.9999724643056345,
                0.9999869928746372,
                0.999915188958662
            ],
            [
                0.9890130551430143,
                0.9978172832128734,
                0.9992903295730361,
                0.9740426456749568,
                0.9975273771798927,
                0.9980732656832222,
                0.994088931179328,
                0.995929862597444,
                0.9947798738518348,
                0.0019267350497258681
            ],
            [
                0.0019267350689786292,
                0.9999785550541442,
                0.9324533154301279,
                0.9999599362934934,
                0.9999967112521108,
                0.9999599363173711,
                0.9999930377420904,
                0.9999952149037942,
                0.9999957771660523,
                0.999981074854021
            ],
            [
                3.1201903922734266e-05,
                0.00010889693492833987,
                0.00023050679703198726,
                9.610239189829757e-05,
                3.1201922487820644e-05,
                0.0007096703625274494,
                4.0063706490068886e-05,
                3.120190020204515e-05,
                6.144175334094145e-06,
                5.144219525129858e-05
            ],
            [
                0.9999810748450184,
                0.9999599363030588,
                0.9999599363030427,
                0.9998911030647897,
                0.9998415638025454,
                0.9999251537995218,
                0.999841563839772,
                0.9999417087345085,
                0.9999852610215436,
                0.999933947823992
            ],
            [
                0.9999251537905948,
                0.9999962733602723,
                0.9999687980923528,
                0.9999339478396165,
                0.9999967112497585,
                0.9998766053811593,
                0.9999724643154754,
                0.9999546021476384,
                0.999769493232573,
                0.9998911031297203
            ],
            [
                0.9999810748449939,
                0.9999599362887237,
                0.9999974387168733,
                0.9999852610127591,
                0.9999724642990617,
                0.9999930377404315,
                0.9999945777816767,
                0.9999485577802218,
                0.9999957771650453,
                0.999447221389639
            ],
            [
                0.0002959572385352894,
                2.2603240283888175e-06,
                3.7266379513434106e-06,
                0.9999646437366654,
                0.9999599363221485,
                2.7535697653779924e-05,
                0.0008040859881478225,
                0.9999869928761874,
                1.147876402018431e-05,
                0.999933947847516
            ],
            [
                0.9999980052709919,
                0.9999952149032236,
                0.9999967112501505,
                0.9999724643056453,
                0.9999998555020307,
                0.9999995549148951,
                0.9999995549149481,
                0.9999997897566089,
                0.9999998724809571,
                0.9995694428732832
            ],
            [
                0.9999810748472474,
                0.9999910602994371,
                0.9999957771680656,
                0.9999962733607162,
                0.9999930377454107,
                0.9999984465028011,
                0.9999832985701973,
                0.9999982396574163,
                0.9999251537552591,
                0.9999910603015754
            ],
            [
                0.9999995549149481,
                0.9999980052705164,
                0.9999993524051246,
                0.9999994956527722,
                0.9999991684722698,
                0.9999992661791944,
                0.9999990577555185,
                0.9999996072138934,
                0.9999945777797377,
                0.999999266179107
            ],
            [
                0.0009110513755985761,
                6.144175333401224e-06,
                0.7981867729389246,
                6.475947981975644e-07,
                9.610244928336962e-05,
                2.2603237589779086e-06,
                1.8925148231579266e-05,
                0.0001088969221019232,
                6.6052176080539e-05,
                0.00037998457290013086
            ],
            [
                1.6701425823882575e-05,
                3.726638839806038e-06,
                0.00013982205729505754,
                0.989013056114531,
                0.9989677690442744,
                0.0011695101901252002,
                5.82912515827149e-05,
                0.9999417087414205,
                0.9940889312778343,
                3.927861534406222e-07
            ],
            [
                4.539789026561238e-05,
                8.939695237959376e-06,
                1.1478765388105516e-05,
                5.422218969661113e-06,
                0.00043055717511530743,
                4.539786320660675e-05,
                4.222834954514924e-06,
                1.6701415866735174e-05,
                0.0001584362355177502,
                2.1444950943203962e-05
            ],
            [
                0.9902915228380262,
                5.829129327472389e-05,
                0.9995694428586032,
                0.9978172840105324,
                0.00026119030790903,
                0.9988304895055299,
                0.0229773696591339,
                0.9986749774178009,
                0.9968273164623964,
                0.9982992774855872
            ],
            [
                1.892514371900746e-05,
                0.995390427884724,
                0.0005527787271272605,
                0.9953904271112729,
                0.9820137941503273,
                0.00015843625243089628,
                0.6224593312018546,
                3.2887494573232236e-06,
                0.9890130554466133,
                0.9465966739665496
            ],
            [
                1.1478764019328247e-05,
                0.9999930377429205,
                0.9998911031297583,
                6.1441753337365085e-06,
                0.9999251537817851,
                0.00015843615868593993,
                0.9999962733616043,
                0.9999945777810304,
                0.9997694931756702,
                0.00013982210686715055
            ],
            [
                0.977022631929847,
                0.9989677689292729,
                0.9770226288355157,
                0.00023050674264424667,
                0.9978172837032334,
                0.9465966651155708,
                0.9626731123881443,
                5.829125847900465e-05,
                0.9988304897318168,
                1.994729245917502e-06
            ],
            [
                3.2887490653109436e-06,
                0.9996200155697179,
                1.012998977022003e-05,
                0.9986749775153136,
                3.535625907997084e-05,
                0.998830489819666,
                0.9995694428592421,
                0.99908894887082,
                1.994729721482609e-06,
                0.9626731168056251
            ],
            [
                5.1442219765744705e-05,
                0.0001795279011812494,
                0.00023050668666023356,
                6.60521209179157e-05,
                5.422218969384951e-06,
                5.829129323316207e-05,
                4.006369693910372e-05,
                3.2887482811908074e-06,
                2.1444945853375776e-05,
                2.4300246523773334e-05
            ],
            [
                0.9999339478632457,
                0.9986749778653119,
                0.0021827162298302368,
                0.9998601779262325,
                0.9995121428838878,
                0.9998766053813154,
                0.9999646437492968,
                0.9986749774039365,
                0.9999151889283684,
                0.999959936307828
            ],
            [
                0.9999945777784452,
                0.9999957771675632,
                0.9999984465024306,
                0.9999977396746244,
                0.9999993524053563,
                0.9999952149043645,
                0.9999994284996211,
                0.9999994956525317,
                0.9989677689796911,
                0.9999994284993485
            ],
            [
                6.962254589617333e-06,
                4.006368735141308e-05,
                0.9975273768600194,
                0.9149009474519223,
                0.8807970842359877,
                0.7981867849406659,
                1.6701415863393463e-05,
                4.222832940777184e-06,
                3.120192250564146e-05,
                0.004609571117481709
            ],
            [
                0.9999982396567868,
                0.9999910603004999,
                0.9999997300420937,
                0.9999994284995529,
                0.9999987901337397,
                0.9999997617630049,
                0.9999994284992805,
                0.9999996533673788,
                0.9999930377404314,
                0.9999998362623137
            ],
            [
                0.9998204720339182,
                0.9999957771680663,
                0.9999646437577306,
                0.9999938558254027,
                0.9999251537461092,
                0.9995121428859314,
                0.9999810748517628,
                0.9997388096297813,
                0.0031726833976962556,
                0.999992110737415
            ],
            [
                0.9820137895115189,
                2.144495862967221e-05,
                0.9998911030388833,
                0.9999485577924913,
                0.9999852610180312,
                0.0011695104963739941,
                0.9999038975965423,
                0.9999485577618628,
                0.9999251537371064,
                0.9998415638400048
            ],
            [
                0.99997246431876,
                0.9999832985721857,
                0.9999599363031271,
                0.9999832985721839,
                0.9999885212346115,
                0.9999982396567867,
                0.9988304896106499,
                0.999933947871098,
                0.9999930377462405,
                0.9999724643122014
            ],
            [
                0.9999038975850683,
                0.00023050671198617334,
                0.999933947855328,
                0.9890130551227744,
                0.9999417087205841,
                0.999981074854025,
                0.9997965730507836,
                0.9999810748495034,
                0.9999485577619253,
                0.9998601779260005
            ],
            [
                0.9999991684720715,
                0.9999938558268632,
                0.9999885212318752,
                0.9999993524049703,
                0.9999785550464778,
                0.9999986290421395,
                0.9999996533672549,
                0.9999980052709919,
                0.9999994956527721,
                0.9999724643023361
            ],
            [
                0.0006263341465596483,
                0.999820472055645,
                0.9975273770363229,
                0.9997965730513342,
                0.9997694933408589,
                0.9859363746484322,
                0.999903897573855,
                0.9998911030519014,
                0.9999151889384845,
                0.9998601778592866
            ],
            [
                0.9999852610127582,
                0.9986749775160838,
                0.9999832985721857,
                0.9999921107355341,
                0.9995121429428112,
                0.9999952149037947,
                0.9999898700053986,
                0.9999756997476837,
                0.999997097686977,
                0.9999832985781563
            ],
            [
                0.9999910603058302,
                0.9999785550464871,
                0.9999599362887345,
                0.9989677691979301,
                0.9999756997650627,
                0.9998911030778569,
                0.9999898700090206,
                0.9999417087136733,
                0.9998911031039645,
                0.9999869928684375
            ],
            [
                0.9999921107402366,
                0.9999945777790928,
                0.9999898700078136,
                0.9999921107383576,
                0.9999546021151215,
                0.9999984465020604,
                0.9999970976876692,
                0.9999977396746244,
                0.999996273358939,
                0.9999756997505803
            ],
            [
                0.9995121429470971,
                0.00023050665800758468,
                0.9999251537995856,
                0.9997694932303262,
                0.999964643757755,
                0.00015843621529205493,
                0.987568351216358,
                3.12019224737456e-05,
                0.9992903296243045,
                0.13296422989056966
            ],
            [
                0.9999756997650677,
                0.9999339478789758,
                0.9999756997592687,
                0.999975699762166,
                0.9999930377429205,
                0.9999785550515873,
                0.9998911031037133,
                0.9999898700090211,
                0.9999646437409081,
                0.9999921107402364
            ],
            [
                0.9999599362982811,
                1.3007123812554424e-05,
                2.9023130229209922e-06,
                0.0005527786568295042,
                0.9999898700090223,
                0.9999938558275955,
                7.88926540679677e-06,
                5.1442195212374294e-05,
                0.000709670264985329,
                0.999738809660902
            ],
            [
                0.9999785550592877,
                0.9999485577925247,
                0.9999832985821381,
                0.00023050668559380764,
                0.9998415637832303,
                0.999891103051739,
                0.00017952802957705178,
                5.422217030555087e-06,
                0.999988521234612,
                5.829125152630961e-05
            ],
            [
                0.9998204720131032,
                0.9999485577618125,
                0.9999957771645419,
                0.9875683463340634,
                0.999996711249759,
                0.9999687980737689,
                0.9999724643056286,
                0.9999832985721853,
                0.9999962733598275,
                0.9999785550490384
            ],
            [
                0.9999957771670592,
                0.9999938558239339,
                0.9999996533672549,
                0.9999986290431201,
                0.9999852610180342,
                0.999999266179107,
                0.9999996533672136,
                0.9999952149043645,
                0.9999977396754327,
                0.9999952149066461
            ],
            [
                0.966914018751051,
                3.120190389560577e-05,
                0.9770226325152608,
                3.1201922511884416e-05,
                0.04208772626352764,
                8.481108155405963e-05,
                0.9971990724469452,
                0.007577242899649538,
                0.0031726822445656885,
                0.9399133502467731
            ],
            [
                0.9626731150654054,
                0.9992903297384821,
                0.0004305571833821162,
                0.0004878572241669536,
                0.9994472212579836,
                0.9993736658264423,
                0.0007096704277894511,
                0.00010889696092818032,
                0.0015011820333792252,
                0.999290329709009
            ],
            [
                0.9999339478474694,
                0.9999785550464837,
                0.9999898700102285,
                0.9999687980849105,
                0.999989870007814,
                0.9999785550464765,
                0.9999785550567023,
                0.9997388096283755,
                0.9997040429415797,
                0.9924227599437246
            ],
            [
                6.962253759157502e-06,
                0.9994472212578227,
                0.9999687980812089,
                4.0063711244273545e-05,
                7.484622710602007e-05,
                0.9999957771680658,
                0.9996200154392932,
                0.998674977348479,
                0.9964063971476294,
                0.9997040429738621
            ],
            [
                0.999998790134028,
                0.9999990577554061,
                0.9999962733598279,
                0.9999869928684425,
                0.9999980052705163,
                0.9465966728366374,
                0.9999962733589389,
                0.9999810748472526,
                0.99999862904312,
                0.9999957771670608
            ],
            [
                0.00023050679451012358,
                0.9971990736058065,
                0.9995694429683765,
                4.0063677800452475e-05,
                0.9968273166221853,
                6.962255418367598e-06,
                0.9999646437324302,
                0.2018132126589859,
                0.0031726835258219,
                0.000335350103840444
            ],
            [
                0.9999339478553727,
                0.9992903295468653,
                0.9993736659095497,
                8.481104098931598e-05,
                0.9999724643089085,
                0.9999930377462402,
                0.9999930377454105,
                0.9890130557198523,
                0.0002611904000624381,
                0.9999938558253981
            ],
            [
                1.8925143726890553e-05,
                0.001501182262844431,
                0.00023050668095250755,
                1.9947294837154625e-06,
                0.9875683485293811,
                8.93969950000193e-06,
                1.760344052714248e-06,
                0.9796676480672146,
                0.6513548646660542,
                1.1478768124553928e-05
            ],
            [
                0.9998415638210723,
                0.999876605469714,
                0.003172682092876769,
                0.0031726834330412603,
                0.9999785550464785,
                0.9998204719695766,
                0.9989677690391127,
                0.999769493367164,
                0.9993736658214143,
                0.9947798731070533
            ],
            [
                0.9999151889182516,
                0.9999869928746413,
                0.9999810748495118,
                0.999569442878143,
                0.9997388095670386,
                0.00012339457385328963,
                0.9992903294511394,
                0.9997388096288542,
                0.9998415637076041,
                0.9999945777829703
            ],
            [
                0.9999930377429205,
                0.9998415638212037,
                0.9999485577618527,
                0.9980732649789293,
                0.9999756997650677,
                0.9999967112521109,
                0.9998601778595592,
                0.9999724643089007,
                0.9999646437408591,
                0.9999810748495098
            ],
            [
                0.9999485577679615,
                0.9999485577740787,
                0.9989677687924233,
                0.9706877711035696,
                0.9999251537370755,
                0.9998766054547225,
                0.9999485577618208,
                0.9999251537549417,
                0.9999417087483918,
                0.9999832985741741
            ],
            [
                0.9998415638211505,
                0.9986749774352084,
                0.966914024948248,
                0.9995121429409095,
                0.999860177926084,
                0.0002305066868882743,
                0.9982992776891703,
                0.9999546021369274,
                0.9999038975507579,
                0.9999251537549292
            ],
            [
                0.9998415637268824,
                0.9999997300421581,
                0.999998629042303,
                0.9999974387184004,
                0.9998601779447372,
                0.9999995549150542,
                0.9999962733616045,
                0.9999994284993485,
                0.9999996072139403,
                0.9999980052707543
            ],
            [
                0.9999038976193814,
                0.9999921107345929,
                0.9999599363126013,
                0.9999938558232008,
                0.9999151889182207,
                0.9999930377437514,
                0.9978172832199728,
                0.9999898700126437,
                0.9998415638221442,
                0.9998766054251126
            ],
            [
                4.539786858616951e-05,
                2.144494073483943e-05,
                0.9999724643023419,
                0.9971990729899582,
                0.999975699762166,
                5.8291244625779683e-05,
                0.9999921107336629,
                1.0129987355785634e-05,
                0.9626731098447463,
                0.0004305571289213847
            ],
            [
                0.9940889298522294,
                0.9995121429447696,
                0.9998766054546381,
                0.9996200154268787,
                0.00857748568298809,
                0.020332353899187763,
                0.00013982210689156329,
                0.00591106920375205,
                0.9986749773729727,
                0.0009110511723601978
            ],
            [
                0.9999992661787571,
                0.9999987901341723,
                0.9999994284992805,
                0.9999974387180947,
                0.9999898700053986,
                0.9959298622388016,
                0.9999989322970028,
                0.9999992661788445,
                0.0028009274750170556,
                0.9999898700066052
            ],
            [
                0.9999810748427385,
                0.9999962733593839,
                0.9999986290421395,
                0.9998766054251287,
                0.9999417087206875,
                0.9999970976876694,
                0.9999832985761679,
                0.9986749773566436,
                0.9999810748427408,
                0.9999962733620492
            ],
            [
                0.9999852610215446,
                0.9999832985721839,
                0.9999546021313669,
                0.9959298614497883,
                0.9999980052702786,
                0.9999898700102303,
                0.9999687980849072,
                0.9999852610127591,
                0.9997040429019436,
                0.0005527786566687133
            ],
            [
                0.9999977396748939,
                0.9999339478318396,
                0.9999724642957795,
                0.9999957771670592,
                0.00023050668490968537,
                0.9999832985781628,
                0.9999832985721839,
                0.9999952149032239,
                0.9579122744874229,
                0.9999967112501523
            ],
            [
                0.0004878571038506931,
                0.9940889304788388,
                0.9959298628050791,
                0.9241418241572635,
                0.00015843615881503027,
                0.9995694428584153,
                0.9840936085214388,
                0.9992903296230663,
                0.9997388095980908,
                0.0017007221890752043
            ],
            [
                0.004070138504909415,
                0.957912274787803,
                0.9999251537817503,
                0.999447221386777,
                0.9999599362982855,
                0.9999599363126486,
                0.9994472214621235,
                0.9997388095668258,
                0.9980732656541191,
                0.999975699756396
            ],
            [
                0.9999993524052018,
                0.9999967112505427,
                0.999999352405279,
                0.9999938558224687,
                0.9999977396746244,
                0.9999991684721706,
                0.9998911030522135,
                0.9999991684718732,
                0.9999993524050474,
                0.9999993524051246
            ],
            [
                0.9999991684719723,
                0.9999996940978461,
                0.9999996072138465,
                0.9999921107374145,
                0.9999994956525918,
                0.9999996533672136,
                0.9999984465024307,
                0.9999995549150542,
                0.9999993524053562,
                0.9999990577552937
            ],
            [
                0.00010889696068733835,
                5.422221554926484e-06,
                0.9999785550413632,
                0.005220124513515329,
                0.9999962733602719,
                0.9999485577802278,
                0.9999930377462406,
                0.9999930377462404,
                1.0129994602222992e-05,
                0.9999151889788488
            ],
            [
                0.9999756997679594,
                0.9999962733589395,
                0.9999869928746399,
                0.9999992661791944,
                0.999998239656367,
                0.9999938558253988,
                0.9999989322967482,
                0.99999862904312,
                0.999997438717484,
                0.9999970976887071
            ],
            [
                0.9999724643023561,
                0.9997388097882266,
                0.9996646498106129,
                0.9995694429619885,
                0.9978172830855928,
                0.9982992772748887,
                0.00020342704513272392,
                0.9999756997679602,
                0.9997388095978097,
                0.9933071503140121
            ],
            [
                3.120191508321514e-05,
                0.9999938558253983,
                0.9986749778388154,
                0.9890130557097324,
                0.0006263341694041499,
                4.5397884797196873e-05,
                0.9999785550541518,
                0.9999869928668857,
                0.9998911030777318,
                0.9990889487831881
            ],
            [
                0.0021827164717140696,
                0.00026119033873322426,
                0.9324533032291502,
                2.7535697629338066e-05,
                0.991422513825979,
                0.9986749778885731,
                0.00020342699575391393,
                4.006368259662828e-05,
                1.3007125362820425e-05,
                3.1201922530272776e-05
            ],
            [
                0.9997388096606815,
                0.9999599362983426,
                0.9998766053957648,
                0.9998601778927992,
                0.9978172831489796,
                0.9999485577863757,
                0.9999852610215424,
                0.9992903294613766,
                0.9997388095727764,
                0.9940889316472327
            ],
            [
                0.9525741221101401,
                0.990291523205138,
                0.9959298632222368,
                0.9984988175326436,
                0.9740426457220511,
                0.9995121429424423,
                0.0013250225265876165,
                0.0010322310650850782,
                0.9859363747646543,
                0.9994472214582324
            ],
            [
                0.9999417087414357,
                0.9999869928684351,
                0.9999952149055054,
                0.9924227586761121,
                0.003172682414663466,
                0.9999952149066462,
                0.9999970976890529,
                0.9999756997679652,
                0.9999967112505427,
                0.9999952149037942
            ],
            [
                3.1201900203407254e-05,
                6.605217610793098e-05,
                0.9840936091920427,
                0.9982992778980899,
                0.9968273171707692,
                0.9968273168430916,
                0.00013982209045161867,
                8.939699500636112e-06,
                5.422217676397663e-06,
                0.9933071496484276
            ],
            [
                0.9978172834811262,
                0.9914225139843768,
                0.9982992774855872,
                3.120190763922401e-05,
                0.8933094138654242,
                0.9991959139536281,
                0.962673111451103,
                5.8291258534985854e-05,
                0.9740426398352605,
                4.539787403691212e-05
            ],
            [
                0.9999992661791945,
                0.9999992661792819,
                0.9999957771650453,
                0.999999554914895,
                0.9999991684720715,
                0.9999977396759716,
                0.9999910603058286,
                0.9999991684716752,
                0.9999977396751634,
                0.9999989322971301
            ],
            [
                0.9997694931767165,
                0.9999151889692287,
                0.9999910603036961,
                0.9999957771675627,
                0.9999869928684356,
                0.9999852610145146,
                0.999981074845,
                0.9988304896303685,
                0.9999687980886276,
                0.9999599362887481
            ],
            [
                0.999998629042303,
                0.9999957771660521,
                0.9997694932857603,
                0.9999962733616046,
                0.0017007227595029972,
                7.484626266975413e-05,
                0.9999990577552937,
                0.9999785550567011,
                0.999903897607966,
                0.999991060303696
            ],
            [
                0.9999990577551814,
                0.9999967112497585,
                0.9999994956527722,
                0.9999992661791944,
                0.9999996533672136,
                0.9999945777784447,
                0.9999996940977366,
                0.9999990577551814,
                0.9999986290423029,
                0.9999986290424663
            ],
            [
                0.9998911031038282,
                0.9999339478711452,
                0.9997965730511625,
                0.9149009636941993,
                0.9924227599822432,
                0.999088948873628,
                0.00013982214002779226,
                0.0011695104591128132,
                0.992422759723118,
                0.9999151889890027
            ],
            [
                0.9999921107392973,
                0.9999546021367807,
                0.9933071504192673,
                0.9989677690778866,
                0.9999151889182682,
                0.9984988178151563,
                0.977022629295484,
                0.9997965730270946,
                0.9975273771770213,
                0.987568349181116
            ],
            [
                0.99995993630783,
                0.9989677689690073,
                0.9990889486632901,
                0.999964643736649,
                0.9990889489869031,
                0.999876605410471,
                0.9998766053664029,
                0.9999646437408576,
                0.9999251537461773,
                0.9998601779428737
            ],
            [
                0.9999810748427396,
                0.9999945777784451,
                0.9953904267907822,
                0.9999852610127611,
                0.9999485577925075,
                0.999975699767961,
                0.9986749776305418,
                0.9990889490095265,
                0.9990889490074072,
                0.9999938558224686
            ],
            [
                0.9933071491438215,
                0.0004878570417767104,
                0.9840936081424019,
                0.9999832985781646,
                0.9875683490553426,
                0.9978172836712864,
                0.9999251537730384,
                0.9999832985721836,
                0.9995694429631032,
                0.9999151889284795
            ],
            [
                0.9995121428896212,
                0.3208212878370535,
                0.9999687980812043,
                0.9999930377454107,
                0.9999962733602719,
                0.9999957771645421,
                0.9999151889687629,
                0.9999980052709919,
                0.999997097688707,
                0.9999724643089085
            ],
            [
                9.422450431912e-07,
                1.7603432133032607e-06,
                1.8925152749659986e-05,
                6.144173869379821e-06,
                1.7603434231705793e-06,
                0.9820137891496259,
                6.144173869446876e-06,
                2.2603251062013478e-06,
                1.0129992186774007e-05,
                6.475946437966953e-07
            ],
            [
                0.9999977396751633,
                0.9999852610127603,
                0.9999977396748938,
                0.999998446502801,
                0.9999687980886414,
                0.9525741286736911,
                0.9999785550490391,
                0.9999599363078162,
                0.9998601778759504,
                0.9998911030778062
            ],
            [
                0.9999898700114356,
                0.9997965730266685,
                0.9999852610180293,
                0.9999869928730912,
                0.9999038975851193,
                7.484620022548975e-05,
                0.9999599363078342,
                0.9997040429356038,
                0.9999921107355335,
                0.9999724642990546
            ],
            [
                0.00033535014794072883,
                0.9999417087484788,
                0.9999546021368871,
                0.9999151889487143,
                0.9999785550413627,
                0.9999970976880149,
                0.9999945777790913,
                0.9999599362887106,
                0.9999546021259605,
                0.999996273358939
            ],
            [
                0.0009110513173715178,
                4.5397857784436206e-05,
                0.9999687980886505,
                2.144494584573034e-05,
                0.999994577780384,
                0.9999832985801492,
                1.8925157263094544e-05,
                0.9999485577925504,
                0.9999756997621654,
                0.999996273360716
            ],
            [
                0.9999038976080269,
                0.9986749776983233,
                0.999954602136796,
                0.999948557792504,
                0.9998911030522754,
                0.9999852610110059,
                0.9988304899071074,
                0.999841563783749,
                0.9999646437408679,
                0.9740426443092215
            ]
        ]
    },
    {
        "q_id": "10418_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                6.605213665099396e-05,
                3.12019261530068e-05,
                4.0063706458587944e-05,
                5.829129308260648e-05,
                8.939693106020111e-06,
                1.0129990977759901e-05,
                4.539785775107612e-05,
                0.020332353453964554,
                3.1201907610960436e-05,
                4.5397884837823535e-05
            ],
            [
                2.1444953481409255e-05,
                0.0002959569870701134,
                0.9989677690176249,
                5.144222578067288e-05,
                0.0059110692885769025,
                0.9933071481562795,
                0.9975273765246404,
                0.03732688560390975,
                0.010986942023395294,
                5.8291244547321203e-05
            ],
            [
                0.00012339461456591842,
                0.0001088969192577705,
                NaN,
                5.144220741701067e-05,
                0.9999756997566613,
                0.9997040429108903,
                0.9998415637312714,
                0.999933947832459,
                0.9999832985801602,
                1.8925154999337424e-05
            ],
            [
                5.829127932267533e-05,
                0.01590638937927973,
                7.484626261802305e-05,
                0.00015843629113727295,
                0.0001795279843396969,
                9.610241342293935e-05,
                0.00010889688253730961,
                0.05340332829327471,
                NaN,
                0.00017952799300633633
            ],
            [
                0.00010889688262287185,
                5.144222577580734e-05,
                7.889262576544182e-06,
                1.3007123809644304e-05,
                5.144223793666109e-05,
                2.4300234920177672e-05,
                2.4300240712250633e-05,
                2.7535697638353506e-05,
                2.1444958625381407e-05,
                0.0005527785129860443
            ],
            [
                3.7266401100482695e-06,
                0.9997965730766392,
                3.120192245127094e-05,
                1.670142182676898e-05,
                2.1444940709796752e-05,
                1.473898899742027e-05,
                4.5397884790260616e-05,
                0.9997694932160938,
                0.9999038976200365,
                4.5397879071810136e-05
            ],
            [
                0.0015011823977315987,
                1.8925145933709052e-05,
                1.89251437091622e-05,
                4.5397857790051276e-05,
                1.8925148224556773e-05,
                8.481101047352518e-05,
                7.484621804982218e-05,
                0.025957357480362795,
                1.4738987227097461e-05,
                2.144494327998681e-05
            ],
            [
                3.535624643706554e-05,
                5.8291293171243434e-05,
                7.48462449330816e-05,
                7.484626255376766e-05,
                2.7535684514885004e-05,
                0.000804085936985459,
                2.902313022659669e-06,
                3.1201926235527406e-05,
                2.7535700908352998e-05,
                0.08509904558710157
            ],
            [
                5.144221346936461e-05,
                0.00010889690845791327,
                8.48110408794848e-05,
                2.1444956065331412e-05,
                0.006692849791243149,
                4.5397879236959165e-05,
                5.144219515810486e-05,
                4.0063706346364244e-05,
                0.0002611903376008758,
                0.0001795280295039156
            ],
            [
                4.785096204285318e-06,
                7.889266342226149e-06,
                1.0129994596455602e-05,
                4.006367764129896e-05,
                4.00636873566599e-05,
                2.4300243584153988e-05,
                6.1441724013465395e-06,
                7.889265405146477e-06,
                5.144223794751499e-05,
                1.473898195905257e-05
            ],
            [
                0.00010889690891266076,
                5.144223802461508e-05,
                1.300712844589225e-05,
                1.8925150483734688e-05,
                3.120191878131786e-05,
                8.939698431682001e-06,
                4.0063711214250056e-05,
                3.5356242267696286e-05,
                6.144173868781898e-06,
                0.0001088968956679429
            ],
            [
                5.8291272364888606e-05,
                5.1442225828205446e-05,
                0.00012339457467379009,
                0.008577483417901103,
                2.7535684505068197e-05,
                7.484623561332549e-05,
                3.5356259106723956e-05,
                9.610244890302106e-05,
                8.481108037059706e-05,
                5.8291286041694476e-05
            ],
            [
                0.00010889688239470591,
                0.0017007223074695915,
                4.006368255290478e-05,
                3.53562591107112e-05,
                0.00010889688232181957,
                0.9998204720162193,
                3.120191506868607e-05,
                2.7535687785784475e-05,
                1.8925152711931282e-05,
                0.9940889311711191
            ],
            [
                1.0129990974903845e-05,
                0.9990889487790025,
                3.12019075573845e-05,
                7.889265402907818e-06,
                1.3007125359413455e-05,
                2.7535684501962883e-05,
                4.006370168019018e-05,
                1.892515274194901e-05,
                1.6701417854810315e-05,
                2.7535694353228506e-05
            ],
            [
                7.484624472234563e-05,
                2.7535700906750255e-05,
                0.9997694931780244,
                6.605212085976786e-05,
                7.484620003326818e-05,
                0.9999417087417835,
                5.829127931249693e-05,
                0.0001398221221820766,
                2.7535700894529325e-05,
                3.1201903900940664e-05
            ],
            [
                NaN,
                0.9999724643155011,
                0.0002611903037976178,
                0.0003799844723566987,
                0.9999785550541962,
                6.605216796482381e-05,
                0.9999646437494322,
                0.9999646437493283,
                0.00023050673352261426,
                NaN
            ],
            [
                2.430024941371131e-05,
                1.89251482270353e-05,
                2.7535700904947163e-05,
                1.6701425805958843e-05,
                2.1444950959977102e-05,
                1.670142980222277e-05,
                0.9740426407300529,
                8.939699498587217e-06,
                2.1444950938445074e-05,
                2.7535702697617067e-05
            ],
            [
                0.9997388097634822,
                1.0129993385303772e-05,
                4.0063682507140856e-05,
                1.3007125344271362e-05,
                1.1478764017720528e-05,
                1.8925145977014425e-05,
                1.8925143707303306e-05,
                2.430024360881804e-05,
                1.8925145964139856e-05,
                1.4738988992031526e-05
            ],
            [
                0.0009110512403888887,
                5.829124442390814e-05,
                4.006369209745375e-05,
                1.3007131559816827e-05,
                4.539786306821192e-05,
                2.4300246489738706e-05,
                4.0063677818524845e-05,
                0.09534946297109421,
                5.144221342220632e-05,
                0.0003799845193064432
            ],
            [
                3.535625067177463e-05,
                3.1201926224857616e-05,
                1.4738988990959142e-05,
                3.120191135412508e-05,
                5.8291265170878976e-05,
                2.1444953509026425e-05,
                7.484626242634588e-05,
                4.5397873994468824e-05,
                2.430024071781994e-05,
                5.829125846925035e-05
            ],
            [
                0.9990889485986523,
                6.9622562481627565e-06,
                1.3007125345643615e-05,
                1.892515725376564e-05,
                2.753570415911994e-05,
                2.144494072867628e-05,
                3.535623792520406e-05,
                0.9999646437454979,
                4.006368253745581e-05,
                6.605217548560437e-05
            ],
            [
                5.829127231654119e-05,
                0.9998911031186621,
                1.8925148208584036e-05,
                0.9998911030455254,
                1.30071315602427e-05,
                1.3007126905042372e-05,
                3.120191872728787e-05,
                2.7535687683709727e-05,
                0.00010889687587771668,
                1.8925157257965367e-05
            ],
            [
                1.8925141432566558e-05,
                3.1201907541266314e-05,
                1.3007130006048483e-05,
                2.7535700919171523e-05,
                2.4300237809495462e-05,
                1.3007131561804229e-05,
                1.6701415856588526e-05,
                1.3007128461507534e-05,
                8.939693105467234e-06,
                1.4738976689561836e-05
            ],
            [
                4.539785776395774e-05,
                0.9999151889906729,
                8.481103938997632e-05,
                4.00637063504451e-05,
                7.484625377419046e-05,
                5.144223797446259e-05,
                9.610240296895177e-05,
                0.9998911030794587,
                3.120192238861431e-05,
                0.9998601779632056
            ],
            [
                4.006367769464163e-05,
                1.8925145957048516e-05,
                2.753568778728705e-05,
                1.0129989761357048e-05,
                2.7535691079423274e-05,
                0.9978172834055692,
                NaN,
                2.4300237801450912e-05,
                6.962258737472841e-06,
                3.535626329667452e-05
            ],
            [
                0.00012339461848169986,
                8.9397005654763e-06,
                1.0129987355785634e-05,
                1.3007131562514014e-05,
                0.00013982202336340025,
                7.48462449330816e-05,
                2.753568451218037e-05,
                1.3007123811229494e-05,
                2.7535681204818868e-05,
                3.535624221033144e-05
            ],
            [
                4.539785235268768e-05,
                1.8925141461620395e-05,
                3.5356238024242e-05,
                3.5356238024242e-05,
                2.7535687788789623e-05,
                8.939698430218506e-06,
                0.00012339463260795867,
                2.1444953513707305e-05,
                4.006368731264491e-05,
                5.829126545120912e-05
            ],
            [
                4.0063687289325704e-05,
                1.3007130008887624e-05,
                3.120191504371423e-05,
                3.5356259091803945e-05,
                0.9999952149072658,
                8.481106108349144e-05,
                7.889261642134126e-06,
                0.9980732655659146,
                0.9999687980889693,
                1.670142582102693e-05
            ],
            [
                6.605213638524382e-05,
                1.8925150474922147e-05,
                5.829128617783064e-05,
                9.610244818007913e-05,
                6.144173868178388e-06,
                2.4300232027942982e-05,
                2.7535681215036362e-05,
                8.481102013126335e-05,
                3.120191133766637e-05,
                3.535625063370289e-05
            ],
            [
                5.144221971634078e-05,
                0.014063625687320568,
                9.610238047666152e-05,
                1.8925154987702108e-05,
                0.0035936020070049474,
                0.0005527786159886344,
                0.00017952790092527285,
                0.9740426404474868,
                0.003593602652284083,
                0.0013250224219886653
            ],
            [
                0.012431651550656482,
                3.1201900162771276e-05,
                1.1478768120315386e-05,
                1.3007123806876143e-05,
                7.889264465699106e-06,
                7.889264465067689e-06,
                5.1442213588757405e-05,
                0.002472622696063103,
                0.0066928493516477845,
                4.539787936115123e-05
            ],
            [
                0.00010889688295561384,
                0.004609572286204453,
                0.00033535001929865295,
                7.889262583633267e-06,
                0.9669140207770578,
                4.539786848344684e-05,
                3.53562675293277e-05,
                6.144173136131494e-06,
                3.535626750128837e-05,
                5.829128634789482e-05
            ],
            [
                8.48110310785935e-05,
                7.889261639780667e-06,
                0.00015843623397097082,
                0.9994472213999618,
                1.3007125359034903e-05,
                5.144223812641715e-05,
                9.610243735692595e-05,
                0.9890130596059189,
                8.481105089263529e-05,
                0.9994472212587553
            ],
            [
                3.535625909386188e-05,
                2.1444950922218033e-05,
                1.0129993389283824e-05,
                4.006368255873459e-05,
                8.481105084450702e-05,
                0.06754669301670266,
                3.120191134288775e-05,
                4.006370643293681e-05,
                4.006371123377989e-05,
                0.0028009273800710457
            ],
            [
                1.892515499389843e-05,
                2.1444950938445074e-05,
                8.93969736547614e-06,
                1.3007129999045263e-05,
                1.4738976696371488e-05,
                1.6701419820101295e-05,
                6.144176796042727e-06,
                4.2228349527213495e-06,
                1.8925145967719952e-05,
                0.9993736658950851
            ],
            [
                2.7535681224252135e-05,
                1.4738985479214553e-05,
                4.0063706430021914e-05,
                2.144494583831896e-05,
                3.5356267531385634e-05,
                5.144221345925926e-05,
                5.829125831911895e-05,
                4.0063677654124525e-05,
                NaN,
                6.605215995002744e-05
            ],
            [
                7.889264465067689e-06,
                0.9968273164292605,
                8.4811010023094e-05,
                2.144494583831896e-05,
                1.4738987240100149e-05,
                1.3007125360146898e-05,
                1.8925154997134284e-05,
                8.481108090494461e-05,
                2.144494327788042e-05,
                2.4300249386306803e-05
            ],
            [
                3.120191880118183e-05,
                3.120192622803585e-05,
                0.03732688680867724,
                2.144495862623957e-05,
                3.5356267545276676e-05,
                4.5397857693934585e-05,
                4.5397852355660356e-05,
                1.3007128457485415e-05,
                2.1444943287710254e-05,
                6.962258738827909e-06
            ],
            [
                9.61024376337973e-05,
                4.006367776838858e-05,
                2.144495350387746e-05,
                8.939698430836427e-06,
                2.430024360519357e-05,
                0.9940889310862943,
                2.753568121974442e-05,
                0.005911068716693243,
                0.0011695102903495967,
                1.6701421825128502e-05
            ],
            [
                4.539785760739654e-05,
                3.535626330593522e-05,
                0.0007096704339400133,
                5.422220906716348e-06,
                2.430023781444595e-05,
                5.8291251371513124e-05,
                8.93970056529743e-06,
                0.0004878571429910822,
                1.0129987353242826e-05,
                8.939699497855469e-06
            ],
            [
                0.00013982214023936936,
                3.535623803067304e-05,
                0.014063625674406999,
                3.120191501306697e-05,
                2.4300243582562758e-05,
                4.006370643585172e-05,
                3.12019076363863e-05,
                4.5397873946245314e-05,
                6.605217602094941e-05,
                5.8291286290217195e-05
            ],
            [
                0.9997694933726505,
                9.610244850589243e-05,
                0.9994472212888231,
                0.022977369491872766,
                0.9968273169719536,
                0.9947798747562122,
                0.00026119031969609204,
                0.9998601778986866,
                0.9997694931754488,
                0.0001233946323566017
            ],
            [
                4.0063696902084474e-05,
                3.535624222962456e-05,
                3.5356267498715946e-05,
                2.4300234909039074e-05,
                1.3007131558444574e-05,
                2.1444940734059286e-05,
                1.0129987354366822e-05,
                1.670142580419685e-05,
                4.0063696902084474e-05,
                2.4300243615448162e-05
            ],
            [
                4.785093921819153e-06,
                1.1478772221888615e-05,
                3.5356254847833156e-05,
                1.670141785651155e-05,
                2.1444958624445232e-05,
                4.5397879346287815e-05,
                7.484620856725283e-05,
                0.00012339452930209795,
                1.4738985470206506e-05,
                1.4738980201465192e-05
            ],
            [
                4.0063706492255065e-05,
                1.1478766753082876e-05,
                6.144173868882483e-06,
                7.48462002744981e-05,
                5.829125846925035e-05,
                0.00023050667924220193,
                2.4300246489738706e-05,
                1.67014218283487e-05,
                8.9396973679153e-06,
                1.473898898859989e-05
            ],
            [
                5.422217012387621e-06,
                0.0003353502611477478,
                1.6701419845680582e-05,
                3.120191878131786e-05,
                1.8925143697939984e-05,
                1.300712845923622e-05,
                0.0010322311408325114,
                NaN,
                2.4300246512104316e-05,
                2.4300240714549077e-05
            ],
            [
                3.1201914979468495e-05,
                0.9940889308318196,
                5.829125817153215e-05,
                NaN,
                0.9998766054407237,
                0.00010889692045247307,
                0.99979657305559,
                2.7535694357535878e-05,
                8.481107132371116e-05,
                0.9999038975632052
            ],
            [
                6.60521680181661e-05,
                2.4300252256885154e-05,
                0.9998204719662463,
                0.9999485577988917,
                0.9999339478794117,
                4.5397879283861487e-05,
                0.9999687980887261,
                5.8291279108504756e-05,
                0.9999810748541065,
                4.006371089740022e-05
            ],
            [
                2.7535704202894907e-05,
                1.8925143715978147e-05,
                0.9964063971567999,
                5.422220261652556e-06,
                2.144494328404357e-05,
                2.7535694276396952e-05,
                2.1444950942033742e-05,
                1.670142780084011e-05,
                2.753569752716311e-05,
                1.6701415866188347e-05
            ],
            [
                3.535624646356141e-05,
                4.5397857734561226e-05,
                5.1442219708855337e-05,
                6.144172403715875e-06,
                8.481103093297462e-05,
                0.00033535017331790874,
                0.9706877690366522,
                1.89251527491092e-05,
                5.8291257685513554e-05,
                0.0031726823432371254
            ],
            [
                1.892515274546026e-05,
                8.939698433974813e-06,
                2.7535681213433616e-05,
                4.539785774116719e-05,
                4.006370642360913e-05,
                1.3007128458384476e-05,
                1.892515499864894e-05,
                2.4300232031037035e-05,
                3.5356250660713247e-05,
                1.670142979997471e-05
            ],
            [
                2.7535681231364308e-05,
                1.0129994600159262e-05,
                4.5397884803802836e-05,
                9.610238015504348e-05,
                2.43002522752727e-05,
                0.0001233946033069254,
                6.144173866177863e-06,
                2.7535687798506256e-05,
                2.1444958633416914e-05,
                2.1444945842219688e-05
            ],
            [
                3.726640615664282e-06,
                1.0129989768616954e-05,
                1.6701415829490285e-05,
                2.430023200831783e-05,
                1.4738983721733992e-05,
                1.6701421834059987e-05,
                1.8925150485318196e-05,
                0.9999151889804598,
                8.939700559475965e-06,
                0.9914225135804625
            ],
            [
                1.8925154997891613e-05,
                1.8925152738024674e-05,
                0.9947798742121349,
                1.0129988552896015e-05,
                3.12019225022362e-05,
                1.8925152742706337e-05,
                4.5397878968757146e-05,
                1.3007125345643615e-05,
                1.670141785596473e-05,
                3.535623797999648e-05
            ],
            [
                3.535624631873447e-05,
                1.473898372275276e-05,
                1.6701415864001047e-05,
                6.962257904131415e-06,
                1.1478772214998373e-05,
                5.144221927469963e-05,
                6.144176798132662e-06,
                1.8925153607368408e-05,
                1.0129987353537646e-05,
                1.3007123803043302e-05
            ],
            [
                6.96225458885115e-06,
                7.889259761030436e-06,
                0.00010889687928436065,
                1.892515046211642e-05,
                2.430023780003649e-05,
                1.0129988557686814e-05,
                2.1444956070012293e-05,
                7.484620007247484e-05,
                1.1478769469800468e-05,
                1.6701425816409292e-05
            ],
            [
                9.610243739747781e-05,
                1.6701423823533284e-05,
                0.047425868465274176,
                4.0063696876141854e-05,
                0.00012339452962706628,
                4.006371120842025e-05,
                0.00013982205568178292,
                8.481105100987086e-05,
                1.892515498859713e-05,
                0.0001088968826735754
            ],
            [
                1.1478764019077695e-05,
                0.0024726233949605484,
                5.144220743759563e-05,
                6.605217604545803e-05,
                1.4738987238035806e-05,
                1.4738983726559732e-05,
                2.1444950957402623e-05,
                1.670141586084161e-05,
                0.00043055702480972034,
                2.75357041631268e-05
            ],
            [
                1.0129990976156825e-05,
                1.147876538330323e-05,
                0.999447221331272,
                3.120191871207775e-05,
                1.6701429761393103e-05,
                1.8925148232956223e-05,
                1.4738987237553233e-05,
                1.4738983721251418e-05,
                7.889266345397582e-06,
                7.889263525534328e-06
            ],
            [
                0.00013982210509315817,
                8.481102072978154e-05,
                2.1444958581693216e-05,
                0.9999417087494241,
                5.8291286165955835e-05,
                0.9997388097882266,
                0.00015843625101090195,
                NaN,
                0.9999417087414969,
                0.9999339478318099
            ],
            [
                4.5397857775848465e-05,
                0.9990889487614125,
                8.481102074088805e-05,
                0.00012339455899271665,
                3.12019038250036e-05,
                1.0129994599901296e-05,
                1.3007133092859612e-05,
                4.539786849599816e-05,
                0.00015843619644486274,
                1.8925150486075525e-05
            ],
            [
                8.939699500327152e-06,
                2.753569106169292e-05,
                1.892514823364471e-05,
                1.8925143702277406e-05,
                2.1444943284979742e-05,
                0.00037998456201114876,
                1.4738983723235332e-05,
                0.00013982210695869836,
                2.4300252304268445e-05,
                1.6701427807888088e-05
            ],
            [
                8.481108011267874e-05,
                6.605217602094941e-05,
                0.999903897565072,
                1.4738985479697128e-05,
                2.1444958616409722e-05,
                1.6701419846834993e-05,
                0.00015843615740656266,
                2.144494579431873e-05,
                0.9999251537742427,
                4.006370646383477e-05
            ],
            [
                1.0129994598777299e-05,
                7.889259761489647e-06,
                1.3007123801387135e-05,
                1.670142979875954e-05,
                1.67014238214675e-05,
                1.3007123805078022e-05,
                1.3007126904001353e-05,
                1.3007125354586914e-05,
                0.9770226324316302,
                4.785093922115089e-06
            ],
            [
                6.605216818444021e-05,
                6.962257907702715e-06,
                6.605212878421408e-05,
                4.5397879364784514e-05,
                5.8291251564902706e-05,
                1.1478769487840372e-05,
                1.4738987238035806e-05,
                0.0001398220402386973,
                5.82912653286442e-05,
                5.8291272282189086e-05
            ],
            [
                0.00023050671106059607,
                0.22270014914315836,
                0.00015843629159600502,
                0.029312231917309858,
                1.4738983715996728e-05,
                4.006370171239984e-05,
                0.006692850853082776,
                0.000709670272085305,
                6.144174601410037e-06,
                1.6701421840318107e-05
            ],
            [
                0.10669059465574897,
                NaN,
                4.539785234971499e-05,
                1.8925150486764003e-05,
                0.00012339457327157813,
                3.120192621089609e-05,
                0.00017952805037124592,
                0.0013250225438410524,
                9.610246012330421e-05,
                1.3007125354586914e-05
            ],
            [
                0.00012339461794666872,
                1.8925143711847272e-05,
                0.00012339458877131738,
                0.00013982210704821174,
                1.4738987232888351e-05,
                2.430024362393472e-05,
                0.9980732650389263,
                1.8925145966893773e-05,
                9.610239164799482e-05,
                0.0006263340295316884
            ],
            [
                5.829125135158043e-05,
                2.144494839454502e-05,
                1.4738978451920916e-05,
                2.144494839142443e-05,
                3.2887506332466845e-06,
                1.892515048042999e-05,
                0.9999038975624613,
                0.9998601779765166,
                8.939697367703906e-06,
                2.144494073569759e-05
            ],
            [
                0.0059110681885902,
                0.00010889694787676351,
                1.6701423790298435e-05,
                7.484620038013827e-05,
                1.4738978454950406e-05,
                2.1444950955608285e-05,
                6.605215235043667e-05,
                0.0001398220402854884,
                0.015906391274464377,
                5.829125848875895e-05
            ],
            [
                5.144221357715497e-05,
                5.1442238107329257e-05,
                0.9953904282158976,
                0.0019267349592826685,
                2.7535681236473055e-05,
                0.003172682612742708,
                7.88926445776335e-06,
                0.9984988174103203,
                3.120191504371423e-05,
                0.025957358233872005
            ],
            [
                3.535624646947797e-05,
                4.539789021837975e-05,
                2.4300237824258528e-05,
                2.753570420840434e-05,
                5.144222545019053e-05,
                3.120192623257619e-05,
                4.006368261266023e-05,
                0.9971990735446769,
                4.539788482626311e-05,
                5.144223804819424e-05
            ],
            [
                0.9959298622274761,
                1.8925152747388e-05,
                0.00013982203819006263,
                1.6701419838997157e-05,
                0.004609573078884947,
                0.9992903297424861,
                0.00026119024462672747,
                1.892515725225098e-05,
                2.753569107391384e-05,
                0.003172683027310083
            ],
            [
                6.962258737650141e-06,
                2.1444945825992654e-05,
                6.144174600471243e-06,
                1.4738978446451746e-05,
                6.144173135483279e-06,
                1.4738978450955768e-05,
                1.1478766740638685e-05,
                1.4738981966291175e-05,
                2.4300234925658572e-05,
                1.6701415855069562e-05
            ],
            [
                1.3007128458384476e-05,
                2.144495351004062e-05,
                5.1442225836439433e-05,
                2.753570420569971e-05,
                5.1442195197777694e-05,
                1.3007133110320344e-05,
                1.473898371722997e-05,
                0.00023050663091098183,
                5.829125147329711e-05,
                1.3007131557025005e-05
            ],
            [
                1.4738978443234588e-05,
                2.4300243611116483e-05,
                1.892515047774492e-05,
                1.67014218359435e-05,
                1.3007125354066404e-05,
                0.9994472214691983,
                1.3007125342094687e-05,
                1.3007123808910861e-05,
                2.144494837847401e-05,
                1.1478772218923723e-05
            ],
            [
                1.1478769490387674e-05,
                1.147877085766227e-05,
                2.753568450657077e-05,
                1.473898371326214e-05,
                8.939696299530582e-06,
                1.3007126909916233e-05,
                6.962257907348116e-06,
                3.535625063087323e-05,
                6.1441724019276964e-06,
                2.753569436805389e-05
            ],
            [
                5.8291286270284484e-05,
                3.5356267555952205e-05,
                5.829126539607611e-05,
                2.1444948398445745e-05,
                0.00010889687004997901,
                2.7535697629338066e-05,
                3.1201926212712214e-05,
                0.009708476069592747,
                5.1442218341264895e-05,
                4.006369208491967e-05
            ],
            [
                0.00015843621502234826,
                2.4300243612265703e-05,
                5.144223784084739e-05,
                6.60521365423872e-05,
                0.025957357857117398,
                0.00010889692134612328,
                0.0006263340924542532,
                1.2098661116135314e-06,
                0.00029595705748171894,
                1.1478772226356834e-05
            ],
            [
                4.006367782114826e-05,
                4.5397884797196873e-05,
                1.012999218369684e-05,
                2.1444943275617995e-05,
                2.7535687794499397e-05,
                1.8925154984741643e-05,
                8.939693102865466e-06,
                2.7535704190573806e-05,
                2.430024939965545e-05,
                4.539785235863304e-05
            ],
            [
                8.939698432446272e-06,
                1.473898723610551e-05,
                1.6701415868193372e-05,
                4.539787401263522e-05,
                0.0004305570270893547,
                6.605217602094941e-05,
                0.003172682112758326,
                3.5356254894393866e-05,
                4.006370643293681e-05,
                2.144494328685209e-05
            ],
            [
                0.9997694932428215,
                0.9999485577865778,
                3.535623800597785e-05,
                3.7266406162269133e-06,
                1.0129990886679392e-05,
                2.7535697636951104e-05,
                4.0063701688351906e-05,
                0.00012339455890115095,
                NaN,
                1.3007129998382795e-05
            ],
            [
                0.999903897573978,
                2.7535687791694597e-05,
                0.9996646497186363,
                8.4811051097489e-05,
                1.8925154990456026e-05,
                1.1478769488257963e-05,
                2.1444940734059286e-05,
                7.484619956061006e-05,
                3.535624221033144e-05,
                3.535624643217795e-05
            ],
            [
                5.829127222069457e-05,
                6.605212855402547e-05,
                5.829127206674623e-05,
                6.605216736412253e-05,
                0.00012339460229790708,
                0.999972464308945,
                0.9999832985722397,
                5.829125830597185e-05,
                0.00017952792065897762,
                0.07585817375348311
            ],
            [
                0.04208772881675952,
                4.222834448031899e-06,
                0.0259573572919855,
                3.535624645507245e-05,
                8.939695235487695e-06,
                9.610243765756909e-05,
                2.430024938029549e-05,
                2.753568780461672e-05,
                3.288749064024775e-06,
                3.726638839395927e-06
            ],
            [
                7.889259761489647e-06,
                0.0002034268983932842,
                2.4300234904884198e-05,
                5.8291258493848154e-05,
                2.1444950958338794e-05,
                2.753568450937557e-05,
                2.7535704202894907e-05,
                0.9241418205010699,
                5.829127212527205e-05,
                3.535626328432693e-05
            ],
            [
                1.3007130012980722e-05,
                5.144222575709373e-05,
                2.43002435793803e-05,
                1.3007134656423374e-05,
                0.0001398220564935062,
                8.4811020845783e-05,
                2.4300243612265703e-05,
                5.829127220797157e-05,
                7.484624453393571e-05,
                0.9989677687570104
            ],
            [
                8.939696296928812e-06,
                0.00033534997374463725,
                NaN,
                9.610241477233725e-05,
                1.3007126908733257e-05,
                1.1478766746234395e-05,
                2.753568450356562e-05,
                1.6701415856588526e-05,
                7.889259761704902e-06,
                0.9971990731967584
            ],
            [
                4.006369200475991e-05,
                2.4300234902055345e-05,
                1.6701415862117537e-05,
                5.1442237953129084e-05,
                0.9998911031200913,
                8.481107081157673e-05,
                NaN,
                0.9998204719552916,
                4.0063677390034634e-05,
                0.9997694932925814
            ],
            [
                0.10669059820623795,
                4.539788485169606e-05,
                5.1442213596242845e-05,
                4.5397863181173815e-05,
                6.605216009996246e-05,
                3.5356254877415924e-05,
                0.00017952796285855265,
                6.605216722091533e-05,
                6.605214452978877e-05,
                0.9995121428267525
            ],
            [
                3.120191876292951e-05,
                0.0003353500087419068,
                0.010986941041758782,
                0.9890130563270504,
                2.753569764776963e-05,
                0.00017952794127815472,
                0.2018132150593341,
                0.05340333017646162,
                8.481103056645933e-05,
                4.0063711214250056e-05
            ],
            [
                7.484620035127781e-05,
                4.006367781094611e-05,
                5.829127239924071e-05,
                5.829127934684904e-05,
                0.0011695102336418976,
                4.0063711244273545e-05,
                2.7535700898135497e-05,
                6.9622595668378125e-06,
                1.300713156215912e-05,
                0.0008040859031266389
            ],
            [
                5.422219614951598e-06,
                1.0129992179495674e-05,
                0.09534946939781197,
                1.0129995805691255e-05,
                4.006369692540368e-05,
                5.422220260656402e-06,
                2.4300249387721226e-05,
                2.430023492769181e-05,
                1.1478764015736973e-05,
                2.144495095654446e-05
            ],
            [
                1.8925157247225074e-05,
                1.3007131548176343e-05,
                3.535626754900668e-05,
                0.00017952794109009026,
                2.1444953502863275e-05,
                3.535625067383256e-05,
                5.829127927560022e-05,
                1.1478769487840372e-05,
                2.43002320236113e-05,
                0.970687770467595
            ],
            [
                5.8291285781296944e-05,
                1.473898899256772e-05,
                0.9989677687506482,
                0.9991959139203305,
                2.144494838814782e-05,
                0.9998601779457503,
                0.9999869928731039,
                2.7535684521195802e-05,
                2.2603234880951157e-06,
                0.9999724643089275
            ],
            [
                1.8925152717989902e-05,
                6.605213666348852e-05,
                6.605212869098529e-05,
                2.1444943291142893e-05,
                4.006367775556302e-05,
                2.7535694343912553e-05,
                2.1444945836212564e-05,
                7.889261644358435e-06,
                1.0129992184802409e-05,
                3.726637950723161e-06
            ],
            [
                0.9902915254525771,
                0.022977372084420553,
                3.535625068386498e-05,
                3.5356250691324983e-05,
                0.000430557180726717,
                2.7535694370357833e-05,
                0.0004305569807451424,
                1.670142778941753e-05,
                9.61024147499638e-05,
                1.0129990976451642e-05
            ],
            [
                9.610242610867865e-05,
                0.00015843621474342088,
                7.889260703117714e-06,
                5.8291251396535027e-05,
                8.48110714650109e-05,
                2.430024069359789e-05,
                2.430023782222529e-05,
                0.00010889686984082694,
                2.7535691064898404e-05,
                2.4300237789428296e-05
            ],
            [
                3.5356259104666025e-05,
                2.144494070854852e-05,
                NaN,
                5.1442225844299154e-05,
                6.9622562478334885e-06,
                9.610239053631495e-05,
                0.9998601779607826,
                2.7535700906750255e-05,
                3.1201903879941626e-05,
                0.9999810748562803
            ],
            [
                0.0001233945732949184,
                2.1444953495919973e-05,
                0.0013250226515209844,
                2.753568778267916e-05,
                1.994729206035211e-06,
                4.222834450950777e-06,
                3.1201900183543295e-05,
                6.144172403067661e-06,
                2.1444943290362748e-05,
                0.00013982208864711054
            ],
            [
                0.9984988179802317,
                6.9622570761976915e-06,
                6.60521600759344e-05,
                7.889264463675704e-06,
                2.430023492663099e-05,
                1.4738978448274803e-05,
                4.539787393105161e-05,
                1.1478766747737722e-05,
                3.535624642703312e-05,
                2.4300234917879235e-05
            ],
            [
                5.144220126360399e-05,
                1.4738987238893715e-05,
                6.605212079008656e-05,
                0.0001233946040843363,
                5.829125152122041e-05,
                3.535624225509145e-05,
                8.939699496164318e-06,
                0.029312227942468443,
                0.002800927584920317,
                5.8291286228722664e-05
            ],
            [
                4.539787397465094e-05,
                0.004070138629490474,
                0.1824255304737224,
                1.1478766749575118e-05,
                6.605214451729418e-05,
                0.989013059595799,
                1.670141984118446e-05,
                1.3007133107008012e-05,
                0.0002305066301061323,
                3.5356263271207615e-05
            ],
            [
                1.4738976689561836e-05,
                8.48110814738458e-05,
                1.3007134658978603e-05,
                6.962255418658875e-06,
                2.1444958627955892e-05,
                8.481102054467281e-05,
                4.006371123115648e-05,
                2.7535691051475422e-05,
                4.5397884797196873e-05,
                1.6701423823533284e-05
            ],
            [
                4.006368729632147e-05,
                6.605212870540211e-05,
                0.00012339452825358132,
                0.9999417087214114,
                9.610246006457393e-05,
                9.610240298293514e-05,
                0.9999810748563384,
                NaN,
                0.999769493317089,
                0.9999599363180202
            ],
            [
                1.1478766740638685e-05,
                2.7535681213433616e-05,
                3.5356267520324244e-05,
                4.006370646121136e-05,
                2.1444948352105077e-05,
                7.484625375785435e-05,
                3.5356263245483454e-05,
                4.539785225458921e-05,
                1.9947299576333387e-06,
                1.4738981772028404e-05
            ],
            [
                3.535625487947387e-05,
                1.473898899742027e-05,
                2.753568121974442e-05,
                5.144220122131125e-05,
                3.120191873909274e-05,
                2.1444953509026425e-05,
                2.7535700923478902e-05,
                2.1444945827162874e-05,
                1.6701417858577338e-05,
                1.8925152740434357e-05
            ],
            [
                1.4738980209829803e-05,
                1.3007130007515371e-05,
                1.3007126890278833e-05,
                2.260323758713745e-06,
                1.0129990978441666e-05,
                6.96225707894582e-06,
                1.6701425793503366e-05,
                7.889266343575084e-06,
                6.144173867451939e-06,
                6.962253756004122e-06
            ],
            [
                1.30071346612026e-05,
                0.9999832985742657,
                5.8291278893910084e-05,
                0.9998601779281672,
                3.5356254845260744e-05,
                3.120191127387468e-05,
                0.9999038975976658,
                1.1478766753082876e-05,
                0.9999151889892932,
                0.9999038975853689
            ],
            [
                2.1444956022345354e-05,
                2.4300243607668818e-05,
                3.53562591107112e-05,
                0.9998601779106836,
                1.892514822276672e-05,
                1.6701419820101295e-05,
                1.4738985473530904e-05,
                0.9994472212721973,
                0.999968798085891,
                0.999447221420125
            ],
            [
                4.006368252433876e-05,
                1.1478770852651185e-05,
                0.00013982208969075504,
                3.120190761300358e-05,
                0.00012339460253130993,
                2.1444950954750122e-05,
                1.0129989768322136e-05,
                1.14787735942999e-05,
                3.120191500580244e-05,
                0.9840936072093878
            ],
            [
                1.1478772227651366e-05,
                0.00013982212227159,
                2.430023202582134e-05,
                0.00017952792261014615,
                4.222831933104063e-06,
                4.78509278207486e-06,
                8.481105119004341e-05,
                1.3007123807727885e-05,
                2.7535681193800006e-05,
                7.48462538226543e-05
            ],
            [
                1.3007133108474901e-05,
                1.3007131552624333e-05,
                3.535625068000635e-05,
                6.962256247656188e-06,
                1.6701425816409292e-05,
                1.3007133110320344e-05,
                2.1444953506061874e-05,
                7.889259762666377e-06,
                3.5356267441093826e-05,
                3.120191129135497e-05
            ],
            [
                4.785096205260165e-06,
                2.753570419688461e-05,
                3.5356267424887605e-05,
                1.4738987239698005e-05,
                1.3007126901777358e-05,
                1.892514597632595e-05,
                4.222832940577472e-06,
                1.3007134659451795e-05,
                4.2228334438149845e-06,
                1.892515499864894e-05
            ],
            [
                7.484620920327215e-05,
                1.1478773596847203e-05,
                2.4300237797030833e-05,
                2.1444958592303205e-05,
                2.430024649115313e-05,
                1.892514145232592e-05,
                NaN,
                1.892515725300831e-05,
                3.120190014120469e-05,
                1.670142980112912e-05
            ],
            [
                0.9999417087074476,
                4.0063711246896956e-05,
                3.535625067794842e-05,
                4.53978847413765e-05,
                6.60521287717195e-05,
                3.5356259084858424e-05,
                7.484625289585163e-05,
                1.4738980202752053e-05,
                1.1478768121401121e-05,
                0.9998415638482595
            ],
            [
                6.962254588585202e-06,
                0.014063624525099324,
                1.4738976694977387e-05,
                3.5356263239566895e-05,
                4.539786316234683e-05,
                4.539789021507677e-05,
                1.0129995806317745e-05,
                5.8291244625779683e-05,
                0.0024726235821755094,
                8.939694170729447e-06
            ],
            [
                0.00023050680229034145,
                5.144219515810486e-05,
                3.535626331056557e-05,
                7.484621776230657e-05,
                0.9999038975401507,
                3.535626330593522e-05,
                0.00017952799492877358,
                4.006370169826257e-05,
                4.539786289843879e-05,
                0.997199073067996
            ],
            [
                1.3007126897471327e-05,
                0.9997694932098092,
                2.7535697577449214e-05,
                0.9999151889296389,
                8.481106967254043e-05,
                0.00010889689532252499,
                3.12019224737456e-05,
                5.8291264991060556e-05,
                0.9999546021210451,
                0.9999546021329979
            ],
            [
                7.484624450126348e-05,
                5.14422197242005e-05,
                2.4300237804191365e-05,
                0.9999687980738745,
                5.144220744545534e-05,
                2.144495861188488e-05,
                7.484625275536099e-05,
                1.4738978446451746e-05,
                NaN,
                0.9998204719943149
            ],
            [
                0.22270014914315836,
                0.03732688935207537,
                0.998498817690041,
                0.9986749776394768,
                0.9997040428380332,
                0.9840936098918031,
                2.2603251060985603e-06,
                0.999447221465468,
                0.16451645470385745,
                0.999954602137052
            ],
            [
                3.12019262070368e-05,
                1.892514146086307e-05,
                6.605217605747206e-05,
                1.8925152741191683e-05,
                0.9706877665987492,
                4.539785776065476e-05,
                2.430024360006628e-05,
                5.829127931249693e-05,
                6.144177530001174e-06,
                8.481102040645829e-05
            ],
            [
                5.144221967142812e-05,
                8.481107098434496e-05,
                0.00010889686897252891,
                9.610244762633637e-05,
                1.147876675466972e-05,
                3.53562464218883e-05,
                8.481102018803002e-05,
                3.120191130974332e-05,
                7.889259742690667e-06,
                1.670142382493073e-05
            ],
            [
                5.144223814063949e-05,
                6.9622562453259804e-06,
                4.006368733421517e-05,
                1.14787681240737e-05,
                1.473898722977843e-05,
                0.00020342701917658702,
                0.001926734712130976,
                2.430024941804299e-05,
                0.00013982207313078314,
                4.539788481668446e-05
            ],
            [
                1.892514822276672e-05,
                1.1478769473308226e-05,
                1.3007123799068505e-05,
                1.892514821299031e-05,
                1.3007129994218719e-05,
                0.9997040427644699,
                0.9991959138780537,
                1.012999580884213e-05,
                2.430024939965545e-05,
                2.1444950955608285e-05
            ],
            [
                0.03308597600516689,
                0.9991959142546629,
                0.9993736657924124,
                NaN,
                4.5397858619098996e-05,
                0.9980732652274243,
                0.9997694931799829,
                0.2689414272294874,
                2.7535694357535878e-05,
                0.98593637507458
            ],
            [
                2.753570091766895e-05,
                2.75357009220765e-05,
                5.144222586301276e-05,
                0.9999546021476804,
                0.9988304896611021,
                0.9999339478485598,
                0.00010889686993272709,
                5.8291279174664385e-05,
                2.430025229242262e-05,
                2.1444956064317223e-05
            ],
            [
                1.8925148236674017e-05,
                1.67014198374782e-05,
                8.939693102572767e-06,
                8.93970056565517e-06,
                3.1201911339482505e-05,
                1.6701427794095925e-05,
                2.7535694357535878e-05,
                1.670142380779686e-05,
                4.222832940577472e-06,
                5.144223193894802e-05
            ]
        ]
    },
    {
        "q_id": "10770_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9875683462883277,
                0.9579122738866624,
                0.9902915246288146,
                0.9975273773481564,
                0.9975273770604427,
                0.9924227582664141,
                0.0002959569920041779,
                0.9964063978045802,
                0.99807326489565,
                0.9820137873401612
            ],
            [
                4.222831934286977e-06,
                3.466327037512053e-07,
                1.4738980212644815e-05,
                5.715003106953694e-07,
                1.2098655392662613e-06,
                1.9947297214944016e-06,
                6.144174601309452e-06,
                2.4300237809495462e-05,
                9.422449308673789e-07,
                8.939700564468113e-06
            ],
            [
                2.1024331597066579e-07,
                1.5534971989992774e-06,
                4.450850519360903e-07,
                3.4663257978039603e-07,
                6.144173137014406e-06,
                3.4663253846316044e-07,
                8.315283250305684e-07,
                3.9278634073625165e-07,
                4.4508499887035535e-07,
                3.4663274507098256e-07
            ],
            [
                0.991422515552514,
                0.999704042831067,
                0.0008040861190000249,
                0.00247262298779677,
                0.01590638937927973,
                9.610242577727206e-05,
                0.0009110513106958043,
                0.0009110511942416997,
                0.9999038975856331,
                0.9992903295398066
            ],
            [
                0.003593602327143419,
                0.9924227584625088,
                0.9995121427750667,
                0.9968273164380967,
                0.02033235523485744,
                0.9998415638021905,
                0.9991959138787084,
                0.010986945059385056,
                0.9999546021475963,
                0.9984988179235197
            ],
            [
                0.9991959139563873,
                0.03732688399755317,
                0.9989677689370756,
                0.0004878570575577496,
                0.9997694932576776,
                0.999373665820467,
                0.010986940373841205,
                0.9999417087066731,
                0.017986210850374138,
                0.9998601779425625
            ],
            [
                0.9995121428813901,
                0.0028009273599112774,
                0.9999910603004989,
                0.9999038975850102,
                0.999512142767091,
                0.9999646437619301,
                0.9998601778598297,
                0.9975273763471881,
                0.9997388095658684,
                0.999959936298269
            ],
            [
                0.9996646500103618,
                0.9994472214563673,
                0.9999599363173692,
                0.9997388097843887,
                0.9999832985781563,
                0.9999984465018751,
                0.9820137873401612,
                0.9998415637076294,
                0.0007096704420719647,
                0.9999546021151331
            ],
            [
                1.994729721469003e-06,
                2.5612831265909735e-06,
                6.962257079275089e-06,
                3.288749457409966e-06,
                2.902313022952668e-06,
                5.043472278280699e-07,
                3.726637951028202e-06,
                1.2098655392811161e-06,
                1.0677029973158649e-06,
                6.96225375863827e-06
            ],
            [
                0.9980732653948785,
                0.9999756997592695,
                0.5621765008857981,
                0.9999869928761876,
                0.9993736659299166,
                0.998967768946079,
                0.9999724643089016,
                0.9997040429356898,
                0.9999687980886276,
                0.9998415638398226
            ],
            [
                0.9999945777810305,
                5.829124463044478e-05,
                0.0066928519830289175,
                0.9998204720340828,
                0.9989677689350349,
                0.9998911031297709,
                0.00017952800694923088,
                0.0010322311613599464,
                0.9986749776898506,
                0.9996200154702357
            ],
            [
                8.3152792852928e-07,
                3.2887506335906595e-06,
                2.26032402841657e-06,
                2.9023123310580418e-06,
                8.315280276505193e-07,
                1.9947301969707264e-06,
                1.7603440526806268e-06,
                3.0590237278838124e-07,
                1.5534984953199313e-06,
                9.422447062240614e-07
            ],
            [
                4.2228324375512536e-06,
                1.892515726357648e-05,
                1.7603432133136672e-06,
                6.144174601588856e-06,
                8.93969736942758e-06,
                3.726639284017094e-06,
                3.726638839656906e-06,
                1.553497198826904e-06,
                1.9947301969471416e-06,
                1.5534973840786793e-06
            ],
            [
                0.9999869928746374,
                0.99919591415159,
                0.34864514210180597,
                0.9994472214577501,
                0.9999485577740814,
                0.9998911030389086,
                0.9902915234200326,
                0.9999898700114352,
                0.9999251537548992,
                0.9989677689255516
            ],
            [
                4.222834954607099e-06,
                1.0129994600398803e-05,
                5.422217030663578e-06,
                1.3709572068272963e-06,
                2.5612828212909852e-06,
                5.422220907909759e-06,
                8.315280276607289e-07,
                1.0677028699955933e-06,
                1.7603427936263351e-06,
                5.422220908703723e-06
            ],
            [
                0.005220126174764561,
                0.9999546021367908,
                0.00017952792231760152,
                0.0001795279867897595,
                0.0017007222193161735,
                0.9991959142534002,
                0.9998204720554098,
                0.0005527786624571834,
                0.9991959142440937,
                0.9988304896033064
            ],
            [
                6.962257079376403e-06,
                0.0003799845737181864,
                0.02033235337976069,
                3.535625067794842e-05,
                1.6701417861949427e-05,
                0.042087730619040926,
                0.9982992777087379,
                1.3007133114011233e-05,
                0.9046505325302034,
                0.00023050682291462726
            ],
            [
                0.9980732653391351,
                0.002472622781630651,
                0.9978172835409632,
                0.0005527786077561443,
                0.0004878570364690588,
                0.0015011822071794843,
                0.9995694429095193,
                0.9999038975736144,
                0.9996646497309396,
                0.9940889324434916
            ],
            [
                0.9982992773171866,
                0.9947798731505795,
                0.9706877706795866,
                0.0052201251639898555,
                4.539785237613882e-05,
                5.829126542194621e-05,
                8.481102096980583e-05,
                0.9996646497707762,
                7.484620910307734e-05,
                0.998498818093132
            ],
            [
                0.9993736659002589,
                0.9996646500120887,
                0.9991959141449491,
                0.9997040429361289,
                0.9998601779425829,
                0.9988304898688943,
                0.0007096703707006788,
                0.9984988175228717,
                0.9996646497697713,
                0.9998911030649322
            ],
            [
                0.9902915249242946,
                0.9994472214592935,
                0.0015011820187213728,
                0.999992110737415,
                0.999447221255861,
                0.007577239562536913,
                0.9999151889788636,
                0.0002611903389536142,
                0.99998329858413,
                0.9999945777810303
            ],
            [
                8.93969417214416e-06,
                2.4300249421932663e-05,
                2.9023123309973302e-06,
                2.5612831265909735e-06,
                6.962254589705982e-06,
                8.939695236983711e-06,
                1.553497384180408e-06,
                5.715006513900631e-07,
                1.3709572068179446e-06,
                2.4300232031037035e-05
            ],
            [
                1.5534984952492866e-06,
                5.422220908634683e-06,
                5.422217676866151e-06,
                1.9947297210880223e-06,
                2.902312677104321e-06,
                8.315280276456036e-07,
                1.3709575336654889e-06,
                1.3007134662054344e-05,
                1.9947304346826253e-06,
                4.785092783267308e-06
            ],
            [
                0.00012339453062351613,
                0.9859363748421358,
                1.6701427815999337e-05,
                0.9993736659041573,
                0.9840936069761342,
                0.9989677690436742,
                0.029312231917309854,
                0.0006263340228277214,
                0.9994472212545104,
                0.0003353501062015652
            ],
            [
                0.9986749778542203,
                0.00048785717032407517,
                0.9770226321389233,
                0.9999930377462409,
                0.4073334000459302,
                0.03732689015525376,
                0.9997388096601193,
                0.0024726231147124116,
                0.9994472212615209,
                0.002182716652239547
            ],
            [
                0.009708477081388197,
                0.9968273176383541,
                0.95257412564436,
                0.0007096704280371249,
                0.003593601896957355,
                0.9997040430071777,
                0.005220126716423813,
                0.9989677691996107,
                0.998967768827476,
                0.0017007227863838677
            ],
            [
                8.93969417150998e-06,
                2.4300249421225448e-05,
                2.5612825160562587e-06,
                3.466325384661554e-07,
                3.059021904543821e-07,
                1.0677031245905116e-06,
                8.315278293951957e-07,
                6.9622587396067566e-06,
                8.939697369882888e-06,
                6.144173136952939e-06
            ],
            [
                0.0005527787409552741,
                0.025957357103608202,
                0.02033235523485744,
                0.010986940292881501,
                0.00048785704691406304,
                0.0010322308760166287,
                0.00017952790142938994,
                0.9859363710584594,
                0.993307148691843,
                0.9947798740888107
            ],
            [
                0.24508501313237172,
                0.0011695101886293137,
                0.00033535002913340374,
                0.0013250222671699083,
                0.9989677691685195,
                0.9902915218441386,
                0.9997040428671468,
                0.9940889300027251,
                0.9980732657051613,
                0.9914225151565198
            ],
            [
                4.0063682618927264e-05,
                0.9971990731349785,
                0.00037998456597982343,
                0.9975273772562717,
                0.9999151889386061,
                0.9994472213253549,
                0.0006263341674366808,
                0.9740426412480904,
                0.9964063974235821,
                4.006369690499937e-05
            ],
            [
                0.9982992775290711,
                0.9989677691691197,
                0.9933071485463432,
                0.9968273172046415,
                0.9997040428000331,
                0.9982992778897885,
                0.9999785550567105,
                0.99994170874144,
                0.9991959142454031,
                0.9986749775102299
            ],
            [
                0.9988304895993628,
                0.974042641907411,
                0.999915188928337,
                0.9997694933669528,
                0.9999599362887123,
                0.9999646437366446,
                0.9998766054413842,
                0.9770226313862481,
                0.9993736658214143,
                0.9978172831484725
            ],
            [
                2.902313023039776e-06,
                8.315279285251204e-07,
                1.0129993394811673e-05,
                2.102434412871794e-07,
                3.2887494573232236e-06,
                0.9971990728026675,
                6.475945665800774e-07,
                5.71500515151976e-07,
                2.260323758923431e-06,
                6.144173136952939e-06
            ],
            [
                0.9914225148476442,
                0.9999852610215454,
                0.9997965731000351,
                0.9999646437366446,
                0.9992903294546068,
                0.9997040427977598,
                0.9999930377420905,
                0.9999546021476294,
                0.9998601779761158,
                0.99896776892147
            ],
            [
                0.999290329544595,
                0.999891103038858,
                0.9996200154239604,
                0.9995694429104336,
                0.9999945777810303,
                0.9997388096907535,
                0.999981074854021,
                0.9982992779093562,
                0.9996200155165885,
                0.9999687980737538
            ],
            [
                3.288749457409966e-06,
                5.4222202623972055e-06,
                2.9023112931213857e-06,
                1.2098658277264215e-06,
                2.902311639073834e-06,
                8.315277302788957e-07,
                7.889261644358435e-06,
                4.785096205582214e-06,
                3.726637951126493e-06,
                5.715002426460124e-07
            ],
            [
                0.9989677691706802,
                0.9995694429608862,
                0.9959298616442103,
                0.001700722364196121,
                0.9994472212587553,
                0.002182716319078776,
                0.9999952149043644,
                0.9999869928730871,
                0.9998601779760934,
                0.0010322309490030483
            ],
            [
                2.6995777745466066e-07,
                3.2887482811908074e-06,
                2.260324567087388e-06,
                1.7603436329394601e-06,
                1.300712691308661e-05,
                1.0677032518501217e-06,
                3.05902263389638e-07,
                5.4222215550004564e-06,
                5.043474081867732e-07,
                6.962256249606473e-06
            ],
            [
                3.535625490018181e-05,
                0.004609572301160688,
                0.9994472214555955,
                0.00037998443405181374,
                0.00020342697170971713,
                0.00669285033299804,
                0.9914225153465969,
                0.00970847860355854,
                0.08509904094645104,
                0.9914225128122335
            ],
            [
                0.9999938558224684,
                0.9999910603036961,
                0.999290329540302,
                0.9999810748540153,
                0.002800926716099384,
                0.9995694429109848,
                0.9999980052698031,
                0.0052201252679690635,
                0.9964063980046668,
                0.9999952149066464
            ],
            [
                4.539786859839053e-05,
                0.0008040859146779211,
                4.785092783319532e-06,
                0.015906391974224915,
                0.2018132270610754,
                0.03732689082456911,
                0.9982992779022407,
                0.9959298628956834,
                3.120191508321514e-05,
                3.2887478892055875e-06
            ],
            [
                0.9999852610233002,
                0.9999151889889952,
                0.9999599363221504,
                0.9999339478238608,
                0.9998911031297076,
                0.06008665648572012,
                0.003172682562670631,
                0.9999962733593831,
                0.6224593241981982,
                0.9999339478474747
            ],
            [
                6.962259569313662e-06,
                4.785093353739995e-06,
                1.0677031245953668e-06,
                2.7535704221626983e-05,
                2.9023109469842055e-06,
                2.260324028255194e-06,
                2.2603248366762157e-06,
                4.785096776251149e-06,
                1.994729959224386e-06,
                7.889264466344872e-06
            ],
            [
                6.962255419051463e-06,
                2.260325375650449e-06,
                1.3709573699243767e-06,
                8.9397005654763e-06,
                2.753570420970657e-05,
                2.902311985079115e-06,
                8.939695238211425e-06,
                8.31528424146183e-07,
                1.147876675686207e-05,
                3.726641061027928e-06
            ],
            [
                1.3007130014873483e-05,
                4.222831934202483e-06,
                4.22283294098842e-06,
                4.222834450666572e-06,
                6.1441775312976045e-06,
                5.422220262195015e-06,
                1.0677031245905116e-06,
                6.1441775312976045e-06,
                5.422219615829396e-06,
                5.422217676866151e-06
            ],
            [
                0.00020342701953766435,
                0.998674977379905,
                0.9902915248347552,
                6.962255418924822e-06,
                0.9796676483640301,
                0.996406396873344,
                0.9933071491407258,
                5.829127932267533e-05,
                3.5356242272712497e-05,
                0.9986749776736754
            ],
            [
                2.9023123310290063e-06,
                1.0677027426709671e-06,
                1.7603440526662173e-06,
                6.144176797439742e-06,
                4.450851049959619e-07,
                3.7266383955611403e-06,
                3.059021904543821e-07,
                3.927860597945825e-07,
                3.466327037512053e-07,
                6.475948753965404e-07
            ],
            [
                0.9875683516737158,
                0.9990889486612768,
                0.9998601779260209,
                0.0017007221736582395,
                0.999290329450644,
                0.9859363732795938,
                0.9994472213875166,
                0.9990889486580449,
                0.9996646497317494,
                0.999738809628649
            ],
            [
                0.999820472098197,
                0.9999485577924947,
                0.0005527785324417303,
                0.9997694933122868,
                0.00012339457383174477,
                0.0003799845730438433,
                0.9993736659113713,
                0.9998911030388326,
                0.9978172833964415,
                0.003593602781506663
            ],
            [
                0.9953904285812571,
                0.9984988178961235,
                0.999997097687669,
                0.9947798734455904,
                0.9998415637643255,
                0.9971990727194271,
                0.9947798737623643,
                0.9999251537995529,
                0.9953904283633234,
                0.9999967112501505
            ],
            [
                3.726640172385136e-06,
                0.9984988177352361,
                0.9998415637833618,
                0.00026119027604368705,
                0.0011695103186354526,
                0.9840936103291533,
                0.9924227583014311,
                0.0001584362730899713,
                0.9999599362934934,
                1.1478764018827141e-05
            ],
            [
                0.9995694429611617,
                0.9995694430123533,
                0.9997965730994314,
                0.9980732656165091,
                0.9999151889789025,
                0.9998601779759103,
                0.9999687980886298,
                0.997817283728588,
                0.9999251537548818,
                0.9999038975621215
            ],
            [
                1.0677024881980089e-06,
                3.288748673295719e-06,
                3.726638395215427e-06,
                5.422217030121119e-06,
                6.144173869379821e-06,
                4.785093923982095e-06,
                1.994729721469003e-06,
                2.9023112930949896e-06,
                5.422217676397663e-06,
                8.315281267861397e-07
            ],
            [
                0.9999038975965423,
                0.9997694933396449,
                0.012431648372020009,
                0.9999485577924683,
                0.9999417087414281,
                0.9999151889789025,
                0.9995121428241128,
                0.9997040430081853,
                0.999620015514278,
                0.9997965730266685
            ],
            [
                2.6995774527657245e-07,
                8.939696303758459e-06,
                1.8553910183607374e-07,
                2.902312676941983e-06,
                1.8925155006118952e-05,
                2.2603240283888175e-06,
                1.55349775456958e-06,
                6.962256249821764e-06,
                7.889260704308795e-06,
                2.260325375634003e-06
            ],
            [
                3.288750633569722e-06,
                1.994729245878497e-06,
                5.422218969601935e-06,
                3.2887494572873306e-06,
                1.7603434231505666e-06,
                4.22283294098842e-06,
                4.78509506499309e-06,
                1.7603430034655858e-06,
                9.422443692390473e-07,
                2.9023130227599746e-06
            ],
            [
                0.0013250222331251892,
                0.0003799845294768619,
                0.9980732655439755,
                0.9999938558261307,
                0.0028009266549697772,
                0.9982992776960882,
                0.00132502246327367,
                7.484621825620178e-05,
                0.998674977570925,
                0.9740426447330705
            ],
            [
                0.9998204720766716,
                0.9993736658288106,
                0.999876605454525,
                0.9997965730036246,
                0.9996200155207672,
                0.9999485577924853,
                0.9984988174015953,
                0.9999945777810302,
                0.9998601778591869,
                0.9998766054397721
            ],
            [
                0.9999785550567005,
                0.9997694932848212,
                0.004070138654029168,
                0.001032231059202948,
                0.999975699747687,
                0.0011695100723581452,
                0.9947798749061356,
                0.003593602991597577,
                0.9999646437408591,
                0.008577484106930997
            ],
            [
                0.0002611903684022746,
                0.008577486490816461,
                0.0015011823132744316,
                0.00033535018536743537,
                0.9914225134379047,
                0.9975273770248373,
                0.0002959571651098126,
                0.9947798753994322,
                0.0028009263649293225,
                0.002472623707368344
            ],
            [
                0.9914225141031751,
                0.998674977697399,
                0.9999251537549417,
                0.9993736658361704,
                0.9999724643056184,
                2.4300252310279753e-05,
                0.0003353501858552705,
                0.9995694429619008,
                0.9978172839395391,
                0.9998766054545571
            ],
            [
                1.3709568799823232e-06,
                1.0677029973158649e-06,
                1.147876812538911e-05,
                6.144173867608406e-06,
                6.144173869240119e-06,
                5.422218322851817e-06,
                2.4300240731964193e-05,
                3.9278624708775595e-07,
                4.785096206013061e-06,
                8.315280276546789e-07
            ],
            [
                0.0003799844847270217,
                0.9999646437492984,
                0.9993736658952308,
                0.9997965730994314,
                0.9996646498106129,
                0.999959936298269,
                0.9999852610232997,
                0.9820137942490252,
                0.9999910603026306,
                0.9997965730266685
            ],
            [
                0.9999967112509346,
                0.9996646499705251,
                0.9999339478474645,
                0.9999898700078126,
                0.999991060303697,
                0.9999938558232008,
                0.999704042865967,
                0.9998766054692472,
                0.9999921107383555,
                0.9993736659014247
            ],
            [
                0.9770226283337323,
                0.9796676487350494,
                0.00012339457458581518,
                1.994729483666479e-06,
                0.9959298613742847,
                1.4738976699106073e-05,
                0.9991959141442943,
                0.9046505376715775,
                0.00010889693498538138,
                0.9990889489952743
            ],
            [
                0.9324533144915912,
                0.9997694932296756,
                0.9924227602028497,
                0.004609572348165996,
                0.9975273769628152,
                0.9995121428815036,
                0.9971990732624402,
                0.9997388095661343,
                0.014063623789025917,
                0.9997040429356898
            ],
            [
                0.00015843615955038405,
                0.9890130574402465,
                8.481105139057794e-05,
                0.000487857153492855,
                0.9978172832356927,
                0.0004878571675992908,
                0.0024726236855457397,
                0.00013982212321758376,
                0.0021827163763803964,
                0.9980732649081867
            ],
            [
                2.5612825160096693e-06,
                0.9994472212537708,
                0.999195914240633,
                0.9997694933121257,
                0.9986749776872317,
                0.9959298624634251,
                0.00017952804973391597,
                0.0005527786657051582,
                0.13296425222296632,
                0.7057850278370112
            ],
            [
                0.9986749778422046,
                0.0008040861030059375,
                0.007577242416415929,
                0.0008040858232965256,
                0.9978172840338586,
                0.0013250224290748973,
                0.9914225140714955,
                0.015906389816630014,
                0.0010322311391519024,
                0.0008040858212855739
            ],
            [
                0.04742587284097444,
                0.0015011824190203896,
                1.147876812106705e-05,
                0.0001233945746217233,
                0.9999785550541431,
                0.0011695100669185587,
                0.9999967112505427,
                0.0006263340096019603,
                2.1444940701683237e-05,
                0.9997694933404632
            ],
            [
                0.0003353499876771991,
                0.025957356679759284,
                0.9996646499306886,
                0.0002611902444747344,
                0.9994472213253549,
                0.9997965730513342,
                0.0011695101506881943,
                0.997817284068341,
                0.9971990730627934,
                0.9995121428815036
            ],
            [
                0.9999724643089064,
                0.006692851692029071,
                0.9986749775536717,
                0.9999724642957772,
                0.999993037742921,
                0.9859363705031758,
                0.9999910603026306,
                0.9982992777354212,
                0.001325022203085732,
                0.00017952803016475351
            ],
            [
                0.9999339478317094,
                0.9999485577863364,
                0.999876605410471,
                0.9996646499708667,
                0.9999151889788488,
                0.9999546021475917,
                0.9999038976079088,
                0.0011695100881329462,
                0.9999485578047429,
                0.9999756997534733
            ],
            [
                0.9988304894837715,
                0.00037998447488824823,
                0.00048785711406863335,
                0.005911069326884902,
                0.00757724197170097,
                0.009708475236876214,
                0.00020342697324873506,
                0.9999485577924765,
                0.9994472212569223,
                0.9997040427945652
            ],
            [
                0.10669059891633578,
                0.0059110692885769025,
                0.991422516439541,
                0.985936373873618,
                0.998967769172601,
                0.9996646498103884,
                0.5926665999540698,
                0.0011695100689584036,
                0.9968273170949247,
                0.9971990728410361
            ],
            [
                1.7603436330179102e-06,
                4.4508489275469177e-07,
                5.715005150672525e-07,
                1.9947290081286418e-06,
                5.043475885657239e-07,
                3.2887478892683997e-06,
                8.315279285251204e-07,
                3.05902117523595e-07,
                6.144176799099397e-06,
                6.962253759828703e-06
            ],
            [
                0.9997040430085555,
                0.0006263341531178784,
                0.003593602890720589,
                0.9986749778921162,
                0.9998766054692795,
                0.003593602089540645,
                0.002472623558630069,
                0.9998766054105698,
                0.9998415637453423,
                0.08509905080783367
            ],
            [
                0.00026119033550337135,
                0.9975273767911058,
                0.03308597624352061,
                0.0006263342363709711,
                0.00010889687020208962,
                0.00048785711685018384,
                0.999841563726774,
                0.9989677690355113,
                0.9999251537370575,
                0.999998446502801
            ],
            [
                0.9996200155149855,
                0.9999724643187576,
                0.9997040429360429,
                0.0066928512617208105,
                0.9997388097839099,
                0.00023050668722362838,
                0.9241418163225626,
                0.9978172832083096,
                0.9999038975851299,
                0.9953904271305024
            ],
            [
                0.014063624357222927,
                0.0017007224723125424,
                0.9933071484348963,
                0.0001398221072211353,
                0.0005527785380372501,
                0.000430557035581619,
                0.00033535010811387836,
                0.0003353501070503981,
                0.00037998448312407545,
                0.0009110510143153693
            ],
            [
                5.715005151550947e-07,
                2.902312331125353e-06,
                1.1478764020372226e-05,
                1.1478773599102191e-05,
                6.144172403827636e-06,
                1.3007131565376817e-05,
                2.4300246521474893e-05,
                8.939695237813028e-06,
                1.553497754476329e-06,
                3.535624648041073e-05
            ],
            [
                0.9982992777864158,
                0.005911069901504905,
                0.999738809784594,
                0.0013250227276209701,
                0.004070138395429092,
                9.61024604575076e-05,
                0.0006263340220625947,
                0.9988304897330406,
                0.9999921107374143,
                0.0009110513173715178
            ],
            [
                0.9998601779429186,
                0.9947798730949627,
                0.9924227598456773,
                0.005220125949879262,
                0.9982992779079726,
                0.029312227995466327,
                0.9998415637455474,
                0.9993736659707597,
                0.9997965729787901,
                0.99592986277299
            ],
            [
                0.9986749777017122,
                0.9964063979946625,
                0.9998911031039645,
                0.9997965730267098,
                0.9999151889283289,
                0.9999687980849061,
                0.9840936109706004,
                0.9999151889586319,
                0.9996200155634829,
                0.9940889325283164
            ],
            [
                7.338208055536515e-07,
                1.2098652508391807e-06,
                9.422450431912e-07,
                8.939700566289352e-06,
                1.3709568798607528e-06,
                2.260324028331257e-06,
                1.7603436329714805e-06,
                8.315281267800897e-07,
                1.9947301970451086e-06,
                2.5612819053399912e-06
            ],
            [
                0.9984988175469525,
                0.9999485577618238,
                0.00023050665925510163,
                0.9968273176464539,
                0.991422514031896,
                0.9820137900708078,
                0.9991959139516638,
                0.9986749777052555,
                0.9999251537638563,
                0.000487857170465991
            ],
            [
                0.005220126068367214,
                0.0004878571099814573,
                0.9982992775672181,
                0.9999898700090204,
                0.000487857055372246,
                0.9999339478789758,
                0.017986206014169497,
                0.9986749773755916,
                0.00012339463362954505,
                0.999981074858529
            ],
            [
                0.9980732649099776,
                0.00010889696076497818,
                6.605214460571739e-05,
                0.9968273166560576,
                0.9940889314748468,
                0.004070137625291741,
                0.00048785723026933606,
                2.7535687799708318e-05,
                0.00037998457267903477,
                0.00012339454524350137
            ],
            [
                0.9999546021097218,
                0.9999869928653335,
                0.9998766054694789,
                0.004609571861020094,
                0.9999546021151215,
                0.9999938558275956,
                0.11920292984474949,
                0.9996200154270999,
                0.9975273773406907,
                0.9999885212277704
            ],
            [
                0.004609571378147451,
                0.0010322309017059272,
                0.00970847620390187,
                0.0031726830987364387,
                0.0019267344022959284,
                0.0059110677070040455,
                0.9996646497719275,
                0.9999785550515903,
                0.007577241281867579,
                0.9999980052705164
            ],
            [
                0.9999546021313646,
                0.9990889488969401,
                0.9999930377420904,
                0.9988304897311369,
                0.9999038975506481,
                0.9997965730272722,
                0.9770226298390827,
                0.9999646437577183,
                0.9982992779121233,
                0.999981074858529
            ],
            [
                0.998498817741867,
                0.9997040427596564,
                0.9997694932846602,
                0.9980732655748694,
                0.9997965730025117,
                0.9998204720766716,
                0.9998911030907103,
                0.9995694429170972,
                0.9964063977428869,
                0.9991959140482831
            ],
            [
                3.927860597935108e-07,
                5.715003788557066e-07,
                1.5534983100920427e-06,
                8.31528424151477e-07,
                1.6373776432481905e-07,
                1.5534983101393749e-06,
                5.715003788801361e-07,
                3.288750633545794e-06,
                5.715002426010517e-07,
                8.315280276580819e-07
            ],
            [
                0.9980732649372898,
                0.999994577782323,
                0.999876605454525,
                0.029312228472447268,
                0.001501182216427892,
                0.9996200155155605,
                0.9997040428312477,
                0.9999945777797379,
                0.9999898700114356,
                0.012431650910355543
            ],
            [
                0.9740426431789577,
                0.9999756997621702,
                0.999738809691445,
                0.999447221386777,
                0.9740426421428826,
                0.998967768927112,
                0.9998911030908497,
                0.9999339478789758,
                0.0021827167871265713,
                0.9997694932300513
            ],
            [
                0.999959936322143,
                0.999704042936482,
                0.9999339478396323,
                0.9992903297112792,
                0.9998204720769719,
                0.9993736658961782,
                0.9982992773553336,
                0.003593601895289967,
                0.9999251537906132,
                0.9940889311246022
            ],
            [
                0.9999957771675624,
                0.9999832985761665,
                0.9988304899030278,
                0.9995121428244533,
                0.9994472213893174,
                0.9999910603004991,
                0.9999930377420905,
                0.9988304894783319,
                0.999968798081195,
                0.9999910603015647
            ],
            [
                0.0008040859285675201,
                0.00043055708485679605,
                0.9999921107336525,
                0.008577484407886603,
                0.9999938558268633,
                0.9980732652363792,
                0.01098694203351526,
                0.9997694932572485,
                0.9975273773688303,
                0.9995121428866693
            ],
            [
                1.5534975693601474e-06,
                2.1444948413814623e-05,
                1.6701419853518415e-05,
                1.7603427936079236e-06,
                2.9023123311055552e-06,
                7.889263525405172e-06,
                4.222833444429485e-06,
                6.144175334172377e-06,
                3.288748281295496e-06,
                1.147876538789672e-05
            ],
            [
                4.222833947897496e-06,
                5.04347648686092e-07,
                4.222833947897496e-06,
                1.7603432132912532e-06,
                1.1478769491598686e-05,
                1.553497198908852e-06,
                6.144176066264237e-06,
                1.2098655392464547e-06,
                6.962257909121104e-06,
                3.726637951170554e-06
            ],
            [
                0.003172683006692166,
                0.9986749776787591,
                0.04742587452393618,
                0.9984988178828615,
                0.999975699762164,
                0.06754669442450784,
                0.9999546021097102,
                0.9940889308673914,
                0.005220124902832787,
                0.0035936021387285863
            ],
            [
                0.9999945777784447,
                0.02297737162445238,
                0.9980732656326277,
                0.182425528251267,
                0.9991959141464924,
                0.9999980052709919,
                0.9997388097848067,
                0.998498817535959,
                0.9999251537906008,
                0.9975273764677868
            ],
            [
                0.9999646437324287,
                0.9994472213230394,
                0.9989677689443984,
                0.002472623117583806,
                0.9991959140464125,
                0.9999485578047371,
                0.9999599362934897,
                0.0002034270447598079,
                0.999769493312555,
                0.9999952149032237
            ],
            [
                0.9998204720125233,
                0.9998204719913294,
                0.9998766053957971,
                0.9999724643089045,
                0.0004878572088116566,
                0.9999646437366431,
                0.9999485577924765,
                0.9997040427593981,
                0.9984988180449705,
                0.00013982207330370664
            ],
            [
                0.0075772418561451185,
                0.0021827161725286198,
                0.0015011824389131944,
                0.997817283534371,
                0.9999756997476807,
                0.9999852610162715,
                0.9997040429716577,
                0.9975273769777465,
                0.008577484431646255,
                0.0031726825575161526
            ],
            [
                0.9984988177176117,
                0.320821300824607,
                0.2689414213699951,
                0.9992903296166679,
                0.9999339478554337,
                0.9953904270193988,
                0.999769493262802,
                0.9953904269061589,
                0.9924227575660756,
                0.9997694933676536
            ],
            [
                0.9999852610197857,
                0.9999869928684354,
                0.9999810748495053,
                0.9998911031167164,
                0.9986749777189657,
                0.9999151889182207,
                0.9997965729306721,
                0.9996646499319568,
                0.9859363725047796,
                0.9997694932582344
            ],
            [
                1.7603438428460541e-06,
                1.7603440527046419e-06,
                5.422220908876325e-06,
                3.2887490653408545e-06,
                2.561282515988704e-06,
                1.7603427936079236e-06,
                2.9023116387069255e-06,
                4.7850933538313875e-06,
                1.0129989769722525e-05,
                5.422218323019487e-06
            ],
            [
                0.9999967112501507,
                0.9999945777829694,
                0.9999921107364743,
                0.9994472214138863,
                0.9999687980737526,
                0.9999724643023389,
                0.9999546021476033,
                0.9996200155609736,
                0.9996646498911933,
                0.99970404283018
            ],
            [
                0.9994472213888672,
                0.999959936322143,
                0.9995121427663813,
                0.9995121427656435,
                0.9964063975319624,
                0.9989677687986656,
                0.9968273165257229,
                0.9989677690503967,
                0.10669058755477132,
                0.9999339478789423
            ],
            [
                3.2887490653408545e-06,
                6.144173869312763e-06,
                0.0017007225877421481,
                4.78509392429544e-06,
                0.9980732649462445,
                0.0010322311110617286,
                0.0017007220855048283,
                6.962258739068529e-06,
                1.1478764020560142e-05,
                0.003593602951580259
            ],
            [
                0.9990889487721148,
                0.9820137860241869,
                0.000379984567129523,
                0.00280092734495403,
                0.9991959140568414,
                0.0019267344560245459,
                0.9996200154241041,
                0.004070137634729697,
                0.9940889309959968,
                0.020332351302052524
            ],
            [
                1.3709578605118645e-06,
                3.288750633545794e-06,
                7.889260704179641e-06,
                1.0677028700203557e-06,
                1.4738987242137685e-05,
                6.96225541916544e-06,
                4.2228324375512536e-06,
                4.785093923768848e-06,
                9.422447062202052e-07,
                9.422448184912962e-07
            ],
            [
                0.9998204720340828,
                0.9971990727766549,
                0.9994472214519937,
                0.9999546021151307,
                0.9999646437366505,
                0.999860177859368,
                0.9998911030388452,
                0.9986749773705079,
                0.9998601779516949,
                0.9990889489036158
            ],
            [
                0.999975699753474,
                0.9993736657875301,
                0.9999938558224684,
                0.9999938558275958,
                0.16451646289656316,
                0.9999724643023399,
                0.9999038975851403,
                0.9999921107364741,
                0.9998766053809797,
                0.9953904272480156
            ],
            [
                1.8925143722381014e-05,
                1.4738976699749503e-05,
                1.6701421842961097e-05,
                8.939699501132077e-06,
                1.6701425823882575e-05,
                6.14417753171671e-06,
                2.1444948411552198e-05,
                1.7603432132912532e-06,
                1.5534971989809095e-06,
                3.2887490652810324e-06
            ],
            [
                2.9023123310580418e-06,
                6.9622579096593295e-06,
                2.9023119851055122e-06,
                1.7603440527046419e-06,
                5.422218323349895e-06,
                1.3709570434122812e-06,
                1.5534975693869924e-06,
                6.144172404520556e-06,
                3.288750633518874e-06,
                8.315277302701984e-07
            ],
            [
                0.997527376414953,
                0.9940889325392616,
                1.4738976698757546e-05,
                0.9968273175706095,
                0.4378234991142019,
                0.9991959142425036,
                0.06754669301670264,
                2.5612819053586272e-06,
                3.1201926219749737e-05,
                2.2603251062013478e-06
            ],
            [
                0.9999687980923492,
                8.3152792848466e-07,
                0.5926665999540698,
                0.9840936047602254,
                0.9995694429624519,
                0.995390427376212,
                6.1441760667392215e-06,
                0.9914225140794153,
                0.9999810748495047,
                1.0677026154551157e-06
            ],
            [
                0.9986749777137282,
                0.00023050665763198818,
                0.002472623113563854,
                0.9994472214562065,
                0.9997694932317078,
                0.0005527785350143831,
                0.9990889489828236,
                0.9997965729297487,
                0.9914225166058586,
                0.9982992775842163
            ],
            [
                0.9996646499308055,
                0.9982992774982371,
                0.9998911030647413,
                0.999290329542077,
                0.9999910603036964,
                0.9995121428247089,
                0.9994472212546711,
                0.9999151889788945,
                0.006692851964454459,
                0.9975273769249129
            ],
            [
                0.9890130588064417,
                0.004070137698907805,
                0.9982992775010042,
                0.000911050987135688,
                0.9999339478710692,
                0.9999810748472515,
                0.9999485577679469,
                0.9999417087275028,
                0.9993736658977084,
                0.18242552158390102
            ],
            [
                0.9993736658260779,
                0.9999869928684365,
                0.9990889489856847,
                0.999992110738355,
                0.0002305067661257446,
                0.9999957771670589,
                0.9999962733598274,
                0.9999974387168733,
                0.9995694430113512,
                0.996827316914518
            ],
            [
                0.996406396772467,
                0.993307148450375,
                0.9914225164078615,
                0.005911068084611368,
                0.182425528251267,
                0.9998766054251449,
                0.0006263340821068247,
                0.999841563783417,
                0.9995694430157853,
                0.9971990723721589
            ],
            [
                0.9999339478710692,
                0.9998415638398226,
                0.9902915229275657,
                0.9999898700078128,
                1.5534984953298217e-06,
                0.012431650281488585,
                0.9953904278740409,
                0.9999852610163513,
                0.9999646437492894,
                0.4378234991142019
            ],
            [
                0.9964063969600482,
                0.999981074858529,
                0.9999546021368187,
                0.999447221330468,
                0.9999945777816766,
                0.9959298619103607,
                0.9996646498504494,
                0.9999832985721828,
                0.9994472212581443,
                0.999876605410331
            ],
            [
                0.9999251537816921,
                0.999991060302633,
                0.18242552380635635,
                0.0011695100765738247,
                0.00048785711199666207,
                0.9988304898822213,
                0.99998987000419,
                0.0021827162932169827,
                0.9978172834740269,
                0.9971990732780477
            ],
            [
                0.9953904269681203,
                0.9998766054692957,
                0.9999339478631919,
                0.9999974387180947,
                0.0005527786743557053,
                0.9998766054693765,
                0.9988304896181294,
                0.9999930377404309,
                0.9990889485897513,
                0.9999957771670589
            ]
        ]
    },
    {
        "q_id": "10627_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999997617631468,
                0.9999997897565587,
                0.9999995549150011,
                0.9999996533672548,
                0.9999998555019962,
                0.9999997617629763,
                0.9999998724809267,
                0.9999998144608098,
                0.9999992661791944,
                0.9999994284995529
            ],
            [
                0.999999694097846,
                0.9999997617629764,
                0.9999998362623722,
                0.9999994956525918,
                0.9999998555019274,
                0.9999997897565587,
                0.9999997897567091,
                0.9999996533675028,
                0.9999997897566589,
                0.9999996533674202
            ],
            [
                0.9999996940978095,
                0.9999997897566089,
                0.9999999226557224,
                0.9999998555020135,
                0.99999976176309,
                0.9999996072137062,
                0.9999997897565587,
                0.9999999006881377,
                0.999999694097846,
                0.9999998144609423
            ],
            [
                0.9999996072136125,
                0.9999998362623138,
                0.9999999123575151,
                0.9999996533672549,
                0.9999999226557131,
                0.9999997897567341,
                0.9999996533672135,
                0.9999999226558423,
                0.9999998724810027,
                0.9999996940976636
            ],
            [
                0.999999653367379,
                0.9999998144609644,
                0.9999998555019962,
                0.9999997617630616,
                0.9999994284997574,
                0.9999998874647709,
                0.9999998362623332,
                0.9999997617629763,
                0.9999998724809267,
                0.9999998555019274
            ],
            [
                0.9999998724809115,
                0.9999998724809267,
                0.999999789756684,
                0.9999998555019618,
                0.9999996533672136,
                0.9999997617629764,
                0.9999996072136592,
                0.9999999123574628,
                0.9999999123575464,
                0.9999998362623332
            ],
            [
                0.9999997897566589,
                0.9999998874649318,
                0.9999982396563672,
                0.9999995549151072,
                0.9999997897565587,
                0.9999996533672136,
                0.9999995549151072,
                0.9999993524053562,
                0.9999996940978095,
                0.9999997897566589
            ],
            [
                0.9999998724808963,
                0.9999999226557408,
                0.9999996940977366,
                0.9999998724809267,
                0.9999998144609202,
                0.9999998144608981,
                0.999999814460854,
                0.999999855502048,
                0.9999997897565838,
                0.9999998362623723
            ],
            [
                0.9999996533674202,
                0.9999997300422225,
                0.9999998362622552,
                0.999999814460876,
                0.999999789756684,
                0.9999996533674614,
                0.9999998362622552,
                0.999999789756634,
                0.9999996940976271,
                0.9999997897566089
            ],
            [
                0.9999998362623332,
                0.9999998144608317,
                0.9999997897565838,
                0.999999730042126,
                0.9999996533675028,
                0.9999995549150011,
                0.9999998144608981,
                0.9999998362622747,
                0.9999997897565838,
                0.9999997897567091
            ],
            [
                0.9999998362622357,
                0.9999998144608317,
                0.9999998362623722,
                0.9999998555019962,
                0.9999997300421581,
                0.9999998874648917,
                0.9999998362622357,
                0.9999997617631752,
                0.9999998362623723,
                0.9999997897566589
            ],
            [
                0.999999855501979,
                0.999999855501979,
                0.9999998555019962,
                0.9999994956527121,
                0.9999996940977366,
                0.9999998724810027,
                0.9999998555019618,
                0.9999995549148419,
                0.9999998555019446,
                0.9999996072138465
            ],
            [
                0.9999994956525317,
                0.9999997617630332,
                0.9999997300422547,
                0.999999814460854,
                0.9999990577557432,
                0.9999997300422547,
                0.999999887464744,
                0.999999887464811,
                0.9999996940977001,
                0.9999998144609202
            ],
            [
                0.99999976176309,
                0.9999997300421903,
                0.9999998724810026,
                0.9999997897565587,
                0.999999887464905,
                0.9999999006880312,
                0.999999814460876,
                0.9999998362623138,
                0.9999998874647574,
                0.9999997897567341
            ],
            [
                0.9999996940977366,
                0.9999998555019618,
                0.9999998144608097,
                0.9999998144608097,
                0.999999887464744,
                0.9999998144608538,
                0.999999855502048,
                0.9999998362623722,
                0.9999996940977366,
                0.999999814460854
            ],
            [
                0.9999998555019791,
                0.9999996940977002,
                0.9999997897566589,
                0.9999999006880194,
                0.9999998555019446,
                0.9999999123574941,
                0.9999996533673788,
                0.9999998874649318,
                0.9999999006880549,
                0.999999814460876
            ],
            [
                0.9999998555019962,
                0.999999694097846,
                0.9999998362622746,
                0.9999996940978825,
                0.9999998144609202,
                0.9999997897565838,
                0.9999998362622746,
                0.9999998724808964,
                0.999999730042126,
                0.9999996533673375
            ],
            [
                0.9999997617631752,
                0.9999997897567342,
                0.9999998362623528,
                0.9999996940977366,
                0.999999814460876,
                0.9999996940978825,
                0.999999789756684,
                0.9999998144609202,
                0.999999814460876,
                0.9999998555020306
            ],
            [
                0.9999998362623528,
                0.9999997617631752,
                0.999999730042319,
                0.9999999317439383,
                0.9999995549151072,
                0.9999996940977366,
                0.9999998362623138,
                0.9999996940976271,
                0.9999998724808963,
                0.9999996533674202
            ],
            [
                0.9999998874647709,
                0.9999998555019274,
                0.9999997897565838,
                0.9999998144609202,
                0.9999997617631468,
                0.9999996940977002,
                0.9999998362622942,
                0.9999999226557961,
                0.9999996940978825,
                0.9999997897567091
            ],
            [
                0.999999730042126,
                0.9999996533673375,
                0.9999997897565838,
                0.9999996072138934,
                0.9999998362622746,
                0.9999996533675028,
                0.9999996940977366,
                0.9999995549149481,
                0.9999999226557592,
                0.9999996533674615
            ],
            [
                0.9999997897565587,
                0.9999997300421581,
                0.9999996940977002,
                0.9999996072137529,
                0.9999998362623723,
                0.9999997300422547,
                0.9999994956523514,
                0.9999998144608538,
                0.9999998555020135,
                0.9999998144609424
            ],
            [
                0.9999998144608097,
                0.9999999123574941,
                0.9999998724809267,
                0.9999996940978095,
                0.9999998724809571,
                0.9999998362623528,
                0.9999998362623528,
                0.9999998874647843,
                0.999999855502048,
                0.9999998724810027
            ],
            [
                0.9999997300421903,
                0.999999814460876,
                0.9999997897566089,
                0.9999997897565838,
                0.9999997617631468,
                0.9999999006880194,
                0.9999999006879957,
                0.9999998144609202,
                0.9999998144608983,
                0.999999855501979
            ],
            [
                0.9999997617629764,
                0.9999997897565587,
                0.9999996533672549,
                0.9999997300420939,
                0.9999996940977366,
                0.9999996533672549,
                0.9999997897565587,
                0.999999814460876,
                0.9999998724809571,
                0.999999789756634
            ],
            [
                0.9999998555019618,
                0.9999997897565587,
                0.9999998144608098,
                0.999999814460876,
                0.9999997617630049,
                0.9999997897566089,
                0.9999998362622552,
                0.9999996533673788,
                0.9999998555020307,
                0.9999998555019446
            ],
            [
                0.9999994956524716,
                0.9999997897566589,
                0.9999997300422869,
                0.9999996533675028,
                0.9999998144609423,
                0.9999997617629764,
                0.9999999123574836,
                0.9999996533672963,
                0.999999554914895,
                0.9999997617630616
            ],
            [
                0.9999997617629764,
                0.9999996072137998,
                0.9999998362622746,
                0.9999997617630332,
                0.9999996533674201,
                0.99999976176309,
                0.9999994956527121,
                0.9999996533675028,
                0.9999998144608981,
                0.9999996940976271
            ],
            [
                0.999999789756684,
                0.9999996940976272,
                0.9999997300421903,
                0.999999855502048,
                0.9999999226558423,
                0.9999998362622552,
                0.9999997300422547,
                0.9999996940978095,
                0.9999997897567341,
                0.9999996533674615
            ],
            [
                0.9999995549147889,
                0.9999996533674614,
                0.9999997617631468,
                0.9999998144608097,
                0.9999997300420937,
                0.9999998144608097,
                0.9999997300421903,
                0.9999995549150542,
                0.9999997897565838,
                0.9999997300421903
            ],
            [
                0.9999996072138465,
                0.999999814460854,
                0.9999998874648647,
                0.9999998555019618,
                0.9999999317440279,
                0.9999996940976272,
                0.9999997897567341,
                0.9999997897565587,
                0.9999998362622357,
                0.9999997300422869
            ],
            [
                0.9999996940978825,
                0.9999996072136125,
                0.9999996533672962,
                0.9999995549148419,
                0.9999998144609423,
                0.999999694097846,
                0.9999996072137998,
                0.9999996072137061,
                0.9999997300422869,
                0.9999998144608319
            ],
            [
                0.999999730042319,
                0.9999996533672548,
                0.999999694097773,
                0.999999653367379,
                0.9999996940976272,
                0.9999997897566089,
                0.9999997300420939,
                0.9999998362623138,
                0.9999998874649318,
                0.9999996940977366
            ],
            [
                0.9999999006880904,
                0.9999996940977002,
                0.999999887464811,
                0.9999996940978825,
                0.999999855502048,
                0.9999999123574419,
                0.9999999006880075,
                0.9999995549149481,
                0.999999789756634,
                0.9999997617631183
            ],
            [
                0.9999997897566589,
                0.9999998144609424,
                0.9999998874648514,
                0.9999996940978095,
                0.999999814460876,
                0.9999996940977731,
                0.999999554914895,
                0.99999976176309,
                0.9999996533674202,
                0.9999994956526519
            ],
            [
                0.9999996072138934,
                0.9999997617630616,
                0.9999996940978095,
                0.9999998144609202,
                0.9999992661786695,
                0.9999997617629764,
                0.9999997300422547,
                0.9999996072136125,
                0.9999996072138466,
                0.999999789756634
            ],
            [
                0.9999998144609423,
                0.999999789756634,
                0.9999997897565587,
                0.9999998362623138,
                0.9999999123574836,
                0.9999998144608317,
                0.999999855502048,
                0.9999998874647574,
                0.9999999123575359,
                0.9999998874648915
            ],
            [
                0.9999996533674202,
                0.9999998874647709,
                0.9999997617631183,
                0.9999997897566089,
                0.9999998555019446,
                0.9999998555019274,
                0.9999997897565587,
                0.9999998724808963,
                0.999999789756684,
                0.9999996533673375
            ],
            [
                0.9999997897567091,
                0.9999994956524715,
                0.9999995549149481,
                0.9999996940977366,
                0.9999999006879838,
                0.9999998362623528,
                0.9999998724809419,
                0.9999996940976272,
                0.9999997617630616,
                0.9999996533675028
            ],
            [
                0.9999997300422225,
                0.999999814460876,
                0.9999997300421581,
                0.9999997300423191,
                0.9999999123575882,
                0.9999997617630899,
                0.9999999226557224,
                0.9999998874647709,
                0.9999998724809571,
                0.9999997300421903
            ],
            [
                0.9999997617631752,
                0.9999997300421581,
                0.9999996533674201,
                0.9999999006880075,
                0.9999998874648648,
                0.9999997897567342,
                0.9999996072137998,
                0.9999999006880075,
                0.999999789756634,
                0.9999997617630616
            ],
            [
                0.9999996072137998,
                0.9999998724809267,
                0.9999996072139402,
                0.9999997300423191,
                0.9999996072136125,
                0.9999997897566589,
                0.9999998362623332,
                0.999999653367379,
                0.9999997897565838,
                0.9999997300423191
            ],
            [
                0.9999998362622942,
                0.9999998555019963,
                0.9999997300420939,
                0.9999997617629764,
                0.9999997617631468,
                0.9999995549147359,
                0.9999998874649051,
                0.9999997300422547,
                0.9999997617630332,
                0.9999998724809571
            ],
            [
                0.9999997617631752,
                0.9999997300422547,
                0.9999994956525318,
                0.9999996940978461,
                0.9999998362623723,
                0.9999998144608538,
                0.9999996940976636,
                0.9999997897566338,
                0.9999998144609423,
                0.9999996072137061
            ],
            [
                0.999999789756634,
                0.9999998362622942,
                0.9999998724809723,
                0.999999554914895,
                0.999999789756684,
                0.9999998362623138,
                0.999999789756684,
                0.9999998362622552,
                0.9999998555019962,
                0.9999997300422869
            ],
            [
                0.999999352405279,
                0.999999730042126,
                0.9999997300422547,
                0.9999996072137061,
                0.9999997897565838,
                0.9999996072136592,
                0.9999995549150011,
                0.9999997897565587,
                0.9999996533674615,
                0.9999996940976271
            ],
            [
                0.999999887464811,
                0.9999997897567342,
                0.9999998144609423,
                0.999999789756684,
                0.9999998874647709,
                0.9999999006879957,
                0.999999855501979,
                0.9999998724809267,
                0.9999998362622552,
                0.9999999006880549
            ],
            [
                0.999999814460876,
                0.9999998362622357,
                0.9999996940978825,
                0.9999998874648648,
                0.9999998724809419,
                0.9999997897565838,
                0.9999997617631753,
                0.9999996940977731,
                0.9999996940978095,
                0.9999998144608319
            ],
            [
                0.9999998144608098,
                0.9999998874648379,
                0.9999998874648648,
                0.9999999317440116,
                0.9999998874647709,
                0.9999998555019618,
                0.999999922655833,
                0.99999992265575,
                0.9999999006880075,
                0.999999730042319
            ],
            [
                0.9999999006880312,
                0.9999998874648379,
                0.9999997300422869,
                0.9999998874647307,
                0.999999694097846,
                0.9999995549151072,
                0.9999999226557131,
                0.9999999123575045,
                0.9999999006879957,
                0.9999998874648379
            ],
            [
                0.9999996940976636,
                0.9999999006881377,
                0.9999996533674614,
                0.9999998724809571,
                0.9999998555019618,
                0.9999997300422225,
                0.9999997897567341,
                0.9999998555019274,
                0.9999998362623332,
                0.9999998555019962
            ],
            [
                0.9999998555019618,
                0.9999998724809723,
                0.9999997617630899,
                0.9999998555019274,
                0.9999996072137529,
                0.9999994956524114,
                0.9999998724808964,
                0.9999998362622942,
                0.9999998362622942,
                0.9999996940977002
            ],
            [
                0.999999789756634,
                0.9999996940976272,
                0.9999996940978825,
                0.999999789756634,
                0.9999996533673375,
                0.9999996072138934,
                0.9999996940976272,
                0.9999997617630332,
                0.9999996533672136,
                0.9999996940976272
            ],
            [
                0.9999996072138934,
                0.9999996940976272,
                0.9999995549147889,
                0.9999995549148419,
                0.9999995549148419,
                0.9999997897565587,
                0.9999991684721706,
                0.9999997300420937,
                0.9999997300420937,
                0.9999994956527722
            ],
            [
                0.999999814460876,
                0.9999998555020307,
                0.9999996940978095,
                0.999999814460876,
                0.9999999006879838,
                0.9999997300420937,
                0.9999998144608981,
                0.999999887464811,
                0.9999997897567091,
                0.9999998724810027
            ],
            [
                0.9999999123575777,
                0.9999999123574942,
                0.9999998555020307,
                0.9999999123574628,
                0.9999998362622552,
                0.9999998144608097,
                0.9999998144608981,
                0.9999998555019274,
                0.9999998724809419,
                0.9999998874648781
            ],
            [
                0.9999994284996893,
                0.9999996072137529,
                0.9999998362623332,
                0.9999994956524114,
                0.9999998362623528,
                0.9999998555020306,
                0.9999999006881377,
                0.999999814460876,
                0.9999999123575359,
                0.999999730042126
            ],
            [
                0.9999998362622943,
                0.99999976176309,
                0.9999997897566589,
                0.9999997617630616,
                0.9999998874649184,
                0.9999998555020135,
                0.9999993524054334,
                0.9999998874647843,
                0.9999997617631183,
                0.9999999006881259
            ],
            [
                0.9999998144609644,
                0.9999999123575986,
                0.999999694097846,
                0.9999997617630332,
                0.99999976176309,
                0.999999939764215,
                0.9999999123575046,
                0.9999998362622746,
                0.9999998144609424,
                0.999999855502048
            ],
            [
                0.9999997300423191,
                0.9999999123575568,
                0.9999996533674202,
                0.9999999006881141,
                0.999999814460876,
                0.9999997300422225,
                0.9999998724809116,
                0.99999976176309,
                0.9999997617631469,
                0.9999997300421903
            ],
            [
                0.9999998724809116,
                0.999999814460854,
                0.9999997617630048,
                0.9999998362622747,
                0.9999997617631184,
                0.9999998362623332,
                0.9999997617630048,
                0.9999998144608319,
                0.999999855501979,
                0.9999997897566089
            ],
            [
                0.9999999123574836,
                0.9999999006879957,
                0.9999998724809116,
                0.9999998362622552,
                0.9999999397642222,
                0.9999999123574523,
                0.9999998144608538,
                0.9999995549151072,
                0.9999998724809115,
                0.9999996940977002
            ],
            [
                0.9999998555020135,
                0.9999999006879957,
                0.9999998555020135,
                0.9999998874648514,
                0.9999996072137061,
                0.9999999006880075,
                0.9999999006879721,
                0.9999997617630616,
                0.9999998724809571,
                0.9999998144609645
            ],
            [
                0.9999996072139402,
                0.9999997617631184,
                0.9999997617630332,
                0.9999996940977731,
                0.9999997897567341,
                0.9999997617631183,
                0.9999997617630048,
                0.9999998874648379,
                0.9999998362622943,
                0.9999998144609202
            ],
            [
                0.9999998874647307,
                0.9999997617631469,
                0.9999999006881377,
                0.9999999123574628,
                0.9999999123574628,
                0.9999999123574942,
                0.999999789756684,
                0.9999999226558238,
                0.9999998362623528,
                0.9999999226558238
            ],
            [
                0.9999998144609644,
                0.9999996940976272,
                0.9999996940977731,
                0.9999998362622552,
                0.9999998144608097,
                0.9999996533675028,
                0.9999996533674615,
                0.999999814460876,
                0.9999998144609423,
                0.9999998362622747
            ],
            [
                0.9999998724808964,
                0.9999996533673375,
                0.9999999006880904,
                0.9999998362622552,
                0.9999997897566589,
                0.9999998144608317,
                0.9999996533673375,
                0.9999997897566589,
                0.9999998362622552,
                0.9999998724809267
            ],
            [
                0.9999997897567341,
                0.9999999226558238,
                0.9999996940976271,
                0.9999996940976636,
                0.9999997300422869,
                0.9999998362623138,
                0.9999998874648514,
                0.9999998724808963,
                0.9999998362622357,
                0.9999998144609645
            ],
            [
                0.9999998362623137,
                0.9999989322970027,
                0.9999998144608981,
                0.9999997897567091,
                0.9999998144608981,
                0.999999814460876,
                0.9999996072137061,
                0.999999789756684,
                0.999999814460876,
                0.9999998362623722
            ],
            [
                0.9999997300420937,
                0.9999997897565587,
                0.999999814460876,
                0.9999996940976636,
                0.9999997300422869,
                0.9999998874649051,
                0.9999997617629763,
                0.9999998144608097,
                0.9999998144608098,
                0.9999998362623528
            ],
            [
                0.9999996940976271,
                0.9999996940978095,
                0.9999997300420939,
                0.9999997300421903,
                0.9999997300421903,
                0.9999996940976271,
                0.9999996940978095,
                0.999999694097846,
                0.9999996072136592,
                0.9999997300420937
            ],
            [
                0.999999855502048,
                0.999999694097846,
                0.999999730042126,
                0.9999996533673788,
                0.999999730042126,
                0.9999992661788446,
                0.9999998724810027,
                0.999999694097846,
                0.9999996533673375,
                0.9999996072138934
            ],
            [
                0.9999998874647307,
                0.9999998362622943,
                0.9999998362622943,
                0.999999653367379,
                0.9999996533675028,
                0.9999996940978095,
                0.9999998144608317,
                0.9999996940977366,
                0.9999998144608317,
                0.999999730042126
            ],
            [
                0.9999998362623723,
                0.9999998724809116,
                0.9999993524049702,
                0.999999855502048,
                0.9999998362622942,
                0.9999998555019618,
                0.9999998555020135,
                0.9999998555019618,
                0.9999998144608097,
                0.9999996072137998
            ],
            [
                0.9999998362623528,
                0.9999997897566089,
                0.9999997300422225,
                0.9999997300422225,
                0.9999997300420937,
                0.9999999123574941,
                0.999999694097846,
                0.9999996940977002,
                0.999999789756684,
                0.9999996533674615
            ],
            [
                0.9999997897565838,
                0.9999998724809571,
                0.9999996940976636,
                0.9999997897567341,
                0.9999994956523512,
                0.9999996940978825,
                0.9999996072138934,
                0.9999997897565587,
                0.9999998874647574,
                0.9999997300422225
            ],
            [
                0.9999996533672135,
                0.9999996940977002,
                0.9999994956525918,
                0.9999997897567091,
                0.999999730042319,
                0.999999730042319,
                0.9999999006880075,
                0.9999997300421903,
                0.9999995549147358,
                0.9999996940978095
            ],
            [
                0.9999997897566338,
                0.9999998362622942,
                0.9999998144609202,
                0.9999996533672136,
                0.9999997300421903,
                0.9999998874649051,
                0.9999998362623723,
                0.9999997300421903,
                0.9999996072137998,
                0.9999997617630332
            ],
            [
                0.9999995549148419,
                0.9999998362623528,
                0.9999998144608981,
                0.9999998144608538,
                0.9999996072136125,
                0.9999999006880549,
                0.9999996533674202,
                0.9999998555019274,
                0.9999997617629764,
                0.9999996533675028
            ],
            [
                0.9999997300423191,
                0.9999998362623137,
                0.9999997617630332,
                0.9999998144609423,
                0.9999998874647842,
                0.9999998144609645,
                0.9999997617631468,
                0.9999998144609645,
                0.9999996940976636,
                0.9999998144608983
            ],
            [
                0.9999998144608538,
                0.9999998555019618,
                0.9999995549149481,
                0.9999997617629764,
                0.9999997617630048,
                0.9999997897566089,
                0.9999996533675028,
                0.9999998144609202,
                0.9999998362622552,
                0.999999814460876
            ],
            [
                0.999999554914895,
                0.9999996533672962,
                0.9999998874647976,
                0.9999997897567342,
                0.9999994284996211,
                0.9999996533672136,
                0.9999999006880312,
                0.9999996072136593,
                0.9999996940978825,
                0.9999996940977002
            ],
            [
                0.9999996533672962,
                0.9999994956527721,
                0.9999997617630332,
                0.9999996072137998,
                0.999999789756684,
                0.9999996940978825,
                0.999999789756684,
                0.9999997617631752,
                0.999999352405279,
                0.999999352405279
            ],
            [
                0.9999997300422225,
                0.9999996533674202,
                0.9999998362622942,
                0.9999996940977731,
                0.9999998874647977,
                0.9999998724809116,
                0.999999789756684,
                0.9999995549148419,
                0.9999998144609202,
                0.9999997300420937
            ],
            [
                0.9999998724810027,
                0.999999789756684,
                0.9999998555019274,
                0.9999998555019962,
                0.9999996072136125,
                0.9999997897567342,
                0.9999996533672549,
                0.999999789756684,
                0.9999997897565587,
                0.9999998555019619
            ],
            [
                0.9999997617630049,
                0.9999998144608981,
                0.9999998874647842,
                0.9999998724809571,
                0.9999997897565838,
                0.9999998144608981,
                0.9999996940978825,
                0.9999995549148419,
                0.9999998144608981,
                0.9999997617630899
            ],
            [
                0.999999855502048,
                0.9999998362623137,
                0.9999998724809723,
                0.9999998555019619,
                0.9999998724808964,
                0.9999998144608097,
                0.9999996072137061,
                0.9999999397642725,
                0.9999999123575987,
                0.9999997617631184
            ],
            [
                0.9999999006879721,
                0.999999887464811,
                0.999999789756634,
                0.9999997300422547,
                0.9999995549148419,
                0.9999998362622943,
                0.9999997617629763,
                0.9999997300423191,
                0.9999994956524114,
                0.9999996940977731
            ],
            [
                0.9999997617631468,
                0.9999997617631752,
                0.9999997897566589,
                0.9999997897566589,
                0.9999998362622943,
                0.9999996533672136,
                0.9999998362622552,
                0.9999998724809115,
                0.9999999226558146,
                0.9999997617630332
            ],
            [
                0.999999789756684,
                0.9999996533672548,
                0.9999997897567091,
                0.9999997617630616,
                0.999999855501979,
                0.9999997617631752,
                0.9999998144608317,
                0.9999998144608097,
                0.9999998144608981,
                0.9999998874647977
            ],
            [
                0.9999998724810027,
                0.999999554914895,
                0.9999998724810027,
                0.9999998724809571,
                0.9999996072139402,
                0.9999997617631469,
                0.9999999123574836,
                0.9999996940976636,
                0.9999997617630332,
                0.9999996940978461
            ],
            [
                0.9999997897566589,
                0.9999998555019446,
                0.9999998144609203,
                0.9999998144609424,
                0.9999998555020307,
                0.9999999006880194,
                0.9999997617630616,
                0.9999997617631183,
                0.9999999006880194,
                0.9999998144608983
            ],
            [
                0.9999996533674615,
                0.9999997617629764,
                0.99999976176309,
                0.9999998555019618,
                0.9999997300422225,
                0.9999998874647976,
                0.999999730042126,
                0.9999997897567091,
                0.9999997300423191,
                0.9999994956526519
            ],
            [
                0.99999976176309,
                0.9999995549151073,
                0.9999997300422547,
                0.9999998144609423,
                0.999999554914895,
                0.9999998874648917,
                0.9999998874648648,
                0.9999998144609423,
                0.9999997617630048,
                0.9999997617630049
            ],
            [
                0.999999789756634,
                0.9999996072137998,
                0.9999997897567091,
                0.9999997300422547,
                0.999999789756634,
                0.9999996533672549,
                0.9999997897566089,
                0.9999999006880668,
                0.9999998362623332,
                0.999999855502048
            ],
            [
                0.9999998724809875,
                0.9999998362623722,
                0.9999998555020307,
                0.9999997897566089,
                0.9999997617631753,
                0.999999855502048,
                0.999999495652712,
                0.9999998724809571,
                0.9999998724809116,
                0.9999997897567091
            ],
            [
                0.9999997617630332,
                0.9999999123575881,
                0.999999789756684,
                0.999999554914895,
                0.9999996072138466,
                0.9999997617630049,
                0.9999998144609645,
                0.9999998362622552,
                0.9999999006881496,
                0.9999998724809115
            ],
            [
                0.9999999226558146,
                0.9999999226557316,
                0.9999998874647976,
                0.9999998724809116,
                0.999999789756684,
                0.9999998362623528,
                0.9999998362623528,
                0.9999999123575151,
                0.9999999226557685,
                0.9999998555019446
            ],
            [
                0.9999996940977731,
                0.999999730042126,
                0.9999998362622357,
                0.9999995549151072,
                0.9999998555019274,
                0.9999998555020134,
                0.9999996072138466,
                0.9999998144608317,
                0.9999998144608981,
                0.9999998724810026
            ],
            [
                0.999999730042126,
                0.9999997617631469,
                0.9999997300421903,
                0.9999998362623723,
                0.9999999123575672,
                0.9999998362622746,
                0.9999998362623723,
                0.9999997300421903,
                0.9999997300422869,
                0.9999998724809723
            ],
            [
                0.9999998724809116,
                0.9999998874648379,
                0.9999996940976636,
                0.9999998724808963,
                0.9999997617631184,
                0.9999999123575464,
                0.9999997300421581,
                0.9999998874649318,
                0.9999998362623332,
                0.999999900688043
            ],
            [
                0.9999998724809723,
                0.9999999123575777,
                0.9999998362623332,
                0.9999998144609423,
                0.9999999123575464,
                0.9999998555019274,
                0.9999997617630899,
                0.9999998555020306,
                0.9999998724809571,
                0.9999998874647976
            ],
            [
                0.9999996072139402,
                0.999999694097846,
                0.9999997300422225,
                0.9999999006879957,
                0.9999997897566589,
                0.999999495652652,
                0.999999887464744,
                0.9999997897566589,
                0.9999996533675028,
                0.9999998144608097
            ],
            [
                0.9999995549148419,
                0.9999997897566589,
                0.9999998874649051,
                0.9999998555019618,
                0.9999998144609424,
                0.9999997897566338,
                0.9999997617630332,
                0.9999998144608319,
                0.9999999317439464,
                0.999999789756684
            ],
            [
                0.9999998362623723,
                0.9999998362623528,
                0.9999996533674615,
                0.9999997897566338,
                0.9999997897566589,
                0.9999997617630048,
                0.9999996072138934,
                0.9999997617629764,
                0.9999998724809115,
                0.9999996072136125
            ],
            [
                0.9999997300422225,
                0.9999997617631184,
                0.9999998362623528,
                0.9999997617629764,
                0.9999999006879721,
                0.9999996533672962,
                0.9999998362623137,
                0.9999998724809419,
                0.9999999006880075,
                0.9999998362623137
            ],
            [
                0.9999996072138934,
                0.9999994956523514,
                0.9999998555019618,
                0.9999996533673375,
                0.9999998874647709,
                0.9999999468421376,
                0.9999998555019274,
                0.999999653367379,
                0.9999996940978825,
                0.999999653367379
            ],
            [
                0.9999998874649318,
                0.9999996072137998,
                0.9999996072136592,
                0.9999997617631183,
                0.9999998555020135,
                0.9999996533674202,
                0.9999996533673375,
                0.9999997897567342,
                0.9999997897567342,
                0.9999995549151072
            ],
            [
                0.9999997617631753,
                0.9999997617630332,
                0.9999996940976271,
                0.9999997617629764,
                0.999999694097846,
                0.9999996072139402,
                0.9999997617630899,
                0.9999997300422547,
                0.9999998724809874,
                0.9999997617631183
            ],
            [
                0.9999997897567342,
                0.9999993524054335,
                0.9999998874648647,
                0.9999997617630048,
                0.9999996072136125,
                0.9999998362622357,
                0.9999998144608098,
                0.9999998555019618,
                0.9999998362622357,
                0.999999814460876
            ],
            [
                0.9999996533672135,
                0.9999997617631468,
                0.9999996072138466,
                0.9999997617631183,
                0.9999991684718732,
                0.999999352404893,
                0.9999990577552939,
                0.9999996072138934,
                0.9999996072138465,
                0.9999998555020307
            ],
            [
                0.9999999006880312,
                0.9999999123575674,
                0.999999814460854,
                0.9999998362623722,
                0.9999998144608097,
                0.9999997300422547,
                0.9999998724809267,
                0.999999653367379,
                0.999999855502048,
                0.9999997300422869
            ],
            [
                0.9999997897565838,
                0.9999996533673788,
                0.9999996940978095,
                0.9999997300422869,
                0.9999998144609202,
                0.9999999006881141,
                0.999999730042126,
                0.9999996940976271,
                0.9999998362622942,
                0.9999996533672549
            ],
            [
                0.9999996072137529,
                0.9999999468421312,
                0.9999997300422869,
                0.9999998724810027,
                0.9999998362623137,
                0.9999998144608981,
                0.9999998362623332,
                0.9999997897565838,
                0.9999996533673375,
                0.999999814460854
            ],
            [
                0.9999998362623332,
                0.9999998362622942,
                0.9999996940976272,
                0.9999998555019618,
                0.999999855502048,
                0.9999997300421581,
                0.9999998144609645,
                0.9999996940977366,
                0.9999998724809571,
                0.9999996072137998
            ],
            [
                0.9999997617630616,
                0.9999997897567091,
                0.9999997617630616,
                0.9999996533672136,
                0.9999996940978461,
                0.9999997897566089,
                0.9999999006879721,
                0.9999998724809267,
                0.9999997300421903,
                0.9999997617631752
            ],
            [
                0.9999997300420937,
                0.9999995549147359,
                0.9999998555019446,
                0.9999998362623723,
                0.9999997897567342,
                0.9999998555020135,
                0.9999994956525317,
                0.9999998144608981,
                0.999999814460854,
                0.9999997300421903
            ],
            [
                0.999999789756634,
                0.9999996533674202,
                0.9999998362623723,
                0.9999998144608317,
                0.9999997617631184,
                0.9999998555019446,
                0.999999554914895,
                0.9999996072136125,
                0.9999998555019274,
                0.999999694097773
            ],
            [
                0.9999999006881378,
                0.9999999006879957,
                0.9999999006881022,
                0.9999998362623332,
                0.999999887464744,
                0.999999814460876,
                0.9999996940978825,
                0.9999999006881141,
                0.9999998144609423,
                0.9999999006880904
            ],
            [
                0.9999998724809115,
                0.9999997897565838,
                0.9999998555019274,
                0.9999998362622552,
                0.9999998144608097,
                0.9999997617630332,
                0.9999998362623723,
                0.9999998874649051,
                0.9999998362623723,
                0.9999996533674614
            ],
            [
                0.9999997897565587,
                0.9999998555019618,
                0.9999998555019791,
                0.9999997897566589,
                0.9999998362623332,
                0.999999730042319,
                0.9999997617631469,
                0.9999998144609423,
                0.9999998724808964,
                0.99999976176309
            ],
            [
                0.9999997897565587,
                0.9999998144609645,
                0.9999996940976636,
                0.9999997897566589,
                0.9999996072136593,
                0.9999996533672962,
                0.999999730042319,
                0.9999995549147889,
                0.999999789756634,
                0.9999996072137061
            ],
            [
                0.9999997617631183,
                0.9999999123575359,
                0.9999995549149481,
                0.9999999226557592,
                0.9999999226557408,
                0.9999998362623722,
                0.999999855501979,
                0.999999789756684,
                0.9999997897566089,
                0.9999998144608317
            ],
            [
                0.9999997897566589,
                0.9999997617630048,
                0.9999998874647976,
                0.9999998724808963,
                0.999999730042126,
                0.9999996533672549,
                0.9999996533674202,
                0.9999997897565587,
                0.9999998724808963,
                0.9999996533672136
            ],
            [
                0.9999998724809571,
                0.9999998555020134,
                0.9999998144608319,
                0.9999996940977731,
                0.9999996940976636,
                0.9999996940978461,
                0.9999999123575881,
                0.9999998144608317,
                0.9999998555019446,
                0.9999996072136592
            ],
            [
                0.9999997300421903,
                0.9999999123574628,
                0.9999998144608981,
                0.9999997617629763,
                0.9999999006881022,
                0.9999996533674614,
                0.999999814460854,
                0.999999900687972,
                0.9999998874647306,
                0.9999998362623528
            ],
            [
                0.9999995549148419,
                0.9999998144609202,
                0.9999998144609645,
                0.9999997897565587,
                0.9999995549151073,
                0.9999997617631184,
                0.9999997300422869,
                0.9999997300422869,
                0.9999998144608317,
                0.9999998144608317
            ],
            [
                0.999999730042319,
                0.9999998724809115,
                0.9999996072137529,
                0.9999997617629763,
                0.999999789756684,
                0.9999996533673788,
                0.99999992265575,
                0.9999994284994167,
                0.9999996533673375,
                0.9999997300422225
            ]
        ]
    },
    {
        "q_id": "10488_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            104,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            14,
            89,
            103,
            105,
            106,
            110
        ],
        "rewards": [
            [
                0.9999996072137529,
                0.9999996072136592,
                0.9999996072139402,
                0.9999991684715758,
                0.9999994956525917,
                0.9999997617630332,
                0.9999996533672549,
                0.9999993524052018,
                0.9999996940978461,
                0.9999987901343165
            ],
            [
                0.9999990577552939,
                0.9999990577551815,
                0.9999990577551814,
                0.9999993524049703,
                0.9999993524049702,
                0.9999987901337396,
                0.9999997897567342,
                0.9999994956523514,
                0.9999994956527722,
                0.9999987901347491
            ],
            [
                0.9999995549150542,
                0.9999999006879721,
                0.9999996533674614,
                0.99999862904312,
                0.9999991684718732,
                0.9999986290431201,
                0.9999996533673375,
                0.9999984465016899,
                0.999999266178932,
                0.999999730042319
            ],
            [
                0.9999997300421581,
                0.9999980052700407,
                0.999999266178932,
                0.99999976176309,
                0.9999993524050473,
                0.9999996940977366,
                0.9999996072137998,
                0.9999986290429566,
                0.9999996072137061,
                0.9999994284996211
            ],
            [
                0.9999987901337396,
                0.999999266179107,
                0.9999994956526519,
                0.9999995549148419,
                0.999999057755743,
                0.999999694097846,
                0.9999993524051246,
                0.9999987901338838,
                0.9999995549148419,
                0.999999057755743
            ],
            [
                0.9999998362623722,
                0.9999997617630049,
                0.9999998362623722,
                0.999999814460876,
                0.9999998362622942,
                0.999999730042126,
                0.9999994284994167,
                0.9999998555019962,
                0.9999998555019618,
                0.9999997617631184
            ],
            [
                0.9999992661788445,
                0.9999996533672549,
                0.9999996940977731,
                0.9999984465022455,
                0.9999962733598275,
                0.9999994284992805,
                0.9999996533674614,
                0.9999993524048929,
                0.9999984465024306,
                0.9999992661788445
            ],
            [
                0.9999997617630332,
                0.9999992661786696,
                0.9999995549147889,
                0.999998239656367,
                0.9999990577552939,
                0.9999986290424663,
                0.999999352405279,
                0.9999997300422225,
                0.9999991684716749,
                0.9999986290423029
            ],
            [
                0.9999992661792819,
                0.999993855826131,
                0.999999653367379,
                0.9999996533673375,
                0.9999952149066462,
                0.9999996940976272,
                0.9999992661790196,
                0.9999994956527722,
                0.9999993524052018,
                0.9999991684722698
            ],
            [
                0.9999991684718732,
                0.9999996533673375,
                0.9999997617631469,
                0.9999995549149481,
                0.9999996940978825,
                0.9999990577552937,
                0.9999996940976636,
                0.9999989322968754,
                0.9999993524052018,
                0.9999996940976272
            ],
            [
                0.9999599363078239,
                0.9999957771660523,
                0.9999599363221718,
                0.9999957771660523,
                0.9999938558239335,
                0.9998601779263891,
                0.9999832985761679,
                0.9999756997534754,
                0.9999970976887068,
                0.9999967112497585
            ],
            [
                0.9999996072136125,
                0.999999694097846,
                0.9999996072136125,
                0.9999989322975118,
                0.9999987901343166,
                0.9999996940977002,
                0.9999990577555183,
                0.9999994956524716,
                0.9999989322975118,
                0.9999994956525318
            ],
            [
                0.9999993524051246,
                0.9999996072138465,
                0.9999967112517192,
                0.9999997617630048,
                0.9999984465026158,
                0.9999996533674615,
                0.9999996072138934,
                0.9999994284994168,
                0.99999976176309,
                0.9999998724810027
            ],
            [
                0.9999996533674202,
                0.9999952149066461,
                0.9999980052698029,
                0.9999994284997573,
                0.9999991684722698,
                0.9999987901343165,
                0.9999996533672549,
                0.9999930377404305,
                0.9999996072136125,
                0.999999352405279
            ],
            [
                0.9999986290432834,
                0.9999980052707541,
                0.9999993524054334,
                0.9999996072138934,
                0.9999994956523514,
                0.9999962733602716,
                0.9999952149032236,
                0.9999984465022455,
                0.9999997897567091,
                0.9999989322968753
            ],
            [
                0.9999910603036963,
                0.9999993524053562,
                0.9999996533672135,
                0.9999987901347491,
                0.9999974387184,
                0.9999994956526519,
                0.9999910603004994,
                0.99999893229713,
                0.9999993524051246,
                0.9999995549151072
            ],
            [
                0.9999986290426298,
                0.9999993524050474,
                0.9999996072139402,
                0.9999995549148419,
                0.9999996533674201,
                0.9999989322966208,
                0.9999997300422225,
                0.9999996072139402,
                0.9999994284997573,
                0.9999997300422225
            ],
            [
                0.9999996940977002,
                0.999999495652712,
                0.9999996940976636,
                0.9999996940977001,
                0.9999982396561572,
                0.9999998362623332,
                0.9999992661790195,
                0.9999994284992805,
                0.9999994956526519,
                0.9999993524052019
            ],
            [
                0.9999997897565587,
                0.9999997897565838,
                0.9999995549148419,
                0.9999993524054335,
                0.9999998144609645,
                0.9999997300423191,
                0.9999990577557432,
                0.9999994956524715,
                0.9999995549150011,
                0.999999554914895
            ],
            [
                0.9999974387177893,
                0.9999984465024306,
                0.9999989322968754,
                0.999999814460876,
                0.9999980052707541,
                0.9999996940978461,
                0.9999996072137061,
                0.9999993524052019,
                0.9999993524049702,
                0.9999998555019618
            ],
            [
                0.9999997300422225,
                0.9999993524051246,
                0.9999986290431201,
                0.9999989322975119,
                0.999998005269803,
                0.9999996533674201,
                0.9999995549151072,
                0.9999994284995529,
                0.9999989322966208,
                0.9999996940977001
            ],
            [
                0.9999991684717741,
                0.9999997897565838,
                0.9999996072137998,
                0.9999993524050474,
                0.9999994956525918,
                0.9999977396748938,
                0.9999996533672962,
                0.9999982396567868,
                0.9999994956526519,
                0.9999977396765105
            ],
            [
                0.9999994284997573,
                0.9999989322972573,
                0.9999967112501508,
                0.9999995549148419,
                0.9999996072138465,
                0.9999991684719723,
                0.9999993524051246,
                0.9999989322968753,
                0.9999885212318744,
                0.9999996940976272
            ],
            [
                0.9999994956524716,
                0.999996273358939,
                0.9999992661792819,
                0.9999989322966208,
                0.9999987901338838,
                0.999997097688361,
                0.9999987901343165,
                0.9999994956527721,
                0.9999989322975118,
                0.9999984465026158
            ],
            [
                0.9999996940978095,
                0.9999997300421581,
                0.9999993524051246,
                0.9999999006879721,
                0.9999997617631752,
                0.9999996072136592,
                0.9999997617630049,
                0.9999998362623528,
                0.9999998724810027,
                0.9999998144608319
            ],
            [
                0.9999993524052019,
                0.9999991684720715,
                0.9999997300422547,
                0.9999998555019274,
                0.9999995549149481,
                0.9999996533672962,
                0.9999998724809723,
                0.999999057755069,
                0.9999996072137529,
                0.9999996533672962
            ],
            [
                0.9999999006881259,
                0.9999998724809267,
                0.9999998144608097,
                0.9999997897566089,
                0.9999996940977366,
                0.9999996940976636,
                0.9999995549147358,
                0.9999998362622552,
                0.9999998144609645,
                0.9999998144609424
            ],
            [
                0.9999991684716749,
                0.9999994956525318,
                0.9999994284996211,
                0.9999996533674615,
                0.9999993524049702,
                0.9999996072138934,
                0.9999994284996211,
                0.9999996072138934,
                0.9999997897566338,
                0.9999987901337396
            ],
            [
                0.9999996533672962,
                0.9999998362623722,
                0.9999996072137061,
                0.9999995549147359,
                0.9999996072137061,
                0.9999998362623332,
                0.9999997617630616,
                0.9999998874647709,
                0.9999994284997573,
                0.9999997300422225
            ],
            [
                0.9999987901347492,
                0.9999986290427931,
                0.9999996533675028,
                0.9999994284995529,
                0.9999994956525317,
                0.9999996533672136,
                0.9999995549149481,
                0.9999982396567867,
                0.999999428499553,
                0.9999996940977366
            ],
            [
                0.9999998144608097,
                0.9999995549150542,
                0.9999989322967482,
                0.9999967112517187,
                0.9999996940978461,
                0.9999994956524114,
                0.9999997300420937,
                0.999999352405279,
                0.9999996072137061,
                0.9999990577555183
            ],
            [
                0.9999986290427931,
                0.9999957771675624,
                0.9999990577556308,
                0.9999977396751633,
                0.9999970976873229,
                0.9999996533672549,
                0.9999995549150011,
                0.9999995549150542,
                0.999999694097846,
                0.9999984465016899
            ],
            [
                0.999998239656367,
                0.9999997300421903,
                0.9999996533673375,
                0.999999789756684,
                0.999999352405279,
                0.9999994284997573,
                0.9999991684722698,
                0.9999996533672549,
                0.9999998555019962,
                0.9999982396574163
            ],
            [
                0.9999996072138465,
                0.9999994284994849,
                0.9999984465020603,
                0.9999997897566089,
                0.9999997617629764,
                0.9999996533674201,
                0.999998446502801,
                0.9999999006879838,
                0.999999352404893,
                0.9999994284994167
            ],
            [
                0.9999992661792819,
                0.9999996533672549,
                0.9999997300422868,
                0.9999996072137061,
                0.9999996533673375,
                0.99999893229713,
                0.9999996533674615,
                0.9999992661791944,
                0.9999994284996211,
                0.9999996072136592
            ],
            [
                0.999997097688361,
                0.9999687980997966,
                0.9999687980960733,
                0.9999832985761683,
                0.9999785550567043,
                0.9999724643121954,
                0.9999921107402365,
                0.9993736659010239,
                0.9999967112497585,
                0.9999898700126444
            ],
            [
                0.9999997300422869,
                0.9999996072139402,
                0.9999996072139402,
                0.9999997617630616,
                0.999999168471576,
                0.9999996940978461,
                0.999999352405279,
                0.9999997617629763,
                0.9999995549150011,
                0.9999997617630616
            ],
            [
                0.999989870005398,
                0.9999970976873229,
                0.9999997300422868,
                0.9999995549150542,
                0.9999997300421903,
                0.9999987901338838,
                0.9999998144608981,
                0.9999957771680656,
                0.9999994284996893,
                0.9999967112493664
            ],
            [
                0.9999997897567341,
                0.9999996533674614,
                0.9999997897565587,
                0.9999986290432834,
                0.9999995549151073,
                0.9999995549149481,
                0.9999990577552937,
                0.9999996940978095,
                0.9999996940978461,
                0.9999996533673375
            ],
            [
                0.9999998144609202,
                0.9999982396563669,
                0.9999984465015047,
                0.9999982396561572,
                0.999999266179282,
                0.9999984465016899,
                0.9999986290424664,
                0.9999991684721706,
                0.9999980052709919,
                0.9999994956524114
            ],
            [
                0.9991959142418958,
                0.9999251537995403,
                0.9999417087553356,
                0.9999646437366505,
                0.9999646437408649,
                0.9997694933122868,
                0.9998601778592866,
                0.999796573099902,
                0.9997694931753348,
                0.009708476535197718
            ],
            [
                0.9999987901341723,
                0.9999974387171787,
                0.9999967112497584,
                0.9999957771645419,
                0.9999997897566089,
                0.9999957771665555,
                0.9999992661792819,
                0.9999977396748938,
                0.9999997617629764,
                0.9999992661790196
            ],
            [
                0.9999921107355336,
                0.9999970976869769,
                0.9999977396759718,
                0.9999991684722698,
                0.9999952149043648,
                0.9999993524051246,
                0.9999990577554061,
                0.9999980052709919,
                0.9999921107374147,
                0.9999990577549568
            ],
            [
                0.9999997300420937,
                0.9999998724809874,
                0.9999995549150542,
                0.9999996940977001,
                0.9999994284997573,
                0.9999996533673375,
                0.9999957771650453,
                0.9999982396572065,
                0.9999994284993485,
                0.9999980052702786
            ],
            [
                0.9999994284996211,
                0.9999990577552937,
                0.9999945777784449,
                0.9999974387168733,
                0.9999998362623528,
                0.9999992661789321,
                0.999999266179107,
                0.9999967112497584,
                0.9999991684717741,
                0.9999990577551815
            ],
            [
                0.9999970976873229,
                0.9999994956527721,
                0.9999997300420937,
                0.9999997897565838,
                0.9999977396759716,
                0.9999994284996893,
                0.9999989322970027,
                0.9999980052707541,
                0.9999996072138465,
                0.9999994284993485
            ],
            [
                0.9999967112513266,
                0.9999974387177893,
                0.9999984465022455,
                0.9999974387177892,
                0.9999977396751633,
                0.9999987901338838,
                0.9999986290432834,
                0.9999910603026304,
                0.9999994284996211,
                0.9999990577551814
            ],
            [
                0.9999957771680658,
                0.9999997300422868,
                0.9999987901341723,
                0.9999974387180947,
                0.9999987901341723,
                0.9999993524054335,
                0.9999997897566089,
                0.9999957771660521,
                0.9999994284995529,
                0.9999997617630616
            ],
            [
                0.9999998555019618,
                0.9999998144608319,
                0.9999987901346049,
                0.9999999006880668,
                0.9999998144608317,
                0.9999993524052019,
                0.9999997300422868,
                0.9999997300422547,
                0.99999976176309,
                0.9999997617630899
            ],
            [
                0.9999998362623722,
                0.9999994284994167,
                0.9999993524053562,
                0.9999998144609645,
                0.9999977396762411,
                0.9999992661791944,
                0.9999996533675028,
                0.999997438716568,
                0.9999999123574732,
                0.9999989322967482
            ],
            [
                0.9999974387168733,
                0.9999990577551814,
                0.999999266179107,
                0.9999989322972572,
                0.9999974387168733,
                0.9999982396559473,
                0.9999945777810302,
                0.9999994956527721,
                0.9999785550464746,
                0.9999957771650453
            ],
            [
                0.9999986290424664,
                0.9999994284997573,
                0.9999994956524716,
                0.9999987901337396,
                0.9999991684715758,
                0.9999984465018751,
                0.9999994284996891,
                0.9999992661791071,
                0.9999991684718732,
                0.9999994956525918
            ],
            [
                0.9999885212359796,
                0.9999930377437503,
                0.9999980052693274,
                0.999999266178932,
                0.9999724643023389,
                0.9999957771655487,
                0.9999967112517187,
                0.9999989322967481,
                0.9999992661790195,
                0.9999990577549568
            ],
            [
                0.9999998362622747,
                0.9999967112513268,
                0.9999997897565587,
                0.9999997617630617,
                0.9999996072138465,
                0.9999994284997573,
                0.999999730042319,
                0.9999974387171787,
                0.9999996940977366,
                0.9999998555020306
            ],
            [
                0.9999996533673788,
                0.9999992661787571,
                0.9999995549150011,
                0.999999554914789,
                0.9999996072139402,
                0.9999991684722698,
                0.999999352404893,
                0.9999994956523514,
                0.9999989322975118,
                0.9999992661791944
            ],
            [
                0.9999974387184,
                0.9999992661786695,
                0.99999976176309,
                0.9999995549151073,
                0.9999996533673788,
                0.999999730042319,
                0.9999994956525317,
                0.9999991684716749,
                0.9999994956525317,
                0.9999990577555183
            ],
            [
                0.9999994284995529,
                0.9999996940977002,
                0.9999997300421581,
                0.9999991684717741,
                0.9999997300422225,
                0.9999993524054335,
                0.9999986290427932,
                0.9999998724809571,
                0.9999991684718732,
                0.9999986290431201
            ],
            [
                0.9999996072137529,
                0.9999996533674614,
                0.9999996072136125,
                0.9999993524052018,
                0.9999995549150542,
                0.9999991684720715,
                0.9999991684722697,
                0.9999997617630048,
                0.9999995549147889,
                0.9999990577554061
            ],
            [
                0.9999967112493665,
                0.999998005269803,
                0.999999266178757,
                0.9999991684715758,
                0.9999996072138934,
                0.9999996940976272,
                0.9999996940976272,
                0.999998239656367,
                0.9999997897567091,
                0.9999986290423029
            ],
            [
                0.9999994956527722,
                0.9999982396569966,
                0.9999982396567867,
                0.9999952149032239,
                0.9999996072138466,
                0.999998446502801,
                0.9999980052700408,
                0.9999980052707542,
                0.999999266178932,
                0.9999980052700407
            ],
            [
                0.9999990577552937,
                0.9999993524052018,
                0.999999266178757,
                0.9999986290421394,
                0.9999957771675622,
                0.9999991684719723,
                0.9999984465015047,
                0.9999980052702786,
                0.9999993524053562,
                0.9999993524051246
            ],
            [
                0.9999980052702785,
                0.9999995549151072,
                0.9999996940978461,
                0.9999994284995529,
                0.9999997897566589,
                0.9999994284997573,
                0.9999998144608317,
                0.9999970976887068,
                0.9999996533672549,
                0.9999998874647574
            ],
            [
                0.9999994284996211,
                0.9999997617629764,
                0.9999984465018752,
                0.9999990577552937,
                0.9999990577555185,
                0.9999996072137998,
                0.9999970976873229,
                0.999999554914895,
                0.9999996533672962,
                0.9999996072139402
            ],
            [
                0.9999994956527121,
                0.9999994284994167,
                0.999999694097773,
                0.9999967112497586,
                0.9999997300420937,
                0.9999996940976272,
                0.9999997300420937,
                0.999999554914789,
                0.9999992661790195,
                0.9999996072136125
            ],
            [
                0.9999982396572065,
                0.9999993524051246,
                0.9999930377462403,
                0.9999994284993485,
                0.9999990577551814,
                0.9999994956523514,
                0.9999987901344607,
                0.9999991684718732,
                0.9999996533674615,
                0.9999987901347492
            ],
            [
                0.9999993524053562,
                0.9999986290424663,
                0.9999989322968754,
                0.9999992661790196,
                0.9999967112493664,
                0.9999993524051246,
                0.9999977396748938,
                0.999999266178757,
                0.9999993524051246,
                0.9999991684721706
            ],
            [
                0.999999653367379,
                0.9999996533672135,
                0.9999996940976272,
                0.9999996533672549,
                0.9999989322967481,
                0.9999996533672549,
                0.9999997300421581,
                0.9999997617630899,
                0.9999996940976272,
                0.999999814460854
            ],
            [
                0.9999952149060758,
                0.9999990577554062,
                0.9999977396748938,
                0.9999994284992805,
                0.9999995549150011,
                0.9999995549147889,
                0.9999993524050474,
                0.9999994284996891,
                0.9999989322971299,
                0.9999996533675028
            ],
            [
                0.9999996533674202,
                0.9999996533672549,
                0.9999994284995529,
                0.9999996072139402,
                0.9999994284994849,
                0.9999994956527121,
                0.9999986290424664,
                0.9999989322970027,
                0.9999945777797379,
                0.9999994956527121
            ],
            [
                0.9999987901346049,
                0.9999910603026304,
                0.9999991684719723,
                0.9999967112517186,
                0.9999996072136125,
                0.9999991684715759,
                0.9999967112493665,
                0.9999991684722697,
                0.999995214904935,
                0.9999991684721706
            ],
            [
                0.9999989322972572,
                0.999999266178932,
                0.999999730042319,
                0.9999997897565838,
                0.9999957771650454,
                0.9999996940978461,
                0.9999994284996891,
                0.999999730042319,
                0.9999994284994849,
                0.9999991684721706
            ],
            [
                0.9999996940977731,
                0.9999993524052789,
                0.9999994284996893,
                0.9999998144609645,
                0.9999984465024306,
                0.9999996072136592,
                0.9999996940976271,
                0.9999996072137529,
                0.9999996072137061,
                0.9999986290423029
            ],
            [
                0.9999996940976272,
                0.9999994956526519,
                0.9999994284994849,
                0.9999995549150541,
                0.999999057755743,
                0.9999994284996211,
                0.9999998362623137,
                0.999999554914895,
                0.9999997300420939,
                0.9999996940977366
            ],
            [
                0.9999996940977366,
                0.9999996072137998,
                0.9999997300420939,
                0.9999994956525317,
                0.9999996533674201,
                0.9999997300421581,
                0.9999996533672962,
                0.9999998724809115,
                0.9999996072137061,
                0.9999994284995529
            ],
            [
                0.999999352404893,
                0.9999987901347492,
                0.999999694097846,
                0.9999996940978825,
                0.999999168471675,
                0.9999993524054334,
                0.999999057755069,
                0.999998446502801,
                0.9999967112517189,
                0.9999996940977002
            ],
            [
                0.9999991684715759,
                0.9999996940978825,
                0.9999995549150542,
                0.9999986290429567,
                0.9999996940976636,
                0.9999957771680658,
                0.9999977396765105,
                0.9999993524053562,
                0.9999997300422547,
                0.999999730042319
            ],
            [
                0.9999994956524115,
                0.999999730042126,
                0.9999996533672962,
                0.9999996072138465,
                0.9999997617629764,
                0.9999994284996211,
                0.9999997300422225,
                0.9999990577551814,
                0.9999994956527721,
                0.9999995549150011
            ],
            [
                0.9999995549150542,
                0.9999994284994167,
                0.9999996072136125,
                0.9999997617631752,
                0.9999994284993485,
                0.9999996940976636,
                0.9999996533673375,
                0.9999997300422869,
                0.9999992661788445,
                0.9999997300421903
            ],
            [
                0.9999997300422869,
                0.9999997300421261,
                0.9999994956525317,
                0.999999694097773,
                0.9999992661791071,
                0.9999957771670589,
                0.9999995549150542,
                0.9999997617630332,
                0.9999993524051246,
                0.99999862904312
            ],
            [
                0.9999994284997573,
                0.9999989322966208,
                0.9999994956524716,
                0.9999996533672962,
                0.9999986290429566,
                0.9999994284993485,
                0.9999982396561571,
                0.9999994284993486,
                0.9999984465020603,
                0.9999980052700408
            ],
            [
                0.9999991684721706,
                0.9999921107345938,
                0.9999990577549568,
                0.999999730042126,
                0.999999352405279,
                0.9999994956525318,
                0.999999694097773,
                0.9999997300421581,
                0.9999994956527722,
                0.9999996533672136
            ],
            [
                0.9999986290424663,
                0.9999994956525918,
                0.999999554914895,
                0.9999994284996893,
                0.9999994284994849,
                0.9999997897566589,
                0.9999997617630333,
                0.9999995549147889,
                0.9999994284996211,
                0.9999994284994849
            ],
            [
                0.9999996533674201,
                0.9999974387187053,
                0.9999997617630616,
                0.9999989322973846,
                0.9999994284994167,
                0.9999996072138465,
                0.9999982396565769,
                0.9999957771655489,
                0.9999980052695652,
                0.9999990577557432
            ],
            [
                0.9999992661786696,
                0.9999994284994848,
                0.9999984465016899,
                0.9999991684720715,
                0.9999945777810302,
                0.9999989322966208,
                0.9999998362622552,
                0.999997097686977,
                0.9999994956524715,
                0.999999653367379
            ],
            [
                0.9999996072136592,
                0.9999987901338837,
                0.9999921107336528,
                0.9999991684716749,
                0.9999990577550691,
                0.9999989322973846,
                0.9999994956525317,
                0.9999991684717741,
                0.9999970976883608,
                0.9999989322972572
            ],
            [
                0.9999997300422225,
                0.9999998724809723,
                0.9999998724809116,
                0.9999996072137529,
                0.9999997897565587,
                0.9999998144609645,
                0.9999993524049703,
                0.9999967112509346,
                0.9999997300421903,
                0.9999995549147358
            ],
            [
                0.9999998555020307,
                0.9999991684718732,
                0.9999994284995529,
                0.9999993524054335,
                0.9999994956523514,
                0.9999980052705163,
                0.9999980052702785,
                0.9999993524052019,
                0.9999996072137061,
                0.999998446502801
            ],
            [
                0.9999996072136592,
                0.9999993524049702,
                0.9999996072136125,
                0.9999994284996211,
                0.9999938558232008,
                0.9999977396765105,
                0.99998987000419,
                0.9999990577549568,
                0.9999995549147889,
                0.999999266178757
            ],
            [
                0.9999930377404305,
                0.9999987901344607,
                0.9999995549150542,
                0.9999993524049703,
                0.9999980052700408,
                0.9999962733616043,
                0.9999921107364742,
                0.9999998144608981,
                0.999998005269803,
                0.9999994284993486
            ],
            [
                0.9999990577554061,
                0.9999986290432834,
                0.9999952149032237,
                0.9999989322968754,
                0.999995777166052,
                0.9999996533672548,
                0.9999997617630333,
                0.999998790134028,
                0.9999996072138934,
                0.9999996940977366
            ],
            [
                0.9999996072139402,
                0.999998239656367,
                0.999999352405279,
                0.9999993524054334,
                0.9999987901338838,
                0.9999997617631184,
                0.9999996072137061,
                0.9999993524053562,
                0.9999977396746244,
                0.9999996533674615
            ],
            [
                0.9999994284994167,
                0.9999990577552939,
                0.9999997897566089,
                0.9999984465024306,
                0.9999997300421903,
                0.9999986290421394,
                0.9999997617630049,
                0.9999974387171787,
                0.9999996533673375,
                0.9999970976869769
            ],
            [
                0.9999996940977731,
                0.9999974387168734,
                0.9999987901346049,
                0.999998790134028,
                0.9999974387187053,
                0.9999987901346049,
                0.9999957771665555,
                0.9999991684719723,
                0.9999990577552937,
                0.9999974387168735
            ],
            [
                0.9999996533673788,
                0.9999977396751634,
                0.9999996940978461,
                0.999999168471675,
                0.999999057755743,
                0.9999994284995529,
                0.9999994284994849,
                0.999999730042319,
                0.9999989322973845,
                0.9999996533672135
            ],
            [
                0.9999996940977002,
                0.9999994284995529,
                0.9999998724808963,
                0.9999996072137998,
                0.9999994284996893,
                0.9999987901347491,
                0.9999996072137529,
                0.9999982396569965,
                0.9999984465022455,
                0.9999997300420937
            ],
            [
                0.9999996072137529,
                0.9999996072137529,
                0.9999938558246657,
                0.9999980052707541,
                0.9999995549149481,
                0.9999991684717741,
                0.999997438716568,
                0.999999352404893,
                0.9999987901347491,
                0.9999996533675028
            ],
            [
                0.9999994956527722,
                0.9999952149055056,
                0.9999994956525317,
                0.9999996533674615,
                0.9999995549147358,
                0.9999980052700408,
                0.999999730042126,
                0.9999996533673788,
                0.9999986290423029,
                0.9999997897565587
            ],
            [
                0.999999730042319,
                0.9999997897565587,
                0.9999996940977366,
                0.9999995549147358,
                0.9999996072137529,
                0.9999995549149481,
                0.9999990577549568,
                0.9999986290432834,
                0.9999996940976636,
                0.9999994956527121
            ],
            [
                0.9999994284993486,
                0.9999997300421903,
                0.9999984465024306,
                0.9999982396574162,
                0.9999996940977366,
                0.9999994284994849,
                0.9999982396572065,
                0.9999991684721706,
                0.9999977396759716,
                0.9999997300421581
            ],
            [
                0.999999789756684,
                0.9999997897567341,
                0.9999996533674202,
                0.9999996533673375,
                0.999999900688043,
                0.999996273358939,
                0.9999994956526519,
                0.9999999123575777,
                0.9999987901347492,
                0.999999266178932
            ],
            [
                0.9999997300422868,
                0.9999997617630616,
                0.999999266179107,
                0.9999998144609423,
                0.9999998362622357,
                0.9999996940977731,
                0.9999998874649184,
                0.9999999226557316,
                0.9999998874647306,
                0.9999993524052018
            ],
            [
                0.9999992661788446,
                0.9999996533673375,
                0.9999996072137998,
                0.999999266179107,
                0.9999921107345933,
                0.9999991684721706,
                0.9999992661791944,
                0.9999990577555185,
                0.9999998144609644,
                0.999998790134028
            ],
            [
                0.9999991684720715,
                0.9999995549147889,
                0.9999977396765105,
                0.999999814460876,
                0.9999996533674202,
                0.9999994284995529,
                0.9999990577552937,
                0.9999996072138465,
                0.9999994956524114,
                0.9999970976883608
            ],
            [
                0.9999977396754327,
                0.9999989322968754,
                0.9999987901338838,
                0.999993855823201,
                0.9999989322973846,
                0.9999986290423029,
                0.9999989322966208,
                0.999998446502801,
                0.9999994956525918,
                0.9999995549151072
            ],
            [
                0.9999996940977366,
                0.9999994284996211,
                0.9999991684717741,
                0.9999996940976272,
                0.9999993524049703,
                0.9999987901343165,
                0.9999984465026158,
                0.9999997617630049,
                0.9999994284997573,
                0.9999986290432835
            ],
            [
                0.9999996940977731,
                0.999999554914789,
                0.9999998362622357,
                0.9999996072137529,
                0.9999998144608983,
                0.9999994284994167,
                0.9999997300420937,
                0.9999996072136592,
                0.9999996533675028,
                0.9999994956524716
            ],
            [
                0.9999921107392958,
                0.9999986290424664,
                0.9999996940978095,
                0.9999991684718733,
                0.9999991684720715,
                0.9999996533674201,
                0.9999991684717741,
                0.9999989322973845,
                0.9999995549147889,
                0.9999996533672962
            ],
            [
                0.999999266178932,
                0.99999893229713,
                0.9999987901347491,
                0.9999996072138466,
                0.9999995549147359,
                0.9999991684719723,
                0.9999996072137998,
                0.999999694097846,
                0.9999991684718732,
                0.9999984465028011
            ],
            [
                0.9999995549150541,
                0.9999989322972572,
                0.9999993524049702,
                0.9999994956524114,
                0.9999998144608097,
                0.9999994284996891,
                0.9999995549150541,
                0.9999991684717742,
                0.9999994956524716,
                0.9999992661787571
            ],
            [
                0.9999993524052018,
                0.9999997897566589,
                0.999999554914789,
                0.9999998724809267,
                0.9999991684717741,
                0.9999996940977002,
                0.9999998555020307,
                0.9999996072137529,
                0.9999991684719725,
                0.9999998874647842
            ],
            [
                0.9999994284994849,
                0.9999994284994167,
                0.999999900688043,
                0.9999994284993485,
                0.9999994956525918,
                0.9999993524049702,
                0.9999998144608098,
                0.9999997897566589,
                0.9999996533672549,
                0.9999996533672549
            ],
            [
                0.9999996072136592,
                0.9999989322967481,
                0.999999352404893,
                0.9999982396569966,
                0.9999992661788446,
                0.999998446502801,
                0.9999984465024306,
                0.9999992661786696,
                0.9999967112521106,
                0.9999962733589389
            ],
            [
                0.9999998362623332,
                0.9999997300422869,
                0.999999554914895,
                0.9999997300421581,
                0.9999997897566338,
                0.999999694097846,
                0.9999994284997573,
                0.9999998362623137,
                0.9999986290421394,
                0.999999730042319
            ],
            [
                0.9999996940976636,
                0.9999986290426298,
                0.9999982396569966,
                0.9999991684718733,
                0.9999992661788445,
                0.9999989322972572,
                0.9999992661786696,
                0.9999986290427932,
                0.9999998144609645,
                0.9999987901338838
            ],
            [
                0.9999995549151072,
                0.99999844650169,
                0.9999986290421394,
                0.999999266179107,
                0.9999996533673375,
                0.9999994956524716,
                0.9999995549147889,
                0.9999997617631752,
                0.9999993524054334,
                0.9999999123574523
            ],
            [
                0.999999554914895,
                0.9999991684719725,
                0.9999996533672962,
                0.9999994284997573,
                0.9999993524053562,
                0.999999266178932,
                0.9999994284996893,
                0.9999997617629764,
                0.9999996533672962,
                0.9999991684722697
            ],
            [
                0.9999996533674615,
                0.9999994956524716,
                0.9999991684722698,
                0.9999996533672962,
                0.9999997300422547,
                0.9999987901343165,
                0.9999994284996211,
                0.9999994956523514,
                0.9999997617629763,
                0.9999996072139402
            ],
            [
                0.9999984465022455,
                0.9999869928761876,
                0.9999967112517189,
                0.999999266178757,
                0.9999994956526519,
                0.9999930377445804,
                0.9999980052695652,
                0.9999485577863506,
                0.9999980052707541,
                0.9999994956527121
            ],
            [
                0.9999989322966208,
                0.9999997617630332,
                0.9999994956527721,
                0.9999996072137061,
                0.9999994284995529,
                0.9999996940977731,
                0.9999991684716749,
                0.9999994956525918,
                0.9999997300420937,
                0.9999995549148419
            ],
            [
                0.9999994956525918,
                0.999999057755743,
                0.9999998362623528,
                0.9999970976887068,
                0.9999987901343165,
                0.9999996072136125,
                0.9999994284992804,
                0.9999994956525918,
                0.9999989322972572,
                0.9999982396574162
            ],
            [
                0.9999994956525918,
                0.9999998555019274,
                0.9999989322975118,
                0.9999998555019446,
                0.9999996533674614,
                0.9999991684721706,
                0.9999995549147358,
                0.999999653367379,
                0.9999998144608538,
                0.999999789756684
            ],
            [
                0.9999996533672549,
                0.9999996940977366,
                0.9999997300422547,
                0.9999994956525917,
                0.9999984465018751,
                0.9999996940977731,
                0.9999996940978825,
                0.9999996533675028,
                0.9999991684717741,
                0.9999990577549569
            ],
            [
                0.9999995549150542,
                0.9999995549148419,
                0.9999997300422225,
                0.9999993524052018,
                0.999999352405279,
                0.9999994284992805,
                0.9999998362622747,
                0.9999999006879957,
                0.9999987901347492,
                0.9999997897567341
            ],
            [
                0.9999993524049703,
                0.9999991684721706,
                0.9999996533673375,
                0.9999994284992805,
                0.9999996940976636,
                0.9999994956525918,
                0.9999991684717741,
                0.99999976176309,
                0.9999995549150011,
                0.9999992661790195
            ],
            [
                0.9999992661786696,
                0.999999352405279,
                0.999999855502048,
                0.9999996940977366,
                0.9999977396746244,
                0.9999994956525918,
                0.999999554914842,
                0.9999989322973845,
                0.9999984465015047,
                0.9999989322966208
            ],
            [
                0.9999869928761874,
                0.9999977396757023,
                0.9999982396561571,
                0.9999982396572065,
                0.999999495652652,
                0.9999990577554061,
                0.9999993524052018,
                0.9999984465024306,
                0.9999980052702785,
                0.9999995549147358
            ],
            [
                0.9999977396759716,
                0.9999997300420937,
                0.9999996072137061,
                0.9999997300422869,
                0.9999994956525918,
                0.9999997897566338,
                0.9999997300420937,
                0.9999997300422869,
                0.9999996940976636,
                0.9999997300422225
            ],
            [
                0.9999984465024306,
                0.9999996533673788,
                0.9999938558224688,
                0.999999855502048,
                0.99999976176309,
                0.9999991684721706,
                0.9999997300422225,
                0.9999994284995529,
                0.9999996533673375,
                0.9999986290427931
            ]
        ]
    },
    {
        "q_id": "10536_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            112,
            113,
            114,
            115,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            71,
            86,
            88,
            110,
            111,
            116
        ],
        "rewards": [
            [
                0.998498818048286,
                0.9996646497295931,
                0.9999151889687332,
                0.999959936307811,
                0.9999687980849051,
                0.9996646498095005,
                0.9999785550541431,
                0.9999832985741741,
                0.9997965729294587,
                0.9997694931747982
            ],
            [
                0.9999756997650627,
                0.999915188928337,
                0.9992903295360914,
                0.9999339478632352,
                0.9996646499298982,
                0.9999646437619314,
                0.999985261019786,
                0.9999885212346137,
                0.9999885212305062,
                0.9998766053810909
            ],
            [
                1.0129989771473008e-05,
                2.9023130228840374e-06,
                2.5612831263510383e-06,
                8.93969310584124e-06,
                5.422217676654099e-06,
                6.962259569313662e-06,
                2.4300237834601515e-05,
                1.670141786231398e-05,
                4.785096205173126e-06,
                7.889264466344872e-06
            ],
            [
                2.5612825160271407e-06,
                1.0677029973056687e-06,
                1.5534984953510149e-06,
                1.0677029973114952e-06,
                5.715005832762133e-07,
                2.260324297853209e-06,
                4.7850939242083995e-06,
                2.260325375634003e-06,
                1.9947290081286418e-06,
                6.144172404028807e-06
            ],
            [
                0.9999756997476794,
                0.9971990729834551,
                0.9999417087066693,
                0.9999251537548878,
                0.9999962733616043,
                0.9999485577924824,
                0.9999869928730867,
                0.9999810748495044,
                0.9999339478238224,
                0.9999869928746368
            ],
            [
                1.300712846115264e-05,
                5.422220908703723e-06,
                4.78509563546605e-06,
                4.785096205434246e-06,
                1.8925145979561802e-05,
                1.6701419848961534e-05,
                6.144177530794679e-06,
                6.144177531208195e-06,
                1.670141984792864e-05,
                3.288749849209925e-06
            ],
            [
                0.9999952149072167,
                0.9999756997505811,
                0.9999938558232008,
                0.9999756997534728,
                0.9999785550541436,
                0.9998415637264859,
                0.9999599363030525,
                0.9999724643154672,
                0.9999756997621647,
                0.9999832985821377
            ],
            [
                1.3709568799760888e-06,
                2.9023119851635836e-06,
                1.5534973841309562e-06,
                1.7603434231505666e-06,
                6.962255419380732e-06,
                2.5612812946890944e-06,
                4.450849458218309e-07,
                4.785092782779884e-06,
                8.315278294038928e-07,
                3.726641061085547e-06
            ],
            [
                7.338208055436404e-07,
                3.288747889229516e-06,
                8.315280276546789e-07,
                5.043472879419732e-07,
                5.422220908634683e-06,
                6.9622579095833456e-06,
                4.450849988798682e-07,
                1.9947290080343035e-06,
                1.6701417861189946e-05,
                1.3007133113372426e-05
            ],
            [
                0.9998415637264099,
                0.9999599363125883,
                0.9999417087066731,
                0.9998601778592275,
                0.9999885212318742,
                0.9999785550592546,
                0.999569442960523,
                0.9999151889384149,
                0.9999251537459781,
                0.9998601779258804
            ],
            [
                0.9999417087136174,
                0.9999251537370939,
                0.9999251537548992,
                0.9999687980849105,
                0.9999687980737504,
                0.9999756997534811,
                0.9999756997650606,
                0.9999417087414129,
                0.9999724642990521,
                0.9999885212305059
            ],
            [
                0.9999339478553189,
                0.9999417087205654,
                0.9999898700126427,
                0.9999151889586547,
                0.9999251537370454,
                0.9999756997534733,
                0.99937366597229,
                0.99986017787593,
                0.9999785550515873,
                0.9999921107374145
            ],
            [
                6.144173136645595e-06,
                3.288750633569722e-06,
                5.715007195431641e-07,
                3.288748673265808e-06,
                5.715006514074756e-07,
                8.31528424146183e-07,
                1.5534979397592542e-06,
                1.7603427935518875e-06,
                1.0677033791437343e-06,
                9.422445939032799e-07
            ],
            [
                0.999876605395702,
                0.9999546021367668,
                0.9999485577679497,
                0.999989870006605,
                0.999903897585039,
                0.9999885212332426,
                0.9999251537549417,
                0.9997388096593592,
                0.9999251537638318,
                0.9998204720980979
            ],
            [
                0.9999038975849913,
                0.999968798081189,
                0.999796573002346,
                0.9997965730022631,
                0.9999785550464736,
                0.99908894887686,
                0.9997388097215321,
                0.9999151889586466,
                0.99997569975637,
                0.9999339478238224
            ],
            [
                0.9999038976080269,
                0.999820471948409,
                0.9999952149060757,
                0.9999785550413666,
                0.9999898700090202,
                0.99998987000419,
                0.9999910603068932,
                0.9999898700041905,
                0.9997388096598381,
                0.999989870010228
            ],
            [
                0.9999785550490299,
                0.999738809721874,
                0.9998766054103759,
                0.9999945777790911,
                0.9999646437324302,
                0.9999724642990531,
                0.9999599363221485,
                0.9997040430065578,
                0.9996200155138579,
                0.9997694932849822
            ],
            [
                6.475948753965404e-07,
                4.22283294098842e-06,
                1.7603427935678977e-06,
                2.9023119851055122e-06,
                5.715003107715166e-07,
                7.338211554641698e-07,
                1.0677027427413698e-06,
                8.315279285149107e-07,
                1.7603438428460541e-06,
                6.475947209826952e-07
            ],
            [
                0.9999485577679469,
                0.9999038975735285,
                0.8807970779778824,
                0.9999546021205328,
                0.9999810748427342,
                0.9997694932020021,
                0.7981867825403176,
                0.9998911030777198,
                0.9998911030907593,
                0.9998766053957648
            ],
            [
                0.999975699767958,
                0.9999756997650594,
                0.9998601779260005,
                0.9999687980849061,
                0.9999687980849061,
                0.9998911031297203,
                0.9995121428820996,
                0.9999885212359795,
                0.9997388096907535,
                0.999975699753474
            ],
            [
                0.9999810748540149,
                0.9999724643154663,
                0.9999646437324287,
                0.999891103129622,
                0.9999724643154645,
                0.9999251537906132,
                0.9999885212277695,
                0.9999251537816621,
                0.9999930377429203,
                0.9999599363078162
            ],
            [
                0.9996200155608298,
                0.9999687980923503,
                0.9999687980774709,
                0.9999687980997854,
                0.9998415638021374,
                0.999959936317373,
                0.9999485577679679,
                0.9998415637831796,
                0.9999485577740872,
                0.9992903294528732
            ],
            [
                0.9999251537995039,
                0.999860177942705,
                0.29421497216298875,
                0.9999417087205654,
                0.9999417087136174,
                0.9999251537459666,
                0.9999852610127575,
                0.9999832985841279,
                0.9999832985801465,
                0.9997388097529262
            ],
            [
                1.2098653950656417e-06,
                1.0677033791437343e-06,
                4.22283394786293e-06,
                1.2098661161927025e-06,
                1.0677032518413822e-06,
                3.2887490653872164e-06,
                2.9023112931213857e-06,
                3.927862002641863e-07,
                6.962257908880483e-06,
                1.553498495338299e-06
            ],
            [
                1.7603432133032607e-06,
                6.962253759752719e-06,
                5.144222591578515e-05,
                2.430024072091399e-05,
                3.726639728262097e-06,
                1.9947306725669014e-06,
                1.4738978456719842e-05,
                3.7266379513162962e-06,
                3.288749849477628e-06,
                3.2887478889962107e-06
            ],
            [
                8.315279285251204e-07,
                1.0677031245953668e-06,
                1.3709572068478697e-06,
                3.9278638756099906e-07,
                7.88926540679677e-06,
                1.994729008074216e-06,
                1.8925143727854426e-05,
                1.0677028700320085e-06,
                1.370956879949281e-06,
                8.315279285351409e-07
            ],
            [
                0.9999251537638318,
                0.9999724643187494,
                0.9997388095977412,
                0.9999898700041899,
                0.9998911031296703,
                0.9999687980737564,
                0.9999485577802075,
                0.9999832985821384,
                0.999968798077472,
                0.9999785550592586
            ],
            [
                0.9997388095973917,
                0.999664649849669,
                0.9999417087136174,
                0.999820472098197,
                0.9997040428649165,
                0.9996646497310566,
                0.9999546021259442,
                0.9997388097216003,
                0.999769493367164,
                0.9999930377404304
            ],
            [
                0.9999251537905833,
                0.9997965729537811,
                0.9999930377454104,
                0.9999756997592674,
                0.9999785550566994,
                0.999088948759982,
                0.9999151889687481,
                0.9999646437493017,
                0.9999785550490299,
                0.9998601779759286
            ],
            [
                1.3709570433979422e-06,
                4.785093924251918e-06,
                6.962259569484628e-06,
                8.939699500766203e-06,
                1.012998735687278e-05,
                9.422449308673789e-07,
                1.7603440527046419e-06,
                7.88926258532661e-06,
                6.962259568889411e-06,
                6.475950297993789e-07
            ],
            [
                0.9999546021367691,
                0.999978555041362,
                0.9999687980923468,
                0.9999785550592557,
                0.9999038975964927,
                0.9998415638020614,
                0.9999646437619372,
                0.9999546021476009,
                0.9999546021313577,
                0.9999339478710831
            ],
            [
                3.288750241473551e-06,
                1.7603432133136672e-06,
                4.450852111148132e-07,
                5.715002426410745e-07,
                8.315282259089153e-07,
                8.315277302747361e-07,
                8.315281267834927e-07,
                4.4508505193932864e-07,
                1.2098652508347793e-06,
                7.338208055579897e-07
            ],
            [
                0.9999724643088991,
                0.9999599363126013,
                0.9999921107383548,
                0.9999724643023361,
                0.9999852610197849,
                0.9999832985741741,
                0.9999251537549052,
                0.9998601779592059,
                0.9998911030388326,
                0.9999785550490294
            ],
            [
                0.9999546021097081,
                0.9997965729537396,
                0.9998204720339496,
                0.4378234991142019,
                0.9997694932296756,
                0.9999251537638563,
                0.9998766054250353,
                0.9998601779592263,
                0.9046505325302034,
                0.9997694931747446
            ],
            [
                5.422218969532895e-06,
                1.1478764019328247e-05,
                7.338208055579897e-07,
                2.9023119851055122e-06,
                1.994729008074216e-06,
                1.994729721469003e-06,
                6.962257909412379e-06,
                4.222834451327159e-06,
                6.9622579095833456e-06,
                2.5612822104977725e-06
            ],
            [
                0.9999852610162713,
                0.9999921107402355,
                0.9999832985821377,
                0.999569442910158,
                0.9999785550566999,
                0.999903897596464,
                0.9999646437535052,
                0.9999810748562736,
                0.9999885212264011,
                0.9999869928699849
            ],
            [
                4.785094494576774e-06,
                2.902311639126627e-06,
                1.0677026154619133e-06,
                6.962259569313662e-06,
                1.147876675686207e-05,
                7.338212429562581e-07,
                1.0677026154730804e-06,
                2.902313023063532e-06,
                5.043472278280699e-07,
                7.889263526266196e-06
            ],
            [
                0.9999646437366521,
                0.9998766054544782,
                0.999860177892673,
                0.9997965729538225,
                0.9998415638399263,
                0.9999756997534777,
                0.9998415637264352,
                0.9999810748540167,
                0.9999251537816561,
                0.9997388096620952
            ],
            [
                0.9998911030647897,
                0.9999546021313719,
                0.9999910603015647,
                0.999997438717484,
                0.9999687980737538,
                0.9999724642990546,
                0.9999151889384297,
                0.9999962733607158,
                0.9999930377445803,
                0.9999485577863536
            ],
            [
                0.9999417087483609,
                0.9999151889283061,
                0.9999852610215426,
                0.999968798081189,
                0.999903897550639,
                0.9998911030517509,
                0.9999485577802075,
                0.9999251537994984,
                0.9999485577740932,
                0.9999417087414023
            ],
            [
                0.9999599363173639,
                0.9998601779259395,
                0.9999599362934845,
                0.9999910602994351,
                0.9999485577679497,
                0.9999869928730869,
                0.9999910603036961,
                0.9999869928668841,
                0.9999921107402356,
                0.9999930377445804
            ],
            [
                0.9999599363030427,
                0.9998766054104226,
                0.9999038975735565,
                0.9991959140562334,
                0.9997694932025321,
                0.9999724642990546,
                0.9993736658197019,
                0.9998766054250983,
                0.9997694933120754,
                0.9998204719696734
            ],
            [
                0.9996646499302397,
                0.9999485577740814,
                0.9997965730265855,
                0.999978555043919,
                0.999985261018029,
                0.9997388096904114,
                0.9999646437535052,
                0.9999151889687554,
                0.9998911030387961,
                0.9999898700126435
            ],
            [
                6.144175334015912e-06,
                3.726641061027928e-06,
                5.422219615395428e-06,
                4.785093353787868e-06,
                7.338208055536515e-07,
                9.422443692261927e-07,
                1.0677027427413698e-06,
                4.2228329408924035e-06,
                1.067703379136937e-06,
                2.260325375634003e-06
            ],
            [
                8.315278294038928e-07,
                0.9964063981680708,
                0.9988304897471836,
                0.9996200155139906,
                0.9996200155144881,
                1.1478772229989872e-05,
                0.9998415637641964,
                5.04347588554027e-07,
                4.222834954280646e-06,
                0.9975273772798172
            ],
            [
                0.9999869928761874,
                0.9999417087066769,
                0.9999724642990576,
                0.999841563783258,
                0.9999038975392328,
                0.9999885212305066,
                0.9999599363078219,
                0.9999546021475986,
                0.9999810748495074,
                0.9999687980923457
            ],
            [
                0.9994472213864555,
                0.9999151889485088,
                0.9999724643056221,
                0.999903897562102,
                0.9993736657458854,
                0.9999485578047547,
                0.9999151889788636,
                0.9998601779259192,
                0.9996646497304907,
                0.9998766053662735
            ],
            [
                0.9940889317238487,
                0.9999810748449924,
                0.9999151889283289,
                0.9999724642957716,
                0.9999417087205619,
                0.9999151889889569,
                0.9999687980774697,
                0.9998766053663705,
                0.9999546021367783,
                0.9999339478474896
            ],
            [
                0.9999832985741735,
                0.9997694933394337,
                0.9999599363221378,
                0.9999885212359795,
                0.9999756997592687,
                0.9999038975506579,
                0.9998911030517746,
                0.9998911030518237,
                0.9999852610109998,
                0.9999485577618208
            ],
            [
                3.927860597935108e-07,
                4.785095065093186e-06,
                3.927862939113312e-07,
                3.7266410609160796e-06,
                1.209865683518615e-06,
                8.93969736955767e-06,
                6.475949525878687e-07,
                3.9278629390240027e-07,
                3.288750633569722e-06,
                9.422448185435711e-07
            ],
            [
                1.4738981971250963e-05,
                5.422220908762902e-06,
                7.338208055579897e-07,
                1.9947290081286418e-06,
                1.5534981249291695e-06,
                3.7266379513162962e-06,
                6.144177531208195e-06,
                1.0677024881941248e-06,
                6.962255419804982e-06,
                1.1478765388523107e-05
            ],
            [
                0.999985261016272,
                0.9999910603058275,
                0.9999930377404306,
                0.9999945777803839,
                0.9999832985761674,
                0.9999339478710692,
                0.9999646437535114,
                0.9999869928668843,
                0.9999810748449914,
                0.9999599362934879
            ],
            [
                2.561281905390075e-06,
                4.222832941034507e-06,
                1.0677026154551157e-06,
                1.209865827740176e-06,
                1.760344052693435e-06,
                6.475947209918244e-07,
                9.422447061953531e-07,
                7.338209804853638e-07,
                3.7266388396975786e-06,
                8.3152773023541e-07
            ],
            [
                6.144172404520556e-06,
                9.422447062202052e-07,
                4.2228349547223175e-06,
                1.0129992187400498e-05,
                3.726640616423495e-06,
                8.315278293951957e-07,
                5.715007195431641e-07,
                4.7850950647493785e-06,
                4.222833947820683e-06,
                3.2887486733420804e-06
            ],
            [
                0.9996646498897299,
                0.999941708713625,
                0.9999852610232993,
                0.9995121429379576,
                0.9997965730507007,
                0.999925153772784,
                0.9999756997476807,
                0.9997694932296253,
                0.9999417087205921,
                0.9999921107392953
            ],
            [
                7.338207180838067e-07,
                6.144177531208195e-06,
                1.2098661161107252e-06,
                5.715003107738556e-07,
                6.144173136645595e-06,
                2.260323489490968e-06,
                3.7266383954560706e-06,
                3.7266379512518984e-06,
                2.260324028372372e-06,
                1.3709576970824327e-06
            ],
            [
                0.9999646437492894,
                0.9999687980737538,
                0.9999646437450808,
                0.9999930377420904,
                0.9998204720553445,
                0.9999785550439183,
                0.9525741231199173,
                0.9999339478317094,
                0.9999962733598274,
                0.9999885212305084
            ],
            [
                1.2098655392811161e-06,
                1.2098659719441482e-06,
                4.450851580540182e-07,
                9.422445938642879e-07,
                1.300713466619476e-05,
                9.422448185478557e-07,
                8.93969630348202e-06,
                8.93969310662177e-06,
                6.962256249429175e-06,
                4.222834451254188e-06
            ],
            [
                3.7266406168403854e-06,
                1.5534973841705173e-06,
                4.785095065093186e-06,
                8.939699500164542e-06,
                4.785094494750855e-06,
                1.994729959270648e-06,
                1.5534984953298217e-06,
                2.4300243621371074e-05,
                5.422218323093458e-06,
                2.5612831267086116e-06
            ],
            [
                0.9998601779760528,
                0.9980732649099776,
                0.9999251537370814,
                0.9997965729783995,
                0.9997965730994314,
                0.9997965730266271,
                0.9998415637831035,
                0.9999038976079275,
                0.999915188948523,
                0.9996200154241814
            ],
            [
                2.902313023039776e-06,
                1.5534973841895917e-06,
                1.7603434231705793e-06,
                5.422219616026655e-06,
                3.7266383955882547e-06,
                7.889263525663481e-06,
                0.9999724643056184,
                4.785095065204162e-06,
                2.2603251062013478e-06,
                5.4222215552470286e-06
            ],
            [
                0.9999151889181979,
                0.9999885212305059,
                0.9996646500100201,
                0.9999251537548818,
                0.9989677691567552,
                0.9998601778592866,
                0.999941708734458,
                0.999925153746002,
                0.9996200154694398,
                0.9998204720338529
            ],
            [
                0.9998601778926528,
                0.9996646497701029,
                0.9999038975735851,
                0.9999251537995159,
                0.9998601779425829,
                0.9998415637264859,
                0.9999832985821381,
                0.999954602125951,
                0.9998601778758506,
                0.9997694932024783
            ],
            [
                0.9996646499295665,
                0.9999546021421782,
                0.999985261021543,
                0.9999724642957698,
                0.9999646437408605,
                0.9996646498896129,
                0.9999756997476807,
                0.9999546021259442,
                0.9999599363173656,
                0.9964063978337595
            ],
            [
                2.9023116391477434e-06,
                4.222834451292594e-06,
                6.144173869502757e-06,
                1.3709573702778664e-06,
                0.9999485577740759,
                5.422220262505697e-06,
                1.7603427936079236e-06,
                2.260323758939877e-06,
                6.144173869502757e-06,
                5.715006514151423e-07
            ],
            [
                8.315281267800897e-07,
                8.939695238333382e-06,
                1.067702488159652e-06,
                2.5612812947240366e-06,
                6.1441746018123775e-06,
                5.422218969720291e-06,
                2.5612812947380135e-06,
                6.962254589528684e-06,
                1.0677024881941248e-06,
                2.260325375677174e-06
            ],
            [
                0.9999832985781602,
                0.9999898700104743,
                0.9999724643056201,
                0.9999599363173769,
                0.999991060306894,
                0.9999952149072165,
                0.9999599362934827,
                0.999972464312183,
                0.999975699759266,
                0.9999945777810931
            ],
            [
                0.9999756997592855,
                0.9999921107336561,
                0.9997965730992242,
                0.9998911031296585,
                0.9997694932025321,
                0.9999251537995159,
                0.9999546021367908,
                0.9999599363078128,
                0.9999921107336618,
                0.9999485577618096
            ],
            [
                0.6791787056691698,
                0.9999251537549052,
                0.9999599363221395,
                0.999903897550667,
                0.9999251537370629,
                0.9999945777829855,
                0.9999646437619328,
                0.9997388097527894,
                0.9996646497298176,
                0.9999339478238315
            ],
            [
                0.9999810748495074,
                0.9999339478395914,
                0.999915188978871,
                0.9998415637075534,
                0.9999724643023379,
                0.9998766054252419,
                0.9995694428598808,
                0.9999599362887142,
                0.9998415637642725,
                0.9999599363030371
            ],
            [
                8.939699501132077e-06,
                1.7603425837062577e-06,
                2.260324028372372e-06,
                6.144176065940129e-06,
                7.889259763857458e-06,
                2.5612825160562587e-06,
                5.422220262555012e-06,
                4.2228329411708495e-06,
                3.9278610661545617e-07,
                4.222831933480445e-06
            ],
            [
                1.5534981249397663e-06,
                1.0129994602222992e-05,
                1.994729483694599e-06,
                4.222834954607099e-06,
                1.012999218752948e-05,
                8.939699501132077e-06,
                1.4738980214280206e-05,
                3.535625492359079e-05,
                6.144173869502757e-06,
                2.5612816000145246e-06
            ],
            [
                0.9998204720123953,
                0.9989677687924233,
                0.9997388096592909,
                0.9996646500092494,
                0.9999852610232988,
                0.9998204720125573,
                0.9997965729297074,
                0.99962001555905,
                0.9998601779759286,
                0.9999251537995099
            ],
            [
                0.999975699753474,
                0.9999724643154654,
                0.9999869928746368,
                0.9999151889485459,
                0.9999832985741741,
                0.9999724642990531,
                0.999948557780219,
                0.9999546021205397,
                0.9999485577986055,
                0.9999339478553524
            ],
            [
                8.93969630333567e-06,
                3.9278638756099906e-07,
                3.927860597945825e-07,
                1.2098661161789477e-06,
                2.6995768091310296e-07,
                4.222834954561012e-06,
                3.46632497145457e-07,
                5.715006514074756e-07,
                6.475947982002148e-07,
                3.9278624708775595e-07
            ],
            [
                0.9993736658214143,
                0.9995694429099702,
                0.9998415637454183,
                0.9991959141396178,
                0.9999417087345585,
                0.9999646437450708,
                0.999512142878722,
                0.9999724642957707,
                0.966914019585289,
                0.9999832985801468
            ],
            [
                1.4738985484871391e-05,
                8.315284241597959e-07,
                1.5534971989809095e-06,
                1.9947294837154625e-06,
                1.3709568799679844e-06,
                2.902311984915459e-06,
                2.5612816000646084e-06,
                6.962255419653012e-06,
                4.785092783415276e-06,
                2.9023126770343703e-06
            ],
            [
                0.9999251537816506,
                0.9999485577802159,
                0.9669140189894048,
                0.999978555049031,
                0.9999038975620929,
                0.9999885212264008,
                0.9999339478553779,
                0.9998766054544782,
                0.9999852610127582,
                0.9999852610233181
            ],
            [
                5.422217676979575e-06,
                4.785095065171522e-06,
                1.7603425837702984e-06,
                1.5534979397790343e-06,
                8.315282259089153e-07,
                6.9622595696935874e-06,
                2.5612831265909735e-06,
                3.726641061027928e-06,
                2.5612822106654943e-06,
                7.338213304363436e-07
            ],
            [
                6.475947982022763e-07,
                2.260323758939877e-06,
                5.422217676866151e-06,
                6.475947982022763e-07,
                0.9998601779593259,
                1.2098656835136636e-06,
                7.338207180801359e-07,
                4.222832941034507e-06,
                2.561281905376098e-06,
                1.2098659719661556e-06
            ],
            [
                0.9999756997534728,
                0.9995694429603477,
                0.9999485577618152,
                0.9999339478316954,
                0.9996200155142007,
                0.9980732651049679,
                0.9999810748540149,
                0.9999417087552983,
                0.9998766054692311,
                0.9997694933393834
            ],
            [
                5.043474683156057e-07,
                1.760343842833246e-06,
                4.450849988811838e-07,
                9.422450431954847e-07,
                1.2098655392662613e-06,
                6.962254589617333e-06,
                6.1441746017453204e-06,
                7.88926258532661e-06,
                7.338208055579897e-07,
                1.7603438428564603e-06
            ],
            [
                0.9998415638209662,
                0.9999151889182207,
                0.9998911030647897,
                0.9998204720124606,
                0.9999885212264009,
                0.9995694428581399,
                0.9999151889687481,
                0.9998601779592466,
                0.9998204719483776,
                0.9997694932846066
            ],
            [
                2.4300237830711845e-05,
                3.726639283901856e-06,
                4.222834451292594e-06,
                4.785092783149804e-06,
                1.0129993394811673e-05,
                2.902310947190096e-06,
                5.422217677028889e-06,
                2.561283126679493e-06,
                2.9023116391477434e-06,
                3.7266383955611403e-06
            ],
            [
                0.9999921107392955,
                0.9986749778429748,
                0.9999921107402359,
                0.9999687980886276,
                0.99998107485853,
                0.9999832985721847,
                0.9999869928684348,
                0.9999810748540167,
                0.9998911030518618,
                0.999972464302337
            ],
            [
                0.9999339478238272,
                0.9998911030777563,
                0.999796573026544,
                0.9999852610180284,
                0.9999417087414095,
                0.9999485577924737,
                0.9999038975621404,
                0.9999785550592551,
                0.9992903296173697,
                0.9999151889687259
            ],
            [
                3.2887490653872164e-06,
                1.3709567165386693e-06,
                7.338208055613267e-07,
                2.260324028351814e-06,
                4.450852111120808e-07,
                4.2228324375973415e-06,
                1.553497199007048e-06,
                4.785095065171522e-06,
                4.222833947728508e-06,
                4.785096205930373e-06
            ],
            [
                0.9999646437324317,
                0.997817283927876,
                0.9998766054694268,
                0.9999724643187452,
                0.9998204720123953,
                0.9999546021151239,
                0.9995121427635432,
                0.9999869928761869,
                0.999954602115126,
                0.9999417087344652
            ],
            [
                0.9999885212359793,
                3.726638395527247e-06,
                0.9999832985741741,
                5.043472879504592e-07,
                0.99990389758502,
                3.9278605978797364e-07,
                2.2603251062013478e-06,
                1.3007128461507534e-05,
                2.2603237581504697e-06,
                5.043475885634304e-07
            ],
            [
                0.9999546021313555,
                0.999993855825398,
                0.9991959139497465,
                0.9999869928699856,
                0.9999756997621647,
                0.9998911031297456,
                0.999738809752721,
                0.9999151889283214,
                0.9999599362887345,
                0.9999599362934879
            ],
            [
                0.9999724643187476,
                0.9999339478710788,
                0.9999885212332426,
                0.9999810748585277,
                0.9999646437408619,
                0.9999251537549112,
                0.9997388095971864,
                0.9999687980923457,
                0.9997694932575167,
                0.9999724642957752
            ],
            [
                0.9999339478789332,
                0.999915188968851,
                0.9999417087485551,
                0.9999038975850291,
                0.9999038975850983,
                0.999948557798623,
                0.9999339478789374,
                0.9998415638210723,
                0.999985261011,
                0.9996646498901787
            ],
            [
                1.5534984953199313e-06,
                5.043474683204221e-07,
                6.475945665900901e-07,
                0.999954602115126,
                1.0129988561372045e-05,
                7.338208055536515e-07,
                2.5612834320214477e-06,
                6.47594566597747e-07,
                7.889265406567165e-06,
                4.785092783415276e-06
            ],
            [
                1.2098658277451275e-06,
                1.012998977108606e-05,
                2.56128282131428e-06,
                2.9023109471188266e-06,
                1.0677026154551157e-06,
                2.5612812945889277e-06,
                6.962257079059797e-06,
                6.1441760661636525e-06,
                3.7266410607194972e-06,
                4.222832437677995e-06
            ],
            [
                0.9997694932022101,
                0.9993736659742211,
                0.9998766054692149,
                0.9999339478789423,
                0.9999485577986111,
                0.999925153745996,
                0.9999546021205328,
                0.9999687980886287,
                0.9998766054544782,
                0.999841563783205
            ],
            [
                0.9999646437366552,
                0.9997040428663201,
                0.9993736658195197,
                0.9997694933123403,
                0.9998766054104872,
                0.9999417087066845,
                0.9999339478396708,
                0.9996646497299249,
                0.9995121427650758,
                0.9999687980849209
            ],
            [
                1.0677024881829577e-06,
                2.5612816000331606e-06,
                1.067703379136937e-06,
                8.939695237666677e-06,
                4.785095065132354e-06,
                5.422217030663578e-06,
                6.475950297768503e-07,
                1.5534975693601474e-06,
                1.9947297215125433e-06,
                1.994729008056074e-06
            ],
            [
                0.9999785550439172,
                0.9999417087414205,
                0.9998766054544638,
                0.9999599362887106,
                0.9999339478474597,
                0.9999832985821377,
                0.9999921107336524,
                0.9997965730992242,
                0.9998204720551512,
                0.9999485577986026
            ],
            [
                2.902310947190096e-06,
                3.2887502415243994e-06,
                8.315277302788957e-07,
                1.370957370247318e-06,
                1.0677028700203557e-06,
                2.260324836776948e-06,
                1.209865683500459e-06,
                2.260324028427877e-06,
                4.4508515805199415e-07,
                2.56128159999123e-06
            ],
            [
                0.9999417087553016,
                0.9999151889788488,
                0.9999957771645419,
                0.9998204719695766,
                0.9995121429387809,
                0.9999038975391943,
                0.9999599363078182,
                0.9995694430128043,
                0.9999546021259487,
                0.9996646499295665
            ],
            [
                0.9998766054104226,
                0.999876605425161,
                0.9999038975621116,
                0.9999599362887123,
                0.9999724642957716,
                0.9998911030388326,
                0.9997694932297829,
                0.9997965729538639,
                0.999796573075106,
                0.9999852610197852
            ],
            [
                0.9999756997679602,
                0.9999785550515867,
                0.999769493284714,
                0.9999599363221378,
                0.9999810748427347,
                0.9999756997650606,
                0.9999930377429204,
                0.9999687980849061,
                0.9999756997476807,
                0.9998415637075787
            ],
            [
                0.9998911030518237,
                0.9999599363030371,
                0.9999599363078162,
                0.9999687980849118,
                0.999964643736649,
                0.9999852610127573,
                0.9999646437324302,
                0.9999417087066731,
                0.9999251537995218,
                0.9999339478553327
            ],
            [
                6.962256249327861e-06,
                6.144176066672166e-06,
                6.144175334239434e-06,
                1.994729245917502e-06,
                5.422217030555087e-06,
                3.2887498493983645e-06,
                9.422448185388577e-07,
                3.288750633569722e-06,
                3.9278610661545617e-07,
                1.99472924590571e-06
            ],
            [
                0.9998415638210976,
                0.9998601779092371,
                0.9996200154239604,
                0.9993736658956317,
                0.9999151889384149,
                0.999891103129683,
                0.9999339478317045,
                0.999876605454541,
                0.9999038975393139,
                0.9999251537816921
            ],
            [
                2.902311985146426e-06,
                7.338211554725124e-07,
                2.6995790618350237e-07,
                2.2603251062270446e-06,
                2.9023112930949896e-06,
                3.726639284050988e-06,
                3.2887490653872164e-06,
                1.670141587208191e-05,
                1.3709570434054234e-06,
                6.144173868882483e-06
            ],
            [
                0.9998911030907593,
                0.9999251537370454,
                0.9999339478710831,
                0.9999869928761997,
                0.9999852610110006,
                0.9991959140451498,
                0.9999646437408576,
                0.9998204719909689,
                0.9999546021097102,
                0.9988304895761084
            ],
            [
                1.2098659719601033e-06,
                1.553498310118888e-06,
                0.9998766054398187,
                3.059021904559123e-07,
                9.422445938964242e-07,
                9.422445938917108e-07,
                9.422443692390473e-07,
                3.2887502415438413e-06,
                1.76034300345598e-06,
                2.902312677084523e-06
            ],
            [
                1.1478765388711023e-05,
                8.3152792852928e-07,
                4.222832941034507e-06,
                0.015906391361934443,
                2.7535700942411318e-05,
                2.5612828212909852e-06,
                6.475947981813674e-07,
                1.4738987242432592e-05,
                2.56128129423019e-06,
                1.3709575336530204e-06
            ],
            [
                0.9995121429397175,
                0.9999687980960674,
                0.9999599363221395,
                0.9999599363173692,
                0.9999687980849082,
                0.9770226295463758,
                0.9993736658212321,
                0.9997965730023045,
                0.9999339478317002,
                0.9991959142349743
            ],
            [
                0.9999810748585286,
                0.9999832985701917,
                0.999664649850908,
                0.999903897562102,
                0.9999251537638443,
                0.9996200155141343,
                0.9999785550592557,
                0.9993736658975262,
                0.9999756997592666,
                0.9997965730994314
            ],
            [
                0.9999646437366446,
                0.999983298570192,
                0.9999852610197855,
                0.9999945777797374,
                0.9999810748562717,
                0.9999962733611601,
                0.9999945777816766,
                0.9999898700102277,
                0.9999952149032235,
                0.9999852610180293
            ],
            [
                4.7850967763512445e-06,
                4.4508494582314646e-07,
                3.466327450756327e-07,
                4.222835458044565e-06,
                1.760344052714248e-06,
                4.222834954403545e-06,
                4.222831934202483e-06,
                6.144173868781898e-06,
                1.7603432133032607e-06,
                1.0129990979842057e-05
            ],
            [
                0.9999417087553055,
                0.999820471948409,
                0.9998601779761566,
                0.9999785550413638,
                0.9998911031167544,
                0.9997694932574094,
                0.9999810748449929,
                0.9999810748585273,
                0.9994472214562065,
                0.9999687980737564
            ],
            [
                0.9999038975735565,
                0.9999485577924737,
                0.9998911030907103,
                0.9999921107374148,
                0.9999599363173656,
                0.9998601779258989,
                0.9999599363125955,
                0.99986017797589,
                0.9999810748540149,
                0.9998911031036769
            ],
            [
                2.2603251061232293e-06,
                4.450851049959619e-07,
                5.715002426410745e-07,
                3.726640616670918e-06,
                2.902311293147782e-06,
                1.3709578605617394e-06,
                1.760343213322473e-06,
                6.475946437928669e-07,
                1.0129987356375273e-05,
                5.043474683220276e-07
            ],
            [
                0.9999687981032205,
                0.9999646437535068,
                0.9999646437450749,
                0.9999599362982599,
                0.9998204720124266,
                0.9999852610162709,
                0.9999885212332436,
                0.9997694933124477,
                0.9924227604969917,
                0.99998987001023
            ],
            [
                0.9998601779426642,
                0.9999724643187494,
                0.9999930377420904,
                0.9999756997592687,
                0.9998601778759707,
                0.9999646437450749,
                0.9997040430069108,
                0.9996646497696542,
                0.9999785550567036,
                0.9999852610180284
            ],
            [
                8.939694172542558e-06,
                1.5534971989992774e-06,
                2.4300243628620005e-05,
                2.5612831266608576e-06,
                5.715004470243685e-07,
                5.4222215550004564e-06,
                4.222833947960866e-06,
                1.892515275165658e-05,
                1.01299946023704e-05,
                7.889263526180094e-06
            ],
            [
                1.5534975693707442e-06,
                0.9999339478710602,
                1.2098656835136636e-06,
                9.422449308673789e-07,
                7.889264466230069e-06,
                3.288748673295719e-06,
                7.889259764079887e-06,
                1.5534979397267575e-06,
                8.939694172542558e-06,
                2.561283432035425e-06
            ],
            [
                0.9997694933122331,
                0.9997965730023874,
                0.999841563745317,
                0.9999724642957716,
                0.9999546021367712,
                0.9998601779592059,
                0.9999339478317002,
                0.9996646498505665,
                0.9999832985781566,
                0.9999785550464741
            ],
            [
                4.4508494582314646e-07,
                1.067702869849933e-06,
                8.939697367264857e-06,
                6.1441760667392215e-06,
                2.561283126679493e-06,
                5.715003107655392e-07,
                3.7266406167827664e-06,
                4.22283394786293e-06,
                5.422218322565793e-06,
                2.56128282131428e-06
            ],
            [
                1.99472924590571e-06,
                1.5534984953199313e-06,
                3.466327863961242e-07,
                7.889261644057078e-06,
                7.338208055536515e-07,
                3.7266397283231055e-06,
                2.2603234894560207e-06,
                3.288749457409966e-06,
                5.715006514105942e-07,
                5.422221555340727e-06
            ],
            [
                0.9999599363221504,
                0.9999957771665555,
                0.9999952149066461,
                0.999954602147594,
                0.9999832985821384,
                0.9999930377462402,
                0.9999974387168732,
                0.9999687980923468,
                0.9999989322972572,
                0.9999957771670589
            ],
            [
                8.939694172290508e-06,
                7.338210680002898e-07,
                1.5534981249496567e-06,
                8.315282259051341e-07,
                2.9023109471452223e-06,
                1.0129987356541108e-05,
                2.2603242978213447e-06,
                2.5612825160096693e-06,
                0.9999339478238272,
                2.2603234895176927e-06
            ],
            [
                0.9998911031166673,
                0.9999339478238364,
                0.9999921107402356,
                0.9997694932846602,
                0.9999724643154645,
                0.9999898700041899,
                0.9999852610233002,
                0.9999038975620929,
                0.9999810748495058,
                0.999290329702363
            ],
            [
                7.88926540679677e-06,
                6.144175334367959e-06,
                1.67014238321306e-05,
                1.300712536258383e-05,
                4.222834954607099e-06,
                4.222833947774596e-06,
                6.475951069932288e-07,
                3.7266379512518984e-06,
                4.785096205930373e-06,
                1.5534981249397663e-06
            ],
            [
                6.144176066443055e-06,
                1.7603430032662588e-06,
                5.4222209089700225e-06,
                1.2098659719661556e-06,
                1.0129994601688632e-05,
                1.01299946023704e-05,
                1.5534983101478522e-06,
                3.7266379513162962e-06,
                1.7603434231385591e-06,
                0.9999756997650667
            ]
        ]
    },
    {
        "q_id": "10643_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999756997563752,
                0.9999994284994167,
                0.9999898700041906,
                0.9999945777810303,
                0.9994472213258051,
                0.9999991684720715,
                0.9999885212277696,
                0.999997097686977,
                0.9999898700066056,
                0.9999970976890528
            ],
            [
                7.889263525663481e-06,
                7.889265406681968e-06,
                1.7603432133032607e-06,
                3.2887482812506295e-06,
                6.144176066051891e-06,
                9.422449308673789e-07,
                4.222831934202483e-06,
                4.222831934202483e-06,
                2.9023123311055552e-06,
                4.7850967763512445e-06
            ],
            [
                2.3823685319174098e-07,
                7.338213304343413e-07,
                1.8553907971758842e-07,
                8.315281267834927e-07,
                2.5612831266608576e-06,
                4.450849458200093e-07,
                1.0677028700320085e-06,
                2.260324028404236e-06,
                1.0677033791437343e-06,
                1.99472924590571e-06
            ],
            [
                1.2098652507715085e-06,
                8.315282258756395e-07,
                2.699577130944368e-07,
                6.475947209918244e-07,
                2.5612815998141903e-06,
                5.422220262264056e-06,
                1.3709568799592562e-06,
                6.962257079173776e-06,
                2.902311985079115e-06,
                3.726639284017094e-06
            ],
            [
                9.422442569097361e-07,
                6.475949525781504e-07,
                5.04347287945184e-07,
                2.2603248367358324e-06,
                7.338210679816025e-07,
                2.260324567227179e-06,
                1.7603432133032607e-06,
                8.315277302747361e-07,
                1.9947299592570416e-06,
                3.4663270375278157e-07
            ],
            [
                5.422219616140078e-06,
                2.56128159999123e-06,
                1.3709568799823232e-06,
                3.2887482812745586e-06,
                4.222831933864508e-06,
                1.5534973841154145e-06,
                2.561283432005142e-06,
                3.2887506332945414e-06,
                5.043474081931949e-07,
                6.475947981975644e-07
            ],
            [
                1.3709568799760888e-06,
                1.99472995920443e-06,
                2.5612825159421147e-06,
                1.9947306726358406e-06,
                1.0677029973056687e-06,
                8.315279285012978e-07,
                1.994729245878497e-06,
                9.422443692390473e-07,
                5.715005832827105e-07,
                8.315278294001114e-07
            ],
            [
                6.144172403470001e-06,
                1.3709578605617394e-06,
                5.422217029943586e-06,
                3.2887498494282754e-06,
                5.715003788894922e-07,
                1.994729245917502e-06,
                4.78509563546605e-06,
                8.939697368842181e-06,
                1.9947306725669014e-06,
                6.962253759752719e-06
            ],
            [
                4.785096775920397e-06,
                5.422218969463855e-06,
                7.338208930265102e-07,
                4.785096776303374e-06,
                1.5534973841592143e-06,
                1.6701417858577338e-05,
                6.144172403715875e-06,
                1.0129995809597604e-05,
                3.726639283752725e-06,
                3.726640172385136e-06
            ],
            [
                0.9999885212305066,
                0.9999967112497584,
                0.9999898700078128,
                0.9999974387171787,
                0.9999832985721836,
                0.9999869928699853,
                0.9999921107355336,
                0.9999898700114358,
                0.9999852610215424,
                0.9999724643056231
            ],
            [
                1.553497754577351e-06,
                4.450851580555361e-07,
                1.0677033791495609e-06,
                2.9023126770343703e-06,
                1.9947290081286418e-06,
                3.927862939113312e-07,
                1.5534979397140412e-06,
                5.043475885634304e-07,
                1.067702615468225e-06,
                2.382368247909451e-07
            ],
            [
                0.9999945777816766,
                0.9999930377404307,
                0.9999898700114359,
                0.9999967112513267,
                0.999981074856277,
                0.9999980052693274,
                0.9999898700041899,
                0.9999967112493665,
                0.9999977396746244,
                0.999998790134605
            ],
            [
                0.9999756997505811,
                0.9999945777816767,
                0.9999921107364742,
                0.999978555054146,
                0.9999945777797377,
                0.9999945777816768,
                0.9999980052695652,
                0.9999992661792819,
                0.9999921107336532,
                0.9999982396569965
            ],
            [
                1.9947304348332037e-06,
                6.144173136729416e-06,
                1.7603438428564603e-06,
                2.2603242978665707e-06,
                6.144172404380855e-06,
                3.7266379512857925e-06,
                4.785096205778054e-06,
                4.785096205930373e-06,
                2.5612825159677387e-06,
                1.670142780910326e-05
            ],
            [
                0.9999930377404315,
                0.9999945777816766,
                0.9999945777816766,
                0.9999986290421394,
                0.9999957771665555,
                0.9999898700102291,
                0.9999921107345937,
                0.9999898700078134,
                0.9999977396762411,
                0.9999945777784447
            ],
            [
                0.9998601779261043,
                0.9999898700102277,
                0.9999952149049349,
                0.9997694932858743,
                0.9999417087275562,
                0.9999921107402359,
                0.9999546021368043,
                0.9999962733589389,
                0.9999910603068933,
                0.9995694430150338
            ],
            [
                0.9999151889485539,
                0.9999852610215433,
                0.9999756997621694,
                0.9999724643023409,
                0.9999810748449955,
                0.9999869928699852,
                0.9999869928668841,
                0.9998766053663866,
                0.9999832985821384,
                0.9999852610232999
            ],
            [
                2.5612819053166966e-06,
                1.9947297213746646e-06,
                9.422447062150634e-07,
                8.93969630362837e-06,
                3.2887486732358968e-06,
                1.0677032518093368e-06,
                3.2887478890769702e-06,
                2.90231163910023e-06,
                1.5534977545384963e-06,
                4.785093923420688e-06
            ],
            [
                7.889260704531226e-06,
                3.726639284050988e-06,
                4.785096205930373e-06,
                4.222834954607099e-06,
                3.726641060956752e-06,
                3.2887478891487563e-06,
                1.2098658277264215e-06,
                7.338212429537553e-07,
                1.5534981249574276e-06,
                3.2887498491620677e-06
            ],
            [
                4.785093924103951e-06,
                1.3709567165530083e-06,
                8.315277302788957e-07,
                2.2603242978213447e-06,
                1.2098662604049616e-06,
                1.5534973841895917e-06,
                1.0677031245851707e-06,
                5.715005832762133e-07,
                1.760343423160973e-06,
                5.715007195384861e-07
            ],
            [
                1.3709578605355551e-06,
                1.370957206753107e-06,
                2.902313368963394e-06,
                3.7266383954560706e-06,
                1.553497754476329e-06,
                4.222835457852533e-06,
                3.726640616423495e-06,
                6.144172404302622e-06,
                1.0129989770441144e-05,
                1.9947290080125335e-06
            ],
            [
                1.0677031245905116e-06,
                1.2098655392574583e-06,
                6.14417679836736e-06,
                1.7603425837494853e-06,
                1.3709573702647743e-06,
                4.785094494402695e-06,
                2.2603251061849014e-06,
                3.7266397280485686e-06,
                3.288750633569722e-06,
                4.222834954687752e-06
            ],
            [
                0.9999967112517189,
                0.9999898700053982,
                0.9999970976883609,
                0.9999930377454105,
                0.9999910603026313,
                0.9999991684716749,
                0.9999982396572064,
                0.9999945777790913,
                0.9999885212346117,
                0.9999938558253983
            ],
            [
                1.2098658277264215e-06,
                1.8925145981283003e-05,
                8.939700565834043e-06,
                3.72664017246987e-06,
                5.422217676486429e-06,
                2.902312331081799e-06,
                1.9947299592407137e-06,
                2.5612834319655406e-06,
                8.315278293951957e-07,
                1.1478766754377407e-05
            ],
            [
                0.9999869928684354,
                0.9999930377412605,
                0.9999967112505427,
                0.9999982396574163,
                0.9999982396572064,
                0.9999957771660523,
                0.9999910603026312,
                0.9999938558232008,
                0.999997438716568,
                0.9999930377454105
            ],
            [
                0.999986992869987,
                0.999983298576167,
                0.999997438717484,
                0.99998699287309,
                0.9999869928761882,
                0.9999832985761661,
                0.999986992873086,
                0.9999810748472515,
                0.9999970976866309,
                0.9999898700041902
            ],
            [
                1.0129988563914856e-05,
                6.1441746018123775e-06,
                1.6701421842140854e-05,
                2.9023116390421582e-06,
                5.1442213617576366e-05,
                1.0129988563546333e-05,
                4.785094494463623e-06,
                1.6701421841259862e-05,
                1.1478770861859053e-05,
                1.0129992186387057e-05
            ],
            [
                1.3709578605243332e-06,
                1.067703379136937e-06,
                4.785094494402695e-06,
                3.726641061027928e-06,
                7.338212429167144e-07,
                3.2887478890769702e-06,
                7.338208055579897e-07,
                4.4508510499737865e-07,
                1.99472924590571e-06,
                8.315280276546789e-07
            ],
            [
                5.04347408197782e-07,
                1.0677032518578904e-06,
                7.889263525534328e-06,
                5.043475284430694e-07,
                8.31527928532683e-07,
                1.994729008056074e-06,
                1.06770312455264e-06,
                7.338212429464139e-07,
                1.994730434778778e-06,
                1.9947299592570416e-06
            ],
            [
                3.2887478891128633e-06,
                2.9023119851266288e-06,
                2.9023109471188266e-06,
                2.2603251062013478e-06,
                2.260323489490968e-06,
                1.9947306725669014e-06,
                2.260324028331257e-06,
                1.0677024881941248e-06,
                4.785092783319532e-06,
                4.222835458044565e-06
            ],
            [
                0.9999485577863476,
                0.9999810748540153,
                0.9999957771645419,
                0.9999982396563669,
                0.9999724642990605,
                0.999992110738355,
                0.9999970976883609,
                0.9999832985841305,
                0.9999832985721833,
                0.9999898700041906
            ],
            [
                1.370957533676711e-06,
                3.2887506335906595e-06,
                2.5612816000331606e-06,
                7.338209805090567e-07,
                1.3709575336947905e-06,
                2.2603234894745224e-06,
                1.5534977545243671e-06,
                1.7603436329714805e-06,
                1.994730434847717e-06,
                2.561283431986506e-06
            ],
            [
                0.9999989322968753,
                0.9999945777810305,
                0.9999984465024306,
                0.9999982396565769,
                0.9999984465022455,
                0.9999885212277709,
                0.9999974387180947,
                0.9999930377404305,
                0.9999984465018751,
                0.9999967112497584
            ],
            [
                1.0677033791495609e-06,
                3.726638395415398e-06,
                1.9947306726594253e-06,
                1.2098658277181688e-06,
                1.3709570434054234e-06,
                1.3709568799679844e-06,
                9.422442569028803e-07,
                1.209865250822125e-06,
                4.222833444429485e-06,
                1.7603434231385591e-06
            ],
            [
                0.999994577782323,
                0.9999977396754327,
                0.9999980052707541,
                0.9999898700126446,
                0.9999980052709919,
                0.9999930377412607,
                0.9999785550413645,
                0.9999986290432834,
                0.9999910603047624,
                0.9999977396748938
            ],
            [
                1.994730434816876e-06,
                5.715005832853093e-07,
                3.2887482812506295e-06,
                6.144176798870286e-06,
                1.5534983101549167e-06,
                2.902311639126627e-06,
                3.2887490652810324e-06,
                3.2887506333812835e-06,
                1.9947299592407137e-06,
                8.939697368305565e-06
            ],
            [
                0.9999980052693274,
                0.9999832985701931,
                0.9999970976880148,
                0.999998790134605,
                0.999983298574178,
                0.9999785550464758,
                0.9999599363030699,
                0.9999989322968753,
                0.9999945777784447,
                0.9999977396759716
            ],
            [
                3.5356254894393866e-05,
                1.1478772227651366e-05,
                8.939694171331106e-06,
                2.9023112929973233e-06,
                1.012998735462479e-05,
                4.785096205347206e-06,
                1.7603430033799313e-06,
                1.300712691308661e-05,
                4.2228319341064674e-06,
                6.962254589104433e-06
            ],
            [
                8.939699500327152e-06,
                5.422220262333096e-06,
                3.726638839806038e-06,
                2.753568780461672e-05,
                7.889262585642319e-06,
                5.422221555296344e-06,
                8.939699500766203e-06,
                1.1478768125577027e-05,
                5.422217676654099e-06,
                2.7535697662094155e-05
            ],
            [
                1.89251527491092e-05,
                1.3709570433979422e-06,
                1.99472995920443e-06,
                3.7266392839832006e-06,
                2.260324028372372e-06,
                1.9947292458603553e-06,
                9.422447062202052e-07,
                8.93969630362837e-06,
                1.7603427935967163e-06,
                2.5612828213352452e-06
            ],
            [
                1.9947297214544894e-06,
                7.889264466230069e-06,
                2.561281294644835e-06,
                3.7266410608720178e-06,
                1.3709570434054234e-06,
                1.994729483666479e-06,
                1.5534983100765009e-06,
                2.9023109470554753e-06,
                6.962253759157502e-06,
                7.338208055436404e-07
            ],
            [
                6.962259569117366e-06,
                4.222835458117536e-06,
                4.222832437497486e-06,
                2.2603237589676295e-06,
                4.222834451215781e-06,
                1.5534975693707442e-06,
                3.7266401725681614e-06,
                1.5534975693792215e-06,
                5.4222215552470286e-06,
                1.4738983727256784e-05
            ],
            [
                4.2228329408924035e-06,
                1.9947292458603553e-06,
                2.561283431916622e-06,
                6.962259569117366e-06,
                1.3007133114886634e-05,
                1.7603438428564603e-06,
                7.889266347133978e-06,
                1.99473067264854e-06,
                2.260324028306588e-06,
                1.8925143725341476e-05
            ],
            [
                4.7850956352353935e-06,
                5.42221767672807e-06,
                1.067703251769523e-06,
                6.475948753676801e-07,
                4.22283394762097e-06,
                3.2887486732358968e-06,
                2.2603240272766577e-06,
                4.222832940777184e-06,
                1.760343632774555e-06,
                1.0677032518501217e-06
            ],
            [
                1.2098659719716573e-06,
                7.338213304283347e-07,
                2.902310947190096e-06,
                6.475949525981759e-07,
                6.475947981975644e-07,
                6.475947981904966e-07,
                6.475946437928669e-07,
                9.422447062094932e-07,
                1.9947304348332037e-06,
                1.0677029973158649e-06
            ],
            [
                4.785093924251918e-06,
                7.338208055369664e-07,
                6.9622587393661365e-06,
                1.5534979397677313e-06,
                1.2098659719716573e-06,
                8.93969310662177e-06,
                1.760343842833246e-06,
                2.260324567177841e-06,
                3.7266410609940346e-06,
                3.288749457409966e-06
            ],
            [
                1.370957533676711e-06,
                3.288749457383046e-06,
                1.0677027427471959e-06,
                3.2887502415438413e-06,
                1.7603425836678333e-06,
                1.760343423160973e-06,
                1.3709575336860625e-06,
                1.0677027427525368e-06,
                1.3709570433979422e-06,
                4.785093924103951e-06
            ],
            [
                5.422221554926484e-06,
                1.0677027427413698e-06,
                1.2098662603862553e-06,
                2.902311293147782e-06,
                1.994730434778778e-06,
                2.5612828213818346e-06,
                1.7603436329978976e-06,
                9.422445938964242e-07,
                5.043475284447896e-07,
                1.5534984953199313e-06
            ],
            [
                0.9999339478711182,
                0.9999485578047641,
                0.9999485577986323,
                0.9999885212318748,
                0.9999885212277693,
                0.9999869928668839,
                0.9999417087067041,
                0.9999339478632202,
                0.9999945777816768,
                0.9999785550490315
            ],
            [
                1.067702615468225e-06,
                1.892514372737249e-05,
                3.288750241410738e-06,
                7.889264465699106e-06,
                6.144173869240119e-06,
                1.0677031245783732e-06,
                2.9023133690425823e-06,
                2.2603248367512505e-06,
                3.726639728184142e-06,
                5.422220262333096e-06
            ],
            [
                0.9999898700114359,
                0.9999986290427931,
                0.9999945777816767,
                0.9999945777790913,
                0.9999151889485459,
                0.9999869928653348,
                0.9999810748562757,
                0.9999984465015046,
                0.9999967112517187,
                0.9999989322967481
            ],
            [
                2.260323758882316e-06,
                1.0677024881887838e-06,
                6.962254589617333e-06,
                4.222833947774596e-06,
                8.939693106182721e-06,
                6.14417313680765e-06,
                1.2098656834834034e-06,
                3.2887498493325602e-06,
                3.2887490652810324e-06,
                1.5534981249164537e-06
            ],
            [
                5.42221767672807e-06,
                3.2887490653408545e-06,
                4.7850950648799385e-06,
                5.422220908762902e-06,
                1.2098655392662613e-06,
                3.7266397283231055e-06,
                4.222835458002318e-06,
                1.4738980213020151e-05,
                1.7603430034311638e-06,
                4.785093353739995e-06
            ],
            [
                1.0677024881941248e-06,
                1.5534975693601474e-06,
                5.715005832762133e-07,
                3.288749457432399e-06,
                1.2098655392871682e-06,
                6.144175334239434e-06,
                2.5612815999679353e-06,
                8.939693104865575e-06,
                1.209865539274514e-06,
                2.902312677007974e-06
            ],
            [
                1.2098661161982042e-06,
                1.5534977545603963e-06,
                3.726640172503764e-06,
                5.715004470295662e-07,
                4.785092783267308e-06,
                1.3709570434122812e-06,
                1.7603436330091044e-06,
                2.2603242978665707e-06,
                1.3709573702647743e-06,
                6.475948753991907e-07
            ],
            [
                6.962259568775433e-06,
                2.9023119851055122e-06,
                1.994729245878497e-06,
                6.144172404129392e-06,
                1.2098662604247682e-06,
                7.889260704631679e-06,
                1.209865250822125e-06,
                1.9947299592570416e-06,
                1.994729008105057e-06,
                5.422218323290717e-06
            ],
            [
                0.999992110738355,
                0.9999974387177893,
                0.999995777166052,
                0.9999970976869769,
                0.9999982396569965,
                0.9999898700078128,
                0.9999898700090211,
                0.9999957771680658,
                0.9999832985761679,
                0.9999869928668843
            ],
            [
                5.422219615750493e-06,
                1.994729483608425e-06,
                1.5534975693205863e-06,
                1.209866116170145e-06,
                3.726639728184142e-06,
                9.422443691893433e-07,
                2.2603245672867952e-06,
                4.785093923690512e-06,
                3.288749849368453e-06,
                4.222834451215781e-06
            ],
            [
                0.9998911030647778,
                0.9992903295365868,
                0.9998601779593687,
                0.999769493257463,
                0.9997040427949182,
                0.9999485577924765,
                0.9998766053957809,
                0.9999038976193633,
                0.9986749773645001,
                0.9999724643121822
            ],
            [
                8.315277302701984e-07,
                2.9023109471188266e-06,
                9.422442569208767e-07,
                1.7603438428660665e-06,
                2.2603245672867952e-06,
                1.209866116137134e-06,
                2.561283431942246e-06,
                3.288750633518874e-06,
                2.2603237588597026e-06,
                2.9023126771227976e-06
            ],
            [
                3.0590229985449037e-07,
                2.3823690999160957e-07,
                1.3709570434054234e-06,
                2.2603234894745224e-06,
                1.0677028700363782e-06,
                1.3709576971316842e-06,
                1.0677029972993568e-06,
                3.059021904580685e-07,
                2.2603234895053587e-06,
                7.338213304316717e-07
            ],
            [
                0.9999970976880149,
                0.9999898700078128,
                0.999981074842739,
                0.9999885212277692,
                0.9999945777823229,
                0.9999977396751633,
                0.9999930377429204,
                0.9999945777810304,
                0.9999921107336528,
                0.9999977396762411
            ],
            [
                1.5534983101393749e-06,
                6.475947981975644e-07,
                2.902311985146426e-06,
                1.0677028700203557e-06,
                7.338211554688417e-07,
                1.994730434816876e-06,
                2.561283126679493e-06,
                9.42244256915735e-07,
                1.3709572068272963e-06,
                1.2098659719601033e-06
            ],
            [
                2.260324297853209e-06,
                1.2098661161927025e-06,
                1.7603430034311638e-06,
                6.144172404302622e-06,
                1.3709572068422585e-06,
                1.3709578605542582e-06,
                2.2603234895053587e-06,
                3.9278605979208185e-07,
                2.2603245673279107e-06,
                4.222833947897496e-06
            ],
            [
                2.5612815999679353e-06,
                2.260323489490968e-06,
                1.7603438428460541e-06,
                2.5612816000646084e-06,
                1.9947299592407137e-06,
                1.99473067264854e-06,
                1.370957533676711e-06,
                3.726640172503764e-06,
                1.7603425837366772e-06,
                3.726639284017094e-06
            ],
            [
                2.5612831266165976e-06,
                2.9023109468548636e-06,
                3.2887494573232236e-06,
                1.2098658277181688e-06,
                1.0129995809929273e-05,
                1.0129995809763438e-05,
                2.902311293147782e-06,
                6.96225873895455e-06,
                3.2887498493325602e-06,
                7.338212429464139e-07
            ],
            [
                8.315283250260307e-07,
                1.7603438428188364e-06,
                6.475945665900901e-07,
                8.315282258900085e-07,
                7.338210679979539e-07,
                8.315277302588544e-07,
                7.338208055579897e-07,
                4.22283344433731e-06,
                1.0677032518578904e-06,
                8.315278293899016e-07
            ],
            [
                3.7266383953679482e-06,
                6.144174600605357e-06,
                4.222834451254188e-06,
                9.422442569208767e-07,
                9.422450431912e-07,
                1.0129987356375273e-05,
                1.7603430034743913e-06,
                1.2098653950403334e-06,
                2.260324297853209e-06,
                1.3007123812057577e-05
            ],
            [
                1.5534971989992774e-06,
                1.5534977545497995e-06,
                4.222831934248571e-06,
                3.7266392839425286e-06,
                1.76034300345598e-06,
                4.222834954514924e-06,
                3.288749065167371e-06,
                7.889259764359722e-06,
                6.962253759157502e-06,
                2.9023123309973302e-06
            ],
            [
                1.3709570433786157e-06,
                1.99472995920443e-06,
                6.475950297942253e-07,
                1.0677029973056687e-06,
                4.22283344433731e-06,
                6.475949525919915e-07,
                2.260324836651547e-06,
                1.370957533676711e-06,
                6.9622587393661365e-06,
                1.5534981249023245e-06
            ],
            [
                7.338208055489796e-07,
                6.475947981860793e-07,
                5.422220261849814e-06,
                3.726640616630245e-06,
                3.7266397282926013e-06,
                1.7603436329714805e-06,
                2.9023109471188266e-06,
                7.338207180838067e-07,
                3.7266392839832006e-06,
                1.2098653950480359e-06
            ],
            [
                0.9999930377420904,
                0.9999952149072167,
                0.9999930377437504,
                0.9999945777829693,
                0.9999898700041905,
                0.999964643736649,
                0.9999898700053974,
                0.9999810748427375,
                0.9999957771650454,
                0.9999852610180293
            ],
            [
                2.5612825160096693e-06,
                1.5534973841450852e-06,
                8.315284241597959e-07,
                1.9947297214944016e-06,
                1.1478773596283455e-05,
                2.9023109470554753e-06,
                9.422442569208767e-07,
                2.5612815999679353e-06,
                3.2887506335906595e-06,
                5.043474683126242e-07
            ],
            [
                2.902312331081799e-06,
                2.260325375634003e-06,
                3.288749457432399e-06,
                6.475951069961737e-07,
                7.338208055536515e-07,
                7.338213304283347e-07,
                7.338212429464139e-07,
                1.067703379136937e-06,
                8.315277302819205e-07,
                1.9947301970106386e-06
            ],
            [
                1.0129994602222992e-05,
                3.2887498493983645e-06,
                3.7266379513162962e-06,
                8.939695237666677e-06,
                6.962257079465052e-06,
                4.222833947774596e-06,
                3.726639728262097e-06,
                8.939695238333382e-06,
                3.288750633545794e-06,
                1.1478764019077695e-05
            ],
            [
                4.7850944943330625e-06,
                3.726639284017094e-06,
                4.7850939242083995e-06,
                2.5612819052654485e-06,
                5.043475885606781e-07,
                1.3709576971160984e-06,
                1.4738983726184394e-05,
                1.3709568799106278e-06,
                7.338210679949506e-07,
                1.7603425837606927e-06
            ],
            [
                5.422219615829396e-06,
                5.715003107689177e-07,
                1.370956716519966e-06,
                1.1478768125201194e-05,
                1.5534981249496567e-06,
                4.222831934156396e-06,
                4.785093924103951e-06,
                4.222832437639588e-06,
                7.889263525261671e-06,
                2.5612834320214477e-06
            ],
            [
                2.90231233114251e-06,
                6.475948753965404e-07,
                1.0677027427340866e-06,
                4.222832437639588e-06,
                3.2887482811908074e-06,
                2.902311985079115e-06,
                4.222833947428939e-06,
                7.88926258532661e-06,
                3.726640172337686e-06,
                6.1441724044534996e-06
            ],
            [
                0.999993855826131,
                0.9999885212359801,
                0.9999417087275438,
                0.9999546021097243,
                0.9999962733598274,
                0.9999898700066059,
                0.9999962733616045,
                0.9999990577551815,
                0.9999982396561572,
                0.9999986290432834
            ],
            [
                7.889262585211807e-06,
                3.288749849477628e-06,
                1.370957860567974e-06,
                1.9947301970287804e-06,
                1.9947299592570416e-06,
                9.422444815726566e-07,
                3.7266392838544054e-06,
                9.422445938964242e-07,
                1.0677026154774503e-06,
                1.5534979397267575e-06
            ],
            [
                6.475947981975644e-07,
                4.450852111120808e-07,
                2.561282210701601e-06,
                1.0677028700130727e-06,
                2.9023119851055122e-06,
                1.0677024881761599e-06,
                1.4738985484549675e-05,
                2.902312677007974e-06,
                1.3709576970824327e-06,
                3.726640172503764e-06
            ],
            [
                1.5534979397677313e-06,
                1.3709578605617394e-06,
                6.144176066672166e-06,
                2.2603242978213447e-06,
                4.785096776394765e-06,
                1.5534975693707442e-06,
                2.561281294644835e-06,
                1.7603427936183298e-06,
                4.222832437639588e-06,
                3.7266379512857925e-06
            ],
            [
                4.222833444383398e-06,
                1.3709576971061233e-06,
                3.288748673319648e-06,
                1.994730434847717e-06,
                4.785096205830278e-06,
                4.222833444229772e-06,
                1.553498495308628e-06,
                2.260325375634003e-06,
                1.2098662603961589e-06,
                2.9023109470871505e-06
            ],
            [
                2.102433159721477e-07,
                7.33820980469346e-07,
                9.422447062202052e-07,
                9.422443692390473e-07,
                4.4508521110175827e-07,
                1.0677026154551157e-06,
                7.338209805170655e-07,
                3.4663270374947136e-07,
                1.0677032518748838e-06,
                4.4508505193123265e-07
            ],
            [
                1.3709570434054234e-06,
                1.9947301970587145e-06,
                1.2098652508347793e-06,
                1.3709576971160984e-06,
                5.04347528440776e-07,
                5.715007195410849e-07,
                6.144174601499446e-06,
                6.475946437996402e-07,
                6.47594566594213e-07,
                2.5612819053399912e-06
            ],
            [
                3.7266379512112265e-06,
                9.42244930862237e-07,
                1.7603432133032607e-06,
                7.338212429562581e-07,
                2.561283126679493e-06,
                1.7603436330179102e-06,
                1.760343213322473e-06,
                9.422448185388577e-07,
                1.3709578605455302e-06,
                3.0590226338671677e-07
            ],
            [
                1.994729245878497e-06,
                1.0677031245710902e-06,
                1.2098662603862553e-06,
                1.7603432132464244e-06,
                2.902312677007974e-06,
                1.7603436329978976e-06,
                1.0677024881761599e-06,
                4.222833444506298e-06,
                3.2887494573232236e-06,
                1.760342793583908e-06
            ],
            [
                4.222834954607099e-06,
                2.2603245672497918e-06,
                3.288750241473551e-06,
                1.5534979397500702e-06,
                6.962257908487893e-06,
                7.889264466115267e-06,
                3.288750633488963e-06,
                1.553498310118888e-06,
                2.9023112930949896e-06,
                2.902312677060767e-06
            ],
            [
                2.902310947190096e-06,
                3.4663262110425684e-07,
                3.9278605979011705e-07,
                8.315280276263186e-07,
                5.7150044702099e-07,
                8.31528126775552e-07,
                3.927861534370498e-07,
                5.043472278159142e-07,
                1.99473067264854e-06,
                5.71500515151976e-07
            ],
            [
                0.9998911030907974,
                0.9999967112517192,
                0.9999810748540188,
                0.9999957771675624,
                0.9999724643056213,
                0.9999962733593832,
                0.9999957771645419,
                0.9999938558239332,
                0.9999930377412604,
                0.9999945777790911
            ],
            [
                0.9999885212291385,
                0.9999646437619484,
                0.9999852610110046,
                0.9999756997505882,
                0.999995777167059,
                0.999997438716568,
                0.9999930377462402,
                0.9999756997534811,
                0.999964643732444,
                0.9999945777803839
            ],
            [
                0.9999938558232008,
                0.999998446502801,
                0.9999756997592727,
                0.9999921107345933,
                0.9999980052707541,
                0.9999980052700408,
                0.9999756997476829,
                0.9999945777784447,
                0.9999921107336531,
                0.999964643757743
            ],
            [
                0.9999982396559473,
                0.9999869928730869,
                0.9999938558224686,
                0.9999974387171787,
                0.9999930377445803,
                0.9999945777784447,
                0.9999962733611601,
                0.9999910602994339,
                0.9999980052707541,
                0.9999977396746244
            ],
            [
                0.9999980052702785,
                0.9999993524053562,
                0.9999898700053983,
                0.9999952149037942,
                0.9999984465016899,
                0.9999885212277696,
                0.999993855825398,
                0.9999938558261308,
                0.9999984465026158,
                0.9999885212277698
            ],
            [
                2.902310947208574e-06,
                2.9023109470554753e-06,
                2.260324028351814e-06,
                7.88926352599354e-06,
                2.5612831266608576e-06,
                6.962254589433702e-06,
                2.5612831266946347e-06,
                1.3709575336860625e-06,
                3.7266397282926013e-06,
                5.715002426439334e-07
            ],
            [
                0.9999921107392955,
                0.999992110736474,
                0.9999852610145155,
                0.9999967112505425,
                0.9999898700126428,
                0.9999417087345043,
                0.9999599362887179,
                0.9999982396561571,
                0.9999962733598274,
                0.9999945777803838
            ],
            [
                0.999991060301566,
                0.9999756997505863,
                0.9999957771650453,
                0.9999885212277699,
                0.9999957771650453,
                0.9999921107364742,
                0.9999990577556307,
                0.9999970976866309,
                0.9999898700053986,
                0.999996273360716
            ],
            [
                1.2098659719524008e-06,
                2.260323758806253e-06,
                4.785092783319532e-06,
                4.222834954607099e-06,
                7.889261644875049e-06,
                7.889261644501938e-06,
                2.2603251061664e-06,
                3.288749849368453e-06,
                5.422217677028889e-06,
                1.7603436329978976e-06
            ],
            [
                4.222834954607099e-06,
                4.785092783319532e-06,
                7.88925976418034e-06,
                2.2603248367358324e-06,
                2.2603240283888175e-06,
                2.9023109471188266e-06,
                3.726640172337686e-06,
                2.9023130230133794e-06,
                1.0677033791437343e-06,
                4.2228349547223175e-06
            ],
            [
                4.785095065045315e-06,
                2.5612816000331606e-06,
                1.7603436330091044e-06,
                4.785093353352668e-06,
                1.2098653950403334e-06,
                9.422442569208767e-07,
                1.3709568799368123e-06,
                6.144174601879434e-06,
                3.7266392840781026e-06,
                3.288748281220719e-06
            ],
            [
                0.9999546021097292,
                0.9999485577679911,
                0.9999785550515903,
                0.9999832985701931,
                0.9999957771680656,
                0.9999938558268628,
                0.9999810748449955,
                0.9999417087136441,
                0.9999945777816768,
                0.9999967112493664
            ],
            [
                0.9999974387187053,
                0.9999885212359798,
                0.9999945777790911,
                0.9999921107364741,
                0.9999957771655487,
                0.9999832985721836,
                0.9999417087344882,
                0.9999646437493034,
                0.9999810748517602,
                0.999997097686977
            ],
            [
                4.785095635592258e-06,
                1.994729245878497e-06,
                2.9023109471689794e-06,
                8.93969630333567e-06,
                6.144176799099397e-06,
                1.3709576971242028e-06,
                1.5534975693707442e-06,
                4.785093924156175e-06,
                3.288749849368453e-06,
                4.785095635296322e-06
            ],
            [
                1.067702488159652e-06,
                1.7603425837494853e-06,
                7.889265406904397e-06,
                2.5612819052654485e-06,
                1.670142980380249e-05,
                6.144175334239434e-06,
                8.9396941718352e-06,
                6.144174601499446e-06,
                5.422219615898437e-06,
                1.5534977545497995e-06
            ],
            [
                0.9999599362982599,
                0.9999852610215436,
                0.9999885212277696,
                0.9999898700102283,
                0.9998911031168874,
                0.9999852610197857,
                0.9998766054255219,
                0.9998415637082565,
                0.9999832985701927,
                0.9999251537370755
            ],
            [
                1.76034300345598e-06,
                7.338208055613267e-07,
                1.0677029973114952e-06,
                9.422443692446175e-07,
                1.0677032518578904e-06,
                1.7603436330091044e-06,
                5.043475885657239e-07,
                4.785095065045315e-06,
                4.4508521110762794e-07,
                9.422445939002803e-07
            ],
            [
                1.370956879949281e-06,
                1.9947294834469616e-06,
                1.9947299592407137e-06,
                6.475946437928669e-07,
                2.260325375615501e-06,
                1.5534973841592143e-06,
                2.6995784182073116e-07,
                8.315283250082584e-07,
                4.78509506499309e-06,
                5.422218969601935e-06
            ],
            [
                8.315277302788957e-07,
                5.4222202623972055e-06,
                1.0677029973158649e-06,
                4.222835458044565e-06,
                2.2603242978213447e-06,
                2.5612828212909852e-06,
                1.0677031245783732e-06,
                2.902313023039776e-06,
                1.2098661161602417e-06,
                1.994729483694599e-06
            ],
            [
                1.760343423160973e-06,
                1.0677027427471959e-06,
                1.5534971989907999e-06,
                3.726638395415398e-06,
                6.475950297906914e-07,
                5.715003789017068e-07,
                2.260323758939877e-06,
                1.7603432132624344e-06,
                3.9278605979011705e-07,
                2.260323489490968e-06
            ],
            [
                0.9999938558268633,
                0.9999987901338838,
                0.9999869928653338,
                0.9999957771680659,
                0.9999967112493665,
                0.9999974387187053,
                0.9999970976873229,
                0.999998629042303,
                0.9999977396765105,
                0.9999986290421394
            ],
            [
                4.785094494672519e-06,
                2.9023109471689794e-06,
                9.422448185388577e-07,
                3.2887498493983645e-06,
                1.9947301970587145e-06,
                1.3709575336947905e-06,
                2.2603245673155757e-06,
                8.315278294038928e-07,
                2.56128282131428e-06,
                6.47594952595231e-07
            ],
            [
                4.222831934202483e-06,
                3.927862470840049e-07,
                2.561281599881745e-06,
                1.3709573702566696e-06,
                5.04347468318358e-07,
                1.994729483666479e-06,
                6.475946437996402e-07,
                5.71500515151976e-07,
                1.9947306726358406e-06,
                2.902310947208574e-06
            ],
            [
                1.0677028700130727e-06,
                2.561283431916622e-06,
                3.2887478891487563e-06,
                9.42244256915735e-07,
                1.5534973841895917e-06,
                1.3709578605542582e-06,
                3.2887490653408545e-06,
                3.288749457409966e-06,
                9.422442569208767e-07,
                3.2887478891128633e-06
            ],
            [
                1.5534971987506078e-06,
                2.2603248367173307e-06,
                1.7603436330091044e-06,
                1.670141984792864e-05,
                1.3709572068354007e-06,
                1.0677028700130727e-06,
                1.3709576971160984e-06,
                2.902313023063532e-06,
                6.144174601499446e-06,
                1.6701421842961097e-05
            ],
            [
                3.7266379512112265e-06,
                2.260324028281919e-06,
                3.7266379512857925e-06,
                6.475949525981759e-07,
                1.9947290081286418e-06,
                1.6701423829123058e-05,
                1.5534979397500702e-06,
                2.902311985146426e-06,
                6.962257079376403e-06,
                1.9947290081177566e-06
            ],
            [
                4.222833444283541e-06,
                1.5534975693488444e-06,
                1.0677028700053041e-06,
                1.5534971989696065e-06,
                2.902311293147782e-06,
                4.222833947897496e-06,
                4.450851049941403e-07,
                4.785092783267308e-06,
                8.3152792852928e-07,
                1.3709568799592562e-06
            ],
            [
                2.2603248367358324e-06,
                1.3709570433979422e-06,
                1.0677024881499412e-06,
                8.315277302788957e-07,
                1.5534979397592542e-06,
                1.0677029973056687e-06,
                3.726641061027928e-06,
                2.2603248367173307e-06,
                2.260323758835034e-06,
                4.785092783371756e-06
            ],
            [
                2.5612819053399912e-06,
                5.715002426439334e-07,
                3.927861066170637e-07,
                2.902313023063532e-06,
                1.5534983101301911e-06,
                1.99473067264854e-06,
                2.561283432005142e-06,
                9.422449308673789e-07,
                2.382369667929001e-07,
                3.9278605979208185e-07
            ],
            [
                2.90231233114251e-06,
                1.7603434231505666e-06,
                5.71500515151976e-07,
                1.9947290081177566e-06,
                6.475951069808602e-07,
                4.222834451215781e-06,
                1.9947292458930106e-06,
                4.785095065132354e-06,
                2.902312677104321e-06,
                1.3709570434122812e-06
            ],
            [
                9.422448185435711e-07,
                1.7603425837494853e-06,
                1.994729245842213e-06,
                1.9947301970106386e-06,
                1.3709575336947905e-06,
                1.994729483630195e-06,
                7.338212429167144e-07,
                2.9023109471689794e-06,
                2.902310947208574e-06,
                1.7603436329714805e-06
            ],
            [
                2.561282515988704e-06,
                2.2603242978213447e-06,
                5.4222202623972055e-06,
                4.222833947897496e-06,
                1.9947306726213275e-06,
                5.422219616026655e-06,
                1.0677028700266676e-06,
                5.4222170304318e-06,
                2.2603240283888175e-06,
                3.2887478891128633e-06
            ],
            [
                1.3709572068179446e-06,
                9.422445938797133e-07,
                4.785093924103951e-06,
                2.9023116391477434e-06,
                3.726639728224814e-06,
                2.902312331081799e-06,
                8.315278294038928e-07,
                4.785094494402695e-06,
                2.5612812946681295e-06,
                1.0677033791437343e-06
            ],
            [
                4.222832437747125e-06,
                3.726638839656906e-06,
                1.5534981249496567e-06,
                3.726638839806038e-06,
                2.2603251061849014e-06,
                2.2603234895176927e-06,
                1.9947297214544894e-06,
                3.2887490653872164e-06,
                3.2887494573561262e-06,
                1.9947304348595095e-06
            ],
            [
                5.422220262264056e-06,
                1.3709567165087443e-06,
                5.715003789017068e-07,
                3.7266388398585725e-06,
                2.902311985079115e-06,
                7.338212429537553e-07,
                3.7266410608720178e-06,
                5.7150044702099e-07,
                6.1441767990323395e-06,
                3.288750633545794e-06
            ],
            [
                2.2603248367358324e-06,
                1.0677029973056687e-06,
                2.561282515853595e-06,
                3.288748673319648e-06,
                9.422450431912e-07,
                1.7603430034743913e-06,
                3.726639728262097e-06,
                1.2098659719716573e-06,
                8.315283250371857e-07,
                5.043474081993875e-07
            ],
            [
                3.288747889038086e-06,
                1.760344052693435e-06,
                8.939699500896292e-06,
                6.9622579095833456e-06,
                8.315281267800897e-07,
                6.9622579092224155e-06,
                8.315278293951957e-07,
                4.785096205830278e-06,
                1.5534979397267575e-06,
                2.561281294616881e-06
            ],
            [
                8.939699500327152e-06,
                3.288750633488963e-06,
                1.2098662604192665e-06,
                4.222834954607099e-06,
                3.28874867308036e-06,
                5.422220908314139e-06,
                1.370956716529941e-06,
                4.22283394786293e-06,
                2.902311639073834e-06,
                5.422217030555087e-06
            ]
        ]
    },
    {
        "q_id": "10758_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9986749778722439,
                0.9984988177362831,
                0.9984988177022559,
                0.9992903294543592,
                0.9995121427705821,
                0.9982992777269221,
                0.9997040427958052,
                0.9996200155156378,
                0.9940889305226194,
                0.9984988174036893
            ],
            [
                0.9999990577557432,
                0.9999994956524115,
                0.9999994956525918,
                0.9999982396567868,
                0.9999992661790196,
                0.9999994956525318,
                0.9999994284994849,
                0.9999984465018751,
                0.9999996940976272,
                0.9999991684722697
            ],
            [
                0.9999970976866309,
                0.9999945777816783,
                0.9999989322973846,
                0.9999852610215512,
                0.9999945777829706,
                0.9999930377412617,
                0.9999962733611603,
                0.9999989322970029,
                0.9999962733593833,
                0.9999987901343166
            ],
            [
                0.9999339478790946,
                0.9997040427609998,
                0.9998766054110061,
                0.9999687980849181,
                0.9999599362887179,
                0.999964643749305,
                0.999860177942768,
                0.9999339478239136,
                0.9999646437408817,
                0.9999251537906851
            ],
            [
                0.9999986290423029,
                0.9999957771660526,
                0.9999986290429567,
                0.9999991684721706,
                0.9999980052705164,
                0.9999952149049355,
                0.9999994956525317,
                0.9999990577556308,
                0.9999996533672962,
                0.9999990577550691
            ],
            [
                0.9999980052700408,
                0.9999977396748938,
                0.9999991684715758,
                0.999999266178757,
                0.9999993524053563,
                0.9999990577556308,
                0.9999989322968755,
                0.9999990577555185,
                0.9999993524050474,
                0.9999987901344608
            ],
            [
                0.9999996072138934,
                0.9999991684717742,
                0.9999990577556307,
                0.9999989322975118,
                0.9999991684720715,
                0.9999986290426298,
                0.9999984465016899,
                0.999998629042303,
                0.9999984465026159,
                0.9999977396751634
            ],
            [
                0.5,
                0.9999546021479948,
                0.999981074858559,
                0.9997694933187457,
                0.5926665999540698,
                0.9997388097569464,
                0.7981867801399694,
                0.9998911030657498,
                0.9999756997603741,
                0.9998415637267211
            ],
            [
                1.7603427935967163e-06,
                5.04347648686092e-07,
                1.7603434231385591e-06,
                5.04347648686092e-07,
                9.422443692390473e-07,
                1.0129993394129904e-05,
                1.3709568799760888e-06,
                2.260324028331257e-06,
                7.889265406681968e-06,
                9.422445939002803e-07
            ],
            [
                0.9971990736779914,
                0.995929862421898,
                0.9998911030519679,
                0.9964063981547316,
                0.9994472213911505,
                0.9989677688221941,
                0.9990889488776546,
                0.9964063978612715,
                0.9996200155607524,
                0.9984988179048484
            ],
            [
                0.9992903295398066,
                0.999933947879035,
                0.9998766054401742,
                0.9999151889586936,
                0.9890130587760818,
                0.9986749778489827,
                0.9999785550592969,
                0.9992903297346019,
                0.9999485578047951,
                0.9999646437366568
            ],
            [
                0.9998766054255039,
                0.9998601779593483,
                0.8175744695262777,
                0.9998204720127897,
                0.5312093733737562,
                0.867035752930664,
                0.999820472077907,
                0.6513548646660542,
                0.9995694428602566,
                0.9999546021151737
            ],
            [
                0.999994577781037,
                0.9999930377429207,
                0.9999646437593515,
                0.8670357512127873,
                0.9999921107402359,
                0.9999938558246659,
                0.999972464318797,
                0.999978555056803,
                0.9999339478238862,
                0.999968798081212
            ],
            [
                7.338212429367364e-07,
                1.3709578605455302e-06,
                1.2098656834834034e-06,
                1.0129995807699706e-05,
                5.715002426439334e-07,
                7.338208055613267e-07,
                8.315277302747361e-07,
                1.9947306725868575e-06,
                1.3709572068422585e-06,
                1.0677028700266676e-06
            ],
            [
                0.9998415637077608,
                0.9971990734367245,
                0.9999832985781563,
                0.9968273171685601,
                0.9997388096601876,
                0.9984988173970584,
                0.9997965729783136,
                0.99937366597597,
                0.9995121428864139,
                0.9994472213904109
            ],
            [
                0.9999810748562776,
                0.999997438716568,
                0.9999938558253988,
                0.9999957771655492,
                0.9999962733620489,
                0.9999785550413652,
                0.9999938558224688,
                0.9999785550541502,
                0.9999980052707541,
                0.9999970976866313
            ],
            [
                0.9999724643056468,
                0.9999038975392727,
                0.999964643732436,
                0.999983298576167,
                0.9999417087414243,
                0.9999646437366672,
                0.9999687980886323,
                0.9989677691784831,
                0.9997965730028107,
                0.9986749775666117
            ],
            [
                0.9999724643023523,
                0.9997388097536861,
                0.9875683490896445,
                0.9997388097917604,
                0.9953904269232516,
                0.997527377312551,
                0.9994472213238114,
                0.9991959141606158,
                0.9999339478397501,
                0.002800927475667371
            ],
            [
                6.475949525919915e-07,
                2.699577774579753e-07,
                5.04347348070562e-07,
                7.338208055302923e-07,
                5.715007195353674e-07,
                3.2887498494282754e-06,
                3.927862939126708e-07,
                6.475946437996402e-07,
                1.5534971988495103e-06,
                3.9278634072866033e-07
            ],
            [
                0.9902915251033736,
                0.997199072489866,
                0.9998911030649053,
                0.999195913990667,
                0.9999339478324552,
                0.9999646437324375,
                0.9940889305882903,
                0.8933094103149355,
                0.9998766053667367,
                0.9999646437451117
            ],
            [
                0.9993736657556134,
                0.9964063967432877,
                0.9975273763822192,
                0.9770226318462163,
                0.9953904276240582,
                0.9859363714716938,
                0.9890130575718061,
                0.9995121427672046,
                0.9859363710068051,
                0.9933071490230875
            ],
            [
                0.9986749776872317,
                0.9993736659742211,
                0.9998415638400577,
                0.92414182206801,
                0.9669140207770578,
                0.9992903296252953,
                0.9984988175479994,
                0.9988304897579268,
                0.9971990726966661,
                0.9669140204195272
            ],
            [
                0.4073334000459302,
                0.9980732655771081,
                0.46879062662624377,
                0.7310585786300048,
                0.9995121429452521,
                0.9995121428255319,
                0.9971990724254848,
                0.20181323186177208,
                0.99919591395765,
                0.4687906266262437
            ],
            [
                0.9933071504626078,
                0.9964063967682986,
                0.9986749776932397,
                0.9997965729538639,
                0.9998204720986411,
                0.9953904279723248,
                0.9988304897410639,
                0.9990889487692538,
                0.9998911031167798,
                0.9989677687980654
            ],
            [
                0.9999994284992805,
                0.9999990577555185,
                0.9999977396757023,
                0.9999991684715758,
                0.9999996533673375,
                0.9999974387168734,
                0.999998239656367,
                0.9999987901344607,
                0.9999987901341723,
                0.9999991684721706
            ],
            [
                0.9997388097850879,
                0.9991959141506546,
                0.9997965729787457,
                0.999876605410471,
                0.9999852610197867,
                0.9999038975737291,
                0.9999038975736242,
                0.9999339478553524,
                0.9996646499321911,
                0.9995694429155314
            ],
            [
                1.2098656834613962e-06,
                3.2887502413389517e-06,
                1.7603427935678977e-06,
                1.7603425837062577e-06,
                1.7603425837366772e-06,
                2.561283126535066e-06,
                1.5534975693205863e-06,
                4.222832940834793e-06,
                4.222834954514924e-06,
                1.3709578605355551e-06
            ],
            [
                0.32082130731838393,
                0.9980732653877147,
                0.5926665999540698,
                0.9978172837747337,
                0.9953904281859851,
                0.9875683464827048,
                7.889265406567165e-06,
                0.9982992779445384,
                0.9995694428627994,
                0.7310585669110202
            ],
            [
                0.9999984465022456,
                0.9999982396565769,
                0.9999970976876693,
                0.9999989322970027,
                0.999999266178932,
                0.9999986290431201,
                0.9999997617631183,
                0.9999984465026159,
                0.9999987901340281,
                0.9999990577557432
            ],
            [
                0.9999993524050474,
                0.9999989322975118,
                0.9999987901344608,
                0.9999989322971299,
                0.999998932296621,
                0.9999994956524716,
                0.99999862904312,
                0.9999987901346051,
                0.9999989322973846,
                0.9999989322975119
            ],
            [
                0.9993736659742211,
                0.9997965730028551,
                0.9994472213887065,
                0.9999852610180304,
                0.999620015560465,
                0.9999151889789345,
                0.9998911030907348,
                0.9999485577740872,
                0.9988304897444638,
                0.9999038975622865
            ],
            [
                0.9997965729299618,
                0.9991959142456838,
                0.995929861381835,
                0.9959298622765534,
                0.9986749773594166,
                0.9902915213874875,
                0.998073265020569,
                0.9980732655784513,
                0.9968273176817989,
                0.9999251537995654
            ],
            [
                0.9999989322968754,
                0.9999990577556308,
                0.9999986290432835,
                0.9999991684722698,
                0.9999986290426297,
                0.9999994956527121,
                0.9999984465016899,
                0.9999987901341724,
                0.9999986290427931,
                0.9999974387165681
            ],
            [
                0.9796676476219915,
                0.9999599363030746,
                0.9968273169108361,
                0.9998601778761151,
                0.9999417087275438,
                0.9997040428307913,
                7.484623613063591e-05,
                0.9902915253898996,
                0.9998415638024603,
                0.9980732654490548
            ],
            [
                0.999997097687669,
                0.9999151889687937,
                0.9998601779265763,
                0.9999687980960773,
                0.9940889312969882,
                0.9999970976883609,
                0.9999967112513267,
                0.9998911030390306,
                0.9706877673407197,
                0.9998911030650004
            ],
            [
                0.9997388097846623,
                0.9995121427676871,
                0.9996200155637925,
                0.9999151889284437,
                0.9994472213293746,
                0.9999151889486094,
                0.9999151889485612,
                0.9999339478790701,
                0.9999339478239027,
                0.9999151889284437
            ],
            [
                0.9999994956525917,
                0.999999266178932,
                0.9999994284994167,
                0.9999994284995529,
                0.9999989322967482,
                0.9999990577551815,
                0.9999991684715758,
                0.9999991684720715,
                0.9999993524054334,
                0.9999992661790195
            ],
            [
                0.9999898700090211,
                0.9997388095989572,
                0.9998911030525035,
                0.9999898700114408,
                0.9999986290429567,
                0.9998204719919616,
                0.9999251537907967,
                0.9998911030653173,
                0.9999599362983143,
                0.9999832985841434
            ],
            [
                1.9947301970451086e-06,
                2.260323489435463e-06,
                1.7603430034655858e-06,
                0.9998415638020868,
                3.726639728184142e-06,
                5.715003107689177e-07,
                3.2887490653408545e-06,
                5.715003789017068e-07,
                1.9947299592824403e-06,
                9.422442569097361e-07
            ],
            [
                6.475945665800774e-07,
                5.04347348056113e-07,
                5.715005832213768e-07,
                6.475947209638476e-07,
                4.4508521110175827e-07,
                5.04347348056113e-07,
                4.4508521110762794e-07,
                5.715005832572414e-07,
                3.4663262110630603e-07,
                7.338209804987119e-07
            ],
            [
                3.726639727994339e-06,
                1.5534981249164537e-06,
                1.3709568799106278e-06,
                1.3709576971061233e-06,
                1.7603430034311638e-06,
                3.7266383954560706e-06,
                4.22283344433731e-06,
                1.7603425836870455e-06,
                2.9023109470871505e-06,
                1.9947301970451086e-06
            ],
            [
                0.9999992661791944,
                0.9999995549150542,
                0.9999989322970028,
                0.9999996072136592,
                0.9999989322973846,
                0.9999990577554061,
                0.9999991684718732,
                0.9999992661787571,
                0.9999991684715759,
                0.9999995549151073
            ],
            [
                0.9999898700102282,
                0.9999756997563777,
                0.9999957771665557,
                0.9999921107345936,
                0.9999038975507789,
                0.9999832985701952,
                0.9999952149066462,
                0.999997438716568,
                0.9999957771680659,
                0.9999885212332446
            ],
            [
                0.9982992775516035,
                0.9997965730025531,
                0.999195914152572,
                0.9997694931754488,
                0.9978172834902539,
                0.9924227602413683,
                0.9971990733833987,
                0.9997040427596564,
                0.9995694429637546,
                0.9971990732149673
            ],
            [
                0.9999974387165681,
                0.9999995549149481,
                0.9999989322975119,
                0.99999862904312,
                0.9999986290427931,
                0.9999991684719723,
                0.9999996072139402,
                0.9999992661791071,
                0.9999977396759717,
                0.9999967112513268
            ],
            [
                0.9996646500108106,
                0.9993736658231632,
                0.9706877682946817,
                0.9999485577925075,
                0.9999339478790019,
                0.9984988175689392,
                0.9998601779426236,
                0.999925153772784,
                0.9991959139579774,
                0.9997965730509494
            ],
            [
                3.726640172337686e-06,
                3.72664017246987e-06,
                2.260324028331257e-06,
                0.9999485577986323,
                3.2887478889513447e-06,
                1.067703379154416e-06,
                5.422219615898437e-06,
                1.0677024881499412e-06,
                1.760344052693435e-06,
                6.475947209985977e-07
            ],
            [
                0.24508500761839525,
                0.9902915255510706,
                0.9959298631825974,
                0.9046505325302033,
                0.9964063977553923,
                0.3775406687981454,
                0.5,
                0.9998204720985706,
                0.9991959141713721,
                0.9988304898120507
            ],
            [
                0.9999938558268634,
                0.9999996533672135,
                0.9999980052693274,
                0.9999992661790195,
                0.9999885212318752,
                0.9999974387165681,
                0.9999810748540237,
                0.9999987901340281,
                0.9999756997476821,
                0.9999997617630616
            ],
            [
                0.9964063970976077,
                0.9997694933123941,
                0.9982992775290711,
                0.9399133502467732,
                0.9968273170662069,
                0.9940889310999756,
                0.9964063976311719,
                0.999620015425917,
                0.9975273767020927,
                0.97702263163714
            ],
            [
                0.9999832985721984,
                0.9999832985741818,
                0.9999810748495092,
                0.9999921107392964,
                0.9999945777803844,
                0.9999852610110029,
                0.9999984465024306,
                0.9999945777810304,
                0.9999898700053986,
                0.9999810748495133
            ],
            [
                0.982013786780872,
                0.9924227602063515,
                0.9964063980171722,
                0.9994472212595271,
                0.9770226304244967,
                0.9997388096010319,
                0.9984988180657358,
                0.9975273764384985,
                1.0129988562422337e-05,
                0.9996646497986998
            ],
            [
                3.28875063243909e-06,
                1.0677031245312763e-06,
                5.043476486626983e-07,
                7.338213304083124e-07,
                1.5534979395798164e-06,
                8.315283250006957e-07,
                1.0677026153638352e-06,
                7.33820718037422e-07,
                1.5534975692683091e-06,
                7.338213304243302e-07
            ],
            [
                0.9999810748450036,
                0.9999970976876692,
                0.9999038975394474,
                0.9999417087415261,
                0.9999832985721969,
                0.9999957771650508,
                0.9999852610197874,
                0.9999756997622222,
                0.9999785550490354,
                0.9999869928746422
            ],
            [
                0.9994472213281205,
                0.9989677687250789,
                0.9993736659839128,
                0.9990889487765653,
                0.9998204719485422,
                0.9996200155162901,
                0.9997040429013149,
                0.999925153772784,
                0.9997965729305833,
                0.9998415637647267
            ],
            [
                0.9999992661786696,
                0.9999980052707543,
                0.9999986290432835,
                0.9999990577555185,
                0.9999967112517192,
                0.9999980052702786,
                0.9999986290431201,
                0.9999957771670596,
                0.9999986290426298,
                0.9999977396759718
            ],
            [
                0.34864512856608554,
                0.8354835452961425,
                0.9999930377412789,
                0.9399133485636498,
                0.9324533163686646,
                0.9241418131886822,
                0.9999417087561469,
                0.9997388095926723,
                0.8175744806385543,
                0.5
            ],
            [
                0.9999991684715758,
                0.9999952149037946,
                0.9999962733616049,
                0.9999984465026158,
                0.9999992661786695,
                0.9999984465026158,
                0.9999984465022456,
                0.9999998362623723,
                0.9999995549150542,
                0.999998239656367
            ],
            [
                0.9989677688122305,
                0.9999339478238508,
                0.999978555056703,
                0.9998911030518491,
                0.9996646497318664,
                0.9998415638400323,
                0.9999785550515897,
                0.9999646437366505,
                0.9978172830460394,
                0.995929861885822
            ],
            [
                0.9999991684717742,
                0.9999999123574836,
                0.9999990577550693,
                0.9999994284997574,
                0.9999992661792819,
                0.99999976176309,
                0.9999994284994848,
                0.9999997897567091,
                0.9999997617631752,
                0.9999990577557432
            ],
            [
                0.9968273165316137,
                0.9933071494193426,
                0.9992903297127653,
                0.9988304894675887,
                0.5926665999540698,
                0.9995694430156976,
                0.9988304896528067,
                0.4378234991142019,
                0.6791787056691697,
                0.9995121428333373
            ],
            [
                0.9999869928730869,
                0.9999898700126446,
                0.9999599363030484,
                0.9999938558268636,
                0.8670357580842941,
                0.9999485577925175,
                0.9999785550439584,
                0.9999485578047641,
                0.8933094074745445,
                0.999981074849544
            ],
            [
                0.9999977396759716,
                0.9999980052707541,
                0.9999957771675626,
                0.9999980052693275,
                0.9999832985801516,
                0.999997438717484,
                0.9999952149060762,
                0.9999977396765106,
                0.9999885212346133,
                0.9999987901346049
            ],
            [
                0.9999992661791071,
                0.9999984465026159,
                0.9999986290426298,
                0.9999994284993485,
                0.9999996533672962,
                0.9999986290426297,
                0.9999994956524114,
                0.9999990577556307,
                0.9999994284993486,
                0.9999984465015047
            ],
            [
                0.9999994956526519,
                0.9999989322970027,
                0.9999991684719723,
                0.9999993524054335,
                0.9999993524053562,
                0.9999989322973846,
                0.9999992661791944,
                0.9999997300422869,
                0.9999989322970028,
                0.9999990577554061
            ],
            [
                1.553498495338299e-06,
                1.370957370247318e-06,
                1.9947306726358406e-06,
                1.3709578605542582e-06,
                2.2603242978007868e-06,
                1.5534981249291695e-06,
                1.3709568799760888e-06,
                1.760342793583908e-06,
                9.422450431654909e-07,
                2.5612822106421996e-06
            ],
            [
                0.999999730042126,
                0.9999993524050474,
                0.999999266178932,
                0.9999996940977002,
                0.9999997300420937,
                0.9999992661788445,
                0.9999986290424664,
                0.9999945777790918,
                0.9999997617630333,
                0.9999994284994849
            ],
            [
                0.9999996533672549,
                0.9999992661788445,
                0.9999994284993485,
                0.9999984465026159,
                0.9999992661790195,
                0.9999994284992805,
                0.9999977396762413,
                0.9999998362622942,
                0.9999994956527722,
                0.9999996533673375
            ],
            [
                0.9999921107355336,
                0.9999987901346049,
                0.9999646437450858,
                0.9999724642957877,
                0.9999910603015654,
                0.999996711250935,
                0.9999945777810307,
                0.9999974387177895,
                0.9999945777823236,
                0.9999724643089034
            ],
            [
                0.9933071483141624,
                0.8519527982093666,
                0.9992903297112792,
                0.9770226293791145,
                0.9840936100084299,
                0.9947798746788322,
                0.5621765008857981,
                0.5312093733737563,
                0.997527376690607,
                0.7057850340255386
            ],
            [
                0.9999992661791071,
                0.9999994956524114,
                0.9999997300420937,
                0.9999992661786696,
                0.9999994956523514,
                0.9999997897567341,
                0.9999996533674201,
                0.9999991684719723,
                0.9999996072136592,
                0.9999998362622357
            ],
            [
                0.9999990577554061,
                0.9999991684717742,
                0.999999352405279,
                0.9999993524051246,
                0.999999168471675,
                0.9999993524051246,
                0.9999995549151072,
                0.9999982396572065,
                0.9999997897565838,
                0.9999991684720715
            ],
            [
                0.9999982396569966,
                0.9999967112509347,
                0.9999967112513267,
                0.9999996533674615,
                0.999997438716568,
                0.9999970976887069,
                0.9999986290427932,
                0.9999996533674201,
                0.9999977396751634,
                0.9999967112513267
            ],
            [
                2.1024339116082313e-07,
                8.315281267706361e-07,
                5.043475284430694e-07,
                4.7850927830845245e-06,
                3.726640616630245e-06,
                5.71500651413193e-07,
                5.715003107738556e-07,
                7.338211554464836e-07,
                8.315281267513512e-07,
                1.2751905808881762e-07
            ],
            [
                0.9999980052698031,
                0.9999852610180315,
                0.9999993524051246,
                0.9999967112493667,
                0.9999990577552939,
                0.9999986290431201,
                0.9999938558246667,
                0.9999957771655497,
                0.9999987901344608,
                0.9999984465024307
            ],
            [
                0.9999832985821409,
                0.9998601779597612,
                0.9998601779269465,
                0.9999646437408933,
                0.9997965730523878,
                0.9999251537638318,
                0.9999038975622753,
                0.999933947863301,
                0.9999546021097568,
                0.9999724643154813
            ],
            [
                0.9820137918802722,
                0.9999546021367883,
                0.9998415637838666,
                0.7310585903489892,
                0.9997040429009619,
                0.999738809754332,
                0.9999485577741227,
                0.9996200154280837,
                0.9999038975966157,
                0.9999339478789813
            ],
            [
                0.9999994284995529,
                0.9999989322967481,
                0.9999967112513267,
                0.9999986290431201,
                0.9999986290421394,
                0.9999994284994167,
                0.9999992661786695,
                0.9999996533673375,
                0.9999945777823238,
                0.9999996072138934
            ],
            [
                0.9999869928699907,
                0.9999885212277724,
                0.9999832985821396,
                0.9999938558275966,
                0.999948557786366,
                0.9999930377420909,
                0.9999339478632303,
                0.9999921107374159,
                0.9999687980998037,
                0.999995214903224
            ],
            [
                0.9999952149055066,
                0.9999930377454105,
                0.99998329858015,
                0.9999967112513284,
                0.9999339478238761,
                0.9999832985801588,
                0.9978172838472481,
                0.7981867849406659,
                0.9999921107383563,
                2.902311984783477e-06
            ],
            [
                0.9986749774003933,
                0.9999038975966262,
                0.9989677689375559,
                0.9999417087275205,
                0.9991959139728023,
                0.9994472213250333,
                0.9989677688069486,
                0.9996646498514739,
                0.9982992775587191,
                0.9993736657612243
            ],
            [
                0.999925153737126,
                0.9996646499699592,
                0.999925153746081,
                0.9999885212332448,
                0.9999038975966815,
                0.9999957771645419,
                0.99997569976797,
                0.9999785550464814,
                0.9999151889688598,
                0.9997040429721055
            ],
            [
                0.9999785550541487,
                0.9999810748517602,
                0.9999970976876689,
                0.9999785550567043,
                0.9999938558232008,
                0.9999987901337396,
                0.9999930377462403,
                0.99997246431547,
                0.9999930377462404,
                0.9999938558224687
            ],
            [
                0.9964063968800135,
                0.9978172830511105,
                0.9964063978112497,
                0.9992903294618719,
                0.9706877715805506,
                0.9975273766670616,
                0.9933071479302903,
                0.9994472213268984,
                0.9999339478338527,
                0.9975273767187467
            ],
            [
                0.9980732653586117,
                0.9986749775416558,
                0.999512142881617,
                0.9968273174226022,
                0.999290329707523,
                0.9959298629919506,
                0.9953904275022717,
                0.9902915221217109,
                0.9999485577741026,
                0.9980732653550298
            ],
            [
                0.9999957771665565,
                0.9999991684718732,
                0.9999992661792819,
                0.9999986290427931,
                0.999997097687323,
                0.9999982396567867,
                0.9999967112517191,
                0.9999987901344607,
                0.9999974387184001,
                0.9999984465028011
            ],
            [
                0.9999687980962623,
                0.9980732651983213,
                0.9997040428322638,
                0.9953904281282969,
                0.997817283615506,
                0.997527376595851,
                0.9999151889384451,
                0.8519528000888387,
                0.999620015471109,
                0.9989677690587997
            ],
            [
                0.9999997897565588,
                0.999999266178757,
                0.9999992661792819,
                0.9999982396574163,
                0.9999991684720715,
                0.9999986290421397,
                0.9999989322975118,
                0.999999352405279,
                0.9999987901337398,
                0.9999992661788445
            ],
            [
                0.9999810748427433,
                0.9999251537371397,
                0.9999852610215436,
                0.9999938558232044,
                0.9999869928653388,
                0.9999756997564291,
                0.9999546021152134,
                0.9999417087275562,
                0.9998766053663363,
                0.9999869928684467
            ],
            [
                0.9999869928715392,
                0.9999957771660523,
                0.999975699767971,
                0.999991060303697,
                0.999985261023302,
                0.9999945777797377,
                0.9999869928746383,
                0.9999921107345939,
                0.999997097688707,
                0.9999852610127611
            ],
            [
                0.99962001542511,
                0.9998766053668319,
                0.9997694931755025,
                0.9994472213953631,
                0.9988304895062098,
                0.9999038975965026,
                0.9993736657640298,
                0.9997694932583484,
                0.9997040428666903,
                0.9999038975851507
            ],
            [
                0.9999151889890107,
                0.9996200155169533,
                0.9996200154710316,
                0.999948557774106,
                0.9997040429730182,
                0.9993736658979271,
                0.9978172833381256,
                0.9990889488969401,
                0.9997388097541877,
                0.9996646498110714
            ],
            [
                0.9999724643089181,
                0.9991959142482559,
                0.9999885212346129,
                0.999988521234612,
                0.9999546021313821,
                0.9999417087275321,
                0.9998911030649592,
                0.999992110733654,
                0.9997388096265363,
                0.9999485577741157
            ],
            [
                0.9999996072138465,
                0.9999989322966208,
                0.9999991684721706,
                0.9999987901343166,
                0.9999989322967482,
                0.9999994956525918,
                0.999999168471675,
                0.9999996072138465,
                0.9999992661787571,
                0.9999990577554062
            ],
            [
                0.999933947863225,
                0.9988304896536226,
                0.9953904282073512,
                0.9986749777537807,
                0.9999646437577374,
                0.9998415637267463,
                0.9999646437450943,
                0.9998601779262121,
                0.9998601779598772,
                0.9998766054547905
            ],
            [
                0.999991060305828,
                0.9999957771665555,
                0.9999930377454105,
                0.9997965730269229,
                0.9996646497719275,
                0.9999898700090227,
                0.999991060300501,
                0.9999646437493884,
                0.9997694932304871,
                0.9999938558224685
            ],
            [
                0.9999977396759717,
                0.9999982396569966,
                0.9999974387180947,
                0.9999986290429567,
                0.9999987901337396,
                0.9999986290424664,
                0.9999996072138465,
                0.999998790134028,
                0.9999980052693275,
                0.9999986290432835
            ],
            [
                4.450851580469341e-07,
                5.715005832369701e-07,
                6.475950297644816e-07,
                5.71500719517695e-07,
                4.4508510495892245e-07,
                3.9278605978797364e-07,
                3.059021904361589e-07,
                3.0590237278532086e-07,
                3.4663262110189246e-07,
                4.22283344041987e-06
            ],
            [
                0.9971990725913151,
                0.9984988176076779,
                0.9975273769249129,
                0.999373665983512,
                0.9968273169498629,
                0.999769493257899,
                0.9971990736779914,
                0.997527377271203,
                0.999860177909526,
                0.9991959140661947
            ],
            [
                0.3208212878370535,
                0.999841563747569,
                0.8933094067644466,
                0.9999151889820049,
                0.9998601779104659,
                0.9993736657201261,
                0.9988304896317284,
                0.9995694429515422,
                0.5926665999540698,
                0.9669140220880034
            ],
            [
                0.9994472214607086,
                0.999373665975387,
                0.9989677689261518,
                0.9999962733593833,
                0.9998601778594107,
                0.9999151889687703,
                0.9997040427950904,
                0.9994472213891888,
                0.9991959141480825,
                0.9995121429431802
            ],
            [
                0.9986749778703955,
                0.9626731141283641,
                0.9995121427673181,
                0.9992903296971206,
                0.9986749778660821,
                0.20181321745968234,
                0.9796676445054291,
                0.9770226303826814,
                0.9992903297067799,
                0.9770226309262801
            ],
            [
                0.9998601779265763,
                0.9999038975398628,
                0.9999852610110034,
                0.9999339478713091,
                0.8933094167058151,
                0.9999756997477014,
                0.9999599363077533,
                0.9999810748495968,
                0.9999485577864431,
                0.9999687980924301
            ],
            [
                0.9740426434615237,
                0.9984988176155303,
                0.9902915232946774,
                0.9840936084339688,
                0.9669140193469353,
                0.9914225151248403,
                0.9669140247098943,
                0.9890130597172384,
                0.06754669348597103,
                0.9669140185126972
            ],
            [
                0.9997965729791543,
                0.9997040429711238,
                0.9999756997592744,
                0.9999599363078501,
                0.9999724643187757,
                0.999915188968851,
                0.9999785550541473,
                0.9999810748449992,
                0.9999251537461239,
                0.999841563802716
            ],
            [
                0.9999998144609423,
                0.9999997300422547,
                0.9999997300421903,
                0.9999998362623332,
                0.9999998362622357,
                0.999999730042126,
                0.9999998874647842,
                0.9999996940976638,
                0.9999995549150011,
                0.9999996533673788
            ],
            [
                0.9999977396762414,
                0.9999987901344607,
                0.9999987901338839,
                0.9999984465018751,
                0.9999974387171787,
                0.9999980052707541,
                0.9999990577551815,
                0.99999862904312,
                0.9999992661788445,
                0.9999989322970027
            ],
            [
                0.9994472213908611,
                0.9964063966165662,
                0.9988304898929645,
                0.9997388097540433,
                0.9999151889384605,
                0.9986749777077202,
                0.999373665976553,
                0.9988304897618704,
                0.9986749777423811,
                0.9999038975736445
            ],
            [
                0.9999251537550445,
                0.9993736659004411,
                0.999820472056439,
                0.995390427775757,
                0.9996646497316323,
                0.9964063973727267,
                0.9986749778472881,
                0.9990889489929962,
                0.999915188948618,
                0.9991959140578235
            ],
            [
                0.9999977396746244,
                0.9964063968158191,
                0.9997388097546285,
                0.9999724643023409,
                0.0019267343691632814,
                0.9820137859583881,
                0.9999417087136692,
                0.9982992772905033,
                0.9998204720129621,
                0.9999910603026306
            ],
            [
                0.9999986290423029,
                0.999999554914789,
                0.9999996072137061,
                0.9999967112509349,
                0.9999998555019962,
                0.9999962733602719,
                0.999999352405279,
                0.999999694097846,
                0.9999996940977366,
                0.999999554914895
            ],
            [
                0.9998415638211783,
                0.9998601778761578,
                0.9998204720340488,
                0.9999485577679806,
                0.9999785550541467,
                0.9999724643187647,
                0.8933094145755219,
                0.0003353502231649008,
                0.99986017797601,
                0.9999251537370999
            ],
            [
                0.9997965730514673,
                0.9997388096614188,
                0.9993736657520793,
                0.9940889304487397,
                0.9924227576010926,
                0.9996200155172518,
                0.9940889320494666,
                0.9997388096288542,
                0.9996646498506738,
                0.9990889487696777
            ],
            [
                0.9999990577551815,
                0.9999990577554061,
                0.9999993524051246,
                0.9999967112505427,
                0.999998790134028,
                0.9999980052709919,
                0.9999996072137529,
                0.9999993524052018,
                0.9999977396751634,
                0.999998932296621
            ],
            [
                0.9999993524052018,
                0.9999986290432835,
                0.9999980052698032,
                0.9999994956524115,
                0.999999814460854,
                0.999999554914789,
                0.999998790134028,
                0.9999989322972573,
                0.9999987901347492,
                0.9999989322973845
            ],
            [
                0.9999995549151073,
                0.9999989322970028,
                0.9999984465018751,
                0.9999996072137529,
                0.9999980052693275,
                0.9999992661792819,
                0.9999990577557432,
                0.9999986290424665,
                0.9999984465015048,
                0.9999982396559474
            ],
            [
                0.9999974387180947,
                0.9999930377429208,
                0.9999957771665556,
                0.9999945777823233,
                0.9999977396759716,
                0.9998766054693442,
                0.9999952149049355,
                0.9999984465015047,
                0.9999967112521109,
                0.9998911030648276
            ],
            [
                0.9999990577549568,
                0.9999994284996891,
                0.999999266178757,
                0.9999989322972573,
                0.9999996533672135,
                0.9999996533672962,
                0.9999997300421581,
                0.999998932296621,
                0.9999995549147889,
                0.9999998144609644
            ],
            [
                0.9999994956527121,
                0.9999992661788445,
                0.9999994284994848,
                0.9999987901343166,
                0.9999994956527722,
                0.9999996072137529,
                0.9999990577550693,
                0.9999990577555185,
                0.999998932296621,
                0.999999266178757
            ],
            [
                0.9991959139589127,
                0.9999785550515903,
                0.9999151889687783,
                0.9999852610127603,
                0.9999970976883609,
                0.9996646500101373,
                0.9999945777829701,
                0.9999967112501507,
                0.9999885212305126,
                0.999989870012645
            ],
            [
                0.9995694428629998,
                0.9989677689370756,
                0.9997694933328238,
                0.9994472212570831,
                0.9999485577986323,
                0.9997040428316094,
                0.9996646498935545,
                0.9999485577802278,
                0.9999151889183621,
                0.9988304894616051
            ],
            [
                8.315277302747361e-07,
                6.475948753965404e-07,
                1.2098658277335738e-06,
                1.0677027427340866e-06,
                7.338207180661203e-07,
                1.7603432133032607e-06,
                1.067702615468225e-06,
                7.338208930315157e-07,
                9.422443692176231e-07,
                9.422444815563743e-07
            ],
            [
                0.9999990577550691,
                0.9999938558268661,
                0.9999992661792819,
                0.9999980052707542,
                0.9999996072136125,
                0.999997097686631,
                0.9999957771680661,
                0.9999957771670592,
                0.9999986290421397,
                0.9999991684718733
            ],
            [
                0.999820471948409,
                0.9999832985781602,
                0.999933947871151,
                0.9999910603015664,
                0.9999756997534786,
                0.9999967112513293,
                0.9999957771665555,
                0.9999869928746402,
                0.9999962733616046,
                0.9999938558232018
            ],
            [
                0.9999995549151073,
                0.9999991684721706,
                0.9999991684719723,
                0.9999991684721706,
                0.9999982396559474,
                0.9999984465022456,
                0.9999995549148419,
                0.999999266178757,
                0.9999991684717742,
                0.9999990577551815
            ],
            [
                0.99719907243654,
                0.9992903295408386,
                0.9986749777137282,
                0.9990889486764296,
                0.9953904281560727,
                0.9975273766728044,
                0.995390428732956,
                0.9997388097540433,
                0.999373665822981,
                0.9993736658252764
            ],
            [
                0.9999151889586775,
                0.9971990725360383,
                0.9997965730516893,
                0.9998415637644547,
                0.9999785550464798,
                0.997199073268293,
                0.9997388096597697,
                0.9999646437493974,
                0.999704042903063,
                0.9998911030778981
            ]
        ]
    },
    {
        "q_id": "10649_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                6.962258739169842e-06,
                8.48110715384374e-05,
                5.829124465589078e-05,
                1.473898899846585e-05,
                1.4738983712565087e-05,
                1.6701419845680582e-05,
                7.889264465699106e-06,
                0.0002305067402162827,
                6.605213671635022e-05,
                4.5397884856980825e-05
            ],
            [
                0.9999989322973846,
                0.9999984465016899,
                0.999903897539506,
                0.9999974387187053,
                0.999997438716568,
                0.9999993524051246,
                0.9999980052700408,
                0.9999989322967481,
                0.9999974387168737,
                0.9999967112497585
            ],
            [
                0.9999990577552937,
                0.999999266178757,
                0.9999992661790196,
                0.9999994956524114,
                0.9999994956525917,
                0.9999994284996211,
                0.9999994284995529,
                0.9999957771645419,
                0.9999996072136125,
                0.9999994956523514
            ],
            [
                0.9999974387184,
                0.9999992661789321,
                0.9999945777816769,
                0.9999987901346049,
                0.9999945777823233,
                0.999997438716568,
                0.9999987901344607,
                0.999997438717484,
                0.9999974387177893,
                0.999998790134028
            ],
            [
                0.9999970976869769,
                0.9999989322966208,
                0.9999974387187053,
                0.9999938558268632,
                0.9999987901338839,
                0.9999984465026159,
                0.99999893229713,
                0.9999921107336526,
                0.999998239656367,
                0.9999980052693274
            ],
            [
                0.999999168471675,
                0.9999992661791945,
                0.9999984465020603,
                0.999999266178757,
                0.999999495652712,
                0.9999995549149481,
                0.9999987901346049,
                0.9999990577551816,
                0.999999554914789,
                0.9999989322971299
            ],
            [
                0.9999997617630899,
                0.9999996533672549,
                0.9999995549151073,
                0.9999998362622747,
                0.9999998144609644,
                0.9999994956524114,
                0.9999996940976636,
                0.9999995549147358,
                0.9999989322972572,
                0.999999730042126
            ],
            [
                0.99999893229713,
                0.9999996533672136,
                0.9999992661786695,
                0.9999982396572064,
                0.9999996072137998,
                0.9999994284994167,
                0.9999997300422225,
                0.9999990577551815,
                0.9999990577549568,
                0.9999994284994167
            ],
            [
                0.9999987901343165,
                0.999999495652712,
                0.9999992661788446,
                0.9999986290426297,
                0.9999991684722698,
                0.9999982396567867,
                0.9999994284993485,
                0.9999989322972572,
                0.9999987901337396,
                0.999998005269803
            ],
            [
                0.999999266178757,
                0.9999996072138934,
                0.999999554914895,
                0.9999990577554061,
                0.9999992661790195,
                0.9999994284992805,
                0.9999993524049703,
                0.9999993524052018,
                0.9999996072137061,
                0.9999996940978825
            ],
            [
                0.999999266178932,
                0.99999893229713,
                0.99999893229713,
                0.9999984465026159,
                0.9999980052700408,
                0.9999991684715759,
                0.9999986290432835,
                0.9999994284996893,
                0.999999266178757,
                0.9999989322967482
            ],
            [
                0.9999994284994167,
                0.9999994284992805,
                0.9999992661786696,
                0.9999997897567091,
                0.9999989322972572,
                0.9999994956525918,
                0.9999980052707541,
                0.9999996072139402,
                0.9999987901346049,
                0.9999996533675028
            ],
            [
                0.9999994284997573,
                0.9999991684720715,
                0.9999987901340281,
                0.9999996072137529,
                0.9999996072138934,
                0.9999990577551815,
                0.9999993524050474,
                0.9999992661788445,
                0.9999994956526519,
                0.9999994284996211
            ],
            [
                0.9999921107383551,
                0.9999930377404309,
                0.999968798092358,
                0.9999898700053983,
                0.9999599363221608,
                0.9999852610127575,
                0.9998204720983642,
                0.9999898700053974,
                0.9999687980886387,
                0.9999885212359807
            ],
            [
                0.9999986290421394,
                0.9999994284995529,
                0.9999991684721706,
                0.9999997300421903,
                0.9999982396574163,
                0.9999994956524114,
                0.9999995549151073,
                0.9999980052700408,
                0.9999994956527722,
                0.9999994284992805
            ],
            [
                0.999999266178932,
                0.9999998144609644,
                0.9999995549150542,
                0.9999996072137529,
                0.9999992661790195,
                0.9999996072136125,
                0.9999997617631184,
                0.9999995549147359,
                0.9999994956525917,
                0.9999993524049702
            ],
            [
                0.9999832985761651,
                0.9999724643056345,
                0.9999485577802159,
                0.9999687980923528,
                0.9999910603058293,
                0.9999832985721857,
                0.9999546021259487,
                0.9999756997534733,
                0.9999546021151431,
                0.9999599363221466
            ],
            [
                0.9999967112493665,
                0.9999987901347491,
                0.9999980052702786,
                0.9999977396754327,
                0.9999980052709919,
                0.999998790134028,
                0.999998790134605,
                0.9999989322968753,
                0.9999970976880149,
                0.9999967112521109
            ],
            [
                0.9999993524050474,
                0.9999996940977366,
                0.9999994284994848,
                0.9999996940978095,
                0.9999994284994168,
                0.9999994284995529,
                0.9999996533672135,
                0.9999994956527721,
                0.9999995549151073,
                0.9999995549150542
            ],
            [
                0.9999990577551814,
                0.9999994956523514,
                0.9999986290432835,
                0.999999352405279,
                0.9999989322966208,
                0.9999957771660523,
                0.9999986290426297,
                0.9999994284996893,
                0.9999992661786696,
                0.9999970976890528
            ],
            [
                0.9999994956527121,
                0.9999991684715759,
                0.9999990577549568,
                0.9999994284996891,
                0.9999996072138934,
                0.9999996533673375,
                0.9999995549150542,
                0.9999992661791071,
                0.9999996072136592,
                0.9999995549147889
            ],
            [
                0.9999987901341723,
                0.999999266179107,
                0.9999997897566089,
                0.9999989322966208,
                0.9999993524054335,
                0.9999996072139402,
                0.9999992661792819,
                0.9999987901337396,
                0.9999980052695652,
                0.9999998144609644
            ],
            [
                0.9999994284995529,
                0.9999991684721706,
                0.9999989322972572,
                0.9999898700041906,
                0.9999989322975118,
                0.9999980052707541,
                0.999999266178757,
                0.9999991684719723,
                0.9999984465016899,
                0.9999898700078131
            ],
            [
                0.9999997617629764,
                0.9999997300422869,
                0.9999995549149481,
                0.9999997617630616,
                0.9999997617630048,
                0.9999997897566589,
                0.9999996072137529,
                0.9999998555019962,
                0.9999996072137061,
                0.9999994284996211
            ],
            [
                0.9999994956526519,
                0.9999989322972572,
                0.9999984465015047,
                0.999999057755743,
                0.9999962733620489,
                0.9999991684718732,
                0.9999945777810305,
                0.999997438716568,
                0.9999991684718732,
                0.9999990577551814
            ],
            [
                0.9999993524051246,
                0.9999996072138934,
                0.9999980052705164,
                0.9999977396746244,
                0.9999980052695652,
                0.9999987901337396,
                0.9999986290429566,
                0.99999893229713,
                0.9999994284995529,
                0.9999989322971299
            ],
            [
                0.9999546021259605,
                3.5356250694926364e-05,
                0.9998911030388706,
                2.7535684530912436e-05,
                1.4738981968060613e-05,
                0.00048785716870623444,
                0.0009110513982748108,
                2.7535687815134722e-05,
                0.9997965730751919,
                0.9999756997505781
            ],
            [
                0.9999992661788446,
                0.999999554914895,
                0.9999996533673375,
                0.9999994284992805,
                0.999999168471675,
                0.9999995549147889,
                0.9999994284995529,
                0.9999994956527722,
                0.9999989322975119,
                0.9999994284996891
            ],
            [
                0.9999993524050474,
                0.9999987901347491,
                0.9999992661792819,
                0.9999990577554061,
                0.9999990577552939,
                0.9999994284992805,
                0.9999982396567867,
                0.9999989322966208,
                0.9999992661791071,
                0.9999982396567868
            ],
            [
                0.9999994956527121,
                0.9999994284996893,
                0.9999995549150011,
                0.9999994284992805,
                0.9999994284992805,
                0.9999994284992805,
                0.9999996072137998,
                0.9999993524054335,
                0.9999987901347491,
                0.9999992661792819
            ],
            [
                0.9999989322973846,
                0.9999993524053562,
                0.9999991684718732,
                0.9999992661792819,
                0.9999993524049703,
                0.9999990577552939,
                0.9999989322972572,
                0.9999996072138465,
                0.9999989322971299,
                0.9999987901347492
            ],
            [
                0.9999993524053562,
                0.9999996072136125,
                0.9999994284994849,
                0.9999987901344607,
                0.999999730042319,
                0.9999994956523514,
                0.9999994284997573,
                0.9999994956526519,
                0.9999994956526519,
                0.9999996940976636
            ],
            [
                0.9999987901341723,
                0.9999989322970027,
                0.999998005269803,
                0.9999990577550691,
                0.9999989322967482,
                0.9999994956523514,
                0.99999844650169,
                0.9999991684718732,
                0.9999987901341723,
                0.9999992661791944
            ],
            [
                0.9999990577549568,
                0.9999974387184,
                0.9999989322967481,
                0.9999982396565769,
                0.9999993524050474,
                0.9999992661786695,
                0.9999994284997573,
                0.9999990577549568,
                0.9999996072137061,
                0.9999986290424663
            ],
            [
                0.999999168471675,
                0.9999994284996211,
                0.9999998724810027,
                0.9999982396559474,
                0.9999996940977366,
                0.9999986290429567,
                0.9999996940977001,
                0.9999995549151073,
                0.9999993524049703,
                0.999999554914789
            ],
            [
                0.9999990577557432,
                0.9999994956527721,
                0.9999987901347491,
                0.9999994284996211,
                0.9999993524051246,
                0.9999997300422869,
                0.999999352405279,
                0.9999994956525917,
                0.9999990577554061,
                0.9999994284994849
            ],
            [
                0.9999984465015047,
                0.9999987901347492,
                0.999999352405279,
                0.9999989322973846,
                0.9999991684717742,
                0.9999996533673788,
                0.9999996940978095,
                0.9999994284996893,
                0.9999990577551815,
                0.9999996940978825
            ],
            [
                0.9999991684720715,
                0.9999987901343165,
                0.9999984465016899,
                0.9999990577550691,
                0.999999352405279,
                0.9999994284996211,
                0.9999990577556308,
                0.9999980052702786,
                0.9999990577555185,
                0.9999987901346049
            ],
            [
                0.9999995549151073,
                0.9999996940976636,
                0.9999997300422225,
                0.9999994956524716,
                0.9999997617630048,
                0.9999996940978095,
                0.9999997300422547,
                0.9999992661788446,
                0.999999730042319,
                0.9999995549151072
            ],
            [
                0.9999991684717741,
                0.9999970976876689,
                0.9999977396748938,
                0.9999984465015046,
                0.9999990577551815,
                0.9999986290423029,
                0.9999967112493667,
                0.9999986290423029,
                0.9999992661792819,
                0.999997438716568
            ],
            [
                0.9999994284996891,
                0.9999998144608098,
                0.9999996072137529,
                0.9999994956523514,
                0.9999995549150011,
                0.9999996072136592,
                0.9999996533673375,
                0.9999995549147889,
                0.9999994284996211,
                0.9999994284992805
            ],
            [
                0.9999987901346049,
                0.9999982396565769,
                0.999995777164542,
                0.9999967112517193,
                0.999992110740236,
                0.9999974387171787,
                0.9999945777784448,
                0.9999980052702786,
                0.9999910603036963,
                0.9999952149049349
            ],
            [
                0.9999996072137529,
                0.9999984465016899,
                0.9999996940977731,
                0.9999996072136125,
                0.9999992661791944,
                0.9999993524054334,
                0.9999995549149481,
                0.999998790134028,
                0.9999995549150011,
                0.9999994956523514
            ],
            [
                0.9999996072138934,
                0.9999987901341723,
                0.9999996072137998,
                0.9999987901337396,
                0.9999992661790196,
                0.9999986290423029,
                0.9999992661791944,
                0.9999994284992805,
                0.9999990577551815,
                0.9999995549150542
            ],
            [
                0.9999994956523514,
                0.9999990577555185,
                0.9999993524054335,
                0.9999987901341724,
                0.9999996072136592,
                0.9999993524049702,
                0.9999990577554061,
                0.9999994956527121,
                0.999999554914842,
                0.9999996533673375
            ],
            [
                0.9999994284993485,
                0.9999994956524716,
                0.9999996940976271,
                0.9999996533675028,
                0.9999996072136125,
                0.9999997300422225,
                0.9999995549151073,
                0.9999994284994167,
                0.9999987901338838,
                0.9999993524050474
            ],
            [
                0.9999995549150542,
                0.9999991684722697,
                0.9999952149043644,
                0.9999982396569966,
                0.9999986290421394,
                0.9999984465024306,
                0.9999987901341723,
                0.9999996533674202,
                0.9999984465018751,
                0.9999962733607161
            ],
            [
                0.9999996072137529,
                0.9999994956523514,
                0.9999994284996211,
                0.9999993524050474,
                0.9999997617629764,
                0.9999993524050474,
                0.9999996533675028,
                0.9999996072139402,
                0.9999997897566589,
                0.9999995549149481
            ],
            [
                0.9999996072137529,
                0.9999987901341723,
                0.9999996940977731,
                0.9999994284996211,
                0.9999994956524115,
                0.9999987901346049,
                0.9999994284995529,
                0.9999982396561572,
                0.9999993524051246,
                0.9999994284994167
            ],
            [
                0.9999995549150542,
                0.9999994956524715,
                0.9999991684719725,
                0.9999989322972572,
                0.9999987901346049,
                0.9999996533674202,
                0.9999996072136592,
                0.9999996533674614,
                0.9999994284995529,
                0.9999996533673788
            ],
            [
                0.9999993524050473,
                0.9999997897566589,
                0.9999998144609423,
                0.9999995549149481,
                0.9999992661787571,
                0.9999993524052018,
                0.9999994956526519,
                0.9999994956527722,
                0.9999996533674614,
                0.999999352405279
            ],
            [
                0.9999996072136125,
                0.9999996533672136,
                0.999999352404893,
                0.99999893229713,
                0.9999986290432835,
                0.9999994956526519,
                0.9999994284996211,
                0.9999994284993485,
                0.9999986290429567,
                0.9999990577555185
            ],
            [
                0.9999995549150011,
                0.9999993524051246,
                0.9999996940977731,
                0.9999994956527721,
                0.9999993524051246,
                0.9999996533675028,
                0.9999994284992805,
                0.9999996072137061,
                0.9999995549148419,
                0.9999992661786695
            ],
            [
                0.9999997617630049,
                0.9999997617631752,
                0.9999993524052018,
                0.9999997617631469,
                0.9999996940978095,
                0.9999995549151073,
                0.9999994956524115,
                0.9999997300421581,
                0.9999997897567091,
                0.9999997300422547
            ],
            [
                0.9999921107345928,
                0.9999977396759716,
                0.9999987901341724,
                0.9999898700078131,
                0.999998005269803,
                0.9999980052709918,
                0.9999417087344724,
                0.9999930377404306,
                0.9999967112521109,
                0.9999967112493664
            ],
            [
                0.999999554914842,
                0.999999554914895,
                0.9999996533672549,
                0.9999993524053562,
                0.999999730042319,
                0.9999995549151073,
                0.9999992661789321,
                0.9999994284994167,
                0.9999993524050473,
                0.9999994284992805
            ],
            [
                0.9999756997563729,
                0.9999852610233012,
                0.9998911031167045,
                0.9999852610197869,
                0.9999910603058275,
                0.9999646437492953,
                0.9999910603004992,
                0.9999938558239339,
                0.9999898700090202,
                0.9999785550515903
            ],
            [
                0.9999992661791944,
                0.999999266179107,
                0.9999993524049702,
                0.9999977396746245,
                0.9999993524053562,
                0.9999982396567867,
                0.9999987901337397,
                0.9999984465022455,
                0.9999990577555185,
                0.9999991684716749
            ],
            [
                0.999999266178932,
                0.9999993524053563,
                0.9999997617629764,
                0.9999997617631468,
                0.9999996072136592,
                0.9999990577552939,
                0.9999995549147359,
                0.9999997617630332,
                0.9999996072136125,
                0.9999995549151073
            ],
            [
                0.9999992661788446,
                0.9999994284994849,
                0.9999994284994849,
                0.9999995549149481,
                0.9999994956527121,
                0.9999984465015047,
                0.9999994284996891,
                0.9999993524054334,
                0.9999992661792819,
                0.9999990577557432
            ],
            [
                0.9999996940978825,
                0.9999991684717742,
                0.9999994284993485,
                0.9999991684718732,
                0.9999990577557432,
                0.999999495652652,
                0.999999266178932,
                0.9999996533672549,
                0.9999996940976272,
                0.9999996533675028
            ],
            [
                0.9999996533675028,
                0.9999997617630332,
                0.999999266178932,
                0.9999997897565838,
                0.9999991684719723,
                0.9999992661791071,
                0.9999994284996891,
                0.9999993524052789,
                0.9999996072136125,
                0.9999994284994848
            ],
            [
                0.9999994956525918,
                0.9999994284997573,
                0.9999993524052019,
                0.9999996940977731,
                0.9999996940978095,
                0.9999994956527722,
                0.9999986290427931,
                0.9999995549147889,
                0.9999994284997573,
                0.9999993524050473
            ],
            [
                0.9999995549151073,
                0.9999995549150011,
                0.9999989322970027,
                0.9999984465018751,
                0.9999998362623137,
                0.9999986290431201,
                0.999999554914895,
                0.9999992661792819,
                0.9999995549150541,
                0.9999984465015047
            ],
            [
                0.9999991684717741,
                0.9999977396746244,
                0.9999987901346049,
                0.9999980052698029,
                0.9999994284993486,
                0.9999990577555185,
                0.9999984465015047,
                0.9999986290424663,
                0.9999986290424663,
                0.9999984465016899
            ],
            [
                0.9820137877678529,
                0.0009110513301931263,
                2.4300252317086683e-05,
                5.1442219756013625e-05,
                9.610238056965109e-05,
                0.9990889486559786,
                0.9971990733456805,
                0.9997694932301049,
                0.9998204719698691,
                0.0010322308027901272
            ],
            [
                0.999999352405279,
                0.9999991684715759,
                0.9999995549149481,
                0.9999997300421581,
                0.9999990577554061,
                0.999999730042126,
                0.9999991684719723,
                0.9999990577555185,
                0.9999994284993485,
                0.9999996072139402
            ],
            [
                0.9999984465022455,
                0.9999989322975118,
                0.9999994284994167,
                0.9999990577555185,
                0.9999987901343165,
                0.999999495652712,
                0.9999977396765105,
                0.9999984465020603,
                0.9999967112517187,
                0.9999987901341723
            ],
            [
                0.9999994284997573,
                0.9999994284992805,
                0.9999995549150011,
                0.9999994284995529,
                0.9999996072137529,
                0.9999993524054335,
                0.9999995549147359,
                0.9999994284996893,
                0.999999352404893,
                0.9999990577550691
            ],
            [
                0.9999991684718732,
                0.9999996072137061,
                0.9999989322966208,
                0.9999986290432835,
                0.9999994956527121,
                0.9999992661787571,
                0.9999992661790196,
                0.9999993524053563,
                0.9999994956527121,
                0.9999994284994167
            ],
            [
                0.9999991684718732,
                0.9999994284993486,
                0.9999987901347492,
                0.9999990577554061,
                0.9999982396559474,
                0.9999989322973845,
                0.9999993524053562,
                0.9999997897566089,
                0.9999994956525918,
                0.99999893229713
            ],
            [
                0.9999996072136592,
                0.9999997897567091,
                0.9999994956525918,
                0.9999996940978095,
                0.9999994956525918,
                0.9999997617629764,
                0.9999986290421394,
                0.9999996072139402,
                0.9999997897566589,
                0.9999996533673375
            ],
            [
                0.9999989322972572,
                0.999999789756684,
                0.9999996940978095,
                0.9999996533674614,
                0.999999495652712,
                0.9999994956527121,
                0.9999994956523514,
                0.9999996072138934,
                0.9999991684721706,
                0.9999996072136592
            ],
            [
                0.9999996072139402,
                0.9999991684717742,
                0.9999992661792819,
                0.9999994284996891,
                0.9999993524050474,
                0.9999996072136125,
                0.9999984465020604,
                0.9999993524050474,
                0.9999996072136592,
                0.9999994956527121
            ],
            [
                0.9999998555019963,
                0.9999996533672962,
                0.9999998144608538,
                0.9999995549147359,
                0.999999730042126,
                0.999999730042319,
                0.9999994956525918,
                0.9999989322975118,
                0.9999996940976272,
                0.9999994284996211
            ],
            [
                0.9999996072139402,
                0.999999694097773,
                0.9999991684718732,
                0.9999990577551814,
                0.9999995549150541,
                0.9999990577554061,
                0.9999994284994848,
                0.9999993524054335,
                0.9999995549149481,
                0.9999994284994167
            ],
            [
                0.9999994284994167,
                0.9999990577552937,
                0.9999989322968754,
                0.9999986290429567,
                0.9999945777816767,
                0.9999993524049702,
                0.9999991684718732,
                0.9999974387171787,
                0.9999989322966208,
                0.9999967112505427
            ],
            [
                0.9999991684716749,
                0.9999993524053562,
                0.9999987901337396,
                0.9999992661786696,
                0.9999984465026159,
                0.9999977396757022,
                0.9999982396565767,
                0.9999967112501504,
                0.9999986290421394,
                0.9999974387174841
            ],
            [
                0.9999994284996211,
                0.9999994284994167,
                0.9999994956527121,
                0.9999994956527722,
                0.9999995549147359,
                0.9999996533674202,
                0.9999996940976636,
                0.9999994284996211,
                0.9999994956525318,
                0.9999990577554061
            ],
            [
                0.9999995549148419,
                0.9999996533674202,
                0.9999997300422547,
                0.9999994956525317,
                0.9999996940978825,
                0.9999996940976636,
                0.9999997897566089,
                0.9999996072137529,
                0.9999997300422869,
                0.9999995549150011
            ],
            [
                0.9999993524050474,
                0.9999970976890529,
                0.9999989322970027,
                0.9999977396762411,
                0.9999989322968756,
                0.9999984465026158,
                0.999997097688015,
                0.9999982396569965,
                0.9999992661788446,
                0.9999994956525918
            ],
            [
                0.9999992661788445,
                0.9999993524052018,
                0.9999994284994849,
                0.9999996940976271,
                0.9999991684719723,
                0.9999995549147359,
                0.9999993524054335,
                0.9999987901341723,
                0.9999995549149481,
                0.9999994956524716
            ],
            [
                0.9999990577557433,
                0.9999996072137998,
                0.9999997300420937,
                0.9999996940978095,
                0.9999996072137061,
                0.9999994284997573,
                0.9999996072138465,
                0.9999993524049703,
                0.9999986290423029,
                0.9999994956527121
            ],
            [
                0.999998005269803,
                0.9999989322970028,
                0.999999266178757,
                0.9999996072137061,
                0.9999991684720715,
                0.9999994284995529,
                0.9999992661786696,
                0.9999995549149481,
                0.9999996072139402,
                0.9999982396565769
            ],
            [
                0.9999982396565767,
                0.999997438717484,
                0.9999970976890528,
                0.9999984465016899,
                0.9999952149072169,
                0.9999990577551814,
                0.9999984465026158,
                0.9999984465022455,
                0.9999962733607161,
                0.9999990577552937
            ],
            [
                0.9999930377429204,
                0.9999987901337396,
                0.9999970976866309,
                0.9999970976869769,
                0.9999952149032237,
                0.9999989322972572,
                0.00037998452955424555,
                0.9999987901347491,
                0.0013250227233076106,
                0.9999984465015047
            ],
            [
                0.9999996072137061,
                0.9999996072136125,
                0.999999352404893,
                0.9999994284992805,
                0.9999994956525317,
                0.9999993524053562,
                0.9999994284995529,
                0.9999996940977002,
                0.9999987901346049,
                0.9999992661790195
            ],
            [
                0.9999995549147359,
                0.9999996940978095,
                0.9999990577555185,
                0.9999993524054334,
                0.9999992661790195,
                0.9999994956525317,
                0.999999730042126,
                0.9999993524054334,
                0.9999994956524715,
                0.9999992661791945
            ],
            [
                0.9999994284995529,
                0.9999987901341723,
                0.999999653367503,
                0.9999993524053562,
                0.999999057755743,
                0.9999989322972572,
                0.9999994956523514,
                0.9999980052693274,
                0.999999266178757,
                0.9999996072137061
            ],
            [
                0.999999495652652,
                0.9999977396754328,
                0.9999996533673788,
                0.9999996072136592,
                0.9999996940978095,
                0.9999996533674202,
                0.999999814460876,
                0.9999991684720715,
                0.999999495652652,
                0.9999995549149481
            ],
            [
                0.9999994956525317,
                0.9999989322975118,
                0.9999984465020603,
                0.9999990577552937,
                0.9999995549151072,
                0.9999994956524716,
                0.9999994284996891,
                0.9999995549150011,
                0.9999987901338839,
                0.99999893229713
            ],
            [
                0.9999992661792819,
                0.9999970976880149,
                0.9999992661792819,
                0.9999992661792819,
                0.9999992661786695,
                0.9999991684720715,
                0.9999993524051246,
                0.999999694097773,
                0.9999995549150542,
                0.999999168471675
            ],
            [
                0.9999967112505429,
                0.9999996072139402,
                0.9999995549149481,
                0.9999986290432835,
                0.9999987901344607,
                0.9999986290426298,
                0.9999980052709919,
                0.9999938558261311,
                0.9999982396574163,
                0.999998629042303
            ],
            [
                0.9999994956527121,
                0.9999989322970027,
                0.9999987901347491,
                0.9999962733598275,
                0.9999984465026158,
                0.99999862904312,
                0.9999993524052018,
                0.9999990577549568,
                0.9999977396759716,
                0.9999992661786696
            ],
            [
                0.9999994284994849,
                0.9999982396563669,
                0.9999994956523514,
                0.9999980052709918,
                0.9999989322975118,
                0.9999987901346049,
                0.9999994284993485,
                0.9999987901341723,
                0.9999990577551815,
                0.9999989322972572
            ],
            [
                0.9999997617631469,
                0.9999989322966208,
                0.9999990577549569,
                0.9999992661787571,
                0.9999991684721706,
                0.9999991684716749,
                0.9999991684722698,
                0.9999992661786696,
                0.008577486142341469,
                0.9999998555019963
            ],
            [
                0.9999992661791944,
                0.9999982396563669,
                0.9999986290429566,
                0.9999995549147358,
                0.9999991684715759,
                0.9999989322973845,
                0.9999989322972572,
                0.9999986290426297,
                0.9999996072137061,
                0.9999987901341723
            ],
            [
                0.9999987901346049,
                0.9999995549149481,
                0.9999984465028011,
                0.9999984465024306,
                0.9999991684718732,
                0.9999995549151073,
                0.9999994956525317,
                0.999998790134605,
                0.9999993524053562,
                0.9999991684716749
            ],
            [
                0.9999993524052018,
                0.9999995549149481,
                0.999999653367379,
                0.9999996072137998,
                0.9999989322973846,
                0.9999993524054335,
                0.9999994956523512,
                0.9999992661792819,
                0.999999266178757,
                0.9999986290421394
            ],
            [
                0.9999986290427932,
                0.9999993524049702,
                0.9999990577554061,
                0.9999992661792819,
                0.9999991684717741,
                0.9999992661792819,
                0.9999599363125918,
                0.9999994284994848,
                0.9999989322973846,
                0.999999057755743
            ],
            [
                0.9999989322973846,
                0.9999990577555185,
                0.999999428499553,
                0.999999352404893,
                0.9999986290426297,
                0.9999997617631469,
                0.9999991684717741,
                0.9999990577556307,
                0.9999977396746244,
                0.9999986290423029
            ],
            [
                0.9999990577556308,
                0.9999991684719723,
                0.9999993524052019,
                0.9999994284995529,
                0.9999996533674614,
                0.9999995549147358,
                0.999999266179107,
                0.9999993524049703,
                0.9999970976869772,
                0.9999989322972572
            ],
            [
                0.9999930377429203,
                0.9999785550567016,
                0.9999785550515884,
                0.9999785550413627,
                0.0002959571668836658,
                0.9999885212346123,
                0.9999885212264008,
                0.9999485577802159,
                0.9999970976890528,
                0.999975699767968
            ],
            [
                0.9999991684722698,
                0.9999997300421903,
                0.9999998144609644,
                0.9999997300421581,
                0.9999996940976271,
                0.9999997300421581,
                0.9999993524050474,
                0.999999730042319,
                0.9999996533674201,
                0.9999997300423191
            ],
            [
                0.999998446502801,
                0.9999987901341723,
                0.999999168471675,
                0.9999990577550691,
                0.9999989322968754,
                0.9999995549150542,
                0.9999989322972572,
                0.9999994956527121,
                0.9999991684718732,
                0.9999974387177893
            ],
            [
                0.9999995549150011,
                0.9999993524052018,
                0.9999997617631752,
                0.9999998144608097,
                0.9999996072136125,
                0.9999998144609645,
                0.9999996940977731,
                0.9999993524053562,
                0.999999653367379,
                0.9999996940977002
            ],
            [
                0.9999997617630049,
                0.9999994284992805,
                0.9999984465022455,
                0.9999994956525918,
                0.9999996940976636,
                0.9999984465024306,
                0.999999266179107,
                0.9999996533672549,
                0.9999987901347491,
                0.9999995549150011
            ],
            [
                0.9999974387168733,
                0.9999962733598274,
                0.9999989322968754,
                0.9999986290424664,
                0.9999984465024306,
                0.9999984465016899,
                0.9999977396751634,
                0.9999982396574162,
                0.9999974387180947,
                0.9999991684717742
            ],
            [
                0.9999646437619328,
                0.9999930377445806,
                0.9999724642957752,
                0.9999785550515884,
                0.999841563839848,
                0.9999724643056231,
                0.9999546021097171,
                0.9999599363221447,
                0.9999869928668839,
                0.9999687980997854
            ],
            [
                0.9999810748562726,
                0.9999485577924853,
                0.9999938558253981,
                0.999995214904935,
                0.999964643757734,
                0.9999921107336525,
                0.9999832985821373,
                0.999975699753474,
                0.9999810748449955,
                0.9999938558261305
            ],
            [
                0.999999057755069,
                0.9999986290427931,
                0.9999038976196576,
                0.9999977396751633,
                0.9999938558253981,
                0.9999970976873229,
                0.9999945777823231,
                0.9999977396746244,
                0.9999898700078131,
                0.9999910603036964
            ],
            [
                0.9999995549149481,
                0.9999991684715759,
                0.999999653367379,
                0.9999993524051246,
                0.9999993524049703,
                0.9999991684720715,
                0.9999993524050474,
                0.9999993524054335,
                0.9999991684720715,
                0.9999990577555185
            ],
            [
                0.000911051297185432,
                0.999769493257302,
                0.9990889489808104,
                0.999968798077472,
                0.00037998452852614883,
                0.9968273173106765,
                0.9999921107345929,
                0.9999810748517589,
                0.9999646437577242,
                0.9999417087483575
            ],
            [
                0.999998239656367,
                0.9999987901341723,
                0.9999989322968753,
                0.999998005270992,
                0.9999977396746244,
                0.9999994956523512,
                0.9999980052705163,
                0.9999991684718732,
                0.9999987901337396,
                0.9999970976876689
            ],
            [
                0.9999989322967482,
                0.9999994956524716,
                0.9999982396567867,
                0.9999987901346049,
                0.9999974387168733,
                0.9999991684721706,
                0.999998790134028,
                0.999999266179107,
                0.9999987901343165,
                0.9999989322975118
            ],
            [
                0.9999993524051246,
                0.9999962733616045,
                0.9999989322975118,
                0.9999977396748938,
                0.9999991684721706,
                0.9999977396754327,
                0.999997097686977,
                0.9999989322971299,
                0.999997438716568,
                0.9999991684722698
            ],
            [
                0.9999994956524716,
                0.9999992661791944,
                0.9999992661788445,
                0.9999994956524114,
                0.9999977396751633,
                0.9999993524052019,
                0.9999995549151073,
                0.999999352404893,
                0.9999994284996211,
                0.9999994284994167
            ],
            [
                0.9999994284997574,
                0.999999057755743,
                0.9999987901343166,
                0.9999994956526519,
                0.9999996940976636,
                0.999999554914895,
                0.9999993524049702,
                0.9999991684718732,
                0.9999994956523514,
                0.9999994284996211
            ],
            [
                0.9999970976880149,
                0.9999967112521109,
                0.9999952149060758,
                0.9999546021259533,
                0.999978555056703,
                0.9999852610180288,
                0.9999832985781563,
                0.9999810748517598,
                0.9999038976194401,
                0.9999832985801471
            ],
            [
                0.9999994284997573,
                0.9999989322970027,
                0.9999995549150541,
                0.9999993524053562,
                0.9999994956526519,
                0.9999987901346049,
                0.9999995549147889,
                0.9999996533674614,
                0.999999057755743,
                0.9999990577549569
            ],
            [
                0.9999995549147359,
                0.9999994956525318,
                0.9999991684717742,
                0.9999996940978095,
                0.9999997897566338,
                0.9999995549149481,
                0.9999992661787571,
                0.9999990577556308,
                0.9999994284992805,
                0.9999996940978095
            ],
            [
                0.99999893229713,
                0.9999992661786695,
                0.9999993524050473,
                0.999999266179107,
                0.9999996072138465,
                0.9999994284996891,
                0.9999990577556307,
                0.9999995549150011,
                0.9999995549150542,
                0.9999994284994167
            ],
            [
                0.9999996072136125,
                0.9999996072136592,
                0.9999996533673375,
                0.9999996940978825,
                0.9999997300422547,
                0.9999996940978095,
                0.9999991684715758,
                0.9999995549150542,
                0.9999994956525918,
                0.9999993524050474
            ],
            [
                0.9999995549150542,
                0.999999653367503,
                0.9999994956525317,
                0.9999993524050474,
                0.9999997897566089,
                0.9999996940978095,
                0.9999997300420937,
                0.9999996533672548,
                0.9999996940977002,
                0.9999996940976636
            ],
            [
                0.9999996533672135,
                0.999999554914895,
                0.9999996533672962,
                0.9999998144608538,
                0.9999996940976271,
                0.9999996533672549,
                0.9999992661786695,
                0.9999994956523514,
                0.999999814460876,
                0.9999986290424664
            ],
            [
                0.9999957771675624,
                0.9999852610110074,
                0.9999038975736445,
                0.9999910602994336,
                0.999993855823201,
                0.9999785550464765,
                0.9999910603036964,
                0.9999832985781578,
                0.9999982396563669,
                0.9999832985701917
            ],
            [
                0.9999996940976272,
                0.999999554914842,
                0.9999994956525918,
                0.9999910603004989,
                0.9999885212264013,
                0.9999990577552937,
                0.9999996940976272,
                0.9999957771670589,
                0.9999996533674614,
                0.9999945777810305
            ],
            [
                0.9999998362623722,
                0.9999996533675028,
                0.9999993524053562,
                0.9999996940978825,
                0.999999168471675,
                0.9999996940976271,
                0.9999996072138465,
                0.9999994284995529,
                0.9999996533674614,
                0.9999995549147889
            ]
        ]
    },
    {
        "q_id": "10570_mmlu_computer science",
        "cot_ids": [
            3,
            6,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            22,
            24,
            26,
            27,
            28,
            30,
            31,
            34,
            35,
            38,
            39,
            41,
            42,
            44,
            45,
            46,
            47,
            48,
            50,
            53,
            54,
            56,
            57,
            61,
            62,
            63,
            64,
            65,
            68,
            69,
            70,
            72,
            75,
            77,
            78,
            80,
            82,
            83,
            84,
            85,
            86,
            88,
            89,
            90,
            91,
            92,
            93,
            96,
            97,
            102,
            103,
            106,
            107,
            110,
            113,
            114,
            116,
            117,
            120,
            123,
            124,
            127
        ],
        "rewards": [
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                2.1444950969026795e-05,
                2.75356878022126e-05,
                NaN,
                4.006369216362198e-05
            ],
            [
                0.00012339461781201325,
                0.9902915229991973,
                0.00010889690849277196,
                NaN,
                NaN,
                9.6102403023487e-05,
                NaN,
                NaN,
                NaN,
                0.00015843619505022594
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                3.535625066945945e-05,
                NaN,
                1.3007125361755747e-05,
                NaN,
                NaN
            ],
            [
                2.753568778267916e-05,
                9.610246006457393e-05,
                NaN,
                NaN,
                2.4300237824258528e-05,
                NaN,
                4.006371126117997e-05,
                1.6701423805852586e-05,
                1.4738976674655674e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                0.9999724643089319,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                7.484625367018381e-05,
                NaN,
                NaN,
                1.892515724357613e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                2.1444953507076064e-05,
                NaN
            ],
            [
                0.00023050679514729656,
                NaN,
                NaN,
                1.4738981964307261e-05,
                8.939700564679507e-06,
                4.539786304608196e-05,
                8.939700562695657e-06,
                4.5397852367551086e-05,
                0.4378234991142019,
                4.222834952460187e-06
            ],
            [
                NaN,
                8.93970056529743e-06,
                7.88926066742835e-06,
                1.0129989769962063e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                5.42222155240158e-06,
                NaN
            ],
            [
                1.8925145977014425e-05,
                NaN,
                3.120191506868607e-05,
                1.670142980380249e-05,
                1.8925143728301937e-05,
                4.00636874062132e-05,
                4.0063677828144015e-05,
                1.670142781520948e-05,
                8.481108151456974e-05,
                NaN
            ],
            [
                8.481105128568296e-05,
                6.144177526916564e-06,
                1.4738988975463152e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                1.0129994600159262e-05,
                5.829125840987635e-05,
                2.430024643864256e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9975273770150745,
                NaN,
                0.0002305067409473547,
                NaN,
                NaN,
                0.9999417087136283,
                NaN
            ],
            [
                NaN,
                1.1478766688648692e-05,
                2.1444945852673643e-05,
                0.0008040857922436894,
                4.006370166619866e-05,
                NaN,
                NaN,
                0.7981867729389246,
                1.147876948575242e-05,
                4.539786857692116e-05
            ],
            [
                NaN,
                NaN,
                0.0,
                NaN,
                NaN,
                NaN,
                NaN,
                4.006371124922888e-05,
                0.0002305067952680241,
                9.610238007533814e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00013982214000337947,
                NaN,
                NaN,
                NaN,
                0.00023050667649229876,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                1.8925145974191664e-05,
                0.0002611904314870161,
                NaN,
                7.484624486174719e-05,
                NaN,
                5.829125855619084e-05,
                NaN
            ],
            [
                0.0002611904314110195,
                NaN,
                9.610243767994252e-05,
                NaN,
                9.610242622613922e-05,
                NaN,
                0.00012339461848169986,
                0.00037998457297751443,
                NaN,
                9.610240330734994e-05
            ],
            [
                NaN,
                7.484623601192678e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                9.610244829753971e-05,
                NaN,
                3.120192618864844e-05,
                2.26032429753354e-06
            ],
            [
                NaN,
                2.753568768651453e-05,
                4.222832436779288e-06,
                NaN,
                4.539787399744151e-05,
                NaN,
                0.00013982212355325894,
                0.0002034269222776513,
                NaN,
                NaN
            ],
            [
                NaN,
                1.553497383500805e-06,
                NaN,
                NaN,
                1.0,
                0.9324533088603709,
                NaN,
                NaN,
                NaN,
                2.7535684505068197e-05
            ],
            [
                0.9999724642990576,
                4.006371125884805e-05,
                NaN,
                NaN,
                NaN,
                3.1201907583945445e-05,
                NaN,
                3.2887482794499933e-06,
                3.5356254898252494e-05,
                NaN
            ],
            [
                0.9940889318825533,
                0.9579122756889437,
                0.9149009619539554,
                NaN,
                0.05340332697504391,
                NaN,
                NaN,
                0.9947798735930957,
                0.9859363711875951,
                0.914900950352329
            ],
            [
                0.0005527787251656121,
                8.481105123878872e-05,
                2.1444956044501514e-05,
                NaN,
                NaN,
                8.481101088878567e-05,
                0.6513548646660542,
                NaN,
                0.0001398220730026163,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                2.4300252309307336e-05,
                NaN,
                0.00023050668478225085,
                NaN,
                9.610241472619204e-05,
                NaN
            ],
            [
                NaN,
                4.5397879378987325e-05,
                3.120191135560069e-05,
                3.1201915067096954e-05,
                1.3007133092102508e-05,
                NaN,
                7.8892625810789e-06,
                NaN,
                1.3007123810638006e-05,
                1.6701415867707307e-05
            ],
            [
                2.7535694322475846e-05,
                2.902312676398219e-06,
                NaN,
                NaN,
                0.00020342699613866847,
                0.00013982210200494673,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                5.8291251560237615e-05,
                NaN,
                6.605216031765658e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                7.889260701237816e-06,
                6.962257078819179e-06,
                7.484624485357914e-05,
                NaN,
                3.5356242260622145e-05,
                7.484624503218738e-05,
                3.53562675293277e-05,
                1.0129988562901417e-05,
                NaN,
                3.2887490649221017e-06
            ],
            [
                NaN,
                4.539786858319682e-05,
                NaN,
                6.605212888657352e-05,
                0.0007096704523917,
                NaN,
                NaN,
                8.481106137534633e-05,
                8.481108164661406e-05,
                0.00010889694803204319
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                2.753568452790729e-05,
                NaN,
                NaN,
                3.5356246441695886e-05,
                8.939695235243779e-06,
                NaN
            ],
            [
                0.0,
                7.889259760284216e-06,
                NaN,
                NaN,
                NaN,
                7.889261638230827e-06,
                NaN,
                2.430024071781994e-05,
                NaN,
                NaN
            ],
            [
                7.889264461637948e-06,
                0.9964063976169991,
                5.144219521574275e-05,
                1.670142183983204e-05,
                0.9997694931755025,
                6.962253756460032e-06,
                7.484620039429623e-05,
                0.999925153772784,
                0.9988304899364812,
                NaN
            ],
            [
                NaN,
                NaN,
                8.481104111148777e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                6.1441753337365085e-06,
                6.605216013792677e-05,
                NaN
            ],
            [
                7.88926634687567e-06,
                NaN,
                0.0,
                2.2603248365014775e-06,
                1.8925143717561654e-05,
                NaN,
                NaN,
                0.9986749776608894,
                NaN,
                NaN
            ],
            [
                7.484620044058188e-05,
                0.9997040427596564,
                NaN,
                5.144219504919172e-05,
                0.00023050663212496322,
                3.120191501533714e-05,
                0.9933071501035016,
                7.484620041444411e-05,
                7.48462449695656e-05,
                NaN
            ],
            [
                0.00012339453055529076,
                NaN,
                NaN,
                1.670141586084161e-05,
                NaN,
                NaN,
                0.00020342699300143928,
                NaN,
                1.6701417821514717e-05,
                0.00012339461884078114
            ],
            [
                NaN,
                NaN,
                0.0003353500266649593,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                0.957912276139514,
                0.11920292358664389,
                NaN,
                0.5,
                0.5926665999540698,
                0.9968273177937247,
                0.9740426413422791,
                0.00033535014663333096,
                0.047425869643347295
            ],
            [
                2.753568122134716e-05,
                2.1444950908331436e-05,
                NaN,
                2.1444958625381407e-05,
                NaN,
                6.605212884380361e-05,
                NaN,
                NaN,
                1.8925141465820123e-05,
                7.484624498426811e-05
            ],
            [
                8.481104104114645e-05,
                NaN,
                NaN,
                NaN,
                1.147876812106705e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.3007128461838766e-05,
                4.006367765820538e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                6.144175326472029e-06,
                NaN,
                8.481106150677358e-05,
                NaN,
                0.914900952092573,
                NaN,
                0.0040701378574654855,
                1.6701421838799146e-05,
                NaN
            ],
            [
                NaN,
                2.4300246397624205e-05,
                NaN,
                5.8291279253122906e-05,
                NaN,
                0.0052201268494205125,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                3.12019113244994e-05,
                0.9989677690488362,
                0.7057850154599563,
                NaN,
                NaN,
                NaN,
                1.8925157255280296e-05,
                NaN,
                2.430023782222529e-05,
                1.147876674122331e-05
            ],
            [
                4.539788479389389e-05,
                0.8519527982093666,
                NaN,
                NaN,
                NaN,
                NaN,
                0.8354835452961425,
                NaN,
                3.2887494564079503e-06,
                2.1444940734059286e-05
            ],
            [
                0.0001233945303972951,
                NaN,
                0.9706877699906141,
                NaN,
                0.00033535026860186985,
                NaN,
                0.9978172839075922,
                NaN,
                NaN,
                0.00043055698034432754
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00029595699030782413,
                NaN,
                NaN,
                0.0,
                NaN,
                NaN,
                2.7535694308451837e-05
            ],
            [
                6.96225955799821e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                2.753570421601738e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9626731160024469,
                0.9993736658493961,
                0.9890130574908464,
                0.7981867801399694,
                0.9465966720833627,
                8.481106135683544e-05,
                0.9995694429722843,
                0.0008040860941670998,
                NaN,
                0.9995694429323031
            ],
            [
                0.990291521647152,
                0.46879062662624377,
                0.9933071485618219,
                NaN,
                5.144219515398787e-05,
                0.8670357701094303,
                0.0004305570296445492,
                0.9149009567332237,
                0.9890130551227743,
                0.8807970670261976
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9999687980737645,
                NaN,
                0.9999930377412606,
                1.8925145968614975e-05,
                NaN,
                0.9999251537996787,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00017952798483597825,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.001032231018028039,
                NaN,
                NaN,
                0.0004305570313354868,
                0.9996646499764377,
                NaN,
                0.9902915216829676,
                0.999569443018378,
                8.481105090497588e-05,
                0.9997388097220108
            ],
            [
                0.00017952790046817183,
                NaN,
                NaN,
                NaN,
                0.00012339457389637934,
                NaN,
                NaN,
                0.0,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                2.144494072961245e-05,
                NaN,
                NaN,
                0.999447221260299,
                9.610244901628662e-05,
                7.48462179518055e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                8.481107156496966e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                1.6701419846834993e-05,
                NaN
            ],
            [
                5.144220748924517e-05,
                0.0008040860278524377,
                0.0010322308709748039,
                0.00015843629226681418,
                0.8519527982093666,
                0.7057850278370112,
                0.0002611903073162571,
                0.16451645470385745,
                0.34864514886966624,
                0.9978172836180416
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                8.939696296571067e-06,
                5.144221972045777e-05,
                NaN,
                1.300713466685723e-05,
                7.889263523668778e-06
            ],
            [
                1.3007130012673148e-05,
                NaN,
                0.0001233945583661201,
                8.481103103169929e-05,
                0.0006263341615707083,
                0.00033535009807423454,
                NaN,
                0.00010889688156601991,
                9.61024484597472e-05,
                NaN
            ],
            [
                0.00048785721241631963,
                NaN,
                0.00010889690888255552,
                9.610240245296444e-05,
                NaN,
                NaN,
                NaN,
                0.999769493232506,
                NaN,
                0.000123394530228527
            ],
            [
                NaN,
                0.0001584361954651592,
                6.605214463262879e-05,
                0.9998601779262121,
                NaN,
                4.5397890105748086e-05,
                2.1444950944374182e-05,
                9.61023918311773e-05,
                0.00010889686988677701,
                0.9986749775527474
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00043055706609364974,
                NaN,
                0.1824255304737224,
                NaN,
                5.829127143907809e-05,
                NaN,
                0.4687906266262437
            ],
            [
                NaN,
                0.9999724643089097,
                NaN,
                NaN,
                0.000139822040216319,
                0.9998766053816942,
                NaN,
                0.9999546021313646,
                0.999975699756396,
                NaN
            ],
            [
                2.430023202688216e-05,
                NaN,
                NaN,
                2.1444958628814052e-05,
                NaN,
                NaN,
                1.4738985482351282e-05,
                4.006369683999709e-05,
                1.3007123809289414e-05,
                4.222831930638382e-06
            ],
            [
                4.53978847413765e-05,
                3.53562633082504e-05,
                2.1444958635523312e-05,
                NaN,
                6.962256247656188e-06,
                NaN,
                0.00020342699589597716,
                NaN,
                0.99752737668429,
                NaN
            ],
            [
                2.1444956067203762e-05,
                NaN,
                NaN,
                0.08509905370824053,
                3.5356263245483454e-05,
                NaN,
                2.144494580383651e-05,
                5.422218968822766e-06,
                NaN,
                0.060086646807761206
            ],
            [
                NaN,
                NaN,
                NaN,
                6.605217594790412e-05,
                0.9999339478396377,
                3.120191136649749e-05,
                NaN,
                0.9997040428320744,
                NaN,
                NaN
            ],
            [
                7.484620934866355e-05,
                NaN,
                NaN,
                NaN,
                6.1441745960455e-06,
                NaN,
                0.0002611903700741987,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                5.829126550803852e-05,
                NaN,
                NaN,
                2.4300252318589512e-05,
                1.67014238321306e-05,
                NaN,
                1.4738985476533587e-05,
                2.7535687798506256e-05,
                2.4300237824258528e-05,
                2.1444940698874713e-05
            ],
            [
                3.12019262340518e-05,
                3.120190391705884e-05,
                2.1444945853999886e-05,
                4.539788485169606e-05,
                NaN,
                NaN,
                5.422221542183605e-06,
                NaN,
                NaN,
                1.6701419846834993e-05
            ],
            [
                NaN,
                NaN,
                0.9770226280828406,
                NaN,
                NaN,
                2.430024939055008e-05,
                7.484620918748056e-05,
                NaN,
                0.9820137863860797,
                NaN
            ]
        ]
    },
    {
        "q_id": "10439_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            38,
            39
        ],
        "rewards": [
            [
                4.539786858319682e-05,
                5.829124430685656e-05,
                0.0005527786302990175,
                0.010986941021518854,
                0.0001584362690835582,
                7.484621824966732e-05,
                2.753568451218037e-05,
                1.6701421816014746e-05,
                9.610237997885274e-05,
                0.00013982212298973152
            ],
            [
                0.9740426401178266,
                0.0001795279867166233,
                0.00017952804944137106,
                0.0028009272532596,
                0.010986941163198346,
                0.9796676454329774,
                0.0004878572126717682,
                0.0011695102080758377,
                0.000804085944421305,
                0.9706877705735908
            ],
            [
                5.144222496288813e-05,
                1.6701423826206655e-05,
                NaN,
                4.539787379595972e-05,
                3.5356246336484134e-05,
                1.1478772200925572e-05,
                0.00010889688299997942,
                0.00037998454289739304,
                1.3007129979076624e-05,
                2.1444953486870276e-05
            ],
            [
                NaN,
                8.481104096833701e-05,
                5.422217021520669e-06,
                3.288749848276705e-06,
                3.535625061440978e-05,
                NaN,
                1.1478765353779597e-05,
                8.481108105303168e-05,
                0.0004305569811209062,
                6.144174593765571e-06
            ],
            [
                3.5356267393246886e-05,
                3.535625045723523e-05,
                8.939697356760206e-06,
                1.4738988978733932e-05,
                5.144221343830002e-05,
                4.222835457733473e-06,
                6.1441745928267776e-06,
                1.4738988970101218e-05,
                NaN,
                3.120190010601712e-05
            ],
            [
                2.7535697584060537e-05,
                8.939698418868277e-06,
                0.0001233946177437878,
                4.785093350767582e-06,
                8.93969949923766e-06,
                2.430023775318364e-05,
                1.994730196381114e-06,
                4.539785218687816e-05,
                7.889260678334628e-06,
                3.5356263271207615e-05
            ],
            [
                5.422218320642526e-06,
                0.0004305571718085839,
                6.144172401748879e-06,
                1.0129990975235516e-05,
                7.889261634987642e-06,
                8.939694164907986e-06,
                3.726637950241874e-06,
                6.144172402452975e-06,
                1.6701419801144677e-05,
                6.605217580565805e-05
            ],
            [
                5.1442195022244135e-05,
                8.481101067591067e-05,
                7.889266344981421e-06,
                3.5356238040705445e-05,
                5.8291244557923705e-05,
                1.8925141440966004e-05,
                2.902312330759764e-06,
                5.8291265072487765e-05,
                6.962258735357921e-06,
                5.42221702886853e-06
            ],
            [
                1.3007128456539035e-05,
                6.9622537570932415e-06,
                1.0129992155062584e-05,
                5.4222189669981275e-06,
                1.3007125354586914e-05,
                2.9023112928785396e-06,
                5.4222202614355715e-06,
                6.144172387644621e-06,
                3.2887494563241995e-06,
                4.53978576612351e-05
            ],
            [
                2.7535694345515298e-05,
                3.120191134459038e-05,
                2.4300234888087897e-05,
                6.60521364823171e-05,
                1.1478773590165753e-05,
                8.481101040071576e-05,
                3.535625053286423e-05,
                1.3007133097260285e-05,
                8.481105043973581e-05,
                1.4738987222647056e-05
            ],
            [
                0.00013982208986774736,
                1.1478764014985311e-05,
                2.753568774822017e-05,
                5.82912929468944e-05,
                NaN,
                8.481104071165285e-05,
                2.7535697621124005e-05,
                6.144172398820736e-06,
                5.422217027754022e-06,
                2.144495349826041e-05
            ],
            [
                3.120190752151587e-05,
                8.48110811307774e-05,
                3.120191502691499e-05,
                0.00029595702082497175,
                1.3007129991190302e-05,
                7.889264465555602e-06,
                9.610242586257082e-05,
                0.000804086067697354,
                0.000379984466331832,
                8.481102085565546e-05
            ],
            [
                2.7535697651475977e-05,
                3.1201911199867236e-05,
                5.829124441712254e-05,
                9.610237984740885e-05,
                3.5356237814847504e-05,
                2.561283126304449e-06,
                3.120192242334788e-05,
                5.829129281372693e-05,
                2.5612822103812995e-06,
                7.889262584350785e-06
            ],
            [
                1.6701415819647427e-05,
                6.962254566916791e-06,
                1.30071331025127e-05,
                1.012998734896796e-05,
                6.9622570784012604e-06,
                6.962256235903828e-06,
                4.006367774885875e-05,
                6.962254583886791e-06,
                1.9947304343996117e-06,
                2.1444950935948603e-05
            ],
            [
                1.0129990955666936e-05,
                3.535625056784907e-05,
                4.785093923603471e-06,
                1.4738985412780209e-05,
                2.7535691056684346e-05,
                5.829128581607317e-05,
                2.4300237766974286e-05,
                3.120192239769498e-05,
                2.753569415098222e-05,
                3.1201926085809826e-05
            ],
            [
                9.610241481708411e-05,
                0.00010889696076497818,
                4.006369686681418e-05,
                NaN,
                0.00012339463316812552,
                7.484620875457361e-05,
                2.7535684437352277e-05,
                0.0013250224048892791,
                1.0129995803259e-05,
                NaN
            ],
            [
                1.1478766723726278e-05,
                5.4222176759932836e-06,
                2.753568775222703e-05,
                1.892514821299031e-05,
                2.430024637693822e-05,
                3.120191127115048e-05,
                3.120191121916365e-05,
                8.939693073595555e-06,
                1.1478772210530154e-05,
                1.1478770842921325e-05
            ],
            [
                2.144494583831896e-05,
                0.0002305067386602395,
                4.5397852343109035e-05,
                5.422218968595919e-06,
                6.962254587027508e-06,
                3.535625062830082e-05,
                5.422217672768115e-06,
                0.0001398221038440397,
                4.5397884708016386e-05,
                3.726639283752725e-06
            ],
            [
                3.120190751856465e-05,
                1.8925152728867892e-05,
                2.144495858325351e-05,
                NaN,
                2.4300237782886576e-05,
                7.889263515402963e-06,
                6.144176786073625e-06,
                1.67014258067487e-05,
                1.0129988536459886e-05,
                2.4300237812059105e-05
            ],
            [
                1.892514817471083e-05,
                3.120192611986234e-05,
                1.473897666210876e-05,
                NaN,
                5.8291244363685945e-05,
                4.7850944937411915e-06,
                5.144220745705777e-05,
                6.9622587348513535e-06,
                1.0129988546410007e-05,
                4.539786852374319e-05
            ],
            [
                8.481105105429698e-05,
                0.00010889690780193605,
                8.939698432690187e-06,
                5.144220730697468e-05,
                8.939695230918335e-06,
                3.1201911314056636e-05,
                1.1478769463620127e-05,
                1.6701419817913995e-05,
                5.422221553072258e-06,
                2.260324836624822e-06
            ],
            [
                NaN,
                5.8291292009632845e-05,
                1.1478772216710494e-05,
                6.9622595602271066e-06,
                0.00010889690842305458,
                2.14449481956078e-05,
                5.1442195079882024e-05,
                3.7266392829528392e-06,
                2.4300252180329324e-05,
                4.222834952030037e-06
            ],
            [
                1.4738987177928536e-05,
                1.8925152720330735e-05,
                1.1478768114051531e-05,
                3.535625483162694e-05,
                6.144172401145369e-06,
                1.0129990977759901e-05,
                7.889265401214474e-06,
                3.726637950851956e-06,
                6.1441775296994185e-06,
                2.4300252253172284e-05
            ],
            [
                2.144494839142443e-05,
                3.726640614816945e-06,
                8.93969736427282e-06,
                3.5356267527012524e-05,
                7.88926163685319e-06,
                1.3007133082733335e-05,
                3.1201922453768124e-05,
                3.120190374486672e-05,
                1.0129987343366409e-05,
                1.8925148147447027e-05
            ],
            [
                1.6701417842658638e-05,
                1.892515047684989e-05,
                3.726638394957837e-06,
                3.7266379505740294e-06,
                1.1478770855741353e-05,
                2.4300240715698294e-05,
                1.1478772223224906e-05,
                0.00020342704182383422,
                1.300712380555121e-05,
                2.1444943197057316e-05
            ],
            [
                5.8291265233645785e-05,
                2.4300249363852786e-05,
                1.012999457382827e-05,
                3.120192246057862e-05,
                1.0129993379296843e-05,
                1.7603425834564988e-06,
                1.3007126888669986e-05,
                1.0129993379296843e-05,
                8.93969523573161e-06,
                4.006367769085225e-05
            ],
            [
                4.78509278207486e-06,
                2.7535697639856078e-05,
                0.0002611903073162571,
                4.006368728611932e-05,
                3.5356246366838624e-05,
                8.481103096382608e-05,
                3.120191504553037e-05,
                5.829127939137956e-05,
                7.484623551530879e-05,
                3.120190015868497e-05
            ],
            [
                1.4738980181894143e-05,
                4.2228349527213495e-06,
                2.430024069660355e-05,
                8.939698432202356e-06,
                3.5356246405682084e-05,
                4.539789005422158e-05,
                0.00012339461697535384,
                4.785096201273734e-06,
                1.6701429676452816e-05,
                4.006368716923182e-05
            ],
            [
                1.8925148203902373e-05,
                6.14417459774427e-06,
                1.9947301969217434e-06,
                1.4738987218571988e-05,
                3.535626314104337e-05,
                5.829126544654401e-05,
                2.1444940711044987e-05,
                1.3007128424740637e-05,
                2.1444948380970476e-05,
                1.8925148183798764e-05
            ],
            [
                7.88926634305847e-06,
                3.5356246100593726e-05,
                1.9947304346826253e-06,
                1.8925152699814032e-05,
                4.222833947121688e-06,
                0.00043055714745907547,
                2.7535697110048882e-05,
                NaN,
                4.0063687141540275e-05,
                1.6701419686554344e-05
            ],
            [
                1.892515497620449e-05,
                6.1441775253966106e-06,
                8.939695221486917e-06,
                4.539786295326824e-05,
                1.9947299590520376e-06,
                7.889259743781295e-06,
                2.1444940739364273e-05,
                0.001700722324072478,
                2.9023126768258393e-06,
                1.7603432128813917e-06
            ],
            [
                5.829129285444054e-05,
                1.1478766749575118e-05,
                2.4300243591756525e-05,
                6.962257902054487e-06,
                1.6701425810029656e-05,
                0.00017952797169758347,
                1.8925143723000643e-05,
                0.00020342689616762835,
                1.8925143641346955e-05,
                1.0129987351621326e-05
            ],
            [
                5.829129324249228e-05,
                4.539787925149228e-05,
                1.892514371095225e-05,
                7.484624457532056e-05,
                4.539786317522845e-05,
                0.00012339455910403177,
                0.00010889692934777892,
                0.00013982212258488688,
                0.00020342694667108092,
                0.00013982207337694488
            ],
            [
                1.670142581762446e-05,
                1.6701415867221242e-05,
                0.00015843621545572309,
                1.0129993388915298e-05,
                2.430023200407455e-05,
                3.1201926179794786e-05,
                9.610244879674718e-05,
                0.0006263341978960175,
                1.892515048820981e-05,
                0.0003799845659024398
            ],
            [
                0.00023050670342122996,
                7.88926163757071e-06,
                0.0001088968954445304,
                7.889265405849647e-06,
                5.42221702682691e-06,
                5.4222202613172164e-06,
                1.670141584261409e-05,
                1.1478770820371442e-05,
                3.535625063370289e-05,
                6.144175328707254e-06
            ],
            [
                1.3007133067685872e-05,
                2.753568106658225e-05,
                1.8925145948029428e-05,
                0.00048785709192976297,
                0.0001398220543187388,
                8.939700561817559e-06,
                4.785094493184135e-06,
                8.939698431942181e-06,
                6.144173868558375e-06,
                6.144172320677336e-06
            ],
            [
                1.1478769489719528e-05,
                2.7535697622726747e-05,
                0.00013982208926149777,
                5.422220906223202e-06,
                1.6701423727595754e-05,
                8.93969949271697e-06,
                NaN,
                7.88926070293116e-06,
                3.288749065209246e-06,
                5.829127231654119e-05
            ],
            [
                5.14422195022571e-05,
                4.006370640437078e-05,
                6.605215237686751e-05,
                8.939693097336704e-06,
                5.422219605936901e-06,
                1.300712380408432e-05,
                2.9023133684671433e-06,
                3.1201907569870414e-05,
                1.670142183132586e-05,
                5.829124434248095e-05
            ],
            [
                6.144173867284299e-06,
                2.1444950954750122e-05,
                4.7850944902944094e-06,
                8.939693100686484e-06,
                6.96225956837018e-06,
                2.2603234877661963e-06,
                1.4738980207363312e-05,
                4.785093352360413e-06,
                5.422217676101776e-06,
                1.0129989768322136e-05
            ],
            [
                4.0063692016711e-05,
                1.1478768122069266e-05,
                5.829125131807653e-05,
                2.753569757965299e-05,
                0.00010889688268942024,
                1.670141584261409e-05,
                1.670142980222277e-05,
                0.0001398220224418199,
                5.144221345925926e-05,
                6.144177529855884e-06
            ],
            [
                2.7535700870488155e-05,
                4.785095064436034e-06,
                1.0129992179053445e-05,
                2.9023109448698626e-06,
                4.539786825058677e-05,
                1.670142976734743e-05,
                1.3007128442248683e-05,
                9.610244871284678e-05,
                3.535623793497923e-05,
                1.0129989733570403e-05
            ],
            [
                3.120191498241972e-05,
                2.7535700868484725e-05,
                1.012998850609358e-05,
                1.5534984952662413e-06,
                2.4300243582562758e-05,
                2.1444956025465942e-05,
                1.4738985470206506e-05,
                2.1444940712293222e-05,
                1.99472900777306e-06,
                2.1444956006898462e-05
            ],
            [
                1.8925141442067574e-05,
                2.7535700833224343e-05,
                5.144223808300156e-05,
                6.144173101843166e-06,
                1.0129995784206343e-05,
                1.012999457161713e-05,
                1.892514807006189e-05,
                1.4738976671974708e-05,
                1.8925143658421248e-05,
                1.300712995891871e-05
            ],
            [
                2.4300249394528152e-05,
                8.481105114931948e-05,
                1.1478770859019436e-05,
                3.120190016481442e-05,
                3.7266397273639203e-06,
                2.7535700876899134e-05,
                4.539786303253974e-05,
                2.7535687791694597e-05,
                9.610245973456558e-05,
                4.0063677800452475e-05
            ],
            [
                1.4738980116264111e-05,
                2.7535697551003934e-05,
                6.962257894000065e-06,
                6.144175318022882e-06,
                1.892515274339482e-05,
                4.006367770251186e-05,
                0.00010889695327669395,
                3.120190757940511e-05,
                1.1478772180630675e-05,
                5.144223784084739e-05
            ],
            [
                NaN,
                0.0004305571645939146,
                NaN,
                NaN,
                0.0005527787221427441,
                7.48462261492682e-05,
                3.535624922710647e-05,
                3.7266401721817755e-06,
                NaN,
                8.939693101694668e-06
            ],
            [
                8.481106138460176e-05,
                3.53562633082504e-05,
                4.539789017213801e-05,
                2.4300237759194946e-05,
                8.481103072441876e-05,
                5.829124430685656e-05,
                1.6701425810029656e-05,
                0.0002305066419172996,
                5.14422319797437e-05,
                2.753570414629798e-05
            ],
            [
                1.1478764008095073e-05,
                1.473898722564974e-05,
                1.4738987221842767e-05,
                3.535625479844279e-05,
                1.3007126906982452e-05,
                7.889261632031466e-06,
                8.481108076179376e-05,
                7.889263502487627e-06,
                1.1478766743561818e-05,
                6.962258734344787e-06
            ],
            [
                5.144223811518898e-05,
                4.0063696876141854e-05,
                3.120192239179253e-05,
                0.0008040858239512542,
                2.14449458053968e-05,
                0.00023050665757162446,
                4.5397873964411704e-05,
                0.9902915231066446,
                2.7535684481628068e-05,
                7.484620899308084e-05
            ],
            [
                7.8892663403606e-06,
                2.4300243595999808e-05,
                2.144495605089871e-05,
                1.4738985472244041e-05,
                8.93970055547574e-06,
                4.2228324372555256e-06,
                5.422217675756574e-06,
                2.4300243488503432e-05,
                4.78509276874905e-06,
                2.4300240659651673e-05
            ],
            [
                4.785093350245343e-06,
                1.3709576969402887e-06,
                4.00636920782154e-05,
                1.8925154993072253e-05,
                2.144494324917105e-05,
                5.422218967797024e-06,
                1.1478773474242616e-05,
                4.785095632032323e-06,
                0.00017952795900323085,
                6.9622554173544636e-06
            ],
            [
                6.962259549462547e-06,
                0.0004878570776246473,
                NaN,
                3.5356258854627245e-05,
                8.939697338938074e-06,
                4.539787877057832e-05,
                4.5397889661166804e-05,
                4.539788998618016e-05,
                2.144495341088404e-05,
                1.8925141348572044e-05
            ],
            [
                2.902311291368672e-06,
                3.1201914873224665e-05,
                1.3007131552624333e-05,
                6.962257898559173e-06,
                1.300713464913624e-05,
                7.889263513307808e-06,
                2.430024936738885e-05,
                3.726641057967347e-06,
                6.144173863383833e-06,
                8.481104062280064e-05
            ],
            [
                5.715003107416295e-07,
                1.1478769473308226e-05,
                8.31528423991904e-07,
                4.785096773840142e-06,
                2.561282514884537e-06,
                4.222835456105047e-06,
                8.939700554565119e-06,
                1.2098656832105129e-06,
                3.726637950973972e-06,
                3.726637950411341e-06
            ],
            [
                1.670141781543888e-05,
                7.889259697917522e-06,
                7.88926539231724e-06,
                2.4300243569125712e-05,
                7.88926352407059e-06,
                6.9622570784012604e-06,
                2.7535691078121046e-05,
                6.14417458965276e-06,
                6.605217304819858e-05,
                5.422218959600949e-06
            ],
            [
                8.93969842784439e-06,
                2.753569423672903e-05,
                2.1444940680307246e-05,
                7.889261558643674e-06,
                8.939696288147833e-06,
                1.3007133108948093e-05,
                1.3007133084531459e-05,
                9.422449307358345e-07,
                5.144223776823856e-05,
                1.3007126888669986e-05
            ],
            [
                3.2887498485279564e-06,
                3.7266383937647876e-06,
                4.222831931129981e-06,
                4.222834952460187e-06,
                1.0677026153919963e-06,
                3.7266379505740294e-06,
                2.7535684477821552e-05,
                6.962254586622255e-06,
                1.0129987294389696e-05,
                1.7603436298382838e-06
            ],
            [
                1.0129994585694721e-05,
                2.144494580992165e-05,
                3.120192617048709e-05,
                3.2887494522802457e-06,
                3.726640603103361e-06,
                4.5397884720898016e-05,
                3.535626261189745e-05,
                2.7535687771059268e-05,
                1.0129995800347667e-05,
                4.539789011037226e-05
            ],
            [
                2.4300234844240704e-05,
                6.9622545849505825e-06,
                0.6791786861878392,
                6.605212849539707e-05,
                4.222831931452594e-06,
                5.8291265411767815e-05,
                NaN,
                0.00037998442614763165,
                1.1478765369146918e-05,
                0.0002959570865177925
            ],
            [
                6.605212041044362e-05,
                7.484626254505505e-05,
                1.6701417851711638e-05,
                1.892515049199645e-05,
                9.610243743663133e-05,
                3.5356242231939725e-05,
                5.8291265253578496e-05,
                1.6701417790649456e-05,
                8.939693103938694e-06,
                3.535625482005107e-05
            ],
            [
                3.120190760528502e-05,
                9.61024478388841e-05,
                2.9023116385379885e-06,
                0.0001398220377913214,
                1.1478770859917257e-05,
                1.1478768094508301e-05,
                4.006371122007986e-05,
                3.120191489842352e-05,
                6.605214433948666e-05,
                3.535625473207447e-05
            ],
            [
                7.889261635762563e-06,
                4.2228354563508465e-06,
                4.006371100758351e-05,
                1.4738978438140754e-05,
                1.6701415819647427e-05,
                1.9947299590520376e-06,
                1.0129993392342568e-05,
                4.222832433299679e-06,
                1.1478770842921325e-05,
                3.288749848677511e-06
            ],
            [
                1.670142381423725e-05,
                4.006370149509396e-05,
                1.0129988543977756e-05,
                1.6701427791361794e-05,
                NaN,
                7.889260693746924e-06,
                2.1444955966954977e-05,
                1.9947292454358343e-06,
                4.006370634257487e-05,
                5.144220725120814e-05
            ],
            [
                3.1201918783020485e-05,
                NaN,
                6.605215061753403e-05,
                6.962254585203866e-06,
                6.14417606210672e-06,
                4.53978899974103e-05,
                4.0063677758769415e-05,
                8.939697360662863e-06,
                NaN,
                4.785094489458826e-06
            ],
            [
                2.7535704134878425e-05,
                8.939700551670646e-06,
                1.6701425805958843e-05,
                1.3007123805078022e-05,
                2.2603251052454245e-06,
                4.53978576612351e-05,
                0.00013982205510808376,
                1.0129988540661047e-05,
                1.8925152735477297e-05,
                1.300712999772033e-05
            ],
            [
                2.753569420407312e-05,
                0.0006263340203137336,
                2.753570414629798e-05,
                6.144174596313726e-06,
                1.3007134658505415e-05,
                1.0129995800789894e-05,
                1.994729957785731e-06,
                7.889263517325914e-06,
                2.4300240682812897e-05,
                7.889265404328504e-06
            ],
            [
                1.3007130007515371e-05,
                0.1480472055495773,
                0.0002959571992435725,
                5.8291250907547785e-05,
                2.430024061668849e-05,
                2.902313366519096e-06,
                3.535624638844691e-05,
                0.0009110511274315946,
                1.892514594431164e-05,
                0.0003799845621880256
            ],
            [
                2.7535704170940182e-05,
                4.785093922254353e-06,
                7.8892625772904e-06,
                2.144495094975719e-05,
                4.785093923690512e-06,
                8.939698429893283e-06,
                6.962258738701267e-06,
                6.962256245579263e-06,
                NaN,
                2.5612828199701775e-06
            ],
            [
                6.605216023019448e-05,
                2.430023488631986e-05,
                3.2887506327561457e-06,
                0.00020342701917658702,
                2.902312676398219e-06,
                1.8925150487521332e-05,
                1.4738978439695717e-05,
                5.4222196143006464e-06,
                0.00023050662655138017,
                9.6102460208603e-05
            ],
            [
                NaN,
                4.785092773971444e-06,
                0.0001398220554457932,
                NaN,
                3.5356242224994204e-05,
                0.0009110511210737737,
                3.535626321718688e-05,
                6.605212807154249e-05,
                0.0001584362153911779,
                3.120192236999894e-05
            ],
            [
                6.144177526670688e-06,
                2.144495091316834e-05,
                1.147877082129014e-05,
                1.4738987207419167e-05,
                5.422219613353806e-06,
                6.962255418924822e-06,
                4.006368720450211e-05,
                8.481107075481002e-05,
                2.14449560556576e-05,
                4.5397868504255614e-05
            ],
            [
                2.9023130229209922e-06,
                1.553497753781184e-06,
                5.04347348020793e-07,
                1.3007131555463476e-05,
                2.260323489192885e-06,
                7.889259749406639e-06,
                1.6701425789250278e-05,
                6.962259568889411e-06,
                4.785095064044355e-06,
                3.28875024092319e-06
            ],
            [
                1.892514361463394e-05,
                3.7266397273639203e-06,
                6.1441775248378034e-06,
                1.1478773587200861e-05,
                2.4300249370748112e-05,
                4.785095063069508e-06,
                4.0063691975610905e-05,
                1.892514820142385e-05,
                2.430023191779461e-05,
                1.67014238037868e-05
            ],
            [
                2.5612822094169e-06,
                1.4738981968060613e-05,
                2.4300240682812897e-05,
                8.93969309375927e-06,
                3.535626325448691e-05,
                1.6701427780060728e-05,
                1.7603436326080487e-06,
                2.144494837441725e-05,
                2.7535687726382783e-05,
                7.889261635360753e-06
            ],
            [
                3.535624197083968e-05,
                1.0129992149387324e-05,
                8.939693101044227e-06,
                7.4846226468367e-05,
                8.939696290164207e-06,
                4.539786289843879e-05,
                4.006368715086795e-05,
                1.6701425799579208e-05,
                0.00010889690831372504,
                1.1478765377958073e-05
            ],
            [
                5.422220260794484e-06,
                1.1478765357955499e-05,
                4.539787380124449e-05,
                6.962258738283349e-06,
                NaN,
                1.1478769490700865e-05,
                2.1444948352105077e-05,
                1.0129988554333255e-05,
                0.00012339463328123619,
                6.14417606469958e-06
            ],
            [
                4.006369684699285e-05,
                1.0129992178205843e-05,
                2.144495602390565e-05,
                2.7535694326282365e-05,
                1.1478765375285496e-05,
                0.0003799845056648168,
                1.3007130006048483e-05,
                6.144175333401224e-06,
                7.889262576171072e-06,
                4.0063677649752175e-05
            ],
            [
                5.14422257170466e-05,
                4.785095056367431e-06,
                4.7850967742927495e-06,
                2.1444948353665366e-05,
                2.144494566543864e-05,
                5.42221702886853e-06,
                1.8925152701190996e-05,
                1.0129994594539281e-05,
                4.7850967749455485e-06,
                5.422220256040561e-06
            ],
            [
                2.1444945846588504e-05,
                0.00043055706206045007,
                0.00020342691882670047,
                0.00857748572258752,
                5.829124441712254e-05,
                3.120192251336002e-05,
                2.7535687760040406e-05,
                0.00020342704294258225,
                5.14421951229233e-05,
                2.1444943284979742e-05
            ],
            [
                6.144176797998549e-06,
                1.9947301957062337e-06,
                7.338212429087055e-07,
                1.670141782929179e-05,
                4.539788457523655e-05,
                1.4738988971066366e-05,
                4.785093347512289e-06,
                2.430025227368147e-05,
                2.144494068514415e-05,
                2.144494578573713e-05
            ],
            [
                1.0129992174446906e-05,
                1.0129989733570403e-05,
                1.300712532487056e-05,
                7.889265395416921e-06,
                7.889263499502749e-06,
                0.0001795279718543039,
                1.892514369215675e-05,
                5.144221342220632e-05,
                1.892514820142385e-05,
                3.726637947591406e-06
            ],
            [
                0.9241418147556224,
                1.1478773552916678e-05,
                5.8291265057220165e-05,
                6.962253756687988e-06,
                NaN,
                2.7535684483431157e-05,
                1.0129992141353518e-05,
                4.222832434974193e-06,
                3.1201900143474856e-05,
                8.939694165298253e-06
            ],
            [
                1.4738978437390084e-05,
                0.0002959569831090844,
                3.7266410596010127e-06,
                1.1478765382927399e-05,
                1.0677031245623505e-06,
                1.3007126890278833e-05,
                NaN,
                1.4738978418891425e-05,
                5.144223794190091e-05,
                1.1478764016780948e-05
            ],
            [
                2.430023487960134e-05,
                0.0007096703508042315,
                0.00017952800715296746,
                1.8925148224556773e-05,
                1.8925148194952138e-05,
                1.147877220986201e-05,
                2.430025228711852e-05,
                1.892514369573685e-05,
                1.3007126882802424e-05,
                4.2228334352580646e-06
            ],
            [
                6.962257906334983e-06,
                1.5534983099564047e-06,
                8.481101032420415e-05,
                4.006369670591165e-05,
                4.785093922393616e-06,
                4.006369682221619e-05,
                3.1201914905234026e-05,
                0.00010889695981587062,
                8.939693101987369e-06,
                6.144176791572277e-06
            ],
            [
                NaN,
                7.484620883080879e-05,
                3.1201907597112416e-05,
                2.4300243522449657e-05,
                9.610238018161194e-05,
                1.8925152673238702e-05,
                NaN,
                2.144494836302712e-05,
                1.4738981953476161e-05,
                5.1442201131485964e-05
            ],
            [
                1.1478764009139048e-05,
                1.7603425829954052e-06,
                7.484622624292859e-05,
                5.829125137787462e-05,
                1.670141783822328e-05,
                4.785093345475555e-06,
                6.144173120440225e-06,
                7.889266338208041e-06,
                0.00013982210578281806,
                6.605215237062023e-05
            ],
            [
                7.889266343575084e-06,
                1.4738978434923596e-05,
                2.1444950945466384e-05,
                1.147876810152382e-05,
                8.939693098897767e-06,
                1.6701427753205508e-05,
                9.610237987677397e-05,
                1.6701423801721013e-05,
                NaN,
                7.88925976126004e-06
            ],
            [
                6.962253756890615e-06,
                3.12019224737456e-05,
                1.0129993383461157e-05,
                3.2887506334560605e-06,
                NaN,
                2.902312330891746e-06,
                1.8925154974965226e-05,
                2.4300240685995356e-05,
                4.2228344483391495e-06,
                6.962257905169877e-06
            ],
            [
                1.0129988549837274e-05,
                1.553497384058899e-06,
                1.4738976665218677e-05,
                NaN,
                1.012999217687916e-05,
                8.939696280082345e-06,
                5.1442194704487227e-05,
                1.4738987235622935e-05,
                0.00013982202035656634,
                3.288748672879957e-06
            ],
            [
                3.535624639436346e-05,
                NaN,
                NaN,
                5.422219605936901e-06,
                2.753568433257291e-05,
                2.753569705555557e-05,
                1.89251503840428e-05,
                3.2887494547329397e-06,
                6.144176794746296e-06,
                0.6791786926816161
            ],
            [
                5.1442225844299154e-05,
                4.006371106325814e-05,
                0.00010889689467447029,
                6.605212085304002e-05,
                7.484626225427203e-05,
                3.120190016685757e-05,
                9.610239106488727e-05,
                7.484621779388972e-05,
                1.0129995805691255e-05,
                5.829129308260648e-05
            ],
            [
                4.539786849170429e-05,
                1.4738980168060362e-05,
                6.60521286174595e-05,
                3.120190376166595e-05,
                1.892514370117584e-05,
                6.605215220434614e-05,
                3.2887506315477448e-06,
                3.1201903771427666e-05,
                5.144223171625604e-05,
                1.3007126888669986e-05
            ],
            [
                2.4300234814184164e-05,
                5.144223787827462e-05,
                2.144494831340984e-05,
                3.2887486729337966e-06,
                2.7535684242017897e-05,
                0.0003353501290419999,
                7.889264461924958e-06,
                NaN,
                4.539788469909834e-05,
                1.892515044118663e-05
            ],
            [
                8.939694163379449e-06,
                2.753570085966963e-05,
                1.9947294813860398e-06,
                5.144223181618673e-05,
                1.8925143702277406e-05,
                2.2603240281236263e-06,
                0.00010889693430563672,
                3.120191105752777e-05,
                2.1444943259312946e-05,
                6.144175316279408e-06
            ],
            [
                2.4300237794201987e-05,
                2.1444948393530826e-05,
                4.785093921175058e-06,
                2.9023126768680736e-06,
                1.4738987221842767e-05,
                2.4300237708275628e-05,
                2.9023116388547446e-06,
                8.939699484488867e-06,
                6.9622554148849475e-06,
                1.7603434230537046e-06
            ],
            [
                1.3007130006048483e-05,
                1.6701423751899118e-05,
                7.889261638230827e-06,
                6.9622562428437995e-06,
                1.8925157237517507e-05,
                1.0129995785606732e-05,
                1.3007131434137422e-05,
                1.9947297211279344e-06,
                2.144495858013292e-05,
                8.93969416907082e-06
            ],
            [
                1.4738985437445098e-05,
                1.670141983085553e-05,
                3.120190388198478e-05,
                2.753569099177321e-05,
                1.0129990974903845e-05,
                2.1444948282828116e-05,
                1.1478769456688128e-05,
                2.7535704154912737e-05,
                6.9622537576631295e-06,
                2.4300240679453632e-05
            ],
            [
                9.610243725904215e-05,
                1.3007123806450271e-05,
                1.670142381836882e-05,
                0.9996646497322079,
                1.3007125343561579e-05,
                0.9993736656971359,
                1.892514595381266e-05,
                0.997817283431431,
                0.9991959139970272,
                4.222834953804408e-06
            ],
            [
                7.484624482036237e-05,
                5.829124425341997e-05,
                0.0002611902413892761,
                6.96225375863827e-06,
                1.300712534498115e-05,
                0.00015843617490752244,
                2.7535690731126962e-05,
                2.144495858013292e-05,
                1.1478769479572082e-05,
                0.00048785713177973037
            ],
            [
                1.8925154971385126e-05,
                2.75356844906435e-05,
                1.8925141433805818e-05,
                1.0129990973503458e-05,
                1.0129990975235516e-05,
                8.939697341019492e-06,
                1.1478763993688211e-05,
                0.00020342701809927422,
                0.7057850216484838,
                1.0129994601301684e-05
            ],
            [
                1.8925143643137e-05,
                4.222835455260108e-06,
                8.939696289676375e-06,
                5.829125100933177e-05,
                6.9622554153915155e-06,
                1.4738985473530904e-05,
                0.00012339463294908592,
                0.0003353500321384665,
                5.422218959285336e-06,
                1.012998976043574e-05
            ],
            [
                2.4300249368980077e-05,
                1.6701419825205004e-05,
                4.539785213667288e-05,
                1.8925152684805167e-05,
                2.430024053606622e-05,
                5.144223195579028e-05,
                7.889260690274135e-06,
                0.0006263341067366196,
                1.8925148194952138e-05,
                NaN
            ],
            [
                3.2887494547329397e-06,
                7.889265400583057e-06,
                6.962256248606003e-06,
                4.785093353013212e-06,
                5.422217024578168e-06,
                3.726639724666001e-06,
                6.962256234181499e-06,
                2.1444950962395557e-05,
                6.144173843535047e-06,
                6.144176046303683e-06
            ],
            [
                2.753568119179658e-05,
                4.006369686681418e-05,
                3.535624222962456e-05,
                4.53978847572308e-05,
                6.962254584444015e-06,
                6.605217592003159e-05,
                4.5397879059919406e-05,
                8.93969522776369e-06,
                4.0063692140011286e-05,
                1.670141767958312e-05
            ],
            [
                3.12019261530068e-05,
                6.144174596313726e-06,
                1.6701421797058122e-05,
                1.7603434230537046e-06,
                7.889263518043432e-06,
                1.1478770838077277e-05,
                1.6701417844299117e-05,
                NaN,
                2.4300240714549077e-05,
                2.1444953486870276e-05
            ],
            [
                1.473897662875756e-05,
                6.605216780527756e-05,
                6.144174598593655e-06,
                6.60521519775214e-05,
                1.300712688791288e-05,
                1.3007134649798706e-05,
                3.120191865078323e-05,
                4.0063692054313215e-05,
                6.962257898559173e-06,
                1.3007131549501275e-05
            ],
            [
                2.753570418556523e-05,
                7.889266345196678e-06,
                5.4222209055130735e-06,
                6.1441738684354385e-06,
                8.939699491546175e-06,
                2.144494831340984e-05,
                2.9023133679867307e-06,
                6.1441775296994185e-06,
                3.2887478887419687e-06,
                6.962253747443138e-06
            ],
            [
                1.1478765295651035e-05,
                7.88926164035468e-06,
                8.481107042531632e-05,
                0.0001795279782589447,
                0.0001795280053141143,
                3.120191869028414e-05,
                6.605215222741307e-05,
                6.605213652748982e-05,
                0.0007096702871521152,
                0.00037998459865782577
            ],
            [
                1.3007134657984903e-05,
                4.222833443154396e-06,
                1.1478765385432939e-05,
                7.889260701237816e-06,
                4.22283193320392e-06,
                1.1478768114051531e-05,
                1.8925154966428073e-05,
                1.4738987222647056e-05,
                1.4738980149293603e-05,
                2.4300240655762002e-05
            ],
            [
                4.222831929148218e-06,
                2.144494327335557e-05,
                5.422219613353806e-06,
                5.14422068017074e-05,
                2.2603251060142746e-06,
                1.0129993376422359e-05,
                6.962257908196617e-06,
                5.144220104690049e-05,
                1.1478766735335288e-05,
                2.260324027128644e-06
            ],
            [
                4.222834953420345e-06,
                5.4222196154940574e-06,
                4.222834954211514e-06,
                6.962255418658875e-06,
                7.8892654060075e-06,
                1.6701423792728773e-05,
                2.144494324449018e-05,
                7.889260700721204e-06,
                1.3007130008414434e-05,
                4.785096773021966e-06
            ],
            [
                1.3007126890278833e-05,
                3.726638391500705e-06,
                8.939693095613033e-06,
                6.962259568078904e-06,
                2.9023130229209922e-06,
                2.7535690948899807e-05,
                5.422221554926484e-06,
                2.1444956043097248e-05,
                2.430024355427424e-05,
                3.120191876292951e-05
            ],
            [
                3.120191134288775e-05,
                5.144223184837414e-05,
                1.6701423825538316e-05,
                2.9023116383479355e-06,
                2.430025228428967e-05,
                2.1444953521586782e-05,
                4.785093919486482e-06,
                6.1441731363550164e-06,
                1.1478769478987456e-05,
                2.1444948400318094e-05
            ],
            [
                4.539785741615406e-05,
                3.120192608240457e-05,
                1.892514143132729e-05,
                NaN,
                5.42222154819998e-06,
                9.610242489491956e-05,
                4.785095634756674e-06,
                9.610240213833803e-05,
                1.473898193781932e-05,
                2.430025227049901e-05
            ],
            [
                2.7535697596682154e-05,
                1.892515046211642e-05,
                1.147876673608695e-05,
                2.753569104786925e-05,
                6.144173134343315e-06,
                7.484621774052508e-05,
                2.1444943222490066e-05,
                1.8925157234281645e-05,
                7.889259760284216e-06,
                5.829126520650338e-05
            ],
            [
                4.0063677595826534e-05,
                1.892514139263474e-05,
                3.7266397254252144e-06,
                8.939693100361262e-06,
                NaN,
                6.962256246491084e-06,
                1.1478769482829286e-05,
                8.481106103659722e-05,
                1.3007123760787413e-05,
                4.006369209133245e-05
            ],
            [
                7.484625346434867e-05,
                2.7535694324479282e-05,
                0.0006263341601497585,
                7.484620885259027e-05,
                1.0129994598777299e-05,
                0.0001088968952433007,
                0.00015843625362498245,
                5.829127935617924e-05,
                1.0129994583336173e-05,
                2.144494073796001e-05
            ],
            [
                1.6701423756638278e-05,
                5.422219614152703e-06,
                1.4738987169671157e-05,
                8.9396962925058e-06,
                1.3007126900594382e-05,
                2.260323754692702e-06,
                6.962257904663309e-06,
                1.670142779591868e-05,
                3.726637950329997e-06,
                NaN
            ],
            [
                5.422218315375735e-06,
                4.7850927818311495e-06,
                4.7850927818311495e-06,
                1.0129990976728036e-05,
                6.1441753308083655e-06,
                0.00012339455965881214,
                1.0129992177800467e-05,
                1.4738987190797175e-05,
                2.9023133683457202e-06,
                3.1201914976744295e-05
            ],
            [
                4.785093923116048e-06,
                1.1478768120315386e-05,
                1.0129990965911879e-05,
                1.892514822538295e-05,
                1.30071346612026e-05,
                1.994729245392294e-06,
                7.88926069747802e-06,
                6.1441731304316735e-06,
                3.7266401710293977e-06,
                1.892515499135105e-05
            ],
            [
                3.288748279234635e-06,
                1.670142778431382e-05,
                1.6701425822059825e-05,
                0.053403335449385296,
                0.09534946939781196,
                0.0006263341263020049,
                0.00012339458309244824,
                5.829129285444054e-05,
                5.8291265401165313e-05,
                0.0031726822092206968
            ],
            [
                1.3007131558917768e-05,
                2.144495344521047e-05,
                8.939696301140427e-06,
                7.889262555190829e-06,
                2.1444950867451783e-05,
                1.892514145328979e-05,
                5.4222176733598895e-06,
                4.222833933495137e-06,
                7.889263516952803e-06,
                3.726638390795721e-06
            ],
            [
                8.481104115899903e-05,
                1.0129988561372045e-05,
                2.430023780003649e-05,
                7.889264464106214e-06,
                8.93969310418261e-06,
                0.00015843623423837232,
                1.892515722601989e-05,
                7.889261640899994e-06,
                3.535626311248956e-05,
                8.9396973602726e-06
            ],
            [
                2.4300240669022242e-05,
                8.93969842042934e-06,
                1.670142378397956e-05,
                1.012999096259517e-05,
                2.4300243584153988e-05,
                2.5612825152292983e-06,
                1.1478770834235445e-05,
                1.8925141427471807e-05,
                3.1201926212712214e-05,
                2.2603234891558813e-06
            ]
        ]
    },
    {
        "q_id": "10761_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999417087344838,
                2.4300234933172706e-05,
                9.610242631353545e-05,
                0.9993736659063435,
                0.00015843619568415174,
                0.9924227569637845,
                0.9988304896324083,
                0.5621765008857981,
                5.829126543170052e-05,
                0.996406396622402
            ],
            [
                0.9991959140684862,
                0.998674977583095,
                1.8925154997891613e-05,
                2.1444945850567248e-05,
                5.829128626561938e-05,
                0.995929861627222,
                2.4300246519706854e-05,
                0.0013250223839386805,
                5.829125853074485e-05,
                2.4300246512104316e-05
            ],
            [
                0.9999251537372105,
                0.9999832985761661,
                0.9999151889890433,
                0.9999417087136322,
                0.9999599363173831,
                0.9999785550515979,
                0.9999151889588693,
                0.9998911030394917,
                0.9999785550464939,
                0.9999869928653352
            ],
            [
                0.0004878570334036772,
                0.0013250225617106829,
                0.9999485577618665,
                0.0002611903348270022,
                0.0004305570790950822,
                0.00013982209020545688,
                0.0003799846024827884,
                0.0010322311878895563,
                0.00017952800774066911,
                0.9999599362887636
            ],
            [
                0.0006263342874523053,
                0.9149009567332238,
                0.99995460211518,
                0.0003353500595255175,
                0.0004878572088116566,
                0.00013982207307992327,
                0.00012339458912680775,
                0.00033535026034769804,
                0.0011695101874054064,
                6.605216026911993e-05
            ],
            [
                1.4738981959696002e-05,
                0.9998766054255973,
                0.9998415637669233,
                0.9994472214729608,
                0.9999339478789658,
                0.9980732652019032,
                0.9980732655399458,
                0.9940889324352827,
                0.9999038975738438,
                3.120190018172716e-05
            ],
            [
                0.00029595709209767883,
                5.8291250991519575e-05,
                0.0007096703372234617,
                0.0006263341357021343,
                0.9998911031039929,
                0.00017952796252943982,
                0.0002034269946233276,
                0.9999756997476879,
                0.00013982207372279193,
                0.0002959571968927862
            ],
            [
                0.9953904280364229,
                0.9995121427731934,
                0.9993736657058073,
                6.60521760632388e-05,
                1.012998977108606e-05,
                0.9993736659073271,
                0.9978172833954273,
                0.9992903294901894,
                0.9998204720562509,
                4.539786317820113e-05
            ],
            [
                3.12019113570763e-05,
                0.679178699175393,
                0.9924227571493742,
                0.9999599363126035,
                0.9999417087067253,
                0.9993736659020077,
                0.00017952800715296746,
                0.00013982205472154886,
                7.484621810808764e-05,
                0.9997694931772062
            ],
            [
                1.3007128462477575e-05,
                0.0001398220224703014,
                0.001926734973610304,
                0.0009110510263422461,
                0.0009110512411306345,
                0.00037998450241470493,
                0.0002034270424512802,
                4.539785771672514e-05,
                1.0129994599624903e-05,
                9.610241479471069e-05
            ],
            [
                0.9995121428431012,
                0.9399133498259924,
                0.9978172831413732,
                3.535626332895835e-05,
                1.1478765385432939e-05,
                5.422220908634683e-06,
                0.997199073140181,
                0.9875683466885158,
                0.9933071503759269,
                0.9992903297281625
            ],
            [
                0.9999599363126306,
                0.9940889305144105,
                0.9998204719704961,
                0.9999485577865359,
                5.144219512778883e-05,
                0.348645142101806,
                0.9996646498969304,
                1.6701419851270353e-05,
                0.970687769566631,
                0.9975273774308525
            ],
            [
                8.481104103127398e-05,
                0.0002959569901097727,
                0.9999038975853325,
                0.00020342697236675942,
                0.0007096704362103551,
                0.00043055704607795767,
                6.962259568889411e-06,
                0.00023050671324039766,
                0.9996646497328031,
                0.00020342699584862276
            ],
            [
                0.9046505261034854,
                0.9999599362982708,
                0.999891103039086,
                0.00010889692186108131,
                0.9999485577925318,
                0.9997694932577313,
                0.9993736659148327,
                0.998830490003932,
                0.9999251537639657,
                0.9999546021151355
            ],
            [
                2.5612815999423112e-06,
                1.0677027427471959e-06,
                1.2098658277335738e-06,
                2.2603245672497918e-06,
                1.994729959160889e-06,
                7.889259762494174e-06,
                6.14417313680765e-06,
                1.3709567165461505e-06,
                1.0129994601872894e-05,
                2.5612822106654943e-06
            ],
            [
                0.9975273767819174,
                0.9940889316636504,
                0.9947798737091657,
                0.9986749777713422,
                6.962257077932685e-06,
                0.9997694932847676,
                0.9975273773418393,
                0.9988304896014026,
                0.9953904269958962,
                1.1478769492392108e-05
            ],
            [
                5.144222581173747e-05,
                0.00020342702004080496,
                0.9992903297279147,
                0.9964063965665445,
                7.484621788428289e-05,
                0.00017952798496657859,
                0.0004878572170143938,
                0.08509904384685758,
                0.00023050670981307884,
                8.481103109648735e-05
            ],
            [
                0.9998601779781543,
                0.9996200155634829,
                0.9998601779096583,
                5.144222590043998e-05,
                0.00029595705726644556,
                0.9990889487223119,
                0.6791787056691698,
                9.610238037737944e-05,
                0.9988304896140496,
                0.00010889696078082307
            ],
            [
                2.5612819053399912e-06,
                0.9971990736591323,
                0.9984988180290911,
                1.0129995807699706e-05,
                1.6701425781108648e-05,
                2.260324836341129e-06,
                0.8670357615200474,
                0.9859363702578179,
                8.481103097369854e-05,
                0.9971990735167133
            ],
            [
                0.00055277864480235,
                0.9980732655466619,
                0.9989677688127107,
                0.9990889486008774,
                4.539786854620345e-05,
                0.00029595702477739033,
                2.1444948403750736e-05,
                0.9820137878665509,
                9.610242628137363e-05,
                2.753568124458694e-05
            ],
            [
                0.0008040859432989131,
                0.9890130556692526,
                5.8291258463737054e-05,
                0.9902915221396187,
                0.9770226285428089,
                0.00029595722468889814,
                0.9914225140160562,
                0.9875683472144773,
                6.605213675431452e-05,
                0.9990889487931486
            ],
            [
                0.9999485577802474,
                0.9999869928653388,
                0.9998415637461353,
                0.9999251537372257,
                0.9999417087555388,
                0.0003353500221280951,
                0.9999724643121979,
                0.9999546021260356,
                0.9875683484722114,
                0.9999756997564082
            ],
            [
                0.0004878572232870752,
                0.0001584362157738386,
                0.9820137935910382,
                0.00012339455925484583,
                0.9999038975738075,
                6.605213671635022e-05,
                0.00043055706040708876,
                0.001325022496394104,
                0.004609572367395441,
                0.0006263341208003789
            ],
            [
                1.3007133113017532e-05,
                8.939698435096828e-06,
                0.9998204720786201,
                7.889262585441413e-06,
                0.9465966668104392,
                0.9959298623331813,
                1.67014178576052e-05,
                0.9999251537371887,
                5.8291272174467664e-05,
                7.88926258381982e-06
            ],
            [
                0.0005527785548238097,
                0.00015843621519293197,
                0.00033535012984204927,
                0.00012339455982578483,
                0.00017952794297595886,
                0.00015843621470884312,
                0.00012339460381322997,
                0.00020342706817064798,
                0.9986749776989393,
                9.610237913984916e-05
            ],
            [
                0.9324533093296393,
                0.997527376892179,
                0.9994472214638601,
                5.8291286165955835e-05,
                4.006371124922888e-05,
                0.9999869928715378,
                0.43782349911420193,
                0.952574130693245,
                0.9947798733440292,
                0.9999485577925582
            ],
            [
                0.9993736656937838,
                5.1442201310013716e-05,
                0.00037998447579474197,
                4.0063692172075196e-05,
                0.9149009474519223,
                0.9046505280315009,
                0.9978172838817305,
                6.605215240858454e-05,
                3.1201907614819715e-05,
                0.0008040859324958915
            ],
            [
                3.288748280891699e-06,
                4.785096205778054e-06,
                1.8925152675028753e-05,
                0.8807970889295663,
                6.962255419475714e-06,
                7.889260703763482e-06,
                0.9626731111833768,
                0.9796676474735838,
                0.9991959138741721,
                0.9706877713155612
            ],
            [
                0.9947798743427134,
                4.0063711254184204e-05,
                0.9996200155176277,
                0.9997965730292966,
                5.422217030495909e-06,
                0.9933071481222264,
                1.6701425823457267e-05,
                0.9990889486168779,
                0.9890130594035196,
                0.9149009474519223
            ],
            [
                3.5356238044435446e-05,
                1.4738985474764149e-05,
                1.892515049423401e-05,
                4.539787397828422e-05,
                1.4738988997044936e-05,
                0.8519528038477825,
                0.00012339461818186697,
                0.999876605425276,
                5.1442201350809364e-05,
                8.481103106933806e-05
            ],
            [
                8.481107148352178e-05,
                0.9626731149315425,
                0.00033535002080118434,
                0.9999038975414428,
                0.9999251537733607,
                0.999088948789493,
                0.0006263342124698633,
                0.9994472213580275,
                0.00012339455977192267,
                0.00023050682043971284
            ],
            [
                0.0009110509909503802,
                0.0002305066828439044,
                0.00026119036925343594,
                5.829125848409385e-05,
                0.00033534998500386437,
                9.610240278297259e-05,
                0.00048785721417607636,
                0.0002611902135821544,
                NaN,
                0.9992903295454205
            ],
            [
                2.4300246493981982e-05,
                4.006368716485947e-05,
                6.144174600471243e-06,
                6.962255419475714e-06,
                7.889263524960312e-06,
                0.00023050676619281544,
                1.300712535865635e-05,
                1.4738987239698005e-05,
                5.42222090767305e-06,
                1.3007130010117919e-05
            ],
            [
                1.4738983703074469e-05,
                6.9622537593854575e-06,
                9.610243742404628e-05,
                6.1441760667392215e-06,
                0.00017952802734900927,
                6.144175333289463e-06,
                7.88926634644516e-06,
                5.422218323231539e-06,
                6.144177530146464e-06,
                0.00013982202314165133
            ],
            [
                0.00010889692179928634,
                0.8807970732843033,
                1.3007126911004571e-05,
                0.9940889302216279,
                5.144220707792017e-05,
                0.9995121428916364,
                7.484621796051808e-05,
                0.0003799845188089771,
                3.535623804983752e-05,
                0.9995694429714828
            ],
            [
                0.9971990724371904,
                0.9996200155649312,
                0.9998911030392049,
                0.998967769034791,
                0.9986749777677991,
                0.9990889486516341,
                0.9947798753075437,
                0.9968273169196724,
                3.535623804803683e-05,
                0.00116951000245946
            ],
            [
                3.5356238040705445e-05,
                0.0010322311888499042,
                0.00029595716501509226,
                0.9988304898316331,
                0.0013250226621503345,
                0.00033535014090614764,
                0.9902915236080654,
                0.3486451217982255,
                0.00020342694435071572,
                7.484625372354849e-05
            ],
            [
                0.00023050682178112986,
                0.00013982202357701158,
                0.00010889696092818032,
                0.9999599362887198,
                2.753568770474574e-05,
                0.0004305571331925688,
                0.0002034270408234722,
                0.0003799845103962723,
                0.00048785709786184484,
                0.0003353499852477818
            ],
            [
                0.9999810748427502,
                0.999968798088666,
                0.9997694933405772,
                0.9999485577925354,
                0.9998766054700301,
                2.1444956074147067e-05,
                0.9999832985801496,
                0.0019267345625863083,
                0.9998766053817157,
                7.48462625995088e-05
            ],
            [
                1.4738985482753428e-05,
                3.120192623110058e-05,
                3.12019113570763e-05,
                4.0063706490068886e-05,
                8.48110609020848e-05,
                6.605216814167028e-05,
                2.1444948403750736e-05,
                0.00037998447311948005,
                0.0007096703631466336,
                0.9999945777823237
            ],
            [
                0.9953904277778937,
                1.4738976692993472e-05,
                0.939913347090917,
                0.9991959139672839,
                1.4738976698006875e-05,
                0.9998601778594514,
                5.8291272369553704e-05,
                4.006367778354606e-05,
                1.8925157250667477e-05,
                4.222835457364773e-06
            ],
            [
                0.9999869928715471,
                0.9999832985841659,
                0.9999810748450104,
                0.9999485577618811,
                0.9999810748495098,
                0.9999687980960733,
                0.9999785550516015,
                0.9999869928730883,
                0.9999957771660541,
                0.9999852610233098
            ],
            [
                0.0001795280291695786,
                0.001700722624308035,
                1.8925143723000643e-05,
                0.9890130548090554,
                0.993307147800269,
                1.670142581762446e-05,
                0.9999151889891112,
                0.9924227574190045,
                5.144221362094481e-05,
                9.610241448987261e-05
            ],
            [
                0.9999910602994343,
                0.9986749774518455,
                0.9999546021368159,
                0.999983298574179,
                0.9998204720127244,
                0.9999869928684411,
                0.9999885212305081,
                0.8807970779778825,
                0.9890130563068105,
                0.999891103039159
            ],
            [
                2.2603234895053587e-06,
                1.209865683500459e-06,
                4.0063687383622725e-05,
                1.300713001414004e-05,
                2.56128282131428e-06,
                1.0677026154619133e-06,
                2.9023116390421582e-06,
                4.222833444429485e-06,
                3.120190019330501e-05,
                3.120190017639228e-05
            ],
            [
                2.7535697639856078e-05,
                1.8925152742706337e-05,
                4.006368737677271e-05,
                6.962255419279419e-06,
                6.1441760667392215e-06,
                5.4222202621161125e-06,
                6.144172404028807e-06,
                0.9984988180964475,
                1.0129987356706945e-05,
                2.144494073796001e-05
            ],
            [
                0.9999646437366552,
                0.999088948902768,
                0.974042644968542,
                0.8519528076067262,
                6.144175334015912e-06,
                0.9999756997505828,
                5.8291265441454815e-05,
                0.9999485577679982,
                0.9995121428324006,
                0.9999756997650798
            ],
            [
                0.9975273772947484,
                0.9998204720525523,
                0.9998415637265896,
                0.9999251537817438,
                0.9999417087554018,
                0.9947798750560591,
                0.9998415637268547,
                0.9975273771913783,
                0.9998911030782942,
                0.999876605455085
            ],
            [
                5.422218969463855e-06,
                1.6701423823533284e-05,
                5.422221554758815e-06,
                8.939697368842181e-06,
                1.1478773596847203e-05,
                0.4073334000459302,
                8.481102080505906e-05,
                1.473898021151881e-05,
                2.1444953515423628e-05,
                7.48462090584253e-05
            ],
            [
                0.7549149923816048,
                1.3007130013572209e-05,
                5.1442225840182154e-05,
                0.00010889690897128673,
                0.0006263341285609507,
                0.0002959570573783877,
                0.0009110512100832718,
                0.00037998455247085296,
                0.00010889692179928634,
                8.481106060467667e-05
            ],
            [
                0.9999921107374156,
                0.9999724643154692,
                0.9999546021476599,
                0.9999646437366874,
                0.9999687980812221,
                0.9933071500013422,
                0.9999898700041997,
                0.9999869928653388,
                0.999981074851773,
                0.9998766054419499
            ],
            [
                0.9959298628390557,
                0.9959298623029798,
                0.9998911030390022,
                0.9999251537998088,
                1.3007123811229494e-05,
                0.00017952790070064034,
                0.0004305571294474543,
                0.9998911031172297,
                0.9999785550567065,
                0.9997040430081853
            ],
            [
                0.00026119033261550297,
                0.00012339460315252047,
                4.006368737181739e-05,
                0.00017952789895320847,
                3.1201900191715896e-05,
                0.0010322308594506327,
                0.880797076413356,
                6.605217571242921e-05,
                0.00010889692159013416,
                0.0002305067926254329
            ],
            [
                0.9999038975981847,
                0.9999687980998132,
                0.9999687980774995,
                0.99997569976797,
                0.9999756997477279,
                0.998967769109218,
                0.9997040427964424,
                0.9999898700053989,
                0.9999885212359829,
                0.9999869928653415
            ],
            [
                9.610237947824727e-05,
                0.00029595705780032346,
                0.0007096704146627483,
                0.000230506792551655,
                0.00037998442537379563,
                0.00017952802779305056,
                0.0007096704277894511,
                0.000552778759478381,
                0.0019267348997334354,
                0.0001233946035385328
            ],
            [
                0.0010322310919748162,
                0.0009110513259015961,
                6.605217605747206e-05,
                0.9998601779763111,
                0.6513548646660543,
                0.00029595702017054076,
                0.0006263340702655775,
                0.00015843621564705344,
                0.0011695103730313308,
                0.00026119033131596225
            ],
            [
                0.9964063978862823,
                0.9914225148318045,
                0.9984988180690513,
                0.998830489886845,
                0.9994472214781704,
                1.4738983727256784e-05,
                0.9997040427959859,
                0.9994472214594544,
                0.9996646498548302,
                0.00015843615894412056
            ],
            [
                4.785093353687772e-06,
                6.9622537584863015e-06,
                1.4738987236641703e-05,
                2.7535694373763664e-05,
                1.0129987355785634e-05,
                6.9622545892184106e-06,
                0.0010322310982170768,
                0.9859363744676424,
                2.4300240711101413e-05,
                8.939695237666677e-06
            ],
            [
                7.889264466115267e-06,
                4.539786321684599e-05,
                0.999664649772747,
                2.7535681236473055e-05,
                2.7535687803514833e-05,
                2.7535697651475977e-05,
                2.7535687809124434e-05,
                2.4300232038197563e-05,
                5.144223812641715e-05,
                7.484621791368789e-05
            ],
            [
                6.605212868425745e-05,
                0.0011695101622473164,
                6.605214458937832e-05,
                7.484622706027895e-05,
                3.1201907609144296e-05,
                0.6224593241981982,
                0.00033534998138413013,
                3.535625061440978e-05,
                0.0003799845987683739,
                0.0002959570561900787
            ],
            [
                0.914900950352329,
                0.9953904276304679,
                3.120190391251851e-05,
                0.00023050682084884506,
                3.1201926224857616e-05,
                0.00013982202249878292,
                1.760343632920248e-06,
                5.8291293247581486e-05,
                0.0010322309290758344,
                0.00043055713240346436
            ],
            [
                3.535624219155282e-05,
                0.9999785550439274,
                4.7850933535659155e-06,
                1.1478765388105516e-05,
                3.535626329667452e-05,
                3.535625487047041e-05,
                0.9940889308756002,
                7.889262585082652e-06,
                2.7535687774465103e-05,
                1.3007133113017532e-05
            ],
            [
                2.902311985146426e-06,
                0.9996646498973206,
                1.89251482270353e-05,
                1.1478764019557924e-05,
                3.12019076363863e-05,
                1.4738978454950406e-05,
                2.753568123767511e-05,
                5.422218969029887e-06,
                8.939699498814873e-06,
                6.9622562489985925e-06
            ],
            [
                1.0129987356706945e-05,
                6.60521602878618e-05,
                3.535625069312567e-05,
                0.00010889687006423939,
                1.300712691308661e-05,
                0.0006263341214926365,
                0.9997040428324447,
                0.00010889692202111441,
                7.484621819303545e-05,
                0.9996646500124399
            ],
            [
                0.0002959570948015127,
                0.9982992776251306,
                0.8519528019683106,
                2.7535704207102113e-05,
                2.1444953517061932e-05,
                0.9986749775296401,
                0.9820137917157754,
                0.9968273169159907,
                0.8354835391516133,
                0.992422759530525
            ],
            [
                1.1478768124324254e-05,
                0.999915188938561,
                0.9241418178895029,
                1.3007134664822509e-05,
                0.00012339455969651565,
                2.1444948406091176e-05,
                3.1201922487820644e-05,
                0.0001398220233166092,
                0.999941708748413,
                3.120192623972722e-05
            ],
            [
                0.0675466911396291,
                0.9986749774259654,
                0.9998766054697518,
                0.9997040429105545,
                0.9995694429774199,
                7.484622714958306e-05,
                0.9999151889794787,
                0.9999417087106283,
                4.006371116615417e-05,
                0.9999417087275871
            ],
            [
                0.9997040428011784,
                3.120190391251851e-05,
                0.9324533069832973,
                0.9998204721017363,
                0.880797071719777,
                4.539787931821248e-05,
                0.9999417087206391,
                0.8807970873650403,
                0.9999151889789851,
                2.430024072091399e-05
            ],
            [
                4.222835458002318e-06,
                1.0129987355785634e-05,
                8.93969630362837e-06,
                0.9988304897761493,
                6.962255419051463e-06,
                2.5612819053399912e-06,
                1.3709570434122812e-06,
                6.962257909501028e-06,
                1.7603440526806268e-06,
                5.422217676866151e-06
            ],
            [
                6.962257908880483e-06,
                5.1442231929965494e-05,
                0.9947798745144001,
                0.5,
                0.9740426444034102,
                NaN,
                5.8291258404363053e-05,
                1.1478768120315386e-05,
                0.00023050671023562498,
                0.0004305571085549768
            ],
            [
                0.9996200154721371,
                0.9984988173970584,
                0.9940889306484886,
                0.9947798741275007,
                0.999664649732686,
                0.9999151889386529,
                0.9995694429123752,
                0.9996646498127008,
                0.9959298624124601,
                0.9991959141116983
            ],
            [
                0.000552778632324982,
                0.000139822139856903,
                0.999860177876636,
                0.00017952804989847249,
                0.9999832985841349,
                7.889263524443698e-06,
                8.481101066480413e-05,
                0.99919591417039,
                0.001032231212498471,
                0.001032230832800988
            ],
            [
                4.006370165453905e-05,
                9.61024487827638e-05,
                0.0006263342006286136,
                4.539785234971499e-05,
                3.120192251336002e-05,
                0.0002611903682502815,
                0.0001088969086131929,
                0.9998766054695848,
                6.605212094194375e-05,
                4.539789020847081e-05
            ],
            [
                0.9998415637460754,
                0.0010322309017059272,
                8.481106122664224e-05,
                0.9999646437366672,
                0.9999832985702125,
                0.9995694429711821,
                0.99996879809608,
                0.9971990729320802,
                0.9999485577680127,
                0.9999038975739529
            ],
            [
                1.6701429803316423e-05,
                5.144221360709674e-05,
                3.5356246473207964e-05,
                0.999373665827426,
                0.9875683519824322,
                0.9995694429709817,
                0.9996646500152498,
                3.535625912717466e-05,
                3.120191880118183e-05,
                4.0063687367153544e-05
            ],
            [
                0.999993037746241,
                0.999841563840362,
                0.9997040428000331,
                0.9999546021152311,
                0.9999938558261322,
                0.9984988176266981,
                0.0003353502561523153,
                0.9997965730060869,
                0.9999810748585392,
                0.999983298570204
            ],
            [
                0.999738809725993,
                0.999981074854025,
                0.999995214906076,
                0.9999810748472596,
                0.9999687980998114,
                0.9465966688819449,
                0.9999038976195891,
                0.999941708734492,
                0.9998911030390306,
                0.9914225165900188
            ],
            [
                0.00010889693488397425,
                0.0001584362515318739,
                2.1444956079218013e-05,
                0.9998911030908624,
                1.4738985484549675e-05,
                0.9324533116759811,
                0.9999417087415261,
                0.999954602120557,
                4.539786857361818e-05,
                7.48462628538078e-05
            ],
            [
                0.9998766053812096,
                0.999860177943122,
                0.7981867705385762,
                6.605212875249706e-05,
                6.605212886014267e-05,
                0.9770226322225538,
                0.9525741301883566,
                2.753568452349975e-05,
                7.484624484541108e-05,
                0.9996200155214747
            ],
            [
                0.000430557065642733,
                0.994088932158918,
                8.481104124846826e-05,
                0.00012339457430752727,
                0.9998204720781786,
                0.0001795279204813612,
                0.0002611902396261571,
                0.00012339458868693327,
                0.0002959572219678412,
                9.610237836796589e-05
            ],
            [
                8.481102093340112e-05,
                0.9964063970267437,
                0.00017952798526434737,
                3.120191505506507e-05,
                0.00010889694777218739,
                NaN,
                0.0006263342109031748,
                0.0001398220559360822,
                2.144494074076854e-05,
                0.00017952798456432952
            ],
            [
                0.9998911031170588,
                0.9999885212359819,
                0.9986749775935703,
                0.9399133456181841,
                0.9988304896702134,
                0.9999852610233032,
                0.9999930377420916,
                0.999903897550844,
                0.9999339478553885,
                0.0010322310194685602
            ],
            [
                6.144174601499446e-06,
                2.4300249412738893e-05,
                3.2887482811579057e-06,
                0.9770226318462163,
                7.889264466115267e-06,
                0.9999485577742104,
                6.962259568775433e-06,
                5.144220092488781e-05,
                3.2887490653408545e-06,
                0.9998415638028936
            ],
            [
                0.0007096703310316215,
                1.892515500450102e-05,
                6.605217610793098e-05,
                0.9984988179444595,
                0.9998601778931084,
                7.4846235949305e-05,
                2.1444958635523312e-05,
                0.9991959139287951,
                0.9997694933126087,
                3.535626751337872e-05
            ],
            [
                0.00015843615916311308,
                2.4300234925658572e-05,
                7.484623593296888e-05,
                2.7535691091443854e-05,
                5.422218322664422e-06,
                7.889261644057078e-06,
                4.5397884803802836e-05,
                1.8925143721072897e-05,
                3.535626332509972e-05,
                2.430024072188641e-05
            ],
            [
                0.0001398220565667444,
                1.0129995807165349e-05,
                1.0129993392342568e-05,
                1.147876949187012e-05,
                1.1478769491306371e-05,
                1.1478766754941153e-05,
                0.9953904275065448,
                7.484621775141582e-05,
                7.889260701467423e-06,
                3.120192623700302e-05
            ],
            [
                5.8291286290217195e-05,
                7.889264466115267e-06,
                0.3486451353339458,
                6.60521760915919e-05,
                3.288750633518874e-06,
                0.00015843627098303131,
                2.144495351862222e-05,
                2.4300243607668818e-05,
                1.0129995807939249e-05,
                1.6701429800582296e-05
            ],
            [
                0.0035936023438172984,
                7.88926352599354e-06,
                3.7266388396975786e-06,
                0.00020342689458717592,
                6.962256249112569e-06,
                4.539786858947248e-05,
                0.7772998508568417,
                1.1478764018827141e-05,
                0.008577485873065348,
                6.962253759043525e-06
            ],
            [
                0.9968273165618042,
                2.7535700923478902e-05,
                0.000123394530228527,
                9.610241432486852e-05,
                0.9999038975622222,
                8.481108169042316e-05,
                1.6701415866735174e-05,
                1.8925148232956223e-05,
                0.9999485577619611,
                0.9999038975740563
            ],
            [
                0.0008040858338657142,
                0.00012339457400410372,
                0.00043055714693300583,
                0.000709670506302,
                0.0002611903391740042,
                4.5397879364784514e-05,
                8.48110512764275e-05,
                0.00010889686982498208,
                0.9525741311981335,
                0.9998601778929741
            ],
            [
                3.535624643217795e-05,
                7.889264464895484e-06,
                1.8925157258585e-05,
                6.144177530001174e-06,
                0.9978172830693658,
                0.9324533097989077,
                0.00013982203982978414,
                4.0063711254184204e-05,
                3.5356263236479996e-05,
                0.9902915229812894
            ],
            [
                0.9525741281688026,
                1.892515726099468e-05,
                0.9994472212651226,
                0.999664649979472,
                0.9975273769042388,
                4.222831934286977e-06,
                3.5356259114569826e-05,
                0.8933094096048376,
                0.9933071493852894,
                0.9971990734594857
            ],
            [
                2.1444945848226808e-05,
                7.484624466571374e-05,
                0.0002959570690462046,
                0.9986749776843048,
                6.962257079173776e-06,
                0.9986749772987212,
                3.1201903879941626e-05,
                0.9770226288773312,
                NaN,
                1.6701419840455358e-05
            ],
            [
                0.0008040857585719407,
                2.753568121974442e-05,
                0.0004878571514208836,
                NaN,
                0.9999869928684397,
                7.48462449913471e-05,
                6.605216029362855e-05,
                7.484623602717382e-05,
                0.00012339458914655723,
                0.0004878570452394564
            ],
            [
                0.00043055716749982307,
                0.00023050682310242563,
                2.753568779580163e-05,
                3.5356242258821454e-05,
                4.539786317192547e-05,
                0.9999417087345085,
                5.422219615188307e-06,
                0.0001584362507619419,
                0.0005527787246510813,
                8.481102038054308e-05
            ],
            [
                3.7266397282926013e-06,
                8.939694172420599e-06,
                1.892514372737249e-05,
                1.4738987238464762e-05,
                0.9992903297003404,
                2.144495863045236e-05,
                1.8925150483734688e-05,
                4.785096205830278e-06,
                0.9997694932580667,
                4.222833443645997e-06
            ],
            [
                2.4300237812059105e-05,
                1.4738987238893715e-05,
                0.9996646497719275,
                0.9982992772402993,
                0.9924227582208921,
                7.484623591663277e-05,
                5.8291244593124e-05,
                0.9968273166074583,
                3.120190764058611e-05,
                3.1201918768604926e-05
            ],
            [
                0.9399133561377042,
                0.9982992773102687,
                5.422221554847581e-06,
                0.9997965730039087,
                0.9706877678177006,
                0.00015843625368722246,
                0.9964063970725968,
                0.9999417087206391,
                0.9997388097224972,
                0.9997040428038823
            ],
            [
                0.9998911031038947,
                0.9996646500152498,
                0.9953904272330594,
                0.9999852610110037,
                0.9996200154705231,
                0.9998766053810586,
                0.9999869928761964,
                0.9999546021206072,
                6.605217605122477e-05,
                0.00023050678811156527
            ],
            [
                0.00010889692178502596,
                9.610246049386444e-05,
                0.6224593312018545,
                0.00013982202196984056,
                7.48462537660224e-05,
                5.829126546520442e-05,
                0.9740426457691453,
                0.9241418231126368,
                9.610243765756909e-05,
                4.5397879417962496e-05
            ],
            [
                7.484620016504614e-05,
                0.00012339457418903047,
                0.0002611904008224037,
                0.00012339460383297942,
                0.00015843629094363735,
                0.00048785721145129177,
                0.00023050665325897188,
                0.9820137884916387,
                0.00029595702190133845,
                0.000430557172159297
            ],
            [
                0.9998204720141585,
                0.9999417087205921,
                0.999972464299095,
                0.9999646437366768,
                0.9999339478555221,
                0.9999977396751636,
                0.9999756997592771,
                0.9999832985821384,
                0.9999339478239084,
                0.9999980052707543
            ],
            [
                3.5356267531385634e-05,
                0.00015843621574156602,
                3.7266379513162962e-06,
                0.00043055712088003534,
                7.484622680489101e-05,
                0.00010889696063980373,
                0.679178699175393,
                0.00012339463258461837,
                0.00015843627268656376,
                0.0001088969599965021
            ],
            [
                5.144223814063949e-05,
                2.902312677007974e-06,
                5.144223199471459e-05,
                4.006369690499937e-05,
                0.0001088968693987555,
                3.1201903920010065e-05,
                0.9998911030787823,
                5.1442232001825764e-05,
                7.484620042805751e-05,
                0.9997388096919465
            ],
            [
                0.9998415638213973,
                0.9999832985821445,
                0.9999938558275967,
                0.9999930377412609,
                0.999995214906079,
                0.9999646437408817,
                0.9999417087206531,
                0.9999970976873238,
                0.9999938558246676,
                0.0005527785938316597
            ],
            [
                0.9999485577742881,
                7.889263523869684e-06,
                8.939698434495167e-06,
                0.9975273769708551,
                5.829124441076104e-05,
                1.4738978452886064e-05,
                2.1444958621558693e-05,
                0.9940889314365388,
                4.006368260129212e-05,
                0.9989677690609606
            ],
            [
                0.9997694933412077,
                0.9994472212605884,
                0.9940889306211256,
                0.9989677691926482,
                0.9998204719701069,
                0.9992903296645516,
                0.9999038975966157,
                0.9999251537728369,
                0.9902915212531783,
                0.9997040429032524
            ],
            [
                8.481104119602078e-05,
                7.484625378235853e-05,
                0.00015843627036985189,
                0.00010889696074913333,
                0.0002959571273594631,
                0.9971990726004195,
                0.00017952805037124592,
                5.8291258539226846e-05,
                0.0006263340562382541,
                2.7535700936100516e-05
            ],
            [
                0.9998766053665733,
                0.9997965730268371,
                0.9999930377429205,
                0.9999339478789859,
                0.9999038976197178,
                0.9999885212346133,
                0.9999151889587182,
                0.9999599363174215,
                0.9999687980886414,
                0.9999910603026323
            ],
            [
                0.9999417087276058,
                0.999975699767969,
                0.9890130573390469,
                0.9999599363030746,
                0.6224593312018545,
                0.9998415638400577,
                0.007577241982206048,
                0.9999885212318825,
                0.9999930377429207,
                0.9998911031173597
            ],
            [
                6.605212880295596e-05,
                0.00010889690879065533,
                0.9859363753328514,
                4.0063692140011286e-05,
                0.00023050667892026206,
                0.0002305066564716633,
                2.4300243622255085e-05,
                0.998299277464043,
                0.8670357718273068,
                0.0003799845577550492
            ],
            [
                0.9991959139627474,
                0.9968273165058413,
                0.999088948675052,
                0.4073334000459302,
                0.9669140253057785,
                0.9984988175965099,
                0.00043055707330831735,
                0.9626731094431571,
                0.000230506821714059,
                0.999925153772901
            ],
            [
                0.9999151889890939,
                0.9993736658303772,
                0.999985261023302,
                0.9999417087556508,
                0.9999339478318843,
                0.9999852610180351,
                0.0004878571136996522,
                0.9995121427693617,
                0.9999898700090248,
                0.9820137874717586
            ],
            [
                0.9997965730997718,
                5.829126545587422e-05,
                1.3007126911974612e-05,
                0.9989677690783668,
                1.670142980608093e-05,
                1.8925157263094544e-05,
                8.939699500489763e-06,
                2.1444943287710254e-05,
                1.4738988998117324e-05,
                0.9626731105140616
            ],
            [
                3.7266392839832006e-06,
                3.7266392835764795e-06,
                2.9023130230133794e-06,
                0.9998911030649195,
                0.999860177892842,
                0.00010889689582797596,
                0.9999599362887481,
                0.9997388096001655,
                0.9998601779425239,
                0.9999251537370873
            ],
            [
                0.9740426438382783,
                0.0001584361781048134,
                0.9990889488446999,
                0.9997965730547851,
                0.0008040860708774649,
                0.9999785550515891,
                0.9998415637839242,
                0.9995694429431,
                5.829126545120912e-05,
                0.00029595715927159674
            ],
            [
                0.8807970811069351,
                0.9994472213569664,
                0.9669140219688265,
                0.9980732656903859,
                0.9990889486935427,
                0.9924227601048025,
                1.7603434230729168e-06,
                0.9994472212624536,
                0.0013250221024920668,
                0.9953904279039534
            ],
            [
                0.9996200155616258,
                1.4738976699427788e-05,
                0.9997694931782188,
                0.9525741301883566,
                0.9991959140049307,
                0.9999339478713826,
                5.144220747202866e-05,
                0.9996646497372716,
                0.9964063979554788,
                0.990291522426145
            ],
            [
                9.61024031647193e-05,
                0.00029595705641396303,
                3.120190020204515e-05,
                0.00010889693492833987,
                0.9992903294649266,
                0.0002611903040484063,
                4.539786857031521e-05,
                0.9975273772396176,
                0.0005527787334302619,
                4.5397868612593344e-05
            ],
            [
                5.144220746828593e-05,
                6.144177531599359e-06,
                0.9953904272586986,
                6.962254589104433e-06,
                9.422442569208767e-07,
                1.6701425825128124e-05,
                1.9947297215043796e-06,
                6.1441746017453204e-06,
                2.2603248367512505e-06,
                4.785096776133645e-06
            ],
            [
                0.9989677692054928,
                0.0002959572272980129,
                0.9999546021315899,
                0.00020342701831828838,
                0.5926665999540698,
                0.06008665564415842,
                4.006368253745581e-05,
                0.00048785721323943166,
                0.0002959569829885314,
                0.9989677689349149
            ],
            [
                0.9999810748562741,
                0.9999810748562796,
                0.9999885212291395,
                0.9999910603005006,
                0.9999485577987147,
                0.9999724643056297,
                0.0003799845546375945,
                0.003172682614215416,
                0.9999810748495105,
                0.9999852610162822
            ],
            [
                0.6513548646660543,
                0.9996646497310566,
                0.9990889487080068,
                0.9999251537999178,
                0.0004878571544578828,
                0.9997040430162106,
                2.4300246501849726e-05,
                0.00012339454495444112,
                1.6701417858577338e-05,
                3.535625910878189e-05
            ],
            [
                7.48462179975466e-05,
                0.9994472214059754,
                1.3007134662432895e-05,
                0.9989677691969698,
                1.3007125360809367e-05,
                0.9940889298604383,
                0.9669140181551665,
                2.902313022952668e-06,
                6.962255419475714e-06,
                6.9622537587775775e-06
            ],
            [
                0.9997965730030326,
                0.9999417087206875,
                0.9991959141040754,
                0.9999869928653372,
                0.9999485577925429,
                0.99997246431548,
                0.9999339478554106,
                0.9998766054400324,
                0.9999785550515954,
                0.9997965730275858
            ],
            [
                0.9999756997476887,
                0.9984988178582574,
                0.999769493367875,
                4.539788485433845e-05,
                0.9993736659021899,
                0.9995694430202444,
                0.9992903294531208,
                0.9980732655999428,
                0.9998911031040801,
                0.9996200154734195
            ],
            [
                7.484623599667974e-05,
                3.5356254847833156e-05,
                0.9993736657493467,
                0.9947798747949022,
                0.9997694932324457,
                0.9997040428372841,
                0.9626731131913228,
                0.9890130565294497,
                0.0003353500197084342,
                0.00015843619719404782
            ],
            [
                5.8291258442956145e-05,
                1.8925141466439755e-05,
                0.9999038975972772,
                1.1478773597640625e-05,
                3.535626333641835e-05,
                5.4222170304318e-06,
                0.0003353500173375568,
                2.14449560556576e-05,
                0.9999485577925665,
                1.0129988563914856e-05
            ]
        ]
    },
    {
        "q_id": "10724_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            25,
            26,
            27,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            46,
            47,
            48,
            49,
            50,
            51,
            53,
            54,
            55,
            56,
            57,
            58,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            75,
            76,
            77,
            78,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            96,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            110,
            111,
            113,
            114,
            115,
            116,
            117,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                3.535624637944346e-05,
                1.1478770846095013e-05,
                0.00012339463213935752,
                NaN,
                NaN,
                5.144220717223673e-05,
                6.605213651259243e-05,
                0.0003799845228329253,
                0.0001233946329706308,
                0.00010889694671216588
            ],
            [
                NaN,
                NaN,
                NaN,
                2.7535697529967915e-05,
                NaN,
                NaN,
                0.0,
                5.8291279168302876e-05,
                5.829127914243277e-05,
                4.5397873685309896e-05
            ],
            [
                0.9996200155712103,
                0.9998766054566812,
                0.9999724642958583,
                0.9998415638048346,
                NaN,
                0.9994472214736362,
                NaN,
                NaN,
                0.7549149923816048,
                0.9902915222291583
            ],
            [
                NaN,
                NaN,
                0.9992903294906433,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9669140181551665,
                NaN
            ],
            [
                0.9997040429486148,
                0.0003353501052161386,
                0.9997388096720431,
                0.9997040427690769,
                0.9996646497362472,
                0.9947798748771183,
                0.0001584362704528386,
                0.9997694932079446,
                0.9989677691979301,
                0.9988304896813646
            ],
            [
                0.9997694932955326,
                0.9978172833989769,
                0.9999417087075578,
                0.999664649793002,
                0.9998911030948536,
                0.9999485577680359,
                0.9999785550516355,
                0.9999151889710292,
                NaN,
                NaN
            ],
            [
                NaN,
                0.999986992866902,
                0.979667645024856,
                NaN,
                0.9999546021423831,
                0.9999646437539931,
                0.006692850153444985,
                NaN,
                NaN,
                0.9984988174539449
            ],
            [
                0.00012339454230442278,
                NaN,
                9.610240213833803e-05,
                NaN,
                NaN,
                NaN,
                5.8291265088603576e-05,
                2.7535690628551343e-05,
                5.422219615395428e-06,
                3.535624221264662e-05
            ],
            [
                5.8291279108504756e-05,
                NaN,
                4.539787934232424e-05,
                4.006371122561817e-05,
                1.473898193878447e-05,
                2.144495349709019e-05,
                NaN,
                NaN,
                NaN,
                5.144220739043735e-05
            ],
            [
                6.14417606210672e-06,
                2.1444955993792006e-05,
                3.12019261530068e-05,
                5.1442200747482866e-05,
                1.4738987175247568e-05,
                NaN,
                0.000108896934156695,
                2.7535697614112e-05,
                7.889265341861317e-06,
                0.00015843628959971378
            ],
            [
                0.9999251537820395,
                0.9999952149032292,
                0.9999930377437518,
                0.9999339478560132,
                0.9999898700126932,
                0.9999869928700209,
                0.9999869928746651,
                0.999964643732509,
                0.9999687980774995,
                0.9999967112517277
            ],
            [
                0.9999952149032333,
                0.9999832985721915,
                0.9999957771665614,
                0.9999485578053838,
                0.9999151889294204,
                0.9999957771655504,
                NaN,
                0.9999952149037985,
                NaN,
                0.9998415638028936
            ],
            [
                3.120191132631554e-05,
                NaN,
                NaN,
                1.300712370599198e-05,
                NaN,
                NaN,
                2.4300252214098755e-05,
                1.892514822538295e-05,
                2.144495095654446e-05,
                9.610246030369014e-05
            ],
            [
                3.120191877428034e-05,
                0.00170072205052018,
                0.9999646437493511,
                5.144223165786957e-05,
                0.9991959141435461,
                0.9999546021368687,
                0.9998601778610667,
                6.605214451729418e-05,
                NaN,
                0.00012339460335001514
            ],
            [
                4.0063701635592195e-05,
                4.53978685389369e-05,
                1.6701421824277888e-05,
                4.539785751524343e-05,
                4.006368736948546e-05,
                4.006371126336615e-05,
                NaN,
                NaN,
                4.539789007337887e-05,
                NaN
            ],
            [
                0.9999885212291545,
                0.9998204719520475,
                NaN,
                0.999993855823216,
                0.9999756997535513,
                NaN,
                0.9998766053680097,
                0.9984988176462419,
                NaN,
                0.9999938558268736
            ],
            [
                NaN,
                3.5356237959931644e-05,
                1.892514144530343e-05,
                NaN,
                3.120190012417845e-05,
                5.144222564518634e-05,
                5.829128615365693e-05,
                1.3007128454504315e-05,
                1.8925154983708924e-05,
                4.5397863008758294e-05
            ],
            [
                0.9999945777791219,
                0.9999251537467829,
                0.9999785550491128,
                0.9999962733620515,
                0.9999910603047849,
                0.9999990577556314,
                0.9999970976869826,
                NaN,
                0.9999938558246886,
                0.9999785550492543
            ],
            [
                5.144223799018203e-05,
                5.144220102743835e-05,
                NaN,
                7.484622567878804e-05,
                4.5397873863670816e-05,
                2.1444945839255133e-05,
                0.0001795279176238266,
                0.00013982202184574256,
                6.605217501753787e-05,
                0.00013982202314165133
            ],
            [
                4.0063682407742773e-05,
                NaN,
                5.8291264840080945e-05,
                NaN,
                3.120190382227939e-05,
                NaN,
                NaN,
                0.00015843621337644612,
                NaN,
                6.605212851269727e-05
            ],
            [
                0.0,
                0.9999910603005207,
                3.120190383294918e-05,
                0.9999898700102499,
                0.9999921107365107,
                0.9998204719755869,
                0.9999952149043646,
                NaN,
                0.9991959141162814,
                NaN
            ],
            [
                NaN,
                0.9999952149049787,
                0.9999986290426305,
                0.9999885212264098,
                0.9999852610198521,
                0.9997040428444397,
                NaN,
                0.9999756997651412,
                0.9999898700066329,
                NaN
            ],
            [
                5.144223781539688e-05,
                NaN,
                NaN,
                5.144220124077339e-05,
                1.8925154952796165e-05,
                NaN,
                3.5356258747614756e-05,
                NaN,
                3.535625487510076e-05,
                NaN
            ],
            [
                0.9999687980924505,
                0.999915188959698,
                0.9933071483358327,
                0.9999599362888304,
                3.120191133221797e-05,
                0.9995694429764679,
                0.9999898700090398,
                NaN,
                NaN,
                0.9999921107383851
            ],
            [
                NaN,
                0.9999546021099609,
                NaN,
                NaN,
                NaN,
                0.9998766053997579,
                0.9993736658078606,
                0.9999646437621559,
                0.9999785550517414,
                0.9959298623596076
            ],
            [
                0.9999921107346076,
                NaN,
                0.9999945777816824,
                0.9999756997681023,
                NaN,
                0.9999962733593892,
                0.9999921107393009,
                0.9999599362983915,
                0.9999885212278145,
                0.9999930377445874
            ],
            [
                NaN,
                NaN,
                NaN,
                8.481104119602078e-05,
                0.9999810748540298,
                0.00012339454497239518,
                NaN,
                NaN,
                5.829125142113282e-05,
                1.6701419835108622e-05
            ],
            [
                0.999975699756419,
                0.999992110733691,
                0.9999945777784512,
                0.9999038976200798,
                0.9999938558224905,
                0.9975273771770212,
                NaN,
                NaN,
                0.9998415638078588,
                0.9998766054719762
            ],
            [
                3.12019038974219e-05,
                3.53562633231704e-05,
                1.4738987235622935e-05,
                1.4738988998117324e-05,
                4.5397868592445174e-05,
                1.4738980194280203e-05,
                4.539785223741372e-05,
                2.430023489604404e-05,
                NaN,
                3.5356267317875096e-05
            ],
            [
                3.5356263314938686e-05,
                0.9999251537826254,
                NaN,
                NaN,
                0.9959298617763418,
                0.0758581727088564,
                2.43002523073625e-05,
                1.3007131561047124e-05,
                0.9975273767669861,
                NaN
            ],
            [
                0.9999869928684518,
                NaN,
                0.9986749775601417,
                1.300713153227714e-05,
                0.9999599362985825,
                NaN,
                0.998498817388857,
                0.9999974387180951,
                0.9990889489859495,
                NaN
            ],
            [
                0.9999938558239355,
                NaN,
                2.753568769172345e-05,
                0.9999151889194516,
                NaN,
                0.00037998446869755943,
                0.9999687980853265,
                0.9999910602994527,
                0.9995121429092055,
                0.9999599363033179
            ],
            [
                0.9998911030534369,
                0.9998601778936476,
                0.999941708722364,
                0.9999724643187988,
                0.999968798084987,
                0.9999724643058558,
                0.9998766054261916,
                0.9999646437452951,
                0.9999885212277833,
                9.61024015090852e-05
            ],
            [
                0.9997040427675268,
                0.999088948765545,
                NaN,
                NaN,
                NaN,
                0.9999599362888137,
                0.9999339478793262,
                NaN,
                NaN,
                0.9999038975401187
            ],
            [
                5.82912653044705e-05,
                NaN,
                0.00012339454499214465,
                7.484624486174719e-05,
                0.9993736656985932,
                5.1442219704738336e-05,
                NaN,
                0.999569442863889,
                NaN,
                3.535625486069523e-05
            ],
            [
                NaN,
                0.9999869928684584,
                0.9999970976890534,
                0.9999957771650506,
                NaN,
                0.9998911031189727,
                0.9999898700054205,
                0.9999921107364952,
                0.9998911031303382,
                NaN
            ],
            [
                NaN,
                0.9993736659399726,
                0.9993736657482536,
                0.9999546021098021,
                1.0,
                NaN,
                NaN,
                0.40733340004593027,
                0.9975273765768998,
                0.9999485577938974
            ],
            [
                NaN,
                0.003593602061195051,
                0.9999898700042035,
                0.9998415637127146,
                NaN,
                0.9978172832798098,
                0.9999930377420965,
                NaN,
                0.9999810748495931,
                0.9998204720788291
            ],
            [
                0.9998204720144431,
                1.3007134659451795e-05,
                0.8519527944504227,
                0.9991959140611439,
                NaN,
                NaN,
                0.9997040429814054,
                0.9998204720360025,
                0.8670357598021707,
                0.9996200155012334
            ],
            [
                NaN,
                NaN,
                1.3007133108001712e-05,
                NaN,
                NaN,
                NaN,
                2.7535684505068197e-05,
                6.605215213033978e-05,
                5.144219515398787e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                4.0063696893922756e-05,
                0.00023050665558632872,
                9.610244833109987e-05,
                NaN,
                5.829125137787462e-05,
                NaN,
                NaN
            ],
            [
                0.9999599362984783,
                NaN,
                0.9999910603069626,
                0.9999930377429296,
                0.9999921107393182,
                0.9999151889805302,
                NaN,
                0.9999687980962552,
                0.9986749778107786,
                0.9999756997680656
            ],
            [
                NaN,
                NaN,
                0.9998766053815757,
                0.9999038975873867,
                NaN,
                0.9986749775610659,
                NaN,
                0.9999785550593877,
                0.9996646497484724,
                0.9999251537643148
            ],
            [
                0.9999852610233229,
                NaN,
                NaN,
                0.9999938558254059,
                0.9998415637318707,
                NaN,
                NaN,
                0.9999938558232034,
                0.9999599362937629,
                0.9999687980889085
            ],
            [
                0.999373665835296,
                NaN,
                NaN,
                0.9999687980812475,
                0.9999810748588445,
                0.9999151889705306,
                0.9914225144674897,
                0.2227001439842336,
                0.9998601778800883,
                NaN
            ],
            [
                NaN,
                0.0,
                NaN,
                0.999983298574291,
                0.9994472213120092,
                NaN,
                0.9999756997506258,
                0.9999687980852503,
                0.999948557786784,
                NaN
            ],
            [
                0.992422757517052,
                0.00013982203737630504,
                5.144223150666358e-05,
                9.610240327239146e-05,
                0.0002305068162276635,
                0.00010889694766127333,
                NaN,
                0.9989677691982903,
                0.00012339452937391415,
                8.481103082684562e-05
            ],
            [
                0.9998601779452133,
                0.9999898700054735,
                0.9999546021152166,
                0.999995777168069,
                NaN,
                NaN,
                0.9999724643023616,
                NaN,
                0.9999417087485046,
                0.9998601778953911
            ],
            [
                NaN,
                NaN,
                5.829125113740995e-05,
                NaN,
                5.144221362431326e-05,
                NaN,
                6.60521285376864e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                7.484624397524041e-05,
                2.7535694266379802e-05,
                0.0001398221383209345,
                3.120190390775116e-05,
                0.00010889693488397425,
                0.00015843619404055503,
                NaN,
                5.829124452017881e-05,
                5.144220746454321e-05,
                0.00020342694543986674
            ],
            [
                4.5397884800499855e-05,
                1.6701419833468143e-05,
                2.1444950955608285e-05,
                NaN,
                1.8925154972624393e-05,
                1.67014238214675e-05,
                NaN,
                2.430024360395595e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9399133433038895,
                0.9998204720596361,
                0.9996200154054324,
                0.9999910603005171,
                0.9999910603026364,
                0.9999687980776499,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.9999785550516599,
                0.9999151889491074,
                NaN,
                0.9996200155706243,
                0.9999852610129536,
                NaN,
                0.9999724643024115,
                0.9999599363082197
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.0001233946119948965,
                NaN,
                NaN,
                4.00637015469792e-05,
                NaN,
                4.539786309298427e-05
            ],
            [
                0.0002034268981387544,
                0.9995121429452521,
                0.5926665999540698,
                0.9914225161227457,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999785550543817
            ],
            [
                5.829129321322935e-05,
                2.7535694255961964e-05,
                2.7535697407758655e-05,
                NaN,
                5.8291279072880346e-05,
                NaN,
                1.30071253611406e-05,
                6.605214448461604e-05,
                1.670141785651155e-05,
                NaN
            ],
            [
                5.144222572191214e-05,
                0.9999885212264089,
                0.9999869928715477,
                0.00033535010136224227,
                0.9999038975396558,
                0.0001795280264661507,
                0.999915188959144,
                0.9997388097053752,
                0.00010889688251988026,
                NaN
            ],
            [
                4.539788996966526e-05,
                1.0129989761357048e-05,
                1.6701427807280505e-05,
                NaN,
                NaN,
                NaN,
                9.610244900370157e-05,
                0.00013982210700345504,
                3.535625480152969e-05,
                NaN
            ],
            [
                7.48462539462643e-05,
                NaN,
                4.2228324372555256e-06,
                5.144221320176005e-05,
                NaN,
                5.829125803497194e-05,
                0.9859363749067036,
                2.7535700932494338e-05,
                4.5397851873755794e-05,
                2.1444945844014022e-05
            ],
            [
                3.120192245603829e-05,
                NaN,
                1.0129992181043471e-05,
                0.9964063970409165,
                0.9995121428995837,
                3.120192244150922e-05,
                3.120190758848578e-05,
                1.0,
                1.1478764009139048e-05,
                9.610240220965334e-05
            ],
            [
                NaN,
                0.00013982213713081316,
                6.605217581334702e-05,
                2.1444948291877813e-05,
                1.8925148227861472e-05,
                9.610238003478632e-05,
                1.8925143700143116e-05,
                3.5356267511063545e-05,
                3.120190744614633e-05,
                NaN
            ],
            [
                0.00013982213967787623,
                NaN,
                0.00013982210557937858,
                NaN,
                NaN,
                NaN,
                8.481108152444222e-05,
                0.00013982210453980274,
                7.484620846814709e-05,
                0.00026119023612271796
            ],
            [
                0.0028009264956426177,
                0.9998204720684176,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0019267343123004971,
                0.9993736657738672,
                0.9999724643057415
            ],
            [
                0.999972464296047,
                NaN,
                0.9999869928684806,
                NaN,
                0.9999546021211985,
                NaN,
                0.9999038976106858,
                0.9988304894837715,
                NaN,
                0.9999724642958537
            ],
            [
                0.999903897586812,
                0.9947798735664964,
                0.98756835162798,
                0.9399133443558416,
                0.9998911031085373,
                0.999290329587814,
                0.9998601779112614,
                NaN,
                0.989013057308687,
                1.0129990964843162e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9875683469972323,
                NaN,
                0.9241418278134569,
                NaN,
                NaN,
                0.9933071501158846,
                NaN
            ],
            [
                0.9994472214901976,
                NaN,
                0.00012339458540134028,
                NaN,
                NaN,
                NaN,
                0.00015843625046226776,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9999038975987272,
                NaN,
                0.999447221374589,
                0.9997388097623193,
                NaN,
                0.9933071491871619,
                0.9964063979288006,
                0.9992903294606336,
                0.9998204721007804,
                0.9992903296572039
            ],
            [
                0.9999485577864872,
                0.999959936322592,
                0.9984988174768041,
                NaN,
                0.9999898700114542,
                NaN,
                0.9999485577872601,
                0.9999810748450053,
                NaN,
                0.9999038975638862
            ],
            [
                0.9995121427863632,
                0.9999599363223856,
                0.9999485577928876,
                0.0,
                0.9980732652148877,
                NaN,
                0.9980732655166634,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9999485577619753,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999339478404402,
                NaN,
                NaN,
                NaN,
                0.9999417087210085
            ],
            [
                0.9999724643090209,
                0.9999810748542033,
                0.9999599363081858,
                0.9997694932110702,
                0.9999785550465261,
                0.9999151889900806,
                0.9999546021261055,
                0.9999832985704696,
                0.9999921107355412,
                NaN
            ],
            [
                3.535625906762324e-05,
                2.7535681231364308e-05,
                NaN,
                3.5356267428231745e-05,
                5.8291292893457766e-05,
                NaN,
                1.3007125337457424e-05,
                7.889263515402963e-06,
                2.144494071471167e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                0.0002305067687079718,
                NaN,
                NaN,
                NaN,
                2.7535697610305477e-05,
                NaN,
                0.0,
                NaN
            ],
            [
                0.9999910603026411,
                NaN,
                NaN,
                0.9999885212279837,
                0.99998987000661,
                NaN,
                0.9988304896938756,
                0.999841563828246,
                NaN,
                0.9840936069178209
            ],
            [
                0.999903897596715,
                NaN,
                0.9999756997506213,
                0.9999417087361031,
                0.999704042919174,
                0.9999599363031209,
                0.9579122713334306,
                0.9999810748472882,
                0.99998107484279,
                0.9996200154407857
            ],
            [
                NaN,
                0.9999869928669071,
                0.9998415637607917,
                0.9998415638214249,
                0.9997388096035398,
                0.9947798732303775,
                0.9999687980816488,
                0.9998911030674452,
                NaN,
                0.9999921107364782
            ],
            [
                0.999991060304775,
                NaN,
                0.9999945777803917,
                NaN,
                0.999992110740243,
                0.9997694932604813,
                0.9999646437325401,
                0.9999910603037162,
                0.9999251537555304,
                0.9999898700126532
            ],
            [
                0.9999151889697766,
                0.9989677691189416,
                NaN,
                0.9999038975868721,
                0.9978172840678339,
                NaN,
                0.9995694430065039,
                0.9999810748585536,
                0.9989677691343071,
                NaN
            ],
            [
                0.9999339478637205,
                0.9999339478476698,
                NaN,
                NaN,
                0.9999687980924301,
                NaN,
                0.9999724643123632,
                NaN,
                0.9999962733598332,
                0.9999151889702665
            ],
            [
                2.753569104786925e-05,
                NaN,
                NaN,
                NaN,
                6.605217563169493e-05,
                NaN,
                0.9999151889597276,
                5.1442219434139573e-05,
                0.00013982201818790266,
                NaN
            ],
            [
                0.9999038975515249,
                0.9999921107336813,
                0.999983298572237,
                0.9999885212334868,
                0.9999646437593515,
                0.9999938558224711,
                0.9999485577987937,
                NaN,
                0.9999885212334029,
                0.9999921107336687
            ],
            [
                NaN,
                0.9998601779298089,
                NaN,
                0.9998204720188626,
                0.9999921107355647,
                0.9998911030402474,
                0.9999339478401038,
                0.9999339478485723,
                0.9999852610233657,
                0.9990889487229476
            ],
            [
                0.9971990735622354,
                0.9991959140580104,
                NaN,
                0.9982992774171991,
                0.9995694429043462,
                0.0015011822548175106,
                0.0011695103028606481,
                0.9998204719960703,
                0.9996646497754399,
                0.9998415637841962
            ],
            [
                NaN,
                0.9999251537939006,
                0.9999977396754354,
                0.9999898700090922,
                0.9998204719460346,
                0.0,
                0.9999810748566815,
                NaN,
                NaN,
                0.9986749775889487
            ],
            [
                4.5397879417962496e-05,
                NaN,
                NaN,
                4.006369692540368e-05,
                0.9999938558232107,
                0.9902915227753487,
                4.222833440942194e-06,
                0.9999599362937484,
                0.9998911031171807,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                3.1201907574637766e-05,
                7.484625393265086e-05,
                7.484625393265086e-05,
                NaN,
                3.535625488178903e-05,
                5.8291265213288994e-05,
                NaN
            ],
            [
                2.430024929649073e-05,
                2.7535694255961964e-05,
                5.1442219478303695e-05,
                5.1442194727692094e-05,
                4.006367773545022e-05,
                1.4738988996240646e-05,
                5.829127881672385e-05,
                4.539787397134796e-05,
                1.3007133074026627e-05,
                6.962253744910303e-06
            ],
            [
                NaN,
                0.999981074856302,
                0.9999687980812015,
                0.9999251537464834,
                0.9993736658043993,
                NaN,
                0.9999785550568224,
                0.00010889693388099437,
                0.9999945777829718,
                0.9999546021152963
            ],
            [
                7.484623587361431e-05,
                0.9706877664397555,
                NaN,
                NaN,
                8.48110814948248e-05,
                0.9999546021152134,
                3.1201907569870414e-05,
                0.9999810748585477,
                NaN,
                0.9997040427723404
            ],
            [
                0.9998415638456639,
                0.9999930377404467,
                0.999954602126209,
                NaN,
                0.9999930377463078,
                0.9999869928684553,
                0.999992110733661,
                NaN,
                0.999994577781691,
                0.9997040429582504
            ],
            [
                0.9997388097989724,
                0.9999885212346309,
                0.9998766053840517,
                0.9995694428821511,
                NaN,
                0.999986992865338,
                0.999968798077889,
                0.9999974387168737,
                0.9999885212318881,
                0.999996273359838
            ],
            [
                NaN,
                0.9984988178828617,
                NaN,
                NaN,
                NaN,
                0.9999885212264145,
                2.1444958587934382e-05,
                NaN,
                NaN,
                0.0019267348652575644
            ],
            [
                NaN,
                6.605215230190002e-05,
                NaN,
                NaN,
                3.120190375826071e-05,
                1.4738981908757653e-05,
                0.00010889694703857012,
                4.5397879028210795e-05,
                2.144495863482118e-05,
                NaN
            ],
            [
                6.605215232304469e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                7.889260695698573e-06,
                6.605215241483182e-05,
                NaN,
                0.00023050674170525505,
                0.00017952802882479358
            ],
            [
                0.9998766054410774,
                0.9999546021315998,
                0.9999724642958389,
                0.9999852610127759,
                0.9999417087346039,
                NaN,
                NaN,
                NaN,
                0.9465966662454831,
                0.9998601779330558
            ],
            [
                0.9998911030811035,
                NaN,
                0.9999251537399784,
                0.9999417087081812,
                0.9999785550567651,
                0.9999952149066521,
                0.9999785550465785,
                0.9999546021262354,
                0.9999251537475148,
                NaN
            ],
            [
                NaN,
                NaN,
                0.9994472213649094,
                0.9997694933492763,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9997388096316737,
                0.9999852610145474,
                0.9999417087364458,
                0.9992903295261433,
                0.9999724643023973,
                0.9999599363131424,
                NaN,
                0.9999687980888458,
                0.9999832985802279,
                0.999972464302351
            ],
            [
                NaN,
                NaN,
                0.9999038975747261,
                0.9999885212306012,
                0.9999930377429223,
                0.9984988180577088,
                0.9999869928669056,
                0.9999957771680751,
                0.9996200153951735,
                NaN
            ],
            [
                0.9975273769582209,
                0.00037998446184358273,
                NaN,
                0.9933071487351834,
                0.9993736658032698,
                0.9740426456278624,
                NaN,
                2.753569101761746e-05,
                0.0006263340290580386,
                0.9740426427080144
            ],
            [
                0.00020342696846594092,
                0.9740426414364678,
                0.0001398221225299582,
                NaN,
                3.535624645944555e-05,
                NaN,
                2.4300237751238806e-05,
                0.00023050668177077143,
                3.5356267389645505e-05,
                3.535625482879728e-05
            ],
            [
                1.3007133107008012e-05,
                5.82912861095505e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                5.1442201113895184e-05,
                7.889260704531226e-06,
                2.430023196022737e-05,
                1.0129995790176422e-05
            ],
            [
                1.8925152709315055e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.8925145957048516e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.9998601779620377,
                3.53562377520806e-05,
                NaN,
                2.144495090661511e-05,
                5.144220733279945e-05,
                NaN
            ],
            [
                NaN,
                0.9998911030525035,
                0.9999885212281242,
                0.9999869928653599,
                0.9999898700078189,
                0.999998446502246,
                0.9999546021439255,
                0.9999938558246745,
                NaN,
                0.9986749778066193
            ],
            [
                0.9994472213339732,
                0.9988304898559752,
                NaN,
                0.9997388097063554,
                0.999876605475233,
                NaN,
                0.9999724643122326,
                NaN,
                0.9999646437409403,
                0.9999038975742955
            ],
            [
                0.9978172830506032,
                0.9999687980813333,
                0.9999417087487099,
                NaN,
                0.9997388096350099,
                0.9992903295320048,
                0.9998766053971976,
                NaN,
                0.9988304897024429,
                0.9999687981000027
            ],
            [
                NaN,
                4.53978682129328e-05,
                0.0002611904270488167,
                0.00037998447329635684,
                6.605215165362335e-05,
                1.0,
                NaN,
                NaN,
                4.539786843885661e-05,
                NaN
            ],
            [
                NaN,
                0.9999921107355451,
                0.9999546021377999,
                NaN,
                0.9999251537733498,
                NaN,
                0.9914225143566113,
                NaN,
                0.9999885212346659,
                0.9999869928747097
            ]
        ]
    },
    {
        "q_id": "10441_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999989322973845,
                0.9999982396572065,
                0.9999991684716749,
                0.9999994284995529,
                0.9999989322975118,
                0.9999986290429566,
                0.9999991684720715,
                0.9999992661787571,
                0.9999967112505427,
                0.9999990577551814
            ],
            [
                0.9999982396561571,
                0.9999996072136592,
                0.999999352404893,
                0.999998446502801,
                0.9999977396746245,
                0.9999986290423029,
                0.9999989322970027,
                0.99999893229713,
                0.9999984465026158,
                0.9999991684715759
            ],
            [
                0.9999989322970027,
                0.9999994284994849,
                0.9999993524048929,
                0.9999990577556307,
                0.9999970976890528,
                0.9999977396751633,
                0.9999980052707541,
                0.9999989322975118,
                0.9999982396563669,
                0.99999862904312
            ],
            [
                0.9999952149037942,
                0.9999982396561571,
                0.999991060299434,
                0.9999962733616045,
                0.9999974387180947,
                0.9999970976883609,
                0.9999832985741748,
                0.9999952149066462,
                0.9999957771660521,
                0.9999967112521109
            ],
            [
                0.9999989322970027,
                0.999999057755743,
                0.9999970976880149,
                0.9999982396569966,
                0.999999168471675,
                0.9999986290423029,
                0.999999168471675,
                0.9999991684716749,
                0.999998790134605,
                0.9999986290421395
            ],
            [
                0.9999984465020603,
                0.9999977396748938,
                0.9999967112497586,
                0.999993037740431,
                0.9999994284993486,
                0.9999994956527722,
                0.9999994956525318,
                0.9999987901337396,
                0.9999992661788445,
                0.9999991684721706
            ],
            [
                0.9999980052695652,
                0.9999986290421394,
                0.9999974387187053,
                0.9999984465022455,
                0.99999862904312,
                0.9999994284994849,
                0.9999987901344607,
                0.9999986290427931,
                0.9999977396748939,
                0.999998790134605
            ],
            [
                0.999998790134605,
                0.9999984465026158,
                0.9999986290432834,
                0.9999977396757022,
                0.9999994284994167,
                0.9999993524049702,
                0.9999990577551815,
                0.999999352405279,
                0.9999989322975118,
                0.9999987901343165
            ],
            [
                0.9999992661789321,
                0.9999970976890528,
                0.9999990577549568,
                0.9999986290424663,
                0.9999980052702785,
                0.9999980052707541,
                0.9999984465026158,
                0.9999982396572064,
                0.9999995549149481,
                0.9999991684718732
            ],
            [
                0.9999984465018751,
                0.9999987901343165,
                0.9999991684715759,
                0.9999982396569965,
                0.9999989322972572,
                0.9999990577554061,
                0.999999554914895,
                0.9999970976876689,
                0.9999980052702786,
                0.9999974387168733
            ],
            [
                0.9999989322966208,
                0.9999992661790196,
                0.9999992661792819,
                0.999999057755069,
                0.999998446502801,
                0.99999862904312,
                0.9999984465015046,
                0.9999982396567868,
                0.9999982396561571,
                0.9999977396754327
            ],
            [
                0.9999987901344607,
                0.9999945777803839,
                0.9999984465024306,
                0.9999970976890529,
                0.9999974387187052,
                0.9999967112521109,
                0.9999967112509347,
                0.9999974387168733,
                0.9999967112493665,
                0.9999987901347492
            ],
            [
                0.9999832985841314,
                0.9999952149032237,
                0.9999977396754327,
                0.9999952149072167,
                0.9999921107345934,
                0.9999898700041912,
                0.9999957771655489,
                0.9999785550515917,
                0.9999945777829695,
                0.9999910603004992
            ],
            [
                6.962259569484628e-06,
                4.222831934352267e-06,
                4.785096206013061e-06,
                6.962257079465052e-06,
                4.785094494716039e-06,
                7.889260704423598e-06,
                5.422218969661113e-06,
                7.889259764273619e-06,
                6.9622595694023114e-06,
                6.144176799166453e-06
            ],
            [
                0.9999984465016898,
                0.9999982396572064,
                0.9999993524052789,
                0.9999996072138934,
                0.999999266179107,
                0.9999984465020603,
                0.9999984465015046,
                0.9999980052693274,
                0.9999986290423029,
                0.9999980052705163
            ],
            [
                0.9999989322968753,
                0.9999990577552937,
                0.999999495652652,
                0.9999977396759716,
                0.9999987901343165,
                0.9999992661789321,
                0.9999989322973846,
                0.9999982396572064,
                0.999997097688707,
                0.999996273358939
            ],
            [
                1.9947294837154625e-06,
                8.315280276607289e-07,
                1.5534981249574276e-06,
                6.1441731370702875e-06,
                6.962253759670401e-06,
                3.4663266243308805e-07,
                1.0677033791583005e-06,
                1.9947290081286418e-06,
                1.7603425837494853e-06,
                2.561281905376098e-06
            ],
            [
                0.9999785550413627,
                0.9999599363173711,
                0.9999910602994333,
                0.9999852610215422,
                0.9999687980737526,
                0.9999756997534747,
                0.9999724643089016,
                0.9999251537995338,
                0.9999938558246657,
                0.9999646437450763
            ],
            [
                0.9999938558246657,
                0.9999957771675623,
                0.9999970976873229,
                0.9999974387168732,
                0.9999885212305071,
                0.9999930377429203,
                0.99999893229713,
                0.9999910603004992,
                0.9999962733611601,
                0.9999952149043646
            ],
            [
                0.999999554914895,
                0.9999994956525918,
                0.9999991684717741,
                0.9999977396757023,
                0.9999987901343165,
                0.9999991684722697,
                0.9999984465022455,
                0.9999996072137529,
                0.9999989322973845,
                0.9999986290429566
            ],
            [
                0.9999987901341723,
                0.9999980052705163,
                0.999997438716568,
                0.9999982396574162,
                0.9999974387177893,
                0.9999957771675623,
                0.999996273358939,
                0.999998790134028,
                0.9999898700102295,
                0.9999980052693274
            ],
            [
                0.9999994956527121,
                0.9999977396754327,
                0.9999990577552937,
                0.9999980052709919,
                0.9999977396762411,
                0.9999970976869769,
                0.99999893229713,
                0.9999990577552937,
                0.9999989322973846,
                0.9999993524049702
            ],
            [
                0.99999862904312,
                0.9999977396759716,
                0.9999984465015046,
                0.9999986290423029,
                0.9999982396569965,
                0.9999980052700408,
                0.999998790134028,
                0.9999962733593832,
                0.9999986290424663,
                0.9999982396572065
            ],
            [
                0.999996273360716,
                0.9999984465026158,
                0.9999987901347491,
                0.9999962733593831,
                0.9999991684719723,
                0.9999982396559473,
                0.9999987901344607,
                0.9999980052709919,
                0.9999984465022455,
                0.9999982396565769
            ],
            [
                0.999999057755743,
                0.999998005269803,
                0.9999980052705163,
                0.999999266179107,
                0.9999991684715759,
                0.9999987901343165,
                0.9999989322970027,
                0.9999994284994167,
                0.9999994284992805,
                0.999998239656367
            ],
            [
                0.9999987901346049,
                0.99999893229713,
                0.9999962733616045,
                0.9999993524052018,
                0.9999989322971299,
                0.9999970976866309,
                0.9999989322975118,
                0.9999982396574163,
                0.9999986290427932,
                0.9999982396567868
            ],
            [
                0.9999952149060757,
                0.9999967112509347,
                0.9999938558232012,
                0.999993855823201,
                0.9999984465024306,
                0.9999952149066462,
                0.9999974387168733,
                0.9999974387168733,
                0.9999986290421394,
                0.9999977396757022
            ],
            [
                0.9997040427601902,
                0.9999898700090206,
                0.9999945777823229,
                0.9999945777829694,
                0.9999810748427365,
                0.9999687980737552,
                0.9999957771675623,
                0.9999546021422182,
                0.9999885212332428,
                0.9999599363126097
            ],
            [
                0.999999057755069,
                0.9999992661790196,
                0.9999990577551814,
                0.9999987901344607,
                0.9999986290429566,
                0.9999992661789321,
                0.999998790134028,
                0.9999990577549569,
                0.9999993524050474,
                0.999998790134028
            ],
            [
                0.9999967112505425,
                0.9999980052707541,
                0.9999832985741741,
                0.999995777164542,
                0.9999982396574162,
                0.9999980052707541,
                0.9999970976869769,
                0.9999977396765104,
                0.9999974387174839,
                0.9999982396561571
            ],
            [
                0.9999885212305062,
                0.9999910603015651,
                0.9999251537638819,
                0.9999930377437506,
                0.9999852610145151,
                0.9999832985801492,
                0.9999832985701931,
                0.9999930377404305,
                0.9999724643056253,
                0.9999810748449955
            ],
            [
                2.144495352474637e-05,
                4.78509392429544e-06,
                2.753569109925723e-05,
                6.144177531660828e-06,
                7.889263526180094e-06,
                2.4300243626409964e-05,
                4.5397879448184774e-05,
                1.3007131564383116e-05,
                6.144176066795103e-06,
                1.6701429808632785e-05
            ],
            [
                0.9999546021421944,
                0.9998204719487146,
                0.9999687980849105,
                0.9999869928746377,
                0.9999151889284097,
                0.9999687980774823,
                0.9999724643154754,
                0.9998601779593687,
                0.9999417087483837,
                0.9999724643023409
            ],
            [
                0.9999967112513266,
                0.999991060300499,
                0.999993855825398,
                0.9999967112509347,
                0.9999967112493664,
                0.9999957771665554,
                0.9999921107402359,
                0.9999967112509347,
                0.999997438717484,
                0.9999832985701924
            ],
            [
                0.9999991684720715,
                0.9999984465020603,
                0.9999977396754327,
                0.999999352404893,
                0.9999989322967481,
                0.999998790134028,
                0.9999977396754327,
                0.9999989322970027,
                0.9999993524053562,
                0.9999984465022455
            ],
            [
                0.9999970976883608,
                0.9999995549147889,
                0.9999977396762411,
                0.9999986290427931,
                0.999999057755743,
                0.9999989322975118,
                0.9999991684719723,
                0.9999987901347492,
                0.9999990577551815,
                0.9999989322967481
            ],
            [
                4.785092783319532e-06,
                3.2887494572095624e-06,
                1.012998977022003e-05,
                7.338209805224048e-07,
                2.9023112930659533e-06,
                2.902312677104321e-06,
                5.422219616026655e-06,
                2.5612834317908303e-06,
                1.3007126893259932e-05,
                1.7603440527046419e-06
            ],
            [
                0.9999987901343165,
                0.9999986290432835,
                0.9999970976890528,
                0.9999992661791944,
                0.9999982396561571,
                0.9999962733616045,
                0.999999352404893,
                0.9999989322967481,
                0.999998790134028,
                0.9999990577549569
            ],
            [
                4.222833947932061e-06,
                4.222834451382849e-06,
                1.012998977198894e-05,
                1.670142781636389e-05,
                3.726638839878908e-06,
                4.222833947960866e-06,
                4.222833947932061e-06,
                1.670142781560441e-05,
                4.78509278348926e-06,
                7.889263526266196e-06
            ],
            [
                0.9999992661790196,
                0.9999982396572065,
                0.9999992661792819,
                0.9999986290421394,
                0.99999862904312,
                0.9999994284997573,
                0.999999057755069,
                0.9999986290432834,
                0.9999980052700408,
                0.999999352404893
            ],
            [
                6.1441746018123775e-06,
                4.785094494716039e-06,
                2.9023133690821773e-06,
                3.2887478892683997e-06,
                1.3007133116353526e-05,
                2.2603251062270446e-06,
                7.889259764079887e-06,
                4.0063696959216535e-05,
                3.288748281295496e-06,
                7.889262585441413e-06
            ],
            [
                0.9999987901337395,
                0.9999977396757022,
                0.9999986290423029,
                0.9999977396762411,
                0.9999984465015047,
                0.9999962733620487,
                0.9999980052702786,
                0.9999980052693274,
                0.999999057755069,
                0.9999984465016898
            ],
            [
                0.999997438716568,
                0.9999967112505427,
                0.9999989322972572,
                0.9999982396563669,
                0.9999994956524716,
                0.9999980052702785,
                0.9999991684715759,
                0.9999993524054335,
                0.9999982396567867,
                0.9999986290429566
            ],
            [
                0.9999970976890528,
                0.9999952149055056,
                0.9999967112501507,
                0.9999992661786696,
                0.9999974387180947,
                0.9999986290423029,
                0.9999952149060757,
                0.9999885212359796,
                0.9999982396567867,
                0.9999974387177893
            ],
            [
                0.9999986290426297,
                0.9999994284992805,
                0.9999982396565767,
                0.9999996940978095,
                0.9999989322975118,
                0.9999962733593832,
                0.9999989322966208,
                0.9999977396765105,
                0.9999967112517189,
                0.9999990577552937
            ],
            [
                0.9999967112521109,
                0.9999962733607161,
                0.9999984465024306,
                0.9999991684718732,
                0.9999967112497586,
                0.9999982396569966,
                0.9999967112497585,
                0.99999862904312,
                0.9999980052709919,
                0.9999977396748938
            ],
            [
                0.9999898700114355,
                0.9999982396561571,
                0.9999938558253981,
                0.9999962733611601,
                0.9999990577550691,
                0.9999962733620487,
                0.9999810748585286,
                0.9999810748449961,
                0.9999980052695652,
                0.9999921107336526
            ],
            [
                0.999998239656367,
                0.9999986290427931,
                0.9999987901337396,
                0.9999992661791944,
                0.9999991684719723,
                0.999998629042303,
                0.9999984465024306,
                0.9999991684715759,
                0.9999992661786696,
                0.9999993524051246
            ],
            [
                0.9999957771675623,
                0.9999967112517186,
                0.9999910603015649,
                0.9999977396757022,
                0.999994577782323,
                0.9999957771675624,
                0.9999967112501504,
                0.9999930377412605,
                0.9999970976869769,
                0.9999938558239335
            ],
            [
                0.9999989322971299,
                0.9999984465018751,
                0.999998005269803,
                0.9999977396762411,
                0.9999989322975118,
                0.9999974387171787,
                0.9999991684721706,
                0.9999992661790196,
                0.9999984465018751,
                0.9999977396746244
            ],
            [
                0.9999974387177893,
                0.9999990577556308,
                0.9999989322967481,
                0.9999970976876689,
                0.9999994956523512,
                0.9999967112497585,
                0.9999982396561571,
                0.9999996072137998,
                0.9999994284993486,
                0.9999992661790195
            ],
            [
                0.9999989322973846,
                0.9999982396574163,
                0.9999990577554061,
                0.9999992661792819,
                0.9999990577552937,
                0.9999992661792819,
                0.9999994284997573,
                0.999998005269803,
                0.9999995549151073,
                0.9999992661786695
            ],
            [
                0.9999986290421395,
                0.9999994956526519,
                0.9999952149066461,
                0.9999984465020603,
                0.9999987901344607,
                0.9999989322975118,
                0.9999986290427931,
                0.9999995549147358,
                0.9999984465026158,
                0.9999982396561571
            ],
            [
                0.9999987901338838,
                0.999998790134605,
                0.9999984465022455,
                0.9999992661790195,
                0.9999994284993486,
                0.9999984465016898,
                0.9999990577555183,
                0.999999352405279,
                0.9999984465024306,
                0.9999993524048929
            ],
            [
                0.9999970976887068,
                0.9999982396561571,
                0.9999994956527722,
                0.9999991684722698,
                0.9999997897565838,
                0.9999977396757022,
                0.9999994956527121,
                0.9999994956523512,
                0.9999994284996211,
                0.9999993524052789
            ],
            [
                0.9999984465018751,
                0.9999991684715759,
                0.999997438717484,
                0.9999982396559473,
                0.9999990577555185,
                0.9999995549149481,
                0.9999980052707541,
                0.9999992661790196,
                0.9999977396759716,
                0.999999266179107
            ],
            [
                0.9999986290423029,
                0.9999990577556307,
                0.9999990577549569,
                0.9999987901337396,
                0.9999989322967481,
                0.9999984465022455,
                0.999998446502801,
                0.9999986290421394,
                0.9999992661787571,
                0.9999984465018751
            ],
            [
                0.9999984465015047,
                0.9999980052695652,
                0.9999957771680658,
                0.999997438717484,
                0.9999957771670589,
                0.9999987901337395,
                0.9999974387180947,
                0.9999977396754327,
                0.9999984465020603,
                0.9999994284995529
            ],
            [
                0.9999993524051246,
                0.9999987901346049,
                0.9999984465015046,
                0.9999987901337396,
                0.9999980052707541,
                0.9999984465015047,
                0.9999984465018751,
                0.9999996072136592,
                0.9999987901346049,
                0.9999974387171787
            ],
            [
                0.9999991684717741,
                0.9999986290424663,
                0.9999962733611603,
                0.9999977396754327,
                0.9999992661791944,
                0.9999980052705163,
                0.9999994284994167,
                0.9999967112521109,
                0.9999977396748938,
                0.9999994956523512
            ],
            [
                0.99999862904312,
                0.9999986290427931,
                0.9999994956525918,
                0.999998446502801,
                0.99999862904312,
                0.9999990577552937,
                0.999999057755743,
                0.999999168471675,
                0.9999995549148419,
                0.9999982396567867
            ],
            [
                0.9999990577554061,
                0.9999984465015047,
                0.9999991684718732,
                0.9999974387168733,
                0.9999984465016898,
                0.9999989322968754,
                0.9999980052700408,
                0.9999980052705163,
                0.9999957771680658,
                0.999999057755743
            ],
            [
                5.4222202624563834e-06,
                1.1478764019787597e-05,
                3.2887502415243994e-06,
                1.7603440527222532e-06,
                2.90231233114251e-06,
                2.1444958637941764e-05,
                5.422217676979575e-06,
                2.4300252319296727e-05,
                2.9023130231176453e-06,
                6.1441760667392215e-06
            ],
            [
                0.9999930377462402,
                0.9999945777810304,
                0.9999991684715758,
                0.9999987901341723,
                0.9999970976876689,
                0.9999957771650454,
                0.9999970976876689,
                0.9999930377437506,
                0.9999980052702785,
                0.9999977396759716
            ],
            [
                1.3007126913820052e-05,
                2.1444958639072976e-05,
                2.7535687816036267e-05,
                2.4300246523773334e-05,
                1.1478765388711023e-05,
                2.1444953525877587e-05,
                1.892515500808112e-05,
                1.892514598427789e-05,
                1.4738981971813965e-05,
                5.422218969720291e-06
            ],
            [
                0.9999417087066659,
                0.9999869928653338,
                0.9999810748540158,
                0.999978555041362,
                0.999975699753474,
                0.9999785550464746,
                0.9998766054105033,
                0.9999785550541448,
                0.9999646437619403,
                0.999972464312183
            ],
            [
                0.9999952149072165,
                0.9999990577556307,
                0.9999930377437505,
                0.9999957771655487,
                0.9999957771645418,
                0.9999945777823229,
                0.9999952149060757,
                0.9999980052702785,
                0.9999852610162713,
                0.9999930377404305
            ],
            [
                0.9999980052707541,
                0.9999990577550691,
                0.9999991684719723,
                0.9999992661791944,
                0.9999957771675624,
                0.9999989322966208,
                0.9999970976890529,
                0.9999987901338838,
                0.9999989322967482,
                0.99999862904312
            ],
            [
                0.9999991684717741,
                0.999999266178932,
                0.999998629042303,
                0.9999957771655488,
                0.9999977396759716,
                0.9999984465026158,
                0.9999986290432834,
                0.999999057755743,
                0.9999982396563669,
                0.9999986290427932
            ],
            [
                0.9999990577551815,
                0.9999980052709919,
                0.9999987901344607,
                0.9999986290427931,
                0.9999977396762411,
                0.9999989322970027,
                0.9999987901341723,
                0.9999984465018751,
                0.9999994956524115,
                0.9999977396748938
            ],
            [
                0.9999987901341723,
                0.9999982396561571,
                0.9999989322970027,
                0.9999987901341723,
                0.9999990577551814,
                0.9999992661788445,
                0.999997097686977,
                0.9999993524054334,
                0.9999982396565767,
                0.9999984465022455
            ],
            [
                0.9999991684721705,
                0.9999987901341723,
                0.9999993524050473,
                0.9999987901341723,
                0.9999993524054334,
                0.9999977396754327,
                0.99999893229713,
                0.9999990577555185,
                0.9999987901347492,
                0.999998790134028
            ],
            [
                0.9999977396765105,
                0.9999967112493664,
                0.9999980052700408,
                0.9999952149037942,
                0.9999982396559473,
                0.9999986290423029,
                0.9999984465016898,
                0.9999974387180947,
                0.9999990577549568,
                0.9999982396574162
            ],
            [
                0.9999980052707541,
                0.9999957771660521,
                0.9999977396759716,
                0.9999980052695652,
                0.9999986290432834,
                0.9999967112493665,
                0.9999984465018751,
                0.9999992661788446,
                0.9999991684717741,
                0.9999980052700407
            ],
            [
                0.999999057755743,
                0.9999986290424663,
                0.9999991684717741,
                0.9999992661789321,
                0.9999994284994167,
                0.9999994284993486,
                0.9999994956525918,
                0.9999986290421394,
                0.9999967112517189,
                0.9999994284996891
            ],
            [
                0.999999266179107,
                0.9999984465024306,
                0.9999990577551814,
                0.9999989322970027,
                0.9999990577549569,
                0.9999986290421394,
                0.9999990577549568,
                0.9999989322966208,
                0.999999057755069,
                0.9999984465022455
            ],
            [
                0.9999993524054334,
                0.9999987901337396,
                0.9999991684720715,
                0.9999997300422225,
                0.9999994284994167,
                0.9999995549150541,
                0.9999991684719723,
                0.9999991684718732,
                0.9999984465018751,
                0.9999994956527121
            ],
            [
                0.9999967112509347,
                0.9999989322967481,
                0.9999977396757022,
                0.9999989322971299,
                0.9999990577554061,
                0.99998526101803,
                0.9999982396572064,
                0.9999986290429566,
                0.9999980052695652,
                0.9999989322966208
            ],
            [
                0.9999982396567867,
                0.999999554914895,
                0.9999982396572064,
                0.9999984465016899,
                0.9999993524053562,
                0.9999991684718732,
                0.9999991684720715,
                0.9999986290427931,
                0.9999982396567868,
                0.9999980052707541
            ],
            [
                0.9998601779760934,
                0.99997246431876,
                0.9999485577925108,
                0.9997694932306012,
                0.9999546021313743,
                0.9999785550413627,
                0.9999599362934953,
                0.9993736659816902,
                0.9999599362887237,
                0.9999832985701924
            ],
            [
                0.9999991684717741,
                0.9999986290421394,
                0.9999984465020603,
                0.9999987901338838,
                0.9999984465024306,
                0.9999980052705163,
                0.9999977396751633,
                0.9999989322968753,
                0.9999974387187053,
                0.9999938558275957
            ],
            [
                0.9999995549150011,
                0.9999994956527722,
                0.9999977396746244,
                0.9999993524052018,
                0.9999993524052018,
                0.9999992661790196,
                0.999998446502801,
                0.9999990577552937,
                0.9999996072138465,
                0.9999986290429566
            ],
            [
                0.9999974387180947,
                0.9999987901341723,
                0.9999982396567867,
                0.9999980052695652,
                0.9999982396565769,
                0.9999977396757022,
                0.9999970976873229,
                0.9999991684718732,
                0.9999987901341723,
                0.9999982396572065
            ],
            [
                0.9999982396572065,
                0.9999962733616045,
                0.9999962733611601,
                0.9999970976873229,
                0.9999986290421394,
                0.9999980052693274,
                0.9999930377420906,
                0.9999957771655488,
                0.9999977396754327,
                0.9999987901344607
            ],
            [
                0.9999967112497585,
                0.9999986290424664,
                0.9999990577551814,
                0.9999987901344607,
                0.9999970976887068,
                0.9999980052700408,
                0.9999974387171787,
                0.9999989322967481,
                0.9999992661790195,
                0.999998629042303
            ],
            [
                1.8925141471913163e-05,
                1.4738987242700688e-05,
                1.012999460251781e-05,
                1.0129988564845378e-05,
                2.5612831267086116e-06,
                3.288748281295496e-06,
                1.4738987242700688e-05,
                8.93969736955767e-06,
                3.2887506335906595e-06,
                6.144177531599359e-06
            ],
            [
                0.9999989322972572,
                0.9999989322967481,
                0.9999974387180947,
                0.9999980052709918,
                0.9999930377420905,
                0.9999987901344607,
                0.9999967112501507,
                0.9999962733611601,
                0.9999991684718732,
                0.9999984465024306
            ],
            [
                0.9999921107355336,
                0.9999910603058279,
                0.9999984465016898,
                0.9999982396574162,
                0.9999952149066462,
                0.9999957771650454,
                0.999997097686977,
                0.9999982396569965,
                0.9999970976866309,
                0.9999962733611603
            ],
            [
                0.9999986290423029,
                0.9999982396574162,
                0.9999984465015047,
                0.9999974387168733,
                0.9999967112501507,
                0.9999980052702785,
                0.9999986290426297,
                0.9999991684715759,
                0.9999967112521109,
                0.999998629042303
            ],
            [
                0.999998005269803,
                0.9999991684719723,
                0.999999168471675,
                0.9999994284994167,
                0.9999957771670589,
                0.9999984465024306,
                0.9999977396762411,
                0.9999982396561572,
                0.9999991684721706,
                0.9999996940977002
            ],
            [
                0.9999970976876689,
                0.9999970976866309,
                0.9999967112509347,
                0.9999986290424663,
                0.9999977396762411,
                0.9999990577549569,
                0.999998005269803,
                0.9999980052709918,
                0.9999986290426297,
                0.9999974387177892
            ],
            [
                0.9999987901337396,
                0.9999990577556308,
                0.9999989322975118,
                0.9999938558232009,
                0.9999957771680656,
                0.9999952149032237,
                0.9999957771675625,
                0.9999984465018751,
                0.9999967112497586,
                0.9999970976869769
            ],
            [
                0.9999990577555185,
                0.9999994956527121,
                0.9999987901343165,
                0.9999974387184,
                0.9999977396757022,
                0.9999990577549568,
                0.9999977396762411,
                0.999998790134605,
                0.9999986290432834,
                0.9999986290429566
            ],
            [
                0.9999986290427932,
                0.9999986290427931,
                0.9999977396746244,
                0.999997097687669,
                0.9999987901344607,
                0.9999984465024306,
                0.9999986290424663,
                0.9999982396569965,
                0.9999989322968753,
                0.9999987901343165
            ],
            [
                0.9999980052693274,
                0.9999974387184,
                0.9999967112521106,
                0.9999957771645418,
                0.9999957771680658,
                0.9999962733607161,
                0.9999910603058275,
                0.9999980052705163,
                0.9999945777790912,
                0.9999980052695652
            ],
            [
                0.9999989322966208,
                0.9999986290426297,
                0.9999986290432835,
                0.9999989322972572,
                0.9999994284996211,
                0.9999987901344607,
                0.9999994284995529,
                0.9999984465020603,
                0.9999987901343165,
                0.9999989322968754
            ],
            [
                0.9999990577552937,
                0.9999995549151073,
                0.9999991684719723,
                0.9999967112493665,
                0.9999989322972572,
                0.9999984465026158,
                0.9999994956524716,
                0.9999993524048929,
                0.9999989322966208,
                0.9999987901343165
            ],
            [
                0.9999984465026158,
                0.9999987901344607,
                0.9999989322966208,
                0.9999990577549568,
                0.9999986290432834,
                0.9999980052709918,
                0.9999990577549569,
                0.9999982396567867,
                0.9999991684720715,
                0.9999986290432834
            ],
            [
                0.9999977396765105,
                0.9999987901337396,
                0.9999982396567867,
                0.9999989322970027,
                0.9999967112521109,
                0.9999980052700407,
                0.9999980052693274,
                0.9999885212277699,
                0.999997097686977,
                0.9999989322972572
            ],
            [
                1.300712846477255e-05,
                7.88926070489716e-06,
                2.43002378338943e-05,
                8.939695238439078e-06,
                3.120191136899467e-05,
                1.147876812574406e-05,
                2.75356976629957e-05,
                1.6701429808298613e-05,
                4.222835458175145e-06,
                1.6701419853184244e-05
            ],
            [
                0.9999990577556307,
                0.9999990577549568,
                0.999998790134028,
                0.9999945777784449,
                0.9999992661786696,
                0.9999989322968754,
                0.9999982396559474,
                0.9999974387171787,
                0.999998446502801,
                0.999997438716568
            ],
            [
                1.7603434231777837e-06,
                7.338210680002898e-07,
                2.5612828213818346e-06,
                1.0129993395088066e-05,
                2.26032402841657e-06,
                2.9023119851781017e-06,
                5.715003789046955e-07,
                1.5534973841895917e-06,
                1.5534977545603963e-06,
                5.422217676979575e-06
            ],
            [
                0.999820472098197,
                0.9947798737091657,
                0.9989677691706802,
                0.9999251537816681,
                0.9996200154708106,
                0.9626731094431571,
                0.9999785550592557,
                0.9996646498107299,
                0.9997694933396986,
                0.9986749778523717
            ],
            [
                0.9999945777797377,
                0.9999982396574163,
                0.9999989322972572,
                0.9999987901341723,
                0.9999974387184,
                0.9999990577555185,
                0.9999984465020603,
                0.9999930377412606,
                0.9999982396569966,
                0.9999989322966208
            ],
            [
                0.9999977396751633,
                0.9999967112509347,
                0.9999994284994849,
                0.9999989322968754,
                0.9999952149072167,
                0.9999994284994167,
                0.9999974387171787,
                0.9999980052702785,
                0.9999982396561571,
                0.9999977396765105
            ],
            [
                0.9999945777784448,
                0.9999869928761876,
                0.999989870006606,
                0.9999952149060758,
                0.9999898700102283,
                0.9999898700126444,
                0.9999984465020603,
                0.9999957771665555,
                0.9999945777823231,
                0.9999945777816767
            ],
            [
                0.9999984465024306,
                0.9999993524052018,
                0.9999993524051246,
                0.999999168471675,
                0.9999982396572064,
                0.9999993524051246,
                0.9999990577549568,
                0.9999991684721705,
                0.999999057755069,
                0.9999986290429566
            ],
            [
                0.9999994284993486,
                0.9999991684718732,
                0.9999994284994849,
                0.9999991684715759,
                0.9999991684716749,
                0.9999992661792819,
                0.9999991684716749,
                0.9999984465022455,
                0.9999990577555185,
                0.9999990577552937
            ],
            [
                0.9999987901344607,
                0.9999977396751633,
                0.9999977396746244,
                0.9999986290421394,
                0.9999977396751633,
                0.9999970976890528,
                0.9999970976866309,
                0.9999832985721903,
                0.9999970976873229,
                0.9999984465022455
            ],
            [
                0.9999957771650454,
                0.9999987901347491,
                0.9999982396574163,
                0.9999952149060757,
                0.999998446502801,
                0.9999990577554061,
                0.9999982396559473,
                0.9999938558232008,
                0.9999986290427931,
                0.9999970976873229
            ],
            [
                0.9999967112505427,
                0.999996273360716,
                0.9999982396561571,
                0.9999967112513267,
                0.9999980052705163,
                0.9999967112493665,
                0.9999986290421394,
                0.999998629042303,
                0.9999982396559473,
                0.9999980052693274
            ],
            [
                0.9999980052709918,
                0.9999993524050474,
                0.9999987901347491,
                0.9999993524050474,
                0.9999994284997573,
                0.9999974387177893,
                0.9999991684718732,
                0.9999982396569966,
                0.999997097687323,
                0.9999994284996893
            ],
            [
                0.9999945777784447,
                0.9999885212346108,
                0.9999885212359798,
                0.9999869928668836,
                0.9999852610110004,
                0.9999785550541448,
                0.9999898700066053,
                0.9999785550439179,
                0.9999930377420904,
                0.9999938558275955
            ],
            [
                0.9999986290423029,
                0.9999952149060758,
                0.9999989322972572,
                0.9999977396757022,
                0.9999991684716749,
                0.9999992661792819,
                0.999998629042303,
                0.9999991684719723,
                0.9999989322966208,
                0.9999977396754327
            ],
            [
                0.9999930377462405,
                0.9999852610162746,
                0.9999921107364743,
                0.9999921107383549,
                0.9999938558246657,
                0.9999785550515903,
                0.9999646437577306,
                0.9999687980923697,
                0.9999898700041905,
                0.9999599362935121
            ],
            [
                0.9999987901347492,
                0.9999987901337396,
                0.9999996533672962,
                0.9999990577555185,
                0.9999984465022455,
                0.9999986290421395,
                0.9999990577554061,
                0.9999986290432834,
                0.9999989322967481,
                0.9999995549148419
            ],
            [
                0.9999980052707541,
                0.9999991684721706,
                0.9999991684715758,
                0.9999962733620487,
                0.9999980052709919,
                0.999998005269803,
                0.999997097686977,
                0.9999980052693274,
                0.9999991684720715,
                0.999997438716568
            ],
            [
                0.9999989322975118,
                0.9999984465016899,
                0.9999991684717741,
                0.9999980052709919,
                0.9999993524053562,
                0.999996273360716,
                0.999999352405279,
                0.9999991684721705,
                0.9999986290432834,
                0.9999990577549568
            ],
            [
                0.999948557798617,
                0.9999546021151456,
                0.9999339478632105,
                0.9999724642990576,
                0.999704042901401,
                0.9999417087553356,
                0.9998601778594738,
                0.999891103090875,
                0.9992903297110316,
                0.999891103116832
            ],
            [
                0.9999989322973845,
                0.9999995549149481,
                0.9999991684719723,
                0.9999990577550691,
                0.9999992661791944,
                0.9999992661786695,
                0.9999977396748938,
                0.9999994956524115,
                0.9999990577551814,
                0.9999982396574163
            ],
            [
                0.9999987901337396,
                0.9999967112497585,
                0.9999991684722698,
                0.9999980052693274,
                0.9999982396574162,
                0.9999989322970027,
                0.9999980052693274,
                0.9999980052702786,
                0.9999977396746244,
                0.9999984465016898
            ],
            [
                0.9999992661790196,
                0.9999989322970027,
                0.9999990577555183,
                0.9999990577556307,
                0.9999992661788445,
                0.9999980052700408,
                0.9999991684717741,
                0.999999266179107,
                0.9999989322975118,
                0.9999989322973846
            ],
            [
                0.9999962733620487,
                0.9999980052709918,
                0.9999986290429566,
                0.999998446502801,
                0.9999990577551814,
                0.9999980052693275,
                0.9999990577554061,
                0.999998239656367,
                0.9999986290426298,
                0.9999980052693274
            ],
            [
                0.9999962733607158,
                0.9999832985741738,
                0.9999885212291378,
                0.9999921107336526,
                0.999992110740236,
                0.9999599362887142,
                0.9999952149032237,
                0.9999930377420906,
                0.9999967112505425,
                0.9999945777803838
            ],
            [
                0.9999987901341723,
                0.9999987901343165,
                0.9999967112509347,
                0.9999990577554061,
                0.9999982396572065,
                0.9999984465018751,
                0.9999989322970027,
                0.999997438717484,
                0.9999984465020603,
                0.9999992661788445
            ],
            [
                0.9999962733593833,
                0.9999980052709919,
                0.9999980052693274,
                0.9999987901344607,
                0.9999984465016899,
                0.9999982396574163,
                0.9999989322970027,
                0.9999989322973846,
                0.9999970976876689,
                0.999997438717484
            ],
            [
                0.999999266178757,
                0.9999991684716749,
                0.9999982396569965,
                0.9999989322973845,
                0.9999994284996893,
                0.9999987901340279,
                0.9999990577550691,
                0.9999984465022455,
                0.9999987901338838,
                0.9999989322967481
            ],
            [
                0.9999991684719723,
                0.9999990577554061,
                0.999999057755743,
                0.9999989322971299,
                0.9999989322975118,
                0.9999986290432834,
                0.9999991684715758,
                0.9999989322966208,
                0.9999990577550691,
                0.9999990577556308
            ]
        ]
    },
    {
        "q_id": "10409_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            17,
            29,
            30
        ],
        "rewards": [
            [
                1.3709575337016483e-06,
                8.315278294001114e-07,
                4.222834451169694e-06,
                6.475950297906914e-07,
                5.043475885674441e-07,
                2.1024329090781183e-07,
                6.144176798255599e-06,
                1.8553914606950867e-07,
                3.7266383952696564e-06,
                1.0677031245783732e-06
            ],
            [
                0.9999994284995529,
                0.9999756997563805,
                0.9999930377420906,
                0.999999789756684,
                0.999999694097773,
                0.9999998144608097,
                0.99999844650169,
                0.999995214904935,
                0.9999990577556307,
                0.9999982396561572
            ],
            [
                0.999997438716568,
                0.9999970976883612,
                0.9999898700126449,
                0.999997438716568,
                0.9999921107345937,
                0.9999991684717742,
                0.9999992661788446,
                0.9999986290427931,
                0.9999993524051246,
                0.9999989322968754
            ],
            [
                1.1478768124783601e-05,
                3.726639727750306e-06,
                1.1478772225271098e-05,
                3.7266392839425286e-06,
                2.9023126770343703e-06,
                5.42221961567159e-06,
                6.144177531007026e-06,
                2.144494073569759e-05,
                1.0129994601688632e-05,
                5.422217676797111e-06
            ],
            [
                1.44498072631301e-07,
                3.059023363207381e-07,
                1.9947294835866542e-06,
                3.726641060956752e-06,
                3.2887482811220126e-06,
                1.3709573700615334e-06,
                3.927861066113479e-07,
                8.315281267339571e-07,
                1.5534984953199313e-06,
                9.422447061953531e-07
            ],
            [
                0.9999921107374143,
                0.9999910603047617,
                0.9999987901344607,
                0.9998766053664352,
                0.99973880959746,
                0.9999962733611604,
                0.9999994284992805,
                0.9999910602994336,
                0.9999991684718733,
                0.9996646497699858
            ],
            [
                0.9999982396563669,
                0.9999986290421394,
                0.9999977396754328,
                0.9999957771650453,
                0.99999862904312,
                0.9999974387180947,
                0.9999991684716749,
                0.999996273360716,
                0.9999952149049349,
                0.9999974387187053
            ],
            [
                0.9999998555020135,
                0.9999994284996211,
                0.999999057755069,
                0.9999991684717742,
                0.9999980052702786,
                0.9999995549150011,
                0.9999986290427932,
                0.9999980052705163,
                0.9999980052695654,
                0.9999982396559474
            ],
            [
                0.9999974387187053,
                0.9999970976880149,
                0.9999994956523514,
                0.9999977396759716,
                0.9999990577556307,
                0.9999962733598274,
                0.9999952149037942,
                0.9999996533674615,
                0.9999990577554061,
                0.9999938558275957
            ],
            [
                0.9999921107345945,
                0.999998239656367,
                0.9999996533672549,
                0.9999996940978095,
                0.9999992661791944,
                0.9999967112509346,
                0.9999938558246657,
                0.999998005269803,
                0.9999957771680659,
                0.9999991684719723
            ],
            [
                5.715003107715166e-07,
                2.1024329090929374e-07,
                3.726639727940109e-06,
                1.3709575336654889e-06,
                7.338207179493245e-07,
                1.2098655392921197e-06,
                9.422447062150634e-07,
                3.4663257978465195e-07,
                1.855391239544352e-07,
                1.855391239505118e-07
            ],
            [
                8.939700565834043e-06,
                2.1444958637356654e-05,
                1.0677029972522599e-06,
                3.726638839656906e-06,
                3.059021539864825e-07,
                6.475949525434003e-07,
                1.1478769492141554e-05,
                1.5534971989696065e-06,
                1.6701425824307884e-05,
                1.8925152747388e-05
            ],
            [
                6.9622545892184106e-06,
                4.539787937205107e-05,
                1.8925157260443894e-05,
                5.71500378896509e-07,
                2.260323758882316e-06,
                3.0590211752039556e-07,
                3.1201922523121745e-05,
                1.3007128457958606e-05,
                1.3709568799592562e-06,
                2.260324028306588e-06
            ],
            [
                0.9999986290423029,
                0.9999957771650454,
                0.9999982396574163,
                0.9999995549147889,
                0.999999266178932,
                0.9999987901337396,
                0.9999991684718733,
                0.9999982396559474,
                0.9999967112521109,
                0.9999921107364751
            ],
            [
                1.2098659719661556e-06,
                6.475950297821511e-07,
                1.2098658277181688e-06,
                9.42244593835151e-07,
                1.2098655392811161e-06,
                1.209866116170145e-06,
                3.4663274507287414e-07,
                1.2098662604049616e-06,
                4.450849458200093e-07,
                1.760343003208622e-06
            ],
            [
                2.561282821209454e-06,
                8.315284240508931e-07,
                4.222833444429485e-06,
                3.726639727994339e-06,
                2.5612822106654943e-06,
                1.0677029972270124e-06,
                8.315280276338815e-07,
                6.475945665900901e-07,
                4.450849988181358e-07,
                1.5534975693036317e-06
            ],
            [
                0.9999967112521109,
                0.9999756997505795,
                0.999985261016272,
                0.9999687980886309,
                0.999992110738355,
                0.999992110740236,
                0.9999987901347491,
                0.9999339478317334,
                0.9999038975621116,
                0.9999485577741519
            ],
            [
                7.338207180287456e-07,
                2.561282515886208e-06,
                8.315280276338815e-07,
                2.9023112931213857e-06,
                9.422447061456491e-07,
                1.5534984952492866e-06,
                4.450849988733914e-07,
                1.7603432132079998e-06,
                2.9023130227599746e-06,
                5.715003788853339e-07
            ],
            [
                0.9999980052695652,
                0.9999938558261305,
                0.9999994956524716,
                0.9999991684715758,
                0.9999987901337396,
                0.9999785550439215,
                0.9999982396565769,
                0.9999974387180947,
                0.9999980052700408,
                0.9999921107345946
            ],
            [
                0.999999352404893,
                0.9999993524051246,
                0.9999993524052018,
                0.9999986290427931,
                0.9999910603004991,
                0.9999977396748938,
                0.9999990577550691,
                0.9999996940978461,
                0.9999998362623332,
                0.9999987901338837
            ],
            [
                6.144173869312763e-06,
                1.3007134665413997e-05,
                6.1441753337365085e-06,
                6.144173136729416e-06,
                5.42221961567159e-06,
                5.422217676575195e-06,
                6.144176064364297e-06,
                1.1478763818216806e-05,
                9.422442568548903e-07,
                1.670141785809127e-05
            ],
            [
                0.9999982396572065,
                0.9999998555019962,
                0.9999997617630616,
                0.9999998724809267,
                0.9999994956523514,
                0.9999996533674202,
                0.999999789756634,
                0.9999996072136125,
                0.9999984465026159,
                0.9999986290427934
            ],
            [
                1.209866116170145e-06,
                4.222832437324657e-06,
                1.5534971988707037e-06,
                5.715003788933905e-07,
                5.04347648686092e-07,
                5.043473480730849e-07,
                3.0590226338671677e-07,
                4.450852111120808e-07,
                3.0590229985449037e-07,
                3.4663249713205845e-07
            ],
            [
                0.99999893229713,
                0.9999997617631469,
                0.9999989322975119,
                0.9999993524049703,
                0.9999992661788446,
                0.9999997300421903,
                0.9999998362623332,
                0.9999997617630616,
                0.9999992661791945,
                0.9999995549148419
            ],
            [
                0.999999554914842,
                0.9999996072136592,
                0.9999984465015047,
                0.9999996072136125,
                0.999998790134028,
                0.999999814460876,
                0.9999967112497585,
                0.9999998362622746,
                0.9999997300422225,
                0.9999986290426298
            ],
            [
                0.999999653367379,
                0.9999997617631752,
                0.9999998144609423,
                0.9999994284996211,
                0.9999996533672549,
                0.9999996940978825,
                0.9999998362623332,
                0.9999997617631752,
                0.9999997617630333,
                0.9999996533674202
            ],
            [
                0.9999869928668839,
                0.9999852610127589,
                0.9999910603058274,
                0.999991060306893,
                0.9999724643154654,
                0.9999952149060758,
                0.9999945777816766,
                0.9999546021205374,
                0.9999898700078128,
                0.9999251537549356
            ],
            [
                1.9947292458930106e-06,
                6.475947209918244e-07,
                3.7266388396975786e-06,
                1.3709572067955008e-06,
                4.7850933535659155e-06,
                2.260325106045111e-06,
                1.0677028699489821e-06,
                7.889265405146477e-06,
                4.785094493532295e-06,
                7.889264465842609e-06
            ],
            [
                0.9999986290432834,
                0.9999994284994849,
                0.9999998555019274,
                0.9999987901338838,
                0.9999996940977001,
                0.9999982396559474,
                0.9999986290426298,
                0.9999984465026158,
                0.9999982396563669,
                0.9999957771665557
            ],
            [
                0.9999962733607161,
                0.9999251537728434,
                0.9999810748585343,
                0.9999339478395871,
                0.9999938558232008,
                0.9999910603068932,
                0.9999810748562736,
                0.9999990577555183,
                0.9999756997679602,
                0.9999724643154663
            ],
            [
                0.9999852610215458,
                0.9999970976887068,
                0.999998790134028,
                0.999993855823934,
                0.9999938558268633,
                0.9999980052698029,
                0.9999967112521109,
                0.9999995549149481,
                0.9999339478474549,
                0.9999921107374143
            ],
            [
                2.2603251060738913e-06,
                1.3709572067181944e-06,
                3.466327037472645e-07,
                3.0590215398829087e-07,
                5.715002426439334e-07,
                9.422447062030659e-07,
                4.222834951722786e-06,
                2.2603240283888175e-06,
                8.31528424151477e-07,
                5.715004470272272e-07
            ],
            [
                0.999998932297512,
                0.9999994284993486,
                0.9999997897567091,
                0.9999997300422225,
                0.9999996072138466,
                0.999999814460876,
                0.9999999006880904,
                0.9999990577549569,
                0.9999997300422869,
                0.9999992661786696
            ],
            [
                1.9947297211279344e-06,
                1.2098659718539182e-06,
                9.422443692446175e-07,
                9.422444815679433e-07,
                1.760343632920248e-06,
                4.4508521110762794e-07,
                2.2603248367358324e-06,
                1.2098659719601033e-06,
                1.2098655392222467e-06,
                4.450848927599543e-07
            ],
            [
                0.9999910603068933,
                0.9999646437366505,
                0.9996646498956523,
                0.9999687980849105,
                0.999664649732569,
                0.9999756997476829,
                0.999998446502801,
                0.9999832985741745,
                0.9999546021367908,
                0.9999869928653341
            ],
            [
                0.999998932296621,
                0.9999756997505795,
                0.9999987901343166,
                0.999997097686977,
                0.9999980052700407,
                0.9999921107336525,
                0.9999962733593831,
                0.9999785550439274,
                0.9999974387168733,
                0.999876605439948
            ],
            [
                0.9999810748517598,
                0.9999921107355335,
                0.9999687980886323,
                0.9989677688335982,
                0.9999977396762411,
                0.999978555054146,
                0.9999885212291383,
                0.9999785550515917,
                0.9999339478317045,
                0.9999251537727469
            ],
            [
                0.9999993524054335,
                0.9999885212346123,
                0.999999554914895,
                0.9999996072136592,
                0.9999990577551815,
                0.999996273360716,
                0.9999885212318762,
                0.9999990577550691,
                0.999981074858529,
                0.999999554914789
            ],
            [
                4.785095064819011e-06,
                4.2228329408924035e-06,
                8.315281267649641e-07,
                1.5534973841450852e-06,
                4.785096775389454e-06,
                7.338213304143191e-07,
                8.315283250082584e-07,
                1.9947299592407137e-06,
                6.144172403928222e-06,
                4.450852641681257e-07
            ],
            [
                0.9999945777810303,
                0.9999921107402359,
                0.9999998144609423,
                0.9999952149049349,
                0.9999957771660521,
                0.999999789756634,
                0.9999997300422225,
                0.9999992661790196,
                0.9999991684721706,
                0.9999977396765105
            ],
            [
                8.93969310584124e-06,
                3.120191123755201e-05,
                4.222834450505264e-06,
                9.422442569028803e-07,
                1.6701425821573757e-05,
                1.209865250822125e-06,
                1.5534979397592542e-06,
                9.422444815563743e-07,
                3.466327863945479e-07,
                1.1478772226356834e-05
            ],
            [
                2.699577774560111e-07,
                3.4663266243111764e-07,
                2.3823688159069855e-07,
                7.338213304016384e-07,
                9.422445938861406e-07,
                8.31528126775552e-07,
                1.6373764720923895e-07,
                1.637377448021868e-07,
                5.043476486764593e-07,
                8.315281267649641e-07
            ],
            [
                0.999999495652712,
                0.9999921107355342,
                0.9999987901341723,
                0.9999989322973845,
                0.9999993524051246,
                0.9999982396565769,
                0.9999996072136592,
                0.999997097686977,
                0.9999962733607162,
                0.9999998362623723
            ],
            [
                0.9999997617630049,
                0.9999957771670593,
                0.9999977396762411,
                0.9999994956524114,
                0.999997097686977,
                0.9999984465020603,
                0.9999997300422225,
                0.9999986290427931,
                0.9999997897565587,
                0.999998239656367
            ],
            [
                0.9999986290421394,
                0.9999996533672136,
                0.9999996072136125,
                0.999997438716568,
                0.9999945777790914,
                0.9999997617630049,
                0.9999996940976636,
                0.9999997300421581,
                0.9999994284995529,
                0.9999993524049703
            ],
            [
                0.9999990577554061,
                0.9999974387187053,
                0.9999980052698029,
                0.9999952149043645,
                0.9999984465024306,
                0.999999694097773,
                0.9999982396572065,
                0.9999962733620487,
                0.9999996072137061,
                0.999999730042319
            ],
            [
                3.4663249713741784e-07,
                1.76034300345598e-06,
                5.043473480607e-07,
                2.3823693838927385e-07,
                5.043474081902134e-07,
                5.043472879504592e-07,
                2.1024331595708952e-07,
                1.7603434231385591e-06,
                7.338208055536515e-07,
                1.2098661161107252e-06
            ],
            [
                0.9999986290432835,
                0.9999995549149481,
                0.9999986290421395,
                0.9999980052700408,
                0.9999996533674615,
                0.9999994956527121,
                0.9999989322973845,
                0.9999974387187054,
                0.9999991684717742,
                0.9999989322973845
            ],
            [
                0.9999994284993485,
                0.9999990577550691,
                0.999999266178932,
                0.9999993524052019,
                0.999999814460876,
                0.9999989322975118,
                0.9999967112513267,
                0.9999987901338838,
                0.9999997897566089,
                0.9999957771650453
            ],
            [
                0.9997694933400205,
                0.999876605410392,
                0.9998766054692472,
                0.9992903294479609,
                0.9997965730750231,
                0.9982992772794348,
                0.9993736658990929,
                0.9947798746038705,
                0.9991959140590863,
                0.9992903296166679
            ],
            [
                0.9999756997505767,
                0.9999687980887341,
                0.9999151889384605,
                0.9999957771675625,
                0.9999938558232009,
                0.9999869928668841,
                0.9999997300422225,
                0.9999957771665555,
                0.999993855826863,
                0.9998911031037632
            ],
            [
                0.9996646497302664,
                0.9998204720980979,
                0.9999546021098639,
                0.9999251537727355,
                0.9996646499716764,
                0.9999724643089034,
                0.9999546021421827,
                0.9999251537906257,
                0.9995121428853353,
                0.999876605410471
            ],
            [
                0.9999987901341723,
                0.9999339478317286,
                0.9999599363125918,
                0.9999962733602719,
                0.9999962733611643,
                0.9999952149055054,
                0.9999980052709918,
                0.9999151889589786,
                0.999996273358939,
                0.9997694933401279
            ],
            [
                9.422442568163268e-07,
                7.33820718037422e-07,
                2.7535681233968765e-05,
                1.0129988562661878e-05,
                1.0129987355988324e-05,
                5.043472277838052e-07,
                1.0677027427340866e-06,
                1.1478773598099973e-05,
                3.466326624142512e-07,
                8.315280275673297e-07
            ],
            [
                0.9999810748517617,
                0.9999599363221447,
                0.9999546021205443,
                0.9999151889182053,
                0.9998415638021905,
                0.9998415638210723,
                0.9999646437535052,
                0.9992903294596016,
                0.9999546021205374,
                0.9999898700066053
            ],
            [
                0.999999694097773,
                0.9999992661792819,
                0.9999991684720715,
                0.9999996940978095,
                0.9999957771665561,
                0.9999930377429213,
                0.9999997617631469,
                0.9999994284995529,
                0.9999997897567091,
                0.9999938558246664
            ],
            [
                0.9999995549147889,
                0.9999980052707541,
                0.9999957771670592,
                0.9999984465026158,
                0.9999994956527121,
                0.9999996533672962,
                0.9999996072136125,
                0.9999996072137998,
                0.9999996940976272,
                0.9999987901347493
            ],
            [
                1.9947304348332037e-06,
                5.043475284228866e-07,
                3.2887490653109436e-06,
                4.222835457595211e-06,
                9.422447062030659e-07,
                1.012999339449843e-05,
                5.422217030495909e-06,
                1.2098655392574583e-06,
                1.5534973841705173e-06,
                4.4508505193386385e-07
            ],
            [
                0.990291522264974,
                0.9997965730753606,
                0.9999687980811879,
                0.999954602120557,
                0.9997388096906166,
                0.9997694933131654,
                0.9999869928668851,
                0.9997965729784409,
                0.999941708748396,
                0.9999485577925429
            ],
            [
                0.9999994956523514,
                0.999999352404893,
                0.9999997617630616,
                0.9999998362623722,
                0.9999987901346049,
                0.9999994284994848,
                0.9999996533675028,
                0.9999986290427931,
                0.9999996533674202,
                0.9999952149032243
            ],
            [
                0.9998415637649848,
                0.9999910602994335,
                0.9999945777823236,
                0.999981074842736,
                0.9999885212346115,
                0.9999921107336531,
                0.9999970976890528,
                0.9999992661787571,
                0.999975699767958,
                0.9999339478474645
            ],
            [
                3.466325797827604e-07,
                1.9947299592407137e-06,
                2.699578096302362e-07,
                8.31528424151477e-07,
                5.715003788749385e-07,
                6.475950297906914e-07,
                2.699577774560111e-07,
                4.78509620374567e-06,
                1.7603432132464244e-06,
                5.422218323019487e-06
            ],
            [
                2.5612831264675113e-06,
                1.8925150491445666e-05,
                1.3709568799592562e-06,
                3.2887498493983645e-06,
                8.481104086714422e-05,
                2.144494328302938e-05,
                1.2098652507847127e-06,
                4.222834954561012e-06,
                6.475945666009864e-07,
                3.7266406163624873e-06
            ],
            [
                7.338210679909462e-07,
                5.422221554581283e-06,
                6.475951069932288e-07,
                1.3709570433979422e-06,
                4.539787911937306e-05,
                8.939698432917844e-06,
                2.1444948408977715e-05,
                2.561283431986506e-06,
                4.7850962047640385e-06,
                3.7266401719851935e-06
            ],
            [
                0.9999996940977366,
                0.9999994956527721,
                0.9999994284994167,
                0.9999970976869772,
                0.9999938558261311,
                0.9999989322972572,
                0.9999986290431201,
                0.9999970976869771,
                0.999996711252111,
                0.9999995549147359
            ],
            [
                1.473898723610551e-05,
                1.760343213227212e-06,
                1.7603427935518875e-06,
                3.7266379505740294e-06,
                1.994730196992497e-06,
                1.5534981248528732e-06,
                1.4738976692993472e-05,
                2.753569437266178e-05,
                6.962259565520738e-06,
                1.0129989771823107e-05
            ],
            [
                4.78509449410676e-06,
                3.2887506332466845e-06,
                4.2228324375973415e-06,
                3.288749849209925e-06,
                6.962255419380732e-06,
                5.043473480345541e-07,
                1.3709570434054234e-06,
                1.3709568799679844e-06,
                6.962256248871951e-06,
                2.699578740011634e-07
            ],
            [
                0.9999832985721876,
                0.9999756997592666,
                0.9999885212264015,
                0.9999938558268628,
                0.9999687980923468,
                0.9999785550541431,
                0.9999945777816771,
                0.9999921107392972,
                0.999948557761846,
                0.999876605439851
            ],
            [
                3.466326211105621e-07,
                4.450848927621807e-07,
                3.9278638755456876e-07,
                3.466324971396247e-07,
                2.382369667914917e-07,
                1.2098659718990333e-06,
                2.2603248366762157e-06,
                3.9278620025275473e-07,
                6.475945666009864e-07,
                2.6995787400208416e-07
            ],
            [
                0.9999992661788446,
                0.9999994956527722,
                0.9999990577552939,
                0.9999987901344608,
                0.9999996940978095,
                0.9999977396748939,
                0.9999994956524716,
                0.9999952149043648,
                0.9999996533672549,
                0.9999996533675028
            ],
            [
                1.0677027426709671e-06,
                1.3709568798607528e-06,
                7.338207180601138e-07,
                5.715007195228928e-07,
                5.715006514040971e-07,
                8.939696302652706e-06,
                3.2887498491620677e-06,
                4.450851049941403e-07,
                1.0677027427166074e-06,
                1.3709578603659798e-06
            ],
            [
                0.9999987901338838,
                0.9999974387168733,
                0.9999994956524114,
                0.9999910603058274,
                0.9999930377454105,
                0.9999994284996211,
                0.9999994956527722,
                0.9999970976883608,
                0.9999996533672962,
                0.9999970976866309
            ],
            [
                0.9999997300422225,
                0.9999986290427931,
                0.9999995549149481,
                0.9999989322970028,
                0.999999789756634,
                0.9999994284996211,
                0.9999992661786695,
                0.9999998555019274,
                0.9999996940977731,
                0.9999996533675028
            ],
            [
                0.9999339478395728,
                0.9999991684720715,
                0.9999982396565769,
                0.9999599363125955,
                0.9999991684721706,
                0.999998446502801,
                0.9999885212264013,
                0.9999977396754327,
                0.9999952149037941,
                0.9999885212277696
            ],
            [
                3.2887490652451393e-06,
                1.0677029972833341e-06,
                5.715002426202836e-07,
                5.715007194917061e-07,
                8.315279285088606e-07,
                1.9947301969707264e-06,
                3.927863407225873e-07,
                1.3709570433786157e-06,
                1.3709573702248741e-06,
                1.7603434230088762e-06
            ],
            [
                0.9999810748427379,
                0.9997694932354773,
                0.9995121428860448,
                0.9998766054398833,
                0.9995694429461562,
                0.999860177942705,
                0.999860177959267,
                0.9995694430176015,
                0.9999646437408746,
                0.9999832985801468
            ],
            [
                0.9999885212359799,
                0.9999967112509347,
                0.9999885212346113,
                0.9999992661786696,
                0.9999977396765106,
                0.9999885212277702,
                0.9999987901341723,
                0.9999962733602716,
                0.9999962733611604,
                0.9999957771675623
            ],
            [
                0.9999996940976272,
                0.9999989322967482,
                0.9999997617629764,
                0.9999992661790195,
                0.9999994284995529,
                0.999999694097846,
                0.9999992661792819,
                0.999999168471675,
                0.9999982396574163,
                0.9999994284994167
            ],
            [
                0.9999994956526519,
                0.9999984465024306,
                0.9999852610232999,
                0.9999998724809723,
                0.9999977396746244,
                0.999999168471675,
                0.9999995549150011,
                0.9999990577556307,
                0.999999352404893,
                0.9999990577556308
            ],
            [
                0.9999997617631184,
                0.9999996072138934,
                0.9999977396748941,
                0.999999814460854,
                0.9999997300421903,
                0.9999980052705166,
                0.9999986290432835,
                0.9999974387184002,
                0.9999987901338838,
                0.9999997617631469
            ],
            [
                0.9999984465015047,
                0.9999986290432835,
                0.9999952149037944,
                0.9999996072137529,
                0.999999814460876,
                0.9999998362623332,
                0.9999995549147359,
                0.9999992661791944,
                0.9999997897565587,
                0.9999977396765106
            ],
            [
                0.9999984465024306,
                0.9999980052709919,
                0.9999989322967482,
                0.9999982396563669,
                0.9999957771665555,
                0.9999994956524716,
                0.9999957771665555,
                0.9999945777823231,
                0.9999970976880149,
                0.9999832985821381
            ],
            [
                6.962259569117366e-06,
                1.9947304346535984e-06,
                6.475947209985977e-07,
                7.338207180801359e-07,
                1.5534977545102382e-06,
                3.4663270374206273e-07,
                2.2603240282243575e-06,
                6.475951069932288e-07,
                6.475947981904966e-07,
                5.715006514074756e-07
            ],
            [
                0.9999832985741745,
                0.9999832985821381,
                0.9999957771670589,
                0.9999993524053562,
                0.9999687980960708,
                0.9999962733598274,
                0.999933947831719,
                0.9999980052700408,
                0.9999945777797377,
                0.9999977396765105
            ],
            [
                8.315284241333265e-07,
                3.927861534349064e-07,
                3.0590211752206485e-07,
                2.561282821209454e-06,
                7.338209804773549e-07,
                2.260323489024314e-06,
                4.222832437443716e-06,
                9.422447062030659e-07,
                6.475947209953583e-07,
                1.3709568798607528e-06
            ],
            [
                0.9999986290421394,
                0.9999986290432834,
                0.9999991684717742,
                0.9999977396751634,
                0.999997438717484,
                0.9999957771670589,
                0.9999957771650454,
                0.9999977396762411,
                0.9999251537994984,
                0.9999990577551815
            ],
            [
                0.9999995549150011,
                0.9999986290423029,
                0.9999998144609645,
                0.9999992661786695,
                0.9999957771665555,
                0.9999967112501507,
                0.9999991684717742,
                0.9999986290421395,
                0.9999921107336526,
                0.999997097687669
            ],
            [
                2.753570414629798e-05,
                6.144172401748879e-06,
                2.561283431916622e-06,
                6.962255419279419e-06,
                1.067703251769523e-06,
                2.7535687803514833e-05,
                1.8925143723620274e-05,
                1.7603425834564988e-06,
                1.5534977543406908e-06,
                9.422443692090534e-07
            ],
            [
                2.561281905100056e-06,
                6.962258736700326e-06,
                1.7603434231241496e-06,
                3.059021904559123e-07,
                5.715005832798517e-07,
                4.2228349543420954e-06,
                4.2228344508893285e-06,
                1.2098658277082653e-06,
                NaN,
                4.78509506425325e-06
            ],
            [
                0.9999998144608538,
                0.9999991684716749,
                0.9999997897566089,
                0.9999997617631184,
                0.999999554915001,
                0.9999998144609645,
                0.9999998362623332,
                0.9999998144609644,
                0.999998932296621,
                0.9999997897566089
            ],
            [
                0.9999980052700408,
                0.9999994284995529,
                0.9999974387187053,
                0.9999967112493665,
                0.9999980052695652,
                0.9999995549150542,
                0.9999996072137998,
                0.9999994956523514,
                0.999995777167059,
                0.9999952149055054
            ],
            [
                0.9999910602994336,
                0.9999930377420904,
                0.9999930377454105,
                0.9999921107345934,
                0.9999930377420905,
                0.9995121428244533,
                0.9999251537727469,
                0.9998601779260005,
                0.999999057755743,
                0.9999151889384297
            ],
            [
                0.9999687980997877,
                0.9999485577863506,
                0.999975699767961,
                0.9999251537549112,
                0.9999038975506579,
                0.9999151889182207,
                0.9995694430129044,
                0.9996646499705251,
                0.9998415638400048,
                0.9999038975624012
            ],
            [
                0.9997965729295001,
                0.9999646437535026,
                0.9999952149037942,
                0.9999646437535052,
                0.9999687980923515,
                0.999998446502801,
                0.9999756997679594,
                0.9999251537638204,
                0.9999546021314538,
                0.9998766053662573
            ],
            [
                0.9999996533672962,
                0.9999997897567342,
                0.9999996533672962,
                0.99999893229713,
                0.9999984465018751,
                0.999999266179107,
                0.9999957771655492,
                0.9999974387171787,
                0.9999997897566338,
                0.9999989322968755
            ],
            [
                0.999996711252111,
                0.9998766054692634,
                0.9999885212318746,
                0.999985261018029,
                0.9999885212359796,
                0.9999546021313646,
                0.9998911030908624,
                0.9999869928684354,
                0.9999417087066922,
                0.9999974387180947
            ],
            [
                0.9999990577554061,
                0.9999992661790195,
                0.9999987901347492,
                0.9999982396561571,
                0.9999957771680658,
                0.9999952149066461,
                0.9999991684717742,
                0.9999982396574163,
                0.9999994284997573,
                0.9999952149066462
            ],
            [
                6.47594798194325e-07,
                3.9278629390507954e-07,
                1.9947297214544894e-06,
                9.422444815495185e-07,
                2.5612831266165976e-06,
                1.994729245878497e-06,
                2.5612822106654943e-06,
                3.2887478886163427e-06,
                9.422450431260706e-07,
                6.475950297644816e-07
            ],
            [
                0.9998204719913635,
                0.9997965730993071,
                0.9999869928653355,
                0.9999756997563743,
                0.9999251537727589,
                0.9914225135883824,
                0.9997965730751919,
                0.9993736657516785,
                0.9999251537995594,
                0.9999417087344762
            ],
            [
                0.9999952149060758,
                0.9999990577556308,
                0.9999994956525318,
                0.9999992661788445,
                0.9999996533672549,
                0.9999986290427932,
                0.9999998874648782,
                0.9999977396748939,
                0.9999987901337396,
                0.999999352405279
            ],
            [
                0.999876605425082,
                0.9999921107383567,
                0.9993736658219973,
                0.9998766053663363,
                0.9999599362934934,
                0.9991959140489378,
                0.999891103038858,
                0.9992903297219292,
                0.9975273763173257,
                0.9999687980737538
            ],
            [
                3.4663274506357393e-07,
                9.422444814749625e-07,
                9.422450431260706e-07,
                5.043475885657239e-07,
                3.927863875492102e-07,
                9.422443692090534e-07,
                8.315278293687262e-07,
                2.699577774530648e-07,
                3.927862470816829e-07,
                8.315280275900177e-07
            ],
            [
                0.9999962733611601,
                0.999993855824666,
                0.999999730042126,
                0.9999998362622357,
                0.999999789756684,
                0.99999862904312,
                0.9999980052705163,
                0.9999998362623528,
                0.9999984465026159,
                0.9999996533675028
            ],
            [
                1.0677032518316716e-06,
                4.785095064601411e-06,
                5.043475885292571e-07,
                9.422445937974445e-07,
                4.785096774693134e-06,
                9.422448185015797e-07,
                3.7266383953679482e-06,
                1.670142383015595e-05,
                1.2098662603862553e-06,
                3.4663257978638593e-07
            ],
            [
                0.9999987901341724,
                0.9999998144608097,
                0.999999352405279,
                0.9999994956525917,
                0.9999997300421581,
                0.9999986290432835,
                0.999999855501979,
                0.9999994956523514,
                0.9999962733620488,
                0.9999998555019618
            ],
            [
                0.9999986290421394,
                0.9999962733616045,
                0.9999982396561573,
                0.9999987901343165,
                0.9999997300422547,
                0.9999982396567868,
                0.9999980052695652,
                0.9999997897565838,
                0.9999038975966046,
                0.9999980052700408
            ],
            [
                0.9999996940976272,
                0.9999986290427931,
                0.9999991684716749,
                0.9999992661790196,
                0.9999996072136125,
                0.9999974387171787,
                0.9999996533674202,
                0.9999994956525317,
                0.9999994284996211,
                0.9999982396569966
            ],
            [
                0.9999982396561573,
                0.9999990577557432,
                0.9999982396561572,
                0.9999898700090233,
                0.9999885212305073,
                0.9999945777790915,
                0.9999952149055056,
                0.9999997300422547,
                0.9999998362623722,
                0.9999986290429566
            ],
            [
                0.9999986290424663,
                0.9999986290424664,
                0.9999990577552937,
                0.9999998144609423,
                0.9999998874648245,
                0.9999970976880151,
                0.999998005270992,
                0.9999998874649051,
                0.9999980052707542,
                0.9999994956527121
            ],
            [
                0.9999984465024306,
                0.9999994956524114,
                0.9999998724809419,
                0.9999995549147889,
                0.9999984465026158,
                0.9999984465024306,
                0.9999974387177893,
                0.9999992661788446,
                0.9999995549148419,
                0.9999993524053562
            ],
            [
                0.999998239656367,
                0.9999957771660524,
                0.9999980052702786,
                0.9999997617629764,
                0.9999980052709919,
                0.9999910602994333,
                0.9999885212346115,
                0.9999945777790923,
                0.9999977396748939,
                0.9999885212277736
            ],
            [
                0.9999724643121868,
                0.9999998724809571,
                0.999999814460876,
                0.9999967112513272,
                0.9999996940978095,
                0.9999986290427931,
                0.9999995549147889,
                0.9999997897566089,
                0.9999997300422225,
                0.999999352404893
            ],
            [
                0.9999982396572064,
                0.999999554914895,
                0.9999982396559473,
                0.9999970976890529,
                0.9999990577555185,
                0.9999992661786695,
                0.9999957771665556,
                0.9999989322966208,
                0.9999991684719723,
                0.9999986290424663
            ],
            [
                0.9999997617630332,
                0.9999993524049703,
                0.999999352404893,
                0.9999977396765106,
                0.9999997617630049,
                0.9999991684719725,
                0.9999987901347491,
                0.9999997617630616,
                0.9999994284994849,
                0.99999893229713
            ],
            [
                1.5534984953199313e-06,
                4.2228344511197656e-06,
                1.5534983101478522e-06,
                2.144495351862222e-05,
                4.78509563535725e-06,
                1.3007131564383116e-05,
                6.1441753308083655e-06,
                1.6701419850845044e-05,
                5.144220750870732e-05,
                5.715003788801361e-07
            ],
            [
                0.9999984465020603,
                0.9999994956525918,
                0.9999921107374145,
                0.9999962733611603,
                0.999959936298269,
                0.9999977396759716,
                0.999998629042303,
                0.999998446502801,
                0.9999957771650453,
                0.9999989322966208
            ],
            [
                0.9999038975392132,
                0.9999957771645418,
                0.9999952149032236,
                0.8175744739711883,
                0.9999921107355337,
                0.9999982396565769,
                0.9999832985781584,
                0.9999885212291385,
                0.9998766054251449,
                0.9999977396765105
            ],
            [
                0.9999986290427931,
                0.99999976176309,
                0.9999996940976636,
                0.99999862904312,
                0.9999996072137529,
                0.9999993524052018,
                0.9999984465020603,
                0.9999996533672962,
                0.9999994284992805,
                0.9999995549147358
            ],
            [
                0.9999970976890528,
                0.9999977396757023,
                0.9999998144608983,
                0.9999990577554061,
                0.9999945777784447,
                0.9999992661792819,
                0.999999554914895,
                0.9999986290432834,
                0.9999910603058285,
                0.9999995549151073
            ],
            [
                0.9999938558268631,
                0.9999977396754327,
                0.999998005269803,
                0.9999991684722698,
                0.9999970976887068,
                0.999997438717484,
                0.999988521234612,
                0.9999967112505427,
                0.9999921107355341,
                0.9999952149055054
            ],
            [
                5.043472278255469e-07,
                1.5534977544932838e-06,
                1.9947294836483373e-06,
                5.04347287945184e-07,
                4.4508526417014975e-07,
                2.2603242977555607e-06,
                7.338211554591642e-07,
                3.0590229985296015e-07,
                9.422443690565135e-07,
                6.47594875389178e-07
            ],
            [
                0.9999996940978095,
                0.9999977396751634,
                0.999999814460876,
                0.9999996940978095,
                0.9999997617630616,
                0.9999995549150011,
                0.9999997300422225,
                0.99999976176309,
                0.9999998144609202,
                0.9999990577552939
            ],
            [
                1.209865827740176e-06,
                1.5534979397140412e-06,
                1.0129988556912918e-05,
                2.2603242978377903e-06,
                3.7266388395620047e-06,
                1.553498495308628e-06,
                1.9947306725868575e-06,
                2.430023203298187e-05,
                1.994729008056074e-06,
                6.144172404028807e-06
            ],
            [
                5.144223811518898e-05,
                6.962258739271155e-06,
                2.5612825159677387e-06,
                2.5612812946890944e-06,
                1.1478766756214804e-05,
                1.3007125360146898e-05,
                8.939698433584547e-06,
                2.2603234894560207e-06,
                1.0677031245710902e-06,
                3.2887498494282754e-06
            ],
            [
                0.9999921107402359,
                0.9999977396751633,
                0.9999987901337396,
                0.999999057755743,
                0.9999977396754327,
                0.9999910603026303,
                0.9999962733620489,
                0.9999962733620488,
                0.9999996533673375,
                0.9999984465020603
            ],
            [
                0.9999998144609202,
                0.9999992661786695,
                0.9999970976883611,
                0.9999982396574163,
                0.9999996072138465,
                0.9999992661786695,
                0.9999967112497589,
                0.9999980052705164,
                0.9999994956527721,
                0.9999994284994167
            ]
        ]
    },
    {
        "q_id": "10405_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999967112513274,
                0.9999977396762414,
                0.9999957771675633,
                0.9999974387165682,
                0.9999970976866314,
                0.9999974387180949,
                0.9999967112493667,
                0.9999957771645428,
                0.9999980052700409,
                0.9999967112497589
            ],
            [
                0.9999974387187054,
                0.9999982396572065,
                0.9999952149032243,
                0.9999980052705163,
                0.9999986290432834,
                0.9999945777816777,
                0.9999990577550691,
                0.9999987901337396,
                0.9999980052700408,
                0.9999982396569966
            ],
            [
                0.9999980052693275,
                0.9999962733607172,
                0.9999980052702792,
                0.9999977396757026,
                0.9999957771650468,
                0.9999982396574163,
                0.9999970976880153,
                0.9999982396563671,
                0.9999986290432835,
                0.9999980052695654
            ],
            [
                0.999998446502616,
                0.9999970976876692,
                0.9999982396572065,
                0.9999982396572065,
                0.9999967112493666,
                0.9999957771660526,
                0.9999967112521112,
                0.9999977396757024,
                0.9999974387184002,
                0.9999974387180948
            ],
            [
                0.9999982396569966,
                0.9999974387187056,
                0.999997739675433,
                0.9999982396561573,
                0.9999962733620495,
                0.9999977396757025,
                0.9999982396574163,
                0.9999977396751635,
                0.9999977396759719,
                0.9999980052700408
            ],
            [
                0.9999986290431201,
                0.9999977396754329,
                0.9999974387177896,
                0.9999982396567868,
                0.9999970976883615,
                0.9999984465015048,
                0.9999967112513275,
                0.9999984465018752,
                0.9999977396748939,
                0.9999993524054335
            ],
            [
                0.9999986290424664,
                0.999998790134028,
                0.9999984465020604,
                0.9999986290429567,
                0.9999982396561572,
                0.9999970976878758,
                0.999998790134028,
                0.9999982396563671,
                0.9999977396754329,
                0.9999990577555185
            ],
            [
                0.9999989322970028,
                0.999996711250543,
                0.9999986290424664,
                0.9999989322970027,
                0.9999977396754328,
                0.9999980052698031,
                0.9999967112521113,
                0.9999970976866313,
                0.9999990577556308,
                0.9999967112505435
            ],
            [
                0.9999986290432835,
                0.9999980052698031,
                0.999997438718095,
                0.9999977396765107,
                0.999998239656577,
                0.9999980052698031,
                0.9999970976873234,
                0.9999970976866311,
                0.9999974387165682,
                0.9999962733598279
            ],
            [
                0.9999990577549569,
                0.9999987901337396,
                0.9999991684719723,
                0.9999989322975119,
                0.9999992661792819,
                0.9999977396759717,
                0.9999986290432835,
                0.9999987901341724,
                0.9999980052695655,
                0.9999990577552939
            ],
            [
                0.9999982396572066,
                0.9999984465026159,
                0.9999986290423031,
                0.9999980052700409,
                0.9999984465026158,
                0.9999974387165682,
                0.999998239656577,
                0.9999987901346049,
                0.9999977396746247,
                0.9999977396751635
            ],
            [
                0.9999991684718733,
                0.9999952149066472,
                0.9999785550464785,
                0.9999938558268635,
                0.9999945777816771,
                0.9999970976880149,
                0.9999970976890528,
                0.9999957771650456,
                0.9999921107383574,
                0.9999938558254001
            ],
            [
                0.9999852610180351,
                0.9999898700078147,
                0.9999810748540323,
                0.9999885212277744,
                0.999964643745125,
                0.9999852610127643,
                0.9999756997534994,
                0.9999810748585377,
                0.9999756997679976,
                0.9999485577803114
            ],
            [
                0.9999980052702786,
                0.9999982396572065,
                0.9999967112493667,
                0.9999992661786696,
                0.999998790134605,
                0.9999980052695652,
                0.9999977396746245,
                0.9999982396572065,
                0.9999987901347492,
                0.9999984465024306
            ],
            [
                0.9999986290431201,
                0.9999990577555185,
                0.999998239656577,
                0.9999987901338839,
                0.9999987901343165,
                0.9999980052700409,
                0.9999984465015047,
                0.999999266178757,
                0.9999982396563671,
                0.9999984465024306
            ],
            [
                0.9999980052702786,
                0.9999982396559474,
                0.9999989322970028,
                0.9999977396765106,
                0.9999987901346049,
                0.9999989322973846,
                0.9999984465028011,
                0.9999977396765105,
                0.9999977396754328,
                0.9999986290427932
            ],
            [
                0.9999957771655493,
                0.9999974387171787,
                0.999996273360273,
                0.9999957771680665,
                0.9999980052698033,
                0.9999974387168735,
                0.9999952149066473,
                0.999996711250935,
                0.999997438718095,
                0.9999980052702786
            ],
            [
                0.9999970976876693,
                0.9999974387168735,
                0.9999970976890532,
                0.9999991684721706,
                0.9999957771680672,
                0.9999974387171788,
                0.9999977396746246,
                0.9999989322968755,
                0.9999974387174844,
                0.9999945777816781
            ],
            [
                0.9999982396567868,
                0.9999982396567868,
                0.999998932296621,
                0.999999352405279,
                0.9999989322970028,
                0.9999991684722698,
                0.9999989322966208,
                0.9999994284996893,
                0.9999993524053563,
                0.9999991684720715
            ],
            [
                0.9999957771660526,
                0.9999974387168735,
                0.9999989322968755,
                0.9999990577556307,
                0.9999984465020603,
                0.9999989322970028,
                0.9999982396572065,
                0.9999987901341724,
                0.9999980052695653,
                0.9999977396759717
            ],
            [
                0.999997739675972,
                0.999998005270041,
                0.9999977396762415,
                0.9999990577552937,
                0.9999984465022455,
                0.9999977396765107,
                0.9999989322970027,
                0.9999967112505428,
                0.999995777165046,
                0.9999987901344608
            ],
            [
                0.9999990577555185,
                0.9999986290423031,
                0.9999986290431201,
                0.9999970976890532,
                0.999996711251327,
                0.9999989322975119,
                0.9999986290421395,
                0.9999967112493668,
                0.9999980052709919,
                0.9999987901337396
            ],
            [
                0.999983298572192,
                0.9999852610127639,
                0.9999756997563826,
                0.9999852610162773,
                0.9999930377420914,
                0.9999852610145165,
                0.9999852610162758,
                0.9999810748585347,
                0.9999832985761757,
                0.9999832985781646
            ],
            [
                0.9999980052705166,
                0.9999982396561572,
                0.9999952149037944,
                0.9999984465022455,
                0.9999989322971301,
                0.9999962733620491,
                0.9999991684717742,
                0.9999970976880149,
                0.9999974387171788,
                0.9999984465026159
            ],
            [
                NaN,
                0.9999962733611607,
                0.9999945777823236,
                0.9999938558246676,
                0.9999885212291459,
                0.9999485577864191,
                0.999948557798623,
                0.9999930377454109,
                0.9999952149066466,
                0.9999898700078154
            ],
            [
                0.9999962733611605,
                0.9999980052700408,
                0.9999987901343165,
                0.9999993524051246,
                0.9999987901338839,
                0.9999992661787571,
                0.9999986290421395,
                0.9999984465016899,
                0.9999989322973845,
                0.9999982396574163
            ],
            [
                0.999998629042303,
                0.9999945777790924,
                0.999998239656577,
                0.9999982396559474,
                0.999994577779739,
                0.9999938558254007,
                0.999993037742922,
                0.9999938558275969,
                0.999997438717484,
                0.9999974387187054
            ],
            [
                0.999999428499553,
                0.9999990577550691,
                0.9999993524050474,
                0.9999987901341723,
                0.9999996940976272,
                0.9999989322968754,
                0.9999982396574163,
                0.9999993524051246,
                0.9999984465016899,
                0.9999980052705166
            ],
            [
                0.9999977396765106,
                0.9999980052698031,
                0.9999989322968754,
                0.9999993524054335,
                0.9999986290424664,
                0.999997739675433,
                0.9999982396567868,
                0.9999986290423029,
                0.9999987901344608,
                0.9999980052702786
            ],
            [
                0.9999986290424664,
                0.9999967112513272,
                0.9999957771650463,
                0.9999982396569966,
                0.9999989322975119,
                0.99999893229713,
                0.9999980052705164,
                0.9999987901346049,
                0.9999970976866314,
                0.9999967112505433
            ],
            [
                0.9999980052695652,
                0.9999984465016899,
                0.9999967112521111,
                0.9999982396572065,
                0.9999986290429567,
                0.9999977396762412,
                0.9999967112505428,
                0.9999977396762411,
                0.9999974387171788,
                0.9999974387177895
            ],
            [
                0.9999970976866315,
                0.9999990577549568,
                0.9999980052693276,
                0.9999982396574163,
                0.9999989322967482,
                0.9999982396567868,
                0.9999982396569967,
                0.9999986290431201,
                0.9999986290424665,
                0.9999957771670601
            ],
            [
                0.9999990577549568,
                0.9999970976880153,
                0.9999986290432835,
                0.9999986290427932,
                0.9999984465022456,
                0.9999982396567867,
                0.9999986290429567,
                0.9999991684718732,
                0.99999893229713,
                0.9999980052693275
            ],
            [
                0.9999993524051246,
                0.9999987901337397,
                0.9999990577550693,
                0.9999986290424663,
                0.9999992661788445,
                0.9999992661786696,
                0.9999989322975118,
                0.9999986290427931,
                0.9999996533674202,
                0.9999991684722698
            ],
            [
                0.9999974387165681,
                0.9999984465016899,
                0.9999977396746246,
                0.9999989322970027,
                0.9999970976876695,
                0.9999974387177897,
                0.9999980052698031,
                0.9999986290423029,
                0.9999982396569966,
                0.9999967112497585
            ],
            [
                0.9999980052707541,
                0.9999982396574163,
                0.9999970976869771,
                0.9999982396574163,
                0.99999862904312,
                0.9999984465024307,
                0.9999980052695652,
                0.9999990577550691,
                0.9999986290432834,
                0.9999980052705164
            ],
            [
                0.9999984465024306,
                0.9999987901337397,
                0.9999970976887073,
                0.9999962733611614,
                0.999997739674894,
                0.9999970976890532,
                0.9999967112493667,
                0.9999991684720715,
                0.999998239656367,
                0.9999938558254017
            ],
            [
                0.9999977396762413,
                0.9999986290431201,
                0.9999984465015047,
                0.999999352405279,
                0.9999982396561572,
                0.9999980052693276,
                0.9999974387184001,
                0.9999984465018751,
                0.999997097689053,
                0.9999970976869772
            ],
            [
                0.9999977396746245,
                0.9999989322968754,
                0.9999984465024306,
                0.9999962733607161,
                0.9999984465024306,
                0.9999977396746245,
                0.9999977396765105,
                0.9999982396565769,
                0.9999957771680659,
                0.9999977396757023
            ],
            [
                0.9999977396754329,
                0.9999992661788446,
                0.9999980052700409,
                0.9999986290429567,
                0.9999980052702787,
                0.9999980052702786,
                0.9999984465028011,
                0.9999991684719723,
                0.9999970976890534,
                0.9999982396572065
            ],
            [
                0.9999967112509347,
                0.9999970976869772,
                0.9999957771660528,
                0.9999974387180947,
                0.9999962733589393,
                0.9999992661786696,
                0.9999967112517197,
                0.9999984465018752,
                0.9999970976890529,
                0.9999974387177895
            ],
            [
                0.9999984465028012,
                0.9999952149072174,
                0.9999952149049358,
                0.9999984465015047,
                0.9999986290431201,
                0.9999980052695654,
                0.9999974387168735,
                0.9999967112501509,
                0.9999970976890532,
                0.9999970976876693
            ],
            [
                0.9999962733589393,
                0.9999938558224702,
                0.9999938558246672,
                0.9999945777823239,
                0.9999974387174844,
                0.9999974387177895,
                0.999997438717179,
                0.9999938558254,
                0.9999977396754329,
                0.9999957771650465
            ],
            [
                0.9999994956526519,
                0.999998790134028,
                0.9999986290426297,
                0.9999984465022456,
                0.9999982396572065,
                0.9999982396561572,
                0.9999980052705164,
                0.9999992661789321,
                0.9999982396559475,
                0.9999986290426298
            ],
            [
                0.9999986290432835,
                0.9999977396765107,
                0.9999982396561572,
                0.9999987901347491,
                0.9999984465018751,
                0.9999974387165681,
                0.9999995549147359,
                0.9999980052709921,
                0.9999945777803845,
                0.9999992661791944
            ],
            [
                0.9999984465022455,
                0.9999987901338838,
                0.9999970976890531,
                0.999996711250935,
                0.999998239656577,
                0.9999982396569966,
                0.999997097686977,
                0.9999982396561573,
                0.9999982396569966,
                0.9999980052709921
            ],
            [
                0.999995777164543,
                0.9999977396751633,
                0.9999977396759716,
                0.9999938558224697,
                0.9999970976883611,
                0.9999952149055059,
                0.999994577781678,
                0.9999938558268646,
                0.999999168471675,
                0.9999945777823244
            ],
            [
                0.9999980052709919,
                0.9999980052695653,
                0.999998239656787,
                0.99999893229713,
                0.9999977396751636,
                0.9999974387168735,
                0.999997739674894,
                0.9999990577552939,
                0.9999970976876693,
                0.999996273362049
            ],
            [
                0.9999945777810311,
                0.9999962733611603,
                0.9999952149066461,
                0.9999921107345937,
                0.9999885212264054,
                0.9999938558275958,
                0.9999952149037942,
                0.9999921107336528,
                0.999993855824666,
                0.9999869928699887
            ],
            [
                0.999998005270992,
                0.9999957771645426,
                0.9999982396569966,
                0.9999982396563672,
                0.9999967112509354,
                0.9999986290432835,
                0.999996711249367,
                0.9999970976880154,
                0.9999989322972573,
                0.999998239656367
            ],
            [
                0.9999987901337396,
                0.9999974387180949,
                0.9999987901337396,
                0.9999977396762412,
                0.9999970976887069,
                0.9999980052705165,
                0.9999984465020604,
                0.9999984465015048,
                0.999997438717484,
                0.9999970976866313
            ],
            [
                0.9999987901347492,
                0.9999990577549568,
                0.9999967112505429,
                0.9999974387171789,
                0.9999984465015047,
                0.9999980052693275,
                0.9999962733607166,
                0.9999967112497591,
                0.999998446502616,
                0.9999987901344607
            ],
            [
                0.9999989322973846,
                0.9999986290424663,
                0.9999991684715759,
                0.9999990577556309,
                0.9999984465020604,
                0.99999844650169,
                0.9999980052698031,
                0.9999989322970028,
                0.9999974387180952,
                0.9999984465024306
            ],
            [
                0.999996273360717,
                0.9999962733589393,
                0.9999970976887076,
                0.9999970976880153,
                0.9999982396567867,
                0.9999977396748941,
                0.9999977396757024,
                0.9999984465028011,
                0.9999967112497594,
                0.9999984465018751
            ],
            [
                0.9999980052702787,
                0.9999982396563671,
                0.9999989322968754,
                0.9999980052702788,
                0.9999967112509353,
                0.9999991684716749,
                0.9999982396569966,
                0.9999967112493667,
                0.9999977396754329,
                0.9999967112521111
            ],
            [
                0.999997739674894,
                0.999996711250935,
                0.9999987901343165,
                0.9999984465022455,
                0.9999977396765107,
                0.9999967112493672,
                0.9999952149032244,
                0.999997438718095,
                0.9999977396754328,
                0.999995214906647
            ],
            [
                0.9999962733611605,
                0.9999970976869771,
                0.9999984465016899,
                0.9999992661786696,
                0.9999977396765106,
                0.9999980052693275,
                0.9999990577551815,
                0.9999977396751633,
                0.9999974387165681,
                0.9999986290421395
            ],
            [
                0.9999991684715759,
                0.9999984465024309,
                0.999997097686977,
                0.9999974387168734,
                0.9999982396569966,
                0.9999852610162746,
                0.9999989322973846,
                0.9999984465016899,
                0.9999980052698031,
                0.9999974387184001
            ],
            [
                0.9999967112493667,
                0.9999982396572065,
                0.9999982396574163,
                0.9999977396746245,
                0.9999982396561572,
                0.9999977396762412,
                0.9999986290427932,
                0.999993855823202,
                0.9999967112513269,
                0.9999987901341723
            ],
            [
                0.9999952149049361,
                0.9999982396569966,
                0.999996711251719,
                0.999998005270992,
                0.9999982396567868,
                0.999996711251327,
                0.9999967112509351,
                0.9999974387177895,
                0.9999974387165683,
                0.9999989322967482
            ],
            [
                0.9999974387168735,
                0.999998005270992,
                0.9999977396754329,
                0.9999974387177895,
                0.9999990577551815,
                0.99999844650169,
                0.9999990577554061,
                0.9999980052695652,
                0.9999980052709919,
                0.9999990577550691
            ],
            [
                0.9999967112517193,
                0.9999970976890532,
                0.9999967112505429,
                0.9999982396574163,
                0.9999977396765105,
                0.9999970976883611,
                0.9999974387165682,
                0.9999977396765107,
                0.9999977396754328,
                0.999996711252111
            ],
            [
                0.9999986290431202,
                0.9999977396762413,
                0.9999982396563671,
                0.9999991684721706,
                0.999997438717179,
                0.9999984465018751,
                0.9999992661788446,
                0.9999987901338839,
                0.9999974387180949,
                0.9999982396567868
            ],
            [
                0.9999982396574164,
                0.9999995549151073,
                0.9999987901347492,
                0.9999982396574163,
                0.9999970976883614,
                0.9999980052693275,
                0.9999989322973846,
                0.9999970976876694,
                0.9999982396574164,
                0.9999974387174841
            ],
            [
                0.9999967112497591,
                0.9999980052693276,
                0.9999980052707543,
                0.9999990577555185,
                0.9999967112517191,
                0.9999982396563671,
                0.9999987901344608,
                0.9999984465028012,
                0.9999980052693277,
                0.9999977396751634
            ],
            [
                0.9999982396559475,
                0.9999987901344607,
                0.9999980052698032,
                0.9999987901341723,
                0.9999984465022455,
                0.9999982396561572,
                0.9999982396559474,
                0.9999982396569966,
                0.9999986290431201,
                0.99999893229713
            ],
            [
                0.9999970976866309,
                0.9999952149055059,
                0.9999930377404322,
                0.999994577782324,
                0.9999945777784456,
                0.999995777166556,
                0.9999952149032241,
                0.999998005270992,
                0.9999957771655494,
                0.9999957771645426
            ],
            [
                0.9999980052700409,
                0.9999987901346049,
                0.9999967112493672,
                0.9999962733616049,
                0.9999987901337396,
                0.9999977396751634,
                0.9999962733611614,
                0.9999977396762413,
                0.9999984465018752,
                0.9999974387187054
            ],
            [
                0.9999991684716749,
                0.9999986290423029,
                0.9999974387174841,
                0.9999980052707543,
                0.9999984465026159,
                0.9999977396762414,
                0.9999980052709919,
                0.9999989322970028,
                0.9999990577549568,
                0.9999980052695652
            ],
            [
                0.999997438717484,
                0.9999967112505431,
                0.9999957771660526,
                0.9999980052693275,
                0.999996273359384,
                0.9999984465024306,
                0.9999970976890534,
                0.9999990577556307,
                0.9999980052709919,
                0.9999977396765105
            ],
            [
                0.9999980052700409,
                0.9999984465020603,
                0.9999982396561573,
                0.9999967112513275,
                0.9999982396561574,
                0.9999974387171789,
                0.9999974387177897,
                0.9999982396559475,
                0.9999967112517193,
                0.999998239656577
            ],
            [
                0.9999990577551815,
                0.9999977396751635,
                0.9999982396572065,
                0.9999982396574164,
                0.999998629042303,
                0.9999962733607165,
                0.9999986290423029,
                0.9999977396757023,
                0.999999266178932,
                0.9999987901346049
            ],
            [
                0.9999990577549568,
                0.9999974387187054,
                0.9999952149072173,
                0.9999967112513268,
                0.9999982396572065,
                0.9999957771655493,
                0.9999986290426298,
                0.9999967112513272,
                0.9999992661790195,
                0.9999993524051246
            ],
            [
                0.9999977396746245,
                0.9999982396563671,
                0.9999991684718733,
                0.9999974387168734,
                0.9999987901341724,
                0.9999984465024307,
                0.999998005269803,
                0.9999957771655489,
                0.9999980052695653,
                0.9999989322966208
            ],
            [
                0.999997739674894,
                0.9999984465022456,
                0.9999986290431201,
                0.9999984465015047,
                0.9999977396765105,
                0.9999986290421395,
                0.9999962733607166,
                0.9999970976887073,
                0.9999990577555185,
                0.9999977396757023
            ],
            [
                0.999997739674894,
                0.9999990577555185,
                0.9999991684719723,
                0.9999986290431202,
                0.9999989322968754,
                0.9999993524053563,
                0.9999991684717742,
                0.9999982396569966,
                0.999999266179107,
                0.9999982396572065
            ],
            [
                0.9999980052702788,
                0.999998629042303,
                0.9999992661790196,
                0.9999977396748944,
                0.9999984465028012,
                0.9999987901338839,
                0.9999994284996211,
                0.9999991684722698,
                0.9999982396561572,
                0.9999984465022456
            ],
            [
                0.9999967112517192,
                0.9999982396569966,
                0.9999982396565769,
                0.9999989322968754,
                0.9999974387171787,
                0.9999962733611607,
                0.9999945777810325,
                0.9999992661791945,
                0.9999987901343166,
                0.99999893229713
            ],
            [
                0.9999898700126454,
                0.999997438717484,
                0.9999938558224696,
                0.9999898700126454,
                0.9999938558239345,
                0.9999921107355351,
                0.9999952149037951,
                0.9999898700114392,
                0.9999921107392975,
                0.9999974387180947
            ],
            [
                0.9999970976873231,
                0.9999980052693275,
                0.9999992661786695,
                0.9999986290431201,
                0.9999982396559474,
                0.9999977396765106,
                0.9999977396759719,
                0.9999980052709921,
                0.9999982396567868,
                0.9999967112493668
            ],
            [
                0.9999991684720715,
                0.9999974387165682,
                0.9999984465020603,
                0.9999987901344608,
                0.9999982396574163,
                0.9999986290421395,
                0.9999980052695653,
                0.9999984465015047,
                0.9999991684720715,
                0.9999986290431201
            ],
            [
                0.9999970976880151,
                0.9999991684715759,
                0.9999986290421394,
                0.9999986290431201,
                0.9999974387168735,
                0.9999980052705165,
                0.9999994956526519,
                0.9999994956524716,
                0.9999994956525317,
                0.9999982396561573
            ],
            [
                0.9999977396759716,
                0.9999977396748939,
                0.9999982396561573,
                0.9999970976873231,
                0.9999987901347491,
                0.9999977396751634,
                0.9999986290426298,
                0.9999986290423029,
                0.999996711249367,
                0.9999952149066469
            ],
            [
                0.9999986290426297,
                0.9999974387187053,
                0.9999945777790917,
                0.9999957771655492,
                0.9999970976890533,
                0.99999862904312,
                0.9999945777829707,
                0.9999957771645431,
                0.9999962733598283,
                0.9999938558261338
            ],
            [
                0.9999977396765108,
                0.9999987901343166,
                0.9999970976890532,
                0.9999980052700409,
                0.9999962733616049,
                0.9999980052698032,
                0.9999977396757023,
                0.9999982396567868,
                0.9999982396574164,
                0.9999984465024307
            ],
            [
                0.9999986290431201,
                0.9999980052695653,
                0.9999984465015047,
                0.9999974387171788,
                0.999997739674894,
                0.9999967112513272,
                0.9999980052705165,
                0.9999992661786695,
                0.9999984465022456,
                0.9999989322970028
            ],
            [
                0.9999984465018751,
                0.9999989322970028,
                0.9999977396754329,
                0.9999982396572065,
                0.999997739674894,
                0.9999991684719723,
                0.9999980052709921,
                0.9999991684721706,
                0.9999974387168736,
                0.9999980052707542
            ],
            [
                0.99999862904312,
                0.9999980052702786,
                0.9999984465018751,
                0.999998239656367,
                0.9999980052695653,
                0.9999986290421395,
                0.9999991684721706,
                0.9999977396746245,
                0.9999986290424663,
                0.9999990577555185
            ],
            [
                0.9999984465022456,
                0.999998446502616,
                0.9999992661790195,
                0.9999987901343165,
                0.9999986290429567,
                0.9999967112493666,
                0.999998629042303,
                0.9999980052693275,
                0.9999982396559474,
                0.9999982396563671
            ],
            [
                0.9999990577549568,
                0.9999967112521111,
                0.999999057755743,
                0.9999986290424665,
                0.9999986290424663,
                0.9999994956527121,
                0.9999996072139402,
                0.9999990577549569,
                0.9999977396757024,
                0.9999987901347491
            ],
            [
                0.9999991684720715,
                0.9999952149043656,
                0.9999970976890533,
                0.9999994284993485,
                0.9999984465024306,
                0.999996711249367,
                0.9999977396765108,
                0.9999970976890529,
                0.9999974387184002,
                0.9999952149072172
            ],
            [
                0.9999952149043658,
                0.9999970976890532,
                0.99999893229713,
                0.9999957771650457,
                0.9999970976873235,
                0.9999962733620493,
                0.999995777165046,
                0.9999977396762413,
                0.9999962733607168,
                0.9999977396759717
            ],
            [
                0.9999852610110085,
                0.9999885212332451,
                0.9999977396759718,
                0.9999945777829701,
                0.9999957771665557,
                0.9999938558232014,
                0.9999970976887069,
                0.9999930377412616,
                0.9999938558261314,
                0.9999930377462418
            ],
            [
                0.9999962733589393,
                0.9999910602994436,
                0.9999921107355373,
                0.9999852610180362,
                0.9999945777803846,
                0.9999957771645421,
                0.9999910603068949,
                0.9999945777803847,
                0.9999852610162919,
                0.999992110738356
            ],
            [
                0.9999986290427932,
                0.9999977396759718,
                0.9999989322968754,
                0.9999970976887073,
                0.9999984465026159,
                0.9999977396757026,
                0.9999986290429567,
                0.9999962733598282,
                0.9999974387168737,
                0.9999967112501513
            ],
            [
                0.9999987901338839,
                0.9999984465024307,
                0.999998629042303,
                0.9999984465018751,
                0.9999990577557432,
                0.9999987901341723,
                0.9999990577556308,
                0.9999974387165681,
                0.9999982396569966,
                0.9999986290427932
            ],
            [
                0.9999962733611607,
                0.9999974387174841,
                0.9999984465026159,
                0.9999974387171787,
                0.999998239656367,
                0.999994577781031,
                0.9999982396569966,
                0.9999970976873231,
                0.9999967112493666,
                0.9999962733602722
            ],
            [
                0.9999974387187057,
                0.9999990577551814,
                0.9999977396748938,
                0.9999962733593838,
                0.9999993524049703,
                0.9999980052698031,
                0.999998790134028,
                0.9999974387184002,
                0.999996711249367,
                0.9999984465022455
            ],
            [
                0.9999977396765106,
                0.9999982396563671,
                0.9999991684718733,
                0.9999984465022456,
                0.999998005270992,
                0.9999989322970027,
                0.999998239656367,
                0.9999989322972573,
                0.9999945777829704,
                0.9999982396567868
            ],
            [
                0.9999989322970028,
                0.9999984465028011,
                0.9999980052705165,
                0.9999970976866314,
                0.9999989322970028,
                0.9999977396765107,
                0.999999168471675,
                0.9999986290421394,
                0.9999967112513272,
                0.9999989322968754
            ],
            [
                0.99999893229713,
                0.9999982396561572,
                0.9999990577552939,
                0.9999990577552937,
                0.9999989322971301,
                0.9999986290432835,
                0.9999989322970028,
                0.9999994956524114,
                0.9999984465020604,
                0.9999989322970028
            ],
            [
                0.9999930377445818,
                0.9999970976866309,
                0.9999970976883611,
                0.9999938558232018,
                0.9999982396574163,
                0.9999977396746246,
                0.9999977396746246,
                0.999997097688707,
                0.9999962733611607,
                0.9999962733607168
            ],
            [
                0.9999980052693275,
                0.999998629042303,
                0.9999982396572066,
                0.9999980052698033,
                0.9999986290432835,
                0.9999967112513273,
                0.9999984465016899,
                0.999997739674894,
                0.9999984465022456,
                0.9999967112501509
            ],
            [
                0.9999967112517192,
                0.9999967112501509,
                0.9999974387165682,
                0.9999957771670605,
                0.9999970976883611,
                0.9999980052702787,
                0.9999982396567868,
                0.9999982396574163,
                0.9999974387171789,
                0.999997438717484
            ],
            [
                0.9999990577555185,
                0.9999974387180948,
                0.9999977396748939,
                0.9999974387184002,
                0.9999974387180949,
                0.9999980052705164,
                0.9999990577554062,
                0.9999987901344608,
                0.999998005270041,
                0.9999986290429567
            ],
            [
                0.9999989322970028,
                0.999997097688361,
                0.9999980052693277,
                0.9999982396565771,
                0.9999970976883614,
                0.9999952149072178,
                0.9999980052695652,
                0.9999980052698031,
                0.9999986290432835,
                0.9999957771665566
            ],
            [
                0.9999982396567868,
                0.9999984465015048,
                0.9999984465018752,
                0.9999982396567868,
                0.9999982396574163,
                0.9999986290432836,
                0.9999989322973846,
                0.9999957771680668,
                0.999998790134028,
                0.9999977396757025
            ],
            [
                0.9999962733598279,
                0.9999991684722697,
                0.9999990577557432,
                0.9999984465016899,
                0.9999982396567868,
                0.9999974387187053,
                0.9999990577551814,
                0.9999992661792819,
                0.9999984465026159,
                0.9999974387180947
            ],
            [
                0.999997097686977,
                0.9999952149049356,
                0.9999974387180947,
                0.999994577781031,
                0.9999980052693274,
                0.9999869928668863,
                0.9999962733607161,
                0.9999962733602719,
                0.9999930377437513,
                0.9999974387177895
            ],
            [
                0.9999980052695654,
                0.9999989322975119,
                0.9999996533672549,
                0.9999977396754329,
                0.9999977396751636,
                0.9999982396559474,
                0.9999980052695654,
                0.9999991684715759,
                0.9999962733593838,
                0.999999266178757
            ],
            [
                0.9999984465020603,
                0.9999945777810312,
                0.999997097688707,
                0.999997097687669,
                0.9999984465022455,
                0.9999970976880153,
                0.9999984465028011,
                0.9999977396746244,
                0.9999990577552937,
                0.9999984465020603
            ],
            [
                0.9999982396574163,
                0.9999977396751634,
                0.9999986290427932,
                0.9999957771655492,
                0.9999977396754328,
                0.9999974387180949,
                0.9999945777816793,
                0.9999938558253997,
                0.9999982396565769,
                0.9999945777823237
            ],
            [
                0.9999974387177895,
                0.9999980052700409,
                0.9999984465028011,
                0.9999980052707543,
                0.9999990577555185,
                0.9999977396757023,
                0.9999984465018751,
                0.9999986290432835,
                0.9999977396748939,
                0.9999970976887069
            ],
            [
                0.9999992661790196,
                0.9999980052705165,
                0.9999974387180948,
                0.9999977396746246,
                0.9999987901343165,
                0.9999992661789321,
                0.9999957771655497,
                0.9999970976890532,
                0.9999986290432836,
                0.9999986290431201
            ],
            [
                0.9999984465028011,
                0.9999977396748941,
                0.9999991684717741,
                0.9999987901344607,
                0.9999974387171788,
                0.9999990577557432,
                0.999998790134028,
                0.9999962733616049,
                0.9999980052700408,
                0.9999984465026159
            ],
            [
                0.999998005270992,
                0.9999991684721706,
                0.9999970976890531,
                0.9999980052693277,
                0.9999987901344609,
                0.9999982396559475,
                0.9999977396754329,
                0.9999986290421395,
                0.9999982396572065,
                0.9999974387165683
            ],
            [
                0.9999982396567867,
                0.99999844650169,
                0.9999980052695653,
                0.9999984465026158,
                0.9999970976880151,
                0.9999977396762413,
                0.9999990577552939,
                0.9999974387174843,
                0.9999977396765106,
                0.9999980052709919
            ],
            [
                0.9999977396746246,
                0.9999980052709921,
                0.9999980052695653,
                0.9999984465024306,
                0.9999962733611608,
                0.9999982396567868,
                0.9999994284994167,
                0.9999991684720715,
                0.9999977396759717,
                0.9999974387180948
            ],
            [
                0.9999952149043648,
                0.9999984465018752,
                0.9999980052707543,
                0.999997438717484,
                0.999995214904365,
                0.9999974387168735,
                0.9999986290427931,
                0.9999974387165681,
                0.9999967112517191,
                0.9999977396762413
            ],
            [
                0.9999974387180947,
                0.9999952149072175,
                0.9999987901337397,
                0.9999993524049702,
                0.999997097688361,
                0.9999962733620493,
                0.9999952149060767,
                0.9999974387168736,
                0.9999957771680663,
                0.9999974387187056
            ],
            [
                0.9999990577549569,
                0.9999994284995529,
                0.9999989322968754,
                0.9999984465022456,
                0.9999982396567868,
                0.9999994284992804,
                0.9999977396759717,
                0.999998239656367,
                0.9999986290421394,
                0.9999974387168735
            ],
            [
                0.9999982396565769,
                0.9999993524054335,
                0.9999974387174843,
                0.9999990577554061,
                0.9999970976887071,
                0.9999986290421395,
                0.9999962733616049,
                0.9999980052693275,
                0.9999990577556308,
                0.9999984465020604
            ],
            [
                0.9998415637281342,
                0.9999417087554116,
                0.9991959140584313,
                0.9999151889588132,
                0.9997694931794261,
                0.9999339478791954,
                0.9999251537550827,
                0.9999038975395299,
                0.9999417087276563,
                0.9999339478790946
            ],
            [
                0.9999984465022456,
                0.9999974387187056,
                0.9999984465024307,
                0.9999986290431201,
                0.9999970976869771,
                0.9999977396754329,
                0.9999974387171789,
                0.9999977396754332,
                0.9999986290421395,
                0.9999994284994849
            ],
            [
                0.9999945777810317,
                0.9999977396757023,
                0.9999984465015047,
                0.9999970976887074,
                0.9999986290426298,
                0.9999974387165683,
                0.9999967112509351,
                0.9999982396561572,
                0.9999957771680663,
                0.9999952149032248
            ],
            [
                0.9999980052707542,
                0.999999168471675,
                0.9999970976869775,
                0.999998932296621,
                0.9999993524052018,
                0.99999844650169,
                0.9999990577552939,
                0.9999984465018753,
                0.9999984465022456,
                0.9999974387171795
            ],
            [
                0.999989870011438,
                0.9999945777816778,
                0.9999852610162815,
                0.9999977396754327,
                0.9999938558239352,
                0.9999930377412619,
                0.999992110733655,
                0.999997097687669,
                0.9999810748540273,
                0.9999957771655488
            ],
            [
                0.9999990577556308,
                0.9999970976880153,
                0.9999970976880155,
                0.9999962733602723,
                0.9999970976876692,
                0.9999962733602723,
                0.999998790134605,
                0.9999977396765107,
                0.9999977396751635,
                0.9999957771655498
            ]
        ]
    },
    {
        "q_id": "10772_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                5.715007195275709e-07,
                1.2098653950205268e-06,
                1.4738988993532872e-05,
                1.067703251769523e-06,
                1.0677032518413822e-06,
                4.539787397134796e-05,
                5.422220257500272e-06,
                1.892514823426434e-05,
                6.144172404028807e-06,
                1.5534983100765009e-06
            ],
            [
                0.9840936054016728,
                0.9840936099501164,
                0.0006263343043579688,
                0.997817283587616,
                0.9669140206578809,
                2.7535688312987034e-05,
                0.0006263340093833527,
                0.991422513129029,
                0.9399133479324787,
                0.9959298630693418
            ],
            [
                3.5356242262551455e-05,
                4.006368260814213e-05,
                0.00015843629182882881,
                1.4738976699749503e-05,
                5.144221974590828e-05,
                2.4300243612265703e-05,
                2.430023492769181e-05,
                5.82912445736154e-05,
                0.00012339453028597998,
                0.0001584362919971074
            ],
            [
                0.37754066879814546,
                0.9241418215456967,
                0.9978172840014046,
                0.995390427192464,
                0.9399133477220883,
                0.9933071479519604,
                0.999088948952677,
                0.985936371161768,
                0.9669140236373025,
                0.9914225145942079
            ],
            [
                1.3007133111929193e-05,
                6.605214453603606e-05,
                0.00012339455946311289,
                1.4738981971250963e-05,
                3.120192622962497e-05,
                0.00023050663138047737,
                2.7535700934898458e-05,
                5.829127932776453e-05,
                4.5397890231261374e-05,
                4.539785776395774e-05
            ],
            [
                0.9914225163365825,
                0.9149009578933863,
                0.00013982214017019991,
                0.00033535018765050364,
                0.000158436215866046,
                0.0003799844768449481,
                1.6701425820540864e-05,
                0.9914225130815096,
                7.484620933559467e-05,
                0.00012339461882462246
            ],
            [
                0.9626731133251858,
                0.9740426406358642,
                0.8807970826714614,
                0.8519528000888386,
                0.9626731161363099,
                0.9890130558817719,
                0.962673113726775,
                5.144220746828593e-05,
                0.9740426456749568,
                0.9796676479930108
            ],
            [
                0.0002959570266115192,
                0.9875683513878671,
                0.0010322308009894758,
                0.00012339457458581518,
                0.9399133540338004,
                0.0019267343655813738,
                2.7535704217219437e-05,
                3.5356250694926364e-05,
                0.0013250227319343301,
                6.605216819020694e-05
            ],
            [
                7.889265405849647e-06,
                7.88926352407059e-06,
                6.605216027536722e-05,
                0.9959298614818775,
                7.8892625849535e-06,
                5.1442225844299154e-05,
                0.9993736657557956,
                7.889265405146477e-06,
                1.3007130013856124e-05,
                0.9947798741541
            ],
            [
                6.962256249517824e-06,
                0.9999832985721876,
                0.0003353501863431056,
                2.430023492769181e-05,
                2.7535684522397864e-05,
                0.9999151889283845,
                9.610239191997185e-05,
                9.61024604575076e-05,
                0.9999599363221504,
                4.5397890257685224e-05
            ],
            [
                8.939698433145498e-06,
                0.00029595702546626507,
                0.00020342692402384427,
                0.00037998447455660423,
                5.144221971259806e-05,
                7.484620932198124e-05,
                8.939694169835089e-06,
                0.00015843617848977924,
                7.484621813204729e-05,
                0.000123394574531953
            ],
            [
                4.0063696893922756e-05,
                3.120191507776674e-05,
                0.9669140197044659,
                5.829125848875895e-05,
                0.002472623661426019,
                0.0003353500287919193,
                0.5926665999540698,
                2.4300249411766472e-05,
                0.00029595702438128737,
                1.4738980213341866e-05
            ],
            [
                9.610240329616323e-05,
                6.605213671635022e-05,
                0.00029595723720920466,
                1.1478773596575768e-05,
                2.4300232032009452e-05,
                0.00013982213983045587,
                5.829129323316207e-05,
                1.012999460150437e-05,
                5.422217676299034e-06,
                7.48462538068627e-05
            ],
            [
                3.726639727994339e-06,
                9.610240322624624e-05,
                1.0129995807699706e-05,
                1.8925141467059383e-05,
                4.222834953082369e-06,
                2.4300252296223892e-05,
                8.481101074748604e-05,
                1.012998856312253e-05,
                1.0129993393319151e-05,
                0.005220126020004785
            ],
            [
                2.75357009372024e-05,
                2.7535687806920664e-05,
                6.605215253545261e-05,
                5.829126552373023e-05,
                1.3007128463069061e-05,
                1.30071253611406e-05,
                4.5397863211726375e-05,
                9.610243775685123e-05,
                8.939697366793286e-06,
                8.481105139057794e-05
            ],
            [
                0.7981867753392728,
                0.0007096705314821569,
                0.0007096703643437226,
                0.9947798736728938,
                0.7772998560157665,
                0.001700722034312603,
                0.009708477036618484,
                0.7057850278370111,
                0.9149009544128984,
                0.798186768138228
            ],
            [
                0.9940889320138949,
                0.4378234991142019,
                0.9991959140032004,
                0.9890130576831258,
                0.8670357598021708,
                0.9947798735278065,
                0.974042643226052,
                0.9770226299645285,
                0.9525741221101401,
                0.9149009526726545
            ],
            [
                1.0129990979031306e-05,
                7.484625389780046e-05,
                4.222833443046859e-06,
                6.1441767989541075e-06,
                0.9997694933413285,
                5.8291258498513246e-05,
                0.9982992777891829,
                4.0063687394553603e-05,
                2.430024072648329e-05,
                0.000379984567129523
            ],
            [
                0.9914225145942079,
                0.9982992772976188,
                0.9997965730028551,
                0.990291521799369,
                0.9924227577096449,
                0.977022629588191,
                0.9997040427600956,
                0.993307149558651,
                0.9840936077342082,
                0.999088948791877
            ],
            [
                0.00033535018598210753,
                0.00012339461870253485,
                7.484623611811155e-05,
                0.00669285227712452,
                0.6791786861878392,
                0.0028009267362591483,
                0.002800926399396012,
                0.984093610649877,
                2.4300252313904224e-05,
                0.9997040429375756
            ],
            [
                0.9579122683296282,
                0.9859363749325308,
                0.00015843615865366738,
                0.9875683499471902,
                0.9820137923737625,
                0.9796676448764484,
                2.144495094975719e-05,
                0.9840936091045726,
                0.8354835350552603,
                0.8519527963298946
            ],
            [
                0.9820137902682039,
                0.9940889310671402,
                0.9859363750487529,
                2.902311984250272e-06,
                0.8807970889295664,
                1.1478772229300848e-05,
                0.9964063981555654,
                0.9933071499703847,
                0.924141814233309,
                0.9933071475711841
            ],
            [
                0.9997388097535417,
                0.9999151889789265,
                0.9996646497705518,
                0.9796676465831374,
                0.9964063967599616,
                0.9465966690702636,
                0.9995694428673085,
                0.9997040429054052,
                0.9990889486151826,
                0.8354835309589074
            ],
            [
                8.93969417199781e-06,
                3.535626332895835e-05,
                3.1201915071864306e-05,
                2.430023782328611e-05,
                1.1478773595009805e-05,
                7.889262584666493e-06,
                0.00012339463351284362,
                6.60521288207367e-05,
                5.829125856000775e-05,
                5.422219615967477e-06
            ],
            [
                8.939697368110433e-06,
                0.002182716733374598,
                0.9968273174712017,
                0.00017952790142938994,
                3.120191880379252e-05,
                6.605215250037168e-05,
                0.00023050676774215176,
                0.000552778529354547,
                0.0001584362919141207,
                0.0004305570851448818
            ],
            [
                7.889261644358435e-06,
                1.760342793583908e-06,
                1.4738981964843453e-05,
                4.4508526417014975e-07,
                7.889261644760245e-06,
                2.902311985079115e-06,
                3.4663270374490014e-07,
                3.2887506334201674e-06,
                2.260324028255194e-06,
                1.8925141457627214e-05
            ],
            [
                3.9278610661366994e-07,
                8.9396941718352e-06,
                4.4508521110762794e-07,
                1.6701419852090592e-05,
                4.785096205830278e-06,
                4.785095064819011e-06,
                4.450849458179853e-07,
                3.059023363231725e-07,
                5.422217030362759e-06,
                5.422220261070644e-06
            ],
            [
                0.00043055713349318,
                0.0004305571350713888,
                4.222833947820683e-06,
                0.00857748685513124,
                5.8291279387562654e-05,
                7.48462539462643e-05,
                2.144495351862222e-05,
                0.00023050668619744495,
                1.1478766755985128e-05,
                0.00015843619764816923
            ],
            [
                3.726641060658489e-06,
                4.0063687394553603e-05,
                3.288749065029781e-06,
                1.1478766753082876e-05,
                2.144495096723246e-05,
                1.1478768124783601e-05,
                8.939697368305565e-06,
                1.012999460150437e-05,
                2.902311984873224e-06,
                2.5612834319655406e-06
            ],
            [
                5.8291265478351516e-05,
                2.430025230532926e-05,
                4.5397890221682726e-05,
                1.4738978456049602e-05,
                4.5397884790260616e-05,
                0.9399133458285746,
                0.0002034269725502577,
                0.025957355926250127,
                4.006370163238581e-05,
                0.9986749777380677
            ],
            [
                2.5612812938202033e-06,
                3.288750633025344e-06,
                1.3007133107008012e-05,
                6.475951069896949e-07,
                1.8925143725892257e-05,
                2.2603234888763e-06,
                2.5612825159421147e-06,
                9.422447061876404e-07,
                1.8925143723000643e-05,
                1.994729959019382e-06
            ],
            [
                0.9933071489952258,
                0.9924227586060783,
                4.22283545795623e-06,
                0.9669140214921189,
                0.7310585727705126,
                0.9902915212442244,
                0.9706877711035697,
                0.9959298614988659,
                0.9241418236349501,
                0.9988304896235689
            ],
            [
                7.484620035127781e-05,
                0.00010889690917726991,
                0.0004878571146646799,
                0.0052201255339623925,
                0.9626731111833768,
                1.8925155003330605e-05,
                0.004609571758463068,
                4.539786317820113e-05,
                0.0001398221238421431,
                1.4738976695942536e-05
            ],
            [
                5.14422258772351e-05,
                0.9820137876691548,
                0.9994472213905395,
                0.9241418158002492,
                0.9914225159722678,
                0.9995121429423287,
                0.9924227593659455,
                0.9999251537639091,
                0.92414182363495,
                0.9997965729789262
            ],
            [
                6.605216036234875e-05,
                0.00015843625359501502,
                3.120190763922401e-05,
                0.0001584362907453913,
                3.120190018002454e-05,
                2.5612822106654943e-06,
                1.4738987241494252e-05,
                0.999704042797002,
                1.553498495295912e-06,
                0.9924227601048025
            ],
            [
                4.5397857775848465e-05,
                0.00010889692187534167,
                4.006369693691754e-05,
                0.00015843615910087313,
                0.5,
                1.6701427808495672e-05,
                9.61024489911165e-05,
                0.0001584362545309204,
                2.7535681227157105e-05,
                2.7535697630940815e-05
            ],
            [
                5.144223813015987e-05,
                1.4738978454950406e-05,
                0.00015843615952272183,
                2.144494329192304e-05,
                0.9399133439350607,
                0.00015843629159600502,
                8.481102090440075e-05,
                1.473898899742027e-05,
                1.0129990974240505e-05,
                2.1444945843077847e-05
            ],
            [
                6.605212089917383e-05,
                2.4300252310279753e-05,
                3.5356267535501495e-05,
                1.0129994598777299e-05,
                0.8519528038477825,
                0.00029595698611429986,
                2.753569436294514e-05,
                0.0013250224011921148,
                8.939693106329072e-06,
                4.2228344511197656e-06
            ],
            [
                1.300712380997554e-05,
                1.01299933920846e-05,
                2.144495607336692e-05,
                1.4738976696371488e-05,
                6.144174600985344e-06,
                8.939698433145498e-06,
                1.3709567164962755e-06,
                3.726640616670918e-06,
                6.144173867753695e-06,
                3.9278634072866033e-07
            ],
            [
                6.1441746017453204e-06,
                0.0005527787356491758,
                0.00017952794403904547,
                0.00023050668643219275,
                4.006370646383477e-05,
                4.006371125884805e-05,
                4.222835457733473e-06,
                3.120190020068305e-05,
                9.610243756248196e-05,
                1.6701425823457267e-05
            ],
            [
                1.0129987347678128e-05,
                1.0677024881140118e-06,
                6.962255419051463e-06,
                0.00020342699594925087,
                3.288749456964293e-06,
                1.5534979397140412e-06,
                2.902313368897403e-06,
                2.753569764256071e-05,
                0.8354835330070839,
                4.539787404186659e-05
            ],
            [
                0.9997040430097955,
                0.9046505370289057,
                0.9984988175523619,
                0.9964063972051542,
                0.9988304897988597,
                0.9968273171111245,
                0.9959298624200105,
                0.9997388095674719,
                0.9953904272736549,
                0.9579122759893238
            ],
            [
                1.670142980380249e-05,
                6.144176796221545e-06,
                1.7603438425882895e-06,
                1.0129994600638342e-05,
                1.760343213227212e-06,
                4.222833443968609e-06,
                1.3007125359413455e-05,
                1.147877222879974e-05,
                7.889266345770692e-06,
                1.0129989770441144e-05
            ],
            [
                0.00015843619710645076,
                1.1478773588745944e-05,
                7.338208055489796e-07,
                1.06770312455264e-06,
                0.966914022326357,
                1.1478764018576587e-05,
                2.3823696679040834e-07,
                7.889260704308795e-06,
                2.699577452733192e-07,
                1.670141586150995e-05
            ],
            [
                0.9324533051062237,
                0.9924227573279605,
                0.9241418189341297,
                0.962673116537899,
                0.9968273167805014,
                0.992422759474498,
                0.9706877682416838,
                0.9924227576851331,
                0.9953904279723247,
                0.9940889317895195
            ],
            [
                0.8670357615200474,
                1.3007126908733257e-05,
                0.9999417087345348,
                2.430023782328611e-05,
                4.006368734295987e-05,
                5.144222579414667e-05,
                0.0017007222803910747,
                0.9999687980960844,
                0.999991060299436,
                4.006369214729855e-05
            ],
            [
                1.8925141465820123e-05,
                0.9996646499338692,
                0.001169510332642391,
                0.9992903295418293,
                0.9875683491353803,
                0.9980732656183,
                0.8933094088947399,
                0.9890130572378473,
                0.9770226275810571,
                0.9980732654217429
            ],
            [
                5.829127229957719e-05,
                0.0066928504103915985,
                0.00033535026400646214,
                6.605212098759701e-05,
                1.3007131561047124e-05,
                0.00015843627179906717,
                7.484622717680992e-05,
                3.535623805331028e-05,
                1.8925155002710973e-05,
                3.120192623972722e-05
            ],
            [
                0.00017952790142938994,
                0.004070137723446493,
                8.4811050928423e-05,
                0.00015843629159600502,
                0.00012339458944639003,
                6.605215254025824e-05,
                5.144221966244559e-05,
                0.9875683503016426,
                4.006368738595465e-05,
                0.00015843615955038405
            ],
            [
                0.9980732657105341,
                0.9993736659738567,
                3.120191876474564e-05,
                0.9940889299042187,
                0.9982992777423391,
                0.7772998560157665,
                0.9980732651589204,
                0.982013793854233,
                0.9993736658321626,
                0.9953904279445489
            ],
            [
                0.00043055698201021405,
                0.9796676480672146,
                0.989013057015208,
                0.9933071479922052,
                0.9933071503109163,
                0.9626731134590489,
                0.9579122752383734,
                0.9859363705160893,
                0.9241418137109956,
                0.974042643508618
            ],
            [
                3.120191877428034e-05,
                0.9902915234468944,
                0.0006263340176904422,
                6.605215238984264e-05,
                0.03732688547004671,
                8.481102098831671e-05,
                0.8519528057272543,
                0.00017952805009698508,
                0.991422516233624,
                4.006371126992468e-05
            ],
            [
                5.04347648680129e-07,
                1.3709568799106278e-06,
                2.561282821176841e-06,
                8.939696302051047e-06,
                3.288750241473551e-06,
                1.760342793583908e-06,
                1.9947304345919157e-06,
                2.260325105911487e-06,
                3.7266401720529807e-06,
                1.1478773595343877e-05
            ],
            [
                0.9989677689956569,
                0.9980732655256181,
                0.8933094131553264,
                0.9626731161363099,
                0.00015843619638031758,
                0.9924227596075622,
                0.9984988180128628,
                0.9875683486551545,
                0.9990889486801384,
                0.9995694428625111
            ],
            [
                5.8291279382897555e-05,
                1.892514146884943e-05,
                2.7535687797204028e-05,
                2.9023119850210436e-06,
                5.422221554374162e-06,
                1.147876812538911e-05,
                2.43002436174814e-05,
                1.8925141464512013e-05,
                4.539787938592359e-05,
                1.6701415869924985e-05
            ],
            [
                0.9840936097460198,
                0.9770226323061845,
                0.9986749777215846,
                0.9914225157425912,
                0.9859363717816195,
                0.9902915246825383,
                0.7057850340255386,
                0.9840936079966184,
                0.9875683507818682,
                0.9859363751391478
            ],
            [
                0.9964063977637292,
                0.9964063967407867,
                0.9840936117286743,
                0.998498817583248,
                0.9975273766170992,
                0.9924227605180019,
                0.9953904274723592,
                0.9953904274723592,
                3.5356259096177054e-05,
                0.9984988179291037
            ],
            [
                6.962254589104433e-06,
                6.144175334094145e-06,
                4.222833444429485e-06,
                9.422450430566563e-07,
                4.785094494185095e-06,
                5.715005832676369e-07,
                4.4508489275145346e-07,
                4.450848927599543e-07,
                8.939699500164542e-06,
                1.7603425835749741e-06
            ],
            [
                0.9947798752809444,
                0.9993736657634469,
                0.97966764624922,
                0.9978172838675319,
                0.9964063975878198,
                0.9706877702026055,
                0.9820137894128207,
                0.9993736658988743,
                0.8807970826714614,
                0.9980732657615764
            ],
            [
                3.535623805331028e-05,
                1.6701419845073e-05,
                0.9241418236349501,
                4.006370166911356e-05,
                4.5397890268254766e-05,
                0.00015843617788812605,
                5.1442195113940765e-05,
                7.484620038721724e-05,
                6.962255419380732e-06,
                8.939700566143004e-06
            ],
            [
                0.002800926942409002,
                0.00033535006502829535,
                0.9953904288974745,
                0.0008040861143701574,
                0.5926665999540698,
                0.00023050668547308019,
                0.0013250224064297645,
                0.014063630181243606,
                0.02931222751848539,
                2.7535700936100516e-05
            ],
            [
                5.422218969463855e-06,
                2.56128159999123e-06,
                8.93969949587162e-06,
                4.222832434359693e-06,
                1.147876538716594e-05,
                6.96225956837018e-06,
                2.561282515783711e-06,
                4.22283193338827e-06,
                1.892515500388139e-05,
                1.0129988561906404e-05
            ],
            [
                0.000179527900998409,
                0.9994472212599773,
                0.9046505286741726,
                0.00043055708009711934,
                0.9796676463234238,
                0.0006263341400742877,
                0.991422514174454,
                0.9740426408713357,
                0.9770226310517259,
                0.9990889486637139
            ],
            [
                0.9940889306211257,
                0.9990889490066125,
                0.9990889487819165,
                0.999876605410471,
                0.952574130693245,
                0.9998766054252921,
                0.9994472214530228,
                0.9859363709034966,
                0.9840936075592681,
                0.9995121428843703
            ],
            [
                0.0002305067134818526,
                8.481106131796259e-05,
                2.1444943275617995e-05,
                0.9740426404945812,
                3.535626333809042e-05,
                9.610240330734994e-05,
                0.000709670501100853,
                6.605214462734262e-05,
                5.144221967591938e-05,
                4.7850950643402904e-06
            ],
            [
                0.9968273170610523,
                0.9947798732376318,
                0.9959298631033185,
                0.8519527963298947,
                0.9924227571353673,
                0.9875683514564708,
                0.9902915215217967,
                0.9959298623652703,
                0.9984988179634798,
                0.9840936048768523
            ],
            [
                0.9940889319482241,
                0.9953904282693128,
                0.9465966762263737,
                0.9924227571108555,
                0.817574471748733,
                0.9796676485495398,
                0.9820137930646488,
                0.9796676443570213,
                0.9964063978487661,
                0.9914225141823739
            ],
            [
                0.9902915226768554,
                0.9980732653693575,
                0.995390428765005,
                0.9241418215456967,
                0.9914225148555641,
                0.9914225134854239,
                0.9740426442621272,
                0.9964063978546018,
                0.9399133542441908,
                0.9740426414364677
            ],
            [
                1.4738978452886064e-05,
                0.00026119043252816905,
                0.8354835371034368,
                0.999088948882529,
                0.651354857898194,
                4.222835457664342e-06,
                5.1442201347440924e-05,
                0.9770226318462163,
                0.5621765008857982,
                0.00020342706960015957
            ],
            [
                7.88926164421493e-06,
                1.4738988997044936e-05,
                0.00015843615946278702,
                6.605216812244783e-05,
                0.99973880978964,
                1.4738987231065292e-05,
                5.4222176759932836e-06,
                5.829127243062412e-05,
                6.605216024316963e-05,
                1.6701429803316423e-05
            ],
            [
                4.006371122561817e-05,
                0.5,
                0.994779875152784,
                0.999088948902768,
                0.9579122765900843,
                0.9902915238319139,
                6.605212874576922e-05,
                0.993307147849801,
                0.9241418173671895,
                0.8807970826714614
            ],
            [
                0.9994472213273486,
                0.00023050665896669716,
                3.7266392835764795e-06,
                8.93970056350871e-06,
                1.892514146884943e-05,
                5.422219615829396e-06,
                3.12019113570763e-05,
                0.9990889488837477,
                4.00636778258121e-05,
                1.6701421841259862e-05
            ],
            [
                0.9991959141554247,
                0.9993736657737943,
                0.9971990731427822,
                0.9706877671817261,
                0.9968273173246672,
                0.5926665999540698,
                0.9465966702001758,
                0.9859363739769266,
                0.9986749775086895,
                0.9953904271710978
            ],
            [
                0.9953904271091363,
                0.9997388097534734,
                0.0002611903377528689,
                2.1444940733201126e-05,
                0.999620015427321,
                9.61024376687558e-05,
                1.1478772229050293e-05,
                6.60521445480501e-05,
                2.7535691088138193e-05,
                6.60521367274031e-05
            ],
            [
                0.9770226323479997,
                0.9959298626465214,
                0.9706877672347239,
                0.8670357580842941,
                0.9994472212630966,
                0.9820137907616941,
                0.7310585727705126,
                0.9046505254608135,
                0.9968273166899299,
                0.9579122717840008
            ],
            [
                0.006692852342135128,
                0.0002611904319429955,
                8.481103116559461e-05,
                0.0004305570318239799,
                0.43782349911420193,
                0.0004878572192566645,
                0.00017952802946734746,
                2.1444943297072005e-05,
                0.00033535026719690446,
                2.144494073796001e-05
            ],
            [
                0.00033535014687724853,
                0.0013250224081242982,
                3.535625912022914e-05,
                0.00017952798689685177,
                1.3007130009313495e-05,
                2.144494840687132e-05,
                1.3007131563507714e-05,
                0.00023050676864760805,
                0.0002611902756713041,
                1.0129992184268048e-05
            ],
            [
                0.999569442912563,
                4.0063682625048554e-05,
                0.00037998447124016374,
                0.004070137721558901,
                1.5534979396645902e-06,
                1.6701429800582296e-05,
                0.0001233945451573219,
                0.9890130585028429,
                9.610239162282471e-05,
                0.00015843627280412822
            ],
            [
                0.9740426404945812,
                0.9978172831900541,
                0.9914225135725426,
                0.9959298621727359,
                0.952574123793102,
                0.9964063976495131,
                0.8354835330070839,
                0.9982992774193734,
                0.9740426425196371,
                0.9914225130735898
            ],
            [
                4.7850939242083995e-06,
                1.4738985483128763e-05,
                0.00010889688292550859,
                0.00033534998475019033,
                2.1444948401176257e-05,
                8.481107133481769e-05,
                6.605217610793098e-05,
                0.0003353501449161516,
                0.00026119027596769055,
                5.144222586675549e-05
            ],
            [
                0.6224593312018546,
                0.9046505395995927,
                0.952574123793102,
                0.9964063977245456,
                0.979667644579633,
                0.984093608696379,
                0.5,
                0.9964063979046235,
                0.9975273767497578,
                0.8354835330070839
            ],
            [
                0.9993736657618073,
                0.9796676448764483,
                0.9940889313845493,
                0.9933071490385662,
                0.9399133521402868,
                0.9820137882284439,
                0.9984988176661348,
                0.04742587738497126,
                0.8519528076067262,
                0.9796676480672146
            ],
            [
                0.9890130577539655,
                0.6224593312018546,
                0.9820137912222852,
                0.4687906266262437,
                0.0002034270687152238,
                0.9241418231126367,
                0.9947798737889637,
                0.9820137924395611,
                0.9149009642742805,
                0.9525741283370988
            ],
            [
                0.9241418215456966,
                0.9465966747198242,
                0.9953904270899069,
                0.9984988177155177,
                0.9840936082590286,
                0.966914021492119,
                0.9902915232051379,
                0.9964063976353403,
                0.9953904288825183,
                0.984093605372516
            ],
            [
                0.9820137860899856,
                2.7535687791694597e-05,
                0.9914225144754096,
                0.9840936068595074,
                0.9770226301317896,
                0.97068777184554,
                0.9770226274974265,
                0.9324533027598817,
                0.7057850340255386,
                0.9579122743372328
            ],
            [
                1.3007134663876127e-05,
                2.2603242978213447e-06,
                8.481106134696298e-05,
                2.1444953520884646e-05,
                0.9994472212715543,
                2.14449535222109e-05,
                2.7535684521195802e-05,
                0.0001398221068203595,
                0.8519528038477825,
                3.288749065077638e-06
            ],
            [
                0.9924227591453388,
                0.6791786861878392,
                0.9953904280342862,
                0.9989677690966134,
                0.9980732649480354,
                0.998674977402242,
                4.785096204285318e-06,
                0.9525741248028791,
                0.9975273769806179,
                0.9933071487011303
            ],
            [
                1.3709573701812335e-06,
                6.605215243309315e-05,
                3.2887486732000038e-06,
                6.962256247478891e-06,
                5.144223198722914e-05,
                1.6701429790860943e-05,
                8.93970056529743e-06,
                0.0001398220361556687,
                3.120192617525444e-05,
                1.6701415858775822e-05
            ],
            [
                1.5534975693488444e-06,
                1.7603436328994344e-06,
                1.5534975693488444e-06,
                1.0129987353537646e-05,
                4.222832940834793e-06,
                5.715006514105942e-07,
                4.222832436779288e-06,
                5.144220749598207e-05,
                5.715005832510042e-07,
                1.1478765385432939e-05
            ],
            [
                5.1442238122674424e-05,
                0.00020342694870731978,
                6.605216826132997e-05,
                4.222832436272325e-06,
                3.2887490653109436e-06,
                6.605212884380361e-05,
                3.535626333809042e-05,
                1.30071315602427e-05,
                3.535626755929635e-05,
                5.8291244621538684e-05
            ],
            [
                0.004609572963508262,
                0.0002305066319572862,
                0.7310585903489891,
                7.484626276668181e-05,
                0.00048785717506406477,
                0.00012339458941227732,
                9.61024148597335e-05,
                0.00017952792302806714,
                9.610238054937517e-05,
                8.48110413144904e-05
            ],
            [
                2.7535697651475977e-05,
                6.962254588281262e-06,
                5.04347528440776e-07,
                1.3007128457485415e-05,
                2.5612819053166966e-06,
                6.962254589528684e-06,
                2.2603245670174926e-06,
                1.8925141467679015e-05,
                5.422218968083048e-06,
                5.715006513999389e-07
            ],
            [
                0.985936372427298,
                0.9796676461008123,
                0.9875683469400627,
                0.9947798738663435,
                0.9149009462917594,
                0.9988304898929645,
                0.9840936056349264,
                0.9940889315240998,
                0.9947798750971671,
                0.9968273178180244
            ],
            [
                0.9924227572369164,
                0.9975273767198952,
                0.9933071478343223,
                0.9914225159247485,
                0.9968273165537043,
                0.939913350667554,
                0.9940889304405308,
                0.9996646497318664,
                0.9947798734455904,
                0.979667647881705
            ],
            [
                0.000911051406010162,
                0.0003353500222646889,
                0.0004878570500078279,
                3.120190019330501e-05,
                6.1441724044534996e-06,
                4.0063711246896956e-05,
                3.120191508185304e-05,
                1.4738983724146862e-05,
                5.422218969532895e-06,
                1.3709576970213355e-06
            ],
            [
                0.9933071488218642,
                0.7549149923816048,
                0.9770226319716621,
                0.9940889312258449,
                0.9324533083911025,
                0.9953904287756881,
                0.8807970779778824,
                0.994779874495055,
                0.9995694429639425,
                0.9982992775545684
            ],
            [
                5.4222215537823875e-06,
                8.939698433584547e-06,
                3.466327037140045e-07,
                1.2098656834723998e-06,
                5.422218969384951e-06,
                6.962254588281262e-06,
                2.902312677060767e-06,
                6.144172403928222e-06,
                2.561282210590951e-06,
                6.144176066264237e-06
            ],
            [
                0.7057850154599562,
                1.8925145968614975e-05,
                1.670141983261753e-05,
                2.2603248366762157e-06,
                1.9947301970106386e-06,
                3.05902117523595e-07,
                2.9023123310580418e-06,
                2.7535684513582775e-05,
                1.4738978454172926e-05,
                2.1024336609638268e-07
            ],
            [
                5.144220750870732e-05,
                1.3709572066982443e-06,
                NaN,
                3.288749065209246e-06,
                3.726638395493353e-06,
                8.939695237162584e-06,
                1.994729007936337e-06,
                5.422220907298259e-06,
                2.4300232030064617e-05,
                8.9397005654763e-06
            ],
            [
                4.4508505193123265e-07,
                4.785096775842062e-06,
                1.0677028699955933e-06,
                2.5612828212909852e-06,
                2.561283432005142e-06,
                5.1442225844299154e-05,
                7.889265405333033e-06,
                1.3007123806450271e-05,
                4.785093924047376e-06,
                1.0677024881004167e-06
            ],
            [
                1.3709567165386693e-06,
                8.939699500327152e-06,
                1.7603425836678333e-06,
                1.8925141455974863e-05,
                1.4738988969136072e-05,
                2.1444945844014022e-05,
                1.300712381094558e-05,
                7.889263524615903e-06,
                3.726638838711279e-06,
                7.889261641158302e-06
            ],
            [
                0.7310585903489891,
                0.7772998508568416,
                0.8933094167058151,
                0.9324533149608596,
                0.7549149758396752,
                0.9046505402422645,
                0.9940889304651574,
                9.610239173609022e-05,
                0.914900950352329,
                0.9706877707325845
            ],
            [
                5.144220750870732e-05,
                5.422217029844958e-06,
                0.00020342697194648913,
                3.1201922511884416e-05,
                5.144221363703851e-05,
                1.5534984953199313e-06,
                1.0129994600859455e-05,
                1.0129992185981682e-05,
                2.902311293034278e-06,
                4.539785238670836e-05
            ],
            [
                1.4738981968462759e-05,
                3.5356242249174894e-05,
                3.5356242257020764e-05,
                0.9989677689754896,
                1.892514146382353e-05,
                1.3007130013288297e-05,
                1.892515500663531e-05,
                3.1201903888114227e-05,
                4.222834451215781e-06,
                0.00013982210679798113
            ],
            [
                0.0001398220398053714,
                0.9940889322492155,
                0.9796676472138702,
                0.9796676470283605,
                0.9046505421702797,
                0.9740426436028067,
                7.48462091951041e-05,
                0.9525741296834681,
                0.9947798740186852,
                0.00033535014591133514
            ],
            [
                6.144177531007026e-06,
                1.0677029972920738e-06,
                1.9947292458603553e-06,
                1.9947297213746646e-06,
                4.4508499885416325e-07,
                1.6701427809710842e-05,
                6.475945665853783e-07,
                1.147876401423365e-05,
                1.2098659718539182e-06,
                8.315279285251204e-07
            ],
            [
                0.9988304897518072,
                0.9465966679403515,
                0.9875683472602131,
                0.9978172837701698,
                0.7981867849406659,
                0.9968273165934676,
                0.8519528000888387,
                0.9995694430167372,
                0.9978172830556742,
                0.9996646499341131
            ],
            [
                0.9820137885574375,
                0.00017952802878561344,
                5.422220908402905e-06,
                9.610243771350267e-05,
                2.4300252309307336e-05,
                6.9622570780973205e-06,
                0.0006263341704243191,
                1.6701427811412077e-05,
                1.4738983725406915e-05,
                7.484623605603429e-05
            ],
            [
                5.8291279365509446e-05,
                1.9947290080905435e-06,
                0.9940889301860563,
                0.9525741286736911,
                0.7057850154599562,
                0.0024726228580097404,
                0.4378234991142019,
                0.9924227596565858,
                0.9840936053433594,
                5.1442238137271045e-05
            ],
            [
                0.9149009468718409,
                0.9940889306375434,
                0.9706877698316205,
                0.9995121429440317,
                0.9933071501406505,
                0.9997040428668712,
                0.9992903295631704,
                0.997527376713004,
                0.9902915253630379,
                0.9940889306211257
            ],
            [
                6.962257077223492e-06,
                1.30071253611406e-05,
                0.00033534998513070144,
                0.00012339461840449737,
                3.535624226936835e-05,
                2.753568780461672e-05,
                4.539785774447017e-05,
                0.0004305569807451424,
                5.144222581173747e-05,
                1.6701425815072606e-05
            ],
            [
                0.9770226323898149,
                0.9982992773936784,
                0.43782349911420193,
                0.9890130564990898,
                0.0019267350904700832,
                0.9940889298768559,
                0.8175744828610095,
                0.9964063982272631,
                0.9890130561954908,
                0.8354835391516133
            ],
            [
                1.6701423831188846e-05,
                8.481103093297462e-05,
                0.00012339453017107404,
                3.1201911361276113e-05,
                7.48462181396708e-05,
                2.1444940737257882e-05,
                5.422217030121119e-06,
                0.9996200155631071,
                8.481108161082634e-05,
                1.4738985482351282e-05
            ],
            [
                0.00012339457468994874,
                0.924141813188682,
                0.7981867825403177,
                2.4300234934056724e-05,
                1.1478769492642663e-05,
                5.8291272467944936e-05,
                1.012999460251781e-05,
                9.610243780928898e-05,
                1.300712381094558e-05,
                0.9968273177303982
            ],
            [
                3.535625490931388e-05,
                0.9984988179125264,
                0.9978172837630704,
                2.7535684510878145e-05,
                0.9465966735899122,
                0.9992903296300836,
                0.00012339454510166436,
                0.9706877672877218,
                0.9820137875375573,
                0.5621765008857981
            ],
            [
                0.9982992773482181,
                0.9982992773312199,
                0.9859363753586786,
                0.999290329713013,
                0.9953904274915886,
                0.817574478416099,
                0.7310585844894971,
                0.9669140217304727,
                0.9740426447330705,
                0.9046505293168445
            ],
            [
                0.9706877696196289,
                0.8354835330070839,
                0.9859363732666802,
                0.9669140183935203,
                0.9820137887548336,
                0.9875683506560948,
                0.9971990731200212,
                0.8933094117351309,
                4.539789026561238e-05,
                0.9149009526726544
            ],
            [
                4.450852111120808e-07,
                5.71500378896509e-07,
                2.902310947190096e-06,
                4.785093923982095e-06,
                2.260323489490968e-06,
                2.260323489435463e-06,
                6.475949525919915e-07,
                1.5534977544932838e-06,
                9.422450431860582e-07,
                3.0590219045271286e-07
            ],
            [
                1.0677031245851707e-06,
                6.962253759670401e-06,
                6.962259568775433e-06,
                4.7850944942634305e-06,
                3.726640172290235e-06,
                5.422217029736466e-06,
                9.422447061679302e-07,
                5.043475885634304e-07,
                3.726639727940109e-06,
                2.902312677104321e-06
            ],
            [
                0.6513548646660543,
                0.8807970732843033,
                0.7057850402140659,
                0.995929862823955,
                0.9890130578652852,
                0.9998204719487485,
                0.9740426404003925,
                0.9796676486608455,
                0.9933071476578649,
                0.9579122680292479
            ],
            [
                0.9324533083911025,
                0.9149009636941993,
                0.990291524897433,
                0.9959298624709754,
                0.9859363743514201,
                0.8933094110250333,
                0.9924227601958463,
                0.9998601779603756,
                0.6224593312018546,
                0.9959298617782293
            ],
            [
                0.9046505286741726,
                1.4738987237124277e-05,
                5.829128618376804e-05,
                6.605213643522215e-05,
                1.1478768119939555e-05,
                0.9669140229222414,
                2.4300234914166368e-05,
                7.484626267846674e-05,
                3.2887494562404496e-06,
                1.670142581574095e-05
            ],
            [
                3.5356238044435446e-05,
                7.484621810808764e-05,
                6.605212877796679e-05,
                7.484620933559467e-05,
                4.539785238406597e-05,
                7.484623597326465e-05,
                2.4300249409733237e-05,
                2.144495863201265e-05,
                0.0003353501863431056,
                8.481102090440075e-05
            ],
            [
                0.5312093733737563,
                0.9241418152779358,
                0.5312093733737563,
                0.6513548646660542,
                1.1478769489009626e-05,
                0.37754066879814546,
                1.0129989770441144e-05,
                0.7310585786300049,
                4.222834954403545e-06,
                0.7057850216484838
            ],
            [
                0.9465966732132748,
                0.9859363719107552,
                0.9840936055182996,
                0.9820137859583881,
                0.8519528057272543,
                0.9978172832823453,
                0.9978172838208792,
                1.4738988989779516e-05,
                0.9968273174476383,
                0.9770226324734456
            ],
            [
                6.605216025614478e-05,
                6.60521524619268e-05,
                8.481104118676534e-05,
                9.610241471500532e-05,
                0.0017007223900887185,
                4.006370171239984e-05,
                1.8925155000714377e-05,
                1.4738976698757546e-05,
                6.96225541788636e-06,
                2.4300240729754152e-05
            ],
            [
                2.5612819053166966e-06,
                6.475947209918244e-07,
                4.222832437324657e-06,
                1.1478765386330758e-05,
                6.9622537570932415e-06,
                7.889266346287306e-06,
                2.5612819052072116e-06,
                8.93969949923766e-06,
                3.7266392836374875e-06,
                4.222833444168322e-06
            ],
            [
                0.0003353502231649008,
                0.817574478416099,
                0.9626731162701729,
                0.9989677691926482,
                0.8519528057272544,
                0.7772998663336157,
                0.9399133527714579,
                0.9525741239613982,
                0.6513548511303336,
                0.9046505306021881
            ]
        ]
    },
    {
        "q_id": "10505_mmlu_computer science",
        "cot_ids": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            21,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            36,
            37,
            38,
            40,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            0,
            19,
            20,
            22,
            23,
            35,
            39,
            41,
            50,
            108
        ],
        "rewards": [
            [
                0.8807970779778824,
                0.9840936101542133,
                4.006367781356952e-05,
                0.9997965730551817,
                0.8933094067644466,
                0.9796676469912586,
                0.16451645880021026,
                8.481102068535543e-05,
                0.00015843623459106567,
                0.00012339460345594413
            ],
            [
                0.0010322309954598674,
                4.539788473741292e-05,
                0.0059110679149616974,
                0.0009110511058150034,
                0.00023050662900617124,
                0.9998766054111461,
                0.9998766054264412,
                NaN,
                0.9999251537465138,
                0.9992903297003404
            ],
            [
                0.9982992778953228,
                0.9998204720777947,
                0.2689414096510108,
                0.9992903294731823,
                0.9997965731009615,
                0.9999038975738438,
                0.9975273764017447,
                0.9902915251123274,
                0.97702262871007,
                0.994779873102217
            ],
            [
                0.07585817793199001,
                0.5926665999540698,
                0.867035752930664,
                0.5926665999540697,
                3.535625898942181e-05,
                0.9706877675527112,
                1.1478769491306371e-05,
                1.0129988561372045e-05,
                1.1478765372946989e-05,
                1.0677024881004167e-06
            ],
            [
                9.610241481708411e-05,
                0.9740426401178266,
                5.144223197188398e-05,
                7.889260703462123e-06,
                0.020332351302052524,
                0.9959298618914849,
                0.9986749773315337,
                0.9626731105140616,
                3.726638394564673e-06,
                1.4738980209347228e-05
            ],
            [
                3.120192623110058e-05,
                0.4378234991142019,
                0.9324533116759811,
                0.9770226289609617,
                0.9840936093086694,
                NaN,
                5.144220127670351e-05,
                0.20181321745968236,
                0.9626731157347208,
                0.982013790926191
            ],
            [
                0.9902915241363479,
                9.610239195213367e-05,
                NaN,
                0.9959298622293637,
                0.0009110511861354775,
                0.9984988175588183,
                0.00013982202388420506,
                0.9986749777721124,
                0.0019267342814065444,
                0.001501181970210863
            ],
            [
                2.4300252311252174e-05,
                0.9995694429649821,
                0.9964063972910246,
                0.9953904269553008,
                0.9465966703884945,
                0.9992903296338813,
                0.9986749778902676,
                0.9796676488834571,
                0.9999756997650798,
                0.017986211376763837
            ],
            [
                0.9999898700066274,
                0.9933071495153105,
                0.20181321986003056,
                0.999954602142856,
                0.002800926959967508,
                0.9995694429695663,
                0.7310585844894971,
                0.9998601778599966,
                0.999704042913,
                0.9999687980812496
            ],
            [
                0.37754066879814546,
                0.29421497216298875,
                0.9626731098447462,
                NaN,
                0.8933093954028816,
                0.9399133502467732,
                0.9968273168364644,
                0.24508501313237174,
                7.889265405849647e-06,
                0.867035758084294
            ],
            [
                0.9992903296447376,
                0.9525741231199173,
                0.9992903296566672,
                0.1329642487872128,
                0.9241418199787564,
                0.9996646499735692,
                0.5926665999540697,
                0.9990889490095265,
                0.9626731134590488,
                0.6513548714339144
            ],
            [
                0.9999910603015668,
                0.0004878571673438422,
                0.9999251537642364,
                0.9997040427616455,
                0.0002959572369164327,
                0.9998415637277744,
                0.5312093733737563,
                0.9996200155663351,
                0.9992903295671333,
                NaN
            ],
            [
                0.06754668503914044,
                0.9740426414364677,
                0.9875683470201002,
                2.1444950958338794e-05,
                0.9990889485987582,
                0.9999251537552504,
                0.9999151889385525,
                0.999981074858559,
                0.9890130556793725,
                0.00037998456423316435
            ],
            [
                0.999664650013279,
                0.9999910603068971,
                0.7981867801399695,
                0.0002034269213660794,
                0.00013982213941340482,
                0.9997694932051076,
                0.999876605441264,
                0.9998204719713346,
                0.9241418231126367,
                0.9968273170271802
            ],
            [
                0.7981867705385763,
                0.9990889490187452,
                3.53562421969549e-05,
                NaN,
                9.610244879674718e-05,
                1.0129992184544441e-05,
                0.9924227603114022,
                0.9669140253057785,
                1.0677033791107183e-06,
                0.9975273762759775
            ],
            [
                0.9046505312448598,
                0.9984988179545804,
                0.9989677690715244,
                0.8670357666736772,
                0.9999251537372105,
                0.8933094032139577,
                0.9999251537728232,
                0.9626731101124724,
                0.8933094174159129,
                0.9964063980855351
            ],
            [
                0.7981867777396212,
                0.9046505280315009,
                0.9994472212683063,
                0.9978172831114547,
                0.9982992772001756,
                0.9996200154345176,
                0.705785040214066,
                0.9997694933131654,
                0.9324533116759811,
                0.9399133508779444
            ],
            [
                0.9998911030391892,
                0.9840936045561286,
                0.9914225161227457,
                0.9995121428421645,
                0.8933094167058151,
                0.9995694429653579,
                0.9993736659761886,
                0.9994472214672367,
                0.9999485577681415,
                6.605216026239207e-05
            ],
            [
                0.9989677690944526,
                0.9998204720775336,
                0.9990889489579751,
                0.9964063967091062,
                0.9465966660571644,
                0.9995694429158196,
                0.999891103130175,
                0.9997388096631059,
                0.5621765008857981,
                0.8933094060543488
            ],
            [
                0.9890130565496896,
                0.32082129433083023,
                0.7057850278370112,
                1.4738988992031526e-05,
                0.005220126010332299,
                0.5,
                0.9986749776456387,
                0.9149009486120849,
                0.0004878570519094999,
                0.9840936116412042
            ],
            [
                0.00029595705748171894,
                0.9770226285428087,
                0.0002611903699982021,
                0.8670357683915538,
                0.9999724643122205,
                0.999841563805669,
                0.9999810748472566,
                0.9999785550541569,
                0.9999885212291474,
                0.9999038975628122
            ],
            [
                4.5397868567012224e-05,
                1.012998856015592e-05,
                8.48110410719979e-05,
                0.995929861461114,
                0.9669140216112959,
                0.7057850340255387,
                0.2942149659744614,
                4.539787397465094e-05,
                3.120190393374457e-05,
                0.9914225144199704
            ],
            [
                0.9579122731357119,
                0.9996200154293883,
                0.9997694933144666,
                0.9890130564484899,
                0.9399133536130195,
                0.7981867825403177,
                0.9840936081132451,
                0.9953904273185237,
                0.8670357580842941,
                0.9993736658276082
            ],
            [
                0.9999687980923682,
                0.9999756997679764,
                0.999993037741261,
                0.9992903295423246,
                0.8354835391516132,
                0.8807970685907242,
                0.9999910603058294,
                0.9992903296444899,
                0.9999952149043647,
                0.9999687980886489
            ],
            [
                0.9997965729311428,
                0.9241418267688303,
                0.9902915241094861,
                0.9820137883271419,
                0.9999151889191235,
                0.999373665941102,
                0.9990889490132882,
                0.9984988178491834,
                NaN,
                0.9902915237960981
            ],
            [
                0.43782349911420193,
                0.00013982207372279193,
                0.7310585786300049,
                0.5,
                0.9840936094544528,
                0.9875683505303214,
                0.924141814233309,
                4.539789020847081e-05,
                0.9996200154276969,
                0.9706877680826902
            ],
            [
                0.9978172830475608,
                0.9940889309248534,
                0.9796676443941232,
                0.00026119024408715225,
                0.00010889692200685404,
                5.144222585927004e-05,
                0.9999251537996486,
                0.8670357546485408,
                0.5926665999540698,
                0.9947798749665886
            ],
            [
                0.9947798740477025,
                0.9997965729551929,
                0.9999810748540408,
                0.9997388097549933,
                0.8519528057272544,
                0.9525741236248059,
                0.9975273764258644,
                0.997527377155773,
                0.34864514210180597,
                0.9971990726895127
            ],
            [
                0.9626731150654054,
                0.679178699175393,
                0.00010889693471601869,
                0.9902915236976048,
                4.5397852361605714e-05,
                1.4738980205754734e-05,
                0.1824255326961778,
                NaN,
                8.939699497855469e-06,
                3.1201911314056636e-05
            ],
            [
                0.9999599362888041,
                0.9982992778585592,
                5.1442207165499836e-05,
                0.9465966649272521,
                2.7535691078121046e-05,
                0.9999852610127715,
                0.9997965730275415,
                0.9988304897981797,
                0.9999756997564113,
                0.9995121428282
            ],
            [
                0.9902915253898996,
                0.9999756997592822,
                0.9998766054695668,
                0.9997388096030231,
                0.0005527786657051582,
                0.9999687980737874,
                0.9999957771670596,
                0.99408892980024,
                0.9999339478318396,
                0.9978172830480678
            ],
            [
                0.9999885212332495,
                0.9998601779781217,
                0.9770226326407067,
                0.9820137896431161,
                0.9999885212307394,
                0.9999785550413784,
                0.9999724643155444,
                0.9998601778603994,
                4.006367773545022e-05,
                0.9999832985841405
            ],
            [
                0.9998601778597382,
                0.9999687980923667,
                0.998073265501888,
                0.9994472214743114,
                0.9997965729791986,
                0.985936371523348,
                0.9999756997505957,
                0.9978172830790006,
                0.9796676446909387,
                0.9999756997680053
            ],
            [
                0.9796676489947629,
                0.9859363734862109,
                0.00037998456389046545,
                0.9770226305499425,
                0.0005527785963078383,
                0.9669140245907174,
                5.82912863042125e-05,
                0.962673116671762,
                NaN,
                0.0011695101946128596
            ],
            [
                0.0001584361970764834,
                0.5926665999540698,
                0.99998329857418,
                0.9997965729551929,
                0.997817283842177,
                0.9820137923408631,
                0.9986749775892568,
                0.9740426432731464,
                0.0002305067407662635,
                0.9999038975852388
            ],
            [
                6.144176065314267e-06,
                2.9023116390104826e-06,
                0.9997694932044235,
                2.9023109469023766e-06,
                0.00010889689285706508,
                6.605216816665945e-05,
                4.450849457805411e-07,
                0.9993736659843134,
                9.422450431260706e-07,
                1.0129995808178788e-05
            ],
            [
                0.9989677689470393,
                0.9997040429366628,
                0.9399133552961426,
                0.9953904274680859,
                0.9324533088603709,
                0.9890130579968447,
                0.989013056144891,
                0.9980732655220363,
                0.9988304897775093,
                0.9924227599507279
            ],
            [
                0.9994472213275094,
                0.999981074854035,
                0.8670357512127873,
                0.9997388096932918,
                0.9999869928761923,
                0.9997694933176525,
                0.9995694428202001,
                0.999820471993009,
                0.9984988174617974,
                0.9971990736825437
            ],
            [
                0.9940889300793411,
                0.2450850131323717,
                0.9998766054694789,
                0.9998415638219574,
                0.999664649934357,
                4.00637062469661e-05,
                0.9989677689984179,
                0.9996646498153838,
                0.9999038975750114,
                0.9992903297559431
            ],
            [
                0.9997040428697472,
                0.9997694933180146,
                0.9997965729304471,
                6.605215986833208e-05,
                0.9999485577864689,
                0.9998204719926093,
                0.0017007223602430526,
                0.9998911030916309,
                6.605216033495677e-05,
                0.9999038975509124
            ],
            [
                0.9999251537997663,
                0.914900952092573,
                0.9875683479691179,
                0.9999599363126329,
                0.9859363703094721,
                0.46879062662624377,
                0.9902915233125853,
                0.9997388097853767,
                0.9997965731014529,
                0.9999151889186113
            ],
            [
                0.9947798748215014,
                0.924141813188682,
                0.9859363716524838,
                0.9988304894655489,
                0.9953904282287174,
                0.970687770467595,
                0.9875683504388499,
                0.9998204719497829,
                0.9988304899247861,
                0.9997965730040034
            ],
            [
                0.9940889311382837,
                0.43782349911420193,
                0.9982992778710115,
                0.9998911030790357,
                0.99993394786351,
                0.9999852610233023,
                0.9995121427893718,
                0.9999151889284886,
                0.9997694933731602,
                0.999954602120768
            ],
            [
                0.9999546021151592,
                0.9999251537999373,
                0.9890130592922,
                0.9999038975410219,
                0.8354835330070839,
                0.9820137900708078,
                0.9999546021206986,
                0.9998601779776721,
                0.9999646437451601,
                0.9989677689716482
            ],
            [
                0.994779875334143,
                0.9990889490178976,
                0.9968273171958052,
                4.539788484079622e-05,
                0.9996200154755751,
                0.9997388095995501,
                0.9914225155762737,
                0.8807970670261976,
                0.9999832985761744,
                0.9706877659627745
            ],
            [
                0.9998601779605608,
                0.9988304899748303,
                0.9999251537818445,
                0.9999151889486606,
                0.999841563708404,
                0.8175744806385542,
                0.9999038976091364,
                0.999290329669505,
                0.9998911030651763,
                0.651354857898194
            ],
            [
                0.9998766053671335,
                0.9999417087485789,
                0.9997694932056174,
                0.9988304898203461,
                0.99989110307831,
                0.9999687980998219,
                0.9999251537373385,
                0.9999339478396881,
                0.9997388097861138,
                0.9924227581578616
            ],
            [
                0.9990889489187686,
                0.9992903297234978,
                0.9999417087484639,
                0.9998204720563266,
                0.9994472214579109,
                0.9890130580069646,
                0.9902915221664806,
                0.9997965730525831,
                0.9998911030525732,
                0.9984988175174623
            ],
            [
                0.9997040427962616,
                0.9991959140856962,
                0.9994472213390221,
                0.9982992772045242,
                0.9992903295869884,
                0.9914225147526057,
                0.974042641342279,
                0.9990889487910293,
                0.9890130568330487,
                0.7310585727705127
            ],
            [
                0.8670357598021707,
                0.9992903294837084,
                0.11920292984474948,
                0.9998204720132834,
                0.0015011821656488985,
                0.5621765008857981,
                0.99849881754259,
                9.610243750095499e-05,
                0.9999038975394235,
                0.9984988179924466
            ],
            [
                0.9999038975968856,
                0.9914225157663509,
                0.9999251537551971,
                0.9995694428268638,
                0.9999485577802578,
                0.9875683511477544,
                0.9999687980887013,
                0.9999038975738312,
                0.9999599362935956,
                0.0005527786612994893
            ],
            [
                0.9978172836687509,
                0.9999810748427421,
                0.9999687980775512,
                0.999983298572205,
                0.9999785550516415,
                NaN,
                0.9999251537640507,
                0.731058584489497,
                0.9998911030911317,
                0.9999910603005058
            ],
            [
                0.0024726236786543915,
                0.9999832985802217,
                0.4378234991142019,
                0.5621765008857982,
                0.9706877720045337,
                0.9953904271112729,
                NaN,
                0.9971990724404419,
                0.9953904273676656,
                0.9991959142505008
            ],
            [
                0.982013794117428,
                0.0002034270196442118,
                0.9924227577516653,
                0.9999756997622222,
                0.8519528000888387,
                0.40733340004593027,
                0.00026119024113088795,
                0.9933071480479285,
                0.9997694933685592,
                0.9706877674467155
            ],
            [
                1.8925143717561654e-05,
                9.610242632402301e-05,
                0.46879062662624377,
                0.9999599362887743,
                0.9770226276646877,
                0.9999339478791676,
                0.999664649856723,
                0.999841563821342,
                0.9999599363030846,
                0.9999898700114386
            ],
            [
                0.00026119033728929004,
                0.0005527785971439505,
                0.9984988176211141,
                0.9994472214056538,
                0.999820471993009,
                0.9947798749569162,
                0.9997694932321372,
                0.9890130554466133,
                0.9995121428308964,
                0.5926665999540697
            ],
            [
                0.9999151889893143,
                0.9999756997476887,
                0.9991959140776993,
                0.939913352771458,
                0.8519527963298947,
                0.9998601779269973,
                0.9993736658371906,
                0.999769493176247,
                0.9994472214651464,
                0.9995121428950992
            ],
            [
                0.9999810748562947,
                0.999988521226408,
                0.9999339478633246,
                0.000626334148272075,
                0.9999869928684375,
                0.9996646500182158,
                0.9998415638215402,
                0.0001233945593607748,
                0.999959936317406,
                0.0004305570832034347
            ],
            [
                0.9964063970167394,
                0.9986749778868786,
                1.0129990977520359e-05,
                0.9999724642957877,
                0.9971990723838645,
                0.9669140225647108,
                0.9999724642957929,
                0.9998601779097721,
                0.99242276024487,
                0.9995694429172851
            ],
            [
                0.9999251537731374,
                NaN,
                0.999989870010236,
                0.9999546021205942,
                0.9989677688338383,
                0.9999339478317978,
                0.9933071497165338,
                0.9999921107336535,
                0.00029595702136746055,
                0.9947798735278065
            ],
            [
                0.9997040430157542,
                0.5621765008857981,
                0.46879062662624377,
                0.9933071487011303,
                0.2018132150593341,
                0.99408893202484,
                0.8519528019683105,
                0.9241418272911436,
                0.9399133548753619,
                0.9994472214763053
            ],
            [
                0.9999151889891846,
                0.9626731121204183,
                0.9914225152990777,
                0.679178699175393,
                0.9989677688290366,
                0.9740426447330703,
                0.9986749776880021,
                0.9998415638401407,
                0.999933947823992,
                0.9924227594920063
            ],
            [
                0.5312093733737563,
                0.9940889319619055,
                0.679178699175393,
                0.9997040428713747,
                0.2450850131323717,
                0.00010889689584382082,
                0.9940889301094402,
                0.904650530602188,
                0.9924227592959116,
                0.9902915242079795
            ],
            [
                0.9989677692011713,
                0.9999785550439327,
                0.9998204720353157,
                0.9986749777884416,
                0.9999485577619212,
                0.00029595709315682396,
                0.7772998714925403,
                0.9999852610110042,
                0.9999599363083223,
                0.9999038976081925
            ],
            [
                1.1478765385098868e-05,
                0.9959298623237433,
                0.5312093733737563,
                0.4073334000459302,
                0.9796676470283606,
                0.9997965729305833,
                4.222834953712232e-06,
                0.9626731162701729,
                0.9995121427731934,
                0.7772998508568416
            ],
            [
                0.9998766054696404,
                0.7772998560157665,
                0.9525741308615412,
                0.9990889490204407,
                0.9669140244715405,
                0.9982992772576929,
                0.9859363756427771,
                0.9989677691952892,
                0.9706877705735908,
                0.99966464985724
            ],
            [
                0.9999417087276253,
                0.9995694429641303,
                0.9998911031169572,
                0.9989677690976939,
                0.9940889313270873,
                0.9924227600487753,
                0.8175744850834648,
                0.932453315430128,
                0.8933094138654242,
                0.9999852610197889
            ],
            [
                0.9998415637838942,
                0.9980732657579944,
                0.7981867873410141,
                0.9706877667577428,
                2.753570422373059e-05,
                0.9997694931773269,
                0.952574130693245,
                0.9992903297201543,
                0.8670357666736772,
                2.4300249408672413e-05
            ],
            [
                0.9990889489187686,
                0.9968273172657589,
                0.9968273176368813,
                0.9796676486979475,
                0.9990889486702307,
                0.994088930451476,
                0.9947798738663435,
                NaN,
                0.8354835309589073,
                0.00037998442811538606
            ],
            [
                0.9968273175470461,
                0.43782349911420193,
                0.00012339455980783077,
                0.996406398233099,
                0.9914225157346713,
                0.9998766053811413,
                0.9964063970926055,
                0.9995694429740379,
                0.651354857898194,
                0.9995121429436628
            ],
            [
                0.9999921107364803,
                0.9999546021098239,
                0.9959298620991198,
                0.9980732650478811,
                0.9968273165220412,
                0.9995694428170439,
                0.0006263341946533369,
                0.9999151889487804,
                0.9999599363173831,
                0.9999485577742477
            ],
            [
                0.9997388097549933,
                0.9971990724827124,
                0.9579122764398942,
                NaN,
                0.9988304899016678,
                5.144221361046519e-05,
                0.651354857898194,
                0.9968273177488071,
                9.610246042115075e-05,
                0.8354835432479663
            ],
            [
                0.7549149868676283,
                0.9984988174359716,
                8.481104123982985e-05,
                0.9995121428891386,
                0.00026119039848170977,
                0.987568350015794,
                0.9149009468718409,
                0.9984988174677302,
                0.999664650011269,
                0.9999485577619338
            ],
            [
                0.7772998560157665,
                2.430023493052066e-05,
                2.144494323481637e-05,
                2.26032402791394e-06,
                0.6791786926816161,
                1.7603440525925705e-06,
                0.6224593382055109,
                0.8354835330070838,
                0.002800926846162381,
                9.610238047666152e-05
            ],
            [
                0.9984988178052099,
                0.9579122726851416,
                0.9525741291785795,
                0.9579122762897041,
                0.9995121427792958,
                0.9959298630542411,
                0.9988304899283219,
                0.9989677687451262,
                0.9796676453587735,
                0.9914225144754096
            ],
            [
                0.9999921107392955,
                0.00037998443295738857,
                0.7057850216484838,
                0.9975273770604426,
                0.9999646437619449,
                6.605213663177151e-05,
                0.0002959569900150524,
                5.829127244377123e-05,
                0.0004305570874370419,
                0.9998911031047202
            ],
            [
                0.9995121428433851,
                0.9999038976080801,
                0.9989677689401968,
                0.0003799844699246425,
                0.9982992774193734,
                0.9796676469541568,
                2.4300234919028452e-05,
                0.970687772322521,
                0.9998601779441758,
                0.9940889322820509
            ],
            [
                0.9626731133251858,
                0.997199073646126,
                0.9984988179634798,
                0.4073334000459302,
                4.785096205077381e-06,
                0.00020342694702623886,
                0.7772998663336157,
                0.9933071488063855,
                0.9796676476961954,
                0.9978172831849833
            ],
            [
                5.8291258498513246e-05,
                0.9999687980961832,
                0.9999251537374549,
                0.00017952800686564668,
                0.22270013882530884,
                5.1442195043951916e-05,
                0.8519528057272543,
                0.9999852610162847,
                0.9999980052702786,
                0.9995121428889967
            ],
            [
                0.7310585727705126,
                6.605212083958431e-05,
                0.00017952798595914125,
                0.8933094081846421,
                8.939700562695657e-06,
                0.6224593312018545,
                NaN,
                4.006367780569929e-05,
                0.00015843619686210122,
                0.0001398220569024194
            ],
            [
                0.6791787121629465,
                0.9046505402422645,
                0.8933094145755219,
                0.9964063973443811,
                0.9999151889893352,
                0.9149009480320036,
                0.9947798750463867,
                0.9982992777607208,
                0.00010889694654104132,
                0.9149009567332237
            ],
            [
                0.8670357649558006,
                0.9875683468828929,
                0.9953904268121482,
                0.9998601778932509,
                0.9986749777380677,
                8.93969630348202e-06,
                0.9999756997650858,
                0.9999810748562873,
                0.731058584489497,
                0.9626731143960903
            ],
            [
                0.9991959142527456,
                0.798186768138228,
                0.9947798738010543,
                0.9998601779446458,
                0.9992903296463062,
                0.9980732654947242,
                0.9999852610162798,
                0.9982992774741233,
                0.9988304897912441,
                0.9399133500363828
            ],
            [
                0.9875683488952673,
                5.144221969687863e-05,
                0.9924227584099835,
                8.481108144299433e-05,
                1.8925150489517924e-05,
                4.5397857701531434e-05,
                6.962253759581752e-06,
                0.9995121428557033,
                4.222835457595211e-06,
                0.970687768665667
            ],
            [
                0.9996200155185231,
                0.9820137933936423,
                0.9978172840389296,
                0.9988304899220662,
                5.422217029844958e-06,
                0.9626731083722524,
                0.9995121428251914,
                0.9999546021477332,
                0.9890130555174531,
                0.9964063980496862
            ],
            [
                0.999664650013279,
                0.9149009613738741,
                0.9998601779607541,
                0.9982992779884176,
                0.6513548782017745,
                0.999738809568817,
                0.9999646437603464,
                0.9999599362935554,
                0.9924227570163099,
                0.9999646437493489
            ],
            [
                0.9999599362935339,
                0.9933071476640564,
                0.999903897609261,
                0.9999687980886555,
                0.9999038976195554,
                0.9995121428381909,
                0.9999485577685322,
                0.999373665913776,
                0.9953904275685065,
                0.9924227592713998
            ],
            [
                0.9940889301970014,
                0.8807970685907242,
                0.9399133536130195,
                0.9669140245907174,
                0.2942149783515162,
                2.430023493052066e-05,
                0.00020342706885728706,
                0.2689414330889797,
                0.9324533022906133,
                3.535623803478889e-05
            ],
            [
                0.0002959572004749368,
                NaN,
                0.9999952149072172,
                0.999925153755269,
                0.9999852610127759,
                5.1442201347440924e-05,
                0.00023050670718390275,
                NaN,
                0.9986749776058942,
                0.0008040858102019559
            ],
            [
                0.00033535010811387836,
                6.605216035706259e-05,
                0.02033235545746906,
                0.7772998560157663,
                0.9964063981547318,
                0.9978172834811262,
                0.00013982210665353909,
                NaN,
                7.484625374097369e-05,
                0.5926665999540698
            ],
            [
                2.4300249416363357e-05,
                3.1201907595069264e-05,
                1.0129995809431767e-05,
                0.9999339478397065,
                0.9525741311981335,
                0.9999832985781801,
                3.120192252175965e-05,
                0.9902915225873159,
                0.9999646437408973,
                5.144223194755629e-05
            ],
            [
                0.9980732655292001,
                4.222834954134701e-06,
                0.9999417087553925,
                5.829129315427943e-05,
                0.7981867801399695,
                0.9999251537460739,
                0.9975273764591727,
                3.7266406161591266e-06,
                0.9796676452845697,
                0.9953904284231484
            ],
            [
                0.9975273762731062,
                0.999820472078257,
                0.9933071486423112,
                4.006370168310508e-05,
                0.9890130548900151,
                0.9953904283526404,
                0.9995694429161077,
                0.0003353501867041035,
                0.2227001336663842,
                0.987568351845225
            ],
            [
                0.9992903295822826,
                0.9991959139203305,
                0.7310585727705127,
                0.9982992779911847,
                0.9999646437451162,
                0.9149009538328171,
                0.9997040427682932,
                0.9993736658410526,
                0.9953904267907822,
                0.9997965729797639
            ],
            [
                0.9997388096614188,
                0.8175744739711883,
                1.8925141465820123e-05,
                0.9902915249422025,
                0.06008665101556925,
                4.0063706490068886e-05,
                4.0063696893922756e-05,
                6.605217590513419e-05,
                0.9999785550464995,
                0.9999599363175071
            ],
            [
                0.9525741310298373,
                0.9149009474519223,
                0.9959298630051637,
                0.9999646437409201,
                0.9999251537373559,
                0.9999646437579299,
                0.13296424706933604,
                0.9525741320396143,
                0.9996200155734213,
                NaN
            ],
            [
                0.9770226274556113,
                0.5,
                0.09534947389651462,
                0.9902915240378546,
                1.3007128456539035e-05,
                0.9465966668104392,
                4.5397857639435435e-05,
                0.0001088968952433007,
                1.0129988562422337e-05,
                0.2227001285074597
            ],
            [
                0.9998204720990381,
                0.9933071491593003,
                0.999569442968865,
                0.9999417087206875,
                0.9959298632316747,
                9.610244900370157e-05,
                0.9324533121452495,
                0.9997965730766746,
                0.9978172840607347,
                0.984093607559268
            ],
            [
                0.9999869928761919,
                0.9999485577806602,
                0.9999832985841509,
                0.9997388096312861,
                0.9999810748540544,
                0.9998415637094921,
                0.9984988178470895,
                0.9982992775557542,
                0.9998601779433579,
                0.8354835289107307
            ],
            [
                0.9947798731457432,
                0.9999417087137343,
                0.34864514886966624,
                0.9996200155176277,
                0.14804719051380197,
                0.999933947823931,
                0.9978172832843737,
                0.9859363741318895,
                0.9964063968491669,
                0.9740426398352605
            ],
            [
                0.9995121428743511,
                0.999995777168068,
                0.9999974387177903,
                0.00033535001929865295,
                0.999968798096167,
                0.9999832985821483,
                0.9999339478793685,
                0.9579122716338108,
                0.9999921107355402,
                0.999993855825401
            ],
            [
                2.4300246522270504e-05,
                0.8933094103149354,
                7.484620026687456e-05,
                0.9988304895380314,
                0.9986749773430873,
                5.144219515398787e-05,
                8.939695237162584e-06,
                0.7057850340255386,
                0.11920291732853862,
                0.00012339454506575626
            ],
            [
                0.9989677687320414,
                0.9999417087484639,
                0.9999546021153471,
                0.9971990726192786,
                0.9999832985722211,
                0.9890130562764505,
                0.9994472213315935,
                0.9968273168637095,
                0.9986749773683512,
                0.9998601779763783
            ],
            [
                0.9859363730471495,
                0.0003353500267917964,
                0.0953494648991095,
                1.4738980201465192e-05,
                0.00037998456983795003,
                1.0129987354882753e-05,
                0.00017952802946734746,
                0.0007096705170758048,
                0.0007096705309868097,
                0.00048785711443761456
            ],
            [
                0.9991959140914017,
                0.7549149868676283,
                0.0006263341937424716,
                0.9998766054698092,
                0.320821300824607,
                0.9241418189341296,
                0.9999785550567211,
                0.9399133451974033,
                0.9999756997592754,
                0.9996200154720597
            ],
            [
                0.9998204720773899,
                0.9998766053674369,
                0.00010889690852763066,
                0.9999599363126515,
                0.9999485577618926,
                0.9999599363222543,
                0.9999038975397915,
                0.999948557762005,
                2.4300252258653186e-05,
                0.9999810748585398
            ],
            [
                8.481106042697222e-05,
                0.9999485578049829,
                0.6791787056691697,
                2.144494329348333e-05,
                0.0005527785981086954,
                0.9875683474431562,
                0.999964643762012,
                0.9999756997534958,
                0.8175744695262777,
                4.5397884797196873e-05
            ],
            [
                0.9998911030390718,
                0.9999251537371604,
                0.0024726226650520454,
                0.998299277294654,
                0.9998415638049128,
                0.999968798073793,
                0.9994472213334908,
                0.7310585786300049,
                0.9982992778550015,
                0.9999038976199107
            ],
            [
                3.120191135264947e-05,
                0.7057850278370112,
                0.9996200154843747,
                0.9989677687304809,
                0.9975273769249129,
                0.00023050662926774734,
                NaN,
                2.1444943296369872e-05,
                3.120190019636974e-05,
                1.6701421843356024e-05
            ],
            [
                0.9999869928715466,
                0.00033535010608448483,
                0.9999756997593205,
                0.9399133529818484,
                0.9997694933192756,
                0.9999832985761771,
                0.9986749773671189,
                0.9999785550439377,
                0.999978555054216,
                0.9999952149060908
            ],
            [
                0.9982992773567172,
                0.999796573003438,
                0.9982992772144068,
                0.9924227603639276,
                0.5621765008857981,
                0.9992903294575789,
                0.9975273770162232,
                0.9998204720767708,
                0.991422516233624,
                0.9241418168448761
            ],
            [
                0.9964063981630686,
                0.998299277961339,
                0.5926665999540698,
                0.00010889692114172457,
                0.99849881743824,
                0.7549149923816048,
                0.9997694931775817,
                0.46879062662624377,
                0.9998601778766115,
                0.4687906266262437
            ],
            [
                0.9998204719709428,
                0.9706877699376162,
                5.144221320176005e-05,
                0.00017952804926897858,
                0.9989677690864097,
                0.999704042868757,
                0.9998911030909574,
                8.481107145513842e-05,
                0.9875683499128884,
                0.98901305928208
            ],
            [
                0.9986749776323905,
                0.991422515956428,
                0.9990889488130168,
                0.9999038976087756,
                0.9998766054266799,
                0.9997388096922429,
                0.9998601778766115,
                4.53978740152776e-05,
                0.9999785550439478,
                0.9820137891496259
            ],
            [
                0.9999724643189002,
                0.00033535002532829176,
                0.9999417087068686,
                0.9996200154744144,
                0.9999251537730917,
                0.9999151889183713,
                0.9998601778932265,
                0.9999852610234651,
                0.999986992876195,
                0.999988521227772
            ],
            [
                0.8670357666736772,
                0.9820137870440669,
                0.9947798736342038,
                0.9706877722165252,
                0.8354835330070838,
                0.8933094039240554,
                1.8925145981283003e-05,
                0.060086647018151605,
                1.3007130012980722e-05,
                0.0001795280508231233
            ],
            [
                0.9986749772907109,
                0.9924227579687702,
                0.9914225163286626,
                0.9998204720140016,
                0.9999417087206977,
                0.9997040429748265,
                0.9996646500118544,
                0.9994472212775035,
                0.9999038975510578,
                0.9997965731028201
            ],
            [
                0.00033535018706510147,
                0.9947798749569162,
                0.9796676448393464,
                0.9902915254257154,
                0.9940889309303259,
                0.98409361027084,
                0.0002959569894208981,
                0.8933094124452287,
                0.9149009462917594,
                0.705785040214066
            ],
            [
                0.00020342699472987498,
                0.7772998611746912,
                0.9890130582093639,
                0.03308597874623473,
                0.939913343093499,
                0.9770226305081272,
                0.9914225163128229,
                0.00013982212241603207,
                0.679178686187839,
                0.8670357598021707
            ],
            [
                0.9999687980923834,
                0.9999687980923594,
                0.9998911030651018,
                0.9998911030779931,
                0.9993736659185125,
                0.9999756997476916,
                0.9998204719711361,
                0.9999546021151896,
                0.9998766054401382,
                0.9999957771645439
            ],
            [
                0.00017952790096184096,
                NaN,
                0.5312093733737563,
                0.998967768725439,
                6.605212889714584e-05,
                0.9999756997535132,
                0.9999885212346156,
                0.9997965729323444,
                8.481106132783505e-05,
                3.12019076269651e-05
            ],
            [
                0.9996200155232324,
                0.9796676465460354,
                0.99996879809608,
                0.9999724642990617,
                0.9995694428705526,
                0.999664649971091,
                0.9994472213917935,
                0.9996200154713965,
                0.9996200154709542,
                0.9999485578047742
            ],
            [
                1.4738983726184394e-05,
                0.00026119027481254345,
                0.9995694430172133,
                0.0011695102930693905,
                3.535623802655717e-05,
                1.3007131562514014e-05,
                0.0001584362723822792,
                0.9988304896181294,
                0.000139822040484859,
                7.484622709131757e-05
            ],
            [
                0.9933071488063855,
                0.9982992773045367,
                0.9992903295532635,
                0.999769493286337,
                0.9997388097586943,
                0.9996200155639362,
                0.994779873498789,
                0.060086643862295744,
                0.9998601779096583,
                0.99330714788695
            ],
            [
                0.9999485577620468,
                0.9999038975510705,
                0.9999038975745108,
                0.9999756997477129,
                0.9998601779597145,
                0.9953904279808712,
                0.9998415637656325,
                0.9999646437409081,
                0.9840936060722768,
                0.9999038975515403
            ],
            [
                0.9975273765315318,
                0.998967769194809,
                0.00048785703922222574,
                0.2689414213699951,
                1.473898196763166e-05,
                0.999796572930906,
                0.9964063975978241,
                0.37754066879814546,
                NaN,
                0.9579122725349515
            ],
            [
                0.9999938558232021,
                0.9999832985741949,
                0.0001795279202567287,
                0.8807970795424087,
                0.999993037745413,
                0.9998766054701126,
                0.9999930377445821,
                0.9999852610197972,
                0.9999974387174864,
                0.9999687980812655
            ],
            [
                0.9998204719918544,
                0.9992903295527268,
                0.5926665999540698,
                0.9997694933410937,
                0.5621765008857982,
                0.9875683474660242,
                0.9980732654929333,
                0.9770226310517259,
                0.9998415637459601,
                0.9995121428343023
            ]
        ]
    },
    {
        "q_id": "10642_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999986290427931,
                0.9999982396574162,
                0.9999869928730887,
                0.9999885212305062,
                0.999998790134028,
                0.9999930377404306,
                0.9999957771645419,
                0.9999646437408728,
                0.9999993524051246,
                0.9999970976866309
            ],
            [
                0.9999998555019274,
                0.9999998362622357,
                0.9999998874649318,
                0.9999996533672548,
                0.9999998362622942,
                0.9999998144608097,
                0.9999998144609423,
                0.9999999123575987,
                0.9999998724809875,
                0.9999997300422225
            ],
            [
                0.9999998144608981,
                0.9999997617630048,
                0.9999999006880668,
                0.9999998874649318,
                0.9999997300422869,
                0.9999997617630049,
                0.99999995308839,
                0.9999998144608317,
                0.9999997300420937,
                0.9999998362622357
            ],
            [
                0.9999997617630049,
                0.9999999006879721,
                0.9999998362622552,
                0.9999997897566589,
                0.9999999226558423,
                0.9999998555020135,
                0.9999999006881377,
                0.9999998144609645,
                0.99999976176309,
                0.999999554914895
            ],
            [
                0.9999546021421969,
                0.9999810748540167,
                0.9999785550567011,
                0.9999910603026305,
                0.9999756997679586,
                0.9999485577802218,
                0.9999869928684356,
                0.9999967112513266,
                0.9999810748562726,
                0.9999921107374145
            ],
            [
                0.9999999317439872,
                0.9999998874647306,
                0.999999789756634,
                0.9999999226557961,
                0.9999998362623528,
                0.999999814460876,
                0.9999998555019446,
                0.999999887464811,
                0.9999996533674202,
                0.9999998144609423
            ],
            [
                0.9999999006879838,
                0.9999998724809571,
                0.9999998362623138,
                0.9999998874648648,
                0.9999997617629764,
                0.9999997617630616,
                0.9999998362622357,
                0.9999998362623723,
                0.9999996940976636,
                0.9999999317439708
            ],
            [
                0.9999998144609423,
                0.9999998362623722,
                0.999999855501979,
                0.9999997897566589,
                0.9999997617630049,
                0.9999998724809419,
                0.999999855502048,
                0.9999998724809723,
                0.9999998724809115,
                0.9999998874649318
            ],
            [
                0.9999999006881496,
                0.9999996072138934,
                0.9999998144609202,
                0.9999998555019446,
                0.9999997897565838,
                0.9999997897566589,
                0.999999730042319,
                0.9999998144608538,
                0.9999996940978825,
                0.9999998362623723
            ],
            [
                0.9999996072138466,
                0.999999855502048,
                0.9999998555019446,
                0.9999999123574732,
                0.9999998144608981,
                0.9999998555019963,
                0.9999998555020135,
                0.9999998144608097,
                0.9999998362623528,
                0.9999997617631752
            ],
            [
                0.9999998724809419,
                0.9999997300422225,
                0.9999994284992805,
                0.9999996940978825,
                0.9999998144609423,
                0.9999998144609645,
                0.9999996072136592,
                0.9999996072137061,
                0.999999789756634,
                0.9999998362622552
            ],
            [
                0.9999991684717742,
                0.9999810748540182,
                0.999998629042303,
                0.9999938558261308,
                0.9999869928715365,
                0.9999938558239333,
                0.999972464315473,
                0.9999977396751633,
                0.9999869928684351,
                0.9999832985761665
            ],
            [
                0.9999998724809267,
                0.9999996940976636,
                0.99999976176309,
                0.9999998144609424,
                0.9999998874647306,
                0.9999998724809875,
                0.9999998144608981,
                0.9999998362623332,
                0.9999998362622357,
                0.9999997617631752
            ],
            [
                0.999999814460876,
                0.9999997300421903,
                0.9999999006880312,
                0.9999997300421581,
                0.9999998144608981,
                0.9999996533674202,
                0.9999997617631468,
                0.9999998724809116,
                0.9999998724809419,
                0.9999997617630049
            ],
            [
                0.9999997897565838,
                0.9999994956523514,
                0.9999998144609202,
                0.9999998362623528,
                0.9999998724809116,
                0.9999997300421581,
                0.9999998874647709,
                0.9999997897565587,
                0.9999996533672548,
                0.9999997617629764
            ],
            [
                0.9999982396561571,
                0.9999998362623332,
                0.9999986290426297,
                0.9999996072137529,
                0.9999996072137998,
                0.9999967112505425,
                0.9999992661787571,
                0.9999987901344607,
                0.9999984465022455,
                0.9999996533672136
            ],
            [
                0.9999995549149481,
                0.9999993524050474,
                0.9999997617630899,
                0.999999653367379,
                0.9999994956524115,
                0.9999998874647976,
                0.9999991684717742,
                0.9999998874647842,
                0.999999554914895,
                0.9999998555020307
            ],
            [
                0.999999789756634,
                0.9999997300421581,
                0.9999998362622747,
                0.9999998362622746,
                0.9999997617631753,
                0.9999998144608319,
                0.9999998362623138,
                0.9999998555019962,
                0.9999994956525918,
                0.9999998144608317
            ],
            [
                0.9999869928746374,
                0.9999996072137529,
                0.9999994956523514,
                0.9999995549150542,
                0.9999980052693274,
                0.9999994284997573,
                0.99999862904312,
                0.9999987901344607,
                0.9999977396762411,
                0.9999993524050473
            ],
            [
                0.9999999006880312,
                0.9999997617631469,
                0.9999998874649051,
                0.9999997897567341,
                0.9999996940977002,
                0.9999997617631183,
                0.999999912357515,
                0.9999996940978095,
                0.9999996940977731,
                0.9999997617631184
            ],
            [
                0.9999998362623723,
                0.999999912357515,
                0.9999998555019274,
                0.9999999006880312,
                0.9999998555019274,
                0.9999998555020306,
                0.9999999123575777,
                0.9999998555020134,
                0.9999999006881259,
                0.9999999123575672
            ],
            [
                0.9999998555019962,
                0.9999997617631183,
                0.9999997897567342,
                0.9999996940976272,
                0.9999997617630616,
                0.9999999317439383,
                0.9999996533673375,
                0.9999998724809571,
                0.9999998724809115,
                0.9999998724809267
            ],
            [
                0.9999977396757022,
                0.9999952149055117,
                0.9999967112505427,
                0.9999974387168733,
                0.9999996072136125,
                0.9999998362623137,
                0.9999989322968754,
                0.9999910603058275,
                0.999999495652652,
                0.99999976176309
            ],
            [
                0.9999998144608317,
                0.9999998144608098,
                0.999999730042319,
                0.999999352405279,
                0.9999997300422869,
                0.9999991684719725,
                0.999999428499553,
                0.9999998362623528,
                0.9999998144608317,
                0.999999789756634
            ],
            [
                0.9999997897566589,
                0.9999995549148419,
                0.999999266178932,
                0.9999996940978461,
                0.9999998144608317,
                0.9999997897567091,
                0.9999999006880668,
                0.9999998874647709,
                0.9999999006880785,
                0.999999495652652
            ],
            [
                0.9999999006880668,
                0.9999997617631469,
                0.9999998362623723,
                0.9999994956524114,
                0.9999998144608981,
                0.9999998362623723,
                0.9999992661786696,
                0.9999997300422225,
                0.9999999317439953,
                0.9999997617630616
            ],
            [
                0.999999887464811,
                0.999999931743979,
                0.99999976176309,
                0.9999998144608097,
                0.9999995549147889,
                0.9999997897566089,
                0.9999998874648379,
                0.9999997897566089,
                0.9999998362622746,
                0.9999998724809116
            ],
            [
                0.9999998144608981,
                0.9999999006881377,
                0.9999998362623137,
                0.9999994284995529,
                0.9999999006880904,
                0.9999998362623137,
                0.9999998362623137,
                0.9999999006880668,
                0.9999998874647306,
                0.999999855502048
            ],
            [
                0.9999998724809723,
                0.999999912357515,
                0.9999997300422547,
                0.9999997617630332,
                0.9999996533672962,
                0.9999999226557684,
                0.9999998555020307,
                0.9999994956523514,
                0.9999999397642796,
                0.9999997617631752
            ],
            [
                0.9999996072138465,
                0.9999957771655488,
                0.9999977396757022,
                0.9999996072136125,
                0.9999996072139402,
                0.9999989322968754,
                0.9999991684717741,
                0.9999984465026158,
                0.9999987901341723,
                0.9999945777816768
            ],
            [
                0.9999996533674615,
                0.9999997617630332,
                0.9999998874647976,
                0.9999998724809419,
                0.999999352404893,
                0.9999996940976272,
                0.9999996940976271,
                0.9999997617629763,
                0.9999996533674202,
                0.9999996940976272
            ],
            [
                0.9999998362622357,
                0.9999998555019618,
                0.9999997617631752,
                0.9999996533673375,
                0.9999998724809419,
                0.9999998724809116,
                0.9999998362622552,
                0.9999997897566089,
                0.9999998874647441,
                0.9999997617631469
            ],
            [
                0.999999789756684,
                0.9999999123575464,
                0.9999997300421581,
                0.9999999006881022,
                0.9999997617631752,
                0.9999994284996893,
                0.9999999226558514,
                0.9999996533673375,
                0.9999997300420939,
                0.9999998144609645
            ],
            [
                0.9999997300421581,
                0.9999997300423191,
                0.9999997617629764,
                0.9999996072138466,
                0.9999990577557432,
                0.9999995549150542,
                0.9999995549151072,
                0.9999994284993486,
                0.9999997617631752,
                0.9999996940978095
            ],
            [
                0.9999998362622943,
                0.9999998144609202,
                0.9999998144609202,
                0.9999996940977002,
                0.9999998362622942,
                0.999999789756634,
                0.9999998555019446,
                0.9999997897565587,
                0.9999998724809115,
                0.9999996533673375
            ],
            [
                0.9999970976880148,
                0.9999724643089054,
                0.9999991684719723,
                0.9999938558246659,
                0.999998790134028,
                0.9999997617630617,
                0.9999996533674614,
                0.9999987901344607,
                0.9999998555020307,
                0.9999991684722698
            ],
            [
                0.9999994956525918,
                0.9999998555019274,
                0.999999554914895,
                0.9999997897567091,
                0.9999997617630616,
                0.9999994956526519,
                0.9999998144609645,
                0.9999998362623332,
                0.999999694097846,
                0.999999814460876
            ],
            [
                0.9999998144608981,
                0.9999998724810027,
                0.9999998555019618,
                0.999999789756684,
                0.9999996940978825,
                0.9999999123574732,
                0.9999997617631184,
                0.9999997897566089,
                0.9999997617630616,
                0.9999999468421249
            ],
            [
                0.9999993524052019,
                0.9999996940978095,
                0.9999996072138465,
                0.9999997897565587,
                0.9999997617629763,
                0.9999997617630616,
                0.9999996940977002,
                0.9999996533674201,
                0.9999996533674615,
                0.9999996533675028
            ],
            [
                0.9999997617630899,
                0.9999997897567091,
                0.9999998874647574,
                0.9999998724809723,
                0.9999995549150011,
                0.9999998362622747,
                0.9999998555020135,
                0.9999998144609645,
                0.9999996940976636,
                0.9999997300422869
            ],
            [
                0.9999998724809267,
                0.9999998724808964,
                0.9999997617631469,
                0.9999999123574732,
                0.9999998144609202,
                0.9999998362622357,
                0.9999997300422869,
                0.9999998724809419,
                0.9999998362623723,
                0.9999996533672962
            ],
            [
                0.9999998144608097,
                0.999999730042319,
                0.9999997617631752,
                0.9999997300420937,
                0.9999998362622942,
                0.9999998362622552,
                0.9999996940976272,
                0.9999996940976272,
                0.999999814460854,
                0.9999997617631468
            ],
            [
                0.9999997300422225,
                0.9999998724809571,
                0.999999900688043,
                0.9999998555020135,
                0.9999996940978825,
                0.9999998724808963,
                0.9999997617629764,
                0.9999997300421581,
                0.9999997617631184,
                0.9999997617630616
            ],
            [
                0.9999997617629763,
                0.9999998555019274,
                0.9999996940977731,
                0.9999980052693275,
                0.9999996940978095,
                0.9999995549148419,
                0.999999900688043,
                0.9999998362622747,
                0.9999998144608097,
                0.9999999226557684
            ],
            [
                0.9999998362623332,
                0.9999996940978095,
                0.9999999123575777,
                0.999999730042319,
                0.9999998724809267,
                0.9999996940976272,
                0.9999998555019618,
                0.9999998555019963,
                0.9999997617631184,
                0.9999998144608981
            ],
            [
                0.9999998144609424,
                0.9999999317439221,
                0.9999996533672135,
                0.9999998874647574,
                0.999999694097846,
                0.9999997617630616,
                0.9999997897567342,
                0.9999999006880075,
                0.9999996940976636,
                0.9999987901337396
            ],
            [
                0.9999994284997573,
                0.9999993524050474,
                0.999999266179107,
                0.9999998555019274,
                0.9999996940977366,
                0.9999995549151072,
                0.9999999317439464,
                0.9999995549148419,
                0.9999995549147889,
                0.9999998555020135
            ],
            [
                0.9999998555019274,
                0.999999855502048,
                0.9999998555019618,
                0.9999998874647574,
                0.9999999317439953,
                0.9999998874648782,
                0.9999995549147358,
                0.9999998724808963,
                0.9999998362622357,
                0.9999997897566589
            ],
            [
                0.9999998724809267,
                0.9999998144608097,
                0.9999998874647574,
                0.9999998362623138,
                0.9999996072136592,
                0.999999855501979,
                0.9999998874647842,
                0.9999997617631183,
                0.9999999317439302,
                0.9999999226557592
            ],
            [
                0.9999999397642796,
                0.999999730042319,
                0.9999999468421692,
                0.9999999123575359,
                0.9999999123575672,
                0.9999998144608097,
                0.9999998724809571,
                0.9999996940976272,
                0.999999931743979,
                0.9999998724809875
            ],
            [
                0.9999986290432835,
                0.9999898700102279,
                0.9999977396765105,
                0.9999977396751633,
                0.9999997617630333,
                0.9999994956524114,
                0.999999057755069,
                0.9999996072138934,
                0.9999980052693274,
                0.999998790134605
            ],
            [
                0.9999991684720715,
                0.9999898700102282,
                0.9999990577555185,
                0.999999730042126,
                0.9999984465022455,
                0.9999996072138934,
                0.9999952149072167,
                0.9999996940977366,
                0.9999987901347491,
                0.9999990577551815
            ],
            [
                0.9999998555019274,
                0.9999998555019618,
                0.9999998874647306,
                0.9999998555019446,
                0.9999998144609424,
                0.9999998144608538,
                0.9999997897565587,
                0.9999998362622746,
                0.9999998144609644,
                0.9999996533674615
            ],
            [
                0.9999938558246657,
                0.9999998144609202,
                0.9999869928730862,
                0.9999998144609202,
                0.9999989322967482,
                0.9999869928746368,
                0.999999694097846,
                0.9999997617631469,
                0.9999962733616043,
                0.9999996940978095
            ],
            [
                0.9999997897566089,
                0.999999855501979,
                0.9999999468421883,
                0.9999999006880785,
                0.9999998874647976,
                0.9999998555019446,
                0.9999998144609202,
                0.9999998362623332,
                0.9999998144609645,
                0.999999814460854
            ],
            [
                0.9999996940976272,
                0.9999996533673375,
                0.9999998555019962,
                0.9999998362622746,
                0.9999998874647842,
                0.9999997300421581,
                0.9999993524052018,
                0.9999996072139402,
                0.9999998724809571,
                0.9999987901344607
            ],
            [
                0.9999999317439627,
                0.99999976176309,
                0.9999998362623332,
                0.9999998362623528,
                0.9999998555019618,
                0.9999998724809267,
                0.9999998362623528,
                0.999999900688043,
                0.9999998362623332,
                0.9999997897565838
            ],
            [
                0.9999952149049349,
                0.9999986290424664,
                0.9999990577552937,
                0.9999885212359804,
                0.9999993524051246,
                0.9999984465016899,
                0.9999810748562783,
                0.9999930377420909,
                0.9999945777810307,
                0.99999862904312
            ],
            [
                0.9999980052709919,
                0.9999938558224687,
                0.9999989322972572,
                0.9999984465016899,
                0.999999554914895,
                0.9999967112513268,
                0.9999974387168733,
                0.9999977396759716,
                0.9999986290427931,
                0.9999930377462403
            ],
            [
                0.9999994284997573,
                0.999999554914789,
                0.9999997897566089,
                0.9999997617630616,
                0.9999997300422225,
                0.9999987901344608,
                0.9999991684721706,
                0.9999995549150011,
                0.9999993524054334,
                0.9999994956525918
            ],
            [
                0.9999999123574941,
                0.9999997897567091,
                0.9999998144608319,
                0.9999998724810027,
                0.9999997897565838,
                0.9999998362622747,
                0.9999996940976636,
                0.9999998724809419,
                0.999999855501979,
                0.999999694097846
            ],
            [
                0.9999998144608981,
                0.9999996940977366,
                0.9999998874648917,
                0.9999997300422869,
                0.9999997300420937,
                0.999999855502048,
                0.9999999123574732,
                0.999999814460876,
                0.9999999006879721,
                0.9999998555019274
            ],
            [
                0.9999997897566089,
                0.9999998555019962,
                0.9999996533674202,
                0.9999997897566089,
                0.9999998874647574,
                0.9999999006881259,
                0.9999995549147359,
                0.9999998362623332,
                0.9999998144609424,
                0.9999996940977731
            ],
            [
                0.9999997897565587,
                0.9999996940977366,
                0.999999887464811,
                0.9999998144608981,
                0.9999999226557869,
                0.9999999006881496,
                0.9999998144609203,
                0.999999887464811,
                0.999999931743979,
                0.9999998724809874
            ],
            [
                0.999948557774109,
                0.999569442910158,
                0.9999785550413627,
                0.9993736658252764,
                0.9999599363221504,
                0.9998415638399263,
                0.9999724643187523,
                0.9999546021259557,
                0.9999546021313743,
                0.9999785550592574
            ],
            [
                0.9999990577555185,
                0.9999997300422869,
                0.9999997300422225,
                0.9999996533672963,
                0.9999994956527121,
                0.9999997617630332,
                0.999999730042126,
                0.9999997617629764,
                0.9999994956524716,
                0.9999996940978095
            ],
            [
                0.999999887464744,
                0.999999789756634,
                0.9999999123574419,
                0.999999814460876,
                0.9999999317439627,
                0.9999997897567342,
                0.9999998362622552,
                0.9999998555020306,
                0.9999997897565587,
                0.9999999006880668
            ],
            [
                2.7535700941409604e-05,
                4.222834451292594e-06,
                6.144177531459659e-06,
                1.6701421842140854e-05,
                2.561282516042282e-06,
                1.3007125361448172e-05,
                2.9023116391477434e-06,
                2.2603248367656408e-06,
                1.0129994601688632e-05,
                1.67014178590634e-05
            ],
            [
                0.9999997617630616,
                0.999999266178757,
                0.9999998724809267,
                0.9999999006879838,
                0.9999998362623722,
                0.9999998724809571,
                0.9999997300421903,
                0.9999992661792819,
                0.9999996533673375,
                0.9999998144609423
            ],
            [
                0.9999980052693274,
                0.9999987901338839,
                0.9999989322966208,
                0.9999990577554061,
                0.9999982396565767,
                0.999998790134028,
                0.9999952149055054,
                0.9999724643023361,
                0.9999945777829694,
                0.9999977396754327
            ],
            [
                0.9999970976873229,
                0.9999994956525918,
                0.9999994284996891,
                0.9999993524051246,
                0.999999730042319,
                0.9999994284995529,
                0.9999987901343165,
                0.9999994956527121,
                0.9999994284993485,
                0.9999994284994849
            ],
            [
                0.9999999123574523,
                0.999999730042126,
                0.999999653367379,
                0.9999997617630616,
                0.9999999006880075,
                0.9999997897566089,
                0.9999991684717741,
                0.9999997897567341,
                0.9999999006880075,
                0.9999998555019618
            ],
            [
                0.9999996533672549,
                0.9999998144609202,
                0.9999998555020135,
                0.999999730042319,
                0.9999994956524716,
                0.9999998724808963,
                0.9999997897565587,
                0.9999994956526519,
                0.9999996533674201,
                0.9999996533673788
            ],
            [
                0.9999997617630332,
                0.9999998724809419,
                0.9999997897565587,
                0.9999998555020135,
                0.999999694097846,
                0.9999998362622552,
                0.9999999317440034,
                0.9999998874648379,
                0.9999998362623138,
                0.9999997617630048
            ],
            [
                0.9999992661791945,
                0.9999996533673788,
                0.9999996072138465,
                0.9999996533672962,
                0.9999991684720715,
                0.9999982396572064,
                0.9999974387180947,
                0.9999898700041899,
                0.999999554914895,
                0.9999993524052018
            ],
            [
                0.9999999317439627,
                0.9999998362623528,
                0.9999998362623138,
                0.9999998362623528,
                0.9999998362623138,
                0.9999996940978095,
                0.9999999123575777,
                0.9999999397642725,
                0.999999789756684,
                0.9999998724809267
            ],
            [
                0.9999996940977002,
                0.9999996940977366,
                0.999999789756634,
                0.9999997300421903,
                0.999999352404893,
                0.9999998555019274,
                0.9999994284995529,
                0.9999994284994168,
                0.9999994956527721,
                0.9999994284994167
            ],
            [
                0.9999996533673375,
                0.9999998144608317,
                0.9999997300421903,
                0.999999814460876,
                0.9999998362622943,
                0.9999994284992805,
                0.9999998144609423,
                0.9999997617631184,
                0.9999998362623332,
                0.9999999123575464
            ],
            [
                0.9999997300420937,
                0.9999997897565838,
                0.9999996072138465,
                0.9999994284994167,
                0.999999953088362,
                0.9999997300420937,
                0.9999994956524114,
                0.9999996940976272,
                0.999999554914842,
                0.9999998144608097
            ],
            [
                0.9999995549150542,
                0.9999997617631469,
                0.9999995549150542,
                0.9999996533674202,
                0.9999997617630899,
                0.9999996072137061,
                0.9999998144608981,
                0.999999789756634,
                0.9999995549150542,
                0.9999998874649318
            ],
            [
                0.9999991684721706,
                0.9999996940977002,
                0.9999996533673788,
                0.999999939764294,
                0.999999694097846,
                0.9999998555020306,
                0.9999998144609202,
                0.9999998555019274,
                0.9999994956527722,
                0.9999993524052018
            ],
            [
                0.9999998362622746,
                0.9999998555020135,
                0.9999997897567342,
                0.9999998724809571,
                0.9999998362622552,
                0.9999998144608097,
                0.9999998555019446,
                0.9999998362622943,
                0.9999998144608317,
                0.9999998144609202
            ],
            [
                0.9999998724809875,
                0.9999997897565587,
                0.9999997300421581,
                0.9999998362623138,
                0.9999998362623723,
                0.9999997897566589,
                0.9999999006880668,
                0.9999996072137998,
                0.9999996533673375,
                0.9999997897567091
            ],
            [
                0.9999996072138934,
                0.9999998144608317,
                0.9999997300422547,
                0.9999998144609203,
                0.9999996940978095,
                0.9999998144608097,
                0.9999996533672549,
                0.9999999226557776,
                0.9999997300422869,
                0.9999996533674615
            ],
            [
                0.9999998555019618,
                0.9999998362623528,
                0.9999997300422225,
                0.9999992661790195,
                0.9999998144608097,
                0.9999996533673375,
                0.999999887464811,
                0.9999996940976272,
                0.9999995549149481,
                0.9999999006879957
            ],
            [
                0.9999998144609423,
                0.9999998874648514,
                0.9999997300420937,
                0.9999999226558237,
                0.9999997300422225,
                0.9999998362623137,
                0.9999998144608097,
                0.9999998362622552,
                0.9999998874647709,
                0.9999999226558237
            ],
            [
                0.9999998362623332,
                0.999999495652712,
                0.9999997300422547,
                0.9999997617630616,
                0.9999998144608317,
                0.9999998555020307,
                0.9999999317439708,
                0.9999997300422225,
                0.9999998724809571,
                0.9999996940977731
            ],
            [
                0.9999999123574732,
                0.9999996533672135,
                0.9999998555019446,
                0.9999996940978461,
                0.9999996533672549,
                0.9999996072137998,
                0.9999992661787571,
                0.9999996072137998,
                0.9999997897567341,
                0.9999998362622943
            ],
            [
                0.9999995549147359,
                0.9999938558261304,
                0.9999998555020135,
                0.9999996533674615,
                0.9999962733602716,
                0.9999930377445804,
                0.9999945777797374,
                0.9999810748472479,
                0.9999885212359796,
                0.9999952149032236
            ],
            [
                0.9999997897567091,
                0.9999997617631184,
                0.999999694097846,
                0.9999998144608098,
                0.9999996940977366,
                0.9999998724809267,
                0.9999998555020306,
                0.999999912357515,
                0.9999999123574732,
                0.9999996072136593
            ],
            [
                0.9999995549147359,
                0.9999974387184,
                0.9999994956524715,
                0.9999938558224687,
                0.9999989322972572,
                0.9999989322967481,
                0.9999992661792819,
                0.9999980052693274,
                0.99999862904312,
                0.9999938558224682
            ],
            [
                0.9999997617630616,
                0.9999998362622357,
                0.9999992661792819,
                0.9999998555019618,
                0.9999997617631183,
                0.9999998362622552,
                0.9999998362623723,
                0.9999998724809115,
                0.9999998724809723,
                0.9999997897565587
            ],
            [
                0.9999962733598275,
                0.9999996533675028,
                0.9999724643154663,
                0.9999869928668841,
                0.9999910603015649,
                0.9999957771670588,
                0.9999997897567341,
                0.9999996533674202,
                0.9999989322967481,
                0.9999962733611601
            ],
            [
                0.9999998555020135,
                0.9999996072137061,
                0.9999998555019962,
                0.9999996533672962,
                0.9999999006880549,
                0.9999999006879957,
                0.9999996940976272,
                0.9999993524053562,
                0.9999996940977002,
                0.9999996533675028
            ],
            [
                0.9999997300421903,
                0.9999994956527121,
                0.9999996533674202,
                0.9999997617631752,
                0.9999995549151072,
                0.9999998362622552,
                0.9999996533672548,
                0.9999998144609202,
                0.999999554914895,
                0.9999991684721707
            ],
            [
                0.9999991684721706,
                0.99999893229713,
                0.999999554914895,
                0.9999984465016899,
                0.9999994284992805,
                0.9999996072137061,
                0.9999995549148419,
                0.9999993524052018,
                0.9999986290423029,
                0.9999993524052019
            ],
            [
                0.999999814460876,
                0.9999997897565838,
                0.9999998724810027,
                0.9999998555019962,
                0.9999999226557131,
                0.9999998724809419,
                0.9999998362623723,
                0.9999997617630616,
                0.9999997617630616,
                0.9999997300422225
            ],
            [
                0.9999998144608097,
                0.9999996533673375,
                0.9999998724809115,
                0.9999998555020306,
                0.9999998144609203,
                0.9999997897567342,
                0.9999998874648246,
                0.9999998144609203,
                0.9999997897565587,
                0.9999998874648648
            ],
            [
                0.9999997300420937,
                0.9999989322970028,
                0.9999997897566589,
                0.9999998874648379,
                0.999999694097846,
                0.9999997897565838,
                0.999999814460854,
                0.9999994284996893,
                0.9999994284992805,
                0.9999986290424664
            ],
            [
                0.9999998724808963,
                0.9999996072136125,
                0.9999998555020134,
                0.9999996533674615,
                0.9999995549150542,
                0.9999997617630899,
                0.9999996940977731,
                0.999999855501979,
                0.9999997897567341,
                0.9999991684715758
            ],
            [
                0.9999970976873229,
                0.9999994284996211,
                0.9999992661787571,
                0.9999945777784449,
                0.9999990577552937,
                0.9999977396754327,
                0.9999986290426297,
                0.9999987901337396,
                0.9999998724809267,
                0.9999967112497585
            ],
            [
                0.9999996533672962,
                0.9999997897567091,
                0.999999730042126,
                0.9999997897567091,
                0.9999997617630049,
                0.9999998144608981,
                0.9999998555020135,
                0.9999998362622942,
                0.999999789756634,
                0.9999999226557592
            ],
            [
                0.999999789756684,
                0.999999900688043,
                0.9999996940977002,
                0.9999998362623138,
                0.9999997897567342,
                0.9999998724808964,
                0.9999997897567091,
                0.9999998724809875,
                0.9999996940976271,
                0.9999999226558053
            ],
            [
                0.9999996940976272,
                0.9999999123575359,
                0.999999887464744,
                0.9999999006880194,
                0.9999997617631469,
                0.9999997897566589,
                0.9999999226557224,
                0.9999997617630048,
                0.9999999226557961,
                0.9999998724810027
            ],
            [
                2.4300234902055345e-05,
                1.0129989770441144e-05,
                1.6701425823457267e-05,
                2.9023133689924295e-06,
                6.1441724044534996e-06,
                1.1478770859624945e-05,
                4.006368262694324e-05,
                2.1444943300075563e-05,
                6.144174601499446e-06,
                1.1478765386623071e-05
            ],
            [
                0.9999998724809267,
                0.9999998724809875,
                0.9999998362623332,
                0.999999789756684,
                0.9999996533672549,
                0.9999999226557131,
                0.9999998555019963,
                0.9999998362623722,
                0.999999814460854,
                0.9999996533674614
            ],
            [
                0.9999990577552939,
                0.9999996533674615,
                0.9999998555019963,
                0.999999814460876,
                0.9999997617631752,
                0.9999996940977366,
                0.999999653367379,
                0.9999996072136593,
                0.9999996072139402,
                0.9999994284993486
            ],
            [
                0.9999997617631184,
                0.9999996940978825,
                0.9999998144609424,
                0.9999999317439464,
                0.9999998724809419,
                0.9999998362622552,
                0.9999998144608097,
                0.9999997617630049,
                0.9999995549150542,
                0.9999999006880194
            ],
            [
                0.9999998555020307,
                0.9999998555019618,
                0.9999997300422225,
                0.9999996072136125,
                0.9999995549149481,
                0.9999997897566089,
                0.9999998724809419,
                0.9999996533672549,
                0.9999997617630048,
                0.9999996072136592
            ],
            [
                0.9999996940976636,
                0.9999999317439221,
                0.9999998362622552,
                0.9999998874649051,
                0.9999998874649184,
                0.999999855502048,
                0.9999997617630333,
                0.9999999226558053,
                0.999999912357515,
                0.9999998874648514
            ],
            [
                0.9999995549151072,
                0.9999995549149481,
                0.9999984465028012,
                0.9999993524050474,
                0.9999997617630616,
                0.999999653367379,
                0.9999998362622746,
                0.9999997617631468,
                0.9999992661786696,
                0.999999730042319
            ],
            [
                0.9999997617630049,
                0.9999994284997573,
                0.9999967112497586,
                0.999999057755743,
                0.9999982396559473,
                0.9999930377429258,
                0.9999898700078126,
                0.9999989322970027,
                0.9999998874648514,
                0.9999996533674202
            ],
            [
                0.999999855501979,
                0.9999997617631184,
                0.9999999006881377,
                0.999999855502048,
                0.9999998555019274,
                0.999999814460854,
                0.9999997300421581,
                0.9999997897567342,
                0.9999999226558145,
                0.9999998144609202
            ],
            [
                0.9999997897567091,
                0.9999997300422225,
                0.9999998144608317,
                0.9999996940977366,
                0.9999997897566589,
                0.9999997897567342,
                0.99999976176309,
                0.9999999123574941,
                0.9999996072137529,
                0.9999997300421581
            ],
            [
                0.9999997300421581,
                0.9999998555019446,
                0.9999997617630616,
                0.9999998724810026,
                0.9999998724809267,
                0.9999998874648379,
                0.9999998362623528,
                0.9999998144608981,
                0.9999998555020307,
                0.9999999317440197
            ],
            [
                0.9999970976880148,
                0.999997438717484,
                0.9999957771675623,
                0.9999989322966208,
                0.9999982396563669,
                0.9999993524054334,
                0.99999862904312,
                0.9999980052693274,
                0.9999990577551814,
                0.9999970976890529
            ],
            [
                0.9999999123575568,
                0.9999997897565838,
                0.9999997617630899,
                0.9999998555019446,
                0.9999998144609645,
                0.9999997897566089,
                0.9999998362623528,
                0.9999998144609424,
                0.9999997300421903,
                0.9999998362623138
            ],
            [
                5.1442219708855337e-05,
                3.5356254907513187e-05,
                4.006369694347607e-05,
                1.012999460150437e-05,
                6.962256249112569e-06,
                4.006367784140681e-05,
                5.1442232005568484e-05,
                0.00010889693486971388,
                2.7535684513582775e-05,
                2.753569437266178e-05
            ],
            [
                0.9999996533672135,
                0.9999999123574628,
                0.9999997897565838,
                0.9999997617630049,
                0.9999997897565587,
                0.9999999226557869,
                0.9999992661791944,
                0.9999996940978825,
                0.9999998362622747,
                0.9999999317439627
            ],
            [
                0.9999995549150011,
                0.9999998362623138,
                0.9999998724809571,
                0.9999998144608097,
                0.9999997617631752,
                0.9999994284994848,
                0.9999997897566089,
                0.9999998724809267,
                0.9999998724809571,
                0.9999997300421903
            ],
            [
                0.9999996533674201,
                0.9999998144609202,
                0.999999730042319,
                0.9999998144609423,
                0.9999997897565838,
                0.9999996533675028,
                0.9999989322971301,
                0.999999266179107,
                0.9999996940978825,
                0.9999990577555185
            ],
            [
                0.9999999006880549,
                0.9999997897566089,
                0.9999997300422225,
                0.9999997617631752,
                0.9999998724809875,
                0.9999998874647709,
                0.9999998874647709,
                0.9999997897566589,
                0.999999855501979,
                0.9999995549151072
            ],
            [
                0.9999998724809116,
                0.9999993524050473,
                0.999999266179107,
                0.9999994956527121,
                0.999999789756634,
                0.9999997617630616,
                0.9999998724809419,
                0.9999998362622943,
                0.9999996072137529,
                0.9999998362622552
            ],
            [
                0.9999999317439953,
                0.9999997897565838,
                0.999999789756684,
                0.999999887464744,
                0.9999998362623528,
                0.99999976176309,
                0.999999814460854,
                0.9999998555020135,
                0.999999855501979,
                0.9999998555019274
            ],
            [
                0.9999996940977001,
                0.9999995549147359,
                0.9999996072137529,
                0.9999993524054335,
                0.99999976176309,
                0.9999995549148419,
                0.9999992661787571,
                0.9999997897567341,
                0.9999997617630049,
                0.9999998555019274
            ],
            [
                0.9999987901346049,
                0.9999996940977001,
                0.9999993524051246,
                0.9999995549151072,
                0.9999996533675028,
                0.9999998362622552,
                0.9999998874648379,
                0.9999995549149481,
                0.9999998724808964,
                0.9999997300422869
            ],
            [
                0.9999996940976636,
                0.9999999226558145,
                0.999999789756684,
                0.9999998362622943,
                0.9999999397642868,
                0.9999998362622942,
                0.9999998144608319,
                0.9999998362622747,
                0.999999900688043,
                0.9999996940978095
            ],
            [
                0.9999997897566589,
                0.9999998362622942,
                0.999999855502048,
                0.9999998555020135,
                0.999999789756634,
                0.9999998362623722,
                0.9999997617629763,
                0.9999995549148419,
                0.9999998555019274,
                0.9999999006880904
            ]
        ]
    },
    {
        "q_id": "10543_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999998724809267,
                0.9999997300422869,
                0.9999996533674615,
                0.9999998724809419,
                0.9999999006880785,
                0.999999814460876,
                0.9999997617630332,
                0.9999998555020135,
                0.9999997300420937,
                0.9999995549147358
            ],
            [
                0.9999997300422547,
                0.9999997300421581,
                0.9999998362622747,
                0.9999996072138465,
                0.9999996940978095,
                0.9999997300422869,
                0.9999999006880785,
                0.9999997300421581,
                0.9999997897565838,
                0.9999998144609202
            ],
            [
                0.9999996533672962,
                0.9999998362623528,
                0.999999887464744,
                0.9999998144609202,
                0.9999997897565587,
                0.9999998555020307,
                0.999999495652652,
                0.9999998555019274,
                0.9999998555019446,
                0.9999998144608981
            ],
            [
                0.999999789756634,
                0.9999997617630333,
                0.9999998724809571,
                0.9999997300420939,
                0.9999997897566589,
                0.9999998144608097,
                0.9999998874648782,
                0.9999998724810027,
                0.9999994956524718,
                0.9999998724810027
            ],
            [
                0.9999997897567091,
                0.9999997617630616,
                0.9999996940977366,
                0.9999998362622747,
                0.9999998874648379,
                0.9999998362623137,
                0.9999998724810027,
                0.9999997897567091,
                0.9999997617631469,
                0.9999998362623332
            ],
            [
                0.999999694097846,
                0.9999997897567091,
                0.9999997617631752,
                0.9999996533672135,
                0.999999789756684,
                0.9999997617630616,
                0.99999976176309,
                0.9999997617630617,
                0.9999998724809267,
                0.9999997897566089
            ],
            [
                0.9999997617629764,
                0.9999996533674201,
                0.999999730042126,
                0.9999998724809267,
                0.999999694097773,
                0.9999997617629764,
                0.9999997897567341,
                0.999999789756634,
                0.9999996940976272,
                0.9999998724809267
            ],
            [
                0.9999998874649051,
                0.9999998144608097,
                0.9999998874648379,
                0.9999999397642365,
                0.9999998555020134,
                0.9999998144609423,
                0.9999998555019446,
                0.9999998362623138,
                0.9999998874649318,
                0.9999999123575987
            ],
            [
                0.9999999006880904,
                0.9999998724810027,
                0.999999900688043,
                0.9999997897566089,
                0.999999814460876,
                0.999999855501979,
                0.9999998362623138,
                0.9999998724809723,
                0.9999998144608097,
                0.9999994284997573
            ],
            [
                0.9999996533673375,
                0.9999997897565587,
                0.9999994956525918,
                0.9999997897567341,
                0.9999996072138934,
                0.9999992661791944,
                0.9999996533672549,
                0.99999976176309,
                0.9999993524049702,
                0.9999996533675028
            ],
            [
                0.9999997897566089,
                0.9999999123575568,
                0.999999814460876,
                0.9999998362622552,
                0.9999998144608981,
                0.9999997617630616,
                0.9999997617630616,
                0.9999998144609202,
                0.9999993524052789,
                0.9999989322975118
            ],
            [
                0.9999993524051246,
                0.9999997300421581,
                0.9999998724809875,
                0.9999997617629764,
                0.999999554914895,
                0.9999998362623137,
                0.9999998724809723,
                0.9999998362623332,
                0.9999997300421583,
                0.9999999226558053
            ],
            [
                0.9999999006881023,
                0.9999998724809419,
                0.999999789756684,
                0.9999997897567091,
                0.9999999123574628,
                0.9999997617630332,
                0.9999998362623138,
                0.9999997300420937,
                0.9999996940977731,
                0.9999999006881023
            ],
            [
                0.9999993524052019,
                0.999998790134028,
                0.9999970976866309,
                0.9999997300422225,
                0.9999977396754328,
                0.9999997897565838,
                0.999999057755743,
                0.9999995549149481,
                0.9999996940976272,
                0.9999994956525917
            ],
            [
                0.9999999006881377,
                0.9999998874647977,
                0.9999996940977002,
                0.9999997617630616,
                0.9999996072137529,
                0.9999997897567091,
                0.9999998144609202,
                0.999999887464744,
                0.9999998144608098,
                0.9999997300421903
            ],
            [
                0.9999999006881377,
                0.9999998874649318,
                0.9999998362622357,
                0.9999998724809723,
                0.9999997897567091,
                0.9999999006881496,
                0.9999998724809723,
                0.9999997617631752,
                0.9999998724809723,
                0.9999996533673375
            ],
            [
                0.9999991684717741,
                0.9999998144608981,
                0.9999999006879838,
                0.999999887464744,
                0.9999998144609644,
                0.999999814460876,
                0.999999887464744,
                0.9999998724809571,
                0.9999998724809571,
                0.999999694097846
            ],
            [
                0.9999998874648917,
                0.9999999123574523,
                0.9999998874648915,
                0.9999998724810026,
                0.9999999317439059,
                0.9999996533673375,
                0.9999997897566589,
                0.9999998874647709,
                0.9999999006880904,
                0.9999999006879957
            ],
            [
                0.9999997300421261,
                0.9999998724809267,
                0.9999998555019962,
                0.9999997617630616,
                0.9999996940977366,
                0.9999999123575778,
                0.9999997300422869,
                0.9999998724809723,
                0.9999998874647843,
                0.9999997300421903
            ],
            [
                0.9999998362623528,
                0.9999998362623528,
                0.9999998144608983,
                0.9999998362623137,
                0.9999996940978461,
                0.99999976176309,
                0.9999998555020135,
                0.9999998724809723,
                0.99999976176309,
                0.9999999006879838
            ],
            [
                0.9999996533675028,
                0.9999997617630049,
                0.9999997897566338,
                0.9999998362623137,
                0.9999998362623722,
                0.9999997617630616,
                0.9999997617630617,
                0.9999993524049703,
                0.999999694097846,
                0.9999998144608097
            ],
            [
                0.9999998144608317,
                0.9999996533672549,
                0.9999998555020307,
                0.9999997617630332,
                0.9999997897567341,
                0.9999998362623137,
                0.9999998362623332,
                0.9999998144609645,
                0.9999994284994167,
                0.9999999123575359
            ],
            [
                0.9999999226557592,
                0.9999999317440116,
                0.9999998874647306,
                0.9999999317439302,
                0.999999900688043,
                0.9999997897567091,
                0.9999994284992805,
                0.9999996940976636,
                0.9999998724809267,
                0.9999999123575568
            ],
            [
                0.9999995549151073,
                0.9999999006881496,
                0.9999998144608319,
                0.9999996533675028,
                0.9999999397642293,
                0.9999996072139402,
                0.9999998724809723,
                0.9999998144609424,
                0.9999997617631752,
                0.9999999006881141
            ],
            [
                0.9999994956527121,
                0.9999996533672549,
                0.999999730042319,
                0.9999996533672549,
                0.9999998362622357,
                0.9999999226557408,
                0.9999998874647574,
                0.9999996940977002,
                0.9999997300422547,
                0.9999998874648648
            ],
            [
                0.9999998362623722,
                0.9999998555019618,
                0.9999994284994167,
                0.9999999006880904,
                0.9999996940976272,
                0.9999998362622357,
                0.9999997617631184,
                0.9999998724808963,
                0.9999998362623723,
                0.9999998144608319
            ],
            [
                0.9999999006881377,
                0.9999999317439953,
                0.999999887464744,
                0.9999997300422547,
                0.9999999006881142,
                0.9999998362623723,
                0.9999998724808963,
                0.9999999123575255,
                0.9999998555020307,
                0.9999996533675028
            ],
            [
                0.9999998874649318,
                0.9999998874648647,
                0.9999999226557592,
                0.9999998874649184,
                0.9999998724808964,
                0.9999998362622357,
                0.9999998144608319,
                0.9999998724809116,
                0.9999998724809875,
                0.9999998874648112
            ],
            [
                0.9999997897566089,
                0.9999997897566589,
                0.9999996940977731,
                0.9999997897566589,
                0.9999998362623722,
                0.9999997617629764,
                0.9999997617631184,
                0.999999730042319,
                0.9999992661791944,
                0.9999995549149481
            ],
            [
                0.9999998555019618,
                0.9999997300422868,
                0.9999990577550691,
                0.9999998724809571,
                0.999999855502048,
                0.9999997897566589,
                0.9999998724809723,
                0.9999998874648647,
                0.999999730042319,
                0.9999991684718732
            ],
            [
                0.9999996072136125,
                0.9999996533674614,
                0.9999996072138465,
                0.9999994956527121,
                0.9999996072138934,
                0.9999998362623528,
                0.999999855501979,
                0.9999997897567342,
                0.9999998555019618,
                0.9999998555020307
            ],
            [
                0.9999995549149481,
                0.9999996072137529,
                0.9999996533672136,
                0.9999995549150011,
                0.9999997897567341,
                0.9999996533672136,
                0.9999998144609423,
                0.999999653367379,
                0.9999998144608097,
                0.9999989322972572
            ],
            [
                0.9999994284995529,
                0.9999997300421581,
                0.9999997897565587,
                0.9999996072136125,
                0.9999998144609423,
                0.9999998362623137,
                0.9999997897566089,
                0.9999998555019446,
                0.9999997617630616,
                0.9999998362623528
            ],
            [
                0.9999996533674202,
                0.9999995549150542,
                0.9999998724808963,
                0.9999994284996891,
                0.999999789756684,
                0.9999997897567091,
                0.9999996533673375,
                0.9999998362622552,
                0.9999998555019446,
                0.999999789756684
            ],
            [
                0.9999998724808963,
                0.9999998724809723,
                0.9999998555019962,
                0.9999998874649051,
                0.9999999006880312,
                0.9999999006881022,
                0.9999998362622357,
                0.999999900688043,
                0.9999997617631752,
                0.9999999006880785
            ],
            [
                0.9999996940976636,
                0.9999996940977001,
                0.9999999006881141,
                0.9999996940978825,
                0.9999997300421581,
                0.9999996072137529,
                0.9999998144609202,
                0.9999998362622943,
                0.9999999226557592,
                0.9999998555019274
            ],
            [
                0.999999789756684,
                0.9999999468421756,
                0.9999996940977002,
                0.9999999226558053,
                0.9999998724809115,
                0.9999998724809722,
                0.999999900688043,
                0.9999997897565838,
                0.999999789756684,
                0.9999998724808963
            ],
            [
                0.9999998555019446,
                0.9999998874648915,
                0.9999998555019962,
                0.9999998724809419,
                0.9999996940978095,
                0.999999694097773,
                0.999999855501979,
                0.9999994284994849,
                0.999999789756634,
                0.9999998724809115
            ],
            [
                0.9999998144608983,
                0.9999998724809267,
                0.9999999006879721,
                0.9999999397642725,
                0.9999996072137998,
                0.9999998555020135,
                0.9999999006880904,
                0.9999997617631469,
                0.9999998144609202,
                0.999999730042319
            ],
            [
                0.9999996940976272,
                0.9999999006879957,
                0.9999998144609644,
                0.9999999006879838,
                0.9999998724809419,
                0.9999998362622747,
                0.9999999123575568,
                0.9999993524052019,
                0.9999994284993486,
                0.99999976176309
            ],
            [
                0.9999997897567341,
                0.9999995549149481,
                0.9999996072136125,
                0.9999998362622552,
                0.9999998724809419,
                0.9999998724809723,
                0.99999976176309,
                0.9999994956527121,
                0.9999996940977366,
                0.9999994956526519
            ],
            [
                0.9999999006880785,
                0.9999990577556308,
                0.9999998724809267,
                0.9999998362622552,
                0.9999998724809875,
                0.9999998555020135,
                0.9999996072138465,
                0.9999996940978461,
                0.9999999006881141,
                0.9999997300421581
            ],
            [
                0.99999976176309,
                0.9999997897566089,
                0.9999998144608317,
                0.9999998362623332,
                0.9999998555019274,
                0.9999998555019962,
                0.9999997897567342,
                0.999999789756684,
                0.9999998874647842,
                0.9999998724809571
            ],
            [
                0.9999995549151073,
                0.999999931743979,
                0.9999998724809267,
                0.9999998144608319,
                0.9999996072137998,
                0.9999998724809723,
                0.9999997617630617,
                0.9999998874649318,
                0.9999999123575359,
                0.9999996940978825
            ],
            [
                0.999999730042126,
                0.9999998874649318,
                0.999999855502048,
                0.9999998362622942,
                0.9999996940977731,
                0.9999998555020135,
                0.9999999317439221,
                0.9999999006880312,
                0.9999999123575568,
                0.9999998555019963
            ],
            [
                0.99999976176309,
                0.9999999123574836,
                0.9999998144609202,
                0.9999998724808963,
                0.9999997300422547,
                0.9999997897565587,
                0.9999998724808963,
                0.9999998144608317,
                0.9999999123575359,
                0.9999998724809571
            ],
            [
                0.9999997897567341,
                0.9999998362623722,
                0.9999996940977731,
                0.999999814460876,
                0.9999996533675028,
                0.9999998144608319,
                0.999999789756684,
                0.9999997300422547,
                0.9999998144608319,
                0.9999998362623137
            ],
            [
                0.999999855501979,
                0.9999998362623528,
                0.9999996940978095,
                0.9999996072138934,
                0.9999996940978825,
                0.999999887464744,
                0.9999997617630049,
                0.9999998362623332,
                0.9999998362622552,
                0.9999996533672136
            ],
            [
                0.9999990577549569,
                0.9999996072137998,
                0.9999997897566589,
                0.999999789756634,
                0.9999998555019274,
                0.9999999317439872,
                0.9999998362623723,
                0.9999998362623528,
                0.9999998724809723,
                0.9999998724810027
            ],
            [
                0.9999998874648647,
                0.9999999006880312,
                0.9999999123574419,
                0.99999992265575,
                0.9999998874648514,
                0.9999999226558515,
                0.9999998555019274,
                0.9999998724809267,
                0.9999997300421903,
                0.9999999123575045
            ],
            [
                0.9999998144609645,
                0.9999997617630332,
                0.9999996940977731,
                0.9999998362622357,
                0.9999998724809875,
                0.9999998362623332,
                0.9999997897567341,
                0.9999997300421903,
                0.9999998874648647,
                0.999999730042319
            ],
            [
                0.9999992661786696,
                0.9999986290424663,
                0.9999991684715759,
                0.9999991684718732,
                0.9999785550566994,
                0.999993855824666,
                0.9999986290429566,
                0.9999986290421394,
                0.9999930377445806,
                0.999998629042303
            ],
            [
                0.9999998874648514,
                0.9999996940978825,
                0.9999998362622746,
                0.9999996940976271,
                0.9999997897566338,
                0.9999989322970028,
                0.9999998724809723,
                0.9999997897565838,
                0.9999997300422869,
                0.9999998144609424
            ],
            [
                0.9999999006881022,
                0.9999998362622747,
                0.9999998362622747,
                0.9999998724809875,
                0.9999998555019274,
                0.999999887464744,
                0.9999998724808963,
                0.9999998362623528,
                0.999999730042126,
                0.9999998144608538
            ],
            [
                0.9999991684720715,
                0.9999998555019274,
                0.9999994284995529,
                0.9999998362622552,
                0.9999998144609202,
                0.9999998555019446,
                0.9999998724809723,
                0.9999996072136125,
                0.9999998724809723,
                0.9999999006880785
            ],
            [
                0.9999994284992805,
                0.9999996072139402,
                0.9999998555019274,
                0.9999997617630049,
                0.9999998555019618,
                0.9999997300421581,
                0.9999997897566338,
                0.9999999468421565,
                0.9999998144608538,
                0.9999994284996891
            ],
            [
                0.9999997617631183,
                0.9999996533674202,
                0.999999814460876,
                0.9999997617631469,
                0.9999998362622357,
                0.9999996072136125,
                0.9999996940977731,
                0.9999996072138465,
                0.999999789756684,
                0.9999998362622943
            ],
            [
                0.9999998555019962,
                0.9999999006881022,
                0.9999991684716749,
                0.999999789756634,
                0.9999998874647441,
                0.9999998362622357,
                0.9999997300420939,
                0.9999999123574941,
                0.9999998362623332,
                0.999999814460854
            ],
            [
                0.9999998144609645,
                0.9999996940977366,
                0.9999997300422869,
                0.9999997897567341,
                0.9999996533673375,
                0.9999999226557776,
                0.9999998724808963,
                0.9999999006879957,
                0.9999997897566089,
                0.999999814460876
            ],
            [
                0.9999996940978095,
                0.9999998144608317,
                0.9999998724809419,
                0.9999999226557684,
                0.9999998144609203,
                0.9999998555020307,
                0.9999997617630616,
                0.9999999317440197,
                0.9999997617630332,
                0.9999999226558421
            ],
            [
                0.9999998362623138,
                0.9999998724809571,
                0.9999997617630332,
                0.9999998724809875,
                0.9999998874647574,
                0.9999998362622943,
                0.9999997897566089,
                0.9999997617631184,
                0.9999999006881377,
                0.9999998555019962
            ],
            [
                0.9999994956524716,
                0.9999998144609424,
                0.9999997897567091,
                0.9999996940978825,
                0.9999996533672962,
                0.9999996072136125,
                0.9999997617629764,
                0.9999994284992805,
                0.9999998144609202,
                0.9999998362622552
            ],
            [
                0.9999996940977002,
                0.9999996072138934,
                0.9999994284996893,
                0.9999996940977731,
                0.9999997897567091,
                0.9999996533672962,
                0.9999998144609424,
                0.999999352404893,
                0.9999995549151072,
                0.9999997617629764
            ],
            [
                0.9999995549148419,
                0.9999997617631183,
                0.9999996533672136,
                0.999999814460854,
                0.9999998362623332,
                0.9999995549147358,
                0.9999997617631469,
                0.999999789756684,
                0.9999998724810027,
                0.9999996072137529
            ],
            [
                0.999999887464744,
                0.9999996940978095,
                0.9999998362623332,
                0.9999999123574523,
                0.9999998144609423,
                0.9999998724809723,
                0.9999999123574836,
                0.9999997617629764,
                0.9999998362622746,
                0.9999996940977731
            ],
            [
                0.999999789756634,
                0.9999999226558423,
                0.9999998555020307,
                0.9999997897567091,
                0.9999998874648379,
                0.9999998555019274,
                0.9999998555019618,
                0.9999998555019618,
                0.9999999397642365,
                0.9999999006881496
            ],
            [
                0.9999997617631752,
                0.9999998144608097,
                0.9999999123574523,
                0.9999999006879838,
                0.9999997897567341,
                0.9999994284994848,
                0.9999998724808963,
                0.9999998555019618,
                0.9999996072138465,
                0.9999997617630333
            ],
            [
                0.9999339478474747,
                0.13296424535145931,
                0.9999852610232999,
                0.9999810748495034,
                0.9995694428586909,
                0.9999485577618425,
                0.9999852610110006,
                0.9995121427682832,
                0.9999930377404306,
                0.9994472214613196
            ],
            [
                0.9999997300422547,
                0.999999900688043,
                0.9999998362622943,
                0.9999994956527121,
                0.9999998555019963,
                0.9999996533674615,
                0.9999998724809571,
                0.9999997617631752,
                0.9999999123575672,
                0.9999998362622357
            ],
            [
                0.9999994284997573,
                0.9999994956524114,
                0.9999998144609202,
                0.9999990577552937,
                0.9999992661788446,
                0.9999997897565838,
                0.999999887464744,
                0.9999996072137529,
                0.9999997617629764,
                0.9999992661792819
            ],
            [
                0.9999998362622552,
                0.9999996533675028,
                0.9999996940977731,
                0.9999997897565838,
                0.9999991684721706,
                0.999999855502048,
                0.9999998555019274,
                0.9999994956525918,
                0.9999998362623137,
                0.999999855502048
            ],
            [
                0.9999998724810026,
                0.9999999006880668,
                0.9999998144608538,
                0.9999998362622746,
                0.9999998874649318,
                0.9999999226557316,
                0.999999931743979,
                0.9999998362622746,
                0.9999999123575777,
                0.9999999226558329
            ],
            [
                0.9999997897566589,
                0.9999999123574419,
                0.9999999123575777,
                0.9999999123575464,
                0.999999730042319,
                0.9999998724809267,
                0.9999998362622746,
                0.9999998362623137,
                0.9999997300421581,
                0.999999887464744
            ],
            [
                0.9999998144609423,
                0.9999998362623137,
                0.9999999006879721,
                0.9999998362623723,
                0.999999855502048,
                0.9999996940978095,
                0.9999996940978825,
                0.9999997300422225,
                0.9999997300421581,
                0.9999997897566089
            ],
            [
                0.9999998874649051,
                0.9999997897566589,
                0.99999976176309,
                0.9999997617631753,
                0.999999694097773,
                0.9999998144608983,
                0.9999997617631183,
                0.9999999226557408,
                0.9999998555019274,
                0.9999998874647842
            ],
            [
                0.9999997617630049,
                0.9999998555020134,
                0.9999998362622552,
                0.9999998362622943,
                0.9999998362622552,
                0.9999996533674201,
                0.9999996533672962,
                0.9999999123574836,
                0.9999996072138934,
                0.9999998724809419
            ],
            [
                0.9999996940976272,
                0.9999997617629763,
                0.9999998144609645,
                0.999999789756684,
                0.9999998724809571,
                0.999999789756634,
                0.999999789756684,
                0.9999996072136125,
                0.9999997300421581,
                0.9999996072136125
            ],
            [
                0.9999997617631184,
                0.9999998555019446,
                0.9999997300421581,
                0.9999994284993485,
                0.9999997897566089,
                0.9999998362623528,
                0.9999997300422225,
                0.9999999123575255,
                0.9999998362622357,
                0.999999855501979
            ],
            [
                0.9999996533674202,
                0.9999997300421903,
                0.9999998362623332,
                0.9999997300421581,
                0.9999998362622357,
                0.9999998555019963,
                0.999999887464744,
                0.9999997897566089,
                0.9999998362622357,
                0.9999998724809571
            ],
            [
                0.9999995549147359,
                0.9999994284996891,
                0.9999991684717742,
                0.9999996533672136,
                0.9999994956523514,
                0.9999997617631184,
                0.9999998724809267,
                0.9999998874648514,
                0.9999997300421581,
                0.9999996533674201
            ],
            [
                0.9999997300420937,
                0.9999998144609202,
                0.999999887464811,
                0.9999999123575045,
                0.9999998144609424,
                0.9999996940976272,
                0.9999999226557316,
                0.999999789756684,
                0.9999999226558237,
                0.9999996072139402
            ],
            [
                0.9999997617629764,
                0.9999998362622552,
                0.9999998724808963,
                0.9999998724809419,
                0.9999998144608319,
                0.9999998724809419,
                0.999999887464811,
                0.9999998362623723,
                0.9999999006880785,
                0.9999998724809875
            ],
            [
                0.999999653367379,
                0.9999995549150011,
                0.9999996533672549,
                0.9999994956525918,
                0.9999977396757022,
                0.9999997300422869,
                0.9999994284997573,
                0.9999994956524715,
                0.9999998555020135,
                0.9999998362622357
            ],
            [
                0.9999997897566589,
                0.9999998724809571,
                0.9999997300420937,
                0.9999998724810027,
                0.999999789756684,
                0.9999997897566338,
                0.9999996940976636,
                0.9999997897567091,
                0.9999997617631184,
                0.9999997617630616
            ],
            [
                0.9999996533675028,
                0.9999997617631468,
                0.9999998724809116,
                0.9999999123574941,
                0.9999998144609203,
                0.9999998724809875,
                0.9999995549147358,
                0.9999999123575568,
                0.9999998362622747,
                0.999999814460876
            ],
            [
                0.9999998144609423,
                0.9999996940978825,
                0.9999996533672549,
                0.9999998362622357,
                0.9999997617630048,
                0.999999554914789,
                0.9999997617631752,
                0.9999998362623722,
                0.9999996533672962,
                0.999999730042126
            ],
            [
                0.999999814460876,
                0.9999999123575359,
                0.999999887464744,
                0.9999996940976636,
                0.9999998874648647,
                0.9999998362622943,
                0.9999998874647976,
                0.9999998724809723,
                0.9999996940977002,
                0.9999998144609423
            ],
            [
                0.9999996940976272,
                0.9999999006881496,
                0.999999912357515,
                0.9999997897565587,
                0.9999997300421904,
                0.9999998555020306,
                0.9999998874648648,
                0.9999998874648379,
                0.9999999226557408,
                0.9999997897565838
            ],
            [
                0.999999266179107,
                0.9999997617629764,
                0.9999999006880194,
                0.9999997897566338,
                0.9999999006880904,
                0.9999991684715758,
                0.9999997897566589,
                0.9999998362623137,
                0.9999998362623723,
                0.9999997617630333
            ],
            [
                0.99999976176309,
                0.9999997897565838,
                0.9999998362623137,
                0.9999998362623137,
                0.9999996072136125,
                0.9999998144609423,
                0.9999998362623723,
                0.999999900688043,
                0.9999996940977002,
                0.9999996940977002
            ],
            [
                0.9999998362623138,
                0.9999998144609645,
                0.9999998555020134,
                0.9999998724809571,
                0.999999730042319,
                0.9999994284995529,
                0.9999996072137998,
                0.9999998362622357,
                0.9999998874648514,
                0.9999998144608538
            ],
            [
                0.9999998144608981,
                0.9999997617630616,
                0.9999996533674202,
                0.9999994956524716,
                0.9999997897565587,
                0.9999998144608319,
                0.999999653367379,
                0.999999855502048,
                0.999999694097846,
                0.9999996072139402
            ],
            [
                0.9999999123574941,
                0.9999997617629764,
                0.9999997300421903,
                0.9999997300422868,
                0.99999976176309,
                0.9999996072137529,
                0.9999996533672549,
                0.9999997617630049,
                0.9999998144608098,
                0.9999997300422547
            ],
            [
                0.9999997617631468,
                0.9999999397643156,
                0.999999789756684,
                0.9999999226557316,
                0.9999998874647842,
                0.9999997617629764,
                0.999999887464905,
                0.9999998724809875,
                0.9999997617630049,
                0.9999998874649051
            ],
            [
                0.9999999123574941,
                0.9999999123574419,
                0.9999998874648379,
                0.9999999317439383,
                0.9999999006880549,
                0.9999999006880668,
                0.9999999226557224,
                0.999999922655833,
                0.9999999123575568,
                0.9999998724809116
            ],
            [
                0.9999998362622942,
                0.999999352405279,
                0.9999998144608981,
                0.9999997897566089,
                0.9999996072136125,
                0.9999991684722697,
                0.9999998362623137,
                0.9999998555019618,
                0.9999990577556307,
                0.999999554914789
            ],
            [
                0.9999996533672962,
                0.9999997897566589,
                0.9999997897567091,
                0.999999814460854,
                0.9999993524051246,
                0.9999997617630616,
                0.9999999006879838,
                0.9999999006881023,
                0.999999789756684,
                0.9999996533672962
            ],
            [
                0.999999789756684,
                0.9999997300421581,
                0.9999998144609645,
                0.9999997897565587,
                0.999999855501979,
                0.9999998362622747,
                0.9999998362622943,
                0.9999997617630332,
                0.9999999123575568,
                0.999999730042126
            ],
            [
                0.9999998362622552,
                0.9999995549150011,
                0.9999997617631469,
                0.99999976176309,
                0.9999999317440116,
                0.9999998362623137,
                0.9999998874648245,
                0.9999996533674615,
                0.9999999006881023,
                0.9999998874648245
            ],
            [
                0.9999996940978461,
                0.9999991684721706,
                0.999999855501979,
                0.9999996072138934,
                0.9999998362622943,
                0.9999996940976272,
                0.9999996940978461,
                0.9999998724809419,
                0.9999997897567091,
                0.9999998362623528
            ],
            [
                0.9999999006880668,
                0.9999998555019274,
                0.9999998874648379,
                0.9999999317439464,
                0.9999998144609423,
                0.999999855501979,
                0.9999997300423191,
                0.9999999123575881,
                0.9999998724809419,
                0.9999996940978825
            ],
            [
                0.9999997617631469,
                0.999999789756684,
                0.9999996072138465,
                0.9999998362623528,
                0.9999997897567091,
                0.9999998362623332,
                0.9999989322975118,
                0.9999996072138934,
                0.9999999006880194,
                0.9999996072136592
            ],
            [
                0.9999997300421581,
                0.9999996940977366,
                0.9999998144608983,
                0.9999995549150542,
                0.9999997300421581,
                0.9999999006880075,
                0.9999996940977731,
                0.9999998362623137,
                0.9999996533674614,
                0.9999998724810026
            ],
            [
                0.9999996940976272,
                0.9999999123574628,
                0.9999997897566589,
                0.9999998874648782,
                0.9999995549147358,
                0.9999998724810027,
                0.9999995549150541,
                0.9999997300421903,
                0.9999998362623528,
                0.9999997300421903
            ],
            [
                0.9999998724809267,
                0.9999998555020135,
                0.9999997617630617,
                0.9999996072138465,
                0.9999998724808964,
                0.9999996940977002,
                0.9999998724809116,
                0.9999999006880904,
                0.999999887464744,
                0.9999997617629763
            ],
            [
                0.9999996940977002,
                0.9999996940977366,
                0.999999912357515,
                0.9999998874647843,
                0.9999999006880904,
                0.999999814460876,
                0.9999998144609645,
                0.9999996533674201,
                0.9999998724809874,
                0.999999887464905
            ],
            [
                0.9999997617631752,
                0.9999999006880312,
                0.9999997617631468,
                0.999999855502048,
                0.9999997617631469,
                0.999999912357515,
                0.9999999123574941,
                0.9999998362622552,
                0.9999998874649184,
                0.9999997897567091
            ],
            [
                0.99999976176309,
                0.9999997897566089,
                0.9999998555020135,
                0.9999997617631469,
                0.9999994956527721,
                0.9999997300423191,
                0.9999997617631468,
                0.9999998724809723,
                0.9999998144608097,
                0.9999998874648782
            ],
            [
                0.9999998555020307,
                0.9999997617631469,
                0.999999887464744,
                0.9999995549149481,
                0.9999999006880075,
                0.9999998724808963,
                0.9999997300422547,
                0.9999997897566089,
                0.9999998874648915,
                0.9999998874647842
            ],
            [
                0.999999900688043,
                0.9999998555020135,
                0.9999998874648379,
                0.9999998724810027,
                0.9999997300422547,
                0.9999997897566589,
                0.9999998555020135,
                0.9999998144609645,
                0.9999997617630049,
                0.9999997897567091
            ],
            [
                0.9999998874649318,
                0.9999998724809267,
                0.9999996940976636,
                0.9999998724809875,
                0.9999997617631184,
                0.9999998144609203,
                0.9999999006881259,
                0.9999998724809419,
                0.9999997897566089,
                0.9999996940978825
            ],
            [
                0.9999998874649318,
                0.9999996533672136,
                0.9999999006880312,
                0.9999998724808964,
                0.9999997617629764,
                0.9999999397643156,
                0.9999996072138465,
                0.999999554914789,
                0.9999996940977002,
                0.9999998724809875
            ],
            [
                0.9999999123575464,
                0.999999730042126,
                0.9999997617630049,
                0.9999994284997573,
                0.9999999123575045,
                0.9999998724809723,
                0.9999998144608319,
                0.9999997897566589,
                0.9999997617629764,
                0.9999998144608981
            ],
            [
                0.9999998555020307,
                0.9999998555019274,
                0.9999999123575255,
                0.9999997897565838,
                0.9999997300422547,
                0.9999997617631469,
                0.9999998362623332,
                0.9999997897566589,
                0.9999998144608317,
                0.9999997897566089
            ],
            [
                0.9999993524053563,
                0.9999994956524114,
                0.9999998144608097,
                0.9999998555019618,
                0.9999998724810027,
                0.9999997897566089,
                0.9999998362622747,
                0.9999998874647574,
                0.9999998362622747,
                0.9999998362623332
            ],
            [
                0.9999997897567091,
                0.9999998144608319,
                0.9999999006881259,
                0.999999814460876,
                0.9999997897566089,
                0.9999998874648514,
                0.9999999006881259,
                0.9999997617630616,
                0.9999998362623722,
                0.9999998362623528
            ],
            [
                0.9999998874649318,
                0.9999998724809419,
                0.9999998724809267,
                0.9999997300422547,
                0.9999998362622747,
                0.9999999226558145,
                0.9999998555019274,
                0.9999994956523514,
                0.9999999317439058,
                0.9999998144609644
            ],
            [
                0.9999998874648514,
                0.9999998362622552,
                0.9999996940977002,
                0.9999997300422547,
                0.9999997617631752,
                0.9999998362623137,
                0.999999855502048,
                0.9999998362623723,
                0.9999993524049702,
                0.9999998362622943
            ],
            [
                0.9999997300422868,
                0.9999996533674201,
                0.9999997300422225,
                0.9999998144608098,
                0.9999998144608983,
                0.9999994956527121,
                0.9999996940977731,
                0.9999996940977366,
                0.9999998555019618,
                0.9999998555020307
            ],
            [
                0.9999998724809267,
                0.999999855501979,
                0.9999999006880904,
                0.999999789756634,
                0.9999996940976636,
                0.9999998874647574,
                0.9999998555019618,
                0.9999998555019274,
                0.9999998362622747,
                0.9999997897566089
            ],
            [
                0.9999996072138465,
                0.9999998362623723,
                0.9999996533673788,
                0.9999999006880904,
                0.9999996072136125,
                0.9999998144609202,
                0.9999998362623528,
                0.9999998144608981,
                0.9999998555019446,
                0.9999998362622747
            ],
            [
                0.9999996533674615,
                0.9999998874648647,
                0.9999998144608981,
                0.9999998724809419,
                0.9999998874647574,
                0.9999998144609202,
                0.9999998724809722,
                0.9999998874647842,
                0.9999997617630616,
                0.9999997300422547
            ],
            [
                0.9999998874647574,
                0.9999998144609423,
                0.9999998555019274,
                0.9999999006881496,
                0.9999997617631752,
                0.9999997300421903,
                0.9999998362622746,
                0.9999994956527721,
                0.9999999006880075,
                0.9999998724809875
            ],
            [
                0.9999998724809875,
                0.9999998724809419,
                0.9999998144608981,
                0.9999998144608983,
                0.9999996072137061,
                0.9999997300422225,
                0.9999997897565587,
                0.9999998144608981,
                0.9999998555019791,
                0.9999998874648647
            ],
            [
                0.999999855502048,
                0.9999996940976272,
                0.9999997300420939,
                0.9999996940976636,
                0.9999997300422547,
                0.9999994956524115,
                0.9999999006879957,
                0.9999996533673375,
                0.9999998362623138,
                0.9999997897567091
            ],
            [
                0.9999999006880904,
                0.9999996940978825,
                0.9999998724809723,
                0.9999997617631184,
                0.9999997617630616,
                0.9999998144608538,
                0.9999998362623332,
                0.9999997617631752,
                0.9999999006881141,
                0.9999998874648379
            ],
            [
                0.9999999226557684,
                0.9999998874648781,
                0.999999855501979,
                0.999999554914842,
                0.9999998144608319,
                0.9999998555019618,
                0.9999998724809267,
                0.9999998555020307,
                0.9999998362622552,
                0.9999997617631184
            ],
            [
                0.9999998724809115,
                0.9999998724809723,
                0.9999997897567342,
                0.9999998724809723,
                0.9999998874647306,
                0.9999996940978095,
                0.9999999006880194,
                0.999999730042319,
                0.999999900688043,
                0.9999998362623137
            ]
        ]
    },
    {
        "q_id": "10686_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            68,
            69,
            70,
            72,
            73,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            115,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            54,
            55,
            67,
            71,
            78,
            110,
            116
        ],
        "rewards": [
            [
                3.1201918802543923e-05,
                2.1444940740066406e-05,
                4.222832940423847e-06,
                1.3007126910294786e-05,
                2.753568123767511e-05,
                1.4738981969615573e-05,
                1.1478765384430723e-05,
                1.4738985485166298e-05,
                2.430023493564795e-05,
                5.144221359998557e-05
            ],
            [
                1.0129992186774007e-05,
                6.9622595694023114e-06,
                1.0129994601688632e-05,
                7.889262585814522e-06,
                4.2228334445370225e-06,
                1.3007126913346863e-05,
                1.4738985483879434e-05,
                1.0129989771823107e-05,
                2.2603253755949437e-06,
                2.1444953522913026e-05
            ],
            [
                0.9999996533674201,
                0.9999994284994849,
                0.9999952149072169,
                0.9999992661791944,
                0.9999945777829702,
                0.9999938558232019,
                0.9999996533672549,
                0.9999993524052789,
                0.9999986290424663,
                0.9999991684718732
            ],
            [
                1.8925148236674017e-05,
                4.539786320660675e-05,
                3.5356259112640515e-05,
                6.605216039358521e-05,
                0.009708474529514918,
                1.300713311614059e-05,
                3.726638395611981e-06,
                0.00010889696109138246,
                2.1444958631232504e-05,
                0.00013982209003863654
            ],
            [
                0.9999485577679644,
                0.9999485578047674,
                0.9997388095980908,
                0.9999599362887278,
                0.9998911031167544,
                0.9999957771680659,
                0.9999646437450808,
                0.9999832985841314,
                0.9999756997563714,
                0.9999038976195017
            ],
            [
                0.5,
                0.9991959139614849,
                0.9990889488194806,
                0.9995121427680277,
                0.9989677690640817,
                0.9992903296517138,
                0.320821300824607,
                0.9902915231782762,
                0.9984988174373675,
                0.09534945654437685
            ],
            [
                2.1444950968441685e-05,
                4.006370650260296e-05,
                6.962255419051463e-06,
                5.829125857569945e-05,
                6.605212892597951e-05,
                0.00012339458959181795,
                2.1444958638526877e-05,
                0.00026119021432692016,
                1.3007125362820425e-05,
                0.00023050663161522516
            ],
            [
                1.1478768124324254e-05,
                1.8925148237775583e-05,
                1.4738980211920955e-05,
                1.1478773595657069e-05,
                8.939697369151141e-06,
                5.829127238482131e-05,
                6.9622545892184106e-06,
                2.1444948398445745e-05,
                2.14449535222109e-05,
                1.3007133115667397e-05
            ],
            [
                4.539786319570692e-05,
                1.3007133114886634e-05,
                6.962257079553702e-06,
                4.5397884871679096e-05,
                2.1444945855248125e-05,
                1.4738985485166298e-05,
                1.300712536203966e-05,
                7.889264466545779e-06,
                5.144221359998557e-05,
                1.4738981970956057e-05
            ],
            [
                0.06008664344151497,
                0.9770226322225538,
                0.9924227572719334,
                0.9465966717067253,
                0.8807970654616711,
                0.9579122681794381,
                0.9990889486792907,
                0.0011695101872694167,
                0.966914018751051,
                0.997199072855343
            ],
            [
                0.9999785550464758,
                0.9999832985741738,
                0.9996646499337424,
                0.9999599363030427,
                0.9999810748517602,
                0.9997388095662026,
                0.9998766054693604,
                0.9999756997650606,
                0.9998415637076294,
                0.9999785550439215
            ],
            [
                0.9999938558253982,
                0.9992903294674859,
                0.9995121428243399,
                0.9999038975735851,
                0.9999945777823233,
                0.9999756997505781,
                0.999991060303696,
                0.9999869928699859,
                0.9999910603004999,
                0.37754066879814546
            ],
            [
                0.9999910603026306,
                0.9999987901346049,
                0.9999921107364745,
                0.9999898700126437,
                0.9999546021259761,
                0.9999962733607161,
                0.9999945777810304,
                0.9999339478711452,
                0.9999885212264021,
                0.9999810748585343
            ],
            [
                3.120192622145237e-05,
                2.4300249420429837e-05,
                0.904650538956921,
                7.889261645090304e-06,
                2.4300240727367308e-05,
                1.147876538789672e-05,
                6.144173869240119e-06,
                1.0129988562661878e-05,
                3.1201907620154606e-05,
                2.4300232032009452e-05
            ],
            [
                0.9999991684716749,
                0.9999994284993486,
                0.9999982396559475,
                0.9999957771680659,
                0.9999989322970027,
                0.999999495652652,
                0.9999974387187053,
                0.9999994284993486,
                0.999999266179107,
                0.9999977396765105
            ],
            [
                0.00012339458927403105,
                2.1444956081636468e-05,
                1.1478769493331685e-05,
                5.829127935617924e-05,
                2.430023781329673e-05,
                4.5397890187331725e-05,
                0.00015843619756748776,
                0.9999339478553375,
                5.144220744171262e-05,
                1.1478765388314311e-05
            ],
            [
                0.9999997617630616,
                0.9999977396748939,
                0.9999970976880148,
                0.9999945777790913,
                0.9999982396574163,
                0.9999980052705163,
                0.9999970976887068,
                0.9999910603005003,
                0.9998415637078139,
                0.9999987901337396
            ],
            [
                2.7535697646567574e-05,
                0.0010322312399884304,
                1.67014297980912e-05,
                1.6701421838799146e-05,
                4.5397868612593344e-05,
                2.7535684530912436e-05,
                0.9995121428222395,
                7.484620908565215e-05,
                5.144219512778883e-05,
                1.8925145974191664e-05
            ],
            [
                0.98409361035831,
                3.120190391558324e-05,
                5.144222575709373e-05,
                2.4300237817893614e-05,
                0.0003353500209377781,
                2.1444953517842076e-05,
                6.605212098759701e-05,
                0.9978172840581991,
                0.00048785704640316605,
                0.9914225138972579
            ],
            [
                0.9999957771665555,
                0.9998766054546542,
                0.9999810748540162,
                0.9999724642957828,
                0.9999687980774912,
                0.9999921107383564,
                0.9997694932850896,
                0.999985261018029,
                0.9998415638019853,
                0.9999546021097344
            ],
            [
                1.8925157249015125e-05,
                1.0129987356375273e-05,
                1.8925148216088467e-05,
                1.3007134665674251e-05,
                1.6701419842521146e-05,
                1.1478772230407462e-05,
                1.473898899908247e-05,
                8.939697367264857e-06,
                8.93970056565517e-06,
                1.670141785596473e-05
            ],
            [
                0.0001795279656795199,
                0.00015843617879636877,
                5.829129333070513e-05,
                0.000123394633678021,
                0.00013982212412899281,
                4.0063687409856826e-05,
                0.00010889696094085623,
                0.0005527786671522758,
                7.484625401596508e-05,
                5.144221978689107e-05
            ],
            [
                0.9999151889485693,
                0.0011695102855899578,
                0.9971990731564389,
                0.9997694932579526,
                0.9999974387171787,
                0.9999646437493199,
                0.999968798092358,
                0.9995121427738178,
                0.9998911031168464,
                0.999964643749305
            ],
            [
                0.01590639270314218,
                0.9999038975621606,
                0.9991959140743787,
                0.9940889317758381,
                0.9986749773729727,
                0.9999599363173711,
                0.9999339478554703,
                0.9996646497358668,
                0.9995694430154095,
                0.9997388096285122
            ],
            [
                1.892515499555078e-05,
                1.4738985477605971e-05,
                1.8925148239772175e-05,
                1.4738988965275477e-05,
                1.012999580884213e-05,
                2.7535704219423216e-05,
                3.5356246366838624e-05,
                0.9820137867808721,
                2.4300252313020203e-05,
                2.753570421481532e-05
            ],
            [
                1.3007134665130082e-05,
                0.0001233945595618602,
                0.00013982202343663843,
                4.006370647374544e-05,
                0.0006263341599675854,
                0.00033535006154515406,
                3.12019076269651e-05,
                0.320821300824607,
                0.00020342694765960385,
                8.481106143026193e-05
            ],
            [
                0.00015843629177119916,
                0.0003353502659968298,
                0.999948557774109,
                0.9986749775778573,
                0.9999687980997901,
                0.9999785550567057,
                0.9999898700066056,
                0.999968798081195,
                0.9999546021421996,
                0.9999756997621777
            ],
            [
                0.99966464993103,
                5.829125855619084e-05,
                0.0001584362729193875,
                0.9996646499744278,
                2.7535684532815695e-05,
                0.9740426408242415,
                8.481107164765161e-05,
                0.99944722139025,
                0.999447221396939,
                3.535625070778844e-05
            ],
            [
                0.9999982396563669,
                0.99999893229713,
                0.999997438717484,
                0.9999996533674201,
                0.9999970976876689,
                0.9999910603036969,
                0.9999989322975118,
                0.9999938558275957,
                0.9999974387180947,
                0.9999952149037941
            ],
            [
                3.53562380286151e-05,
                0.00013982204046248067,
                4.539785775107612e-05,
                0.00010889688278765834,
                3.535626333641835e-05,
                2.7535691024028434e-05,
                5.829125847900465e-05,
                7.889266347456862e-06,
                4.539786321436876e-05,
                2.1444943292703185e-05
            ],
            [
                0.9820137893799213,
                0.09534946939781197,
                0.0159063929655524,
                0.9796676473993798,
                0.9995694430178019,
                0.24508500761839525,
                0.9820137912551844,
                0.9968273167134932,
                0.20181321745968234,
                0.1066905875547713
            ],
            [
                9.610240327239146e-05,
                0.00012339455998378054,
                0.0002959572382597393,
                0.000911051250773331,
                0.0002611903081218203,
                0.0002959570613996943,
                0.0059110690642014884,
                0.000379984480249827,
                0.004609573217764292,
                0.00010889696071902808
            ],
            [
                0.9996200155146319,
                0.9999151889587096,
                0.9986749775143893,
                0.9997965729545062,
                0.9998204719697386,
                0.9975273769926777,
                0.9989677689188291,
                0.9989677687408046,
                0.9978172833868066,
                0.9993736658206491
            ],
            [
                0.9991959141458845,
                0.999948557761856,
                0.9982992779832786,
                0.9993736657501482,
                0.9999151889889952,
                0.9998911030907467,
                0.9999038975965836,
                0.9999952149043648,
                0.9989677690509969,
                0.9999151889485693
            ],
            [
                0.9999646437619484,
                0.9998766054398672,
                0.9999485577740872,
                0.999290329753425,
                0.9998601779766366,
                0.9995121428965468,
                0.9999417087345216,
                0.9998911030649734,
                0.5,
                0.9998415637081712
            ],
            [
                0.8933094138654242,
                0.9997388096927597,
                0.9997965729297074,
                0.9998204720983982,
                1.473898899908247e-05,
                0.6513548782017745,
                0.999964643732444,
                0.9997388095998615,
                0.9999957771655488,
                0.9999885212332431
            ],
            [
                0.9999991684720715,
                0.9999962733607162,
                0.9999995549147358,
                0.9999994956526519,
                0.9999994956525317,
                0.9999989322975119,
                0.9999993524052019,
                0.9999991684718733,
                0.9999991684715759,
                0.9999994284997574
            ],
            [
                1.8925157261545463e-05,
                8.939693106020111e-06,
                1.4738981968462759e-05,
                0.0010322309055473176,
                0.9975273768927533,
                8.93969630226244e-06,
                6.144172401547709e-06,
                0.9820137918802722,
                0.987568348369306,
                4.006369693473136e-05
            ],
            [
                1.892515725376564e-05,
                2.1444940721576954e-05,
                6.1441753337365085e-06,
                8.939699499026267e-06,
                6.962255414631664e-06,
                6.144173136019732e-06,
                1.3007134660350856e-05,
                1.473898372500477e-05,
                6.144177531381426e-06,
                6.144177529855884e-06
            ],
            [
                0.9999982396565769,
                0.9999997897566089,
                0.9999991684721706,
                0.9999980052707541,
                0.9999989322967481,
                0.9999990577552937,
                0.9999992661787571,
                0.9999986290427932,
                0.9999991684722697,
                0.9999990577550691
            ],
            [
                0.9999996072138465,
                0.9999992661791944,
                0.9999986290426297,
                0.9999991684720715,
                0.9999994956527722,
                0.9999996072136592,
                0.9999992661790195,
                0.9999996533674614,
                0.999999266179107,
                0.9999995549147889
            ],
            [
                0.9999986290424663,
                0.9999996072137998,
                0.9999987901341726,
                0.9999984465022455,
                0.9999982396567867,
                0.9999974387171787,
                0.9999977396748938,
                0.9999910603047645,
                0.9999989322970027,
                0.9999991684719723
            ],
            [
                5.144219518243253e-05,
                1.3007126910294786e-05,
                2.7535687799708318e-05,
                8.939693106020111e-06,
                4.539787933439709e-05,
                3.535623798797096e-05,
                1.4738987239698005e-05,
                4.7850956352353935e-06,
                4.539789021837975e-05,
                5.8291244621538684e-05
            ],
            [
                0.9999974387187054,
                0.9999991684720715,
                0.9999996533674202,
                0.9999993524049703,
                0.9999986290421394,
                0.9999995549150542,
                0.999999266178757,
                0.9999996072137061,
                0.9999982396559474,
                0.999999352404893
            ],
            [
                3.1201907623673364e-05,
                2.144494328950459e-05,
                8.939695237813028e-06,
                2.1444940697470454e-05,
                1.670142383167491e-05,
                1.7603438427660027e-06,
                6.14417313680765e-06,
                8.939696302831578e-06,
                1.0129987356191011e-05,
                8.939696302652706e-06
            ],
            [
                0.9999945777797377,
                0.9999967112513266,
                0.9999989322968754,
                0.999996711252111,
                0.9999996940977366,
                0.9999987901341723,
                0.9988304899009879,
                0.9999970976887069,
                0.9999982396567868,
                0.9999990577550691
            ],
            [
                0.0019267342711085603,
                0.9914225142219733,
                0.9149009584734678,
                0.9959298620330542,
                0.014063625209518487,
                6.60521524508739e-05,
                0.9984988174104947,
                0.01798621361392022,
                0.995390428408192,
                0.9959298618273067
            ],
            [
                0.9999970976876694,
                0.9999852610127625,
                0.9999996072137061,
                0.9999938558239335,
                0.999999352405279,
                0.9999984465026158,
                0.9820137889851291,
                0.9859363718074466,
                0.999948557761846,
                0.9998204719915698
            ],
            [
                3.12019076269651e-05,
                1.6701429789281226e-05,
                0.9997388097841076,
                0.00012339463344461816,
                2.7535687811228037e-05,
                1.4738978454950406e-05,
                4.539787402089267e-05,
                0.00017952802779305056,
                4.006368735141308e-05,
                1.4738985484227961e-05
            ],
            [
                0.9999977396765105,
                0.9999952149032237,
                0.9999974387184,
                0.9999967112497586,
                0.999998005269803,
                0.9999986290429566,
                0.9999989322966208,
                0.9999962733620488,
                0.9999982396561571,
                0.9999982396569966
            ],
            [
                0.0031726831694264416,
                0.9999996533674615,
                0.9999724642990628,
                0.999999057755743,
                0.9999970976883612,
                0.9999986290427931,
                0.00033535021562296945,
                0.999998239656367,
                0.9999970976887068,
                0.9999151889182362
            ],
            [
                0.9999898700078143,
                0.9999989322968754,
                0.9999974387168734,
                0.9999980052702785,
                0.9999984465015047,
                0.9999989322970028,
                0.9999992661790196,
                0.9999990577549569,
                0.9999986290432835,
                0.9999994284993485
            ],
            [
                1.0129993393742954e-05,
                7.889259764079887e-06,
                4.222834451327159e-06,
                6.962253759752719e-06,
                4.222834451254188e-06,
                1.99472924590571e-06,
                1.3007123811229494e-05,
                2.5612812947077304e-06,
                2.902311984915459e-06,
                1.6701427813872793e-05
            ],
            [
                0.999704042868757,
                0.9997040429122939,
                0.00015843625257381782,
                0.9996646499070285,
                0.00010889692152200125,
                0.9959298625106149,
                0.9999251537728161,
                0.0004305570255361972,
                0.00012339461832549948,
                0.00020342706728867192
            ],
            [
                0.9999987901344608,
                0.9999991684715759,
                0.9999970976869769,
                0.9999910603036963,
                0.9999962733607161,
                0.9999989322975119,
                0.9999938558261305,
                0.9999984465026158,
                0.999999352404893,
                0.9999992661790196
            ],
            [
                0.9999987901347492,
                0.9999998362622552,
                0.9999994284996891,
                0.9999994956527721,
                0.9999998555020306,
                0.9999992661786696,
                0.9999998144609203,
                0.9999998362622357,
                0.9999994284994849,
                0.9999995549150011
            ],
            [
                0.999996711250935,
                0.9999938558224685,
                0.9999957771655488,
                0.9999970976876692,
                0.9999990577555185,
                0.9999974387180947,
                0.9999962733593833,
                0.9999910603058285,
                0.9999984465024306,
                0.9999921107364742
            ],
            [
                0.9999945777784452,
                0.999993037740431,
                0.9999996533672136,
                0.9999996072137061,
                0.9999996533672136,
                0.9999993524052019,
                0.9999993524050474,
                0.999997438717484,
                0.9999952149043647,
                0.9999974387187054
            ],
            [
                0.9999992661792819,
                0.9999994284994167,
                0.9999994956526519,
                0.999999495652712,
                0.9999995549150011,
                0.9999989322975118,
                0.9999546021476239,
                0.9998766053812974,
                0.9999994956526519,
                0.9999996940978095
            ],
            [
                1.8925150493717652e-05,
                1.147876675548402e-05,
                1.0129992186939844e-05,
                1.6701421842140854e-05,
                1.300713311517055e-05,
                1.1478773598329648e-05,
                1.1478766756214804e-05,
                2.1444948406091176e-05,
                6.9622537584863015e-06,
                1.5534975693347152e-06
            ],
            [
                0.9840936114662641,
                0.9971990726504938,
                0.9999599363078577,
                0.9988304896412477,
                0.9988304898762378,
                0.9999945777816769,
                0.9999756997679721,
                0.00013982205703668945,
                0.9999938558232008,
                0.9999785550413627
            ],
            [
                0.9999993524050474,
                0.9999996940976636,
                0.999999789756684,
                0.9999995549149481,
                0.999998629042303,
                0.9999996072137061,
                0.9999993524052019,
                0.9999990577551815,
                0.9999993524049703,
                0.9999982396567867
            ],
            [
                0.9999970976883609,
                0.9999938558239337,
                0.9999980052707541,
                0.9999970976866309,
                0.9999930377445808,
                0.9999977396757022,
                0.9999987901347491,
                0.999995214904935,
                0.9999987901338838,
                0.9999989322968753
            ],
            [
                0.9995694429684766,
                0.7057850216484838,
                0.00029595712469868363,
                0.9999485577619297,
                5.829127919374888e-05,
                0.9994472214824797,
                0.00017952798474717,
                0.9993736659476238,
                0.9998911031304238,
                0.9998204720774969
            ],
            [
                0.9999996072138465,
                0.9999990577551815,
                0.9999952149066472,
                0.9999992661786696,
                0.9999994956527721,
                0.9999991684721706,
                0.9999992661790196,
                0.9999994956523514,
                0.999998790134028,
                0.9999990577556308
            ],
            [
                0.9999994956527121,
                0.9999984465026159,
                0.9999986290431201,
                0.9999986290429568,
                0.999999266179107,
                0.9999967112501507,
                0.9999996072136592,
                0.9999810748495058,
                0.9999957771660521,
                0.9999938558261307
            ],
            [
                0.9999997300422225,
                0.9999989322972572,
                0.9999991684718732,
                0.9999996533674202,
                0.9999997300420937,
                0.9999989322975118,
                0.9999996072138465,
                0.9999994956524716,
                0.9999998362622357,
                0.9999992661791944
            ],
            [
                3.5356238044435446e-05,
                5.42221961567159e-06,
                2.9023112931873767e-06,
                8.939700566801578e-06,
                2.4300252315495453e-05,
                5.422219616140078e-06,
                8.9397005654763e-06,
                4.222835458148261e-06,
                1.147876949310201e-05,
                3.120192624733229e-05
            ],
            [
                0.9999970976883611,
                0.9999991684716749,
                0.9999996072137998,
                0.999999266178932,
                0.9999994956527121,
                0.9999980052695653,
                0.9999852610110006,
                0.9999957771650455,
                0.9999986290432837,
                0.9999785550413632
            ],
            [
                0.9999991684715758,
                0.9999993524051246,
                0.9999992661788446,
                0.9999990577550691,
                0.9999993524052019,
                0.9999990577555185,
                0.9999967112509347,
                0.999998239656367,
                0.9999984465024306,
                0.9999984465018751
            ],
            [
                0.9999990577556308,
                0.9999995549149481,
                0.999998239656367,
                0.9999992661786695,
                0.9999967112505428,
                0.9999982396559474,
                0.9999991684716749,
                0.9999974387187053,
                0.9999994284997573,
                0.9999994284992805
            ],
            [
                0.9959298615347301,
                0.9988304898950043,
                0.9999339478554106,
                0.999903897607966,
                0.9890130574200067,
                0.9968273169388177,
                0.9996646497301492,
                0.999860177859307,
                0.9995694428691246,
                0.9975273769616667
            ],
            [
                0.999769493367486,
                0.9840936097751763,
                0.9997965729779821,
                0.9998415637075049,
                0.9999485578047641,
                0.9999546021259533,
                0.9997965730994314,
                0.9982992774899356,
                0.9999417087553203,
                0.9971990725386396
            ],
            [
                1.6701423830702777e-05,
                2.4300243624818735e-05,
                1.6701427813417103e-05,
                1.300712846217e-05,
                2.4300232029003796e-05,
                6.962255419475714e-06,
                4.539786317522845e-05,
                1.8925145983795953e-05,
                1.4738980210687712e-05,
                4.5397879448184774e-05
            ],
            [
                0.9999938558261307,
                0.9999974387168734,
                0.9999990577551814,
                0.9999986290432834,
                0.9999986290432835,
                0.9999952149072169,
                0.9999962733616045,
                0.9999957771675625,
                0.999997438716568,
                0.9999977396759716
            ],
            [
                0.9999869928730867,
                0.999620015469086,
                0.00029595709778089656,
                0.9999832985781555,
                0.9996646499305715,
                0.9997694932023711,
                0.9999687980811962,
                0.9998601779261898,
                0.9995121428820996,
                0.8519528076067262
            ],
            [
                0.9964063970634262,
                0.9986749773654244,
                0.999903897539223,
                0.9999485577986358,
                0.9988304897205296,
                0.9996200155144217,
                0.9999038975401032,
                0.9995121428226936,
                0.9998766053664029,
                0.9998766053956554
            ],
            [
                0.00048785704390544765,
                0.9988304898909246,
                0.9986749776821482,
                0.0031726821716666436,
                0.0009110511963609737,
                0.867035771827307,
                0.9996200154693735,
                0.9988304895867156,
                3.120191878131786e-05,
                5.144220125911273e-05
            ],
            [
                1.8925157262578186e-05,
                1.4738976691867467e-05,
                7.889265406151004e-06,
                6.962259568509485e-06,
                1.4738983728490028e-05,
                5.829127939137956e-05,
                7.889265407090955e-06,
                1.3007134665413997e-05,
                2.753568124769226e-05,
                2.7535697654881812e-05
            ],
            [
                0.00010889686966178009,
                0.9999038975965423,
                0.9914225144199704,
                0.9999832985721833,
                0.9999885212318768,
                0.9999832985701935,
                0.9975273766285849,
                0.9999810748495068,
                0.9999339478396116,
                0.9999339478238412
            ],
            [
                7.889261644875049e-06,
                1.147876812574406e-05,
                2.1444956082767684e-05,
                6.962257079465052e-06,
                3.1201922531407855e-05,
                8.939696304002375e-06,
                1.147877086073156e-05,
                2.4300246525276163e-05,
                1.3007125363057018e-05,
                2.4300232042706045e-05
            ],
            [
                0.9998601778761356,
                0.9399133464597458,
                0.0002305067134818526,
                9.610240331853667e-05,
                1.0129987355785634e-05,
                1.147877086020957e-05,
                0.0010322310037428665,
                0.9994472214076476,
                0.9998601778760724,
                0.00013982202296262467
            ],
            [
                6.14417533430649e-06,
                1.147876675466972e-05,
                6.962253759157502e-06,
                4.785093923982095e-06,
                8.939698435226916e-06,
                1.0129988564578197e-05,
                1.670142781520948e-05,
                2.753569108573408e-05,
                3.120191135264947e-05,
                1.1478773598914277e-05
            ],
            [
                3.535623800597785e-05,
                7.484626284672882e-05,
                5.144222589744581e-05,
                6.605217603921075e-05,
                3.535625483162694e-05,
                0.9525741244662868,
                3.1201915063805214e-05,
                0.9740426443563158,
                5.829127243062412e-05,
                0.994779873658385
            ],
            [
                7.889263525663481e-06,
                9.61024144087689e-05,
                5.82912445736154e-05,
                1.6701425826191394e-05,
                1.0129992185981682e-05,
                1.8925143718318983e-05,
                2.144495095654446e-05,
                5.422219616026655e-06,
                1.0129987356375273e-05,
                4.006369690762278e-05
            ],
            [
                5.144223197188398e-05,
                0.9971990728820059,
                6.60521445946645e-05,
                8.481103104157175e-05,
                0.9999724643023379,
                7.484620883080879e-05,
                0.00033535014638941344,
                0.9990889488752175,
                0.9997965730526305,
                0.9465966702001757
            ],
            [
                0.9998766053957809,
                0.9999038976194401,
                0.9998601778928846,
                0.9989677689449986,
                0.00013982205541527727,
                0.999903897607966,
                0.9999687980997877,
                0.9997965730025117,
                0.9997040429714769,
                0.9998601778927158
            ],
            [
                9.610237964464966e-05,
                0.9968273173003676,
                0.000139822123193171,
                0.8807970889295664,
                0.990291524279611,
                0.000261190238341816,
                0.00017952804973391597,
                0.4687906266262437,
                8.481103111438118e-05,
                0.946596667563714
            ],
            [
                1.67014158650947e-05,
                1.4738981968462759e-05,
                1.892515725376564e-05,
                3.535625489632318e-05,
                4.0063677818524845e-05,
                5.829126542194621e-05,
                2.7535694350223355e-05,
                2.4300252310279753e-05,
                4.0063711217164954e-05,
                6.605212048829446e-05
            ],
            [
                0.5621765008857981,
                0.9999339478711182,
                0.9999485577864,
                0.9999687980849468,
                0.5312093733737563,
                0.9999038975509837,
                0.9999151889688683,
                0.9999724642990595,
                0.9998766053668319,
                0.9999251537638563
            ],
            [
                0.9975273770363229,
                0.9982992773509853,
                0.9940889320412578,
                0.9940889319263337,
                0.9988304899344413,
                0.13296425222296632,
                0.34864514210180597,
                0.9995121429437762,
                0.9984988178798951,
                0.11920293453832884
            ],
            [
                0.0003353501062015652,
                0.0001795279641227639,
                0.00017952792312993536,
                0.9399133458285746,
                0.060086647859713196,
                0.00029595713025273786,
                0.00029595705993583533,
                9.610239202344896e-05,
                0.8175744828610095,
                4.539787397134796e-05
            ],
            [
                0.9999945777797379,
                0.9999485577679585,
                0.9999724643023452,
                0.9997388097884697,
                0.9999977396746244,
                0.9999251537638628,
                0.9996200155156378,
                0.9999938558246658,
                0.9999546021260356,
                0.9999898700090208
            ],
            [
                3.120192250723057e-05,
                6.962256246896338e-06,
                6.962257909121104e-06,
                1.892514597832254e-05,
                1.8925143728749452e-05,
                5.422218323231539e-06,
                1.0129992186774007e-05,
                1.4738981964843453e-05,
                1.7603425837366772e-06,
                1.6701419848475466e-05
            ],
            [
                0.999997097686977,
                0.9998766054546057,
                0.9999945777803838,
                0.9999945777803843,
                0.9988304896033064,
                0.9989677691080175,
                0.9999785550541495,
                0.9999885212305064,
                0.9999810748449934,
                0.9998415637834701
            ],
            [
                2.4300246526646385e-05,
                1.4738976698757546e-05,
                7.484622716319649e-05,
                0.0001088969092152976,
                5.1442207479139826e-05,
                3.120191136899467e-05,
                3.1201907650801864e-05,
                1.3007125363057018e-05,
                3.7266410608720178e-06,
                3.535623805819787e-05
            ],
            [
                0.9978172832656111,
                0.9982992776000286,
                0.9990889486266267,
                0.9990889486604292,
                0.9984988178666333,
                0.9992903296176173,
                0.9999785550490984,
                0.9995121428818442,
                0.9978172835064808,
                0.5312093733737563
            ],
            [
                0.9579122740368526,
                0.0007096703586472293,
                0.00048785710461703857,
                0.001700722032731376,
                0.00012339455725296863,
                0.0004878570533854244,
                0.00015843627131036773,
                6.605213659861282e-05,
                0.9982992776682191,
                0.0002611903684858708
            ],
            [
                0.02297737003547147,
                0.9999938558275956,
                0.9994472214575892,
                0.9996646497703273,
                0.9997694933137421,
                0.9626731087738417,
                0.9993736657489823,
                0.9999646437535449,
                0.9241418173671895,
                0.9999785550592561
            ],
            [
                0.9999952149049349,
                0.9982992777296893,
                0.9999756997534747,
                0.9999687980998007,
                0.9999251537370689,
                0.9998911031297076,
                0.999959936317381,
                0.9999832985821392,
                0.9999810748585282,
                0.999290329626286
            ],
            [
                0.9999339478238364,
                0.9999885212359813,
                0.9999945777823229,
                0.9999957771665555,
                0.9999982396572064,
                0.9999832985721833,
                0.9999898700066052,
                0.9999852610127585,
                0.9998204720344955,
                0.9999910602994345
            ],
            [
                0.9999417087414281,
                0.9999646437492953,
                0.9996646497702103,
                0.9999885212264031,
                0.9999687980774866,
                0.9999687980849095,
                0.9999646437535704,
                0.9994472213213994,
                0.9999869928668843,
                0.9998911031297203
            ],
            [
                0.9999852610162717,
                0.9999339478789658,
                0.9999417087275358,
                0.5621765008857981,
                0.9999546021259464,
                0.9998601779426236,
                0.9998766054399156,
                0.99962001556471,
                0.2942149783515163,
                0.9997388096292115
            ],
            [
                0.9998601779426032,
                0.9999151889687703,
                0.9999546021313623,
                0.9968273168769639,
                0.9993736657470512,
                0.9999251537638628,
                0.9998766054398672,
                0.9993736659696304,
                0.9997965729782722,
                0.9998415638210192
            ],
            [
                0.9999993524050473,
                0.999999352405279,
                0.9999987901337396,
                0.9999991684720715,
                0.999999352405279,
                0.9999995549150541,
                0.9999991684719723,
                0.9999994956523514,
                0.9999994956524115,
                0.9999994284994167
            ],
            [
                0.06754668550840877,
                0.9986749777155767,
                0.9992903296208372,
                0.9933071494162468,
                0.9902915223455594,
                0.0021827164980829585,
                0.9992903296275656,
                0.9994472213988362,
                0.9996646498493371,
                0.9953904288718353
            ],
            [
                0.9968273176096363,
                0.9998415637458471,
                0.9971990731271747,
                0.9998911031038679,
                0.998674977386683,
                0.9999151889689682,
                0.9998415638213696,
                0.9953904281539361,
                0.999512142822353,
                0.9964063970976077
            ],
            [
                0.9796676458039968,
                4.539787402650773e-05,
                1.1478770859624945e-05,
                4.5397884837823535e-05,
                0.9989677691700801,
                0.0001233945295355006,
                0.995390427429627,
                0.999195914166789,
                9.610238016902688e-05,
                0.0001233946039963614
            ],
            [
                0.9999997617630049,
                0.9999984465026158,
                0.9999974387180947,
                0.9999930377420906,
                0.9998204720342186,
                0.9999994284997573,
                0.9975273764591727,
                0.9999952149043652,
                0.9999996533673788,
                0.9999995549149481
            ],
            [
                4.222834451169694e-06,
                3.1201915063805214e-05,
                6.605214457784486e-05,
                8.939693103158165e-06,
                7.889263525534328e-06,
                1.670141586907437e-05,
                7.889260704423598e-06,
                1.4738988998117324e-05,
                7.889261643554814e-06,
                1.370956716519966e-06
            ],
            [
                4.785093353739995e-06,
                2.7535694358938284e-05,
                1.300712535865635e-05,
                1.6701423832586287e-05,
                2.9023116388547446e-06,
                1.1478765387416494e-05,
                6.962259568230874e-06,
                6.1441760667392215e-06,
                6.962256249112569e-06,
                4.7850933538313875e-06
            ],
            [
                0.9999994284997573,
                0.9999996533675028,
                0.9999990577549568,
                0.9999993524052018,
                0.9999991684720715,
                0.9999996533674202,
                0.9999996072139402,
                0.9999990577555185,
                0.9999996072137998,
                0.9999993524052018
            ],
            [
                1.8925148238808306e-05,
                1.473897670007122e-05,
                1.4738978455701077e-05,
                1.0129989772412744e-05,
                2.7535684532815695e-05,
                8.93969950101825e-06,
                1.0129995809247506e-05,
                1.892515049571424e-05,
                1.4738978455701077e-05,
                3.7266406168403854e-06
            ],
            [
                0.08509904674726423,
                0.08509903630580075,
                0.0600866447038573,
                0.07585818628900448,
                0.32082129433083023,
                0.04208773242132242,
                0.9740426455807681,
                0.9796676447280407,
                0.8354835330070839,
                0.14804719803168948
            ],
            [
                0.9999991684722698,
                0.9999945777797377,
                0.9999785550567065,
                0.9999885212332446,
                0.9999957771655493,
                0.9999987901344607,
                0.9999970976883608,
                0.9999982396559474,
                0.9999980052700407,
                0.9999962733598275
            ],
            [
                0.9999921107364742,
                0.9999990577556308,
                0.9999938558261308,
                0.9999990577555183,
                0.9999930377404307,
                0.9999987901341723,
                0.9999987901343165,
                0.9999977396751633,
                0.9999970976890529,
                0.9999980052705163
            ],
            [
                0.006692849961508968,
                0.0002959571316304878,
                0.00020342697199384353,
                0.033085978507880996,
                0.0005527786493366514,
                0.001032231043837384,
                0.00026119024500671003,
                0.7549149868676283,
                0.0009110513145634796,
                1.8925141464512013e-05
            ],
            [
                0.9465966658688456,
                4.539786862316288e-05,
                2.4300246521474893e-05,
                1.4738978450955768e-05,
                8.481107159026786e-05,
                0.0004878570557412271,
                0.00020342689903848763,
                9.610239150116918e-05,
                1.0129992185299915e-05,
                4.006369692044835e-05
            ],
            [
                3.535625065376772e-05,
                1.5534979397592542e-06,
                4.7850956352353935e-06,
                7.889266343316778e-06,
                2.9023130230133794e-06,
                2.2603242978377903e-06,
                2.2603242977802297e-06,
                3.726639284103523e-06,
                4.222834954057889e-06,
                4.785094494185095e-06
            ],
            [
                0.9933071493078959,
                0.0001584361781947156,
                8.481106125749372e-05,
                0.9998911030648022,
                0.9993736659775366,
                0.999948557780272,
                0.9241418163225626,
                0.00029595720328210286,
                0.0024726231629518427,
                0.00017952792178214022
            ],
            [
                1.1478769493728398e-05,
                1.6701421842961097e-05,
                4.006368734849818e-05,
                1.0129992186939844e-05,
                7.8892625849535e-06,
                1.1478773595970265e-05,
                4.006370165745395e-05,
                4.539787398819316e-05,
                1.47389819699641e-05,
                5.422217030495909e-06
            ],
            [
                8.93969630348202e-06,
                3.535626755929635e-05,
                1.1478769489009626e-05,
                1.6701427803088173e-05,
                1.6701423825538316e-05,
                3.1201911361276113e-05,
                1.4738980212296288e-05,
                4.006368738595465e-05,
                4.785094494185095e-06,
                1.6701425823882575e-05
            ],
            [
                0.9999980052707541,
                0.9998204719699032,
                0.9999945777803841,
                0.9999756997505781,
                0.999948557774137,
                0.9999810748517622,
                0.9999898700126439,
                0.9997965730995142,
                0.9999599363221628,
                0.9999930377437505
            ],
            [
                0.0002959569882153675,
                0.00012339454450738518,
                0.006692849543583785,
                0.9999151889485612,
                0.9998204719912641,
                0.0002611904312590264,
                3.535623805498234e-05,
                1.3007131540794568e-05,
                0.00020342699472987498,
                0.9988304898728381
            ],
            [
                1.4738978456398127e-05,
                1.147876402018431e-05,
                4.222832940942332e-06,
                4.006367783499403e-05,
                4.539789009220586e-05,
                1.892514823488397e-05,
                7.889265406567165e-06,
                1.8925143718318983e-05,
                2.430023781904283e-05,
                2.144494070854852e-05
            ],
            [
                0.9975273771488816,
                0.9999921107383554,
                0.9984988175469525,
                0.9999852610110006,
                0.9978172834785908,
                0.00037998456296186195,
                0.9999038976194506,
                0.9999869928761884,
                0.9995694428590541,
                0.9820137906958954
            ],
            [
                0.9968273165640134,
                6.962257909501028e-06,
                1.670142781244497e-05,
                1.6701427813417103e-05,
                6.144176066353646e-06,
                4.222834451169694e-06,
                1.6701429805199933e-05,
                1.3007133114318805e-05,
                3.288750241374845e-06,
                1.4738978456398127e-05
            ],
            [
                0.9999687980998082,
                0.9999898700041902,
                0.9999994956524114,
                0.9999967112497585,
                0.9999977396757022,
                0.9999852610110026,
                0.9999785550592593,
                0.9999898700102282,
                0.9999974387187054,
                0.9998204720982624
            ]
        ]
    },
    {
        "q_id": "10635_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                3.1201903793448286e-05,
                4.0063687340044966e-05,
                5.8291292071551475e-05,
                0.00012339452866831993,
                2.430025224380171e-05,
                3.1201907524467076e-05,
                3.535625487510076e-05,
                4.006368726075969e-05,
                2.144494839033223e-05,
                2.144494839938192e-05
            ],
            [
                0.9998601778601187,
                0.9992903296596393,
                0.9997040429050005,
                0.99997246431879,
                0.9998204720995318,
                0.9995121428898766,
                0.9999756997592926,
                0.9994472213428168,
                0.999903897597073,
                0.9999646437325038
            ],
            [
                3.535624631873447e-05,
                4.53978576612351e-05,
                3.120191496244224e-05,
                2.753568437324253e-05,
                2.1444956044501514e-05,
                1.1478770856576534e-05,
                3.535626749357112e-05,
                8.939693094247102e-06,
                2.430024647913051e-05,
                2.1444950914728632e-05
            ],
            [
                0.9998766054548085,
                0.9997694932342164,
                0.9999810748585458,
                0.9999251537906513,
                0.9999339478396766,
                0.9999151889893451,
                0.9999546021368443,
                0.9999151889790765,
                0.999891103104332,
                0.9999646437577657
            ],
            [
                0.00010889686930527086,
                1.892514136495786e-05,
                2.7535681171161258e-05,
                2.1444950927991115e-05,
                8.481105094076358e-05,
                3.535625485066282e-05,
                2.1444948393530826e-05,
                2.7535691063295662e-05,
                1.4738987239698005e-05,
                5.144222574212284e-05
            ],
            [
                1.1478772227338172e-05,
                1.473898196677375e-05,
                2.7535691068003722e-05,
                2.753568773760199e-05,
                1.8925141462377723e-05,
                8.481108129984348e-05,
                4.5397884772424514e-05,
                0.0001584362319654596,
                1.8925141454184818e-05,
                1.0129989767032304e-05
            ],
            [
                0.999972464305698,
                0.9999785550541715,
                0.9999546021152311,
                0.9999485577741969,
                0.999447221424402,
                0.9999869928684505,
                0.9998204720811277,
                0.9999687980961307,
                0.9999756997650845,
                0.9995121428931691
            ],
            [
                4.0063696746428774e-05,
                1.4738980203395485e-05,
                1.8925150482151187e-05,
                7.484621782438381e-05,
                6.144176790968767e-06,
                2.1444950917849213e-05,
                9.610242495085316e-05,
                5.829129299693822e-05,
                0.0004878572159358332,
                1.3007128419630181e-05
            ],
            [
                0.9997388096025974,
                0.9999724642958389,
                0.9999485578048254,
                0.9999599362936198,
                0.9997965730052168,
                0.9999724643089846,
                0.9999251537732148,
                0.9998204719498612,
                0.9998911031173264,
                0.9999885212333254
            ],
            [
                0.9999546021422869,
                0.9999646437367234,
                0.9999785550490966,
                0.9999599363221718,
                0.9999756997650979,
                0.999959936288817,
                0.9999869928761898,
                0.9999810748562988,
                0.999841563840929,
                0.9999945777784506
            ],
            [
                4.006370631400884e-05,
                4.0063677765182186e-05,
                2.7535681187990065e-05,
                1.6701421816014746e-05,
                3.120190009489331e-05,
                6.144173136019732e-06,
                5.829127239415151e-05,
                2.753568117757223e-05,
                2.144494327788042e-05,
                1.6701419824232864e-05
            ],
            [
                5.8291286069685086e-05,
                2.4300243590165296e-05,
                8.481108121716152e-05,
                4.006368732517898e-05,
                0.00010889690869558618,
                8.939696302051047e-06,
                0.0001233946328252029,
                9.610239156968782e-05,
                4.006370643585172e-05,
                6.144174599174813e-06
            ],
            [
                0.9997040429759201,
                0.9999724643089155,
                0.999769493232573,
                0.9999785550490534,
                0.9997694932904083,
                0.9997040430108719,
                0.999891103078898,
                0.9997694932073076,
                0.9999417087278959,
                0.9989677689625249
            ],
            [
                5.829124419065319e-05,
                2.4300249339277128e-05,
                5.144221356106128e-05,
                0.00010889694740933997,
                8.481106058986796e-05,
                0.0003353502530496835,
                6.605215967899104e-05,
                6.605216001057812e-05,
                5.144223179934448e-05,
                7.484622673519024e-05
            ],
            [
                1.473898547706978e-05,
                6.962255413517216e-06,
                7.889263523008662e-06,
                2.144494837036049e-05,
                1.6701421821665273e-05,
                2.144494060276077e-05,
                6.962258737650141e-06,
                8.939699489399712e-06,
                2.7535687772862354e-05,
                6.144177528637686e-06
            ],
            [
                0.9999546021314538,
                0.9996200154286918,
                0.9997040428011784,
                0.9999599363078705,
                0.9999038975508774,
                0.9999251537731004,
                0.9999646437577925,
                0.9988304898750138,
                0.9999646437535268,
                0.9999724643056646
            ],
            [
                0.99970404293947,
                0.9999687980886623,
                0.9999756997650937,
                0.9993736658871059,
                0.9999724643089399,
                0.9999724643187786,
                0.9999646437451416,
                0.9999546021098639,
                0.9999646437451037,
                0.9999485577864872
            ],
            [
                7.88926446430712e-06,
                3.7266388378775e-06,
                2.1444940719392548e-05,
                1.6701427800050252e-05,
                7.889260696071684e-06,
                5.829127922428409e-05,
                4.222833940408269e-06,
                1.147876400345982e-05,
                1.1478773596575768e-05,
                2.1444948373169015e-05
            ],
            [
                1.8925143707303306e-05,
                2.1444956069076118e-05,
                4.785096767816974e-06,
                1.4738978447684992e-05,
                2.144494583831896e-05,
                1.3007123803043302e-05,
                1.4738988990369329e-05,
                5.422218967797024e-06,
                8.939698430218506e-06,
                7.889260692943303e-06
            ],
            [
                0.00010889688243114908,
                2.4300252291096595e-05,
                1.6701427807888088e-05,
                0.00015843621316897946,
                2.7535691053278508e-05,
                2.1444953504969666e-05,
                2.144495606626759e-05,
                1.8925157255280296e-05,
                2.1444953490927035e-05,
                5.8291265401165313e-05
            ],
            [
                0.9996646498169058,
                0.994088930892018,
                0.9998911031301909,
                0.9997388096324716,
                0.999290329728699,
                0.9996200155684134,
                0.9999417087554913,
                0.9997694933149025,
                0.9996646498172961,
                0.999796573030433
            ],
            [
                0.9999251537819938,
                0.9999339478243049,
                0.99994855776199,
                0.9999724643122344,
                0.9999687980812371,
                0.9999251537821756,
                0.9999417087485726,
                0.99997569976801,
                0.9999687980849267,
                0.9999151889792159
            ],
            [
                0.9999251537468188,
                0.9999151889390115,
                0.9999151889894796,
                0.9998911030525558,
                0.9998204720566688,
                0.9998766054259134,
                0.9999417087207698,
                0.9999151889893352,
                0.9999485577619611,
                0.999988521226408
            ],
            [
                0.9999810748540532,
                0.9996646499358596,
                0.999769493314044,
                0.999988521231886,
                0.9990889489290471,
                0.9995694429167966,
                0.9999417087276351,
                0.9999417087276508,
                0.9999599362983168,
                0.9999485577864038
            ],
            [
                0.99997246431548,
                0.9999646437578114,
                0.9997694932880139,
                0.999981074854072,
                0.9997040428320744,
                0.9999251537907967,
                0.9999599363078678,
                0.9997694932326334,
                0.999954602131504,
                0.9999852610127736
            ],
            [
                0.9992903295140485,
                0.9998601779275711,
                0.9998601779274022,
                0.9999151889387524,
                0.9999417087208317,
                0.9998204719519952,
                0.999972464305707,
                0.999569442818146,
                0.999664649981677,
                0.9996646499012233
            ],
            [
                1.8925141427471807e-05,
                2.4300252293748645e-05,
                1.892515724357613e-05,
                4.539789012358419e-05,
                8.481107944381878e-05,
                2.144494583410617e-05,
                4.006369679977145e-05,
                1.670142779591868e-05,
                2.430023201636237e-05,
                5.1442213303562055e-05
            ],
            [
                1.4738985474764149e-05,
                5.144223780192308e-05,
                1.4738988987366645e-05,
                3.120190005561944e-05,
                3.12019149849169e-05,
                6.962258736269744e-06,
                7.484626227605354e-05,
                5.829128613499652e-05,
                1.6701427788445396e-05,
                8.481106042697222e-05
            ],
            [
                4.006368245817054e-05,
                1.892515274194901e-05,
                1.8925157223541358e-05,
                3.120190016072813e-05,
                6.605215965784638e-05,
                4.006367775556302e-05,
                5.14422068017074e-05,
                1.1478768117893363e-05,
                4.006368709723379e-05,
                6.605212026531429e-05
            ],
            [
                0.0002034269199928022,
                1.4738980195835164e-05,
                1.6701421807630086e-05,
                1.670141983261753e-05,
                5.4222202488011866e-06,
                1.6701417848187652e-05,
                2.1444958561253383e-05,
                4.0063711093573116e-05,
                1.670142379382242e-05,
                2.1444958551891626e-05
            ],
            [
                0.9999646437535583,
                0.9999832985722059,
                0.999925153799634,
                0.9999724643155111,
                0.9999921107402443,
                0.9999810748449987,
                0.9999869928746427,
                0.999978555056716,
                0.9999930377437534,
                0.9998911031299785
            ],
            [
                5.144223803434616e-05,
                0.0002611904282647618,
                1.8925152741191683e-05,
                0.00010889688917155119,
                2.4300240626059064e-05,
                2.430023777599125e-05,
                1.8925154974965226e-05,
                1.3007133113703658e-05,
                0.00012339455820991978,
                5.144220125911273e-05
            ],
            [
                1.4738987233478162e-05,
                1.8925154986738235e-05,
                1.6701415844558364e-05,
                1.670142580759932e-05,
                7.484619996356745e-05,
                3.535625061440978e-05,
                2.4300243615448162e-05,
                3.12019113244994e-05,
                2.753568119580344e-05,
                3.5356267474535235e-05
            ],
            [
                0.9984988179790102,
                0.9990889489325439,
                0.9996200154770897,
                0.9986749774473781,
                0.9986749774453756,
                0.9998766053832132,
                0.9989677689625249,
                0.9996200154338543,
                0.9999151889690066,
                0.9997388096965444
            ],
            [
                2.7535684479824982e-05,
                1.4738983701251412e-05,
                1.1478768118310953e-05,
                2.1444958625381407e-05,
                1.1478765384054893e-05,
                3.120191132245625e-05,
                1.3007130008414434e-05,
                7.889259761030436e-06,
                7.889265402362503e-06,
                1.1478764008095073e-05
            ],
            [
                0.9999546021425356,
                0.9997388095710589,
                0.9999251537997172,
                0.999796572980409,
                0.9999885212318825,
                0.9999910603069019,
                0.9996646497344911,
                0.9986749778445153,
                0.9999785550567315,
                0.9999546021422621
            ],
            [
                6.605216789177853e-05,
                1.300712533821453e-05,
                6.962257071486617e-06,
                1.3007128445182463e-05,
                1.3007133108474901e-05,
                1.670141983978702e-05,
                1.8925148205003943e-05,
                1.3007126909159127e-05,
                2.144494064707304e-05,
                6.144173134164498e-06
            ],
            [
                1.1478765382509808e-05,
                6.144177528637686e-06,
                4.222831929547643e-06,
                7.889261641904523e-06,
                2.4300246470820754e-05,
                1.300712532487056e-05,
                7.889259761905808e-06,
                1.0129992177800467e-05,
                6.962258730317576e-06,
                8.939696302652706e-06
            ],
            [
                7.48462442725578e-05,
                2.753568444897217e-05,
                0.00010889686976001818,
                4.006370643293681e-05,
                6.60521277226554e-05,
                6.60521285867036e-05,
                0.00017952798387475965,
                5.144223802948063e-05,
                5.144220708465707e-05,
                0.00010889694724772234
            ],
            [
                0.9999810748495311,
                0.9993736658454248,
                0.999981074845007,
                0.9990889487433987,
                0.99994170872073,
                0.9999599363078477,
                0.9999546021260426,
                0.999860177909819,
                0.9997040430117847,
                0.9999151889183805
            ],
            [
                2.1444948361622855e-05,
                6.605214403673333e-05,
                2.7535684497254823e-05,
                6.962255408451543e-06,
                1.1478772223224906e-05,
                1.670142379503759e-05,
                0.00015843628800452496,
                0.00012339452822485487,
                2.4300237812059105e-05,
                1.1478773576051192e-05
            ],
            [
                0.9999485577803031,
                0.9999417087345882,
                0.9998911030916133,
                0.9997040429426216,
                0.9999485577864516,
                0.9999151889891654,
                0.9997040428036582,
                0.999569442967199,
                0.999860177859901,
                0.9997965729550982
            ],
            [
                0.9998766053813154,
                0.9999251537387379,
                0.9964063967074389,
                0.9953904278227624,
                0.9978172835708818,
                0.9989677689662463,
                0.9996646500167718,
                0.9996646500175524,
                0.9964063974519277,
                0.9992903295861629
            ],
            [
                1.3007128452848148e-05,
                4.222831933480445e-06,
                5.1442207372098016e-05,
                1.1478765382509808e-05,
                2.43002435793803e-05,
                1.1478769469800468e-05,
                3.1201899926446976e-05,
                2.4300234914166368e-05,
                1.3007123787759256e-05,
                7.889262581595514e-06
            ],
            [
                0.9995121427753222,
                0.9999417087279112,
                0.9998415638222063,
                0.999948557804806,
                0.9971990730660452,
                0.9992903295011282,
                0.9999151889286861,
                0.9995121427875837,
                0.9999339478711735,
                0.9999251537730643
            ],
            [
                4.539786314219866e-05,
                6.605214426644143e-05,
                0.0001398220684292976,
                0.0001795279197917916,
                2.7535690986764632e-05,
                8.939700537100724e-06,
                0.00012339455921355153,
                7.484621806670283e-05,
                0.0001233945727006391,
                7.484626269480285e-05
            ],
            [
                0.9998415638215978,
                0.9968273171501513,
                0.9993736658351866,
                0.9998766053819869,
                0.9995694428637637,
                0.9986749777528564,
                0.9986749776716728,
                0.9997694932604813,
                0.9994472214793603,
                0.999569442916997
            ],
            [
                0.9999832985841584,
                0.999195914224031,
                0.9998204719509922,
                0.9996200154939372,
                0.9999485577806744,
                0.9999687980738801,
                0.999569442985862,
                0.9998601779136436,
                0.9999417087420609,
                0.9995121429554134
            ],
            [
                0.9984988178524988,
                0.9996646498675333,
                0.999959936288801,
                0.999915188969151,
                0.9999785550466292,
                0.9998601779441189,
                0.9997388096643295,
                0.9999151889388597,
                0.9998766053673704,
                0.9999485577619428
            ],
            [
                0.9998204720180948,
                0.9997965730559512,
                0.9996200155748031,
                0.9999339478557335,
                0.9995121427785294,
                0.9999251537461092,
                0.9996646497411646,
                0.999972464312229,
                0.9998766053964614,
                0.9999546021098721
            ],
            [
                2.4300237787837067e-05,
                3.535624629609723e-05,
                0.00012339452760005387,
                5.144221937500457e-05,
                7.484620883080879e-05,
                2.4300237789428296e-05,
                1.1478766749992709e-05,
                1.0129993386593603e-05,
                4.539788469909834e-05,
                1.147876401064237e-05
            ],
            [
                6.962257902687696e-06,
                1.4738976687631543e-05,
                1.4738987212244906e-05,
                1.0129987342297692e-05,
                1.3007133107528522e-05,
                7.88926540262081e-06,
                2.430024647913051e-05,
                1.3007130007042183e-05,
                1.6701429790071084e-05,
                3.1201926195004916e-05
            ],
            [
                1.0129993391531815e-05,
                1.670142381836882e-05,
                7.889261639177951e-06,
                2.1444945825992654e-05,
                1.8925148211888738e-05,
                1.4738988980342514e-05,
                1.1478773588745944e-05,
                1.670142382286494e-05,
                2.753570079796396e-05,
                6.14417386791016e-06
            ],
            [
                0.9999646437578743,
                0.9999756997478355,
                0.9999251537729087,
                0.999933947824045,
                0.9999687980887423,
                0.9999485577741969,
                0.9999646437620313,
                0.9999251537374549,
                0.9999599362983548,
                0.9999151889894117
            ],
            [
                8.93969522730838e-06,
                2.4300237770687153e-05,
                7.88926445776335e-06,
                2.4300252282875242e-05,
                3.120190386246134e-05,
                1.3007134655902864e-05,
                5.829127199634563e-05,
                1.8925154993072253e-05,
                6.605216022346663e-05,
                6.962256242235919e-06
            ],
            [
                0.9999724642958495,
                0.9998911031174975,
                0.9998766054113131,
                0.9999417087558942,
                0.9999832985821574,
                0.9999724643122205,
                0.9999687980812753,
                0.9999756997593048,
                0.999968798096124,
                0.9990889486853306
            ],
            [
                0.9999251537376259,
                0.9999832985821503,
                0.9998911030652539,
                0.9998911030403949,
                0.9997388097267301,
                0.9998911031050118,
                0.999876605397677,
                0.9999339478636234,
                0.9999646437409323,
                0.9999646437325226
            ],
            [
                7.88926446430712e-06,
                1.7603430034151537e-06,
                7.889264461063935e-06,
                1.1478773596847203e-05,
                1.8925141465200488e-05,
                8.939699495546396e-06,
                1.670142980380249e-05,
                1.6701419838997157e-05,
                5.422220908116881e-06,
                2.4300240711101413e-05
            ],
            [
                1.8925157196415237e-05,
                4.0063677541609405e-05,
                0.00012339452822485487,
                5.8291243892935065e-05,
                2.1444958623509054e-05,
                6.962255418215627e-06,
                6.605214441493472e-05,
                4.5397884445099114e-05,
                1.670141783822328e-05,
                3.5356246203490305e-05
            ],
            [
                3.120191485415527e-05,
                4.006371111397742e-05,
                5.144221331628731e-05,
                2.1444956043097248e-05,
                1.4738985479214553e-05,
                9.610239122429796e-05,
                1.1478770847306026e-05,
                8.939697331327895e-06,
                1.67014198374782e-05,
                9.610244742357704e-05
            ],
            [
                0.9999898700090465,
                0.999985261016288,
                0.9999339478398923,
                0.9999646437324774,
                0.9997388097329619,
                0.9999485577681066,
                0.9998204720135393,
                0.9999417087553785,
                0.9999251537819001,
                0.9999546021152543
            ],
            [
                0.9997694933705981,
                0.9997694932317682,
                0.9997965730533822,
                0.9997388096300018,
                0.9999756997593543,
                0.9999417087486285,
                0.9995121427741869,
                0.9995694429213308,
                0.9991959140684862,
                0.999968798092416
            ],
            [
                1.3007123803043302e-05,
                3.535625027150688e-05,
                3.535625057453735e-05,
                5.144220115918209e-05,
                1.3007130002168321e-05,
                6.144174598392485e-06,
                6.605214431545863e-05,
                5.829125121629255e-05,
                1.4738981951974817e-05,
                1.6701417809120006e-05
            ],
            [
                0.9999832985841517,
                0.9999546021206142,
                0.9999885212318871,
                0.9999938558239352,
                0.9999852610180522,
                0.9999485577988516,
                0.9999810748585536,
                0.9999339478318396,
                0.9999921107383638,
                0.9998911031301592
            ],
            [
                2.144495346611839e-05,
                2.430024646905272e-05,
                1.6701419812324218e-05,
                5.422220261198862e-06,
                4.539785203560174e-05,
                1.6701415839576174e-05,
                2.7535700886916288e-05,
                1.3007126889427091e-05,
                7.484621769696211e-05,
                2.7535684432544047e-05
            ],
            [
                0.9997388096620191,
                0.9994472214704846,
                0.9999546021476734,
                0.9982992775749266,
                0.9998204720362533,
                0.9994472213670962,
                0.9995121429690089,
                0.9990889488289113,
                0.9997965731001239,
                0.9999339478239984
            ],
            [
                1.3007130003351296e-05,
                3.535624219412524e-05,
                2.75356811755688e-05,
                3.120192610783045e-05,
                2.430023197384121e-05,
                3.120191876292951e-05,
                1.1478764011143482e-05,
                2.144494073054863e-05,
                2.430023778465461e-05,
                4.006370163238581e-05
            ],
            [
                0.00010889693308082876,
                1.6701427794095925e-05,
                3.5356250611580125e-05,
                6.14417313533799e-06,
                9.61023907572526e-05,
                2.4300231983034976e-05,
                1.1478765380839446e-05,
                2.4300237797030833e-05,
                2.1444956059090247e-05,
                1.6701421803012445e-05
            ],
            [
                0.999978555056757,
                0.9999485577681464,
                0.9999417087068627,
                0.9999687980737751,
                0.9999546021207931,
                0.9999339478555221,
                0.9999756997535147,
                0.9991959140877071,
                0.9999945777790985,
                0.999978555054216
            ],
            [
                0.9999785550439443,
                0.9999785550567353,
                0.9999546021152276,
                0.9999852610110221,
                0.9999485577681164,
                0.999983298580152,
                0.9999756997621958,
                0.9999885212346163,
                0.9999687980775439,
                0.9999546021315565
            ],
            [
                0.9999339478558393,
                0.9999869928700434,
                0.99995460214231,
                0.9999832985702026,
                0.9999038975625899,
                0.9999930377404428,
                0.9999785550413892,
                0.9999852610198124,
                0.9999646437620067,
                0.9999599363030796
            ],
            [
                6.6052120892446e-05,
                2.1444940705896026e-05,
                3.535624643217795e-05,
                2.7535681210027785e-05,
                7.484623532798795e-05,
                4.00636825785559e-05,
                4.006370645013473e-05,
                2.7535681218241846e-05,
                2.43002436174814e-05,
                3.535625490018181e-05
            ],
            [
                5.144221356929526e-05,
                2.7535700898135497e-05,
                6.605215950310573e-05,
                2.144494584573034e-05,
                4.539785770549502e-05,
                0.00010889686845281768,
                5.1442195075016483e-05,
                8.939694164550245e-06,
                9.610244818007913e-05,
                1.4738985481091229e-05
            ],
            [
                0.9999485577682591,
                0.9998415638217154,
                0.9999687980924092,
                0.9999417087555893,
                0.999954602115224,
                0.9997965729308586,
                0.999512142968725,
                0.999796573030433,
                0.9999599363031364,
                0.999954602147858
            ],
            [
                0.999941708707003,
                0.9999339478555024,
                0.9999599363174471,
                0.9999038975864275,
                0.9998204720995709,
                0.9999038975516522,
                0.9997965730057555,
                0.9999852610233158,
                0.9999038975740436,
                0.9999599363078845
            ],
            [
                4.539788996966526e-05,
                2.4300231947674342e-05,
                7.484620868705099e-05,
                2.7535684494049335e-05,
                2.1444948352105077e-05,
                4.53978575370431e-05,
                2.7535680959999807e-05,
                3.120191095945655e-05,
                1.4738987221038477e-05,
                5.829127899145311e-05
            ],
            [
                0.9999724642957851,
                0.9999251537907504,
                0.9999898700090265,
                0.9999885212332473,
                0.9999852610233136,
                0.999964643736671,
                0.9998601778941338,
                0.9999417087485378,
                0.9999687980961159,
                0.9999599362935498
            ],
            [
                1.1478764017720528e-05,
                4.006371121133516e-05,
                8.939693104865575e-06,
                3.12019261137329e-05,
                1.4738983718463215e-05,
                2.7535704170940182e-05,
                6.144173856141707e-06,
                1.6701415858046724e-05,
                3.7266392836984955e-06,
                5.422221552224048e-06
            ],
            [
                5.8291285984016844e-05,
                1.3007133094373822e-05,
                5.144220124077339e-05,
                0.0001233946302146816,
                0.00013982202095874687,
                0.00017952790002674285,
                7.48462357451035e-05,
                4.539786287531793e-05,
                0.00015843621377293796,
                0.00017952802369219863
            ],
            [
                0.0001795280474666931,
                5.14422073226941e-05,
                5.144221329008826e-05,
                3.120191871729913e-05,
                4.006367776838858e-05,
                3.12019075723676e-05,
                4.539787917552373e-05,
                3.535624635706345e-05,
                2.4300237795616407e-05,
                2.1444950903338502e-05
            ],
            [
                0.9998601778599477,
                0.9996200155228234,
                0.9996646500178158,
                0.9988304896768768,
                0.9998415637085216,
                0.9997965729836588,
                0.9999599363079833,
                0.9995694428279659,
                0.9989677688973413,
                0.9991959140405666
            ],
            [
                0.9999485578048591,
                0.999569442976042,
                0.9998766054256153,
                0.9999485577803331,
                0.9998911031171046,
                0.9998766054552215,
                0.9996646497761912,
                0.9998204719717838,
                0.9996200154547369,
                0.9999485577925706
            ],
            [
                7.889264462211963e-06,
                1.67014218283487e-05,
                3.535624630741585e-05,
                2.1444958599324522e-05,
                2.75357041631268e-05,
                1.6701417845878833e-05,
                3.1201903755082464e-05,
                5.829125831233336e-05,
                2.144495093719684e-05,
                9.610239082856791e-05
            ],
            [
                4.0063682337202195e-05,
                9.610245877250735e-05,
                3.5356254781979326e-05,
                2.4300231977554073e-05,
                1.6701427795007302e-05,
                5.144220034850891e-05,
                8.481108110486216e-05,
                3.120190383045199e-05,
                0.00020342706541817235,
                3.12019001139627e-05
            ],
            [
                0.9999417087136911,
                0.9999646437493461,
                0.999964643740925,
                0.9989677689446385,
                0.9999785550465105,
                0.9999251537906645,
                0.9999485577620099,
                0.9998911031171188,
                0.9999599362936198,
                0.9999038975512592
            ],
            [
                4.539787927923732e-05,
                1.670142379503759e-05,
                1.670142581227772e-05,
                3.5356250514085596e-05,
                4.5397873845174124e-05,
                0.0003353501231294395,
                4.006370130737432e-05,
                4.006371096735787e-05,
                2.7535697556012515e-05,
                6.605215218800707e-05
            ],
            [
                0.9986749776516465,
                0.9999810748562833,
                0.9993736657612243,
                0.9999921107346073,
                0.9999724642957958,
                0.9999832985761983,
                0.9998766053961293,
                0.9997965730045953,
                0.999903897597101,
                0.9999251537550375
            ],
            [
                8.939695232967228e-06,
                2.7535694302040858e-05,
                1.8925148215055747e-05,
                3.5356267278259887e-05,
                7.484621760656895e-05,
                4.0063687306232136e-05,
                0.00020342691493772157,
                0.00026119042057390953,
                2.1444943238092982e-05,
                2.753568447401504e-05
            ],
            [
                0.9989677687966247,
                0.9933071478962371,
                0.9875683513878671,
                0.9968273165124685,
                0.9997965731018612,
                0.9980732652516022,
                0.9988304895903874,
                0.9978172837590137,
                0.9990889489229012,
                0.9984988179329426
            ],
            [
                3.1201926214528354e-05,
                8.481103095395362e-05,
                1.3007130006048483e-05,
                2.1444950940863522e-05,
                1.1478766749992709e-05,
                5.8291244568526206e-05,
                1.0129990969818226e-05,
                5.82912652794486e-05,
                7.484622714958306e-05,
                5.829127238482131e-05
            ],
            [
                0.9999417087484639,
                0.9999417087554264,
                0.9999339478790292,
                0.9998415637836084,
                0.9998766054401742,
                0.9998766054560905,
                0.999620015565716,
                0.9996646499331374,
                0.999925153737126,
                0.9995121427823328
            ],
            [
                0.9999869928684425,
                0.9999724643023739,
                0.9999832985801901,
                0.9999646437451182,
                0.9999852610233088,
                0.9999038975853689,
                0.9999885212264089,
                0.9999646437620815,
                0.9999251537552319,
                0.999903897596715
            ],
            [
                7.88926445776335e-06,
                1.6701417842658638e-05,
                1.3007134645587309e-05,
                1.8925157239582946e-05,
                3.120192241767245e-05,
                1.147876809851717e-05,
                2.144494839142443e-05,
                5.8291264694190524e-05,
                3.535624215579626e-05,
                2.7535687785784475e-05
            ],
            [
                0.9994472213416591,
                0.9986749778867245,
                0.999820472106114,
                0.9988304894599733,
                0.9971990733677913,
                0.9971990736136103,
                0.9996646497825038,
                0.9978172833467464,
                0.9991959139540022,
                0.9982992777269221
            ],
            [
                0.9999151889689967,
                0.9992903296042843,
                0.9994472214180348,
                0.9997965729319832,
                0.9989677689418774,
                0.9999485577803893,
                0.9999151889190678,
                0.9995694428867855,
                0.9999339478320044,
                0.999933947840269
            ],
            [
                0.9999485577864307,
                0.9991959141877871,
                0.9999339478717074,
                0.9997388097232115,
                0.999088949010745,
                0.9992903295005916,
                0.9999151889590318,
                0.9996200154269562,
                0.9999151889487612,
                0.9999417087553925
            ],
            [
                0.9997694932912868,
                0.998498818088246,
                0.9999832985742074,
                0.9999687980737968,
                0.9999724642993326,
                0.9999930377404381,
                0.9998601779766589,
                0.9999852610162854,
                0.9999687980998219,
                0.9999832985821541
            ],
            [
                0.9996200154423334,
                0.9982992773383355,
                0.9998911030526985,
                0.9995694429686646,
                0.9997965730046485,
                0.9991959141680985,
                0.9998204719707546,
                0.99987660536762,
                0.9998204719922985,
                0.9999546021478845
            ],
            [
                0.9999785550516044,
                0.9997388096366363,
                0.999981074842751,
                0.9999687980812475,
                0.9999546021314167,
                0.9999251537728298,
                0.999978555049058,
                0.9999785550413756,
                0.9997965729565839,
                0.9999832985801554
            ],
            [
                0.9982992774717516,
                0.9995694429250884,
                0.9964063981980837,
                0.9993736657969303,
                0.9992903295267213,
                0.9996200154128834,
                0.9990889488566739,
                0.9988304896023545,
                0.9990889486283221,
                0.9991959142056518
            ],
            [
                0.9999646437451162,
                0.9999485577680525,
                0.9999687980850044,
                0.9999832985722059,
                0.9999852610145359,
                0.9999921107402411,
                0.9999546021097749,
                0.9999938558224707,
                0.9996200154367838,
                0.9997694932614067
            ],
            [
                0.9999251537819334,
                0.9997694933174378,
                0.9998601779775297,
                0.9997694932323853,
                0.9993736657123291,
                0.9999251537997494,
                0.9999546021099712,
                0.9998766053973933,
                0.9999339478239194,
                0.9999339478711562
            ],
            [
                0.9988304898267375,
                0.999948557780625,
                0.9999599363127827,
                0.999860177895033,
                0.9984988174666832,
                0.9989677691915678,
                0.9998204720355116,
                0.9999151889284795,
                0.9999038975745583,
                0.9964063974777722
            ],
            [
                5.829128571004811e-05,
                2.430024067255831e-05,
                0.9996200154766033,
                2.1444948371764756e-05,
                2.4300243569125712e-05,
                0.00013982210578281806,
                3.5356246408511744e-05,
                5.1442225771316064e-05,
                4.539789014042939e-05,
                0.00010889692036215736
            ],
            [
                0.9997040428676117,
                0.9999038975746743,
                0.9999785550413993,
                0.999941708748449,
                0.9999038976085688,
                0.9999646437577774,
                0.9999810748427789,
                0.9994472212651226,
                0.9999038975395174,
                0.9999599363126407
            ],
            [
                0.9999485577987787,
                0.9999546021207207,
                0.9999687980998236,
                0.999968798096135,
                0.9999885212292221,
                0.9999599363078964,
                0.9999869928746493,
                0.9999646437324546,
                0.9999339478714786,
                0.999993037746244
            ],
            [
                1.0129993392600532e-05,
                1.0129988552416936e-05,
                7.889266344766165e-06,
                8.939695232316787e-06,
                6.962257903852802e-06,
                3.7266410592824143e-06,
                8.939698430543728e-06,
                1.1478768122695653e-05,
                1.1478768116974664e-05,
                1.4738980208864656e-05
            ],
            [
                0.9998601779614926,
                0.9999852610110289,
                0.9999832985702033,
                0.9999417087137394,
                0.9999038975626571,
                0.9999869928684406,
                0.9999546021152388,
                0.9999885212346142,
                0.9999785550592752,
                0.9999546021424471
            ],
            [
                2.7535700878902567e-05,
                8.481105006458202e-05,
                1.6701429772937207e-05,
                3.12019112659291e-05,
                8.9396973602726e-06,
                0.00010889693392060652,
                6.605214416071803e-05,
                1.8925150457297062e-05,
                5.8291265016506564e-05,
                0.0001233945859399621
            ],
            [
                0.9998204719933015,
                0.9997040428025648,
                0.999964643757971,
                0.9995121429593019,
                0.9999785550491092,
                0.9999417087485378,
                0.9997694933707322,
                0.9997694932374223,
                0.9997388097900733,
                0.9999599362989205
            ],
            [
                0.9999339478556144,
                0.9999910603026478,
                0.9997388097925888,
                0.9999546021368476,
                0.9999485577987147,
                0.9999810748450044,
                0.999933947863422,
                0.9999687980850618,
                0.9999724642991131,
                0.9999646437535861
            ],
            [
                4.539787399116584e-05,
                7.484623585618912e-05,
                1.670141584358623e-05,
                1.0129987353832463e-05,
                6.605216795713484e-05,
                4.539786844348078e-05,
                3.120191877428034e-05,
                1.1478769491306371e-05,
                1.8925145961179394e-05,
                1.6701419842521146e-05
            ],
            [
                2.7535697504324006e-05,
                6.605217562208371e-05,
                1.012999338699898e-05,
                5.829128593058022e-05,
                1.8925141438625175e-05,
                2.1444940709796752e-05,
                2.1444943266022203e-05,
                4.539787849709154e-05,
                3.535624600129852e-05,
                0.00070967040058663
            ],
            [
                0.0001233945291818058,
                1.1478769432133814e-05,
                0.000123394587593531,
                0.00017952798279338876,
                0.00023050677141092646,
                8.481103035296724e-05,
                6.605215233698097e-05,
                6.605214433179769e-05,
                2.7535700890722806e-05,
                4.00637110851199e-05
            ],
            [
                0.9999038976196813,
                0.9998911031045555,
                0.9997388097569464,
                0.9990889486256729,
                0.9997965730298294,
                0.9993736658472829,
                0.9997965730295629,
                0.9996646497801427,
                0.9992903296574929,
                0.9996646499427185
            ],
            [
                2.1444948379722244e-05,
                4.5397890096830036e-05,
                5.144221341097815e-05,
                2.7535684342189372e-05,
                6.605212073722489e-05,
                1.6701427792273175e-05,
                1.67014277589168e-05,
                4.0063711125637033e-05,
                7.889264462470271e-06,
                2.753570086628095e-05
            ],
            [
                7.484622679508931e-05,
                3.535626317911512e-05,
                7.484622690835306e-05,
                0.0001233945888126117,
                0.0002034270150745114,
                4.539786843885661e-05,
                5.829125832548044e-05,
                2.1444955999565088e-05,
                5.1442194890126125e-05,
                6.605214449759119e-05
            ],
            [
                3.120192604835205e-05,
                4.0063687182931854e-05,
                2.1444950841238875e-05,
                3.120191874363308e-05,
                8.481106064786872e-05,
                0.00013982205601949235,
                5.829128607647069e-05,
                5.144222565117469e-05,
                1.892515499135105e-05,
                5.8291251433431714e-05
            ],
            [
                5.8291244182171195e-05,
                6.605215138931485e-05,
                6.605212825223333e-05,
                1.1478764008095073e-05,
                3.120191130543e-05,
                1.1478764009139048e-05,
                5.1442194909588265e-05,
                6.605215978183109e-05,
                1.1478763988927683e-05,
                4.785092780377583e-06
            ],
            [
                3.120190377801115e-05,
                3.535626328432693e-05,
                1.6701417848916754e-05,
                2.7535684437352277e-05,
                6.605212072953592e-05,
                4.539788994720499e-05,
                3.120192246057862e-05,
                4.5397879047368085e-05,
                0.0001233945577467052,
                2.430023489445281e-05
            ],
            [
                1.670142979608617e-05,
                2.7535684472011604e-05,
                2.430024940080467e-05,
                5.1442219615661567e-05,
                1.1478766745733287e-05,
                2.1444953482813517e-05,
                7.484622694429252e-05,
                2.430024069359789e-05,
                2.7535684476018467e-05,
                1.0129995806317745e-05
            ],
            [
                0.9999724643122142,
                0.9997040429767295,
                0.999959936288817,
                0.9991959140035744,
                0.9999785550439432,
                0.9999251537908969,
                0.9998204720565539,
                0.9999687980961861,
                0.9998601778956311,
                0.9997965729801072
            ],
            [
                2.1444945842219688e-05,
                1.8925154979509192e-05,
                1.892514369573685e-05,
                2.4300246493981982e-05,
                1.0129990969818226e-05,
                3.1201900133940165e-05,
                3.120190009489331e-05,
                2.75356943166659e-05,
                6.605216017444941e-05,
                1.4738983708061067e-05
            ],
            [
                4.539786845272913e-05,
                7.484626207675282e-05,
                3.5356246408511744e-05,
                5.144223187869019e-05,
                4.0063682496355735e-05,
                4.006371117314994e-05,
                5.1442237979702405e-05,
                7.484626232070561e-05,
                2.7535681157537936e-05,
                0.00010889690835016822
            ],
            [
                2.753570419988976e-05,
                5.144221353972776e-05,
                4.539786278283451e-05,
                9.610244814512062e-05,
                2.4300234897635273e-05,
                0.00013982210464152253,
                1.892514597770291e-05,
                6.605214367727381e-05,
                4.006367772466509e-05,
                0.00013982212235906898
            ],
            [
                2.7535681199409607e-05,
                6.605216804699975e-05,
                3.120190757940511e-05,
                5.144220066214885e-05,
                NaN,
                2.430024069660355e-05,
                3.120190385565084e-05,
                0.00010889694638417716,
                0.00013982202181522663,
                1.8925157239582946e-05
            ],
            [
                2.1444940664392276e-05,
                2.1444950932047874e-05,
                0.000123394569616132,
                4.539787931391861e-05,
                5.829127220797157e-05,
                0.00010889692155685995,
                0.000179527964164556,
                5.1442219595825146e-05,
                0.00013982208986774736,
                2.4300240607141115e-05
            ],
            [
                1.6701419846834993e-05,
                1.0129992176400077e-05,
                1.4738988988010078e-05,
                6.144175329936627e-06,
                2.144495860197702e-05,
                1.892514145136205e-05,
                2.430024650299895e-05,
                1.8925152733687252e-05,
                2.43002405788526e-05,
                1.4738985474764149e-05
            ]
        ]
    },
    {
        "q_id": "10442_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9914225152198788,
                0.9999546021151962,
                0.9999251537907135,
                0.9998911031041102,
                0.999915188928337,
                0.9999339478555922,
                0.9999869928746524,
                0.9999785550543755,
                0.999978555056801,
                0.9999646437410313
            ],
            [
                7.889266347456862e-06,
                1.670141587031992e-05,
                1.1478769493540482e-05,
                1.892514372479069e-05,
                5.8291286299547405e-05,
                0.0002611903378288654,
                3.1201918807538294e-05,
                4.006369693691754e-05,
                3.120191878631223e-05,
                1.3007128462785148e-05
            ],
            [
                0.9999832985781602,
                0.9998204720136542,
                0.9999885212277796,
                0.9998601778595592,
                0.9999724643189563,
                0.9995121427859659,
                0.9997694933166732,
                0.9999785550439455,
                0.9999339478711562,
                0.9999151889183892
            ],
            [
                0.9999546021260025,
                0.9996200154744144,
                0.9997694933145873,
                0.9999898700078131,
                0.9999852610180308,
                0.9999852610198081,
                0.999664649988136,
                0.9999417087484351,
                0.9999921107355337,
                0.9999756997563714
            ],
            [
                0.9997388096037146,
                0.9995121429512694,
                0.9997694932361345,
                0.9989677688734527,
                0.9991959140883618,
                0.9999417087418361,
                0.9990889487923009,
                0.9991959141522446,
                0.9994472212626143,
                0.9996200155639362
            ],
            [
                0.9999687980960746,
                0.9996200155244596,
                0.9999339478554577,
                0.9999687980849847,
                0.9998601779434333,
                0.9999599363221586,
                0.9999687980812412,
                0.9989677690762061,
                0.9986749775408856,
                0.9996646498123495
            ],
            [
                0.999933947871222,
                0.999796573075106,
                0.9986749773678891,
                0.9990889489804394,
                0.9988304895694451,
                0.9999724643089467,
                0.999948557792583,
                0.9998204720981632,
                0.9999832985761751,
                0.9999417087275825
            ],
            [
                0.9999756997534762,
                0.9999852610162987,
                0.9999869928699978,
                0.9995694430168375,
                0.9997965730843401,
                0.9998911031305473,
                0.999876605410726,
                0.9999251537462939,
                0.999972464305849,
                0.9999785550464791
            ],
            [
                5.4222202623972055e-06,
                3.7266397283231055e-06,
                0.9947798733150117,
                1.1478764020560142e-05,
                4.222833444467892e-06,
                3.535625911829982e-05,
                8.939700566565793e-06,
                6.962255419380732e-06,
                1.670142383167491e-05,
                1.4738985485166298e-05
            ],
            [
                0.9999756997534821,
                0.9992903294718614,
                0.9999251537727649,
                0.9997040429362151,
                0.9964063965690456,
                NaN,
                0.9999952149049355,
                0.9999687980774961,
                0.9997040429759201,
                0.999373665926929
            ],
            [
                0.9999038975630892,
                0.9999599362887858,
                0.9999251537460537,
                0.9984988180060574,
                0.9998601779101078,
                0.9984988179051975,
                0.9996646499549047,
                0.9997965730446927,
                0.9997694932411314,
                0.9998204719499423
            ],
            [
                0.9999339478634154,
                0.9998204720347122,
                0.9999417087205921,
                0.9999485578048176,
                0.9998911031297709,
                0.9999832985841398,
                0.9997694932332103,
                0.999975699765117,
                0.9999869928684992,
                0.9978172834882255
            ],
            [
                0.9999151889894685,
                0.9999898700090224,
                0.9999485577743376,
                0.9999810748585323,
                0.999975699753588,
                0.9999251537818369,
                0.9982992774972488,
                0.9999646437366918,
                0.999860177860021,
                0.9988304900063799
            ],
            [
                5.144223815748175e-05,
                0.0001795280067820624,
                4.0063706483364614e-05,
                1.6701423834591316e-05,
                8.939695237959376e-06,
                1.300713001414004e-05,
                1.3007128463352975e-05,
                2.4300252313904224e-05,
                1.4738988999377379e-05,
                6.605212102411961e-05
            ],
            [
                1.147876812538911e-05,
                0.00010889687014821711,
                1.3007123811229494e-05,
                1.1478772230407462e-05,
                2.144495608046625e-05,
                3.120190763922401e-05,
                2.1444953521586782e-05,
                0.9996200154389395,
                1.6701429807964442e-05,
                2.1444940741392653e-05
            ],
            [
                0.9998601778928216,
                0.9995694429316268,
                0.9999038975508326,
                0.9992903297462838,
                0.9968273164896415,
                0.9990889488019435,
                0.9997388096017615,
                0.9989677691575956,
                0.9999417087560588,
                0.9997388096292115
            ],
            [
                0.9998911031051337,
                0.9999151889796997,
                0.999978555051631,
                0.9999038975967863,
                0.9999599362888041,
                0.9998415637278067,
                0.979667644468327,
                0.9978172832498913,
                0.9998204719986248,
                0.9999546021259655
            ],
            [
                0.9996200155664124,
                0.9998415637659944,
                0.9999646437577657,
                0.9999151889292452,
                0.9999339478789758,
                0.9999339478633558,
                0.9999646437619653,
                0.9997388097236524,
                0.9998204720346026,
                0.9999151889593514
            ],
            [
                0.9999785550592607,
                0.9975273763902591,
                0.9997965731053476,
                0.9998415638093158,
                0.9999785550439729,
                0.9999957771680665,
                0.9999151889198515,
                0.9998766053817768,
                0.999569442932754,
                0.9998415638033269
            ],
            [
                0.999997097688707,
                0.9999724643023429,
                0.9999646437366654,
                0.9993736659364384,
                0.9999930377445809,
                0.9999038975971876,
                0.9999038975877336,
                0.9991959140846673,
                0.9999687980737874,
                0.9996200155683249
            ],
            [
                0.9997965730754879,
                0.9999546021205883,
                0.9999546021151456,
                0.9997388095661343,
                0.9999967112493673,
                0.999954602147594,
                0.9999756997650809,
                0.9999646437577411,
                0.9999339478711289,
                0.9999038976082527
            ],
            [
                0.9999546021208411,
                0.9999852610110337,
                0.9996200154159566,
                0.9999785550541502,
                0.9999485577925961,
                0.9999785550573247,
                0.9999599362889109,
                0.9999952149037948,
                0.9999151889892526,
                0.999972464312199
            ],
            [
                0.9933071498744167,
                1.4738976698006875e-05,
                1.300712993308251e-05,
                7.484621828887399e-05,
                4.539785233683338e-05,
                1.8925145981833788e-05,
                1.6701419849447602e-05,
                6.605216039839083e-05,
                1.0129988564578197e-05,
                8.481102101484894e-05
            ],
            [
                4.5397857775848465e-05,
                0.00012339454506575626,
                0.0004878570475668758,
                0.00023050663085061811,
                3.535624225110421e-05,
                1.8925141469950998e-05,
                1.0129994602222992e-05,
                0.00015843617798263864,
                3.5356267560968415e-05,
                7.484621817070943e-05
            ],
            [
                0.999820472056068,
                0.9998601779595803,
                0.9999546021476632,
                0.9998911030648276,
                0.9999485577925665,
                0.999876605455085,
                0.9984988175033279,
                0.9998911030910429,
                0.9997388095980908,
                0.9999339478396766
            ],
            [
                0.9999810748450013,
                0.9999646437330917,
                0.9999646437577323,
                0.9999810748450013,
                0.9999599363221864,
                0.9999038975851828,
                0.9999724643155129,
                0.9859363730471495,
                0.9999417087493037,
                0.9998204720128602
            ],
            [
                0.9999930377437529,
                0.9999485578047985,
                0.99962001555968,
                0.9999724643121813,
                0.9953904281560727,
                0.9999599363221838,
                0.9999599363126035,
                0.9999546021151592,
                0.9999417087067477,
                0.9999724643023915
            ],
            [
                0.9999724643089218,
                0.9982992771983968,
                0.9999910603069114,
                0.9998204719503497,
                0.9999251537913478,
                0.9999930377454196,
                0.9995694428646406,
                0.9999251538022886,
                0.999933947863388,
                0.9999785550490603
            ],
            [
                0.9999485577803031,
                0.9998766054257122,
                0.9999485577680127,
                0.9999251537820024,
                0.9999687980886323,
                0.9999038975509013,
                0.9999038975737515,
                0.9999151889789025,
                0.9999832985821441,
                0.9997694932297829
            ],
            [
                2.753568451748946e-05,
                1.1478765388105516e-05,
                1.3007125362323574e-05,
                8.48110304072658e-05,
                1.6701417861189946e-05,
                1.4738978455325741e-05,
                5.422221555133606e-06,
                5.829129300372383e-05,
                5.4222202617511845e-06,
                4.450852111120808e-07
            ],
            [
                0.9996646498693872,
                0.9996200154836784,
                NaN,
                0.9999485577990392,
                0.9999339478238459,
                0.9999038975966479,
                0.9999251537819001,
                0.9997694932320701,
                0.9993736656969172,
                0.9999724643122271
            ],
            [
                0.00043055713662454667,
                2.7535684521195802e-05,
                0.005220124963285811,
                1.4738978457336465e-05,
                2.4300252320622747e-05,
                4.006370647870077e-05,
                1.8925141467059383e-05,
                1.300712381094558e-05,
                0.0001795280502563176,
                1.9947304344830644e-06
            ],
            [
                0.9988304896019465,
                0.9964063974277505,
                0.9995121428883723,
                0.9995694430204448,
                0.9996646498054906,
                0.9984988176572354,
                0.9998766053670707,
                0.9989677688727324,
                0.9990889489103444,
                0.9997965730798888
            ],
            [
                0.9998415637477489,
                0.9999869928668931,
                0.9999885212359942,
                0.9997388096598381,
                0.9999724643056453,
                0.9999970976866319,
                0.9999832985781957,
                0.9999810748427455,
                0.999978555046489,
                0.9999785550413702
            ],
            [
                0.974042643367335,
                0.9990889487447762,
                0.9998415638210723,
                0.9947798742629154,
                0.9999038975855228,
                0.9980732653004056,
                0.9999417087066884,
                0.9982992778271323,
                0.999925153781985,
                0.9399133464597458
            ],
            [
                0.9999869928746449,
                0.9999938558246656,
                0.9999646437451467,
                0.9984988178258006,
                0.9999646437367342,
                0.9999485578047429,
                0.9999852610233131,
                0.9999646437535026,
                0.9999546021207779,
                0.9999646437494065
            ],
            [
                0.9999646437451467,
                0.9999646437366789,
                0.9996200154240377,
                0.9995694429144668,
                0.9998415637850468,
                0.9999832985721882,
                0.9998204719699032,
                0.9999151889184459,
                0.9997965729813503,
                0.9998911030421441
            ],
            [
                8.481101096529726e-05,
                2.4300252313020203e-05,
                2.1444956079842134e-05,
                9.610243773517696e-05,
                7.889260704531226e-06,
                1.1478766752372975e-05,
                4.0063711254184204e-05,
                1.4738976686988113e-05,
                1.1478766756653273e-05,
                8.481107150203266e-05
            ],
            [
                3.120192623257619e-05,
                0.0009110511628234658,
                1.670142781636389e-05,
                5.144220137064579e-05,
                2.43002523073625e-05,
                1.4738976695459959e-05,
                3.5356259091803945e-05,
                1.6701429805655623e-05,
                6.605216037292109e-05,
                6.144175334015912e-06
            ],
            [
                0.9999151889184176,
                0.9994472214605478,
                0.9997965730540155,
                0.999769493183048,
                0.9988304896876201,
                0.9986749775493583,
                0.9998766053814608,
                0.9997965731035483,
                0.9465966747198242,
                0.9980732652574228
            ],
            [
                0.9998204719715357,
                0.9997388096370087,
                0.9999810748472664,
                0.9997040428662339,
                0.9996200154746466,
                0.9999251537460401,
                0.9997388096620952,
                0.9971990730023141,
                0.9997965729807168,
                0.9997694932084544
            ],
            [
                0.9975273765590971,
                0.9992903297072753,
                0.9999251537374092,
                0.9998911030391892,
                0.9999339478790292,
                0.9998415638407447,
                0.9999599363078385,
                0.9998601778955619,
                0.999941708734573,
                0.9999546021206072
            ],
            [
                0.9982992777395719,
                0.999972464302344,
                0.9998204720995709,
                0.9999785550490434,
                0.9998415637272235,
                0.9995694430155974,
                0.9991959140699826,
                0.9994472213235218,
                0.9998601779265051,
                0.9999151889384297
            ],
            [
                0.9999251537820395,
                0.9999756997621879,
                0.9999756997534794,
                0.999860177892494,
                0.9999869928761931,
                0.9995121428903876,
                0.9999485577680053,
                0.9998601779596697,
                0.9999417087136958,
                0.9999038975965528
            ],
            [
                0.9999646437577951,
                0.999876605455182,
                0.9998766053676919,
                0.9998601779265275,
                0.9999832985742064,
                0.9998204720986751,
                0.9999687980998413,
                0.9993736658303772,
                0.9999724642990675,
                0.9991959139692013
            ],
            [
                0.9998911030654314,
                0.9995694428586032,
                0.9998766053667189,
                0.9998766053811593,
                0.9999151889789345,
                0.9998601779769866,
                0.9997040427944791,
                0.99995993630783,
                0.9986749774991386,
                0.9999038975506293
            ],
            [
                3.535623805163821e-05,
                2.7535704228438656e-05,
                1.012998977108606e-05,
                5.422218323019487e-06,
                3.1201907628667734e-05,
                1.6701419848961534e-05,
                2.4300249415479343e-05,
                1.4738978457336465e-05,
                3.535625068386498e-05,
                3.535626755428014e-05
            ],
            [
                0.9998415637647566,
                0.9998204720783772,
                0.9999038975738438,
                0.9999038975628122,
                0.9995694429614373,
                0.9998601778592275,
                0.999915188978879,
                0.9999599363078874,
                0.999512142826866,
                0.999975699750598
            ],
            [
                1.3709575336947905e-06,
                2.4300237830711845e-05,
                1.4738987238035806e-05,
                1.3007130014873483e-05,
                4.222834451169694e-06,
                0.0017007224398973805,
                4.785095065093186e-06,
                1.1478770862067849e-05,
                4.7850967763512445e-06,
                2.4300243622255085e-05
            ],
            [
                0.9999810748449961,
                0.999704042974241,
                0.9999832985801506,
                0.9999930377462406,
                NaN,
                0.9999852610110197,
                0.9999599363078933,
                0.9991959141608964,
                0.9998415637275554,
                0.9959298621972746
            ],
            [
                4.0063692183734794e-05,
                2.430024359741423e-05,
                5.1442231983486416e-05,
                1.4738976698006875e-05,
                2.1444950965906214e-05,
                3.5356242272712497e-05,
                1.5534977545603963e-06,
                3.1201926246083686e-05,
                7.484621831392271e-05,
                1.4738987239698005e-05
            ],
            [
                0.9993736657340077,
                0.9940889319619055,
                0.9998601779097274,
                0.9999546021424788,
                0.999512142779835,
                0.010986943652709696,
                0.9999756997650695,
                0.9999151889283524,
                0.9999339478789859,
                0.9999417087415015
            ],
            [
                0.9999885212277752,
                0.9994472213849761,
                0.9999756997592965,
                0.9999038975964927,
                0.9998766054556901,
                0.9998601779093775,
                0.9998601779760303,
                0.9999339478554458,
                0.9998911030392968,
                0.9999417087285492
            ],
            [
                0.9999038975967038,
                0.9994472213213994,
                0.9999485577741227,
                0.9988304896113299,
                0.9998204720769719,
                0.9999339478790292,
                0.9995694428411428,
                0.9933071479117158,
                0.9989677688795748,
                0.9995694429692656
            ],
            [
                0.9999599363030504,
                0.9999810748472581,
                0.99994855779862,
                0.9997388096913766,
                0.99970404287035,
                0.999820472055543,
                0.9996200155334692,
                0.9914225160435468,
                0.9996200155463811,
                0.9997040429762215
            ],
            [
                0.9999687980849312,
                0.9997694932845664,
                0.999876605455182,
                0.9988304894715325,
                0.9999982396574177,
                0.9998415638231953,
                0.9999251537911169,
                0.9999898700066073,
                0.9999417087136692,
                0.9993736659704683
            ],
            [
                0.999620015563715,
                0.9994472213491197,
                0.9999646437451547,
                0.9991959140659608,
                0.9980732650407173,
                0.9999810748472484,
                0.9997694931785476,
                0.9989677688242348,
                0.9999485577802874,
                0.9999756997621906
            ],
            [
                0.9995694428300452,
                0.9999724643154851,
                0.9999417087483762,
                0.9998204719705327,
                0.9993736659212452,
                0.9902915232767695,
                0.9998601779108239,
                0.9875683463683652,
                0.9995121429535968,
                0.999796573053909
            ],
            [
                0.9796676471396664,
                0.9995694428194235,
                0.9999038975859632,
                0.9990889488007251,
                0.9990889488394017,
                0.9997040429443523,
                0.9997694933435284,
                0.9998415637075534,
                0.9998911031045918,
                0.9994472213672891
            ],
            [
                0.9998766054253622,
                0.9999869928687514,
                0.9999869928746427,
                0.9999945777791102,
                0.9999898700042877,
                0.9999724643056681,
                0.9999832985742226,
                0.999993037746242,
                0.9999785550413824,
                0.9999546021260286
            ],
            [
                0.9998766054107798,
                0.999988521231877,
                0.9998415637081411,
                0.9998911030785114,
                0.9999546021205975,
                0.9999869928684532,
                0.9999910603047645,
                0.999664649780006,
                0.9999898700090215,
                0.99883048979546
            ],
            [
                0.999903897596799,
                0.9982992771987922,
                0.99966464993103,
                0.9999339478240382,
                0.9999724643154743,
                0.9999339478711028,
                0.9999546021259734,
                0.9999756997476829,
                0.9999038976081353,
                0.9997965730995142
            ],
            [
                0.9999938558275986,
                0.9999785550490354,
                0.9999151889181979,
                0.9999832985721857,
                0.9999251537996486,
                0.999997097688361,
                0.9998415637651623,
                0.9999885212305348,
                0.9999546021314231,
                0.9999724643056813
            ],
            [
                0.9982992775454763,
                0.9999417087206438,
                0.9999852610215458,
                0.9999339478555087,
                0.9999687980961007,
                0.9999756997592719,
                0.9990889489970757,
                0.99990389759675,
                0.9998766053809797,
                0.9999987901338838
            ],
            [
                0.999954602136841,
                0.9999869928699864,
                0.9997388096029394,
                0.9999546021314264,
                0.9999898700066308,
                0.9999810748562864,
                0.9999930377404307,
                0.999989870004192,
                0.9999869928746392,
                0.9999485577741598
            ],
            [
                1.0129993394314164e-05,
                6.962255419475714e-06,
                4.222832437497486e-06,
                1.4738976699427788e-05,
                1.4738987242700688e-05,
                5.144223194306502e-05,
                5.422221555069497e-06,
                1.3007131564643372e-05,
                1.4738981970312625e-05,
                0.00010889694804630358
            ],
            [
                0.9998204719916036,
                0.9999832985702142,
                0.9999852610233173,
                0.9999038975966157,
                0.999841563840279,
                0.9999810748585316,
                0.999978555059262,
                0.9978172835353852,
                0.9999339478396064,
                0.9998911030391892
            ],
            [
                3.5356237990800615e-05,
                2.144495608105136e-05,
                2.1444945854624007e-05,
                2.7535700934898458e-05,
                2.7535694369155778e-05,
                0.9959298617989928,
                8.481103082684562e-05,
                0.0002305067266076123,
                6.962253759752719e-06,
                2.1444943290362748e-05
            ],
            [
                0.9998766054586723,
                0.10669058826486906,
                0.9999938558254059,
                0.9999599362887508,
                0.9999038975392831,
                0.9980732651893666,
                0.999991060305828,
                0.9999599362935825,
                0.9996646497887187,
                0.9999038975632555
            ],
            [
                0.9998766053833514,
                0.9996200154749562,
                0.9999724643154743,
                0.9999852610110019,
                0.9999885212264317,
                0.9999945777810321,
                0.9999869928746499,
                0.9999910603068946,
                0.9999485578047809,
                0.9999785550541502
            ],
            [
                0.9997040427651847,
                0.9971990728410361,
                0.9998204720557494,
                0.999933947871162,
                0.9999852610127649,
                0.9999485577741759,
                0.999948557786439,
                0.99979657310026,
                0.9999921107355423,
                0.9999921107392978
            ],
            [
                0.9999832985761651,
                0.999891103116832,
                0.9982992779261567,
                0.9999724643121964,
                0.9999546021313874,
                0.9998911030391447,
                0.9999785550464814,
                0.9999038976198575,
                0.9999930377420941,
                0.9999417087560876
            ],
            [
                0.9998601779270238,
                0.9999038976197933,
                0.9999038975404361,
                0.9991959138896049,
                0.9998911030658053,
                0.9988304897659501,
                0.9999852610145203,
                0.9997040427626961,
                0.9998911030792006,
                0.9997965730268371
            ],
            [
                0.9999599363177311,
                0.9999038976195668,
                0.9999785550541535,
                0.999891103129893,
                0.9999151889184558,
                0.9991959139585853,
                0.9999417087066845,
                0.9999038975738199,
                0.9968273165875767,
                0.9997388097863419
            ],
            [
                0.9999417087276202,
                0.9999785550414091,
                0.9997040428690498,
                0.999925153746081,
                0.9997040427950904,
                0.9975273770575712,
                0.9999852610215446,
                0.9998204720339496,
                0.9998766054251772,
                0.9999852610162746
            ],
            [
                0.9999785550439222,
                0.9999869928730878,
                0.999796573101506,
                0.999941708748396,
                0.999978555041368,
                0.999983298574178,
                0.999738809728364,
                0.99999457777974,
                0.999991060306894,
                0.9998911030651905
            ],
            [
                4.785092783319532e-06,
                0.00010889692200685404,
                0.00013982207374517024,
                8.481102085565546e-05,
                2.4300234929636645e-05,
                2.753569765908901e-05,
                3.535626754334737e-05,
                2.7535700942411318e-05,
                9.61024376337973e-05,
                8.939699500489763e-06
            ],
            [
                0.9999785550439503,
                0.9999599363125918,
                0.999704042795719,
                0.9999417087208576,
                0.9999646437492984,
                0.9999832985762371,
                0.9998911030518365,
                0.998830489898948,
                0.9999785550567555,
                0.9999485577864644
            ],
            [
                0.9999339478238412,
                0.999769493369706,
                0.9998766054406806,
                0.9999869928715369,
                0.9998766054404579,
                0.9999869928730875,
                0.9996646499339863,
                0.9999646437503037,
                0.9999930377412651,
                0.9996200154822191
            ],
            [
                0.9999038975507685,
                0.9999339478474747,
                0.9999810748427624,
                0.9991959139525992,
                0.999841563726774,
                0.9997694932849822,
                0.999860177876933,
                0.9999038975392628,
                0.9997965730772665,
                0.9999339478789913
            ],
            [
                0.9999251537731559,
                0.9998766053959677,
                0.999860177943238,
                0.9999599362935525,
                0.9999898700102369,
                0.9997965730074129,
                0.9998766053812437,
                0.9999852610180512,
                0.9999485577865206,
                0.9999687980886605
            ],
            [
                0.9992903297509483,
                0.9994472213879668,
                0.9998601779091578,
                0.9984988177261622,
                0.9999724643187772,
                0.9999832985821457,
                0.9997694932038869,
                0.9997965729782722,
                0.9999724643089656,
                0.9997965730041514
            ],
            [
                1.670141985166528e-05,
                7.889263525778283e-06,
                1.0129990978441666e-05,
                1.670141587068447e-05,
                1.0677027427068966e-06,
                4.006368251063874e-05,
                3.1201926235527406e-05,
                1.1478766757049986e-05,
                0.004609571890932559,
                5.422217675756574e-06
            ],
            [
                0.998967769070444,
                0.9999485577620203,
                0.9999952149072168,
                0.9996200154294435,
                0.9999756997563761,
                0.9999852610215472,
                0.9947798743838215,
                0.9999869928730869,
                0.9996200155217843,
                0.9999339478790019
            ],
            [
                2.4300234933172706e-05,
                5.144219522921654e-05,
                1.1478769493331685e-05,
                5.422217029943586e-06,
                2.144495607336692e-05,
                1.3007125363293615e-05,
                7.889260704631679e-06,
                4.5397890252070155e-05,
                1.4738983716586539e-05,
                1.4738987238035806e-05
            ],
            [
                0.9999785550541617,
                0.9999869928715429,
                0.999959936322143,
                0.9997694932857603,
                0.9999417087553925,
                0.9999417087206172,
                0.9995121427645933,
                0.999941708734573,
                0.9999038976081813,
                0.9999339478474896
            ],
            [
                0.9982992777124934,
                0.9959298621010075,
                0.9991959138935801,
                0.9997694932321975,
                0.9999687980998635,
                0.9997388096038058,
                0.9978172832808241,
                0.9959298627899783,
                0.9986749773350768,
                0.9997388095977412
            ],
            [
                0.9999832985821774,
                0.9991959140840126,
                0.999769493286337,
                0.9991959139294967,
                0.9999869928668871,
                0.9993736657523707,
                0.9978172836788929,
                0.999959936298279,
                0.9999151889588693,
                0.9968273170315982
            ],
            [
                0.9999724643094324,
                0.9959298629655243,
                0.9999646437324474,
                0.9993736659085295,
                0.9999646437366568,
                0.9999251537371397,
                0.99883048976731,
                0.9999546021476239,
                0.9953904271027265,
                0.9999485577925582
            ],
            [
                0.9989677687201571,
                0.9999810748450022,
                0.9990889486751581,
                0.9998204719844364,
                0.9999810748450044,
                0.9999756997621702,
                0.9999599363126256,
                0.9999898700102283,
                0.9997040429731042,
                0.9999251537907135
            ],
            [
                0.9999599363126119,
                0.9999980052709939,
                0.9999756997476814,
                0.9999785550541502,
                0.9998601778931329,
                0.9997388097565436,
                0.9998415637839242,
                0.9998204720127558,
                0.9999599363173852,
                0.9999485577741519
            ],
            [
                0.999769493202693,
                0.9995694430189668,
                0.9997388097531315,
                0.9968273171928598,
                0.9998204720360025,
                0.999925153773004,
                0.9999151889588594,
                0.9986749773883776,
                0.9998911030387843,
                0.999860177893019
            ],
            [
                0.9989677690509969,
                0.9998415638036543,
                0.9990889486047981,
                0.9840936114954207,
                0.9859363759656162,
                0.9995694429682763,
                0.9995694428668074,
                0.99984156376652,
                0.9998601779264359,
                0.9997040430097955
            ],
            [
                0.9997965729796218,
                0.999968798096944,
                0.9998911030667306,
                0.9999038975738788,
                0.9996646498554546,
                0.9991959140750335,
                0.999925153799634,
                0.9991959142530729,
                0.9999885212346146,
                0.9999724643056221
            ],
            [
                2.260325375615501e-06,
                1.0129992186939844e-05,
                6.962255419570695e-06,
                8.939693106987645e-06,
                6.962259569313662e-06,
                2.75357009220765e-05,
                6.144176066795103e-06,
                4.222834954687752e-06,
                2.1444953515423628e-05,
                1.9947301968673173e-06
            ],
            [
                0.9999832985841309,
                0.9999756997563768,
                0.999088948771691,
                0.9999687980774852,
                0.9999038975626431,
                0.9999945777790918,
                0.9999646437324424,
                0.999968798096124,
                0.9995121429422151,
                0.9998766054258917
            ],
            [
                0.9999832985722733,
                0.9999852610162742,
                0.9997040430194915,
                0.9999724643089181,
                0.9998601779784065,
                0.9999599363174725,
                0.9999832985722411,
                0.999620015573587,
                0.9999810748562757,
                0.9999832985721891
            ],
            [
                0.0052201251398086455,
                0.0035936029482454826,
                3.288748280837859e-06,
                2.7535691098355687e-05,
                1.3007123809644304e-05,
                2.753569109254574e-05,
                1.2098655392662613e-06,
                1.4738987241494252e-05,
                1.1478769492642663e-05,
                6.962256248314727e-06
            ],
            [
                2.1444958633416914e-05,
                8.93969310647542e-06,
                4.0063696955427154e-05,
                5.4222215552470286e-06,
                4.006371126555232e-05,
                1.30071315640992e-05,
                6.962257909412379e-06,
                1.3007126910649678e-05,
                6.605215247874642e-05,
                0.00013982214056894142
            ],
            [
                0.999664650010469,
                0.9840936051101058,
                0.9997965729794325,
                0.9999251537817503,
                0.9997388097292533,
                0.9999687980961494,
                0.9999151889795294,
                0.9994472214659503,
                0.9993736658669576,
                0.9999599363221742
            ],
            [
                0.999820472013615,
                0.9999756997505992,
                0.9999417087206086,
                0.9980732651002666,
                0.9998204720554438,
                0.9999038975397089,
                0.9995694429138906,
                0.9996646499755498,
                0.9999038976209734,
                0.9999756997567892
            ],
            [
                3.53562591107112e-05,
                2.9023133690980155e-06,
                4.006370173294989e-05,
                3.120191137012976e-05,
                1.4738976699106073e-05,
                6.962257079173776e-06,
                6.1441746017453204e-06,
                0.000911051306881111,
                NaN,
                1.4738978455325741e-05
            ],
            [
                0.9989677691990105,
                0.9997388095977412,
                0.9998911031174453,
                0.9994472212584338,
                0.9996200155157152,
                0.9996646497361203,
                0.9999151889487705,
                0.9996200154260607,
                0.9999038976194913,
                0.9999251537907967
            ],
            [
                3.5356246473207964e-05,
                6.96225541788636e-06,
                4.5397884856980825e-05,
                2.1444953523537147e-05,
                0.9989677688625287,
                1.6701421843356024e-05,
                1.0129988564578197e-05,
                2.4300252319296727e-05,
                7.484625381503078e-05,
                1.6701415865641523e-05
            ],
            [
                0.999903897597308,
                0.9998911030526619,
                0.9999546021477371,
                0.010986944705186207,
                0.9999852610110133,
                0.9999417087275694,
                0.9914225138101392,
                0.9995694429192765,
                0.9999810748585449,
                0.999948557768061
            ],
            [
                0.0001233946189090066,
                0.001325022359599015,
                0.0001584362730899713,
                4.5397890270732005e-05,
                4.539789028064095e-05,
                0.0005527785732825941,
                0.0007096702806300439,
                4.539785780557527e-05,
                0.0002611902146917034,
                0.0013250225866665466
            ],
            [
                0.9992903294355773,
                0.9998601778595368,
                0.9996646498960328,
                0.9998415638221442,
                0.9999546021151355,
                0.99995460213681,
                0.9999151889597425,
                0.9999756997592878,
                0.9997388096629539,
                0.9982992779028336
            ],
            [
                8.939700564890901e-06,
                5.829128615365693e-05,
                0.00012339454510166436,
                3.535623805665442e-05,
                3.535624227875767e-05,
                0.00010889689602128323,
                4.539785779797843e-05,
                9.610246055259474e-05,
                2.7535681246690542e-05,
                2.7535691095550887e-05
            ],
            [
                1.8925155007633607e-05,
                4.539788486688977e-05,
                8.481101099738277e-05,
                1.892514146884943e-05,
                2.1444948410928083e-05,
                9.610246065397443e-05,
                1.4738980212644815e-05,
                4.785093352595421e-06,
                4.222834451065997e-06,
                4.006370172318498e-05
            ],
            [
                0.9997694932357724,
                0.9998601779769093,
                0.9999724643154765,
                0.9999885212332883,
                0.9999687980740166,
                0.9999251537908125,
                0.9996200154842532,
                0.9999687980962587,
                0.9999339478632404,
                0.9999785550593115
            ],
            [
                0.9999938558232012,
                0.9579122729855218,
                0.9997388095890548,
                0.999860177926084,
                0.9989677688646894,
                0.9999417087554633,
                0.9999151889595673,
                0.9999687980813556,
                0.995390426769416,
                0.9995121428811062
            ],
            [
                4.006370647870077e-05,
                0.002800926550919386,
                0.9859363761980605,
                0.00012339460418487908,
                1.3007125359413455e-05,
                1.4738980213985297e-05,
                0.24508500761839525,
                3.535625070315809e-05,
                0.0006263340443970072,
                0.000139822040484859
            ],
            [
                0.9999852610110042,
                0.9999038975752407,
                0.9999417087414129,
                0.9999869928684351,
                0.999860177909463,
                0.9996200154786263,
                0.9999251537373732,
                0.9999724643122028,
                0.9999921107402394,
                0.999941708720878
            ],
            [
                NaN,
                0.9998601779613684,
                0.9978172831317385,
                0.9999151889183984,
                0.9997388096323121,
                0.9995694428679973,
                0.9998911031305648,
                0.9997965730798888,
                0.9989677688783745,
                0.999915188969299
            ],
            [
                0.9999599363030677,
                0.999972464302351,
                0.9999417087275605,
                0.999941708741465,
                0.9999546021205975,
                0.9980732651678751,
                0.9997388097529946,
                0.9986749777545509,
                0.9997965730030326,
                0.9999151889688598
            ],
            [
                0.9999485577742335,
                0.9991959140101219,
                0.9998766053670707,
                0.9999646437324665,
                0.999989870011442,
                0.9984988178982175,
                0.9999957771660551,
                0.9993736659839128,
                0.9999852610110114,
                0.9999417087208847
            ],
            [
                0.9999485577740962,
                0.9999339478317756,
                0.9993736658208678,
                0.9999599363078321,
                0.9999869928761874,
                0.9998911030647413,
                0.9999938558246658,
                0.9999756997679662,
                0.9999251537728161,
                0.9998204719926876
            ],
            [
                6.605217335383543e-05,
                2.1444943294263477e-05,
                1.1478765388105516e-05,
                1.1478770861859053e-05,
                4.0063687367153544e-05,
                3.120190392670705e-05,
                4.222832941142044e-06,
                0.00023050668589562627,
                7.889261644982674e-06,
                1.4738981971250963e-05
            ],
            [
                0.9997388096606132,
                0.998967768863609,
                0.9997388096164136,
                0.9999038975737963,
                0.9999646437577258,
                0.9999038975626976,
                0.993307148812577,
                0.997817283393906,
                0.999704042800963,
                0.9998204719917813
            ],
            [
                0.999903897562355,
                0.9999417087344838,
                0.9999251537995099,
                0.9999038976079275,
                0.9999646437450943,
                0.9999687980849298,
                0.9994472213885778,
                0.9999646437577634,
                0.9997040429745337,
                0.9998601779763783
            ],
            [
                0.9999810748540204,
                0.9998204720989285,
                0.9999852610180284,
                0.9999485577802795,
                0.9999251537729876,
                0.9999546021259992,
                0.9998911030517865,
                0.9999038976196002,
                0.9998415637648419,
                0.9999151889292736
            ],
            [
                0.9999251537738507,
                0.999088948996281,
                0.9993736658295757,
                0.9996200155186779,
                0.9997040429713907,
                0.9996200154720597,
                0.9999832985801769,
                0.9999485578052424,
                0.9989677688269958,
                0.9947798746788323
            ],
            [
                0.995390428581257,
                0.9999599363126842,
                0.9998766054693604,
                0.9959298613780599,
                0.9999945777797765,
                0.9982992775873788,
                0.9998766054573616,
                0.9989677689592837,
                0.999941708734578,
                0.9999869928684358
            ],
            [
                0.9999485577864229,
                0.999978555041368,
                0.9999687980997889,
                0.9999885212264021,
                0.9999151889188952,
                0.9997040427977598,
                0.9998911030652063,
                0.9999417087346539,
                0.9999417087415308,
                0.9999417087207032
            ],
            [
                0.9999810748562891,
                0.9999339478790292,
                0.9998204719916403,
                0.999933947871197,
                0.9999417087208444,
                0.998299277345451,
                0.9999756997679594,
                0.9995694430168375,
                0.9999921107392991,
                0.9994472214661112
            ],
            [
                0.9999038975393677,
                0.9996646498155106,
                0.9999339478317334,
                0.999933947847538,
                0.9993736659877382,
                0.9999785550541578,
                0.9975273771511787,
                0.9999599363078364,
                0.9989677688053881,
                0.9997388096863609
            ],
            [
                3.5356246490314526e-05,
                1.0129990979694647e-05,
                8.939700566289352e-06,
                2.7535700933696396e-05,
                1.1478770860982112e-05,
                3.1201926241089315e-05,
                7.889260704423598e-06,
                4.53978848104088e-05,
                8.939695238439078e-06,
                6.962253759581752e-06
            ]
        ]
    },
    {
        "q_id": "10574_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            96,
            97,
            98,
            99,
            100,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            117,
            120,
            121,
            123,
            124,
            125,
            126,
            127,
            101,
            116,
            118,
            119,
            122
        ],
        "rewards": [
            [
                1.670141786231398e-05,
                2.4300246523773334e-05,
                2.7535694378772238e-05,
                6.962253759157502e-06,
                1.6701415871049018e-05,
                2.561282821209454e-06,
                1.47389854857293e-05,
                2.260323489435463e-06,
                4.222832941111319e-06,
                1.0677029973056687e-06
            ],
            [
                6.962253759752719e-06,
                8.939696304002375e-06,
                3.2887482807780376e-06,
                8.93970056529743e-06,
                2.9023112932045342e-06,
                3.9278634073312583e-07,
                2.5612822106654943e-06,
                5.715006514074756e-07,
                7.889266347456862e-06,
                7.889259764273619e-06
            ],
            [
                6.962254589528684e-06,
                1.994729483680993e-06,
                5.422218969818919e-06,
                1.067703379154416e-06,
                3.288748281295496e-06,
                1.01299946023704e-05,
                8.939699501132077e-06,
                1.4738980213020151e-05,
                1.3007128463352975e-05,
                2.9023123310580418e-06
            ],
            [
                6.144177531381426e-06,
                6.96225956837018e-06,
                5.422220260508458e-06,
                4.785094494628999e-06,
                4.22283344433731e-06,
                1.0129994600638342e-05,
                6.9622562484666964e-06,
                8.939700563752626e-06,
                1.8925152750692706e-05,
                6.144174601208867e-06
            ],
            [
                4.222835457733473e-06,
                5.422217676797111e-06,
                4.450850519360903e-07,
                3.927861534406222e-07,
                2.2603234894745224e-06,
                3.2887506330851655e-06,
                4.222833444467892e-06,
                4.2228329408924035e-06,
                6.962253759752719e-06,
                5.422219614951598e-06
            ],
            [
                0.9999885212305122,
                0.9999980052707549,
                0.9999977396759718,
                0.9740426424725429,
                0.9999921107345966,
                0.9999962733611607,
                0.9995694429660341,
                0.9999987901347491,
                0.9999977396754829,
                0.9999810748524044
            ],
            [
                1.012999097997104e-05,
                3.535625492063251e-05,
                2.1444953525877587e-05,
                6.96225956921868e-06,
                2.902311293147782e-06,
                6.144175334015912e-06,
                7.88926634755014e-06,
                1.670142582682936e-05,
                1.1478772230407462e-05,
                8.481107159026786e-05
            ],
            [
                0.9999962733620487,
                0.9999945777797382,
                0.9999980052707541,
                0.9999984465026158,
                0.9999945777823229,
                0.9999957771650457,
                0.9998911030648276,
                0.9999967112497584,
                0.9999977396746244,
                0.9999967112517189
            ],
            [
                1.994729483680993e-06,
                2.9023123309973302e-06,
                6.144173868781898e-06,
                1.3007130013288297e-05,
                2.9023112931213857e-06,
                1.994729483705484e-06,
                1.1478773598538445e-05,
                1.4738976699106073e-05,
                1.2098659719441482e-06,
                5.715002426410745e-07
            ],
            [
                1.7603430034311638e-06,
                1.7603432133136672e-06,
                1.0677028700053041e-06,
                1.3709573702248741e-06,
                1.3709573702647743e-06,
                1.7603436330179102e-06,
                1.9947297214182054e-06,
                5.422218969463855e-06,
                7.889262585082652e-06,
                4.785093353909723e-06
            ],
            [
                0.9999977396754327,
                0.9924227591733523,
                0.9999687980997854,
                0.9999910603058273,
                0.9999485577740872,
                0.9999646437324273,
                0.9999980052709919,
                0.9999970976869769,
                0.9999599363088552,
                0.9999997617630616
            ],
            [
                0.9999994956523512,
                0.9999996940977731,
                0.9999938558224687,
                0.9999986290421394,
                0.9999977396751657,
                0.9999982396559474,
                0.9999994284995529,
                0.999999730042126,
                0.9999997300422547,
                0.9999995549150011
            ],
            [
                1.1478772229551402e-05,
                3.726640172537657e-06,
                6.962255419570695e-06,
                4.222835458044565e-06,
                2.1444948411552198e-05,
                2.260323758939877e-06,
                1.670142980608093e-05,
                4.785093923982095e-06,
                1.1478765388523107e-05,
                3.288749457432399e-06
            ],
            [
                0.999999554914895,
                0.9999996940977002,
                0.9999984465015047,
                0.9999995549150011,
                0.9999974387180947,
                0.9999991684718733,
                0.9999977396762411,
                0.9999996533674614,
                2.144495606626759e-05,
                0.9999967112509347
            ],
            [
                0.9999995549151073,
                0.9999974387187053,
                0.9999980052693275,
                0.9999993524052789,
                0.9999991684717741,
                0.99999976176309,
                0.9999984465018751,
                0.9999987901338838,
                0.9999987901343165,
                0.9999992661791944
            ],
            [
                0.9999989322972572,
                0.9999982396567868,
                0.9999977396754327,
                0.9999984465020603,
                0.9999952149060761,
                0.9999991684715758,
                0.999999057755743,
                0.9999987901344607,
                0.9999980052707541,
                0.9999994956527722
            ],
            [
                0.999999814460854,
                0.9999994284992805,
                0.9999996533674202,
                0.9999995549150011,
                0.9999989322968754,
                0.999999789756684,
                0.9999996940977731,
                0.9999994284997573,
                0.9999996072136592,
                0.999998446502801
            ],
            [
                0.9999974387177893,
                0.9999952149055052,
                0.9999967112501505,
                0.9999987901343166,
                0.9999977396765105,
                0.999997739674894,
                0.999997097687669,
                0.9999977396748938,
                0.9999989322972573,
                0.9999990577552939
            ],
            [
                0.9999977396757023,
                0.9999994284992806,
                0.9999945777810305,
                0.9999989322968753,
                0.9999967112505431,
                0.9999967112517189,
                0.9999910603068942,
                0.9999994284993486,
                0.9999962733607162,
                0.999998790134605
            ],
            [
                3.726641060536473e-06,
                2.1444958635523312e-05,
                1.473898724181597e-05,
                7.889265407090955e-06,
                7.889259763857458e-06,
                8.93969736955767e-06,
                7.889259764273619e-06,
                7.889259764079887e-06,
                8.93969843377968e-06,
                4.222835458148261e-06
            ],
            [
                0.9999997897566089,
                0.999999352404893,
                0.9999982396567868,
                0.9999984465024306,
                0.99999862904312,
                0.9999962733602719,
                0.9999990577554061,
                0.99999893229713,
                0.9999980052695652,
                0.9999993524050474
            ],
            [
                1.760343213227212e-06,
                2.382369383923073e-07,
                3.2887494570719725e-06,
                6.962257909121104e-06,
                1.9947290081177566e-06,
                1.99472995920443e-06,
                1.0677024881829577e-06,
                3.2887490652810324e-06,
                5.422217676866151e-06,
                8.315277302588544e-07
            ],
            [
                0.9999930377420941,
                0.9999977396759746,
                0.9999898700078136,
                0.14804719427274568,
                0.9999921107383553,
                0.9999962733607161,
                0.0015011825415181918,
                0.9999952149055077,
                0.9999898700102304,
                0.999994577782323
            ],
            [
                7.889263525663481e-06,
                3.726639728348526e-06,
                1.5534984953298217e-06,
                1.0677026154619133e-06,
                1.7603436329978976e-06,
                2.4300232043369055e-05,
                1.370957370247318e-06,
                2.5612812946681295e-06,
                4.222834451327159e-06,
                6.144175334172377e-06
            ],
            [
                1.300712846361323e-05,
                2.4300240713399853e-05,
                1.3007130014636887e-05,
                4.006370651207639e-05,
                3.288750241500471e-06,
                6.144177531459659e-06,
                1.4738985484227961e-05,
                4.785093353626844e-06,
                7.484621827634963e-05,
                3.120191876474564e-05
            ],
            [
                1.4738983728490028e-05,
                1.7603430034743913e-06,
                4.2228349546493465e-06,
                8.93969630388855e-06,
                1.9947297214944016e-06,
                1.0677032518700286e-06,
                1.553497384180408e-06,
                1.9947306725215466e-06,
                3.7266406168624155e-06,
                1.7603436330179102e-06
            ],
            [
                0.9999997617630617,
                0.9999996533672962,
                0.999999266179107,
                0.9999898700126444,
                0.9999989322966208,
                0.999999266179107,
                0.9999991684719723,
                0.9999810748562736,
                0.9999996072138934,
                0.9999938558261319
            ],
            [
                7.889266347456862e-06,
                2.7535684529910724e-05,
                1.0129988563546333e-05,
                3.120192624233791e-05,
                4.539785781961294e-05,
                1.0129992186774007e-05,
                1.370957370247318e-06,
                4.785095065132354e-06,
                6.962256248606003e-06,
                1.0677024881887838e-06
            ],
            [
                8.939697369151141e-06,
                2.9023109470554753e-06,
                3.7266388398585725e-06,
                6.144176066353646e-06,
                4.785093353352668e-06,
                2.902311639126627e-06,
                2.1444945854624007e-05,
                5.04347528438253e-07,
                1.0677028700266676e-06,
                6.9622579095833456e-06
            ],
            [
                0.9999885212305103,
                0.9999599362911407,
                0.999968798096083,
                0.9999810748540298,
                0.9999930377462473,
                0.9999957771650455,
                0.999989870005398,
                0.9999945777790914,
                0.9999599362934974,
                0.9999832985761893
            ],
            [
                8.939694172542558e-06,
                NaN,
                2.144495608046625e-05,
                1.0129995808418327e-05,
                3.1201926243586504e-05,
                1.300713466619476e-05,
                1.012999460251781e-05,
                2.4300240730549767e-05,
                0.00010889689626212509,
                4.5397890270732005e-05
            ],
            [
                0.999991060302631,
                0.9999977396757022,
                0.9999957771650453,
                0.9999938558232012,
                0.9999945777810303,
                0.999999730042126,
                0.9999980052709919,
                0.9999996533672135,
                0.9999962733602733,
                0.9999992661788445
            ],
            [
                1.5534971989427613e-06,
                2.2603245673155757e-06,
                1.3709575336860625e-06,
                5.422220908876325e-06,
                2.902313023101807e-06,
                8.939700566289352e-06,
                1.5534983100228109e-06,
                7.338207180761315e-07,
                1.7603436329978976e-06,
                2.902312677104321e-06
            ],
            [
                0.9999996533674202,
                0.999999730042126,
                0.9999996940976271,
                0.9999996533674615,
                0.999999428499553,
                0.9999995549150542,
                0.9999991684718732,
                0.9999997300422869,
                0.9999996533672962,
                0.9999930377420905
            ],
            [
                6.962258739169842e-06,
                3.5356259128846735e-05,
                6.962257079173776e-06,
                1.1478764018827141e-05,
                5.422220262555012e-06,
                1.6701429807964442e-05,
                1.0129988562661878e-05,
                1.553498310118888e-06,
                8.93969736942758e-06,
                5.715007195384861e-07
            ],
            [
                5.422217676979575e-06,
                1.3007131562514014e-05,
                5.422219616184461e-06,
                0.9999962733602717,
                1.670142781709299e-05,
                4.222831934321543e-06,
                8.939699500636112e-06,
                2.9023112932045342e-06,
                2.2603237589028734e-06,
                3.288749457383046e-06
            ],
            [
                0.9996646497749326,
                0.9999921107402369,
                0.9999977396746247,
                0.9999945777803844,
                0.9999945777784695,
                0.9999785550541778,
                0.9999756997679775,
                0.9999921107346703,
                0.9999646437366568,
                0.999998005270517
            ],
            [
                7.889266347004826e-06,
                1.0677031245851707e-06,
                9.422450431732037e-07,
                1.0677032518700286e-06,
                3.726637951367137e-06,
                5.043475885674441e-07,
                6.475948754028718e-07,
                7.889265407090955e-06,
                1.0129993395088066e-05,
                2.430023492353693e-05
            ],
            [
                6.605212099816935e-05,
                1.012998977108606e-05,
                1.892515500388139e-05,
                1.147877086073156e-05,
                1.0129987357287368e-05,
                8.939695238536645e-06,
                2.9023119851266288e-06,
                2.2603251061232293e-06,
                7.889263526093993e-06,
                2.144494329769612e-05
            ],
            [
                0.9999990577555185,
                0.999997097688707,
                0.9999995549147889,
                0.9999990577550691,
                0.9999962733620488,
                0.99999893229713,
                0.9999992661788445,
                0.9999991684718733,
                0.9999996533672962,
                0.9999952149032236
            ],
            [
                1.6701415868193372e-05,
                0.00012339461853915284,
                1.1478765389065974e-05,
                5.422218323019487e-06,
                1.4738981953476161e-05,
                1.3709567165087443e-06,
                1.4738988994980593e-05,
                6.9622545846972985e-06,
                2.902312677007974e-06,
                3.535624646947797e-05
            ],
            [
                0.9999982396572064,
                0.9999977396765105,
                0.9999977396759717,
                0.9999898700090215,
                0.9999991684718733,
                0.9999990577550691,
                0.999998790134028,
                0.9999967112501504,
                0.9999970976887073,
                0.9999945777816778
            ],
            [
                0.9999599362989351,
                0.9999546021440378,
                0.999992110735537,
                0.9999910603026356,
                0.9999995549147911,
                0.9999989322972573,
                0.9999982396565769,
                0.9999967112497615,
                0.9999986290421394,
                0.9999982396561573
            ],
            [
                2.2603251061849014e-06,
                3.726638839656906e-06,
                4.785096205582214e-06,
                4.785093353626844e-06,
                1.994729008056074e-06,
                1.3709575337016483e-06,
                4.222832437324657e-06,
                1.3709568799760888e-06,
                8.315284241560147e-07,
                1.0129992183070348e-05
            ],
            [
                0.9999986290427931,
                0.9999977396754327,
                0.999996273360716,
                0.9999987901341723,
                NaN,
                0.9999980052693274,
                0.9999599363030371,
                0.9999785550490472,
                0.9999986290427932,
                0.9999996533672962
            ],
            [
                0.9999599363030504,
                0.9999938558253981,
                6.962255419279419e-06,
                8.939699501132077e-06,
                1.7603427936183298e-06,
                1.14787708624228e-05,
                2.561282210701601e-06,
                1.670142383495587e-05,
                5.422219616085833e-06,
                3.535624648542694e-05
            ],
            [
                6.962256249682458e-06,
                1.1478770861211786e-05,
                8.315279285205827e-07,
                2.4300243620398656e-05,
                2.5612815996930587e-06,
                3.2887482812506295e-06,
                7.889260704631679e-06,
                1.0129990979842057e-05,
                1.1478772228528306e-05,
                6.1441724044534996e-06
            ],
            [
                0.9999993524051246,
                0.9999996940976636,
                0.9999994956524716,
                0.999999554914842,
                0.9999810748586997,
                0.9999997617630332,
                0.9999993524053562,
                0.9999996940977366,
                0.9999984465015046,
                0.9999989322970027
            ],
            [
                0.9999810748472509,
                0.9999952149043645,
                0.9999756997650643,
                0.999989870010228,
                0.9999987901344608,
                0.9999962733616043,
                0.9999962733598275,
                0.9999982396569966,
                0.9997965730515561,
                0.9999869928699856
            ],
            [
                2.753568124348506e-05,
                1.0129988562661878e-05,
                1.1478766757049986e-05,
                2.1444940739364273e-05,
                1.3007130013856124e-05,
                5.144221338852183e-05,
                2.902313368963394e-06,
                8.939696304116203e-06,
                7.889261644760245e-06,
                4.785094494716039e-06
            ],
            [
                3.7266388397721442e-06,
                8.939699500896292e-06,
                5.422218969818919e-06,
                4.785093353787868e-06,
                2.144494074076854e-05,
                2.561282210618905e-06,
                7.338210679909462e-07,
                3.7266397283231055e-06,
                5.422219616026655e-06,
                3.2887494572873306e-06
            ],
            [
                2.260324567302214e-06,
                3.5356238059741304e-05,
                7.889264466639056e-06,
                7.889266347248781e-06,
                5.829126550803852e-05,
                4.785095065171522e-06,
                6.9622587396067566e-06,
                3.120191880379252e-05,
                3.288748281295496e-06,
                0.9991959139557326
            ],
            [
                0.9999982396567869,
                0.9997694933671104,
                0.9999974387177893,
                0.999991060306893,
                0.9999962733611605,
                0.9999938558246657,
                0.9999962733620494,
                0.9999962733602719,
                0.9999992661792819,
                0.9999977396754328
            ],
            [
                6.96225956921868e-06,
                5.4222202623972055e-06,
                1.1478769493540482e-05,
                1.3007131565140219e-05,
                4.222832437324657e-06,
                8.939700566435704e-06,
                2.561283126639892e-06,
                2.430023204129162e-05,
                2.561281294644835e-06,
                2.9023109471689794e-06
            ],
            [
                3.7266383952696564e-06,
                5.422219616140078e-06,
                7.889261645355786e-06,
                2.1444950970626095e-05,
                8.939700565102295e-06,
                1.3007133115903994e-05,
                4.222834451327159e-06,
                6.962254589781966e-06,
                8.315279285251204e-07,
                2.902313023101807e-06
            ],
            [
                2.7535697661092444e-05,
                1.3007128463873485e-05,
                2.430024362932722e-05,
                8.939695238089467e-06,
                3.1201907654207106e-05,
                1.4738987241172537e-05,
                4.785093923847183e-06,
                1.1478764018305152e-05,
                2.7535694375867267e-05,
                1.300712846477255e-05
            ],
            [
                0.9999992661789321,
                0.9999952149060758,
                0.9999898700053977,
                0.9999992661790196,
                0.9999952149032236,
                0.9999945777790913,
                0.9999869928668841,
                0.9999967112505425,
                0.999997438717484,
                0.9999967112501507
            ],
            [
                0.999999266178757,
                0.9999996072138465,
                0.9999996940977366,
                0.9999986290421395,
                0.9999996940978095,
                0.9999984465015047,
                0.9999994956524715,
                0.999999730042126,
                0.9999991684717741,
                0.9999982396574171
            ],
            [
                0.999999495652652,
                0.9999984465018751,
                0.9999986290427931,
                0.9999989322973845,
                0.9999984465022455,
                0.9999994284996211,
                0.9999991684715759,
                0.9999994284994167,
                0.9999994284994167,
                0.9999994956525318
            ],
            [
                0.9999997300422869,
                2.260323758939877e-06,
                0.9999984465022455,
                0.9999994284993486,
                0.9999994956524715,
                0.9999930377454109,
                0.999998446502801,
                0.999999694097846,
                0.9999990577554061,
                0.9999989322971299
            ],
            [
                1.012998977022003e-05,
                7.889264465397747e-06,
                6.9622562489985925e-06,
                2.5612812946681295e-06,
                1.0129987356375273e-05,
                4.222831934156396e-06,
                2.260323489435463e-06,
                2.9023109470554753e-06,
                0.9999038976195121,
                8.481104129042625e-05
            ],
            [
                3.288748673319648e-06,
                7.889266346287306e-06,
                3.0590229984085774e-07,
                4.222831934202483e-06,
                5.422220262555012e-06,
                3.927863875520681e-07,
                3.2887502414436403e-06,
                3.466327450744504e-07,
                3.288748673035494e-06,
                3.2887506334560605e-06
            ],
            [
                1.6701429807630274e-05,
                1.892514823426434e-05,
                3.2887498492936755e-06,
                1.8925152752586028e-05,
                0.9947798738397442,
                0.9626731147976795,
                4.2228329408924035e-06,
                3.535625071473396e-05,
                1.3007131562845248e-05,
                3.726638839656906e-06
            ],
            [
                3.120191134288775e-05,
                3.7266401725935817e-06,
                2.561283431942246e-06,
                1.473898899846585e-05,
                8.939700566565793e-06,
                5.42222090882208e-06,
                3.726638395634011e-06,
                4.5397852394305204e-05,
                5.4222215552470286e-06,
                5.144220139179215e-05
            ],
            [
                2.9023116391675407e-06,
                3.05902226923399e-07,
                2.561282821352716e-06,
                3.288750241500471e-06,
                9.422449308716635e-07,
                7.889265407004852e-06,
                3.726641060956752e-06,
                5.422220908876325e-06,
                2.56128282131428e-06,
                2.2603240283888175e-06
            ],
            [
                6.605217612378949e-05,
                6.1441724046434924e-06,
                1.3007133112662637e-05,
                7.889261644631091e-06,
                1.4738978457336465e-05,
                3.7266379513434106e-06,
                7.889266346603015e-06,
                3.120192253242944e-05,
                2.1444950963097686e-05,
                4.7850939242083995e-06
            ],
            [
                0.9999898700114371,
                0.9999938558254031,
                0.9999945777790924,
                0.9999885212305113,
                0.9999756997592822,
                0.999992110735535,
                0.9999832985761757,
                0.9999945777816792,
                0.9999957771680682,
                0.9999970976866319
            ],
            [
                1.0677027427569065e-06,
                1.300713311517055e-05,
                7.889263526266196e-06,
                1.1478765388523107e-05,
                1.2098659719661556e-06,
                1.8925148241080285e-05,
                3.2887490653408545e-06,
                1.8925157265710765e-05,
                5.4222183234485234e-06,
                1.6701417861949427e-05
            ],
            [
                6.144173136729416e-06,
                1.892514598427789e-05,
                2.1444948393530826e-05,
                1.4738983719589221e-05,
                5.422220262333096e-06,
                5.422221554926484e-06,
                6.1441746017453204e-06,
                1.9947301970451086e-06,
                1.0129990979547237e-05,
                4.222832437639588e-06
            ],
            [
                0.9999967112493665,
                0.999988521233244,
                0.9999962733611601,
                0.9999930377462403,
                0.9999832985741766,
                0.9999869928761876,
                0.9999986290424663,
                0.999991060299434,
                0.9999994284992805,
                0.9999980052705163
            ],
            [
                3.7266406167827664e-06,
                0.00012339458948050277,
                5.829128638267104e-05,
                6.605213677978425e-05,
                2.4300232041998833e-05,
                4.785092783415276e-06,
                3.7266397283231055e-06,
                4.785094494576774e-06,
                3.5356254926549066e-05,
                1.4738987242700688e-05
            ],
            [
                3.1201918807538294e-05,
                4.0063692185483734e-05,
                1.8925145983348442e-05,
                6.9622545892184106e-06,
                4.5397879445707534e-05,
                3.535624650021832e-05,
                1.4738985486265496e-05,
                2.1444945849006956e-05,
                4.006368262300812e-05,
                4.539785237052376e-05
            ],
            [
                0.9999997300422547,
                0.999999855502048,
                0.9999990577554061,
                0.9999989322966208,
                0.9999994956524716,
                0.9999993524054334,
                0.9999980052698034,
                0.9999987901338838,
                0.999999266178932,
                0.9999984465026159
            ],
            [
                4.0063711283916205e-05,
                2.2603237588597026e-06,
                1.300713466619476e-05,
                1.0129987355988324e-05,
                1.0129989772274546e-05,
                1.670141786231398e-05,
                4.22283394762097e-06,
                7.889262585642319e-06,
                1.8925152751174644e-05,
                1.1478770862589836e-05
            ],
            [
                1.6701419850389357e-05,
                1.01299946023704e-05,
                6.144175334015912e-06,
                5.422219613511613e-06,
                1.0129988564578197e-05,
                1.3709567165461505e-06,
                2.7535694380675497e-05,
                1.5534983101478522e-06,
                1.4738985484871391e-05,
                6.9622537584863015e-06
            ],
            [
                3.535625491265802e-05,
                8.93969310647542e-06,
                1.6701421842566163e-05,
                9.610243770231598e-05,
                5.144220752349106e-05,
                4.785095065045315e-06,
                1.8925143725892257e-05,
                1.0677029973114952e-06,
                1.670142980380249e-05,
                4.785092783415276e-06
            ],
            [
                2.902312676941983e-06,
                8.939700566143004e-06,
                3.288749849368453e-06,
                1.1478765388523107e-05,
                1.1478772230407462e-05,
                1.1478766757237902e-05,
                3.2887490652810324e-06,
                1.0129990979842057e-05,
                1.473898372822193e-05,
                1.3007123811513407e-05
            ],
            [
                4.785092783319532e-06,
                2.902312677007974e-06,
                1.7603427936079236e-06,
                5.04347528440776e-07,
                2.902313368860448e-06,
                3.2887506333394084e-06,
                6.144177531208195e-06,
                1.553498495281783e-06,
                6.9622579092224155e-06,
                4.222833444429485e-06
            ],
            [
                6.605216828583859e-05,
                5.1442213646395314e-05,
                8.93970056668775e-06,
                3.726640172537657e-06,
                3.535625070624499e-05,
                4.7850939242083995e-06,
                2.7535700941409604e-05,
                3.535625913952226e-05,
                1.8925150497435443e-05,
                1.5534971989992774e-06
            ],
            [
                0.9999646437492907,
                0.9999852610145195,
                0.9999910603058279,
                0.9999646437366535,
                0.9999970976883611,
                0.9999756997651982,
                0.9999852610145158,
                0.999995214904365,
                0.9999646437492923,
                0.9999945777790921
            ],
            [
                4.785095635296322e-06,
                1.473898197154587e-05,
                9.610244922114349e-05,
                0.999997438716568,
                8.481108159169844e-05,
                4.785094494463623e-06,
                1.1478765388523107e-05,
                5.144223204149862e-05,
                3.535626756251187e-05,
                4.785094494672519e-06
            ],
            [
                0.9999962733607168,
                0.9999885212318764,
                0.9999989322967481,
                0.9999996940977366,
                0.9999992661791071,
                0.9999991684718732,
                0.9999885212332431,
                0.9999957771645419,
                0.9999994956523514,
                0.9999989322975118
            ],
            [
                0.9999989322967481,
                0.9999977396754328,
                0.9999938558232009,
                0.9999910603047643,
                0.9999945777784451,
                0.999995214904935,
                0.9999995549150011,
                0.9999989322967482,
                0.9999992661789321,
                0.9999984465016899
            ],
            [
                8.93969417214416e-06,
                6.962258739169842e-06,
                3.535625488822007e-05,
                1.0129988561648438e-05,
                4.22283344433731e-06,
                4.785094494463623e-06,
                1.1478770854488583e-05,
                2.7535691063295662e-05,
                1.0129992185299915e-05,
                4.785096775842062e-06
            ],
            [
                0.9999952149043647,
                0.9999982396559474,
                0.9999810748450078,
                0.9999785550567221,
                0.9999785550439195,
                0.9999974387168734,
                0.9999987901347492,
                0.9999898700078128,
                0.9999967112497585,
                0.9999810748427433
            ],
            [
                2.2603242978213447e-06,
                1.0129988564430787e-05,
                1.0129988563730593e-05,
                7.889260704050487e-06,
                1.6701421842961097e-05,
                5.42222090882208e-06,
                6.144172404028807e-06,
                8.315280276456036e-07,
                4.785096776433933e-06,
                3.7266388396128453e-06
            ],
            [
                0.9999921107374145,
                0.9999952149043646,
                0.9999785550490299,
                0.9999687980737504,
                0.9999967112501507,
                0.9999756997563729,
                0.9999986290432834,
                0.9999974387184002,
                0.9999938558261307,
                0.9999977396762411
            ],
            [
                0.9999996072137062,
                1.3709572068272963e-06,
                1.3007126911643378e-05,
                2.1444940742640888e-05,
                0.9999967112513267,
                2.7535687805818776e-05,
                6.605212102892523e-05,
                NaN,
                3.2887486733420804e-06,
                2.753569109454917e-05
            ],
            [
                1.892514146086307e-05,
                3.726641060773727e-06,
                1.0129987357020188e-05,
                4.785095065171522e-06,
                0.003593602696469868,
                8.939698435226916e-06,
                9.422442569097361e-07,
                6.14417313680765e-06,
                6.962259568230874e-06,
                5.4222183231674305e-06
            ],
            [
                2.1444948411552198e-05,
                NaN,
                7.889263525103816e-06,
                3.288749849477628e-06,
                1.670142781560441e-05,
                7.889264465067689e-06,
                1.0129988564430787e-05,
                3.2887486731641103e-06,
                1.30071253611406e-05,
                1.1478772227964558e-05
            ],
            [
                6.144175334015912e-06,
                1.209865827740176e-06,
                1.7603434231385591e-06,
                6.962254589528684e-06,
                6.962259569630266e-06,
                5.422218323349895e-06,
                1.1478773598329648e-05,
                0.9999930377462427,
                4.785093353874907e-06,
                5.829129329168791e-05
            ],
            [
                7.889259764273619e-06,
                1.994729483666479e-06,
                1.99473067264854e-06,
                1.0129987355988324e-05,
                2.260323489490968e-06,
                1.1478768124553928e-05,
                1.0129990979215566e-05,
                3.726639728348526e-06,
                3.7266388397721442e-06,
                1.3007134665934505e-05
            ],
            [
                3.2887482810801374e-06,
                2.4300252315495453e-05,
                1.0129995809929273e-05,
                3.466327037539638e-07,
                1.2098661161927025e-06,
                4.450849458218309e-07,
                4.222834954461155e-06,
                2.4300243621371074e-05,
                1.1478769493540482e-05,
                6.962257079705671e-06
            ],
            [
                2.1444953525877587e-05,
                1.4738988997768797e-05,
                3.7266383955611403e-06,
                8.939695238333382e-06,
                5.422217676979575e-06,
                5.422219615829396e-06,
                1.0677026154473471e-06,
                1.4738978456398127e-05,
                1.8925141472773765e-05,
                2.1444945856964448e-05
            ],
            [
                1.8925155006118952e-05,
                1.14787708624228e-05,
                8.315282258900085e-07,
                3.7266401725681614e-06,
                4.785094494576774e-06,
                3.7266379513434106e-06,
                2.260323758713745e-06,
                1.3007126912826352e-05,
                7.889264465986113e-06,
                1.8925148236123232e-05
            ],
            [
                2.7535684524701807e-05,
                2.561281905376098e-06,
                1.0677024881941248e-06,
                3.120192624960245e-05,
                7.889265406904397e-06,
                6.144176066443055e-06,
                4.785094494672519e-06,
                1.1478773597390071e-05,
                5.42222090882208e-06,
                1.012999460251781e-05
            ],
            [
                0.9999994956525318,
                6.962254589851619e-06,
                0.9996200155621453,
                1.5534973841450852e-06,
                0.9999885212305076,
                6.962255419728997e-06,
                6.9622579086271995e-06,
                1.6701419848475466e-05,
                1.4738985484871391e-05,
                1.6701419852819694e-05
            ],
            [
                2.9023109470871505e-06,
                2.260323758939877e-06,
                6.962254589528684e-06,
                1.1478765389065974e-05,
                4.222833444506298e-06,
                9.422445938964242e-07,
                2.9023133690637e-06,
                1.6701419853518415e-05,
                1.3007130014873483e-05,
                1.3007123809289414e-05
            ],
            [
                0.999954602120621,
                0.9995694429708565,
                0.999981074858544,
                0.9999038975851507,
                0.999964643736737,
                0.43782349911420193,
                0.9999687980849237,
                0.9999945777790926,
                0.9999962733607176,
                0.8933094081846421
            ],
            [
                0.9999987901347491,
                0.9999980052709919,
                0.9999991684715758,
                0.9999993524052018,
                0.9999980052700408,
                0.9999945777829693,
                0.9999986290429566,
                0.9999992661786696,
                0.9999990577556308,
                0.9999992661789321
            ],
            [
                1.3007134666431358e-05,
                4.785096776194573e-06,
                1.3709567165530083e-06,
                2.2603251062013478e-06,
                1.2098659719716573e-06,
                4.785096776394765e-06,
                2.144495608105136e-05,
                1.0129989772274546e-05,
                1.7603440526662173e-06,
                1.0677032518700286e-06
            ],
            [
                8.315278294072958e-07,
                1.3007128460797749e-05,
                1.9947297215043796e-06,
                4.785094494628999e-06,
                5.4222215552470286e-06,
                7.88926634755014e-06,
                1.3007131565140219e-05,
                1.4738985484871391e-05,
                7.889261645355786e-06,
                1.3709575336947905e-06
            ],
            [
                1.3709573702111586e-06,
                5.422217030288788e-06,
                1.1478772229300848e-05,
                6.962256249429175e-06,
                4.7850950648799385e-06,
                4.785093353626844e-06,
                8.939699501229642e-06,
                1.8925141471913163e-05,
                7.889265405505236e-06,
                5.829126550803852e-05
            ],
            [
                0.9999910603058296,
                0.9999974387165679,
                0.9999980052693274,
                0.9999970976887068,
                0.9999990577549568,
                0.9999994956524716,
                0.9999996533673375,
                0.9999977396748938,
                0.9999982396574162,
                0.9999980052709919
            ],
            [
                2.561281905390075e-06,
                1.670142582682936e-05,
                3.726640616748873e-06,
                1.0129988563730593e-05,
                3.726639284017094e-06,
                6.1441767989541075e-06,
                1.6701427815999337e-05,
                7.889262585541864e-06,
                2.2603242978377903e-06,
                2.902313368963394e-06
            ],
            [
                1.1478772230929451e-05,
                1.147876675341695e-05,
                7.484621829540844e-05,
                4.785096776303374e-06,
                2.144494073796001e-05,
                9.610242635548565e-05,
                3.120191136774608e-05,
                4.222834451292594e-06,
                7.889261642794245e-06,
                2.4300246520590875e-05
            ],
            [
                0.999972464312256,
                0.9999982396572064,
                0.9999992661786695,
                0.9999992661791944,
                0.9999987901346049,
                0.9999993524054334,
                0.9999996940978825,
                0.9999994956527121,
                0.9999990577550693,
                0.999999168471675
            ],
            [
                0.9999994284996891,
                0.9999977396757022,
                0.9999992661788445,
                0.9999997617630333,
                0.9999992661788445,
                0.9999998362623528,
                0.9999945777803851,
                0.9999991684720715,
                0.9999986290421394,
                0.9999997617630049
            ],
            [
                1.1478769492893215e-05,
                1.0129992185299915e-05,
                6.475950297942253e-07,
                1.4738985485997396e-05,
                1.0129994601872894e-05,
                2.753570422573402e-05,
                8.939700566435704e-06,
                7.889266347004826e-06,
                5.422218323349895e-06,
                4.222832437677995e-06
            ],
            [
                3.535626334490732e-05,
                4.785096775920397e-06,
                2.4300237832303074e-05,
                1.1478770861211786e-05,
                1.4738985485461206e-05,
                3.2887478890769702e-06,
                8.93969310662177e-06,
                3.535623806861614e-05,
                1.0129989771823107e-05,
                5.422218323290717e-06
            ],
            [
                0.9999952149072173,
                4.222832941142044e-06,
                1.4738988998787566e-05,
                1.0129990977520359e-05,
                5.422217030663578e-06,
                2.902312677060767e-06,
                6.962253759752719e-06,
                8.939696304002375e-06,
                1.2098655392871682e-06,
                1.147877359926923e-05
            ],
            [
                NaN,
                0.9999980052698029,
                0.9999962733616045,
                0.9999986290421395,
                0.9999991684715759,
                0.9999980052695653,
                0.9999990577549568,
                0.9999921107336678,
                0.999997097687669,
                0.9999785550413652
            ],
            [
                0.9999990577554062,
                0.9999980052700407,
                0.9999994956527122,
                0.9999996533672962,
                0.9999996533672962,
                0.9999994284993486,
                0.9999989322975118,
                0.99999976176309,
                0.9999994956524114,
                0.9999997897566589
            ],
            [
                0.9999989322970027,
                0.9999994284993485,
                0.999999266179107,
                0.9999991684718732,
                0.9999974387175201,
                0.9999992661789321,
                0.9999984465016899,
                0.9999996072137529,
                0.9999996072137061,
                0.9999994956525318
            ],
            [
                NaN,
                1.3007123812317831e-05,
                1.0129995809929273e-05,
                3.7266406165319545e-06,
                1.9947294837154625e-06,
                3.1201918798457626e-05,
                4.2228334445658276e-06,
                0.9999995549150542,
                0.9999852610197902,
                0.9999993524050473
            ],
            [
                0.9999995549150011,
                0.9999952149066462,
                0.9999599363173852,
                0.9999599362887237,
                0.9999982396559474,
                0.9999957771665556,
                0.9999957771675625,
                0.9999974387171788,
                0.9999974387168733,
                0.9999974387187053
            ],
            [
                7.338208055369664e-07,
                5.422218323399208e-06,
                6.144173136952939e-06,
                2.2603245672867952e-06,
                1.0129988564099116e-05,
                3.9278638755671223e-07,
                1.6701423832586287e-05,
                1.994730434847717e-06,
                1.6701427809710842e-05,
                6.962257079629686e-06
            ],
            [
                2.2603251061664e-06,
                2.260324297853209e-06,
                1.3007128461507534e-05,
                1.473898021366358e-05,
                4.785096205434246e-06,
                1.670141587068447e-05,
                8.315284241597959e-07,
                4.7850927830845245e-06,
                6.962256249429175e-06,
                8.939698429568063e-06
            ],
            [
                6.144173869446876e-06,
                1.1478765388314311e-05,
                1.4738987240100149e-05,
                5.422221555069497e-06,
                1.0677033791495609e-06,
                7.889265406151004e-06,
                7.889260704818233e-06,
                0.00017952802901808213,
                0.9999546021476239,
                6.144177531459659e-06
            ],
            [
                1.7603434231385591e-06,
                7.88925976397226e-06,
                5.4222183231674305e-06,
                4.785094494185095e-06,
                1.0129995810076682e-05,
                1.1478765388523107e-05,
                2.753568124458694e-05,
                6.962258739454786e-06,
                2.4300246517938825e-05,
                1.3007133114318805e-05
            ],
            [
                2.2603234895053587e-06,
                7.889262585642319e-06,
                1.0129994602222992e-05,
                3.72664061671159e-06,
                1.994730434847717e-06,
                2.561283126679493e-06,
                1.994729721482609e-06,
                1.76034300345598e-06,
                1.994730197071414e-06,
                1.1478769493916314e-05
            ],
            [
                8.93969630362837e-06,
                2.144494840687132e-05,
                1.3007125356006484e-05,
                2.7535687805818776e-05,
                3.120190391251851e-05,
                4.785093924047376e-06,
                4.785096205882502e-06,
                7.889263525893087e-06,
                1.4738983722270186e-05,
                6.605216822432677e-05
            ],
            [
                1.760344052693435e-06,
                3.7266397282926013e-06,
                3.726641060773727e-06,
                2.90231233114251e-06,
                2.5612816000145246e-06,
                8.31528424162821e-07,
                3.72664017246987e-06,
                1.7603434231705793e-06,
                6.9622587393661365e-06,
                6.475947981975644e-07
            ],
            [
                1.7603438428564603e-06,
                1.0129990979215566e-05,
                1.0677027427525368e-06,
                4.785093353626844e-06,
                7.3382080556433e-07,
                3.1201907645920996e-05,
                1.4738987242137685e-05,
                4.222832437639588e-06,
                2.144495096785658e-05,
                2.2603242978778778e-06
            ],
            [
                5.4222215550004564e-06,
                1.147876675466972e-05,
                1.3007123812317831e-05,
                8.315280276546789e-07,
                5.422218969532895e-06,
                6.1441767987808774e-06,
                2.260324028372372e-06,
                6.605212891156267e-05,
                2.5612812946681295e-06,
                1.4738987239698005e-05
            ]
        ]
    },
    {
        "q_id": "10373_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.370957533676711e-06,
                1.7603425837062577e-06,
                5.422220261544064e-06,
                1.3709568799106278e-06,
                1.994729245842213e-06,
                1.76034363298589e-06,
                1.553498495281783e-06,
                1.9947306726358406e-06,
                7.889259763469998e-06,
                4.222834450950777e-06
            ],
            [
                1.8925152750176348e-05,
                1.4738987240475486e-05,
                1.3007128463873485e-05,
                2.1444958637356654e-05,
                1.8925157262578186e-05,
                1.4738978455325741e-05,
                3.7266410605974813e-06,
                1.0129988563546333e-05,
                2.7535684528909006e-05,
                8.939694172290508e-06
            ],
            [
                0.9999952149049353,
                0.9999898700126446,
                0.9999957771680658,
                0.9999984465026158,
                0.9999885212346123,
                0.9999898700078138,
                0.9999967112521109,
                0.999994577780384,
                0.999998446502801,
                0.999986992873089
            ],
            [
                0.9999982396569965,
                0.9999885212264018,
                0.9999546021476443,
                0.9999991684722698,
                0.9999974387171787,
                0.9999869928653355,
                0.9999910603004997,
                0.9999910602994346,
                0.999988521233244,
                0.9999962733620487
            ],
            [
                2.4300232031037035e-05,
                1.7603427935678977e-06,
                6.962253759752719e-06,
                7.338208930315157e-07,
                3.2887498491620677e-06,
                3.726637951126493e-06,
                6.475946437928669e-07,
                1.7603434231505666e-06,
                2.2603251061458426e-06,
                1.3709576971316842e-06
            ],
            [
                1.994730434816876e-06,
                6.475951069961737e-07,
                9.422444815563743e-07,
                8.315281267706361e-07,
                5.715005832853093e-07,
                6.475947209918244e-07,
                7.338208930355202e-07,
                8.315282258956806e-07,
                2.90231163910023e-06,
                4.785096776394765e-06
            ],
            [
                2.1444945850567248e-05,
                8.315283250305684e-07,
                6.962259569313662e-06,
                2.5612828212909852e-06,
                2.902312330891746e-06,
                1.3709578605455302e-06,
                1.5534979397592542e-06,
                6.962257908753841e-06,
                2.1444945853375776e-05,
                2.9023109468548636e-06
            ],
            [
                5.71500719531729e-07,
                4.7850933538313875e-06,
                1.9947292458930106e-06,
                8.31528424151477e-07,
                8.315277302819205e-07,
                3.7266406167827664e-06,
                2.902313023063532e-06,
                7.338213304143191e-07,
                1.5534981249574276e-06,
                1.9947299592824403e-06
            ],
            [
                0.9999982396567867,
                0.9999910603005,
                0.9999977396757023,
                0.9999869928746377,
                0.999999266179107,
                0.9999992661792819,
                0.9999990577556308,
                0.9999967112513267,
                0.9999994956523514,
                0.9999970976880149
            ],
            [
                8.315281267706361e-07,
                4.785095065045315e-06,
                7.33820893021171e-07,
                4.222832437639588e-06,
                6.962258739169842e-06,
                1.1478769493540482e-05,
                1.7603430034151537e-06,
                4.785093353787868e-06,
                2.260324297853209e-06,
                3.7266388396975786e-06
            ],
            [
                4.785092783210732e-06,
                7.889259762666377e-06,
                6.9622562492265485e-06,
                3.2887478891487563e-06,
                1.1478765386038447e-05,
                6.1441753337365085e-06,
                3.120190020862863e-05,
                4.006370171895837e-05,
                2.4300246519706854e-05,
                3.535625070920327e-05
            ],
            [
                2.260325375650449e-06,
                1.9947304348332037e-06,
                1.760343842833246e-06,
                1.1478765388105516e-05,
                3.5356254919217684e-05,
                8.939693106987645e-06,
                3.726640616423495e-06,
                1.1478764020372226e-05,
                1.9947301970287804e-06,
                1.892514372737249e-05
            ],
            [
                3.120192252686752e-05,
                1.0129994602222992e-05,
                3.2887490653872164e-06,
                1.4738988997044936e-05,
                2.5612819053399912e-06,
                4.785095064523075e-06,
                6.1441746016670885e-06,
                2.144494329566774e-05,
                2.144494073569759e-05,
                6.605212878421408e-05
            ],
            [
                0.9999646437408893,
                0.9999994956526519,
                0.9999938558268638,
                0.9999987901344607,
                0.9999980052698031,
                0.9999921107374146,
                0.9999785550541473,
                0.999999266178932,
                0.9999967112497585,
                0.9999994284994849
            ],
            [
                0.9999810748562732,
                0.999891103038858,
                0.9999251537549613,
                0.9999251537727649,
                0.9998601779762216,
                0.9999599362887123,
                0.9998766053958636,
                0.9998204719698691,
                0.9999339478553524,
                0.9998415637266933
            ],
            [
                2.5612822106654943e-06,
                1.8925152751174644e-05,
                1.012999459815081e-05,
                1.5534983100595462e-06,
                3.5356238065786484e-05,
                2.5612812946681295e-06,
                4.539785237316614e-05,
                4.006367783499403e-05,
                2.2603234894745224e-06,
                4.222833444229772e-06
            ],
            [
                4.785094494628999e-06,
                2.4300243626409964e-05,
                7.889261643554814e-06,
                3.726639728224814e-06,
                7.338212429420757e-07,
                1.5534971989568904e-06,
                2.2603248367358324e-06,
                8.939695236593446e-06,
                4.222832436871463e-06,
                4.785094494750855e-06
            ],
            [
                0.999998239656367,
                0.9999967112517189,
                0.9999885212332446,
                0.9999982396565769,
                0.9999898700041905,
                0.9999989322967481,
                0.9999974387177893,
                0.9999938558239335,
                0.999997438716568,
                0.9999885212277699
            ],
            [
                0.9999724643056263,
                0.9999417087206172,
                0.9999646437577374,
                0.9998601779426847,
                0.9997388096287858,
                0.9924227586410952,
                0.999903897608017,
                0.9999921107345937,
                0.9988304897311369,
                0.9999952149066462
            ],
            [
                1.209866116170145e-06,
                1.99472972129484e-06,
                1.4738983727256784e-05,
                3.120191879561992e-05,
                6.144173137014406e-06,
                3.726641060956752e-06,
                1.670142980608093e-05,
                2.4300232038197563e-05,
                1.994729483630195e-06,
                9.42244256886598e-07
            ],
            [
                0.005911068998530637,
                1.6701423833436905e-05,
                1.0129990979031306e-05,
                0.9993736657557956,
                2.9023112930949896e-06,
                1.6701415871049018e-05,
                2.7535697662094155e-05,
                4.785093353739995e-06,
                1.3007131564903626e-05,
                1.892515500450102e-05
            ],
            [
                9.422450431860582e-07,
                1.5534981249397663e-06,
                1.0677024881887838e-06,
                5.043474081500771e-07,
                2.2603242977555607e-06,
                9.422448185264317e-07,
                1.3709576971160984e-06,
                1.370957697068717e-06,
                8.3152792848466e-07,
                2.5612812947240366e-06
            ],
            [
                1.3007130013856124e-05,
                5.04347528438253e-07,
                5.422220908634683e-06,
                1.5534983101301911e-06,
                4.78509506499309e-06,
                4.2228319341064674e-06,
                1.1478765388105516e-05,
                1.370957860466977e-06,
                2.5612831265630198e-06,
                1.2098655392811161e-06
            ],
            [
                1.3007125362323574e-05,
                3.1201926246083686e-05,
                1.3709567164962755e-06,
                1.670141587141357e-05,
                2.9023130229209922e-06,
                3.288750241410738e-06,
                2.7535681248693975e-05,
                6.144176797864436e-06,
                4.785094494402695e-06,
                1.99472900796355e-06
            ],
            [
                0.9999930377404309,
                0.9999898700041923,
                0.9999646437450873,
                0.9999962733611603,
                0.9999952149037942,
                0.9999921107374147,
                0.9999945777784449,
                0.9999898700053991,
                0.9999974387184,
                0.9999930377445811
            ],
            [
                2.5612825160096693e-06,
                1.7603440527046419e-06,
                2.5612819053586272e-06,
                7.338210679909462e-07,
                7.338213304316717e-07,
                1.553498495308628e-06,
                3.726641061058432e-06,
                1.7603432133032607e-06,
                1.2098655392662613e-06,
                1.3709576971316842e-06
            ],
            [
                1.2098655392811161e-06,
                1.3709576970949014e-06,
                4.5397857795336036e-05,
                0.999978555054146,
                6.962253759581752e-06,
                4.5397884843438604e-05,
                1.4738983724575818e-05,
                1.5534971989696065e-06,
                7.889262585541864e-06,
                0.9994472214569782
            ],
            [
                2.56128282131428e-06,
                1.9947292458930106e-06,
                2.561281905293402e-06,
                1.5534979397140412e-06,
                8.315282258956806e-07,
                2.4300246523066122e-05,
                1.7603425837366772e-06,
                1.1478765388711023e-05,
                3.7266410609940346e-06,
                1.760344052693435e-06
            ],
            [
                0.9999898700090206,
                0.9999852610232999,
                0.9999852610110012,
                0.9999962733589395,
                0.9999546021097657,
                0.9999977396759716,
                0.9999992661789321,
                0.9999986290431201,
                0.9999938558275955,
                0.9999832985781584
            ],
            [
                1.0129987356706945e-05,
                5.422218969532895e-06,
                2.9023112931213857e-06,
                1.7603438428460541e-06,
                8.939699500327152e-06,
                6.475945666033422e-07,
                3.120191880867338e-05,
                1.1478766756653273e-05,
                7.889262585211807e-06,
                1.994729245878497e-06
            ],
            [
                0.9999990577550693,
                0.9999984465024306,
                0.9999910603026312,
                0.9999987901338838,
                0.9999982396574163,
                0.9999993524054335,
                0.9999910602994345,
                0.9999810748562732,
                0.9999898700078147,
                0.9999810748495068
            ],
            [
                1.3007128463069061e-05,
                1.0129993394129904e-05,
                2.144495863614743e-05,
                3.28875024125221e-06,
                1.670142383495587e-05,
                2.2603242977555607e-06,
                1.2098652508144226e-06,
                1.9947304348332037e-06,
                2.561283431986506e-06,
                4.222834451169694e-06
            ],
            [
                1.3709572068179446e-06,
                1.994729245917502e-06,
                2.9023123310580418e-06,
                1.1478764015361142e-05,
                1.994729008056074e-06,
                2.902312677104321e-06,
                1.9947301970587145e-06,
                1.9947294835630703e-06,
                1.5534979397592542e-06,
                3.2887482812506295e-06
            ],
            [
                1.1478773598329648e-05,
                2.902311293147782e-06,
                7.88926446470893e-06,
                1.55349775456958e-06,
                2.902312677007974e-06,
                1.9947301970106386e-06,
                1.994730434555632e-06,
                3.1201907650801864e-05,
                7.889265405505236e-06,
                8.315283250260307e-07
            ],
            [
                0.999999266178932,
                0.9999984465024306,
                0.9999996072137998,
                0.9999898700078131,
                0.999997438716568,
                0.9999921107392955,
                0.9999984465020603,
                0.999992110736474,
                0.9999952149032239,
                0.999992110740236
            ],
            [
                0.9999984465026158,
                0.9999984465020603,
                0.9999994956524114,
                0.9999994956523514,
                0.9999885212346126,
                0.9999993524049703,
                0.9999984465020603,
                0.999998005269803,
                0.9999977396757022,
                0.999998446502801
            ],
            [
                1.7603434231097403e-06,
                3.72664017246987e-06,
                1.0129995809929273e-05,
                2.1444958635523312e-05,
                6.475946437928669e-07,
                1.0129992186939844e-05,
                2.1444948412137308e-05,
                7.8892625849535e-06,
                3.2887502412970765e-06,
                1.473897670007122e-05
            ],
            [
                1.0677027427340866e-06,
                1.0129990979547237e-05,
                4.006368260595596e-05,
                9.4224425692559e-07,
                1.2098661161861e-06,
                1.892515049571424e-05,
                2.9023123310290063e-06,
                1.5534971989696065e-06,
                5.422220908703723e-06,
                4.785092783210732e-06
            ],
            [
                5.422218323093458e-06,
                2.9023109471689794e-06,
                3.120191137012976e-05,
                3.288748281220719e-06,
                1.3709567165386693e-06,
                1.994729483666479e-06,
                4.22283394786293e-06,
                1.892514823013346e-05,
                1.0129989771823107e-05,
                1.8925157262061825e-05
            ],
            [
                0.9999852610215436,
                0.9999921107383551,
                0.9999930377462404,
                0.9999898700041906,
                0.9999970976890529,
                0.9999952149055057,
                0.9999938558268635,
                0.9999869928684344,
                0.9999898700053986,
                0.9999869928730883
            ],
            [
                0.999995214903224,
                0.9999962733616046,
                0.9999339478239136,
                0.999925153772803,
                0.9999930377462402,
                0.9999952149055052,
                0.9999251537638563,
                0.999989870006605,
                0.9999810748517612,
                0.9999885212359801
            ],
            [
                1.9947297214544894e-06,
                1.2098655392811161e-06,
                1.0129988563343644e-05,
                1.55349775456958e-06,
                7.338208930421943e-07,
                2.5612834320214477e-06,
                1.3007134666431358e-05,
                3.92786340734912e-07,
                1.3709570433885908e-06,
                2.9023112931213857e-06
            ],
            [
                1.1478764019996392e-05,
                5.422220262505697e-06,
                3.288750241473551e-06,
                1.2098662604192665e-06,
                4.785093924156175e-06,
                4.5397874044343825e-05,
                1.4738978456719842e-05,
                6.475946437996402e-07,
                2.260324836696773e-06,
                3.2887498493983645e-06
            ],
            [
                4.450852111100568e-07,
                1.2098655392662613e-06,
                1.5534984953199313e-06,
                1.0677031245851707e-06,
                1.3709573702566696e-06,
                7.338208930315157e-07,
                8.315279285205827e-07,
                1.5534973841895917e-06,
                1.9947297214944016e-06,
                2.3823685319076597e-07
            ],
            [
                7.889260703462123e-06,
                3.2887506334201674e-06,
                2.4300246524568948e-05,
                1.0129994601301684e-05,
                5.422218969128516e-06,
                1.473898196763166e-05,
                1.012999580884213e-05,
                1.6701429807630274e-05,
                2.2603251060738913e-06,
                1.4738983727578497e-05
            ],
            [
                3.2887490653647836e-06,
                5.71500515151976e-07,
                5.715005832798517e-07,
                3.288749457409966e-06,
                5.422219616140078e-06,
                4.4508526417014975e-07,
                4.222834451292594e-06,
                1.2098652508144226e-06,
                1.5534971989809095e-06,
                9.422442569208767e-07
            ],
            [
                1.1478773598914277e-05,
                2.5612812947077304e-06,
                2.4300232033865884e-05,
                6.144173137014406e-06,
                3.288748281220719e-06,
                3.288750241500471e-06,
                0.999933947831719,
                2.7535681248693975e-05,
                1.553498495295912e-06,
                2.1444950966608343e-05
            ],
            [
                6.475945666033422e-07,
                2.902312677104321e-06,
                2.5612825160096693e-06,
                1.2098661161602417e-06,
                2.260324567268294e-06,
                3.2887494570181325e-06,
                1.9947299592933255e-06,
                1.9947299592824403e-06,
                2.260324836776948e-06,
                6.475947981975644e-07
            ],
            [
                6.475946437928669e-07,
                4.450852641681257e-07,
                1.3709568799592562e-06,
                8.31527928532683e-07,
                3.7266383955882547e-06,
                1.5534971989809095e-06,
                1.2098659719716573e-06,
                5.71500651413193e-07,
                1.7603440527046419e-06,
                2.3823702358900394e-07
            ],
            [
                7.338208929998139e-07,
                6.47594798194325e-07,
                7.338213304316717e-07,
                1.2098653949842147e-06,
                2.2603242978778778e-06,
                7.338213304143191e-07,
                1.0129994601688632e-05,
                3.927862939113312e-07,
                1.7603432132912532e-06,
                5.422217028582506e-06
            ],
            [
                0.9999869928684358,
                0.9999546021476212,
                0.9999921107364749,
                0.9999646437324645,
                0.9999938558261308,
                0.9999885212264021,
                0.9999599363030484,
                0.9999687980737552,
                0.9999646437535286,
                0.9999038975966479
            ],
            [
                5.71500378896509e-07,
                6.47594566594213e-07,
                3.726641061027928e-06,
                7.338208930355202e-07,
                1.3709572067955008e-06,
                4.785094494628999e-06,
                9.422450431732037e-07,
                4.450849458153541e-07,
                8.315282258900085e-07,
                5.04347648686092e-07
            ],
            [
                9.422449308566668e-07,
                2.2603237588597026e-06,
                1.0129990977759901e-05,
                4.22283394762097e-06,
                1.8925150491445666e-05,
                1.7603440526806268e-06,
                5.715003107738556e-07,
                1.760343842833246e-06,
                4.450849458179853e-07,
                1.7603432131855856e-06
            ],
            [
                6.9622570780973205e-06,
                5.14422381473764e-05,
                4.539785237316614e-05,
                1.300712846217e-05,
                7.889261643727018e-06,
                8.939698433584547e-06,
                0.0002611904014835737,
                0.00010889687013554121,
                3.288750241410738e-06,
                1.0129987355988324e-05
            ],
            [
                4.785093923690512e-06,
                3.2887486732000038e-06,
                4.2228344501365644e-06,
                1.9947306725215466e-06,
                4.539786321436876e-05,
                6.962257909501028e-06,
                1.994729245822257e-06,
                4.222833947498071e-06,
                1.1478766754064213e-05,
                2.753569437145972e-05
            ],
            [
                0.9999984465020603,
                0.999999495652712,
                0.9999785550568389,
                0.9999938558232014,
                0.9999952149043657,
                0.9999984465024306,
                0.9999967112517187,
                0.9999995549151073,
                0.9999921107336526,
                0.9999724643023379
            ],
            [
                0.9999885212305106,
                0.9999785550464746,
                0.9998766054252095,
                0.9999898700078153,
                0.9999756997650677,
                0.9999599363221524,
                0.9999930377454106,
                0.9999869928668851,
                0.9996200154261381,
                0.9999957771645426
            ],
            [
                0.994779875532429,
                0.9980732655856152,
                0.9796676455442832,
                0.9998911030778981,
                0.9998601779762439,
                0.999512142881617,
                0.9959298614667766,
                0.9890130591808804,
                0.5621765008857982,
                0.9324533135530545
            ],
            [
                0.9999984465018751,
                0.999991060299434,
                0.9999869928653355,
                0.999992110740236,
                0.9999977396757023,
                0.9999756997592719,
                0.9999982396569966,
                0.99999893229713,
                0.999999554914895,
                0.9999852610180293
            ],
            [
                8.939697369151141e-06,
                2.9023109468548636e-06,
                3.288749849209925e-06,
                8.315278294001114e-07,
                2.561283431916622e-06,
                1.0129990979215566e-05,
                6.1441775312976045e-06,
                1.5534981249496567e-06,
                0.9999546021097193,
                3.120190019784534e-05
            ],
            [
                9.42244256915735e-07,
                5.715005151446993e-07,
                1.1478764019077695e-05,
                2.5612815999423112e-06,
                1.3709578605455302e-06,
                1.4738978457336465e-05,
                2.902310947190096e-06,
                7.338213304083124e-07,
                5.043473480678099e-07,
                4.785096205582214e-06
            ],
            [
                4.785092783371756e-06,
                2.9023109471188266e-06,
                7.889263526180094e-06,
                2.902312330965655e-06,
                4.785096206013061e-06,
                1.670142781560441e-05,
                2.561281294616881e-06,
                4.7850933538313875e-06,
                1.3709570432888404e-06,
                5.043475885657239e-07
            ],
            [
                1.473898197063434e-05,
                6.14417313533799e-06,
                0.9995694429613496,
                3.5356242266024216e-05,
                0.9989677690463152,
                1.8925145981283003e-05,
                0.9999339478317142,
                6.144172403928222e-06,
                3.2887494573232236e-06,
                1.5534981248330927e-06
            ],
            [
                7.889260704732132e-06,
                3.1201922517673344e-05,
                1.1478770861211786e-05,
                0.9999687980923515,
                1.8925155003330605e-05,
                1.0129994602222992e-05,
                7.889265406904397e-06,
                1.0129990978441666e-05,
                6.962253759752719e-06,
                3.726637951126493e-06
            ],
            [
                2.5612812946681295e-06,
                1.5534979397500702e-06,
                1.4738988998787566e-05,
                1.0677026154619133e-06,
                1.994729483694599e-06,
                4.7850939242083995e-06,
                1.7603434230921292e-06,
                2.902312677007974e-06,
                1.7603434231097403e-06,
                1.5534973841592143e-06
            ],
            [
                0.9999980052709919,
                0.999992110739296,
                0.9999898700102295,
                0.9999952149037946,
                0.9999945777810313,
                0.9999938558261307,
                0.9999974387187053,
                0.9999957771680659,
                0.9999952149072172,
                0.9999869928699864
            ],
            [
                0.9999151889183269,
                0.9999869928746365,
                0.9999977396751633,
                0.9999982396574163,
                0.9999810748540182,
                0.999978555056703,
                0.9999938558246659,
                0.999994577778445,
                0.9999930377420908,
                0.9999967112497586
            ],
            [
                0.9999980052700408,
                0.9999994956527121,
                0.9999962733598283,
                0.9999785550567114,
                0.9999885212359807,
                0.9999986290423029,
                0.999996273358939,
                0.9999992661786696,
                0.9999930377420906,
                0.9999251537461697
            ],
            [
                8.93969630317306e-06,
                6.962253759486771e-06,
                8.93969310675186e-06,
                0.999373665824912,
                1.7603427935678977e-06,
                1.7603440525925705e-06,
                1.2098662603631479e-06,
                2.902313022802209e-06,
                8.315280276505193e-07,
                1.4738983725406915e-05
            ],
            [
                1.2098656834922064e-06,
                6.14417606659952e-06,
                7.889261644760245e-06,
                1.9947301970287804e-06,
                3.726639728184142e-06,
                4.222833947820683e-06,
                2.9023130230846496e-06,
                6.144172404218801e-06,
                5.422217030362759e-06,
                6.14417753171671e-06
            ],
            [
                0.9999038975737626,
                0.9998415637651024,
                0.9984988174549919,
                0.9997965729793851,
                0.9999724643187523,
                0.9999930377454121,
                0.9999038975736347,
                0.9999930377420916,
                0.9997965729549589,
                0.9999485577802343
            ],
            [
                7.889260704631679e-06,
                1.994729008056074e-06,
                1.9947301970451086e-06,
                3.5356242271040426e-05,
                7.889266347004826e-06,
                5.42221961567159e-06,
                2.7535700926183532e-05,
                0.9995694428597932,
                1.147876949310201e-05,
                0.9989677691628774
            ],
            [
                6.96225541916544e-06,
                2.9023130230846496e-06,
                2.2603242978007868e-06,
                1.994729245842213e-06,
                2.561281599914358e-06,
                3.288750633488963e-06,
                1.7603434231505666e-06,
                2.14449458497871e-05,
                1.0677032518700286e-06,
                4.2228324375512536e-06
            ],
            [
                5.144221362768171e-05,
                2.9023133690637e-06,
                8.939693106182721e-06,
                6.9622595694023114e-06,
                8.939700566565793e-06,
                1.9947306726049992e-06,
                7.889262585642319e-06,
                2.561283126535066e-06,
                7.48462271136436e-05,
                8.939699500766203e-06
            ],
            [
                1.670141985166528e-05,
                6.1441746017453204e-06,
                1.0677032518413822e-06,
                1.0129987355988324e-05,
                3.9278638755992735e-07,
                1.0129989771473008e-05,
                7.889266347248781e-06,
                2.561282515914161e-06,
                1.8925141471913163e-05,
                1.7603432130222817e-06
            ],
            [
                9.422449308420983e-07,
                7.889260704531226e-06,
                1.3709568798956654e-06,
                5.715003107715166e-07,
                2.5612822106654943e-06,
                6.475947981904966e-07,
                2.902312677104321e-06,
                2.260325375634003e-06,
                8.315278294001114e-07,
                2.1444943300075563e-05
            ],
            [
                0.9999938558275955,
                0.999997097688707,
                0.9999980052693274,
                0.9999962733620488,
                0.9999938558253983,
                0.9999930377439173,
                0.9999962733611601,
                0.9999885212305079,
                0.9999986290429569,
                0.9999989322966208
            ],
            [
                0.9999038975964738,
                0.9999485578047457,
                0.9999546021259631,
                0.9999339478553524,
                0.9997965730265855,
                0.9999646437450735,
                0.9998911030777935,
                0.9993736658994573,
                0.9999417087205802,
                0.9999832985841293
            ],
            [
                1.6701419849447602e-05,
                2.430023203740195e-05,
                7.889259764079887e-06,
                1.3709567165461505e-06,
                4.222833947820683e-06,
                2.9023112931213857e-06,
                7.889263525103816e-06,
                3.726638395320497e-06,
                1.0129987356706945e-05,
                1.892515049423401e-05
            ],
            [
                0.999995777167059,
                0.9999921107336541,
                0.9999967112505427,
                0.9999945777790913,
                0.9999986290431201,
                0.9999967112497585,
                0.9999980052709919,
                0.9999885212264024,
                0.9999967112509348,
                0.9999967112513267
            ],
            [
                6.144173136243255e-06,
                1.994729721469003e-06,
                1.9947290080343035e-06,
                7.88926164518358e-06,
                2.7535691095550887e-05,
                4.7850933535659155e-06,
                1.8925157261545463e-05,
                1.670141985245514e-05,
                7.889262585642319e-06,
                0.9999251537727964
            ],
            [
                1.7603430034439723e-06,
                2.7535697658087296e-05,
                1.760344052714248e-06,
                9.422444815563743e-07,
                1.8925157264471508e-05,
                1.6701421842566163e-05,
                3.726639728224814e-06,
                7.88925976397226e-06,
                2.561281599881745e-06,
                1.1478770861211786e-05
            ],
            [
                0.9999984465018751,
                0.9999990577555185,
                0.9999910602994343,
                0.999998005269803,
                0.9999970976873229,
                0.9999921107364743,
                0.999981074842739,
                0.9999810748562741,
                0.9999945777816771,
                0.9999785550515963
            ],
            [
                0.9999687980923515,
                0.9999921107355341,
                0.9999785550567043,
                0.9999756997563743,
                0.9999646437324375,
                0.9999417087067083,
                0.9998766053811754,
                0.9999977396754327,
                0.9999869928715381,
                0.9999852610110012
            ],
            [
                1.300712846411008e-05,
                1.3709568799592562e-06,
                5.715003788933905e-07,
                2.9023112931213857e-06,
                9.422444815563743e-07,
                2.260325375615501e-06,
                2.2603242978213447e-06,
                9.422448185435711e-07,
                1.7603440527046419e-06,
                4.450852111100568e-07
            ],
            [
                2.561283432005142e-06,
                2.1444948407573453e-05,
                1.2098659719601033e-06,
                3.72664061681327e-06,
                8.315284241597959e-07,
                7.889260704423598e-06,
                1.5534971989809095e-06,
                6.144173869312763e-06,
                6.144172404520556e-06,
                1.3007134665934505e-05
            ],
            [
                2.260324028351814e-06,
                1.5534979397500702e-06,
                1.2098653950403334e-06,
                4.785094494576774e-06,
                7.338210679979539e-07,
                6.475947209985977e-07,
                2.2603251062270446e-06,
                2.561283432005142e-06,
                1.0677031245851707e-06,
                4.222831934286977e-06
            ],
            [
                1.9947297214544894e-06,
                0.999933947871074,
                4.222835457906302e-06,
                2.4300240711101413e-05,
                4.006369217003476e-05,
                1.473898197154587e-05,
                3.2887506334560605e-06,
                8.939695238211425e-06,
                7.889259763857458e-06,
                1.2098655392662613e-06
            ],
            [
                7.338208930421943e-07,
                1.9947297214944016e-06,
                9.422447062202052e-07,
                9.422447061953531e-07,
                5.715006514105942e-07,
                1.2098653950480359e-06,
                6.475950297942253e-07,
                5.715005832827105e-07,
                4.450852641681257e-07,
                8.315282258956806e-07
            ],
            [
                3.2887478892055875e-06,
                4.222833444429485e-06,
                1.8925148239772175e-05,
                6.962257079465052e-06,
                1.9947297214544894e-06,
                5.043472879504592e-07,
                1.2098655392574583e-06,
                1.7603430033991435e-06,
                6.14417313680765e-06,
                5.715005832798517e-07
            ],
            [
                8.315281267513512e-07,
                5.422218323399208e-06,
                1.2098653950315304e-06,
                1.3007130012341915e-05,
                2.1444945856964448e-05,
                1.670142383495587e-05,
                1.1478770862255766e-05,
                1.1478764019077695e-05,
                3.288750241473551e-06,
                7.889264466639056e-06
            ],
            [
                2.4300234937239182e-05,
                1.670141586907437e-05,
                8.939695237666677e-06,
                8.939695237666677e-06,
                1.6701427813417103e-05,
                8.939695237341456e-06,
                1.9947299591826594e-06,
                1.1478766755233466e-05,
                5.1442207372098016e-05,
                2.9023109469842055e-06
            ],
            [
                6.962256249682458e-06,
                1.1478766756444477e-05,
                6.1441760667392215e-06,
                3.288750241204353e-06,
                2.144494074201677e-05,
                6.962257909121104e-06,
                6.962254588585202e-06,
                6.1441775312976045e-06,
                2.4300246517938825e-05,
                2.4300240727367308e-05
            ],
            [
                9.422443692446175e-07,
                1.3709567165461505e-06,
                2.144494585197151e-05,
                8.939699501229642e-06,
                1.8925148237775583e-05,
                1.0677033791437343e-06,
                1.0129990979215566e-05,
                5.144221974590828e-05,
                2.144495096457996e-05,
                6.1441746018123775e-06
            ],
            [
                0.9999930377429205,
                0.9999986290429566,
                0.9999996072137998,
                0.9999898700090215,
                0.9999974387171788,
                0.9999977396765106,
                0.9999989322967482,
                0.9999996533672136,
                0.9999982396561572,
                0.999997438717484
            ],
            [
                0.9999852610180298,
                0.9999952149072167,
                0.9999974387180947,
                0.99999893229713,
                0.9999910603005006,
                0.999997097687323,
                0.999999266178932,
                0.9999885212318756,
                0.9999957771645421,
                0.9999995549150011
            ],
            [
                3.288747889229516e-06,
                1.300712536258383e-05,
                2.9023123310580418e-06,
                4.222832941072913e-06,
                2.7535684530912436e-05,
                1.553497754577351e-06,
                4.78509563555309e-06,
                2.260324028351814e-06,
                2.9023109471452223e-06,
                2.260324028404236e-06
            ],
            [
                0.9999885212359795,
                0.9999938558246657,
                0.999992110737415,
                0.9999756997505873,
                0.9999930377437505,
                0.9999885212359829,
                0.9999910603004999,
                0.9999869928668857,
                0.9999687980811924,
                0.9999885212264011
            ],
            [
                1.147877222879974e-05,
                1.8925150490826034e-05,
                1.994729483694599e-06,
                3.288747889038086e-06,
                2.753568124769226e-05,
                1.5534981249291695e-06,
                4.222832437386106e-06,
                5.144223202577919e-05,
                1.1478766757049986e-05,
                1.370957533676711e-06
            ],
            [
                4.78509506499309e-06,
                3.1201926246083686e-05,
                3.288749849368453e-06,
                4.006369693910372e-05,
                2.1444958635523312e-05,
                4.2228334445370225e-06,
                1.760343213227212e-06,
                6.475951069961737e-07,
                8.3152792852928e-07,
                3.288749457383046e-06
            ],
            [
                0.9999485577863476,
                0.9999785550464778,
                0.9999646437535097,
                0.9995121427653029,
                0.9999599362935055,
                0.9999938558261307,
                0.9999151889788562,
                0.999447221257694,
                0.9999038975850787,
                0.9998204719697386
            ],
            [
                0.9999921107383564,
                0.9953904283120448,
                0.9999977396751633,
                0.9999984465015047,
                0.9999785550515979,
                0.9999952149037953,
                0.9999930377462403,
                0.9999852610110037,
                0.9999957771670589,
                0.9999910602994339
            ],
            [
                3.288749457432399e-06,
                9.422445938964242e-07,
                2.561281905390075e-06,
                1.370957370247318e-06,
                8.939700566435704e-06,
                2.260323489490968e-06,
                2.902312677007974e-06,
                4.222831934286977e-06,
                4.450851580497677e-07,
                5.04347348070562e-07
            ],
            [
                0.9999962733593832,
                0.9999957771660521,
                0.9999724642957795,
                0.9999984465015047,
                0.9999984465024306,
                0.9999984465018751,
                0.9999251537549744,
                0.9999910603036969,
                0.9999962733620489,
                0.9999339478396766
            ],
            [
                0.9999938558268633,
                0.9999832985801479,
                0.999996273358939,
                0.9999785550490375,
                0.9999898700102287,
                0.9999930377462407,
                0.999992110740236,
                0.9999832985701956,
                0.9999785550567043,
                0.9999687980737538
            ],
            [
                8.315284241597959e-07,
                3.288748673295719e-06,
                8.31527730252048e-07,
                1.0677027427525368e-06,
                1.5534979397592542e-06,
                9.4224425692559e-07,
                2.2603248367656408e-06,
                1.5534981249496567e-06,
                1.7603430034655858e-06,
                4.222832437677995e-06
            ],
            [
                2.5612812945889277e-06,
                3.726639283806955e-06,
                7.889266347004826e-06,
                5.422220261544064e-06,
                8.939699500327152e-06,
                6.962257909121104e-06,
                1.4738985483128763e-05,
                1.0129994601301684e-05,
                2.9023130228444433e-06,
                7.889260704179641e-06
            ],
            [
                6.1441746017453204e-06,
                1.147876949310201e-05,
                1.2098655392811161e-06,
                1.0129993394811673e-05,
                1.0129995809763438e-05,
                6.475946437966953e-07,
                2.2603242977555607e-06,
                3.2887502415243994e-06,
                1.3709576971242028e-06,
                1.7603434231505666e-06
            ],
            [
                0.9999962733616046,
                0.9999910603005013,
                0.9999967112493677,
                0.9999910603068946,
                0.9999967112505499,
                0.9999980052702786,
                0.9999869928715361,
                0.999996711251719,
                0.9999974387180947,
                0.9999898700114359
            ],
            [
                0.9999990577555185,
                0.9999989322972572,
                0.9999997300421581,
                0.9999992661788446,
                0.9999974387187054,
                0.9999930377404308,
                0.9999852610233012,
                0.9999974387171788,
                0.999997097686631,
                0.9999990577552937
            ],
            [
                4.222832941111319e-06,
                8.939693106873817e-06,
                3.2887482812506295e-06,
                1.4738983726908257e-05,
                2.561282210460501e-06,
                8.939697369151141e-06,
                3.7266410608720178e-06,
                1.012998977088337e-05,
                4.2228319341064674e-06,
                1.2098653950480359e-06
            ],
            [
                0.9999984465020603,
                0.9999952149072169,
                0.9999977396751634,
                0.9999921107336536,
                0.9999967112521111,
                0.9999930377437508,
                0.9999945777790913,
                0.9999852610197885,
                0.9999990577555185,
                0.9999869928746383
            ],
            [
                0.999995777164542,
                0.9999970976869769,
                0.9999967112509347,
                0.9999938558253983,
                0.9999869928668845,
                0.9999962733593832,
                0.9999869928699856,
                0.999978555056717,
                0.9999945777810304,
                0.9999832985801492
            ],
            [
                0.9999339478632105,
                1.3709576970824327e-06,
                2.9023119851266288e-06,
                1.0129995809929273e-05,
                2.260324028281919e-06,
                4.222833444467892e-06,
                1.3709576971316842e-06,
                1.4738976699106073e-05,
                7.88926634644516e-06,
                5.715005151550947e-07
            ],
            [
                0.999999352404893,
                0.9999938558261318,
                0.9999957771670592,
                0.9999970976873229,
                0.999998239656577,
                0.9999987901341724,
                0.9999984465020603,
                0.9999994956524114,
                0.9999990577551815,
                0.9999967112517191
            ],
            [
                1.9947290080343035e-06,
                1.0677028699955933e-06,
                3.120191137126484e-05,
                5.422219615188307e-06,
                1.2098656834922064e-06,
                2.902311293147782e-06,
                3.72664061671159e-06,
                1.5534971989258068e-06,
                2.260325375634003e-06,
                6.1441746018123775e-06
            ],
            [
                7.338210679909462e-07,
                7.3382080556433e-07,
                7.338207180601138e-07,
                1.5534983101393749e-06,
                2.2603248366762157e-06,
                5.422220262505697e-06,
                2.2603237589542675e-06,
                4.7850967763512445e-06,
                2.2603251061849014e-06,
                1.2098652508144226e-06
            ],
            [
                7.889265406681968e-06,
                3.2887498492936755e-06,
                2.5612825159677387e-06,
                8.939699500489763e-06,
                2.7535691096552598e-05,
                2.2603245672025095e-06,
                1.370957206783032e-06,
                1.1478768124553928e-05,
                4.539789026561238e-05,
                7.889263525534328e-06
            ],
            [
                3.2887482811579057e-06,
                2.5612831265909735e-06,
                2.260323489490968e-06,
                5.144219525429276e-05,
                6.962256249429175e-06,
                4.222832437497486e-06,
                1.5534975692866768e-06,
                1.3709570433979422e-06,
                4.22283394762097e-06,
                1.3007126913346863e-05
            ],
            [
                0.9999251537817111,
                0.9999885212277696,
                0.9982992775207695,
                0.999959936288716,
                0.9999251537727355,
                0.9999251537816921,
                0.9999962733611601,
                0.9999599363173656,
                0.9999852610180284,
                0.9999910603036961
            ],
            [
                0.9999982396572065,
                0.9999994956523514,
                0.9999945777803847,
                0.9999989322966208,
                0.9999994956524716,
                0.9999967112521109,
                0.9999984465022455,
                0.9999992661788445,
                0.9999996072138934,
                0.999995777168066
            ],
            [
                0.9999952149060761,
                0.999995214906076,
                0.9999885212264044,
                0.999995777165549,
                0.9999885212264015,
                0.9999945777829697,
                0.999997097686977,
                0.9999921107392962,
                0.9999982396565769,
                0.9999952149055057
            ],
            [
                0.9999921107383558,
                0.9999930377462403,
                0.9999982396567867,
                0.9999974387168734,
                0.9999980052700408,
                0.9999982396569965,
                0.9999990577550693,
                0.999991060303697,
                0.9999974387187053,
                0.9999990577554061
            ],
            [
                0.999876605366419,
                0.9999687980960733,
                0.9998601778760521,
                0.9996646498114128,
                0.9999756997563752,
                0.9998601779595598,
                0.9994472213942698,
                0.9999646437408665,
                0.9984988175743487,
                0.9968273173342398
            ],
            [
                3.726639284050988e-06,
                1.5534981248881956e-06,
                4.785096205778054e-06,
                6.144173869240119e-06,
                1.147876402018431e-05,
                5.715007195431641e-07,
                3.1201926241089315e-05,
                2.2603240283888175e-06,
                6.962256249606473e-06,
                1.3709575336530204e-06
            ],
            [
                0.9999724642957772,
                0.9999832985821392,
                0.9999945777829696,
                0.9999756997592719,
                0.999997438717484,
                0.9999987901344607,
                0.999997097686631,
                0.9999417087205764,
                0.9999952149060757,
                0.9999962733602717
            ],
            [
                0.9999995549147358,
                0.999998005269803,
                0.9999990577549569,
                0.9999970976883609,
                0.9999962733589389,
                0.9999810748585392,
                0.9999962733589393,
                0.9999970976876689,
                0.9999785550592636,
                0.9999974387184
            ]
        ]
    },
    {
        "q_id": "10616_mmlu_computer science",
        "cot_ids": [
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            23,
            25,
            27,
            28,
            29,
            30,
            31,
            32,
            34,
            35,
            37,
            39,
            40,
            41,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            91,
            93,
            95,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9465966726483188,
                0.9999898700078336,
                0.9999724643091202,
                0.9999724642958924,
                0.9999687980814269,
                0.9046505370289059,
                0.89330940889474,
                0.9999974387181331,
                0.9999485577877076,
                0.9324533018213449
            ],
            [
                0.9999990577556308,
                0.9999982396559483,
                0.9999994284994167,
                0.999995214904365,
                0.9999987901337396,
                0.9999989322968759,
                0.9999994956523514,
                0.9999996940977366,
                0.99999916847227,
                0.9999986290421395
            ],
            [
                0.99999844650169,
                0.9999997300422225,
                0.9999995549151073,
                0.9999990577552939,
                0.9999994284994167,
                0.9999986290427932,
                0.9999996072137061,
                0.9999995549150542,
                0.9999995549150011,
                0.9999997897565838
            ],
            [
                0.9999987901341723,
                0.9999992661788446,
                0.9999987901341724,
                0.9999994284995529,
                0.9999992661788445,
                0.9999994284993486,
                0.9999970976880151,
                0.9999984465028015,
                0.9999996533673376,
                0.9999987901343166
            ],
            [
                0.9999977396746249,
                0.9999974387174841,
                0.9999921107383728,
                0.9999984465022455,
                0.9999930377412624,
                0.9999992661786696,
                0.9999980052698032,
                0.9999991684719723,
                0.9999992661786696,
                0.9999982396569969
            ],
            [
                0.9999990577554062,
                0.9999991684717742,
                0.9999994284996891,
                0.9999993524051246,
                0.9999987901341724,
                0.9999991684718733,
                0.9999989322973846,
                0.9999996072138465,
                0.9999993524049702,
                0.999999554914895
            ],
            [
                0.9999984465020603,
                0.9999989322967482,
                0.9999994284992805,
                0.9999995549151072,
                0.9999993524048931,
                0.9999987901346051,
                0.9999989322968754,
                0.999999168471675,
                0.9999990577551815,
                0.9999991684722698
            ],
            [
                0.9999989322968754,
                0.999999495652652,
                0.9999987901346049,
                0.9999995549151073,
                0.9999990577551815,
                0.9999993524053562,
                0.9999990577554062,
                0.9999986290432835,
                0.9999990577549569,
                0.9999989322973845
            ],
            [
                0.9999984465015047,
                0.9999993524051246,
                0.999998790134605,
                0.9999986290429567,
                0.9999990577557432,
                0.9999989322975119,
                0.9999993524052019,
                0.9999991684715759,
                0.9999996940977001,
                0.9999994956527721
            ],
            [
                0.9999898700060524,
                0.9999977396751633,
                0.9999930377429286,
                0.9999724642960743,
                0.9999869928654035,
                0.9998911031263026,
                0.9999339478399001,
                0.99999627336072,
                0.9999852610116187,
                0.9999898700053986
            ],
            [
                0.9999992661791944,
                0.9999993524054335,
                0.9999989322972573,
                0.9999990577552939,
                0.9999990577556308,
                0.999999428499553,
                0.9999982396574163,
                0.9999993524050474,
                0.9999994956527121,
                0.9999991684722698
            ],
            [
                0.9999996072138466,
                0.9999992661786696,
                0.999997097686977,
                0.9999995549147358,
                0.999998790134028,
                0.9999993524052019,
                0.999999168471675,
                0.9999989322975119,
                0.9999962733598278,
                0.9999989322972572
            ],
            [
                1.6701419848475466e-05,
                1.5534975692259223e-06,
                8.93969417199781e-06,
                7.88926164421493e-06,
                3.288749065077638e-06,
                6.14417753110761e-06,
                7.8892654060075e-06,
                1.8925145978942173e-05,
                6.962259567407701e-06,
                1.147876949187012e-05
            ],
            [
                0.9999994956526519,
                0.9999977396757024,
                0.9999984465024306,
                0.999999266179107,
                0.9999994956527121,
                0.9999994956524114,
                0.9999987901337396,
                0.9999990577555185,
                0.9999984465028011,
                0.9999984465024307
            ],
            [
                0.9999994956523514,
                0.999999266179107,
                0.9999996072137061,
                0.9999993524054334,
                0.9999991684721706,
                0.9999989322970028,
                0.9999995549150542,
                0.9999991684721706,
                0.9999997617631469,
                0.9999991684720715
            ],
            [
                0.9999994956527721,
                0.9999992661789321,
                0.9999996533673375,
                0.9999992661787571,
                0.9999994284996891,
                0.9999992661791947,
                0.9999996072139402,
                0.9999996072136125,
                0.999999266178757,
                0.9999984465024306
            ],
            [
                0.6513548646660543,
                0.9999546021504759,
                0.9999898700054808,
                0.6791786926816161,
                0.14804719239327382,
                0.9999910603015763,
                0.7549149923816048,
                0.999991060305046,
                0.999991060304766,
                0.9999852610181336
            ],
            [
                0.9999984465024306,
                0.9999990577550691,
                0.9999989322973846,
                0.9999990577557432,
                0.9999989322966208,
                0.9999992661786695,
                0.9999996533672962,
                0.9999992661791071,
                0.9999991684720715,
                0.999999653367379
            ],
            [
                0.999998790134028,
                0.9999984465020604,
                0.9999995549150542,
                0.9999993524054335,
                0.9999987901341724,
                0.9999987901347491,
                0.9999987901347491,
                0.9999984465026159,
                0.9999982396563671,
                0.9999992661790195
            ],
            [
                0.9999991684719723,
                0.9999995549151072,
                0.9999996072138934,
                0.9999994956523514,
                0.999999554914895,
                0.999999554914895,
                0.9999994956527121,
                0.9999996072137061,
                0.9999989322970028,
                0.9999996072138465
            ],
            [
                0.9999994284994168,
                0.9999994956523514,
                0.9999993524051246,
                0.999999266178757,
                0.9999992661790195,
                0.9999994284994168,
                0.9999994284992805,
                0.9999992661792819,
                0.9999992661786696,
                0.9999994284996211
            ],
            [
                0.9999994956525919,
                0.9999990577551815,
                0.9999984465022456,
                0.9999984465024307,
                0.999999352404893,
                0.9999996533674202,
                0.9999991684721706,
                0.9999995549147889,
                0.9999995549150542,
                0.9999987901340281
            ],
            [
                3.288749849209925e-06,
                2.260325375520937e-06,
                7.88925976316864e-06,
                1.4738983727256784e-05,
                1.4738983703074469e-05,
                6.962254588116627e-06,
                2.561283431916622e-06,
                4.539786858616951e-05,
                3.12019113570763e-05,
                3.120192251631124e-05
            ],
            [
                0.9999995549150011,
                0.9999994284993486,
                0.9999970976890531,
                0.9999994284997574,
                0.9999991684715758,
                0.9999990577556308,
                0.9999996072139402,
                0.9999994956527722,
                0.9999994956524114,
                0.9999994956527121
            ],
            [
                0.9999957771660534,
                0.999993037745414,
                0.9999962733611638,
                0.9999967112517223,
                0.9999930377445863,
                0.9999980052695663,
                0.999988521226415,
                0.9999970976887081,
                0.9999930377404331,
                0.9999930377462434
            ],
            [
                0.9999986290426298,
                0.9999974387177893,
                0.9999993524050474,
                0.9999995549147358,
                0.9999990577551815,
                0.9999994284994167,
                0.999999495652652,
                0.9999993524050474,
                0.9999977396759717,
                0.9999992661786695
            ],
            [
                0.9999995549147889,
                0.9999994956524114,
                0.9999991684721706,
                0.9999994956525918,
                0.9999991684721706,
                0.9999993524051246,
                0.999999266178932,
                0.9999989322967482,
                0.9999990577555187,
                0.9999994956524114
            ],
            [
                0.0001398220568780067,
                4.006368258642613e-05,
                0.00017952796543137923,
                0.00010889690908378526,
                3.535625487510076e-05,
                2.1444943281001e-05,
                0.00013982209029700466,
                2.144494073569759e-05,
                0.00026119036992220556,
                6.605215246769354e-05
            ],
            [
                0.9999997897567091,
                0.999999352405279,
                0.9999996072136125,
                0.9999989322975118,
                0.9999992661788446,
                0.9999997300422225,
                0.9999996940977731,
                0.9999996072136125,
                0.9999994284996893,
                0.9999989322966212
            ],
            [
                1.3007131551441357e-05,
                3.5356242204929376e-05,
                1.8925150491445666e-05,
                0.00010889693480950339,
                6.962254589433702e-06,
                2.7535691075316245e-05,
                2.1444953508090254e-05,
                7.88926070293116e-06,
                3.2887478886821466e-06,
                6.1441731363550164e-06
            ],
            [
                0.9999980052700408,
                0.9999998362623528,
                0.9999990577550691,
                0.9999987901340281,
                0.9999994284994848,
                0.9999993524054335,
                0.9999992661788446,
                0.9999990577556309,
                0.9999992661788445,
                0.9999987901343168
            ],
            [
                0.9999994284996891,
                0.9999987901340281,
                0.9999990577554062,
                0.9999974387184002,
                0.999999554914895,
                0.9999987901344608,
                0.9999980052695653,
                0.9999990577554062,
                0.999999266179107,
                0.9999986290427931
            ],
            [
                0.9999997300422547,
                0.9999984465015047,
                0.9999994956525919,
                0.9999994956527722,
                0.9999993524054335,
                0.9999982396574163,
                0.9999991684722697,
                0.9999997300421583,
                0.9999986290421394,
                0.999999168471675
            ],
            [
                0.9999982396561572,
                0.9999986290421394,
                0.9999989322972573,
                0.9999991684719723,
                0.9999990577554062,
                0.9999989322972574,
                0.9999974387180948,
                0.9999980052693278,
                0.9999987901340281,
                0.9999987901344608
            ],
            [
                0.9999995549147358,
                0.9999989322973847,
                0.9999980052695653,
                0.99999893229713,
                0.9999994284994167,
                0.9999996072137529,
                0.9999990577556308,
                0.9999996533675028,
                0.999999730042126,
                0.9999992661791071
            ],
            [
                0.9999995549151073,
                0.9999994284996891,
                0.999999554914895,
                0.9999994956527722,
                0.9999994284996211,
                0.999999554914842,
                0.9999994284994849,
                0.9999977396762413,
                0.9999990577557432,
                0.9999992661792819
            ],
            [
                0.9999993524051246,
                0.9999994284994848,
                0.9999994956525317,
                0.9999987901343166,
                0.9999994284992805,
                0.9999989322967482,
                0.9999993524053562,
                0.999999168471675,
                0.9999995549147358,
                0.9999996072136592
            ],
            [
                0.9999991684722703,
                0.9999967112501532,
                0.9999990577549571,
                0.9999984465028022,
                0.9999832985741892,
                0.9999970976887087,
                0.9999986290432853,
                0.9999990577552941,
                0.9999921107355395,
                0.9999967112505435
            ],
            [
                0.9999993524049702,
                0.9999994284997573,
                0.9999986290432835,
                0.9999993524050474,
                0.99999862904312,
                0.999999266178932,
                0.9999989322967481,
                0.999999352405279,
                0.9999982396561572,
                0.9999993524053562
            ],
            [
                0.9999993524051246,
                0.9999993524054334,
                0.9999994284992804,
                0.9999990577556308,
                0.9999990577551815,
                0.999999554914895,
                0.999999168471576,
                0.9999991684720715,
                0.9999991684720715,
                0.9999993524053562
            ],
            [
                0.999999554914895,
                0.9999992661786699,
                0.9999992661786696,
                0.9999989322975118,
                0.9999992661790196,
                0.999999266179107,
                0.9999987901347493,
                0.9999986290427931,
                0.9999996940977366,
                0.9999990577554062
            ],
            [
                0.9999984465026159,
                0.999997097689053,
                0.9999993524053563,
                0.999999428499553,
                0.9999977396754328,
                0.9999993524052789,
                0.9999990577552937,
                0.9999982396569966,
                0.9999992661790195,
                0.9999994284995529
            ],
            [
                0.9999987901338838,
                0.9999987901341725,
                0.9999987901346049,
                0.9999986290421394,
                0.999999168471675,
                0.9999995549147358,
                0.9999989322973845,
                0.9999989322971301,
                0.9999991684719725,
                0.9999996533674614
            ],
            [
                0.9999992661788445,
                0.9999996533674201,
                0.9999986290432834,
                0.9999993524049703,
                0.9999994956525318,
                0.9999991684717743,
                0.9999991684721706,
                0.9999996072138934,
                0.9999986290421395,
                0.999999554914789
            ],
            [
                1.4738980211116665e-05,
                1.5534984952662413e-06,
                1.4738985483128763e-05,
                2.753569765708558e-05,
                2.5612815998491325e-06,
                2.9023133689317184e-06,
                6.962254589104433e-06,
                1.7603434231097403e-06,
                4.222831933296096e-06,
                1.147876538789672e-05
            ],
            [
                4.539785238142359e-05,
                1.4738988989779516e-05,
                1.3007133110320344e-05,
                7.889261643181705e-06,
                1.300712536203966e-05,
                1.892514146884943e-05,
                4.539786320396437e-05,
                2.561283430253382e-06,
                6.962257078553231e-06,
                2.7535700941409604e-05
            ],
            [
                0.9999990577555185,
                0.9999992661792819,
                0.9999991684718732,
                0.9999996533675028,
                0.9999993524051246,
                0.9999989322973846,
                0.9999986290421394,
                0.9999987901341723,
                0.9999993524050473,
                0.9999994284992805
            ],
            [
                0.9999339478712158,
                0.9999921107336575,
                6.144172403067661e-06,
                8.481108166450792e-05,
                5.8291279378656556e-05,
                0.00013982207361090023,
                0.9999810748495205,
                8.481103095395362e-05,
                4.539785237052376e-05,
                1.4738976695459959e-05
            ],
            [
                0.9999974387184002,
                0.9999994284994849,
                0.9999984465016899,
                0.9999996940977731,
                0.999997438716874,
                0.999999266179107,
                0.9999991684717742,
                0.9999994284996893,
                0.9999970976866316,
                0.9999986290426297
            ],
            [
                0.9999980052695654,
                0.9999991684719723,
                0.9999989322967482,
                0.9999987901343166,
                0.9999989322966208,
                0.9999977396754328,
                0.9999986290421394,
                0.9999982396567867,
                0.9999982396574163,
                0.9999991684721706
            ],
            [
                0.9999990577557432,
                0.9999989322972573,
                0.9999977396748939,
                0.9999990577550693,
                0.9999990577549569,
                0.9999993524050474,
                0.9999970976890532,
                0.9999974387177896,
                0.9999994284994167,
                0.9999993524054334
            ],
            [
                0.9999995549150011,
                0.9999987901337396,
                0.9999957771680661,
                0.9999987901347492,
                0.9999991684717744,
                0.9999990577551815,
                0.999998790134605,
                0.9999992661788446,
                0.9999994284996211,
                0.999999352404893
            ],
            [
                3.5356246473207964e-05,
                1.1478765388105516e-05,
                7.889262585082652e-06,
                6.962253757295868e-06,
                2.7535697662094155e-05,
                2.1444945849006956e-05,
                6.1441753337365085e-06,
                7.484621824966732e-05,
                1.0129995807939249e-05,
                5.422221554847581e-06
            ],
            [
                0.9999970976890535,
                0.9999980052707543,
                0.9999989322968755,
                0.9999967112493668,
                0.9999994284996891,
                0.999999168471576,
                0.9999984465024306,
                0.999999352404893,
                0.9999957771660521,
                0.9999980052702786
            ],
            [
                0.9999996072137529,
                0.9999991684715758,
                0.9999992661791071,
                0.9999995549151073,
                0.9999989322975119,
                0.9999977396754333,
                0.9999982396561572,
                0.9999989322970028,
                0.999999352404893,
                0.9999994284994168
            ],
            [
                0.999933947855895,
                0.9999885212277849,
                0.9999952149072315,
                0.9999832985702533,
                0.9999930377438202,
                0.9999952149072175,
                0.9999952149049401,
                0.9999952149072209,
                0.9999885212359879,
                0.9999852610145418
            ],
            [
                0.00013982207315519585,
                0.0002034268968483475,
                5.8291244557923705e-05,
                0.999903897563847,
                0.0004305571789481005,
                6.605216028161452e-05,
                0.9999151889285257,
                2.7535681197606525e-05,
                0.00015843617127455172,
                0.000295957161303778
            ],
            [
                0.999995777166556,
                0.9999997897566589,
                0.9999990577556308,
                0.9999991684721706,
                0.9999993524054335,
                0.9999993524053563,
                0.9999990577556308,
                0.9999990577557432,
                0.9999994284995529,
                0.9999995549151073
            ],
            [
                0.9999970976876704,
                0.9999977396748962,
                0.9999930377412627,
                0.9999898700042051,
                0.999991060304771,
                0.9999952149066518,
                0.9999989322970056,
                0.9999980052700426,
                0.999995777164544,
                0.9999974387174889
            ],
            [
                0.9999885212305333,
                0.99989110310585,
                0.9999910603037392,
                0.9998911030921362,
                0.9999724643090261,
                0.9999938558276017,
                0.9999417087070837,
                0.9999974387187069,
                0.9999832985741994,
                0.9999938558261424
            ],
            [
                7.8892654060075e-06,
                7.88926258381982e-06,
                1.9947306725669014e-06,
                1.4738983724146862e-05,
                2.43002436174814e-05,
                9.422448184561605e-07,
                3.1201922514835635e-05,
                2.75357007651077e-05,
                1.209865250694483e-06,
                1.147876675686207e-05
            ],
            [
                0.9999967112493666,
                0.999999168471675,
                0.9999980052695652,
                0.9999987901338838,
                0.9999989322973845,
                0.9999974387187053,
                0.9999982396574163,
                0.9999974387168734,
                0.9999992661788446,
                0.9999990577556308
            ],
            [
                0.9999991684719723,
                0.9999992661790196,
                0.9999994284994167,
                0.9999990577555185,
                0.9999992661792819,
                0.9999984465018752,
                0.9999992661791944,
                0.9999995549150011,
                0.9999997300422548,
                0.999999428499553
            ],
            [
                0.9999962733593877,
                0.9999417087415061,
                0.9999485577685644,
                0.999959936303308,
                0.8670357477770336,
                0.9999417087138649,
                0.9999869928731948,
                0.9996200155192858,
                0.9999339478320756,
                0.9998601779430976
            ],
            [
                0.9999785550490934,
                0.9999910603037129,
                0.9999974387174883,
                0.9999910603005066,
                0.9999910603037018,
                0.9999921107383621,
                0.999991060304767,
                0.9999756997680398,
                0.999993037744594,
                0.9999980052693291
            ],
            [
                3.120190764966677e-05,
                3.5356267550807374e-05,
                0.00012339460377552646,
                8.939697368842181e-06,
                NaN,
                3.5356238044435446e-05,
                9.610242627088607e-05,
                0.00013982210704821174,
                5.829127238482131e-05,
                7.889262584006375e-06
            ],
            [
                3.5356267560968415e-05,
                NaN,
                0.9999687980812153,
                2.1444950963097686e-05,
                1.8925155003330605e-05,
                7.889263525778283e-06,
                NaN,
                3.120190392137216e-05,
                1.0129987351289655e-05,
                1.14787681240737e-05
            ],
            [
                0.9999974387177899,
                0.9999646437324796,
                0.9999957771650455,
                0.9999945777797465,
                0.9999962733593852,
                0.9999756997622029,
                0.9999898700066069,
                0.9999810748585384,
                0.9999832985721969,
                0.9999756997621809
            ],
            [
                0.9999996940976272,
                0.9999980052702785,
                0.9999977396759779,
                0.999999266179107,
                0.9999952149072182,
                0.9999990577552939,
                0.9999989322972573,
                0.9999992661786695,
                0.999997438717179,
                0.9999996072138934
            ],
            [
                0.9999993524052018,
                0.9999989322966208,
                0.9999996533672136,
                0.9999992661792819,
                0.9999984465020603,
                0.999999057755743,
                0.9999945777829695,
                0.9999957771660534,
                0.9999992661790195,
                0.99999862904312
            ],
            [
                0.999998932296621,
                0.9999982396574163,
                0.9999980052695654,
                0.9999970976876692,
                0.9999992661788445,
                0.9999977396759717,
                0.9999990577556308,
                0.9999990577557432,
                0.9999980052707543,
                0.9999989322975119
            ],
            [
                0.9999756997679812,
                0.9046505421702796,
                0.9999957771645436,
                0.99995993631745,
                0.9999869928684394,
                0.9999930377420932,
                0.9999546021317732,
                0.8933094025038598,
                0.9999967112509393,
                0.924141814233309
            ],
            [
                0.9999485578068966,
                0.9999687980887423,
                0.8354835411997897,
                0.9999921107383576,
                0.7549149978955811,
                0.9999898700114523,
                0.9999599363031271,
                0.9999151889287085,
                0.7549149978955811,
                0.9579122759893239
            ],
            [
                0.9999986290424664,
                0.9999987901344607,
                0.9999986290429566,
                0.9999992661791944,
                0.9999986290432835,
                0.9999982396572065,
                0.9999989322975118,
                0.9999994284995531,
                0.9999989322968754,
                0.9999980052695652
            ],
            [
                0.9999991684719725,
                0.999999814460876,
                0.9999992661787571,
                0.9999984465020607,
                0.9999991684718733,
                0.9999998144608981,
                0.9999991684719723,
                0.9999984465018751,
                0.9999982396561572,
                0.9999997300422547
            ],
            [
                0.9999987901341724,
                0.9999991684719723,
                0.9999994284996893,
                0.9999994284994849,
                0.999998932296621,
                0.9999992661790195,
                0.9999974387165682,
                0.9999994956524114,
                0.9999986290423029,
                0.9999990577549569
            ],
            [
                0.9999994956527721,
                0.999999168471675,
                0.999999168471675,
                0.999998446502801,
                0.9999993524050473,
                0.9999994284994167,
                0.9999990577549568,
                0.9999987901338838,
                0.9999989322972573,
                0.9999996072138935
            ],
            [
                0.999986992869995,
                0.9999724643155424,
                0.9999852610152917,
                0.9999852610198057,
                0.9999962733602851,
                0.9998911030524876,
                0.9324533051062237,
                0.9999724643031107,
                0.982013788886431,
                0.9999938558248119
            ],
            [
                0.9999869928716562,
                0.9999599363174325,
                0.99998987000661,
                0.9999869928746511,
                0.9999785550567278,
                0.9999869928732671,
                0.9999921107346076,
                0.8175744761936437,
                0.9999910603005021,
                0.9999869928653715
            ],
            [
                0.999891103098105,
                0.7772998663336158,
                0.7772998714925403,
                0.9669140247098943,
                0.9999832985728688,
                0.9999938558268723,
                0.9669140206578809,
                0.9999546021283024,
                0.7549149758396752,
                0.5621765008857981
            ],
            [
                0.8670357563664175,
                0.9999251537728716,
                0.9997040429178997,
                0.9998766054568177,
                0.9997965731119892,
                0.6791787056691698,
                0.3775406687981454,
                0.9997388096776516,
                0.6224593312018546,
                0.9999546021314167
            ],
            [
                0.9999995549150542,
                0.9999990577555185,
                0.9999994284994849,
                0.9999982396561572,
                0.9999994284996891,
                0.9999994956523514,
                0.9999995549150542,
                0.9999987901343167,
                0.9999991684715758,
                0.9999977396746248
            ],
            [
                0.9999832985722116,
                0.999983298578184,
                0.9999832985722178,
                0.9999832985763414,
                0.9999898700078299,
                0.5312093733737563,
                0.9999810748456573,
                0.9999785550440513,
                0.9999599362936198,
                0.9999852610199496
            ],
            [
                0.9999930377404453,
                0.9999910603005044,
                0.999998932296621,
                0.9999832985821566,
                0.9999952149061118,
                0.9999980052700415,
                0.9999885212305106,
                0.9999898700102386,
                0.999992110740242,
                0.9999869928653372
            ],
            [
                0.9999990577556308,
                0.9999982396574164,
                0.9999984465020603,
                0.9999986290421395,
                0.9999989322968755,
                0.9999992661790195,
                0.9999996072137998,
                0.9999993524049703,
                0.9999993524052018,
                0.9999990577554061
            ],
            [
                2.1444948403750736e-05,
                4.5397874023865346e-05,
                4.5397868553139715e-05,
                7.484623606311329e-05,
                7.48462002984577e-05,
                6.962258737472841e-06,
                2.430023203740195e-05,
                9.610239181859224e-05,
                6.962255418063657e-06,
                1.4738985478142165e-05
            ],
            [
                0.9999991684720716,
                0.9999993524054334,
                0.9999989322975118,
                0.999999168471675,
                0.9999984465016899,
                0.999999495652652,
                0.9999991684719723,
                0.9999990577556307,
                0.9999987901344607,
                0.9999986290427931
            ],
            [
                0.9999970976869775,
                0.9999986290423029,
                0.9999967112505435,
                0.9999987901341723,
                0.9999991684718733,
                0.9999967112497589,
                0.9999962733620495,
                0.9999984465018752,
                0.9999970976876701,
                0.9999993524049703
            ],
            [
                0.9999984465024306,
                0.9999980052695658,
                0.9999989322967482,
                0.9999987901340281,
                0.999999168471675,
                0.9999967112501509,
                0.9999990577557432,
                0.9999991684721709,
                0.9999986290426297,
                0.9999980052709921
            ],
            [
                0.999999266178757,
                0.9999990577550691,
                0.9999986290429567,
                0.9999984465026159,
                0.9999984465016901,
                0.9999992661786695,
                0.9999982396574163,
                0.9999996940977366,
                0.9999992661792819,
                0.9999987901337396
            ],
            [
                0.9999986290424665,
                0.999999352404893,
                0.9999998144608981,
                0.9999984465022457,
                0.999999789756634,
                0.9999980052705165,
                0.99999893229713,
                0.9999991684718733,
                0.9999984465016909,
                0.9999996072136125
            ],
            [
                0.9999997300422869,
                0.9999996072139402,
                0.9999994956524716,
                0.9999984465022456,
                0.9999982396569966,
                0.9999980052700437,
                0.9999993524054335,
                0.9999987901338839,
                0.9999995549151073,
                0.9999992661791944
            ],
            [
                0.9999957771660546,
                0.9999987901347492,
                0.999998239656577,
                0.9999982396563672,
                0.9999980052707542,
                0.9999987901337397,
                0.9999974387171787,
                0.9999992661792819,
                0.9999974387171792,
                0.9999982396569966
            ],
            [
                1.1478773596575768e-05,
                4.222833443968609e-06,
                2.1444950959977102e-05,
                6.1441753337365085e-06,
                7.484620049612466e-05,
                2.260324836651547e-06,
                1.9947301966568707e-06,
                6.962254588977791e-06,
                1.0129995808639442e-05,
                3.2887482797610674e-06
            ],
            [
                0.9999989322972572,
                0.9999974387168734,
                0.9999980052695654,
                0.9999990577549569,
                0.9999986290426297,
                0.9999991684717741,
                0.9999992661788446,
                0.9999991684718733,
                0.9999982396559474,
                0.99999893229713
            ],
            [
                0.9999991684720715,
                0.9999996940976272,
                0.9999989322970027,
                0.9999995549151073,
                0.9999993524053562,
                0.9999994956525317,
                0.9999995549149481,
                0.9999997617630616,
                0.9999990577552937,
                0.9999995549150013
            ],
            [
                0.9999992661792819,
                0.9999987901338838,
                0.9999993524054335,
                0.9999945777823236,
                0.9999980052700408,
                0.9999987901338838,
                0.9999977396762412,
                0.9999987901337396,
                0.9999990577551815,
                0.9999982396574163
            ],
            [
                5.422219615582823e-06,
                1.7603434230312906e-06,
                1.3007123811797321e-05,
                2.9023112928785396e-06,
                1.3007123808532309e-05,
                1.370957370126371e-06,
                5.422220261652556e-06,
                1.1478769491306371e-05,
                3.120191134288775e-05,
                1.4738985482753428e-05
            ],
            [
                0.999998790134605,
                0.999998005270992,
                0.9999989322968755,
                0.9999980052698031,
                0.9999982396569969,
                0.9999994956527722,
                0.9999980052709921,
                0.9999977396746246,
                0.9999984465024307,
                0.9999994284996891
            ],
            [
                0.9999992661792819,
                0.9999994956527721,
                0.9999996072137061,
                0.9999997300422547,
                0.9999994956525317,
                0.9999992661790196,
                0.9999990577556308,
                0.9999986290431204,
                0.9999991684721706,
                0.999998239656367
            ],
            [
                0.9999984465022456,
                0.9999982396559474,
                0.9999986290432836,
                0.9999991684719726,
                0.9999991684719725,
                0.9999995549149481,
                0.9999980052709919,
                0.9999984465020604,
                0.9999994956524115,
                0.9999986290429566
            ],
            [
                0.9999756997564915,
                0.9999945777803857,
                0.999983298578181,
                0.9999986290423508,
                0.9999885212332473,
                0.9999599362887714,
                0.9999977396746269,
                0.9999962733598421,
                0.9999974387174857,
                0.9999898700079181
            ],
            [
                0.9999995549151072,
                0.9999991684722698,
                0.9999990577555185,
                0.9999987901347492,
                0.9999986290431201,
                0.9999970976887069,
                0.9999987901338839,
                0.9999990577551815,
                0.9999994284993485,
                0.9999974387187054
            ],
            [
                0.9999994284993485,
                0.9999987901346051,
                0.999997097688707,
                0.9999991684719725,
                0.9999993524049703,
                0.9999994284994167,
                0.9999994956527722,
                0.999999352405279,
                0.9999977396765105,
                0.9999990577552939
            ],
            [
                0.9999992661788446,
                0.9999995549148419,
                0.9999996072137529,
                0.999999352405279,
                0.9999986290429566,
                0.9999996072136125,
                0.9999982396565769,
                0.9999994284994849,
                0.999997097687323,
                0.9999987901338838
            ],
            [
                0.9999996533673375,
                0.9999994956527121,
                0.9999996940976636,
                0.9999992661791945,
                0.9999994956523514,
                0.99999893229713,
                0.99999893229713,
                0.9999992661791071,
                0.9999994284996211,
                0.9999996072137998
            ],
            [
                0.9999991684720715,
                0.9999995549150011,
                0.9999986290424666,
                0.9999991684716749,
                0.9999996940977731,
                0.9999991684719723,
                0.9999992661792819,
                0.9999992661791945,
                0.9999994956524716,
                0.9999986290427931
            ],
            [
                0.9999994284994167,
                0.9999992661789321,
                0.9999994956525918,
                0.9999993524051246,
                0.9999991684715759,
                0.999998239657417,
                0.999998790134605,
                0.9999991684715759,
                0.9999977396765108,
                0.999999266178932
            ]
        ]
    },
    {
        "q_id": "10727_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            126,
            127,
            110,
            123,
            124,
            125
        ],
        "rewards": [
            [
                0.9999980052695652,
                0.999996711249367,
                0.9999986290432834,
                0.9999938558246663,
                0.9999930377445811,
                0.999996273360272,
                0.9999921107374153,
                0.9999945777810305,
                0.9999974387187053,
                0.9999982396572065
            ],
            [
                0.9999957771650453,
                0.9999930377437511,
                0.9999910603005011,
                0.999998239656577,
                0.9999921107355337,
                0.9999885212359813,
                0.9999974387165681,
                0.9999967112521108,
                0.999993855823934,
                0.9999885212318754
            ],
            [
                0.9999885212332438,
                0.9999869928746389,
                0.9999832985801475,
                0.9999832985841305,
                0.9999898700041905,
                0.999981074844995,
                0.9999724642957772,
                0.9999852610110019,
                0.9999910603036963,
                0.999972464315473
            ],
            [
                0.9999977396748939,
                0.9999977396746245,
                0.9999962733611605,
                0.9999980052709919,
                0.9999967112521111,
                0.9999930377412609,
                0.9999974387168734,
                0.9999977396746245,
                0.9999980052709919,
                0.9999982396572065
            ],
            [
                0.9999724643023379,
                0.9999832985701935,
                0.9999599363173852,
                0.9999756997505774,
                0.9999251537371739,
                0.999941708748388,
                0.9999599362982653,
                0.9999910603068942,
                0.9999756997534777,
                0.9999921107336528
            ],
            [
                0.9999910603058275,
                0.9999921107336528,
                0.9999952149072167,
                0.9999898700102285,
                0.999992110738355,
                0.9999945777829695,
                0.9999898700078134,
                0.9999910603015648,
                0.9999945777816768,
                0.9999687980811962
            ],
            [
                0.9999852610233002,
                0.999959936298279,
                0.9999921107336531,
                0.9999687980997979,
                0.9999599363221651,
                0.9999417087414566,
                0.9999599363030484,
                0.999978555051593,
                0.9998601779262121,
                0.9999485577618298
            ],
            [
                0.9999869928746383,
                0.9999546021476109,
                0.9999869928746369,
                0.9999852610180293,
                0.9999599362887179,
                0.9999417087206256,
                0.9999938558261308,
                0.9997388095978781,
                0.9999546021205493,
                0.9999945777829695
            ],
            [
                0.9999898700114376,
                0.999983298582147,
                0.9999599362934974,
                0.9999810748562736,
                0.9999151889587016,
                0.999985261016273,
                0.9999785550490333,
                0.999997097686977,
                0.9999485578047577,
                0.9999724643056319
            ],
            [
                0.9999885212359807,
                0.9999921107392955,
                0.9999957771680656,
                0.9999910603026315,
                0.9999982396572065,
                0.9999930377454103,
                0.9999921107374145,
                0.9999599363125974,
                0.9999921107345933,
                0.9999957771660521
            ],
            [
                3.2887478892055875e-06,
                4.785096205973894e-06,
                1.3709576971425944e-06,
                9.422442569290178e-07,
                1.9947299592824403e-06,
                3.2887482812745586e-06,
                1.3709576971425944e-06,
                6.962254589851619e-06,
                4.7850939242083995e-06,
                5.043474082005342e-07
            ],
            [
                0.9999957771655488,
                0.9999852610145168,
                0.9999546021097396,
                0.9999921107355341,
                0.9999957771680658,
                0.9999957771670592,
                0.9999910603015654,
                0.9999962733620488,
                0.9999952149032239,
                0.9999832985821404
            ],
            [
                0.9999599363078182,
                0.9999417087066808,
                0.9999832985781578,
                0.999796573026544,
                0.9999417087066731,
                0.9999546021421944,
                0.9999724643121848,
                0.9999852610197855,
                0.9999724643088999,
                0.9996200154238166
            ],
            [
                0.9999938558239332,
                0.9999599363030545,
                0.9999930377412606,
                0.9999546021422155,
                0.9999810748449944,
                0.9999724642990565,
                0.9999724643056241,
                0.9999810748540182,
                0.9999646437408605,
                0.9999724643089064
            ],
            [
                0.9999546021367831,
                0.9999869928746383,
                0.9999832985781578,
                0.9999724643023379,
                0.999975699767961,
                0.9999339478553626,
                0.9999898700053982,
                0.9999852610233015,
                0.9999869928668851,
                0.9999921107364742
            ],
            [
                0.999995214906076,
                0.9999952149043648,
                0.9999938558253983,
                0.9999852610215454,
                0.999995214903224,
                0.9999646437492984,
                0.9999957771665556,
                0.9999810748585306,
                0.9999957771665557,
                0.999991060302631
            ],
            [
                0.9999869928684356,
                0.9999485577618361,
                0.9999546021151535,
                0.9999756997592727,
                0.9999852610110022,
                0.9999974387187053,
                0.9999687980960733,
                0.9999885212318754,
                0.9999810748562752,
                0.999993037741261
            ],
            [
                0.9999785550567023,
                0.9999852610110022,
                0.9999938558253981,
                0.9999898700114365,
                0.9999785550464758,
                0.9999756997621748,
                0.9999756997563826,
                0.9999687980997966,
                0.9999756997534802,
                0.9999832985781602
            ],
            [
                0.9999417087553203,
                0.9998911030518745,
                0.9999546021313646,
                0.9999151889890027,
                0.9998204720985001,
                0.9999646437577242,
                0.9999485577679873,
                0.9999038976194807,
                0.9997388097843127,
                0.9999339478711028
            ],
            [
                0.9999938558224687,
                0.9999810748562764,
                0.9999930377420909,
                0.9999898700066067,
                0.9999980052702786,
                0.9999952149072169,
                0.9999921107402364,
                0.999997438717484,
                0.999997438717484,
                0.9999885212264029
            ],
            [
                0.9999785550490341,
                0.9999339478789423,
                0.9999832985741748,
                0.9999885212346117,
                0.9999810748472499,
                0.9999339478396218,
                0.9999957771680659,
                0.9999646437492937,
                0.999992110738356,
                0.9999646437324474
            ],
            [
                0.9999599363030822,
                0.9999921107355336,
                0.9999869928668863,
                0.99998526101803,
                0.9999785550413645,
                0.9999810748472503,
                0.9999945777829696,
                0.9999938558232011,
                0.999989870009021,
                0.9999724643089054
            ],
            [
                0.9999967112501508,
                0.999996711251719,
                0.9999921107364749,
                0.9999945777790917,
                0.9999852610215446,
                0.9999952149072169,
                0.9999938558253983,
                0.9999930377462408,
                0.9999980052695652,
                0.999994577781677
            ],
            [
                0.999993855826131,
                0.9999921107402365,
                0.9999952149043646,
                0.9999930377429206,
                0.9999869928653343,
                0.999997438716568,
                0.9999930377437508,
                0.999994577780384,
                0.9999977396751633,
                0.9999977396762411
            ],
            [
                0.9999417087484173,
                0.9999687980886374,
                0.9999339478474842,
                0.9999599362887278,
                0.9999599362982708,
                0.9999599363126035,
                0.999983298576167,
                0.9999485577986492,
                0.9999852610162749,
                0.9999756997506082
            ],
            [
                0.9999986290424663,
                0.9999980052695652,
                0.9999980052702786,
                0.9999967112517187,
                0.9999967112505429,
                0.9999962733620493,
                0.9999967112505428,
                0.999996273360272,
                0.9999962733598278,
                0.9999974387187053
            ],
            [
                0.9999898700114366,
                0.9999885212332433,
                0.999991060299435,
                0.9999885212277704,
                0.9999724643056221,
                0.9999898700041907,
                0.9999910603068949,
                0.9999339478553996,
                0.999985261021543,
                0.9999921107345938
            ],
            [
                0.9999974387165681,
                0.9999938558224697,
                0.9999974387168734,
                0.9999938558239342,
                0.9999984465024306,
                0.9999984465015047,
                0.9999980052709921,
                0.9999967112505427,
                0.9999869928699887,
                0.9999967112497585
            ],
            [
                0.9996200155143443,
                0.9999687980811974,
                0.9997388095658684,
                0.9982992773088851,
                0.9995694429607985,
                0.9999038975965941,
                0.9998415637264605,
                0.9998911031166673,
                0.9998415637643508,
                0.9997040428650887
            ],
            [
                0.9999967112521109,
                0.9999945777797377,
                0.9999977396751634,
                0.9999980052705163,
                0.9999930377445806,
                0.9999974387184,
                0.9999945777829696,
                0.9999952149055056,
                0.9999938558246662,
                0.9999957771645421
            ],
            [
                0.9999982396574163,
                0.999997438717484,
                0.999998239656367,
                0.9999984465020603,
                0.9999921107402365,
                0.999998005269803,
                0.9999970976880149,
                0.9999970976873234,
                0.9999980052702786,
                0.9999982396567867
            ],
            [
                0.9992903295423246,
                0.9968273174940286,
                0.9986749773729727,
                0.9971990732097646,
                0.9996200154243915,
                0.9993736659699947,
                0.9989677689152278,
                0.9968273175757639,
                0.9999485577679469,
                0.9986749778549906
            ],
            [
                0.9999687980811962,
                0.9997040428663201,
                0.9999810748472509,
                0.9999832985801475,
                0.9998415638400577,
                0.9999038976195121,
                0.9998601778594738,
                0.9999251537817111,
                0.9998601779760934,
                0.999972464315471
            ],
            [
                0.999991060305828,
                0.9999974387187053,
                0.9999885212305071,
                0.9999921107383554,
                0.9999980052695652,
                0.9999984465022455,
                0.9999869928715381,
                0.9999974387180947,
                0.9999945777810305,
                0.9999945777797378
            ],
            [
                0.9999962733598277,
                0.9999898700102287,
                0.9999852610215476,
                0.9999921107392962,
                0.9999938558268635,
                0.9999957771675626,
                0.9999724643056274,
                0.999993855826131,
                0.999985261014518,
                0.9999869928730883
            ],
            [
                0.9999869928715365,
                0.9999869928668857,
                0.9999687980737576,
                0.9998911031297709,
                0.999994577782323,
                0.9999990577549569,
                0.9999930377454107,
                0.9999852610145195,
                0.9999810748540188,
                0.9999687980886387
            ],
            [
                0.9999910603026312,
                0.9999952149066462,
                0.9999980052698029,
                0.9999967112501507,
                0.999993037741261,
                0.9999957771680659,
                0.9999977396762411,
                0.999995214904935,
                0.9999980052709919,
                0.9999984465026158
            ],
            [
                0.9999980052700408,
                0.999948557774109,
                0.9999869928761891,
                0.9999921107355342,
                0.9999852610110029,
                0.9999832985721865,
                0.9999898700078138,
                0.9999974387165681,
                0.9999756997621677,
                0.999993855824666
            ],
            [
                0.9999980052693274,
                0.9999967112517189,
                0.9999984465022455,
                0.9999970976890529,
                0.999998005269803,
                0.9999938558268632,
                0.9999957771660523,
                0.9999930377454103,
                0.9999986290423029,
                0.9999986290426297
            ],
            [
                0.9999952149043646,
                0.9999869928730883,
                0.9999962733589389,
                0.9999957771655488,
                0.9999930377462405,
                0.999995214904935,
                0.9999417087206256,
                0.9999810748562741,
                0.9999910603047621,
                0.9999724642990576
            ],
            [
                0.9999938558268633,
                0.9999970976873229,
                0.9999962733602719,
                0.9999962733611603,
                0.9999957771660524,
                0.9999984465018751,
                0.9999967112513267,
                0.9999980052705163,
                0.9999952149043647,
                0.9999977396754327
            ],
            [
                0.999995214904935,
                0.9999910603068934,
                0.9999980052705163,
                0.9999957771665556,
                0.9999962733607163,
                0.9999967112501507,
                0.9999952149037942,
                0.9999977396751633,
                0.999993855825399,
                0.9999930377462404
            ],
            [
                0.9999339478789859,
                0.999796573050825,
                0.9997694933673787,
                0.9999485577802131,
                0.9997694933396986,
                0.9999756997505795,
                0.9999957771650454,
                0.9997388097842443,
                0.9995694429607985,
                0.9999339478238459
            ],
            [
                0.9978172831758556,
                0.9980732655963608,
                0.9840936052267326,
                0.9988304900119555,
                0.9933071501189804,
                0.995929863178822,
                0.99849881805038,
                0.9669140233989488,
                0.9986749778286483,
                0.9980732655661385
            ],
            [
                0.9996646500118544,
                0.999620015470081,
                0.9990889489852608,
                0.9992903295339037,
                0.9998204720559244,
                0.999915188978871,
                0.9998415637642725,
                0.9999151889890107,
                0.9997040430074533,
                0.9994472213253549
            ],
            [
                0.9999982396565767,
                0.9999982396569966,
                0.9999984465024306,
                0.9999989322967482,
                0.9999987901347491,
                0.9999990577557432,
                0.9999982396567867,
                0.9999982396567867,
                0.9999989322966208,
                0.9999967112509347
            ],
            [
                0.9999982396559474,
                0.9999991684722697,
                0.9999984465020603,
                0.9999986290424663,
                0.9999989322973845,
                0.9999987901337396,
                0.9999987901337396,
                0.9999982396569966,
                0.9999984465018751,
                0.9999987901340281
            ],
            [
                0.9994472213239721,
                0.999769493312555,
                0.9986749778472881,
                0.9999546021097478,
                0.9998911031166918,
                0.999860177959389,
                0.999968798077472,
                0.9999852610162727,
                0.9999756997534747,
                0.9999339478317142
            ],
            [
                0.9999756997563761,
                0.999988521233243,
                0.9999952149032239,
                0.9999785550464753,
                0.9999952149055055,
                0.9999485578047517,
                0.9999910603047619,
                0.9999869928715361,
                0.99998107485853,
                0.9998911031167291
            ],
            [
                0.999989870006606,
                0.9999724643056221,
                0.9999921107392953,
                0.9999852610127582,
                0.9999852610145165,
                0.9999687980960733,
                0.9999852610110026,
                0.9999970976866309,
                0.9999756997650636,
                0.9999945777829695
            ],
            [
                0.9999869928715366,
                0.9999485577863596,
                0.999975699753474,
                0.9999921107392955,
                0.9999251537995278,
                0.9999646437619519,
                0.9999687980886347,
                0.9999546021205493,
                0.9999485578047517,
                0.9999687980960696
            ],
            [
                0.999993855826131,
                0.9999930377462408,
                0.9999952149066464,
                0.9999945777810307,
                0.9999810748495063,
                0.9999945777829701,
                0.9999885212291407,
                0.9999810748562752,
                0.9999898700053989,
                0.9999957771650457
            ],
            [
                0.9998911030778838,
                0.999964643732444,
                0.9999599362934897,
                0.9999251537817373,
                0.9999785550515884,
                0.9999339478632457,
                0.9999832985781566,
                0.9999785550439201,
                0.9999869928761884,
                0.9999810748517628
            ],
            [
                0.999941708713636,
                0.9998766054398994,
                0.9998911031166918,
                0.9999038975850683,
                0.9996200155616258,
                0.9999832985821381,
                0.9999251537906066,
                0.9999151889486261,
                0.9999687980811924,
                0.9999417087414781
            ],
            [
                0.9999974387177893,
                0.9999967112513268,
                0.999993855826131,
                0.999986992869987,
                0.9999938558239337,
                0.9999930377420909,
                0.9999967112505427,
                0.9999977396759716,
                0.9999982396565769,
                0.9999967112513268
            ],
            [
                0.9999485577740995,
                0.999891103129733,
                0.9999546021259709,
                0.9999251537370689,
                0.999968798077481,
                0.9992903295358437,
                0.9984988178982175,
                0.9999687980960721,
                0.9997694932575167,
                0.9999417087553165
            ],
            [
                0.999985261021544,
                0.999995214904935,
                0.9999832985841314,
                0.9999810748585323,
                0.9999970976890528,
                0.9999810748472509,
                0.9999852610162727,
                0.9999852610127595,
                0.9999930377412606,
                0.9999885212291383
            ],
            [
                0.9999832985821409,
                0.9999945777829694,
                0.9999810748472526,
                0.9999945777810304,
                0.9999869928668857,
                0.9999930377429205,
                0.999993037742921,
                0.9999945777797377,
                0.9999930377412608,
                0.999994577780384
            ],
            [
                0.9999930377429216,
                0.999996273358939,
                0.9999974387168733,
                0.9999974387177893,
                0.9999869928699864,
                0.9999938558239335,
                0.9999938558261309,
                0.9999962733589395,
                0.999994577780384,
                0.9999921107364742
            ],
            [
                0.9999977396748938,
                0.9999970976869769,
                0.9999990577549568,
                0.9999967112509347,
                0.999997438717484,
                0.9999967112501507,
                0.9999974387168733,
                0.9999962733616045,
                0.9999970976880149,
                0.9999938558239333
            ],
            [
                0.9999485577618208,
                0.9998601779092962,
                0.9999151889384686,
                0.9999810748472489,
                0.9999251537816741,
                0.9999599363125918,
                0.9998766054398349,
                0.9999151889485854,
                0.9999485577618268,
                0.999891103116832
            ],
            [
                0.9999970976887068,
                0.9999967112517189,
                0.9999980052700408,
                0.9999991684716749,
                0.9999970976887068,
                0.9999982396567867,
                0.9999996940976272,
                0.9999987901337396,
                0.9999957771660523,
                0.9999898700078145
            ],
            [
                0.9999485577924913,
                0.9999546021367759,
                0.9999810748495044,
                0.9999810748495063,
                0.9999724642990595,
                0.9998204720982964,
                0.9999151889789345,
                0.9999785550567036,
                0.9999687980997952,
                0.9999251537460085
            ],
            [
                0.9999967112501507,
                0.9999945777797379,
                0.9999869928715378,
                0.9999885212277702,
                0.9999962733620488,
                0.9999885212318768,
                0.9999921107383557,
                0.9999957771655489,
                0.9999967112517189,
                0.9999984465028011
            ],
            [
                0.9999724642990617,
                0.9999885212359817,
                0.999978555056703,
                0.9999898700114359,
                0.9999869928653345,
                0.9999952149043647,
                0.9999945777816768,
                0.9999852610145177,
                0.9999930377437507,
                0.9999921107392964
            ],
            [
                0.9998766053958313,
                0.9999151889889798,
                0.9998204720772462,
                0.9997040429708655,
                0.9997040427595703,
                0.999891103038808,
                0.9998601779426642,
                0.9998204720559244,
                0.9995121427654164,
                0.9998204719699371
            ],
            [
                0.9999930377445807,
                0.9999945777797374,
                0.9999885212305079,
                0.9999980052695652,
                0.9999967112513267,
                0.999995777164542,
                0.9999957771680658,
                0.999997097688361,
                0.9999989322973846,
                0.9999974387184
            ],
            [
                0.9999930377420907,
                0.9999810748540172,
                0.9999957771655487,
                0.9999938558275954,
                0.9999869928653338,
                0.9999945777784449,
                0.9999546021205518,
                0.9999910602994336,
                0.9999546021097193,
                0.9999832985761674
            ],
            [
                0.9996646499709837,
                0.99142251305775,
                0.9933071503945013,
                0.9982992775488364,
                0.9989677690572393,
                0.9991959142460112,
                0.9968273173445488,
                0.5621765008857982,
                0.9924227601608294,
                0.9902915241363479
            ],
            [
                0.999994577780384,
                0.999995777167059,
                0.9999967112521109,
                0.9999962733611603,
                0.9999930377404308,
                0.999996273360272,
                0.9999810748449934,
                0.9999938558239333,
                0.9999938558268633,
                0.999996711252111
            ],
            [
                0.9999980052700408,
                0.9999930377404306,
                0.9999957771655488,
                0.9999852610110022,
                0.9999952149072169,
                0.999995214904935,
                0.9999967112505427,
                0.9999885212264024,
                0.9999930377412608,
                0.999989870009021
            ],
            [
                0.999978555056703,
                0.9999485577863694,
                0.9999810748517617,
                0.9999724642957828,
                0.9999832985721847,
                0.999978555046477,
                0.9999957771665556,
                0.9999945777823231,
                0.999991060302631,
                0.9999785550541473
            ],
            [
                0.9999785550439222,
                0.999569443014658,
                0.9999898700090211,
                0.9999485577618392,
                0.9999724643023429,
                0.9999687980849118,
                0.9999687980774743,
                0.999975699762171,
                0.999954602147616,
                0.9999546021367908
            ],
            [
                0.9999898700066057,
                0.9999982396561572,
                0.9999885212359826,
                0.9999970976880149,
                0.9999938558275957,
                0.999989870005398,
                0.9999980052702786,
                0.9999898700102287,
                0.9999967112493665,
                0.9999970976869771
            ],
            [
                0.9999885212264018,
                0.9999962733598275,
                0.9999832985761674,
                0.9999785550464765,
                0.9999957771655487,
                0.9999921107364742,
                0.9999898700066057,
                0.99989110309081,
                0.9999885212291385,
                0.9999251537995594
            ],
            [
                0.9989677689261518,
                0.9998601779592853,
                0.9998204720551825,
                0.9999151889789105,
                0.9995121428237439,
                0.9996646498505665,
                0.9999724643056193,
                0.9998766054397721,
                0.9978172836804141,
                0.9989677691758422
            ],
            [
                0.9999724643056253,
                0.9999546021368069,
                0.9999810748540172,
                0.9999921107336528,
                0.9999546021151405,
                0.9999910603015651,
                0.9999485577802474,
                0.9999885212346119,
                0.999959936307828,
                0.999986992869987
            ],
            [
                0.9999339478317487,
                0.9999646437577242,
                0.9999251537639228,
                0.9999785550464753,
                0.9998204720985366,
                0.9999599363078407,
                0.9999687980737526,
                0.9999151889890027,
                0.9999832985841324,
                0.9999546021367807
            ],
            [
                1.2098655392574583e-06,
                1.5534971989907999e-06,
                1.3709576971242028e-06,
                9.422445938917108e-07,
                5.422218969532895e-06,
                1.2098658277082653e-06,
                4.450852111135988e-07,
                4.22283545808297e-06,
                2.9023109470554753e-06,
                1.9947304348595095e-06
            ],
            [
                0.9999869928684348,
                0.9999852610232997,
                0.9999785550541442,
                0.9999921107392955,
                0.9999646437450794,
                0.998674977367119,
                0.9999885212305062,
                0.9999967112505427,
                0.9999756997650636,
                0.9999599362982671
            ],
            [
                0.9999910603047655,
                0.9999921107383553,
                0.9999852610162737,
                0.9999967112513268,
                0.9999977396748939,
                0.9999974387177893,
                0.999995214906076,
                0.9999952149037942,
                0.9999852610180298,
                0.9999967112521109
            ],
            [
                0.9999962733611603,
                0.9999974387184,
                0.9999546021421849,
                0.999993037743751,
                0.9999952149043646,
                0.999996273358939,
                0.999995777168066,
                0.9999952149055054,
                0.9999945777797379,
                0.9999756997679643
            ],
            [
                0.9999970976876689,
                0.9999898700126439,
                0.9999910603015663,
                0.9999957771660523,
                0.9999756997563729,
                0.9999869928715366,
                0.9999974387180947,
                0.9999967112521109,
                0.9999921107392958,
                0.9999724643187576
            ],
            [
                0.9999945777829696,
                0.9999986290426298,
                0.9999982396559474,
                0.9999986290429567,
                0.9999977396751634,
                0.9999986290426297,
                0.999996273360272,
                0.9999967112497586,
                0.9999977396765105,
                0.9999974387180947
            ],
            [
                0.9999756997476862,
                0.9999810748427385,
                0.9999810748449929,
                0.9999646437408712,
                0.9999724643154813,
                0.99998526101803,
                0.9997965729301778,
                0.9999546021259818,
                0.9999869928730883,
                0.9999546021367857
            ],
            [
                0.9999546021421969,
                0.999373665973456,
                0.9999251537371397,
                0.9999339478317487,
                0.999933947878971,
                0.9998204720130326,
                0.9998601778927158,
                0.9998204720553759,
                0.999860177942941,
                0.9998911031168464
            ],
            [
                0.9999810748517622,
                0.999988521234612,
                0.9999921107345938,
                0.9999957771660521,
                0.9999957771675626,
                0.9999852610215476,
                0.9999898700078133,
                0.9999785550490375,
                0.9999832985781587,
                0.9999898700041906
            ],
            [
                0.9999921107355341,
                0.9999930377437507,
                0.99997855505926,
                0.9999852610162737,
                0.9999938558268633,
                0.9999945777797377,
                0.9999962733593833,
                0.9999910603047625,
                0.9999832985821404,
                0.9999957771650453
            ],
            [
                0.999997097688361,
                0.9999945777829697,
                0.9999945777810305,
                0.9999852610233023,
                0.9999970976883609,
                0.9999982396561572,
                0.9999962733602719,
                0.9999930377404315,
                0.999993037743751,
                0.9999967112521109
            ],
            [
                0.9999885212264018,
                0.9999957771660523,
                0.9999974387171787,
                0.9999869928730883,
                0.9999930377420908,
                0.9999952149055054,
                0.9999980052707541,
                0.9999921107345936,
                0.9999938558261307,
                0.9999952149037943
            ],
            [
                0.9999921107345933,
                0.9999938558261312,
                0.9999869928730871,
                0.999996711252111,
                0.999996273358939,
                0.9999921107402364,
                0.9999967112493665,
                0.9999945777790913,
                0.9999810748585329,
                0.9999962733607161
            ],
            [
                0.9980732655553928,
                0.9992903296225708,
                0.9997040427949182,
                0.9986749773840642,
                0.9984988176849806,
                0.9875683502902086,
                0.9994472214505143,
                0.9996646498895055,
                0.9999038975506293,
                0.996406397938805
            ],
            [
                0.9998766053665034,
                0.9999921107383549,
                0.9999339478238656,
                0.9999921107336528,
                0.9999646437366521,
                0.9999646437450824,
                0.9999599363126035,
                0.999948557774109,
                0.9999930377445804,
                0.9999810748562722
            ],
            [
                0.9947798748239196,
                0.9990889487612006,
                0.9988304896087461,
                0.999876605366419,
                0.9996200155155605,
                0.9964063971751413,
                0.9964063976795261,
                0.9990889487708962,
                0.9999251537816986,
                0.9996646499709837
            ],
            [
                0.9999957771645421,
                0.9999898700053984,
                0.9999945777790913,
                0.9999962733598274,
                0.999992110737415,
                0.9999910603005,
                0.9999938558275964,
                0.9999945777816769,
                0.9999938558253983,
                0.9999962733620489
            ],
            [
                0.9999785550567089,
                0.9998911031038679,
                0.9999957771665556,
                0.9999810748495074,
                0.9999852610162724,
                0.9999921107402369,
                0.9999687980849095,
                0.9999898700090208,
                0.999975699765066,
                0.999992110738355
            ],
            [
                0.9999852610110012,
                0.9999957771675625,
                0.9999957771680656,
                0.9999852610162734,
                0.999992110737415,
                0.9999885212359807,
                0.9999938558224686,
                0.9999869928715365,
                0.999996273358939,
                0.9999885212346129
            ],
            [
                1.0677026154730804e-06,
                2.260325375677174e-06,
                4.785093924251918e-06,
                1.9947306726594253e-06,
                1.3709570434122812e-06,
                1.2098658277451275e-06,
                1.5534971989992774e-06,
                6.962255419728997e-06,
                1.2098652508347793e-06,
                1.2098652508347793e-06
            ],
            [
                0.9999984465016899,
                0.9999980052709919,
                0.9999986290424664,
                0.9999974387184001,
                0.9999974387184,
                0.9999967112493665,
                0.9999974387177893,
                0.9999938558275958,
                0.9999967112513267,
                0.9999938558224686
            ],
            [
                0.9999952149032236,
                0.999972464315471,
                0.9999910602994336,
                0.9999852610197885,
                0.9999945777823231,
                0.9999898700053982,
                0.9999885212291385,
                0.9999930377412608,
                0.9999852610197857,
                0.9999724643023419
            ],
            [
                0.9999938558254,
                0.9999885212332451,
                0.9999852610197885,
                0.9999921107336531,
                0.9999952149066468,
                0.9999945777797379,
                0.9999910603004997,
                0.9999967112501507,
                0.9999930377420908,
                0.9999957771675624
            ],
            [
                0.9999869928746383,
                0.9999869928684354,
                0.9999869928699864,
                0.9999967112521109,
                0.9999962733616048,
                0.9999898700114362,
                0.999993855827596,
                0.999994577780384,
                0.9999977396762412,
                0.999997097686977
            ],
            [
                0.9999756997650686,
                0.9999151889182842,
                0.9999417087136322,
                0.9999038975392935,
                0.9999687980849155,
                0.9999832985761661,
                0.9999546021151431,
                0.9999910602994336,
                0.9999687980960955,
                0.999975699747698
            ],
            [
                1.89251482406672e-05,
                1.3709576971425944e-06,
                5.4222202623972055e-06,
                2.2603248367512505e-06,
                1.7603427936263351e-06,
                6.962255419475714e-06,
                2.9023119851635836e-06,
                4.222835458148261e-06,
                1.7603427935967163e-06,
                6.144174601935314e-06
            ],
            [
                0.9999852610145148,
                0.9999599362983042,
                0.9999938558253983,
                0.9999724642990605,
                0.9999038975622222,
                0.9999339478396218,
                0.9999810748540218,
                0.9999869928684356,
                0.9999852610145155,
                0.9998415637268017
            ],
            [
                0.9999945777784449,
                0.9999898700041912,
                0.9999930377462403,
                0.9999910603005003,
                0.9999938558232012,
                0.9999952149055055,
                0.9999910603026325,
                0.9999898700126437,
                0.9999945777790912,
                0.9999945777816769
            ],
            [
                0.9999885212264029,
                0.9999869928653345,
                0.9999885212318756,
                0.9999646437450858,
                0.999983298576167,
                0.9999952149072167,
                0.9999898700041907,
                0.9999945777784449,
                0.9999957771675626,
                0.9999599363030465
            ],
            [
                0.9999974387174841,
                0.999995777167059,
                0.9999938558275964,
                0.9999910603026316,
                0.9999977396754327,
                0.9999977396751633,
                0.9999987901340281,
                0.999995214904935,
                0.999991060304763,
                0.9999977396746244
            ],
            [
                0.9999646437492937,
                0.9998601779759897,
                0.9998766054105878,
                0.9999417087553203,
                0.9998766053663866,
                0.9999038975737291,
                0.9997965730268371,
                0.999876605439851,
                0.9998911030908227,
                0.9998911030778442
            ],
            [
                0.9999945777797379,
                0.9999938558275958,
                0.9999921107364742,
                0.9999952149055056,
                0.999992110739296,
                0.9999962733593833,
                0.9999852610145151,
                0.9999930377412608,
                0.9999945777797375,
                0.9999945777797377
            ],
            [
                0.999992110740236,
                0.9999938558239335,
                0.999993855827596,
                0.9999930377454104,
                0.9999885212318754,
                0.9999977396762411,
                0.9999957771675623,
                0.999992110737415,
                0.9999898700066057,
                0.9999952149072167
            ],
            [
                0.9999962733607161,
                0.9999852610145158,
                0.9999852610180298,
                0.9999974387177893,
                0.9999869928730883,
                0.999997097686977,
                0.9999724643089085,
                0.9999832985821404,
                0.9999945777823233,
                0.9999869928761884
            ],
            [
                0.9995694429631032,
                0.999860177926084,
                0.9999724643187494,
                0.999985261021543,
                0.9999038975621705,
                0.9999251537995856,
                0.9999417087136648,
                0.9999810748517651,
                0.9998911030908894,
                0.999933947831754
            ],
            [
                0.9999930377412614,
                0.9999967112517189,
                0.9999724643056231,
                0.9999938558224686,
                0.9999938558261313,
                0.9999974387187054,
                0.999997438717484,
                0.9999930377445808,
                0.9999962733593833,
                0.9999974387165681
            ],
            [
                0.9999977396757022,
                0.9999974387187054,
                0.9999957771660524,
                0.9999945777790913,
                0.9999962733620488,
                0.9999970976880149,
                0.9999980052705164,
                0.9999970976880149,
                0.9999952149049351,
                0.999997438717484
            ],
            [
                0.9999687980923447,
                0.9999599362934862,
                0.9997694932295214,
                0.9990889488744228,
                0.9993736658266609,
                0.9998204720767369,
                0.9984988175293281,
                0.9997388096594276,
                0.9995694429103334,
                0.9995121428806805
            ],
            [
                0.9999898700041905,
                0.9999945777797375,
                0.9999957771645419,
                0.999989870005398,
                0.9999938558253986,
                0.9999957771650454,
                0.9999810748472499,
                0.9999810748585306,
                0.9999785550541448,
                0.9999724643023389
            ],
            [
                0.9999724643187533,
                0.9999038975507166,
                0.9999251537728161,
                0.9999599363221651,
                0.9999646437535082,
                0.9997694931747982,
                0.9999687980849155,
                0.9998911030778062,
                0.9999151889688184,
                0.9999485577863506
            ],
            [
                0.9999970976883609,
                0.9999952149037942,
                0.9999970976883609,
                0.9999977396746244,
                0.9999982396561571,
                0.9999898700041912,
                0.9999810748517607,
                0.9999977396754327,
                0.9999967112493665,
                0.999992110737415
            ],
            [
                0.9999938558268633,
                0.9999967112509347,
                0.9999885212318762,
                0.9999921107383557,
                0.9999921107402366,
                0.9999962733593831,
                0.999991060305829,
                0.9999869928699862,
                0.999993037740431,
                0.9999962733593832
            ],
            [
                0.999994577778445,
                0.9999930377462407,
                0.9999930377404308,
                0.9999921107336531,
                0.9999898700053982,
                0.9999977396757023,
                0.9999945777823231,
                0.9999952149066464,
                0.9999952149066464,
                0.9999921107345933
            ],
            [
                0.9999982396567867,
                0.9999962733611603,
                0.9999980052709919,
                0.9999974387171787,
                0.9999984465018751,
                0.9999977396759716,
                0.9999977396754328,
                0.9999982396567868,
                0.9999982396569966,
                0.9999986290426297
            ],
            [
                0.9999832985741752,
                0.9999921107374147,
                0.9999952149066462,
                0.9999885212346123,
                0.9999898700041906,
                0.9999962733602719,
                0.9999869928699874,
                0.9999921107336545,
                0.9999921107392957,
                0.9999977396748938
            ],
            [
                0.9999869928761876,
                0.9999957771655488,
                0.9999921107345936,
                0.9999898700090211,
                0.9999251537549417,
                0.9999810748517598,
                0.9999952149066462,
                0.9999910603004993,
                0.9999885212359801,
                0.9999832985821401
            ],
            [
                0.9999970976887068,
                0.9999945777816771,
                0.9999957771650454,
                0.9999930377445808,
                0.999992110740237,
                0.999998005269803,
                0.9999945777816769,
                0.9999945777829694,
                0.9999967112509347,
                0.9999977396754327
            ],
            [
                0.9996646497696542,
                0.9991959139488112,
                0.9994472214516722,
                0.9997388097839707,
                0.9998204720127558,
                0.9964063972118238,
                0.9996200155597575,
                0.9995121428218705,
                0.9986749775254808,
                0.999915188978879
            ],
            [
                0.9999687980737538,
                0.9999810748562746,
                0.9999869928730863,
                0.9999910603047624,
                0.999981074858529,
                0.9999687980960746,
                0.9999646437324302,
                0.9999832985821414,
                0.99998107485853,
                0.9999646437619449
            ],
            [
                0.9999952149055057,
                0.9999938558275957,
                0.9999930377412606,
                0.9999957771650453,
                0.9999967112501505,
                0.9999898700114365,
                0.9999898700090208,
                0.9999898700066057,
                0.999972464312199,
                0.9999810748540198
            ]
        ]
    },
    {
        "q_id": "10438_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            6,
            7,
            8,
            9,
            10,
            11,
            13,
            14,
            15,
            16,
            17,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            38,
            39,
            40,
            41,
            42,
            43,
            46,
            47,
            48,
            49,
            50,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            5,
            12,
            18,
            37,
            44,
            45,
            51
        ],
        "rewards": [
            [
                0.952574131703022,
                0.00020342697281662618,
                0.9999251537549417,
                0.9978172839948124,
                0.00043055713662454667,
                0.9859363710713731,
                4.006371127619171e-05,
                1.4738985484549675e-05,
                0.9959298624464367,
                0.000626334087644885
            ],
            [
                0.9982992775743336,
                0.0003799844362848834,
                0.9940889317211123,
                0.9998911031167798,
                0.00048785711406863335,
                0.914900957313305,
                0.9947798739316328,
                0.999860177892842,
                0.0008040859129943334,
                0.37754066879814546
            ],
            [
                0.002182716509746121,
                0.0013250224506416908,
                0.9940889310288322,
                0.0002959571679255893,
                0.997817283749379,
                0.9997965730512927,
                0.997199073575892,
                0.99937366582105,
                0.9998601778758892,
                0.002472623332364138
            ],
            [
                0.00015843619753982553,
                0.9959298631354075,
                0.9840936105040935,
                4.006370650070828e-05,
                0.0007096702793503971,
                0.7772998714925403,
                0.9933071495865127,
                0.9982992775067362,
                0.0031726821031857247,
                0.9996200154237502
            ],
            [
                6.605214450431904e-05,
                0.9669140254249554,
                0.9924227603079006,
                0.0006263343066169153,
                0.8807970889295663,
                0.9706877724285168,
                0.000709670541389104,
                0.9840936081424019,
                0.9998766054692795,
                0.9992903296195987
            ],
            [
                0.001169510463056515,
                0.9999599363030484,
                0.9997040430070055,
                0.9998204720981632,
                0.9993736657464684,
                0.00048785704560843756,
                0.9999785550490315,
                3.5356250681935664e-05,
                0.9999251537995159,
                0.999978555041362
            ],
            [
                0.9996646499296739,
                0.996406398093872,
                0.9999038975850585,
                0.9989677689219503,
                0.9999417087553203,
                0.0015011824973701223,
                0.957912269230769,
                0.001501182435597727,
                0.9986749775279455,
                0.9875683471573077
            ],
            [
                0.9986749773840642,
                0.9988304898795015,
                0.9465966702001757,
                0.999738809784176,
                0.00015843617860273327,
                0.00029595723759669694,
                0.9999646437492953,
                0.9990889488813104,
                0.9996200154248226,
                0.8807970670261976
            ],
            [
                0.9959298627069243,
                0.0010322308836994095,
                0.9959298617631286,
                0.9995694429624519,
                0.9978172831576002,
                0.992422757517052,
                0.9990889488724095,
                0.9991959140498733,
                0.9933071481810454,
                0.9997388097219424
            ],
            [
                0.9997040427944791,
                0.9626731145299533,
                0.9998911030647897,
                0.9999151889688184,
                0.9996200155616258,
                0.999915188979021,
                0.9820137940845285,
                0.9626731131913228,
                0.0035936028715456247,
                0.9998601779259395
            ],
            [
                3.5356242262551455e-05,
                0.974042643508618,
                6.605217610793098e-05,
                0.001501181998479577,
                0.00010889696095511661,
                0.9992903297082659,
                0.952574129683468,
                0.9820137935252397,
                0.00010889696096937699,
                6.605214466242357e-05
            ],
            [
                0.7772998663336157,
                0.9982992779079726,
                0.9933071490168961,
                0.9796676476961953,
                0.9465966683169887,
                0.0009110510455216707,
                0.9875683505646232,
                0.904650538956921,
                0.9706877689306563,
                0.9991959139663017
            ],
            [
                0.999373665822981,
                0.9998911031168067,
                0.9997694932574094,
                0.9902915252555905,
                0.9933071489518854,
                0.9959298629768498,
                0.9996646499293421,
                0.9984988177142963,
                0.9998911030647413,
                0.9669140180359898
            ],
            [
                0.999664649810164,
                0.00037998448147691,
                0.0017007227640490265,
                0.9997388096606815,
                0.9959298630070513,
                0.997817283238228,
                0.9914225139764569,
                0.9996646498104957,
                0.9997965729538639,
                0.0009110509975731095
            ],
            [
                0.9953904277565276,
                0.9997388095980149,
                0.9989677690640817,
                0.9997040429709516,
                0.9953904278740409,
                0.5926665999540698,
                0.9914225140002165,
                0.00043055713662454667,
                0.9995121428836323,
                0.9997040428298269
            ],
            [
                0.9796676453958755,
                0.9964063982180924,
                0.9991959141455572,
                0.9999646437577183,
                0.9999724643187523,
                0.999841563802036,
                0.9997388097217372,
                0.9740426421899769,
                0.999738809691521,
                0.9996646498097153
            ],
            [
                0.9986749773729727,
                0.9626731117188292,
                0.9669140243523636,
                0.000804085882689755,
                0.0002611902147676999,
                0.9998911030518491,
                0.9465966752847803,
                0.9914225127171948,
                0.9999485577863596,
                0.8175744806385543
            ],
            [
                0.001325022541068179,
                0.9999832985821377,
                0.9998415637831289,
                0.9999546021259581,
                0.9924227597336231,
                0.9525741246345829,
                0.9999546021313769,
                0.9992903295370822,
                0.9796676485495397,
                0.9241418267688303
            ],
            [
                0.9989677691675591,
                0.9669140220880034,
                0.9980732651013858,
                0.8354835391516132,
                0.9992903294523778,
                0.9980732649189324,
                0.9978172834527289,
                0.9914225141744539,
                0.9984988180493329,
                0.9982992772877362
            ],
            [
                0.9999756997476814,
                0.9991959142450758,
                0.999820471948819,
                0.999964643732436,
                0.9999417087066884,
                0.9996646499706324,
                0.9986749775510528,
                0.9982992777142723,
                0.99995460213136,
                0.9999339478396165
            ],
            [
                0.9953904279659149,
                0.9995694428598808,
                0.987568351639414,
                0.9989677688127107,
                0.9975273772648859,
                0.00017952790146334602,
                0.9947798742991872,
                0.0004878571092434949,
                0.7772998663336158,
                0.9933071492893214
            ],
            [
                0.9998415637455751,
                0.8519528019683106,
                0.9995121428829227,
                7.484622712072259e-05,
                0.9999151889890266,
                0.9947798754913209,
                0.9933071489518854,
                0.999891103103726,
                0.8519528038477824,
                0.9706877721635273
            ],
            [
                0.9990889486596344,
                0.9740426429434861,
                0.9996200155619243,
                0.9982992774842037,
                0.9999724643089054,
                0.9982992772669825,
                0.999088948766022,
                0.9940889313927582,
                0.9998204720770738,
                0.9525741298517643
            ],
            [
                0.9770226278319488,
                0.9998911031167671,
                0.9996646497300419,
                0.9990889487644324,
                0.9046505338155469,
                0.9982992776850196,
                0.9999485577986111,
                0.9859363717299652,
                0.996406398093872,
                0.9964063982114229
            ],
            [
                0.9149009532527358,
                0.9997388096602561,
                0.9984988178753582,
                0.0009110513047618368,
                0.9988304897599666,
                0.9968273178077154,
                0.008577483798055521,
                0.9975273763236427,
                0.9984988176839336,
                0.9997040429714769
            ],
            [
                0.9579122690805788,
                0.9971990736136103,
                0.9933071497815444,
                0.9947798744563652,
                0.9999687980960685,
                0.9990889487700485,
                0.9324533022906133,
                0.005911069871405761,
                0.9579122729855218,
                0.9980732657949328
            ],
            [
                0.7057850340255387,
                4.539786862316288e-05,
                0.9890130550013347,
                0.0009110512217922601,
                0.5621765008857981,
                0.8670357512127873,
                0.8933094103149355,
                0.000261190337904862,
                0.9626731097108833,
                0.0004878571668329451
            ],
            [
                0.9999910603036961,
                0.9993736658256772,
                0.9914225144120505,
                0.9986749778938108,
                0.9999251537549417,
                0.9840936077925215,
                0.9740426431318634,
                0.9999687980811924,
                0.9999251537549417,
                0.9998415637644292
            ],
            [
                3.535625912022914e-05,
                0.9992903295363391,
                0.996827317257659,
                0.9914225142298931,
                0.9971990736701877,
                0.9997040428306192,
                0.9959298627465637,
                0.9902915214143494,
                0.7057850340255386,
                0.9579122753885635
            ],
            [
                0.9046505261034854,
                0.7549149868676283,
                0.9149009468718409,
                0.9947798754018504,
                0.998967768794464,
                0.9875683496842096,
                0.9996200155157815,
                0.9998601779593687,
                0.9959298631014308,
                0.9933071483327368
            ],
            [
                0.9046505453836383,
                0.9324533088603709,
                0.0008040859203366467,
                0.9971990735869474,
                0.999941708748396,
                0.9998204719912955,
                0.9964063980046668,
                0.0019267349337615685,
                0.0019267347031762052,
                0.9959298627069243
            ],
            [
                0.9796676486608455,
                0.9940889324434916,
                0.0017007225748946744,
                0.9859363751391478,
                0.9991959142393704,
                0.8519528000888386,
                0.9982992779038219,
                0.9980732648902771,
                0.9993736657445738,
                0.9984988175195562
            ],
            [
                0.9994472213863268,
                0.9988304898781416,
                0.9914225140714955,
                0.9992903297095043,
                0.9996646497698786,
                0.9997694933399132,
                0.9999417087136174,
                0.999447221389639,
                0.9964063972743508,
                0.9980732653514478
            ],
            [
                8.48110208951453e-05,
                0.9991959139567147,
                0.9968273164822781,
                0.9924227577656721,
                0.9959298621934994,
                6.605212097077738e-05,
                0.000626334148272075,
                0.9399133555065331,
                0.0024726234667454246,
                0.9997388095977412
            ],
            [
                0.9999599363030525,
                0.9999038975392426,
                0.9999417087553398,
                0.9998766053809959,
                0.999876605410392,
                0.9978172839577945,
                0.9994472213201774,
                0.999933947855328,
                0.9940889322245888,
                0.9997694932579526
            ],
            [
                0.00033535026719690446,
                7.484624504525627e-05,
                0.9995121427649623,
                0.9978172835571902,
                0.9149009468718409,
                5.829129331162062e-05,
                0.9924227588862137,
                0.9953904283270011,
                0.001700722188086937,
                0.9991959140489378
            ],
            [
                0.96691402411401,
                0.9998911030777436,
                0.9971990726322849,
                0.9971990735719901,
                0.9998911030518365,
                0.9997388097840392,
                0.974042645109825,
                0.999195914052726,
                0.003593603321740466,
                0.8807970701552505
            ],
            [
                0.0005527786671522758,
                0.00015843621655760155,
                0.9995694429102457,
                0.9796676455442832,
                0.9465966702001758,
                0.7057850278370112,
                0.0007096704508643792,
                0.9669140228030646,
                0.999512142766495,
                0.0007096705463838567
            ],
            [
                0.002182716352546979,
                0.9999546021151355,
                0.9968273172672315,
                0.9997965729297902,
                0.9820137935910384,
                0.9740426458162397,
                0.9998601778925937,
                0.9999546021151239,
                0.9999151889889798,
                0.9997040429002644
            ],
            [
                0.9959298626031068,
                0.9964063966999356,
                0.00017952790121781749,
                0.7981867729389246,
                0.998299277339719,
                0.7057850340255386,
                0.0003353501082212021,
                0.00010889696114208605,
                0.00017952798707185626,
                0.00017952790088870477
            ],
            [
                0.0002034268988431508,
                0.9998601778759504,
                8.48110816015709e-05,
                0.9902915229454736,
                0.9840936079674617,
                1.892514597494899e-05,
                0.00048785723134789675,
                0.0002305067087131174,
                0.9959298620915695,
                0.9968273176670718
            ],
            [
                0.9626731160024468,
                0.9980732654342795,
                0.9986749775296401,
                0.9959298617669038,
                0.9982992775221531,
                0.9986749776736754,
                0.9924227571493742,
                0.9770226278737641,
                0.9875683490553426,
                0.9770226320134775
            ],
            [
                0.9995121428802264,
                0.9994472214557563,
                0.999195914249846,
                0.9982992778842542,
                0.9998601779592466,
                0.9995694429639425,
                0.9980732654127881,
                0.9959298627767652,
                0.9902915233752628,
                0.9996200154248226
            ],
            [
                0.999796573002346,
                0.9994472213885778,
                0.9995694429612494,
                0.9975273769306556,
                0.9770226324734456,
                0.9940889320412578,
                0.999738809691445,
                0.9975273768893076,
                0.9993736657514962,
                0.9996200154258397
            ],
            [
                0.957912274637613,
                0.9980732655392742,
                0.000911051183592349,
                0.9992903294538638,
                0.9982992772669825,
                0.9968273176913716,
                5.144223204748698e-05,
                0.00013982209018104417,
                0.9975273769392698,
                0.9875683494783986
            ],
            [
                0.9840936109997572,
                0.9964063980004982,
                0.9999599362982671,
                0.9992903297095043,
                0.9796676444312252,
                0.9998601778925734,
                0.9796676459524044,
                0.9996200155158589,
                0.9525741276639141,
                0.9740426404945812
            ],
            [
                0.9999687980737538,
                0.9999038975735753,
                0.9999339478553375,
                0.9940889304979927,
                0.9996200155606088,
                0.009708478120045582,
                0.9740426452040135,
                0.9924227589002204,
                0.9989677689141474,
                0.9998415638208902
            ],
            [
                0.9980732649408717,
                0.9999646437450721,
                0.9996200154250436,
                0.9998415638020107,
                0.999978555049031,
                0.999796573050825,
                0.9999756997592687,
                0.9999852610233015,
                0.999948557798614,
                0.9993736657513141
            ],
            [
                0.9998204720340488,
                0.9975273767497578,
                0.9991959140632952,
                0.9988304895899794,
                0.982013794216126,
                0.9984988180908636,
                0.000626334084584378,
                0.9984988175424154,
                0.9986749773996231,
                0.9984988179533589
            ],
            [
                0.9999546021475986,
                0.9999151889687554,
                0.9995694429631908,
                0.9999151889586393,
                0.9998766054545895,
                0.9992903294531208,
                0.9999485577986083,
                0.999876605425161,
                0.9999898700126433,
                0.9999898700114356
            ],
            [
                0.99477987495208,
                0.9924227581613634,
                0.9982992775318382,
                0.9706877718985379,
                0.9996646498500006,
                0.9875683485293811,
                0.9975273766992212,
                0.9993736658988743,
                0.9984988175349121,
                0.9992903295358437
            ],
            [
                0.99592986163666,
                0.9991959141560794,
                0.0019267347869033145,
                0.9993736658971619,
                0.9706877708915781,
                0.9988304898829012,
                0.9997040429360429,
                0.000626334021661814,
                0.9998601778595592,
                0.0002611904015519706
            ],
            [
                0.9998911030777563,
                0.9996200155161462,
                0.0017007222335472185,
                0.9740426447330703,
                0.9626731101124724,
                0.0002034270427235681,
                0.9997965729782722,
                0.9999599363221485,
                7.484620933559467e-05,
                0.9959298624558747
            ],
            [
                0.0005527786539674274,
                7.48462539462643e-05,
                0.0019267349136133317,
                0.0003353500666186372,
                0.9999785550439215,
                0.00033534998562829293,
                0.0002959571272475209,
                0.9669140180359896,
                0.9996646498897299,
                0.002182716776984689
            ],
            [
                0.00015843629174353693,
                5.829125155557251e-05,
                1.4738976697631541e-05,
                2.7535697653779924e-05,
                0.5621765008857982,
                0.0004878572292759249,
                6.605212883227015e-05,
                0.7549149923816048,
                0.0015011819946406156,
                0.9669140211345885
            ],
            [
                0.9991959139554519,
                0.9998415638208648,
                0.99829927767909,
                0.9978172839694577,
                0.9999339478710831,
                0.9875683504731517,
                0.9980732649354987,
                0.00020342702089318432,
                0.8933094103149355,
                0.9399133534026293
            ],
            [
                0.9940889306649062,
                0.99849881805038,
                0.0008040860256076538,
                0.9995121428866693,
                0.9997040427950904,
                0.0006263342909500287,
                0.9947798732642312,
                0.99242275999625,
                0.0015011821844947103,
                0.9998766054546884
            ],
            [
                0.9902915231693222,
                0.9991959141487373,
                0.9996646498904032,
                0.9968273178872417,
                2.4300249418927004e-05,
                0.9990889489828236,
                0.9968273168386734,
                0.9980732651154897,
                0.992422759257393,
                0.999769493367325
            ],
            [
                0.9971990729756512,
                0.9982992779038219,
                0.9997040428653471,
                3.1201915058697335e-05,
                0.9995121429398309,
                0.9995694430121654,
                0.9947798754405404,
                0.9980732651642932,
                0.998830489596643,
                0.9875683463683653
            ],
            [
                0.9964063977545586,
                0.9998911031038282,
                0.9964063974544287,
                0.998674977519473,
                0.9998204720553105,
                0.9995121427649623,
                0.0006263341666351194,
                0.8670357615200475,
                0.9947798732376318,
                0.9978172835318355
            ],
            [
                0.9875683477404389,
                0.9998204720767055,
                0.9997388097535417,
                0.9964063967933093,
                0.9706877663337597,
                0.9579122677288677,
                0.9997388096595644,
                0.957912271784001,
                1.4738987240824012e-05,
                0.9968273178128699
            ],
            [
                4.222833444467892e-06,
                0.9046505395995929,
                0.9953904275685064,
                2.4300249412738893e-05,
                0.9982992776947046,
                0.9770226296718215,
                0.7310585786300049,
                0.9971990736363714,
                0.0003799845710760881,
                0.00023050662068268575
            ],
            [
                0.9984988178655863,
                0.9999756997650621,
                0.9990889490204407,
                0.9999724643056184,
                0.9988304896060263,
                0.7549149813536518,
                0.999915188978871,
                0.992422760290392,
                0.9998204720553759,
                0.9999417087553126
            ],
            [
                0.0017007221463820712,
                0.9971990736623839,
                0.999512142765899,
                0.8519527982093666,
                0.9996200155160689,
                0.00029595709712646536,
                0.9975273772241122,
                0.9988304898629108,
                0.8670357598021707,
                0.9980732655999428
            ],
            [
                0.9996200155168097,
                0.9914225133032665,
                0.9996200154249663,
                0.9820137915512787,
                0.9999885212291387,
                0.9579122683296282,
                0.999876605366322,
                0.989013057328927,
                0.9999546021205518,
                0.9998415638397973
            ],
            [
                0.9324533158993963,
                0.7772998508568417,
                0.8354835350552604,
                0.9796676445796328,
                0.9996200155602549,
                0.9996200154259834,
                0.9525741226150287,
                0.998073265443682,
                0.0017007221564623945,
                0.6224593312018546
            ],
            [
                0.9924227602553752,
                0.9840936110289139,
                0.9999785550541426,
                0.9996646500101373,
                0.9999599363173656,
                0.9890130590796807,
                0.9859363733054209,
                0.984093605285046,
                0.9986749773695837,
                0.9995121427679141
            ],
            [
                0.000911051197632538,
                2.7535697645265342e-05,
                0.0013250223862494082,
                0.9859363716912245,
                0.0001795279656089957,
                6.605217592675944e-05,
                6.605215247346026e-05,
                4.5397852367551086e-05,
                0.9525741291785795,
                0.00017952794403904547
            ],
            [
                0.001325022265475375,
                0.9241418215456966,
                0.9579122696813392,
                0.0005527786010029301,
                4.539788484079622e-05,
                0.0005527786091389454,
                0.9241418205010699,
                0.00048785722379797236,
                0.00043055713555988204,
                0.9875683494097949
            ],
            [
                0.00013982203985419688,
                8.481108173176412e-05,
                0.9706877680296923,
                0.984093610649877,
                7.484620045365076e-05,
                0.00015843623449655312,
                0.9986749773645001,
                0.0007096705242170624,
                0.7981867777396212,
                0.7549149813536518
            ],
            [
                0.9968273167193841,
                0.9796676471025645,
                0.9890130598386779,
                0.0002034270686145957,
                0.9626731097108832,
                0.9940889321096649,
                0.9989677690837688,
                0.7772998560157665,
                0.9996646497701029,
                0.998967769067803
            ],
            [
                0.9820137941832265,
                0.9997040429015819,
                0.9953904280983844,
                0.9706877682416839,
                0.8519528038477825,
                0.9914225161623451,
                0.9997388096616391,
                0.9933071505926289,
                0.000487857223911505,
                0.97702262799921
            ],
            [
                0.0004878570947113133,
                0.9890130557400922,
                0.0017007220386609772,
                0.705785040214066,
                0.9990889489812341,
                0.00020342702008815938,
                0.9241418184118162,
                0.817574478416099,
                0.0007096703691733583,
                0.9964063972551759
            ],
            [
                0.9975273763850906,
                0.26894141551050293,
                0.9993736659711606,
                0.9914225144912494,
                0.9046505383142492,
                0.9525741268224333,
                0.0004878570588633752,
                0.9706877697256248,
                0.9999724643023399,
                0.9525741271590256
            ],
            [
                0.0006263341539558744,
                0.00048785722643760756,
                0.9933071485927794,
                0.9964063967066051,
                0.8354835330070839,
                0.9669140188702279,
                0.994779874533745,
                0.9968273177451253,
                0.9980732653586117,
                0.9669140181551665
            ],
            [
                0.9999038975507579,
                0.9982992775630675,
                0.9991959139627474,
                0.999841563783417,
                0.9840936087546923,
                0.9465966662454831,
                0.9046505440982949,
                0.9995121429393768,
                0.9995694430152217,
                0.9998601779259803
            ],
            [
                0.9978172837980599,
                0.9046505318875316,
                0.0006263340709214004,
                0.9820137926369572,
                0.9959298613742847,
                0.9796676443941232,
                0.0006263341488914634,
                0.9986749778354264,
                0.9626731095770201,
                0.9953904279039534
            ],
            [
                0.9999687980737504,
                0.9978172832935014,
                0.9993736659791398,
                0.9999599362934862,
                0.9959298621236586,
                0.9995694429124753,
                0.999891103038858,
                0.9994472212540602,
                0.9999724642957752,
                0.9999151889789105
            ],
            [
                0.9947798735278065,
                0.00013982202373365993,
                0.991422512637996,
                0.9840936059848067,
                0.9669140222071803,
                0.0015011819588684775,
                0.0017007220186979863,
                0.0011695104577529162,
                0.9399133536130195,
                0.9902915225694081
            ],
            [
                0.9968273177009441,
                0.9982992772934681,
                0.9964063981555654,
                0.00020342699736100405,
                0.0010322309258346614,
                0.9626731101124724,
                0.9988304896046664,
                0.9933071484070347,
                0.9998766054693604,
                0.0011695102094357345
            ],
            [
                0.8175744828610095,
                8.481107156496966e-05,
                0.9902915238319139,
                5.829126549573962e-05,
                0.9980732653176436,
                0.8933094053442511,
                0.9149009526726544,
                0.98201378585969,
                1.4738976699427788e-05,
                7.484622701235968e-05
            ],
            [
                0.00029595716866612996,
                0.9998204720341847,
                0.9999485577679644,
                0.9998415638209662,
                0.9959298620424922,
                0.9993736658975262,
                0.9820137881955445,
                0.9999151889182682,
                0.9999339478711399,
                0.9999417087066845
            ],
            [
                0.9995121427639122,
                0.9999485577863476,
                0.9994472212551214,
                0.9991959139608301,
                0.9994472213864555,
                0.9996200154253311,
                0.9988304895980029,
                0.9999339478238508,
                0.9999417087483918,
                0.9998911030388207
            ],
            [
                0.9999417087344838,
                0.9770226312608024,
                0.9994472213207883,
                0.9947798751237665,
                0.9978172834557715,
                0.9947798750197874,
                0.9999339478710831,
                0.9988304895892995,
                0.9982992777073544,
                0.9999339478710932
            ],
            [
                0.9988304894595653,
                0.7772998508568416,
                0.9968273175271646,
                0.999620015424535,
                0.996827316467551,
                0.9324533036984185,
                0.9947798740622114,
                0.9992903294538638,
                0.8807970748488297,
                0.9859363759527027
            ],
            [
                0.9995694429619008,
                0.9999810748472509,
                0.9999785550490321,
                0.999941708748388,
                0.9999417087553695,
                0.999988521234612,
                0.9989677688033473,
                0.9999687980960721,
                0.9997388096606815,
                0.9999810748495074
            ],
            [
                0.9626731085061155,
                0.966914018631874,
                0.996827316467551,
                0.00012339454502984816,
                0.9770226297554521,
                0.9997040427953574,
                0.9840936047602254,
                0.9669140200619966,
                5.82912932959289e-05,
                0.00026119030790903
            ],
            [
                0.999820472055543,
                0.9999810748562726,
                0.9998415638212313,
                0.9980732653424931,
                0.9999151889283764,
                0.9998204720983982,
                0.9998766053664029,
                0.9999687980849105,
                0.9999485577618152,
                0.9995694429635666
            ],
            [
                0.9859363708518423,
                0.9579122674284875,
                0.9465966717067252,
                0.9933071500353953,
                0.9579122696813394,
                0.962673109443157,
                0.0003799845157136324,
                0.9875683504502839,
                0.9968273177252438,
                0.0009110511013645288
            ],
            [
                0.9669140180359896,
                0.9975273763443169,
                0.9579122729855218,
                0.9994472214539232,
                0.9964063968424972,
                0.9997694932024248,
                0.9990889489950624,
                0.9902915226768554,
                0.9149009625340366,
                0.9998415637264352
            ],
            [
                0.0003799845243363785,
                0.9997040427950904,
                0.9953904279958274,
                0.9995694429090684,
                0.9971990724599514,
                0.9924227583819699,
                0.9579122720843811,
                0.9990889486551838,
                0.9579122759893238,
                0.9978172831804194
            ],
            [
                0.8354835350552603,
                0.9840936063055303,
                0.946596671895044,
                0.880797085800514,
                0.880797076413356,
                0.9988304894595653,
                0.9525741268224333,
                0.9902915253630378,
                6.605216826132997e-05,
                0.9953904288397862
            ],
            [
                0.9953904271518684,
                0.9579122729855218,
                0.001501182232830729,
                0.9953904273548458,
                0.00010889694794964988,
                0.9796676463234238,
                0.9997965729541156,
                0.9995694429124753,
                0.9875683502673407,
                0.8933093954028816
            ],
            [
                0.9465966749081429,
                0.9940889306484886,
                0.9986749776906209,
                0.9978172834329522,
                0.9998766053957971,
                0.9992903297033537,
                0.9324533107374444,
                0.999876605425161,
                0.9995694430143824,
                0.9947798742097168
            ],
            [
                0.997817283744815,
                0.9996646498899543,
                0.9997040429356038,
                0.9988304895873956,
                0.9999785550464791,
                0.9902915227663949,
                0.9995694429613496,
                0.9984988178720428,
                0.9992903297062846,
                0.9959298615007534
            ],
            [
                0.9999756997650636,
                0.9982992775010042,
                0.8354835350552604,
                0.00043055703680911444,
                0.9995121428230627,
                0.9992903296198464,
                4.006367780569929e-05,
                0.0009110512997285608,
                0.0004305570330013735,
                0.8933094152856197
            ],
            [
                0.8670357580842941,
                0.9820137925711585,
                0.00037998452770809335,
                0.9975273769455869,
                0.0002959570624243955,
                0.0003799845657366177,
                0.8933094103149354,
                0.9669140194661122,
                0.6791787056691698,
                0.993307149967289
            ],
            [
                0.9465966696352197,
                0.7310585669110202,
                0.9998204720768361,
                0.999738809659496,
                0.0035936029349063767,
                0.8933094067644466,
                0.9241418152779358,
                0.9999339478238272,
                0.8670357718273068,
                0.9924227577236517
            ],
            [
                3.12019002110123e-05,
                0.000911051207275234,
                0.0008040859347874415,
                0.0006263342471556177,
                4.5397852355660356e-05,
                0.0003799844800176762,
                0.0009110513782476688,
                0.7549149868676283,
                0.9626731143960903,
                0.9525741308615412
            ],
            [
                0.9890130593225599,
                0.7772998663336157,
                0.9998911031296703,
                0.0015011824689269006,
                0.0006263341654327772,
                0.0015011824012215642,
                0.0003799845390945407,
                0.7772998560157665,
                0.00010889688309980203,
                0.0021827168606552154
            ],
            [
                0.798186768138228,
                0.9465966713300878,
                0.9990889487640086,
                0.00012339461872048888,
                0.979667646768647,
                0.00033535002786503314,
                0.00017952798664348712,
                0.9982992779558046,
                6.605217614445361e-05,
                0.9706877693016416
            ],
            [
                0.9982992776947046,
                0.996827317080934,
                0.999796573002346,
                0.9993736658206491,
                0.999373665895996,
                0.9997388096284439,
                0.998830490003932,
                0.9989677689152278,
                0.999972464312183,
                0.9924227586971223
            ],
            [
                0.00033535018646018593,
                5.144220746454321e-05,
                0.00015843619767583143,
                0.9964063975169558,
                9.610246051763623e-05,
                0.00013982209027259192,
                0.8670357649558006,
                0.0001795279007763885,
                0.0001398220739160594,
                0.7981867801399695
            ],
            [
                0.9933071494874489,
                0.9991959141484099,
                0.9796676456555891,
                0.8933093968230773,
                0.00017952798682632757,
                0.999891103038808,
                0.99719907270447,
                0.9669140203003503,
                0.9971990736435248,
                0.9982992779206225
            ],
            [
                0.9999599363173692,
                0.9975273770397687,
                0.9875683476832692,
                0.9996646497298176,
                0.9997040427951766,
                0.9914225140714955,
                0.9992903296191034,
                0.9995121427655299,
                0.9994472213295353,
                0.9579122758391339
            ],
            [
                0.992422759530525,
                0.9924227579897804,
                0.999841563802036,
                0.9992903296457697,
                0.9149009526726544,
                0.9999485577618328,
                0.0017007227409235716,
                0.9995694430138188,
                0.9959298630768921,
                0.00043055702300605364
            ],
            [
                0.9998415637077331,
                0.8670357512127872,
                0.9990889489836183,
                0.9996646500115032,
                0.9988304897205296,
                0.9994472212549605,
                0.9890130547989354,
                0.0013250225242768883,
                0.7310585727705126,
                0.9996646500101373
            ],
            [
                0.0021827164681644112,
                0.9902915226589475,
                0.00103223101910843,
                0.00043055703653355426,
                0.00043055715835623186,
                9.610246069662382e-05,
                0.00037998457408299494,
                0.0035936028373641667,
                0.9994472214577501,
                0.0008040860226146085
            ],
            [
                0.9971990730140199,
                0.0010322308084321692,
                0.0008040860156931915,
                0.9875683493526253,
                0.8807970732843033,
                0.0010322308270389027,
                0.0006263340758400723,
                0.001501182064788909,
                4.539785237613882e-05,
                0.7981867873410141
            ],
            [
                0.9991959141471471,
                0.9997694933410333,
                0.9989677689386363,
                0.9964063980196732,
                0.9993736657505126,
                0.9975273764798467,
                0.9997040430070916,
                0.9740426423312599,
                0.9953904270578577,
                0.9933071477785989
            ],
            [
                0.9875683475574958,
                0.999915188968877,
                0.9980732652345882,
                0.9999687980811879,
                0.9959298618990352,
                0.9975273766756758,
                0.9993736658235275,
                0.9994472212598166,
                0.003172682743813737,
                0.9992903297242822
            ],
            [
                0.9241418178895029,
                0.8933094060543488,
                0.979667648920559,
                0.9399133456181841,
                0.00017952790006853497,
                0.9953904268356508,
                0.9669140191085815,
                8.481106138460176e-05,
                0.9995121428837458,
                0.0005527785842163692
            ],
            [
                0.7310585786300049,
                0.9046505338155469,
                0.9999485577679469,
                0.9964063975077851,
                0.0004878572306383174,
                0.9241418246795768,
                0.0011695103912539506,
                0.00015843623436746272,
                0.00017952796464516522,
                0.00012339461848169986
            ],
            [
                0.9399133544545811,
                0.6224593312018546,
                9.610238041093959e-05,
                0.8354835289107309,
                0.9820137930646488,
                0.00037998452740961374,
                0.9959298629202221,
                0.0006263341003241285,
                0.8933094131553264,
                0.00013982202386386111
            ],
            [
                0.8933093975331752,
                0.9399133456181841,
                0.7981867777396212,
                0.9875683515822442,
                0.9968273170220256,
                0.9998415637643508,
                2.1444948400318094e-05,
                0.0015011819302507676,
                0.9997388095973233,
                0.9988304897451437
            ],
            [
                0.9968273169837353,
                0.9999546021151483,
                0.9988304897632303,
                0.9978172840247309,
                0.9998911030648404,
                0.9964063969050243,
                0.999841563726774,
                0.999820471991165,
                0.9840936099501165,
                0.9993736657493467
            ],
            [
                0.8519528076067262,
                0.9986749778559149,
                0.8519527963298947,
                0.001700722546234926,
                0.9968273176140543,
                0.9525741281688026,
                0.9796676458782005,
                0.9986749777659505,
                0.0007096704564370363,
                0.9993736659029914
            ],
            [
                0.994088931764893,
                0.9984988175228717,
                0.9997040429008672,
                0.9999038975392132,
                0.999860177859604,
                0.9999646437408665,
                0.9706877678706985,
                0.9995694430128043,
                0.9990889489828236,
                0.9998911031297852
            ],
            [
                0.9579122698315294,
                0.9840936070344476,
                0.9770226301317897,
                0.9991959141506546,
                0.9890130583814033,
                0.005911068467691284,
                0.7981867753392728,
                0.0017007225877421481,
                0.880797081106935,
                0.0028009267915359215
            ],
            [
                0.9999687980923607,
                0.9998601779593056,
                0.0005527785321201488,
                0.9999599362887123,
                0.9975273768835647,
                0.9975273763626936,
                0.997199073243581,
                0.0009110511930231173,
                0.9241418236349501,
                0.9980732651298173
            ],
            [
                0.9997694931749592,
                0.9998766054545571,
                0.999373665982091,
                0.997527376387962,
                0.9999546021367759,
                0.999925153746002,
                0.9996200155596138,
                0.9998911031037506,
                0.9992903296188558,
                0.9996646497311737
            ],
            [
                0.9859363698574971,
                0.9902915250765117,
                0.9465966647389334,
                0.9998415637834425,
                0.9840936085797521,
                0.9999417087275358,
                0.9924227580668177,
                0.0009110512694229421,
                0.001501182388832186,
                0.9995694429112603
            ],
            [
                0.9991959141503273,
                0.9525741261492485,
                0.9840936063930004,
                0.8933094067644466,
                0.9947798736704757,
                0.9998415638398226,
                0.9988304898714782,
                0.9992903294581156,
                0.9968273173106765,
                0.9890130551328943
            ],
            [
                0.9740426418132223,
                0.9997694932031357,
                0.9996646497300419,
                0.9933071498960869,
                0.9996646499312641,
                0.9740426455807681,
                0.9975273773659591,
                0.00020342706770894238,
                0.9924227602413683,
                0.979667648438234
            ],
            [
                0.997199072463203,
                7.484622703686386e-05,
                0.9999151889485612,
                0.7772998663336158,
                0.9994472214580716,
                0.9579122749379931,
                0.9999251537727469,
                0.5926665999540698,
                0.9988304895913394,
                0.9465966762263736
            ],
            [
                0.9959298617234892,
                0.9706877706265887,
                0.0019267346109420676,
                0.8519528038477824,
                0.9324533149608596,
                0.8354835411997897,
                0.8670357615200474,
                0.0009110512421902715,
                0.0013250221887592217,
                0.6513548646660543
            ],
            [
                0.9579122750881832,
                0.9998911031166918,
                0.962673111584966,
                0.9999810748585273,
                0.9989677688011864,
                0.9998204720981632,
                0.9995694429099702,
                0.9933071499920549,
                0.996827316588313,
                0.9999038975735949
            ]
        ]
    },
    {
        "q_id": "10694_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999997438716568,
                0.9999984465028011,
                0.9999967112509351,
                0.9999977396765106,
                0.9999992661786695,
                0.9999977396762411,
                0.9999996072138934,
                0.9999977396746244,
                0.9999987901337396,
                0.9999967112497586
            ],
            [
                0.9999756997650643,
                0.9999967112497586,
                0.9999885212332426,
                0.9999980052700408,
                0.9999957771680659,
                0.9999646437492937,
                0.9999724643121979,
                0.9999687980849118,
                0.9999898700102283,
                0.9999970976866309
            ],
            [
                0.9999995549149481,
                0.9999993524052789,
                0.9999987901341723,
                0.9999967112501507,
                0.9999982396572065,
                0.9999970976866309,
                0.9999945777829696,
                0.9999986290424663,
                0.9999982396563671,
                0.9999974387171787
            ],
            [
                0.9999785550464806,
                0.99998526101803,
                0.9999724642990576,
                0.9859363700253735,
                0.9999832985701931,
                0.9999852610110015,
                0.9999810748449967,
                0.9999724643154765,
                0.9999599363221765,
                0.9995694430158856
            ],
            [
                0.9999986290423029,
                0.9999993524052019,
                0.9999982396572065,
                0.9999980052700408,
                0.999999266178757,
                0.9999967112513267,
                0.9999986290429566,
                0.9999962733598277,
                0.9999992661786695,
                0.9999986290432834
            ],
            [
                0.9999974387171787,
                0.999998005269803,
                0.999998239656367,
                0.9999898700066059,
                0.9999987901346049,
                0.9999993524051246,
                0.9999898700126436,
                0.9999984465020603,
                0.9999930377420909,
                0.9999986290427931
            ],
            [
                0.9999921107345933,
                0.99994170874144,
                0.9999962733611604,
                0.9999485577679585,
                0.999959936298279,
                0.9999485577986525,
                0.9999898700126433,
                0.9999938558253983,
                0.9999832985721865,
                0.9999921107374159
            ],
            [
                0.9999982396561572,
                0.9999982396574163,
                0.9999980052705164,
                0.9999991684722697,
                0.9999991684721706,
                0.9999994956527721,
                0.9999970976887069,
                0.9999996533672549,
                0.9999994284992805,
                0.9999962733607163
            ],
            [
                0.9999898700078172,
                0.9999756997476845,
                0.9999957771660523,
                0.9999970976873235,
                0.9999980052702786,
                0.9999980052707541,
                0.9999974387187053,
                0.9999938558239336,
                0.9999921107392962,
                0.9999980052705164
            ],
            [
                0.9999989322972572,
                0.9999921107392972,
                0.9999945777823233,
                0.9999852610110019,
                0.9999832985781587,
                0.9999977396746245,
                0.9999921107336527,
                0.9999982396569966,
                0.9999952149037947,
                0.9999987901347491
            ],
            [
                0.9999986290426297,
                0.9999994956525317,
                0.9999986290426297,
                0.999999352405279,
                0.9999987901337396,
                0.9999989322967481,
                0.9999984465024306,
                0.9999986290426298,
                0.9999957771675623,
                0.9999986290427931
            ],
            [
                0.9999984465026158,
                0.9999980052700407,
                0.9999986290429567,
                0.9999970976873229,
                0.9999967112509348,
                0.9999994956526519,
                0.999997097688015,
                0.9999982396561572,
                0.9999991684722698,
                0.9999869928699864
            ],
            [
                0.9999984465016899,
                0.9999977396748938,
                0.9999986290432834,
                0.9999984465022455,
                0.99998526101803,
                0.9999989322970027,
                0.9999962733593832,
                0.9999977396757023,
                0.9999921107392955,
                0.9999980052705164
            ],
            [
                0.9999898700102283,
                0.9999885212359824,
                0.9999962733598278,
                0.999993037741261,
                0.9999810748562803,
                0.9999785550567057,
                0.9999957771680656,
                0.9999599363221586,
                0.9999898700053984,
                0.9999646437450925
            ],
            [
                0.9999996533674202,
                0.9999989322972572,
                0.9999990577550691,
                0.9999994284994167,
                0.9999990577556308,
                0.9999984465026158,
                0.9999994284995529,
                0.9999989322968754,
                0.9999994956525317,
                0.9999993524054335
            ],
            [
                8.939699500766203e-06,
                1.0129989772274546e-05,
                3.12019225291377e-05,
                7.484622725304513e-05,
                0.9669140213729422,
                2.4300249418927004e-05,
                1.670141985245514e-05,
                0.962673109309294,
                2.7535687815134722e-05,
                3.2887490653872164e-06
            ],
            [
                0.9999995549150011,
                0.9999996072136592,
                0.9999996533673788,
                0.9999996940978095,
                0.9999992661786696,
                0.9999962733611601,
                0.9999996072137998,
                0.9999945777810306,
                0.9999990577556308,
                0.9999994284994167
            ],
            [
                0.999999266178757,
                0.999998446502801,
                0.9999990577557432,
                0.9999984465018752,
                0.9999991684721706,
                0.9999974387165681,
                0.99999893229713,
                0.9999994284994167,
                0.999996711252111,
                0.9999987901341723
            ],
            [
                0.9999995549151073,
                0.9999945777810305,
                0.9999989322968754,
                0.9999952149060763,
                0.9999970976869771,
                0.9999986290429567,
                0.9999984465026159,
                0.9999995549150011,
                0.9999986290424664,
                0.9999980052695652
            ],
            [
                0.9999984465015047,
                0.999999554914789,
                0.9999990577549568,
                0.9999982396574163,
                0.9999986290429566,
                0.9999982396574162,
                0.999998446502801,
                0.9999980052700409,
                0.9999993524050474,
                0.9999980052693274
            ],
            [
                0.9999986290426297,
                0.9999980052695652,
                0.9999996072137998,
                0.9999990577551815,
                0.9999993524050474,
                0.9999974387171789,
                0.9999986290426298,
                0.9999967112509347,
                0.9999994956524115,
                0.9999991684721706
            ],
            [
                0.9999832985721853,
                0.9999898700102295,
                0.9999832985821435,
                0.9999151889789025,
                0.9999646437450943,
                0.9999687980998037,
                0.9999756997476879,
                0.9999977396748938,
                0.9999952149043646,
                0.9999546021421969
            ],
            [
                0.9999987901337396,
                0.9999852610197869,
                0.999995214903224,
                0.9999885212359839,
                0.9999967112493665,
                0.9999957771670589,
                0.9999957771660523,
                0.9999945777790914,
                0.9999962733607161,
                0.999664649890969
            ],
            [
                0.9999974387184001,
                0.9999987901341724,
                0.9999885212291393,
                0.9999967112505438,
                0.9999987901338838,
                0.9999910603004999,
                0.9999251537639804,
                0.9999992661792819,
                0.9999930377429209,
                0.9999930377454117
            ],
            [
                0.999997097686977,
                0.9999977396759717,
                0.9999986290427931,
                0.9999986290432835,
                0.9999984465018751,
                0.9999967112501508,
                0.9999994284994849,
                0.9999992661790195,
                0.9999986290423029,
                0.9999994284994167
            ],
            [
                0.9995694430127166,
                0.9968273176000636,
                0.9996200154241814,
                0.999891103038896,
                0.9991959139519445,
                0.9999339478238761,
                0.9996200154238939,
                0.9975273769863607,
                0.9988304898654946,
                0.9999546021421827
            ],
            [
                0.9999898700102287,
                0.9999756997476862,
                0.9999921107364748,
                0.9999945777829696,
                0.9999945777803844,
                0.9999974387187053,
                0.999997438716568,
                0.9999810748585323,
                0.9999756997505828,
                0.999991060305828
            ],
            [
                0.9999989322970027,
                0.9999984465022455,
                0.9999992661791071,
                0.9999994284992805,
                0.9999984465024307,
                0.9999982396561572,
                0.9999986290427931,
                0.9999987901338838,
                0.9999984465018751,
                0.9999990577550691
            ],
            [
                0.9999967112521111,
                0.9999989322975118,
                0.9999986290429566,
                0.9999957771675626,
                0.999997097688015,
                0.9999984465018751,
                0.9999962733607161,
                0.999997097686977,
                0.9999982396572067,
                0.9999982396565769
            ],
            [
                0.9999945777803838,
                0.9999980052707541,
                0.9999910603068933,
                0.9999962733611603,
                0.9999417087136648,
                0.9998601779760934,
                0.9999898700066057,
                1.4738976700366126e-05,
                0.9999977396754327,
                0.9999987901343165
            ],
            [
                0.9994472213221391,
                0.9999952149037942,
                0.9999938558253983,
                0.9999994284992805,
                0.9999832985701943,
                0.9999785550413645,
                0.9991959142549903,
                0.9999810748427396,
                0.9999898700078145,
                0.9999930377412608
            ],
            [
                0.9988304894716684,
                0.9997388097533365,
                0.9984988175326436,
                0.9996200155152066,
                0.9991959139637295,
                0.9991959142454031,
                0.997527376690607,
                0.9997388095983036,
                0.9996200154713191,
                0.9980732653765212
            ],
            [
                0.9999957771660524,
                0.9999993524053563,
                0.9999957771655488,
                0.9999962733620488,
                0.9999980052707541,
                0.9999970976876689,
                0.9999980052693274,
                0.9999986290426298,
                0.9999938558261309,
                0.9999945777810303
            ],
            [
                0.9998766054545571,
                0.9996200154262044,
                0.9997965729784409,
                0.9995694428597932,
                0.9998911030519949,
                0.9997965729789262,
                0.9999151889485693,
                0.9999832985801475,
                0.9994472213873559,
                0.9999339478238315
            ],
            [
                0.9999852610145155,
                0.9999724643023452,
                0.9999785550413627,
                0.9999724643154692,
                0.9999930377462403,
                0.9999810748585295,
                0.9999982396572064,
                0.9999970976890529,
                0.9999785550464758,
                0.9999832985701924
            ],
            [
                0.999796573050908,
                0.9999646437366535,
                0.9999952149066461,
                0.999996273360716,
                0.999972464315471,
                0.9999832985801471,
                0.9999646437450808,
                0.9999898700066053,
                0.9999921107374158,
                0.9999756997476821
            ],
            [
                0.9999785550464758,
                0.9999485577924853,
                0.9996646497699858,
                0.9999599362934879,
                0.9999687980960786,
                0.9999832985741741,
                0.9999339478238608,
                2.4300252320622747e-05,
                0.9996200154244688,
                0.9997694932304871
            ],
            [
                0.9999986290421394,
                0.9999869928668843,
                0.9999982396567867,
                0.9999945777803839,
                0.9999980052709919,
                0.9999952149037941,
                0.9999938558268628,
                0.9999898700102283,
                0.9999987901337396,
                6.962254589781966e-06
            ],
            [
                0.9999921107383568,
                0.9999977396757022,
                0.9999962733611603,
                0.9999957771655488,
                0.9999930377412614,
                0.9999910603068939,
                0.9999869928715366,
                0.9999982396567868,
                0.9999967112517189,
                0.9999970976883608
            ],
            [
                0.9999869928761901,
                0.9999485577679555,
                0.999985261016272,
                0.9999251537816801,
                0.9999417087066769,
                0.9999785550465053,
                0.9997965730509908,
                0.999925153737126,
                0.9999251537995338,
                0.9999989322975118
            ],
            [
                0.9999910603015649,
                0.9999724643121931,
                0.9999869928699864,
                0.9999957771655488,
                0.9999910603026306,
                0.9999885212305069,
                0.9999957771665555,
                0.999988521233244,
                0.9999646437408763,
                0.9998415637642979
            ],
            [
                0.9999977396746244,
                0.999964643757755,
                0.9999251537549547,
                0.9999991684718732,
                0.9999852610215443,
                0.9999980052700408,
                0.9999945777823257,
                0.9999957771645421,
                0.9999984465026158,
                0.999996273360272
            ],
            [
                0.9996646497707762,
                0.9999832985821396,
                0.999820472055611,
                0.9999485578047611,
                0.9999339478239027,
                2.7535681252300143e-05,
                0.9997388097219424,
                0.9995694430141946,
                0.9999339478710831,
                0.9999785550439235
            ],
            [
                0.9999990577551814,
                0.9999921107364742,
                0.9999945777810306,
                0.9999974387187054,
                0.9999852610145177,
                0.9999910603004999,
                0.9999910603058279,
                0.9999967112509347,
                0.9999957771650454,
                0.9999989322975118
            ],
            [
                0.99408893212061,
                0.9959298619802016,
                0.9984988178589553,
                0.0001795279658832564,
                0.9840936108539737,
                0.9959298622727784,
                0.9968273167709288,
                0.9988304900059719,
                0.9324533027598817,
                0.9998601778594738
            ],
            [
                0.9999945777803839,
                0.9999984465018751,
                0.9999977396748939,
                0.9999945777784451,
                0.9999990577555185,
                0.9999989322975118,
                0.9999967112505427,
                0.9999930377437511,
                0.9999952149032244,
                0.9999987901347491
            ],
            [
                0.999998005270992,
                0.9999984465024306,
                0.9999974387180947,
                0.9999987901347491,
                0.9999986290424664,
                0.999998239656367,
                0.9999990577556308,
                0.9999974387165681,
                0.9999984465026158,
                0.999983298574177
            ],
            [
                0.9999930377445805,
                0.9999852610162717,
                0.9999970976880149,
                0.9999952149072167,
                0.9999151889486347,
                0.9999970976866309,
                0.999985261016272,
                0.9999930377404312,
                0.9999970976880148,
                0.9999810748585286
            ],
            [
                0.9999756997621728,
                0.9999251537817176,
                0.9999038975736445,
                0.9999251537906448,
                0.999975699759271,
                0.999933947878971,
                0.9999957771680656,
                0.9999417087275401,
                0.9998601779092962,
                0.9996200154253311
            ],
            [
                0.9999417087414357,
                5.422218323487975e-06,
                0.999994577780384,
                0.9998415637644292,
                0.9999417087275401,
                5.422217677078203e-06,
                0.9998911031297456,
                0.9999687980886347,
                0.9990889488850192,
                0.9996200155143443
            ],
            [
                0.9999852610232997,
                0.9999852610127595,
                0.9999967112501505,
                0.9999910603068933,
                0.9999810748495068,
                0.999997097687669,
                0.9999852610110015,
                0.9999910603036964,
                0.9999810748449929,
                0.9999910603047621
            ],
            [
                0.9999993524053562,
                0.9999921107336525,
                0.9999993524051246,
                0.9999993524051246,
                0.9999977396762411,
                0.9999987901337396,
                0.9999938558239333,
                0.9999992661792819,
                0.9999990577549568,
                0.9999990577550691
            ],
            [
                0.9999785550464765,
                0.9997040429374809,
                0.9999921107383555,
                0.9999151889485539,
                0.999903897585039,
                0.9997388096908217,
                0.9997388096907535,
                0.9999251537549112,
                0.9999687980923503,
                0.9998766054545734
            ],
            [
                0.999996273358939,
                0.9999984465020603,
                0.9999977396746245,
                0.9999921107383554,
                0.9999974387168734,
                0.9999994956524716,
                0.9999990577554061,
                0.9999986290424663,
                0.9999989322972572,
                0.9999756997650652
            ],
            [
                0.9990889488813104,
                0.9978172839948124,
                0.9940889315240998,
                0.9980732656742674,
                0.9953904278889971,
                0.9820137918144735,
                0.9994472214512541,
                0.9989677687899025,
                0.9890130592112404,
                0.9953904280577889
            ],
            [
                0.9999910603036973,
                0.9999417087136211,
                0.9999952149037942,
                0.9999977396751633,
                0.9999957771650453,
                0.9999687980886359,
                0.9999910603026305,
                0.9999756997650652,
                0.9999546021205397,
                0.9999038975392328
            ],
            [
                0.9999986290431201,
                0.9999993524049703,
                0.9999993524050473,
                0.999997438716568,
                0.9999980052707541,
                0.9999987901341724,
                0.9999989322967482,
                0.9999977396748938,
                0.9999992661791945,
                0.9999977396759716
            ],
            [
                0.9999910602994343,
                0.9999687980960685,
                0.999933947878961,
                0.9999599363078219,
                0.99999893229713,
                0.9998204720768021,
                0.9999832985801475,
                0.9999945777823231,
                0.9999724642957752,
                0.9999852610127603
            ],
            [
                0.9999986290423029,
                0.9999885212277702,
                0.9999921107402364,
                0.9999885212359798,
                0.999998790134028,
                0.9999990577551815,
                0.9999898700041914,
                0.9999546021367908,
                0.9999986290429567,
                0.9999980052707541
            ],
            [
                0.9999852610110026,
                0.9999987901341723,
                0.9999957771670591,
                0.9999980052693274,
                0.9999967112493665,
                0.9999952149049351,
                0.9999986290426298,
                0.9999930377454112,
                0.9999991684717742,
                0.9999980052707541
            ],
            [
                0.9999910603026309,
                0.9999962733593833,
                0.9999785550413645,
                0.999981074854021,
                0.9999885212359804,
                0.9999957771675625,
                0.9999599362935055,
                0.999997097687669,
                0.9999952149049351,
                0.9999921107374152
            ],
            [
                0.9999921107355338,
                0.9999982396569965,
                0.9999921107336524,
                0.9999977396757022,
                0.9999945777784451,
                0.9999810748540162,
                0.9999977396748938,
                0.9999974387168733,
                0.9999970976869769,
                0.999997097686631
            ],
            [
                0.9971990729366325,
                0.9999984465022455,
                0.9999994956526519,
                0.999996273360272,
                0.9999952149066462,
                0.9999898700090208,
                0.9999756997563729,
                0.9999938558253983,
                0.9999967112493665,
                0.9997040427604572
            ],
            [
                0.9999599363173749,
                0.9999967112501505,
                0.9999898700078149,
                0.9999952149055055,
                0.9999984465015047,
                0.9999952149060761,
                0.9999982396572065,
                0.999986992876188,
                0.9999977396746244,
                0.9999957771675625
            ],
            [
                0.9999980052695652,
                0.9999982396565767,
                0.9999980052702785,
                0.999997097687669,
                0.999998239656367,
                0.9999989322970028,
                0.9999997617631752,
                0.99999893229713,
                0.9999974387180947,
                0.9999993524050474
            ],
            [
                0.9999984465020603,
                0.9999967112505427,
                0.00010889694787676351,
                0.9999974387171787,
                0.9999974387184,
                0.9999970976890529,
                0.999999057755069,
                0.9999977396765105,
                0.997817283156079,
                0.9999992661790196
            ],
            [
                0.9999756997505828,
                0.9999957771670589,
                0.9999980052702786,
                0.9999967112513267,
                0.9999980052709919,
                0.9999957771680659,
                0.9999977396759718,
                0.9999980052700407,
                0.9999962733607163,
                0.9999869928668857
            ],
            [
                1.300713466619476e-05,
                2.4300252317882297e-05,
                4.7850950649408664e-06,
                9.610243732895915e-05,
                6.962257909501028e-06,
                1.473898021457511e-05,
                2.260324567302214e-06,
                0.9840936098626464,
                0.8933094046341532,
                1.3007130014873483e-05
            ],
            [
                0.999999266179107,
                0.9999986290431201,
                0.9999938558253989,
                0.999997438716568,
                0.9999921107402364,
                0.9999980052707544,
                0.9999987901343165,
                0.9999977396748939,
                0.9999991684717742,
                0.9999967112497586
            ],
            [
                0.9999957771680658,
                0.9999885212264021,
                0.9999962733602719,
                0.9999945777816769,
                0.9999930377445806,
                0.9999832985741748,
                0.9999938558261307,
                0.9999987901344608,
                0.999998790134605,
                0.9999930377404312
            ],
            [
                0.9999962733607164,
                0.999998629042303,
                0.9999977396765105,
                0.9999930377412608,
                0.9999994284996211,
                0.9999967112505427,
                0.9999957771675625,
                0.9999984465028011,
                0.9999967112493665,
                0.9999984465018751
            ],
            [
                0.9999898700126446,
                0.9999967112497586,
                0.9999987901346049,
                0.9999962733611618,
                0.9999984465020603,
                0.9999898700078138,
                0.9999982396574163,
                0.9999967112493665,
                0.9999962733607161,
                0.9999485577925318
            ],
            [
                0.9999898700114365,
                0.9999910603004994,
                0.999978555059262,
                0.9999986290426297,
                0.9999910603005,
                0.9999646437535161,
                0.9999930377462409,
                0.999993037746241,
                0.9999869928761898,
                0.9999921107345939
            ],
            [
                0.9999994284997573,
                0.9999982396569966,
                0.9999974387168734,
                0.9999974387187053,
                0.9999991684717742,
                0.9999930377462409,
                0.9999962733616047,
                0.9999982396574163,
                0.9999957771655491,
                0.9999986290429567
            ],
            [
                0.9999967112497586,
                0.9999898700090213,
                0.9999977396765105,
                0.9999982396561571,
                0.9999986290421394,
                0.9999977396751634,
                0.999998790134028,
                0.9999945777829696,
                0.9999952149037947,
                0.9999984465018751
            ],
            [
                0.9999832985821387,
                0.9999687980997952,
                0.9999724643056221,
                0.9999921107392955,
                0.999988521231877,
                0.9999957771670589,
                0.9999724643089034,
                0.9999938558275957,
                0.9999885212305073,
                0.9999962733607161
            ],
            [
                0.9999967112521109,
                0.999997438716568,
                0.9999687980886537,
                0.9999930377462404,
                0.9999967112521108,
                0.9999967112521109,
                0.9999885212359807,
                0.999997438717484,
                0.9999982396559473,
                0.9999930377412606
            ],
            [
                0.9999970976869771,
                0.9999990577555185,
                0.9999977396751633,
                0.9999962733616046,
                0.999992110739296,
                0.9999989322970027,
                0.999999168471675,
                0.9999898700090213,
                0.9999991684721706,
                0.9999970976883609
            ],
            [
                0.9999930377437506,
                0.9999885212305071,
                0.9999885212359809,
                0.99997855505926,
                0.9999977396748938,
                0.9999599363030631,
                0.9999687980811913,
                0.9999885212277699,
                0.9999724643154692,
                0.9999945777797377
            ],
            [
                0.999998790134028,
                0.9999986290431201,
                0.9999982396565769,
                0.999998005269803,
                0.9999810748562757,
                0.9999984465026159,
                0.9999977396754327,
                0.9999977396759716,
                0.9999987901346049,
                0.999997438716568
            ],
            [
                0.9999986290432835,
                0.9999977396746244,
                0.9999957771665555,
                0.9999980052693274,
                0.9999980052695652,
                0.9999921107402365,
                0.9999945777797377,
                0.9999962733611607,
                0.9999980052707541,
                0.9999952149037944
            ],
            [
                0.9999930377437527,
                0.9999967112517187,
                0.9999957771670589,
                0.9999967112517189,
                0.9999980052695654,
                0.9999945777816768,
                0.9999974387184,
                0.9999724643023419,
                0.9999952149055054,
                0.9998911030777808
            ],
            [
                0.9992903295393112,
                0.9988304895940591,
                0.9995694429615251,
                2.1444956081636468e-05,
                3.120190765193695e-05,
                0.9998766054545571,
                0.9990889486543891,
                0.99781728397605,
                0.9968273170470616,
                0.9953904279317293
            ],
            [
                0.9999984465020603,
                0.9999724643056231,
                0.9999945777790913,
                0.9999967112505427,
                0.9999984465015047,
                0.9999977396746245,
                0.999994577780384,
                0.9999898700041906,
                0.9999938558261305,
                0.9999991684722698
            ],
            [
                5.422218969661113e-06,
                1.9947299592824403e-06,
                0.9465966756614176,
                1.7603425837791042e-06,
                3.120190764467241e-05,
                0.9669140198236429,
                4.006370650260296e-05,
                3.7266379513434106e-06,
                8.939693106020111e-06,
                1.0129987357158383e-05
            ],
            [
                0.9999945777797381,
                0.9999952149055056,
                0.9999984465020603,
                0.9999984465016899,
                0.9999986290427931,
                0.9999938558261307,
                0.9999980052695652,
                0.9999962733611605,
                0.9999756997621694,
                0.9999967112497585
            ],
            [
                0.9999987901341723,
                0.9999993524049702,
                0.9999974387168733,
                0.9997965729545506,
                0.9999982396572065,
                0.9999989322973845,
                0.9999986290427931,
                0.9999990577552937,
                0.9999989322967481,
                0.9999994284993485
            ],
            [
                0.9999952149043648,
                0.9999989322975118,
                0.9999982396561572,
                0.999999168471675,
                0.9999945777790913,
                0.9999921107345938,
                0.9999930377429207,
                0.9999984465015047,
                0.9999987901341723,
                0.9999980052695652
            ],
            [
                0.9999038975736144,
                0.999620015425917,
                0.9999485577925108,
                0.9999038975507264,
                0.9999687980923515,
                0.999915188968851,
                0.9992903295410863,
                0.9999852610233005,
                0.9999646437619387,
                0.9998601778926528
            ],
            [
                0.9999980052700407,
                0.9999991684722698,
                0.9999980052702786,
                0.9999977396748939,
                0.999998629042303,
                0.9999967112521108,
                0.9999921107374147,
                0.9999991684715759,
                0.9999977396757022,
                0.9999982396563669
            ],
            [
                0.9241418189341297,
                0.9669140212537652,
                0.9149009538328171,
                0.9770226302572355,
                0.754914975839675,
                0.9465966726483187,
                0.9706877670227324,
                0.9706877678706985,
                0.9933071490973854,
                0.9324533093296393
            ],
            [
                5.1442238154113305e-05,
                2.56128159999123e-06,
                0.00017952800839628294,
                1.7603430034743913e-06,
                5.422217676925328e-06,
                2.7535681248693975e-05,
                0.0003353499890724067,
                1.892515726357648e-05,
                3.5356259136692605e-05,
                6.962258739271155e-06
            ],
            [
                0.9988304898635907,
                0.3208213073183839,
                0.9984988175151938,
                0.00026119021575565446,
                0.9933071486701729,
                6.962259569313662e-06,
                0.9940889314255936,
                0.9669140237564794,
                0.9994472212549605,
                0.9999038975622648
            ],
            [
                0.9997040429718298,
                0.9999599362887198,
                0.9999852610197855,
                0.999933947831744,
                0.9999921107355336,
                0.9999038976193724,
                0.9999930377429206,
                0.9998415637831796,
                0.9998204719698353,
                0.9999832985761709
            ],
            [
                0.9999980052707541,
                0.9999986290421394,
                0.9999980052700408,
                0.9999986290429566,
                0.9999980052707541,
                0.9999962733611601,
                0.9999980052702786,
                0.9999952149049355,
                0.9999974387168733,
                0.9999952149032237
            ],
            [
                0.9999980052700407,
                0.9999945777823234,
                0.9999989322966208,
                0.9999982396559474,
                0.999993037745411,
                0.9999962733602716,
                0.999997438717484,
                0.9999962733598275,
                0.9999996533673788,
                0.9999938558246662
            ],
            [
                6.144176799099397e-06,
                1.2098655392811161e-06,
                9.422444815628016e-07,
                1.6701423834226767e-05,
                2.56128282131428e-06,
                1.2098653950551882e-06,
                4.006368738143655e-05,
                1.3007126913820052e-05,
                4.222833444383398e-06,
                2.5612822107167428e-06
            ],
            [
                0.9999485577802075,
                0.9998911030517746,
                0.9999810748472489,
                0.9999898700126431,
                0.9998911030777682,
                0.9999687980812221,
                0.9999546021259581,
                0.9999151889384075,
                0.9995694428588788,
                0.999820472055645
            ],
            [
                0.9964063969292014,
                8.481106154688048e-05,
                1.0129993394959082e-05,
                1.8925141472360678e-05,
                1.0129992186939844e-05,
                1.300713156582635e-05,
                0.9998601779762439,
                3.53562675670136e-05,
                0.999569443013919,
                0.9993736659777552
            ],
            [
                0.999997438717484,
                0.9999970976880149,
                0.9999990577550691,
                0.9999974387184,
                0.9999970976866311,
                0.9999974387177893,
                0.9999987901343166,
                0.999993855826131,
                0.999998446502801,
                0.9999984465015047
            ],
            [
                0.9999756997592727,
                0.9999885212305079,
                0.9999832985721844,
                0.9999785550464814,
                0.9999977396765105,
                0.9997694932304335,
                0.9999962733598275,
                0.9999687980923541,
                0.9998911030519267,
                0.9998601779093775
            ],
            [
                0.999994577782971,
                0.9999980052700407,
                0.9999980052702786,
                0.9999990577554062,
                0.9999974387171787,
                0.9999957771665557,
                0.9999974387180947,
                0.9999885212264026,
                0.9999952149055054,
                0.9999938558224688
            ],
            [
                0.9999982396565769,
                0.9999992661786695,
                0.9999986290424663,
                0.9999852610110015,
                0.9999989322972572,
                0.9999885212346119,
                0.9999952149037944,
                0.9999930377412605,
                0.9999832985741757,
                0.9999945777797377
            ],
            [
                0.9999832985781578,
                0.9999945777803839,
                0.9999810748427385,
                0.9999957771665557,
                0.9999869928668851,
                0.9999832985721847,
                0.9999724642990586,
                0.9999967112493664,
                0.9999599362982768,
                0.9999646437366474
            ],
            [
                0.9999151889485612,
                0.0001088969351343231,
                0.9999599362982708,
                0.999983298576167,
                0.9997965730512482,
                0.9999945777829695,
                0.9999687980737588,
                0.9999339478474694,
                6.605217615406483e-05,
                0.9999251537995719
            ],
            [
                0.9999832985721882,
                0.9999952149055059,
                0.9999869928699859,
                0.999997097686631,
                0.9999930377412614,
                0.9999977396746245,
                0.9999980052702786,
                0.9999546021151355,
                0.9999957771680658,
                0.999998239656367
            ],
            [
                0.9999990577549568,
                0.9999982396574163,
                0.9999952149072172,
                0.999995214906076,
                0.9999977396748938,
                0.9999977396759716,
                0.999999168471675,
                0.9999982396565769,
                0.999998239656367,
                0.9999991684721706
            ],
            [
                0.9999977396754328,
                3.7266379512857925e-06,
                0.9999957771660524,
                0.9999945777810308,
                0.9999990577555185,
                0.9999984465020603,
                0.9999982396561572,
                0.9999982396567868,
                0.9999984465018751,
                0.9999898700090213
            ],
            [
                0.9999982396565769,
                0.9999938558261312,
                0.9999967112501505,
                0.9999921107392967,
                0.9999987901337397,
                0.9999990577551815,
                0.999998005269803,
                0.9999962733598278,
                0.9999977396765105,
                0.9999977396751634
            ],
            [
                0.999997097688707,
                0.9999986290429566,
                0.9999967112501507,
                0.9999996533674202,
                0.9999957771660526,
                0.9999980052695652,
                0.9999945777784451,
                0.999994577780384,
                0.999999352405279,
                0.999994577781677
            ],
            [
                1.1478764020560142e-05,
                2.561283432005142e-06,
                8.939700566143004e-06,
                1.892515500808112e-05,
                3.7266388397382506e-06,
                1.209865683518615e-06,
                6.144173136645595e-06,
                1.6701419853184244e-05,
                2.2603245673279107e-06,
                2.4300249421932663e-05
            ],
            [
                0.9999945777816769,
                0.9999898700078136,
                0.9999986290424664,
                0.999997097689053,
                0.9999984465015047,
                0.9999989322972572,
                0.9999987901338838,
                0.9999989322966208,
                0.9999992661790196,
                0.99999893229713
            ],
            [
                0.9999980052702785,
                0.9999982396574163,
                0.9999995549148419,
                0.999999266179107,
                0.9999996072137529,
                0.9999991684718732,
                0.9999980052695652,
                0.9999984465022455,
                0.9999970976880151,
                0.9999990577554061
            ],
            [
                0.9999930377437507,
                0.9999910603058306,
                0.9999957771655488,
                0.9999982396561571,
                0.9999962733598275,
                0.9999957771655487,
                0.9999251537906317,
                0.9999987901338838,
                0.9998601779595375,
                0.9999952149037941
            ],
            [
                0.9999974387187053,
                0.9999991684715759,
                0.9999970976873229,
                0.9999982396567867,
                0.9999984465016899,
                0.9999993524052018,
                0.9999982396565769,
                0.9999984465016899,
                0.9999986290429566,
                0.9999991684719723
            ],
            [
                0.9999986290429568,
                0.9999992661786696,
                0.9999974387165681,
                0.9999921107392965,
                0.9999687980737616,
                0.9999957771670602,
                0.9999984465026159,
                0.9999989322966208,
                0.9999984465022455,
                0.999997438717484
            ],
            [
                0.9999885212277702,
                0.9999957771660521,
                0.9999957771670591,
                0.9999921107392957,
                0.9999967112517189,
                0.9999970976866313,
                0.999769493257463,
                0.9999869928668863,
                0.9999980052700408,
                0.9999952149055059
            ],
            [
                0.9999852610197889,
                0.999997438717484,
                0.9999980052707541,
                0.9999997300422225,
                0.9999989322975118,
                0.9999989322966208,
                0.9999945777829699,
                0.9999885212359813,
                0.9999993524050473,
                0.9999980052705163
            ],
            [
                0.9999984465020604,
                0.999999057755743,
                0.9999977396765105,
                0.9999980052709918,
                0.9999990577551816,
                0.9999986290429567,
                0.9999982396565771,
                0.9999967112497585,
                0.9999994956527722,
                0.9999987901347492
            ],
            [
                0.9999952149055058,
                0.9999885212305079,
                0.9999962733589393,
                0.9999945777803846,
                0.9999957771675623,
                0.9999921107345937,
                0.9999957771660523,
                0.9999945777797378,
                0.9999910603068949,
                0.999997097686631
            ],
            [
                0.9999945777829704,
                0.9999982396559473,
                0.9999962733598275,
                0.9999982396567868,
                0.9999962733598278,
                0.999997438717484,
                0.9999910603005,
                0.9999885212332433,
                0.9999970976876691,
                0.9998911031167671
            ],
            [
                0.9999986290429567,
                0.9999982396559474,
                0.9999970976883609,
                0.999997097687323,
                0.9999986290429567,
                0.9999945777784449,
                0.9999967112501507,
                0.9999987901337396,
                0.9999974387168733,
                0.9999986290427932
            ],
            [
                0.999998790134028,
                0.9999995549148419,
                0.999998790134605,
                0.9999990577555185,
                0.999998629042303,
                0.9999984465020603,
                0.9999984465020603,
                0.9999994284997573,
                0.9999993524049703,
                0.9999990577554062
            ],
            [
                0.9999962733607162,
                0.9999251537727964,
                0.9999038975621508,
                3.2887482813149375e-06,
                0.9993736659047402,
                0.9997694931753348,
                0.9999151889485693,
                0.9994472213235218,
                0.9999339478632105,
                0.9999038975506963
            ],
            [
                0.9999990577549569,
                0.9999994284994848,
                0.9999974387184,
                0.999998239656367,
                0.9999994956525917,
                0.9999984465026158,
                0.9999980052702786,
                0.9999945777810306,
                0.9999980052695653,
                0.9999994284996891
            ],
            [
                0.9999989322968754,
                0.9999984465015046,
                0.999995214906076,
                0.9999930377420906,
                0.9999898700126436,
                0.9999945777816767,
                0.9999898700090204,
                0.9999970976876689,
                0.9999980052707541,
                0.999998629042303
            ],
            [
                0.9999982396572065,
                0.9999994284994167,
                0.999999554914895,
                0.9999993524051246,
                0.9999989322975118,
                0.999994577781677,
                0.9999967112509348,
                0.9999987901346051,
                0.9999974387171787,
                0.9999994284997574
            ],
            [
                0.9999992661786695,
                0.999999266179107,
                0.999999554914842,
                0.9999982396572065,
                0.9999994284996891,
                0.9999994956524115,
                0.9999980052705164,
                0.9999974387177893,
                0.9999991684716749,
                0.9999992661789321
            ]
        ]
    },
    {
        "q_id": "10399_mmlu_computer science",
        "cot_ids": [
            1,
            9,
            14,
            16,
            22,
            25,
            29,
            30,
            37,
            38,
            39,
            42,
            44,
            45,
            46,
            48,
            51,
            52,
            54,
            55,
            57,
            58,
            64,
            65,
            73,
            74,
            76,
            80,
            81,
            82,
            89,
            96,
            97,
            98,
            100,
            102,
            105,
            107,
            123
        ],
        "rewards": [
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                1.0,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.0,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.8925154965188806e-05,
                4.222835455966783e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                4.539785777882115e-05,
                NaN,
                NaN,
                NaN,
                1.0,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0,
                NaN,
                NaN,
                2.1444948368956232e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.0010322308719351516,
                0.0005527785881396649,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.0031726833800237533,
                9.610240183489833e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.04742586913845881,
                NaN,
                NaN,
                7.889265400267349e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.000709670501100853,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ]
        ]
    },
    {
        "q_id": "10741_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999810748540193,
                0.99999862904312,
                0.9999970976883609,
                0.9999852610110029,
                0.9999967112497586,
                0.9999977396754327,
                0.9999984465026158,
                0.9999952149037942,
                0.9999980052702786,
                0.9999980052705163
            ],
            [
                0.9999151889587016,
                0.9999251537995856,
                0.999972464315473,
                0.9999599362982768,
                0.999997097689053,
                0.9999945777810305,
                0.9999898700078138,
                0.9999987901337396,
                0.9999898700066059,
                0.9999724643187544
            ],
            [
                0.9999724642957929,
                0.9998766053665733,
                0.9999756997563787,
                0.9998204719489601,
                0.999959936317373,
                0.9999810748427401,
                0.9999756997592744,
                0.9999952149037944,
                0.9999599363173852,
                0.9997388096612667
            ],
            [
                0.9999962733620488,
                0.9999989322967482,
                0.9999957771650455,
                0.9999952149072168,
                0.9999967112505429,
                0.9999977396765105,
                0.9999980052702787,
                0.9999986290421395,
                0.9999982396565769,
                0.9999962733589395
            ],
            [
                0.9999982396559474,
                0.9999930377412608,
                0.9999921107364753,
                0.999996273359384,
                0.9999967112501507,
                0.9999980052702786,
                0.9999957771665557,
                0.9999938558246664,
                0.9999898700102318,
                0.9999921107336538
            ],
            [
                0.9999952149055057,
                0.999986992876188,
                0.9999930377412607,
                0.9999974387168734,
                0.9999687980775012,
                0.9999885212346129,
                0.9999945777823231,
                0.9999921107383557,
                0.9999938558224697,
                0.9999852610180293
            ],
            [
                4.539785780557527e-05,
                8.93969736942758e-06,
                7.889259764273619e-06,
                7.889262584666493e-06,
                3.7266379512518984e-06,
                6.962253759581752e-06,
                3.726640616748873e-06,
                7.889261644982674e-06,
                6.144176799099397e-06,
                1.0129994602057158e-05
            ],
            [
                0.9999989322967481,
                0.9999957771650456,
                0.9999945777823234,
                0.999994577781677,
                0.9999984465015047,
                0.9999980052705163,
                0.9999938558261313,
                0.9999945777784449,
                0.9999967112501508,
                0.9999982396559474
            ],
            [
                1.0129987350921133e-05,
                1.4738981970312625e-05,
                1.89251482355036e-05,
                2.430023493564795e-05,
                7.484623605603429e-05,
                7.889266335395368e-06,
                2.7535700944314574e-05,
                2.75356878022126e-05,
                8.481107156496966e-05,
                0.99908894888539
            ],
            [
                0.9999938558232012,
                0.9999485577618699,
                0.9999980052709919,
                0.9999151889688344,
                0.9999810748540188,
                0.9999974387184,
                0.9999546021422099,
                0.9999785550592586,
                0.9999938558239342,
                0.9999984465016899
            ],
            [
                2.2603245672867952e-06,
                5.422219615898437e-06,
                4.785096776251149e-06,
                3.7266397281434697e-06,
                2.9023130230846496e-06,
                1.9947301970587145e-06,
                6.962254589617333e-06,
                5.422221554926484e-06,
                8.939698434657777e-06,
                5.422218969384951e-06
            ],
            [
                4.2228344511197656e-06,
                3.7266379512518984e-06,
                6.144175334239434e-06,
                6.9622579095833456e-06,
                4.785092783319532e-06,
                6.144173869240119e-06,
                2.9023133690637e-06,
                4.785096205830278e-06,
                3.726639284103523e-06,
                2.9023123310580418e-06
            ],
            [
                0.9999980052702786,
                0.9999910603005003,
                0.9999756997621738,
                0.9999967112505427,
                0.9999952149043647,
                0.9999962733616046,
                0.9999967112521109,
                0.9999986290432835,
                0.9999980052705163,
                0.9999982396563669
            ],
            [
                0.9999980052709918,
                0.9999945777797379,
                0.999975699762171,
                0.99999862904312,
                0.9999646437619502,
                0.9999417087345,
                0.9999151889284265,
                0.9999599362984783,
                0.999997438717484,
                0.9999885212346133
            ],
            [
                1.3007123807302014e-05,
                3.120192252800261e-05,
                6.962254589433702e-06,
                0.9978172838862943,
                6.144175334094145e-06,
                2.4300237830711845e-05,
                7.889260704050487e-06,
                6.962258738131379e-06,
                6.144173868781898e-06,
                1.3007133112307748e-05
            ],
            [
                0.9999982396559474,
                0.99999893229713,
                0.9999910603026313,
                0.9999992661791944,
                0.9999977396759717,
                0.9999987901338838,
                0.9999957771665557,
                0.9999957771675632,
                0.9999921107392957,
                0.9999921107336536
            ],
            [
                0.9933071496019913,
                6.144173868882483e-06,
                7.889260704531226e-06,
                0.9998911030780359,
                6.144172403928222e-06,
                7.889266347133978e-06,
                0.13296424535145931,
                1.012999460150437e-05,
                3.288749457409966e-06,
                2.1444953520182517e-05
            ],
            [
                0.9999974387187053,
                0.9999885212332442,
                0.9999885212277724,
                0.9999994956523514,
                0.9999984465028011,
                0.9999957771680662,
                0.999993037746241,
                0.9999957771660524,
                0.9999977396751633,
                0.9999962733598274
            ],
            [
                0.9999980052709919,
                0.9999952149066467,
                0.9999984465015047,
                0.9999987901341723,
                0.999989870009021,
                0.9999984465020603,
                0.9999938558232018,
                0.9999952149060758,
                0.9999974387187053,
                0.999954602147616
            ],
            [
                0.9999977396765105,
                0.9999974387171787,
                0.999993855827597,
                0.999995214904935,
                0.9999967112521109,
                0.9999852610162749,
                0.9999967112505427,
                0.9999962733589396,
                0.9999962733607161,
                0.9999921107345936
            ],
            [
                1.9947301970451086e-06,
                4.222831933864508e-06,
                6.1441767987808774e-06,
                3.2887502413389517e-06,
                6.144176797998549e-06,
                8.939696303758459e-06,
                4.222832940646604e-06,
                2.7535700936100516e-05,
                1.670142183934597e-05,
                7.88925976316864e-06
            ],
            [
                0.9999898700041906,
                0.999992110737415,
                0.9999898700078138,
                0.9999984465016898,
                0.9999251537370755,
                0.9999687980849118,
                0.9999938558253983,
                0.9999687980923492,
                0.9999852610110022,
                0.9999724643187576
            ],
            [
                0.9999687980774743,
                0.999925153772784,
                0.9999417087136441,
                0.9999339478790019,
                0.9999546021475986,
                0.9999945777829696,
                0.999290329542077,
                0.9999987901343165,
                0.9999151889688949,
                0.9998911030778711
            ],
            [
                0.9999921107355341,
                0.9999945777810308,
                0.999996273360272,
                0.9999990577550691,
                0.9999945777816768,
                0.999975699767967,
                0.9999910603036976,
                0.9999938558261312,
                0.9999938558239342,
                0.9999982396561572
            ],
            [
                0.9999756997505845,
                0.999989870004192,
                0.99956944286072,
                0.9999687980737526,
                0.9994472213267377,
                0.9986749778928865,
                0.9984988175931946,
                0.9998204719486441,
                0.9999952149037942,
                0.9999339478632615
            ],
            [
                0.9999962733593833,
                0.999999352404893,
                0.9999993524051246,
                0.999999352404893,
                0.9999967112517191,
                0.9999989322973846,
                0.9999967112505431,
                0.9999987901338838,
                0.9999994284996211,
                0.999999168471675
            ],
            [
                5.422217676575195e-06,
                2.1444945851269378e-05,
                6.962254589104433e-06,
                6.144174601410037e-06,
                2.1444953523537147e-05,
                6.1441767987808774e-06,
                8.939695237813028e-06,
                3.5356242271040426e-05,
                2.5612831264675113e-06,
                6.9622562492265485e-06
            ],
            [
                0.999981074856277,
                0.9999990577550691,
                0.9999810748449972,
                0.9999898700078138,
                0.9999977396754328,
                0.9999945777823233,
                0.999997097686977,
                0.9999967112509347,
                0.999991060305828,
                0.9999938558268633
            ],
            [
                0.9999952149032237,
                0.9999930377429207,
                0.9999945777790915,
                0.9999938558268633,
                0.9999982396567867,
                0.999995777168066,
                0.9999970976890529,
                0.9999930377437508,
                0.9999974387168733,
                0.9999945777784456
            ],
            [
                0.9999957771660523,
                0.9999930377437508,
                0.9999910603068948,
                0.9999646437408798,
                0.99999457778297,
                0.9999852610215454,
                0.9999930377404305,
                0.9999810748517645,
                0.999986992873088,
                0.9999869928746392
            ],
            [
                0.9999921107355337,
                0.9999646437535129,
                0.9998204720341847,
                0.9999417087066922,
                0.9999251537370939,
                0.999948557761846,
                0.9999885212359807,
                0.9999599362935055,
                0.9999869928699867,
                0.9999485578047577
            ],
            [
                0.9999962733602719,
                0.9999987901341723,
                0.9999945777803846,
                0.9999991684718732,
                0.999997438718095,
                0.9999945777784455,
                0.9999982396574163,
                0.999996273358939,
                0.9999952149049355,
                0.9999990577556307
            ],
            [
                1.473898899846585e-05,
                0.9940889318579267,
                0.20181321745968234,
                0.9993736659812894,
                2.4300234937239182e-05,
                1.6701417852987564e-05,
                4.785096775842062e-06,
                0.9999151889185471,
                1.8925152751174644e-05,
                0.9998204720983982
            ],
            [
                0.9999945777816772,
                0.9999970976890529,
                0.9999938558275957,
                0.9999991684721706,
                0.9999852610162734,
                0.9999970976887068,
                0.9999962733616045,
                0.9999980052709919,
                0.99999862904312,
                0.9999852610145158
            ],
            [
                0.9999930377445809,
                0.9999930377420911,
                0.9999945777823231,
                0.9999885212305071,
                0.9999756997476845,
                0.9999724643089118,
                0.999994577780384,
                0.9998601779260209,
                0.999994577782323,
                0.9999832985781592
            ],
            [
                0.9999910603015647,
                0.9995694428617596,
                0.9994472212549605,
                0.5312093733737563,
                0.9996646499306886,
                0.9971990729723997,
                0.9994472212584338,
                0.999704042901048,
                0.9995121427695036,
                0.9993736658221795
            ],
            [
                0.9999646437535161,
                0.999998629042303,
                0.9999980052700408,
                0.9999869928746377,
                0.9999038976194604,
                0.9999957771670589,
                0.9999952149043648,
                0.9999990577552937,
                0.9999982396567867,
                0.9999869928699867
            ],
            [
                6.144172403928222e-06,
                1.0129989771288745e-05,
                1.3007134664822509e-05,
                0.9324533144915912,
                5.422220908762902e-06,
                7.88926540679677e-06,
                1.1478772228256871e-05,
                1.4738980213020151e-05,
                0.00010889687009276013,
                1.6701415869924985e-05
            ],
            [
                0.9982992779599554,
                3.2887482809455384e-06,
                4.222835457595211e-06,
                1.4738976699106073e-05,
                6.962255418215627e-06,
                5.422218967797024e-06,
                6.962255418063657e-06,
                0.999290329627318,
                4.22283294025486e-06,
                2.4300243593170955e-05
            ],
            [
                0.9999832985721862,
                0.9999756997505811,
                0.9997694933675396,
                0.9999687980737588,
                0.999876605410656,
                0.9999485577863694,
                0.9999852610110046,
                0.9999646437535082,
                0.9999724643056213,
                0.9999852610162754
            ],
            [
                2.902312330891746e-06,
                5.144220748924517e-05,
                4.222832437497486e-06,
                1.8925154970283563e-05,
                1.892514372640862e-05,
                1.5534981248133121e-06,
                1.0129995808178788e-05,
                2.902311637973108e-06,
                1.8925155003330605e-05,
                1.3007123811513407e-05
            ],
            [
                0.9999852610127591,
                0.9999952149060765,
                0.9999980052707542,
                0.9999952149055056,
                0.9999984465026159,
                0.9999992661788445,
                0.9999984465024306,
                0.999993037741262,
                0.9999687980774881,
                0.999995777168066
            ],
            [
                0.9999898700078136,
                0.9999987901341724,
                0.9999993524051246,
                0.9999910603068942,
                0.9999962733616053,
                0.99999844650169,
                0.9999957771660523,
                0.999997097687323,
                0.9999832985702019,
                0.9999952149066468
            ],
            [
                4.7850944943330625e-06,
                5.144219525129858e-05,
                5.422218323231539e-06,
                4.222834954514924e-06,
                1.3007128460797749e-05,
                1.8925145982866508e-05,
                8.939700566435704e-06,
                4.5397879450662006e-05,
                1.670141587031992e-05,
                2.9023130230133794e-06
            ],
            [
                1.892514823013346e-05,
                1.670141786231398e-05,
                1.4738976697229395e-05,
                7.889260704050487e-06,
                1.9947299590810645e-06,
                6.962258738701267e-06,
                2.144495096723246e-05,
                3.726641061027928e-06,
                1.3007133115903994e-05,
                3.12019076377484e-05
            ],
            [
                0.9999945777797374,
                0.9999885212318762,
                0.9999974387187053,
                0.9999898700066072,
                0.9999962733602716,
                0.9999756997476916,
                0.9999930377437505,
                0.9999910603005017,
                0.9999910603036961,
                0.999964643732436
            ],
            [
                0.9999974387184,
                0.9999980052700407,
                0.9999993524051246,
                0.999997097688361,
                0.999998005269803,
                0.9999986290423029,
                0.9999984465020603,
                0.9999986290424664,
                0.9999977396754328,
                0.9999974387171787
            ],
            [
                0.999948557774109,
                0.9999646437325226,
                0.9999967112497585,
                0.9996200154730436,
                0.9998911031298375,
                0.9999251537639091,
                0.9991959139663017,
                0.9999546021205493,
                0.9998415638210976,
                0.9999869928715376
            ],
            [
                7.88926634644516e-06,
                3.120191877609648e-05,
                3.535623805331028e-05,
                8.481106143026193e-05,
                4.539785239182798e-05,
                3.535625913810743e-05,
                2.7535691091443854e-05,
                7.484623613717036e-05,
                1.670142980608093e-05,
                7.484624501203951e-05
            ],
            [
                0.9999980052707541,
                0.9999977396759716,
                0.9999967112505427,
                0.9999980052707541,
                0.9999994284992805,
                0.9999970976883609,
                0.9999974387180947,
                0.9999989322966208,
                0.9999984465024306,
                0.9999724643056468
            ],
            [
                0.9999974387171787,
                0.9999986290432834,
                0.9999977396765105,
                0.9999987901343166,
                0.9999967112513268,
                0.9999982396563671,
                0.9999970976876689,
                0.999998239656367,
                0.9999991684722697,
                0.9999986290424663
            ],
            [
                0.999997438717484,
                0.9999967112505427,
                0.9999977396757023,
                0.9999986290429567,
                0.9999974387177893,
                0.999998239656367,
                0.9999994956524114,
                0.9999962733620489,
                0.9999997617630049,
                0.999998629042303
            ],
            [
                0.9999930377454121,
                0.999996711249367,
                0.9999980052709919,
                0.9999986290427931,
                0.999998932296621,
                0.9999974387180949,
                0.9999989322968754,
                0.999996711250543,
                0.9999987901337396,
                0.999995214903795
            ],
            [
                1.3007131564903626e-05,
                5.1442225903808436e-05,
                4.5397874023865346e-05,
                1.0129993393742954e-05,
                1.4738978456398127e-05,
                6.962259568889411e-06,
                0.00010889690814418504,
                1.147876812538911e-05,
                7.889266347248781e-06,
                3.12019225291377e-05
            ],
            [
                0.9999945777797382,
                0.9999980052707541,
                0.9999974387168734,
                0.9999921107402366,
                0.9999990577551816,
                0.9999869928668889,
                0.9999756997650636,
                0.9999974387177895,
                0.9999251537906383,
                0.9999977396759717
            ],
            [
                1.670142183934597e-05,
                0.9999151889890513,
                0.9989677689529215,
                0.9978172834618566,
                0.9940889302626722,
                0.999195914070123,
                0.989013056762209,
                0.00013982212296328436,
                0.9968273174078752,
                0.9984988175589928
            ],
            [
                0.9999646437451162,
                0.9999339478633246,
                0.9996200154265029,
                0.9984988177872366,
                0.9988304899037077,
                0.9997694931752275,
                0.9999151889283845,
                0.999972464302344,
                0.9997694933680427,
                0.9997965730274053
            ],
            [
                0.9999832985781597,
                0.9999989322970028,
                0.999994577780384,
                0.999997097686977,
                0.9999994284992805,
                0.9999991684715759,
                0.9999996940977001,
                0.9999990577551814,
                0.9999970976869772,
                0.9999990577555185
            ],
            [
                0.9999962733593832,
                0.9999945777784451,
                0.9999986290423029,
                0.9999945777829694,
                0.9999967112517187,
                0.999997097687323,
                0.9999885212305073,
                0.9999984465022455,
                0.9999938558275958,
                0.999999266178932
            ],
            [
                0.999933947878971,
                0.9999785550439229,
                0.9999930377437505,
                0.9999038975965626,
                0.9999810748449934,
                0.999985261012762,
                0.9999251537549172,
                0.9999151889890939,
                0.99996879809608,
                0.9999898700078133
            ],
            [
                1.473898372275276e-05,
                6.144177530425867e-06,
                5.4222202614355715e-06,
                3.726641060773727e-06,
                1.4738980203395485e-05,
                1.0129988562901417e-05,
                2.9023116377197043e-06,
                1.3007134665413997e-05,
                2.7535697652678035e-05,
                6.1441767989541075e-06
            ],
            [
                0.9999982396569966,
                0.9999977396754327,
                0.9999810748517677,
                0.9999885212318796,
                0.9999962733589395,
                0.9999989322966208,
                0.999996273362049,
                0.9999930377445811,
                0.9999930377437518,
                0.9999952149060765
            ],
            [
                0.9999996072137529,
                0.9999982396563672,
                0.9999898700126456,
                0.9999992661792819,
                0.999998005269803,
                0.9999974387171787,
                0.9999993524053563,
                0.9999987901337396,
                0.9999980052700408,
                0.9999984465015048
            ],
            [
                4.785094494019719e-06,
                2.5612815999423112e-06,
                0.9999339478474997,
                3.2887494573232236e-06,
                4.006367783922064e-05,
                6.962259569117366e-06,
                0.9999038975851828,
                0.9999038975736046,
                0.9997388096604004,
                2.9023119850210436e-06
            ],
            [
                0.99999844650169,
                0.9999984465015047,
                0.999998239656367,
                0.999996711252111,
                0.9999938558275973,
                0.9999986290431201,
                0.9999987901337396,
                0.9999885212277715,
                0.9999982396572065,
                0.9999921107402364
            ],
            [
                0.9914225142219734,
                0.9994472213235218,
                0.9999485577987738,
                8.939696302831578e-06,
                0.998299277578682,
                0.9990889489836183,
                0.9999921107345936,
                0.999704042831067,
                0.9999646437408712,
                0.993307150459512
            ],
            [
                0.9999930377429207,
                0.9988304896007226,
                0.9999546021313821,
                0.9968273169402904,
                0.9998766054548265,
                0.9924227587076273,
                0.9999930377412614,
                0.999999352404893,
                0.9999687980849237,
                0.9999810748472515
            ],
            [
                0.9999984465024307,
                0.9999994284992805,
                0.9999921107355351,
                0.9999962733616047,
                0.9999986290426297,
                0.9999962733607163,
                0.9999982396561572,
                0.9999982396574163,
                0.9999869928730883,
                0.9999970976883609
            ],
            [
                0.9999339478474747,
                0.9999810748449929,
                0.9999921107374146,
                0.9999832985741757,
                0.9999756997621686,
                0.9999832985701927,
                0.9999910602994335,
                0.9999962733620488,
                0.9999724642957734,
                0.9999251537549417
            ],
            [
                0.999992110736474,
                0.9999785550490354,
                0.9999599363126164,
                0.9999852610110026,
                0.9997388097845256,
                0.9999832985821396,
                0.9999930377420905,
                0.9999756997563787,
                0.9997965729304471,
                0.9999921107402361
            ],
            [
                0.9999945777790916,
                0.9999898700053984,
                0.9999921107336536,
                0.9999980052709919,
                0.9999987901347491,
                0.9999970976880149,
                0.9999952149066464,
                0.9999957771680661,
                0.9999967112501509,
                0.9999938558261314
            ],
            [
                0.999988521229138,
                0.9999852610233009,
                0.9999546021476535,
                0.9999756997621677,
                0.9999921107374156,
                0.9999599362935055,
                0.9999938558246658,
                0.9999952149037942,
                0.9999724642957828,
                0.9999869928668853
            ],
            [
                8.939697368663308e-06,
                6.144173135762683e-06,
                1.4738980212296288e-05,
                2.1444953520182517e-05,
                3.7266397281434697e-06,
                1.6701415868193372e-05,
                0.9947798735544059,
                4.539787402089267e-05,
                2.2603242977802297e-06,
                4.785096205778054e-06
            ],
            [
                0.9999885212346117,
                0.9997965729300062,
                0.9999832985841317,
                0.9999952149043645,
                0.999738809784594,
                0.9999952149049349,
                0.9999952149032236,
                0.9999251537995529,
                0.9999687980923515,
                0.9998601778760521
            ],
            [
                0.9999885212346113,
                0.9999957771655489,
                0.9999945777829696,
                0.999876605410638,
                0.9999910603026309,
                0.9999957771645419,
                0.9999885212332451,
                0.9999417087414608,
                0.9999910603015651,
                0.9999930377454107
            ],
            [
                0.9999990577551815,
                0.9999980052693277,
                0.9999967112493665,
                0.9999986290426298,
                0.9999974387187053,
                0.9999962733598278,
                0.9999957771680658,
                0.9999990577550691,
                0.9999962733598277,
                0.9999980052700407
            ],
            [
                0.9999962733598274,
                0.9999938558261309,
                0.9999962733598274,
                0.9999898700114359,
                0.9999724642957752,
                0.9999989322973846,
                0.9997965730999463,
                0.9999485578047742,
                0.9999151889285349,
                0.9999982396559474
            ],
            [
                1.3007134659451795e-05,
                0.9669140212537654,
                1.2098659719441482e-06,
                1.1478770861211786e-05,
                6.962253758017727e-06,
                4.222832437386106e-06,
                4.785094494402695e-06,
                0.9840936066262539,
                0.9875683467342516,
                2.5612819052072116e-06
            ],
            [
                0.9999546021097243,
                0.9999687980997913,
                0.9999785550567043,
                0.999985261016272,
                0.9999885212277696,
                0.9999945777816768,
                0.9999810748540188,
                0.9999869928730869,
                0.9999724643121954,
                0.999948557792504
            ],
            [
                0.9999984465020603,
                0.9999980052702785,
                0.9999938558253986,
                0.999998005269803,
                0.9999987901346049,
                0.9999974387168734,
                0.999998629042303,
                0.9999980052695652,
                0.999991060305828,
                0.9999974387177893
            ],
            [
                2.753570419688461e-05,
                2.9023119845723063e-06,
                0.999860177959625,
                2.144495095279976e-05,
                1.3709568799243436e-06,
                0.000626334096024845,
                2.7535681246690542e-05,
                4.0063682603624035e-05,
                0.9999038975965626,
                1.76034258364702e-06
            ],
            [
                3.7266388396975786e-06,
                8.939700565834043e-06,
                4.222833947498071e-06,
                3.2887482811220126e-06,
                4.0063682625048554e-05,
                4.7850944943330625e-06,
                8.939695237666677e-06,
                1.0129994601688632e-05,
                3.2887478892055875e-06,
                1.0129993392600532e-05
            ],
            [
                0.9999962733607161,
                0.9999785550464753,
                0.9999646437535178,
                0.999891103116832,
                0.9998766054251449,
                0.9993736657534638,
                0.9999339478474747,
                0.9997388097229988,
                0.9994472214582324,
                0.9998415638209939
            ],
            [
                0.9999339478317386,
                0.9999646437619434,
                0.9999485577740932,
                0.9999980052693274,
                0.9999251537371064,
                0.9999869928746389,
                0.9999687980886335,
                0.9999938558275957,
                0.9999785550592685,
                0.9999885212359809
            ],
            [
                0.9999898700090213,
                0.9999967112509347,
                0.9999832985821424,
                0.9999898700102289,
                0.9999921107336528,
                0.9999967112497586,
                0.9999756997476897,
                0.9999938558275956,
                0.999993855822469,
                0.9999885212305081
            ],
            [
                0.9999974387180949,
                0.9999930377462407,
                0.9999977396748938,
                0.9999962733620489,
                0.9999910603058291,
                0.999991060305828,
                0.9999952149066462,
                0.9999970976873229,
                0.9999869928730875,
                0.999997097686977
            ],
            [
                0.9999986290421395,
                0.9999967112497585,
                0.9999987901338839,
                0.9999974387165681,
                0.9999994284994167,
                0.9999977396754328,
                0.9999957771660526,
                0.9999989322972572,
                0.9999991684719725,
                0.9999986290427932
            ],
            [
                0.9996646499732083,
                0.9975273765602456,
                0.9998911031039502,
                0.9999339478474896,
                0.9999038975507474,
                0.9997694933133934,
                0.99998699287154,
                0.9999546021205704,
                0.9997388096936793,
                0.9999599362887388
            ],
            [
                0.9999251537370689,
                0.9999546021476133,
                0.9999810748472489,
                0.999997438716568,
                0.999941708706721,
                0.9999832985801506,
                0.9840936063638437,
                0.9999832985821396,
                2.1444943298320236e-05,
                0.9999756997679602
            ],
            [
                7.889266347248781e-06,
                4.785094494185095e-06,
                1.1478764020372226e-05,
                8.93970056668775e-06,
                8.939698435226916e-06,
                1.5534975693488444e-06,
                8.939697368842181e-06,
                6.962253759043525e-06,
                1.3709570434054234e-06,
                1.6701419848961534e-05
            ],
            [
                0.9999938558232012,
                0.999991060299434,
                0.9999756997505835,
                0.9999485577802376,
                0.9999832985761714,
                0.9999970976887069,
                0.9999910602994339,
                0.9999687980811974,
                0.9999756997476879,
                0.9999724643089131
            ],
            [
                0.9999687980923515,
                0.9997965730510352,
                0.9999832985741741,
                0.9999977396762411,
                0.9999756997592754,
                0.9998766053665393,
                0.9999945777784449,
                0.9999974387187053,
                0.9999417087067168,
                0.9999938558232011
            ],
            [
                0.9999986290427932,
                0.9999987901337396,
                0.9999977396754327,
                0.9999930377462416,
                0.9999898700114368,
                0.9999910602994343,
                0.9999945777790918,
                0.9999910603047643,
                0.9999977396746245,
                0.9999974387184
            ],
            [
                1.1478770860982112e-05,
                1.473898197063434e-05,
                1.012998977088337e-05,
                1.994729721482609e-06,
                1.6701419851270353e-05,
                7.889260704531226e-06,
                4.222832940942332e-06,
                5.422220908876325e-06,
                1.1478772229551402e-05,
                6.144172404380855e-06
            ],
            [
                0.9999982396574163,
                0.9999980052709919,
                0.999998932296621,
                0.9999962733616046,
                0.9999938558275958,
                0.9999987901347491,
                0.999999266178757,
                0.999999057755743,
                0.9999990577556308,
                0.9999785550592651
            ],
            [
                0.999995214903224,
                0.9999984465022456,
                0.9999974387177893,
                0.9999930377437506,
                0.999993037743751,
                0.9999957771660523,
                0.999997097688361,
                0.9999945777816769,
                0.999989870006606,
                0.9999967112517189
            ],
            [
                0.994779875293035,
                0.9999546021097317,
                0.9999251537727715,
                0.9999038975850787,
                0.999991060300499,
                0.9991959139620928,
                0.9999251537727715,
                0.99998107485853,
                0.9999724643121888,
                0.9986749775821707
            ],
            [
                1.6701421842140854e-05,
                0.9999339478474997,
                4.006370173469883e-05,
                1.670141587031992e-05,
                7.889264466344872e-06,
                1.3007130014376633e-05,
                0.9997388096321524,
                2.902310947190096e-06,
                0.00013982209062250782,
                2.430025231213619e-05
            ],
            [
                0.9999785550413712,
                0.9999962733607161,
                0.9999962733593833,
                0.999995214904365,
                0.9999962733616046,
                0.9999810748562856,
                0.9999938558268638,
                0.9999945777797379,
                0.999996273358939,
                0.9999970976866311
            ],
            [
                0.9999417087414608,
                0.9999810748495074,
                0.9999646437619575,
                0.9999546021097344,
                0.9999869928684356,
                0.9999687980737645,
                0.9999898700114366,
                0.9999785550464758,
                0.9999930377437508,
                0.9999724642957784
            ],
            [
                0.9999756997621719,
                0.9998911031037133,
                0.9999038975622222,
                0.9997965729786156,
                0.9999038976194604,
                0.9998415638024325,
                0.9997965730271834,
                0.9998601778595592,
                0.9999417087553356,
                0.00023050676401301337
            ],
            [
                4.785092783210732e-06,
                3.2887502411564953e-06,
                6.144172403592939e-06,
                7.88926634687567e-06,
                3.7266379512518984e-06,
                4.785094494019719e-06,
                3.288747889038086e-06,
                6.962253759486771e-06,
                8.93970056565517e-06,
                3.7266388397382506e-06
            ],
            [
                0.9999974387165681,
                0.9999967112509349,
                0.9999991684715759,
                0.9999982396567868,
                0.9999984465018751,
                0.9999991684720715,
                0.9999989322970028,
                0.9999987901338838,
                0.999998239656367,
                0.9999974387168734
            ],
            [
                0.34864513533394575,
                0.9999785550439653,
                0.9998601779762216,
                0.9998601778793885,
                0.9999546021422212,
                0.9980732652113058,
                0.9999910603058279,
                0.9999724643023631,
                0.9993736657640298,
                0.9999646437366535
            ],
            [
                8.93969736929749e-06,
                1.3007133114318805e-05,
                5.422220908314139e-06,
                2.9023119850527192e-06,
                1.1478766755734576e-05,
                1.5534979397592542e-06,
                4.222833444168322e-06,
                4.785093353787868e-06,
                3.7266383952696564e-06,
                1.0129987353832463e-05
            ],
            [
                1.300712536258383e-05,
                1.1478764018576587e-05,
                2.753568781022632e-05,
                1.6701417861189946e-05,
                0.9995121428304139,
                4.785094494576774e-06,
                1.0129994601688632e-05,
                1.0129995809431767e-05,
                2.1444948410303962e-05,
                8.939696303010449e-06
            ],
            [
                0.9999952149049351,
                0.9999957771660523,
                0.9999945777803844,
                0.9999687980923553,
                0.9999977396751633,
                0.9999970976866309,
                0.999988521234613,
                0.9999980052707541,
                0.9999724643187533,
                0.9999962733602717
            ],
            [
                0.999993037745411,
                0.9999974387177893,
                0.9999970976876692,
                0.9999957771665557,
                0.9999990577556308,
                0.9999952149060758,
                0.999998629042303,
                0.9999957771645422,
                0.999991060299435,
                0.9999945777810306
            ],
            [
                0.9999974387187054,
                0.9999898700041918,
                0.9999957771650455,
                0.999995214904935,
                0.9999910603036981,
                0.9999910603058283,
                0.9999991684719723,
                0.9999930377445814,
                0.9999982396569966,
                0.9999995549150011
            ],
            [
                3.288750241374845e-06,
                6.962254589781966e-06,
                5.422218969532895e-06,
                6.962255419380732e-06,
                0.00013982214019257825,
                3.726640172537657e-06,
                1.6701427813417103e-05,
                1.370957860466977e-06,
                1.1478765386330758e-05,
                5.422220908703723e-06
            ],
            [
                0.999998790134028,
                0.9999970976866311,
                0.9999930377420908,
                0.9999990577552939,
                0.9999974387177893,
                0.99999893229713,
                0.9999990577551815,
                0.9999977396762411,
                0.9999992661789321,
                0.9999994956523514
            ],
            [
                0.9999646437408679,
                0.9999898700102282,
                0.9999251537370999,
                0.9999151889688184,
                0.9997694931751202,
                0.9984988175855166,
                0.9999339478317386,
                0.9999339478553674,
                0.9999930377404309,
                0.999915188948618
            ],
            [
                0.9999724643121954,
                0.9999785550464765,
                0.9999885212318748,
                0.9999546021151431,
                0.9999251537995099,
                0.9999485578047429,
                0.9999852610197867,
                0.9998601779593483,
                0.9999417087066845,
                0.9999785550541442
            ],
            [
                0.9997694931755629,
                0.9999151889494319,
                1.14787681240737e-05,
                0.9997965729302667,
                0.9999810748449939,
                0.9740426443092215,
                0.9997965730029882,
                0.9999417087553878,
                0.2942149721629888,
                0.817574478416099
            ],
            [
                0.9999957771650456,
                0.9999970976880149,
                0.9999962733593835,
                0.9999957771665557,
                0.99999862904312,
                0.9999982396574163,
                0.9999974387184001,
                0.9999984465026158,
                0.999998239656367,
                0.9999991684722698
            ],
            [
                0.9999962733620489,
                0.999996273360272,
                0.9999982396567867,
                0.9999977396765106,
                0.9999984465026159,
                0.999995214904935,
                0.9999945777784452,
                0.9999984465022455,
                0.9999984465022457,
                0.9999974387180947
            ],
            [
                0.999997438716568,
                0.9998766053957971,
                0.9999938558239334,
                0.9999546021205518,
                0.9999991684721706,
                0.9999869928668851,
                0.9999982396569966,
                0.9999962733602719,
                0.9999967112501508,
                0.9999980052707541
            ],
            [
                0.9999974387184,
                0.9999990577549568,
                0.9999546021151535,
                0.9999992661791944,
                0.9999977396748938,
                0.9999967112513268,
                0.9999991684717741,
                0.9999987901344608,
                0.9999986290424664,
                0.9999980052693275
            ],
            [
                0.999997739674894,
                0.999991060299435,
                0.9999982396565769,
                0.9999980052693275,
                0.9999921107392977,
                0.9999898700066059,
                0.9999974387165681,
                0.99999844650169,
                0.9999970976883614,
                0.9999930377404312
            ],
            [
                0.9999038975850983,
                0.9999885212291385,
                0.9999832985841324,
                0.999997097686977,
                0.9998204719702113,
                0.9999957771670591,
                0.9999810748562722,
                0.9999724643154692,
                0.999933947871151,
                0.9999251537906992
            ],
            [
                0.9999952149037942,
                0.9999930377454107,
                0.999985261023306,
                0.9999930377462408,
                0.9999885212359824,
                0.9999885212264018,
                0.999992110739296,
                0.9999910603015656,
                0.9999930377437508,
                0.9999832985781602
            ],
            [
                0.9999997897566089,
                0.9999974387168733,
                0.9999997300421581,
                0.9999997300421903,
                0.9999967112517189,
                0.9999977396759718,
                0.9999977396748939,
                0.9999994284993485,
                0.9999996533674201,
                0.999998790134028
            ],
            [
                0.9999952149055056,
                0.9999852610110006,
                0.9999485577925108,
                0.9999852610180298,
                0.9999898700078133,
                0.9999945777816771,
                0.9999957771670589,
                0.9999869928746383,
                0.999999266178757,
                0.9999724643023452
            ],
            [
                0.9999986290424664,
                0.9999984465026158,
                0.9999989322975118,
                0.999995214904365,
                0.9999967112497586,
                0.9999977396746245,
                0.9999996940977002,
                0.9999977396751636,
                0.9999952149032245,
                0.999997438717484
            ],
            [
                0.9999485577679709,
                0.9999970976876689,
                0.9999910602994336,
                0.9999756997563736,
                0.9998911031297076,
                0.9999945777823231,
                0.9999869928761884,
                0.9999810748540188,
                0.9999151889687937,
                0.9999546021151381
            ],
            [
                0.9978172832128734,
                2.4300249411766472e-05,
                0.992422757573079,
                1.4738985483879434e-05,
                3.288747889038086e-06,
                0.9991959141625333,
                4.7850967763512445e-06,
                6.144173868983067e-06,
                6.962256249327861e-06,
                0.974042641483562
            ],
            [
                0.9999646437408649,
                0.9999885212318762,
                0.9999417087414281,
                0.9999756997563743,
                0.999972464315472,
                0.9999756997563768,
                0.999975699762164,
                0.9999810748472494,
                0.999738809722216,
                0.9999885212305081
            ],
            [
                1.4738985483504099e-05,
                1.5534984953199313e-06,
                5.4222215550004564e-06,
                7.889261644875049e-06,
                3.726640172537657e-06,
                7.889266347133978e-06,
                5.4222215552470286e-06,
                1.1478768124783601e-05,
                5.422217030555087e-06,
                1.760343423160973e-06
            ]
        ]
    },
    {
        "q_id": "10749_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999938558246658,
                0.9997694932850358,
                0.9998415637266933,
                0.9999251537460401,
                0.9990889486698069,
                0.9999251537370689,
                0.9999724643056213,
                0.9999151889587515,
                0.9998911030389752,
                0.9998204719912301
            ],
            [
                5.4222183231674305e-06,
                1.2098662603862553e-06,
                0.00015843616022810823,
                1.5534979397500702e-06,
                0.003172683271043325,
                3.7266383955611403e-06,
                1.370956879949281e-06,
                4.222832941142044e-06,
                0.0003353501078797176,
                0.0013250225996066243
            ],
            [
                2.902312331125353e-06,
                3.5356254916002164e-05,
                6.1441724046434924e-06,
                4.539786320660675e-05,
                1.30071253611406e-05,
                6.144177531660828e-06,
                0.00012339453058940345,
                4.539786854620345e-05,
                2.902312677060767e-06,
                1.1478769493331685e-05
            ],
            [
                1.6701421841259862e-05,
                1.1478770861650256e-05,
                3.726640172503764e-06,
                4.785095065093186e-06,
                2.7535704222728874e-05,
                1.3007128463352975e-05,
                1.994729483705484e-06,
                3.7266383955882547e-06,
                2.1444945855248125e-05,
                1.6701421840318107e-05
            ],
            [
                0.9999987901341723,
                0.9999987901341724,
                0.9999993524054335,
                0.9999962733602719,
                0.9999977396762411,
                0.9999992661791944,
                0.9999989322973846,
                0.9999869928668863,
                0.9999994956524115,
                0.999998790134028
            ],
            [
                6.1441724044534996e-06,
                1.8925148238291944e-05,
                4.785093924251918e-06,
                5.422218323019487e-06,
                2.260324028404236e-06,
                3.7266397282926013e-06,
                6.962257079059797e-06,
                4.7850933535659155e-06,
                9.422447061876404e-07,
                4.785094494750855e-06
            ],
            [
                0.9999974387171787,
                4.222832940942332e-06,
                1.1478773597118638e-05,
                1.4738978455701077e-05,
                0.9999957771650455,
                3.72664061681327e-06,
                2.4300243626409964e-05,
                5.422218323093458e-06,
                1.0129993394664264e-05,
                3.2887490653109436e-06
            ],
            [
                7.88926540679677e-06,
                6.962255419728997e-06,
                2.1444948410303962e-05,
                1.892514597770291e-05,
                0.0001584362355707695,
                0.0002611904330981433,
                2.7535687806920664e-05,
                1.3007126913346863e-05,
                7.889261644982674e-06,
                2.430023783309869e-05
            ],
            [
                1.0129989770441144e-05,
                0.00012339461863071857,
                1.6701427813417103e-05,
                4.785095065045315e-06,
                4.222832940777184e-06,
                2.9023109471188266e-06,
                3.2887490653408545e-06,
                0.0009110512663499949,
                6.962257909412379e-06,
                7.889264465555602e-06
            ],
            [
                5.715005151485975e-07,
                3.726638839806038e-06,
                2.260323758923431e-06,
                1.0129989771288745e-05,
                3.2887478890769702e-06,
                5.422219615750493e-06,
                2.2603251061458426e-06,
                5.422217676797111e-06,
                6.144176798255599e-06,
                4.2228349546493465e-06
            ],
            [
                8.939699500896292e-06,
                2.1444940743772097e-05,
                1.8925145978942173e-05,
                6.962253759271479e-06,
                1.3007125361755747e-05,
                0.9999980052695652,
                7.88926634755014e-06,
                2.1444956079218013e-05,
                1.4738978456719842e-05,
                1.3007134665130082e-05
            ],
            [
                5.71500515151976e-07,
                0.0001584362730323416,
                8.315281267800897e-07,
                4.222835457595211e-06,
                2.5612816000145246e-06,
                1.8925152750692706e-05,
                5.4222183231674305e-06,
                5.42222090882208e-06,
                1.3709573702111586e-06,
                4.222832941072913e-06
            ],
            [
                3.535625491265802e-05,
                6.144176798870286e-06,
                3.120190020068305e-05,
                8.939700566143004e-06,
                1.2098658277264215e-06,
                1.8925148238808306e-05,
                4.0063692115526124e-05,
                6.144176798870286e-06,
                8.481106137534633e-05,
                1.5534975692866768e-06
            ],
            [
                8.939700566801578e-06,
                2.2603234895053587e-06,
                1.1478766753082876e-05,
                1.4738983726184394e-05,
                4.22283545808297e-06,
                4.78509506499309e-06,
                8.939699500896292e-06,
                1.994729483694599e-06,
                2.5612825160271407e-06,
                4.785095635413826e-06
            ],
            [
                0.9999996072137998,
                0.9999994956523514,
                0.9999990577556308,
                0.999998005269803,
                0.9999994284993486,
                0.9999995549151072,
                0.9999989322970028,
                0.9999984465015047,
                0.9999987901341723,
                0.999998790134028
            ],
            [
                0.9988304895887555,
                0.5926665999540698,
                0.9989677691644381,
                0.9947798741565181,
                0.9924227595480334,
                0.9997040429713907,
                0.9924227570408217,
                0.9959298622161505,
                0.9964063970142383,
                0.9933071491004811
            ],
            [
                1.0129990979031306e-05,
                4.222832437639588e-06,
                3.7266383953679482e-06,
                3.7266388397721442e-06,
                2.5612822106654943e-06,
                0.004070137379904869,
                7.889261644501938e-06,
                1.30071253611406e-05,
                1.6701423833011596e-05,
                1.0129993393319151e-05
            ],
            [
                5.715003789033962e-07,
                3.7266383953679482e-06,
                9.422443692489024e-07,
                1.7603432132912532e-06,
                4.785093924251918e-06,
                6.1441767990323395e-06,
                5.4222202624563834e-06,
                3.7266410609940346e-06,
                4.222831934202483e-06,
                2.561283126639892e-06
            ],
            [
                0.9999990577551814,
                0.9999977396765105,
                0.9999984465024306,
                0.9999974387168734,
                0.9999982396567868,
                0.9999990577550691,
                0.9999930377445805,
                0.9999990577550691,
                0.9999984465018751,
                0.9999992661790195
            ],
            [
                1.012998977213635e-05,
                8.315282259051341e-07,
                1.6701419852819694e-05,
                6.1441746016670885e-06,
                1.892514372737249e-05,
                1.1478768124992398e-05,
                0.00013982205735608936,
                9.422444815628016e-07,
                2.7535684529910724e-05,
                3.7266388397721442e-06
            ],
            [
                0.9998204719916403,
                0.9999339478238459,
                0.9993736657599855,
                0.9996646500107031,
                0.9998415638022159,
                0.9998204720341167,
                0.20181322226037884,
                0.9998911030387843,
                0.999941708734458,
                0.9999485578047577
            ],
            [
                4.222831934248571e-06,
                6.605212095395777e-05,
                7.889265406904397e-06,
                5.422220908560712e-06,
                0.00015843625389468918,
                9.422445939002803e-07,
                1.7603434231705793e-06,
                0.0001398221067735684,
                7.338208930443633e-07,
                1.47389819699641e-05
            ],
            [
                0.9999986290427932,
                0.9999898700102285,
                0.9999977396759718,
                0.9999977396762412,
                0.9999970976880151,
                0.9999977396746244,
                0.9999930377462405,
                0.9999987901347492,
                0.9999974387171795,
                0.9999962733620488
            ],
            [
                4.785093353739995e-06,
                1.14787681240737e-05,
                6.962259569313662e-06,
                2.4300252317086683e-05,
                4.006368740446426e-05,
                0.9999952149066464,
                0.9999967112493665,
                2.43002378338943e-05,
                3.288747889229516e-06,
                1.8925148238291944e-05
            ],
            [
                0.9999485578047611,
                0.9999898700126433,
                0.9999339478711182,
                0.9998911030778981,
                0.9999921107374145,
                0.999891103064853,
                0.9999810748495058,
                0.9999687980886374,
                0.9999938558253983,
                0.9999687980997952
            ],
            [
                4.5397879429522924e-05,
                0.9999938558268644,
                1.3007134665934505e-05,
                1.300713311517055e-05,
                8.939695238089467e-06,
                7.889263525778283e-06,
                1.7603432133032607e-06,
                0.9999967112501507,
                0.9999977396759717,
                2.4300232036606334e-05
            ],
            [
                0.995929863178822,
                0.9984988177340146,
                0.015906389670846587,
                0.9989677687955445,
                0.9986749776787591,
                0.9875683466656479,
                0.9994472212546711,
                0.9986749775390371,
                0.9995121428810211,
                0.9924227569602827
            ],
            [
                0.999999266179107,
                0.9999987901338838,
                0.9999785550490315,
                0.9999974387168733,
                0.9999982396572065,
                0.9999967112505427,
                0.9999977396759716,
                0.999993037742921,
                0.99999893229713,
                0.9999952149049356
            ],
            [
                0.5312093733737563,
                0.9986749777094147,
                0.9991959142549903,
                0.9988304899999884,
                0.9980732653765212,
                0.9890130584117632,
                0.9993736657479986,
                0.999820471948409,
                0.9953904268762463,
                0.9982992779261567
            ],
            [
                0.9986749773618813,
                0.9990889488990063,
                0.9994472213218496,
                0.9998204719483123,
                0.06754669395523943,
                0.9991959139624201,
                0.9984988180997629,
                0.9947798754405404,
                0.9980732656362096,
                0.9978172831692633
            ],
            [
                5.1442238170207006e-05,
                8.93969417167259e-06,
                8.939700566801578e-06,
                7.889262584809997e-06,
                6.605214458361157e-05,
                2.5612819052072116e-06,
                4.785093353626844e-06,
                8.9397005654763e-06,
                1.892515726099468e-05,
                0.9999417087483918
            ],
            [
                0.9999724642990595,
                0.9999785550515911,
                0.9995121427700997,
                0.999841563745393,
                0.9995121428247089,
                0.999954602147616,
                0.9999885212277709,
                0.9999417087415061,
                0.997817283469463,
                0.999796573051781
            ],
            [
                1.892515046555882e-05,
                1.1478772230198667e-05,
                2.7535697651475977e-05,
                2.1444943294263477e-05,
                1.1478765385746131e-05,
                6.962258739169842e-06,
                0.0001088969215061564,
                6.962257908753841e-06,
                1.012998977088337e-05,
                1.6701419849447602e-05
            ],
            [
                0.9980732651642932,
                0.9998415637456812,
                0.999373665830195,
                0.01798620756043887,
                0.9959298615064162,
                0.9994472214544056,
                0.06754669630158146,
                0.999569442916997,
                0.9995694429146548,
                0.9902915255331627
            ],
            [
                0.9999994284996211,
                0.999999730042126,
                0.9999996072136593,
                0.9999997617630332,
                0.9999986290424664,
                0.9999986290427932,
                0.9999993524054334,
                0.9999991684717742,
                0.9999990577549569,
                0.9999996072139402
            ],
            [
                0.9999990577552937,
                0.9999990577551814,
                0.9999994284993485,
                0.9999994284994849,
                0.9999986290426297,
                0.9999991684721706,
                0.9999989322972572,
                0.9999980052707541,
                0.999998446502801,
                0.9999992661791944
            ],
            [
                3.535626334953767e-05,
                0.9990889489820288,
                0.9953904268869295,
                0.9796676475848896,
                1.4738980212296288e-05,
                0.9968273174226022,
                0.9975273765642656,
                0.9984988180887695,
                0.9982992778674536,
                0.9968273175367371
            ],
            [
                0.9999991684717742,
                0.9999952149072169,
                0.9999938558261307,
                0.9999989322972573,
                0.9999952149032236,
                0.9999945777810304,
                0.9999945777797375,
                0.999997438716568,
                0.99999457778297,
                0.9999987901347491
            ],
            [
                8.93969736955767e-06,
                2.1444958636771547e-05,
                6.144173136645595e-06,
                1.3007123812767362e-05,
                6.144176798590883e-06,
                2.1444958636771547e-05,
                1.4738976700366126e-05,
                6.605214465761795e-05,
                4.785093924103951e-06,
                2.5612831266608576e-06
            ],
            [
                0.998830489716586,
                0.9980732655392742,
                1.1478772230198667e-05,
                0.999373665820467,
                0.9940889300328243,
                0.9997040428297409,
                0.9875683501072655,
                0.9971990732065132,
                0.9988304898635907,
                0.9999038976079088
            ],
            [
                2.56128282131428e-06,
                7.484626276668181e-05,
                5.422218969601935e-06,
                5.422220908703723e-06,
                2.430023492769181e-05,
                1.8925150487521332e-05,
                8.939697368663308e-06,
                6.96225541916544e-06,
                2.144495096083526e-05,
                4.006371126555232e-05
            ],
            [
                0.9999986290427932,
                0.9999989322975119,
                0.9999980052707542,
                0.9999992661788445,
                0.9999980052700412,
                0.9999986290429567,
                0.9999970976883614,
                0.9999977396765105,
                0.999999266179107,
                0.9999986290421394
            ],
            [
                0.04742587788985982,
                0.99896776892147,
                0.08509904848750825,
                0.9990889487733333,
                0.9996200155623665,
                0.06008664785971319,
                0.9998766054398349,
                0.9994472213207883,
                0.998830490004612,
                0.999195914241241
            ],
            [
                0.9999974387187053,
                0.9999945777790913,
                0.9999984465022455,
                0.9999987901338838,
                0.9999952149049351,
                0.9999989322968753,
                0.9999970976876689,
                0.9999984465015047,
                0.9999990577552937,
                0.9999990577550691
            ],
            [
                0.9999938558261307,
                0.9997694932857603,
                0.9999945777797374,
                0.9999151889890433,
                0.9999945777816768,
                0.9999810748495044,
                0.9999945777816767,
                0.9999938558275956,
                0.9999785550515884,
                0.9999989322972572
            ],
            [
                0.9999993524052019,
                0.9999994956525317,
                0.9999996940976271,
                0.9999994956524716,
                0.9999993524053563,
                0.9999991684720715,
                0.9999996072139402,
                0.9999994284997574,
                0.9999990577552939,
                0.9999992661787571
            ],
            [
                0.9999869928668873,
                0.9999952149055054,
                0.9999852610180336,
                0.999978555043919,
                0.9999724642990565,
                0.999997097687323,
                0.9999945777810312,
                0.9999921107364741,
                0.9999869928699903,
                0.999996273358939
            ],
            [
                0.9959298624388864,
                0.9993736657534638,
                0.999860177892614,
                0.999891103103726,
                0.9999485577924853,
                0.9998415637644292,
                0.9998415637456005,
                0.9998204719913973,
                0.9997694932573558,
                0.9999251537549292
            ],
            [
                0.9940889306484886,
                0.11920291419948609,
                0.9980732651495179,
                0.9968273172289412,
                0.9986749776983233,
                0.9890130573795268,
                0.9995694429093314,
                0.9997388095981592,
                0.9914225153782765,
                0.9875683470086664
            ],
            [
                4.78509563535725e-06,
                7.889264465842609e-06,
                7.889263525893087e-06,
                6.1441738691562974e-06,
                5.422219616085833e-06,
                6.962254589332388e-06,
                8.939694172290508e-06,
                0.0013250224514119334,
                5.422217030362759e-06,
                1.147876812238246e-05
            ],
            [
                0.999999653367379,
                0.9999996940978095,
                0.9999996533672962,
                0.999999495652712,
                0.9999996072139402,
                0.9999991684717741,
                0.9999987901347491,
                0.9999997617631752,
                0.9999993524052018,
                0.9999990577552939
            ],
            [
                0.9993736658956317,
                0.01798621361392022,
                0.9968273175801821,
                0.9968273172768042,
                0.9796676482898262,
                0.9953904271369122,
                0.9968273176530811,
                0.9995121428230627,
                0.9978172831464441,
                0.02595735583206148
            ],
            [
                1.1478764019077695e-05,
                0.9999962733616048,
                4.7850956352353935e-06,
                1.6701417859519093e-05,
                3.2887482811220126e-06,
                5.14422381608502e-05,
                3.12019225291377e-05,
                8.939699497042417e-06,
                1.1478766757049986e-05,
                0.9999977396746245
            ],
            [
                1.670142979875954e-05,
                3.5356246473207964e-05,
                8.93969417214416e-06,
                0.0028009274548572863,
                2.7535700934898458e-05,
                5.14422073226941e-05,
                4.539787401825028e-05,
                6.605212085976786e-05,
                1.1478769492893215e-05,
                1.670141785651155e-05
            ],
            [
                1.4738981970956057e-05,
                0.9989677690467954,
                2.4300240728958537e-05,
                0.9626731111833768,
                1.670142980726572e-05,
                5.422221555192784e-06,
                0.9984988178961235,
                1.892515275165658e-05,
                0.9796676444312251,
                2.7535704224732304e-05
            ],
            [
                4.2228324377164004e-06,
                0.0017007220878766688,
                7.889264466344872e-06,
                2.2603240283888175e-06,
                1.4738980213341866e-05,
                7.484620936173245e-05,
                4.22283344433731e-06,
                0.0011695102495526907,
                1.5534973841705173e-06,
                8.939694172542558e-06
            ],
            [
                0.9999986290431201,
                0.9999980052709919,
                0.9999977396765105,
                0.9999992661786695,
                0.9999980052695652,
                0.9999974387184001,
                0.9999970976876691,
                0.9999957771670592,
                0.9999987901346049,
                0.99999862904312
            ],
            [
                9.610244908760198e-05,
                7.484624483724302e-05,
                7.889262585441413e-06,
                1.4738976699427788e-05,
                1.300713466281145e-05,
                3.5356254894393866e-05,
                0.0002959571664014533,
                3.535625066740153e-05,
                2.1444943298320236e-05,
                3.120191507333991e-05
            ],
            [
                0.00015843616012668012,
                2.1444948412722418e-05,
                3.120191137126484e-05,
                0.00013982212377704244,
                3.535626334953767e-05,
                3.7266388396975786e-06,
                1.1478769493540482e-05,
                5.829124465589078e-05,
                1.6701421842140854e-05,
                4.006368738595465e-05
            ],
            [
                0.9149009509324104,
                0.9820137918144735,
                0.9986749776753701,
                9.610239201366058e-05,
                0.9959298623048674,
                0.00013982205729505754,
                0.9978172836347756,
                0.9890130591606405,
                0.991422515069401,
                0.9984988178666333
            ],
            [
                0.99330714805412,
                0.9933071501251718,
                0.9968273173349762,
                0.9859363731117174,
                0.9933071476300033,
                0.0002034269725502577,
                0.9982992772780512,
                2.1444958635523312e-05,
                1.1478769493331685e-05,
                1.8925157262061825e-05
            ],
            [
                3.726638395493353e-06,
                1.89251482372248e-05,
                4.5397884859458064e-05,
                0.004609572335346366,
                6.144173869379821e-06,
                6.1441746018123775e-06,
                3.1201922523121745e-05,
                0.0002959571694755581,
                1.0129993393945642e-05,
                0.0011695102734868752
            ],
            [
                0.9971990728703003,
                0.9859363724143846,
                0.9975273765246404,
                0.9978172837169249,
                0.9968273176670718,
                0.9982992777423391,
                0.9933071482770135,
                4.539787945561647e-05,
                0.16451645470385742,
                0.9986749777189657
            ],
            [
                1.3007126913346863e-05,
                3.12019076363863e-05,
                7.484623608435025e-05,
                4.00636778475281e-05,
                1.473898372822193e-05,
                5.144223816384438e-05,
                1.3007130014636887e-05,
                2.753570422373059e-05,
                3.53562507106181e-05,
                5.829129327005879e-05
            ],
            [
                1.5534979397394734e-06,
                1.0129990977004428e-05,
                1.6701425825492673e-05,
                4.539787943778038e-05,
                3.2887502413389517e-06,
                4.222834451327159e-06,
                2.260324567268294e-06,
                3.12019150894581e-05,
                0.0009110511137622795,
                1.6701429801675944e-05
            ],
            [
                0.9999967112513266,
                0.9999967112493665,
                0.9999952149060757,
                0.9999957771675624,
                0.9999980052700408,
                0.9999832985701939,
                0.9999898700041907,
                0.9999957771650454,
                0.9998601779093165,
                0.999998005270992
            ],
            [
                0.9999980052702785,
                0.9999930377462409,
                0.9999938558246667,
                0.9999756997563768,
                0.9999251537817111,
                0.999996273358939,
                0.9999930377462414,
                0.9999930377454103,
                0.9999974387187053,
                0.999997438716568
            ],
            [
                2.144495352533148e-05,
                0.00033535010937249266,
                2.9023109471188266e-06,
                2.1444945856418342e-05,
                3.2887486732358968e-06,
                2.260323758923431e-06,
                1.0129994601688632e-05,
                7.889265406681968e-06,
                2.9023109469842055e-06,
                9.610246072738731e-05
            ],
            [
                1.0129989768616954e-05,
                7.889264466545779e-06,
                1.8925157261545463e-05,
                2.144495096387783e-05,
                6.9622595694023114e-06,
                1.0129987356541108e-05,
                1.8925141465820123e-05,
                7.889263525893087e-06,
                8.93969523678858e-06,
                6.144173869072478e-06
            ],
            [
                1.994729483680993e-06,
                4.2228344511197656e-06,
                5.1442207520496894e-05,
                8.93969630362837e-06,
                2.2603242978377903e-06,
                8.939694172290508e-06,
                3.2887502414436403e-06,
                2.9023109470554753e-06,
                5.422220908560712e-06,
                6.144175334094145e-06
            ],
            [
                1.012999459934851e-05,
                3.7266383953679482e-06,
                1.300713466420736e-05,
                2.43002523073625e-05,
                1.3007131562514014e-05,
                1.7603432132624344e-06,
                2.4300246517938825e-05,
                5.42222090821551e-06,
                1.3007125360809367e-05,
                0.00017952798686028367
            ],
            [
                0.9770226310517259,
                0.9995121427636566,
                0.9947798745893618,
                0.97966764739938,
                0.9968273168048011,
                0.9902915220500793,
                0.9968273164771235,
                0.06754668879328725,
                0.9740426442150328,
                0.9964063975319624
            ],
            [
                1.1478770861650256e-05,
                6.144175333635923e-06,
                7.8892654060075e-06,
                1.4738985479214553e-05,
                1.6701419848961534e-05,
                5.829125146227052e-05,
                6.962257078819179e-06,
                1.1478766749992709e-05,
                8.939696300376156e-06,
                3.726641061027928e-06
            ],
            [
                9.610241481708411e-05,
                0.37754066879814546,
                0.9998911030649734,
                0.9998601779429858,
                0.9999646437324528,
                0.999876605469328,
                0.9998766054399156,
                0.9998601779593483,
                0.0850990380460446,
                0.9998601779092962
            ],
            [
                1.7603430034311638e-06,
                8.939693105662367e-06,
                2.5612822106654943e-06,
                7.889264465699106e-06,
                0.00013982207374517024,
                6.962254589617333e-06,
                4.785093353626844e-06,
                1.994729008105057e-06,
                4.222832941072913e-06,
                2.260323758939877e-06
            ],
            [
                0.9996200155619905,
                0.9997388097220108,
                0.9999151889891112,
                0.9996646499304641,
                0.9995694428613839,
                0.9999417087553522,
                0.9997388097849434,
                0.9999898700114358,
                0.9999038975507474,
                0.9986749776915451
            ],
            [
                1.670141786036971e-05,
                8.4811071529799e-05,
                1.1478768124783601e-05,
                0.9999930377412634,
                5.422219615967477e-06,
                2.5612822106841303e-06,
                1.6701423833831836e-05,
                0.999997097686631,
                6.605216820750714e-05,
                7.889260704308795e-06
            ],
            [
                1.0129995807699706e-05,
                7.889266346603015e-06,
                3.726641060956752e-06,
                6.144176065940129e-06,
                8.939699500327152e-06,
                6.144173136885882e-06,
                6.144175334172377e-06,
                1.1478765387416494e-05,
                1.3007128462477575e-05,
                5.422221555192784e-06
            ],
            [
                1.6701419853184244e-05,
                2.4300237830711845e-05,
                2.753569437145972e-05,
                2.7535694377870696e-05,
                2.75357009372024e-05,
                1.8925157264471508e-05,
                1.6701425825492673e-05,
                6.962257909412379e-06,
                5.8291286375037224e-05,
                1.012998977213635e-05
            ],
            [
                1.8925157264023994e-05,
                6.144174601410037e-06,
                5.829126552754713e-05,
                2.5612828213352452e-06,
                3.726638395527247e-06,
                6.144173137014406e-06,
                4.2228349546493465e-06,
                2.5612831265909735e-06,
                1.7603436329978976e-06,
                1.9947290081177566e-06
            ],
            [
                6.605215250517728e-05,
                0.9998911030649734,
                2.753569764776963e-05,
                0.9998204720129986,
                2.4300243622255085e-05,
                4.5397874023865346e-05,
                6.144173869379821e-06,
                5.829126546053932e-05,
                3.120191136263821e-05,
                4.5397879448184774e-05
            ],
            [
                0.99752737728556,
                0.9982992779261567,
                0.9959298620991199,
                0.020332355568774867,
                0.9914225132399074,
                0.9902915231335064,
                1.6701417860795016e-05,
                0.04742587805815602,
                0.9933071489704599,
                0.0024726226639034876
            ],
            [
                6.962257079173776e-06,
                7.889266347133978e-06,
                2.753570418556523e-05,
                8.939695236983711e-06,
                1.6701419848961534e-05,
                6.475947209768052e-07,
                4.785095065045315e-06,
                6.14417460073947e-06,
                1.8925157257965367e-05,
                1.0129993394129904e-05
            ],
            [
                0.9982992778884049,
                0.9990889489872741,
                0.9999599363125995,
                0.99908894876279,
                0.999569442964694,
                0.9997694932321372,
                0.9998766054400162,
                0.9986749775143893,
                0.9993736658266609,
                0.9999687980849072
            ],
            [
                1.5534984953199313e-06,
                1.1478768124992398e-05,
                2.2603242977802297e-06,
                1.5534975692866768e-06,
                2.2603251061232293e-06,
                4.222835457794923e-06,
                2.561282821239737e-06,
                1.5534983101061718e-06,
                2.5612812945889277e-06,
                1.1478773598329648e-05
            ],
            [
                1.3007128463069061e-05,
                6.14417313680765e-06,
                2.753568124348506e-05,
                3.7266379512857925e-06,
                7.889260704631679e-06,
                0.0004305570301330423,
                1.300713001414004e-05,
                4.78509563550957e-06,
                8.939693106329072e-06,
                1.6701423823533284e-05
            ],
            [
                1.1478764020560142e-05,
                1.4738981970312625e-05,
                1.6701415869924985e-05,
                0.9999938558246659,
                3.120191137012976e-05,
                5.422220908925639e-06,
                6.962255419279419e-06,
                2.753568781222975e-05,
                0.9999930377437507,
                3.1201903929204235e-05
            ],
            [
                0.9999974387187053,
                0.999996273358939,
                0.9999724642990605,
                0.999998446502801,
                0.9999785550592579,
                0.999998005269803,
                0.9999977396765105,
                0.9999869928715361,
                0.9999869928668853,
                0.9999938558246662
            ],
            [
                0.9959298613648467,
                0.9947798754913209,
                0.9992903296300836,
                0.9996646499294592,
                1.0129988564099116e-05,
                0.9984988179004859,
                0.9989677689245912,
                0.9990889486283221,
                0.9947798743040235,
                0.9992903297097933
            ],
            [
                1.8925145982866508e-05,
                0.02595735705651388,
                1.473898021151881e-05,
                0.9964063971067784,
                0.9859363721819402,
                0.09534945525903342,
                0.00317268329976114,
                0.014063628399170509,
                2.1444948410303962e-05,
                0.007577240483481803
            ],
            [
                0.9999945777790913,
                0.9999977396751633,
                0.9999982396561572,
                0.9999952149043645,
                0.9999987901344607,
                0.9999990577555185,
                0.9999994284997573,
                0.9999980052709919,
                0.9999967112513268,
                0.9999986290432835
            ],
            [
                4.5397852394305204e-05,
                2.7535697664698622e-05,
                6.605215251046346e-05,
                4.5397857817300854e-05,
                1.3007128463873485e-05,
                1.3007130013572209e-05,
                1.1478768125201194e-05,
                6.96225541916544e-06,
                1.4738983727900215e-05,
                2.1444958637356654e-05
            ],
            [
                0.015906390137353562,
                0.9986749778938108,
                1.4738985485166298e-05,
                0.9940889316253424,
                0.9982992779571883,
                0.015906394802424083,
                0.9971990735648367,
                0.18242551936144574,
                0.9989677689224304,
                0.20181322226037882
            ],
            [
                1.9947301970587145e-06,
                2.5612825160271407e-06,
                3.288750241473551e-06,
                2.5612828213352452e-06,
                3.7266397283231055e-06,
                1.9947290081177566e-06,
                3.726638395527247e-06,
                1.2098652507715085e-06,
                5.42222155240158e-06,
                1.2098656834613962e-06
            ],
            [
                0.00012339458930993918,
                4.785094493932679e-06,
                1.8925157257965367e-05,
                1.5534975693488444e-06,
                1.892514598469098e-05,
                4.006367785875045e-05,
                6.962256249606473e-06,
                1.1478764019996392e-05,
                5.829127941979426e-05,
                3.535625913952226e-05
            ],
            [
                1.1478772229300848e-05,
                2.5612812946681295e-06,
                2.260324297607547e-06,
                1.1478768124324254e-05,
                6.962253759670401e-06,
                6.144176799099397e-06,
                0.9999938558261309,
                5.422218969306048e-06,
                2.5612828213690224e-06,
                5.4222215552470286e-06
            ],
            [
                0.9999938558253983,
                0.9999952149032237,
                0.999996273360716,
                0.9999910603068933,
                0.999975699753477,
                0.9999930377404307,
                0.9999945777797379,
                0.9999962733593835,
                0.9999986290429567,
                0.9999974387168734
            ],
            [
                0.9947798748481008,
                0.9984988175282811,
                9.61024378393533e-05,
                6.144172403928222e-06,
                0.9997694932585227,
                0.9980732651190716,
                4.0063692183734794e-05,
                4.5397863219323224e-05,
                0.9980732652256334,
                0.9996200155153504
            ],
            [
                0.9982992774689844,
                0.9998204720980979,
                0.999704042865614,
                0.9968273172480864,
                0.9992903295331607,
                0.9984988177198802,
                0.9978172837402512,
                0.9982992774365692,
                0.017986210192387036,
                0.9993736659012061
            ],
            [
                0.06754669442450784,
                0.997199072939884,
                0.9990889487050398,
                0.9986749777302112,
                0.9992903297072753,
                0.99849881754259,
                0.9993736658353688,
                0.22270014398423355,
                0.998073265349657,
                0.9995121428251914
            ],
            [
                0.999975699747687,
                0.9999952149037944,
                0.9999945777823235,
                0.9999599362935263,
                0.999998239656367,
                0.999997097686977,
                0.9999785550567011,
                0.9999945777797377,
                0.9999974387168734,
                0.9999967112505428
            ],
            [
                0.9991959142456838,
                0.9998766054251126,
                0.9996646497305981,
                0.9986749778542203,
                0.9984988178797207,
                0.9982992773045367,
                0.9996200155152066,
                0.998498817699115,
                0.998830489860871,
                0.990291521315856
            ],
            [
                3.120190392409636e-05,
                5.144223202914764e-05,
                1.0129993393945642e-05,
                1.4738987235622935e-05,
                6.962257909121104e-06,
                4.0063696941289896e-05,
                2.1444956079218013e-05,
                1.4738985484227961e-05,
                2.144495607789177e-05,
                3.535626755428014e-05
            ],
            [
                1.67014178590634e-05,
                0.9999921107374156,
                7.889265406904397e-06,
                4.222834954687752e-06,
                2.260324028372372e-06,
                4.22283545808297e-06,
                4.785096775920397e-06,
                0.9999339478317867,
                0.999933947847567,
                4.785095065132354e-06
            ],
            [
                0.9991959141462119,
                0.9997694931755629,
                0.9996200155594701,
                0.9984988178709958,
                0.9993736659713427,
                0.9994472213852655,
                0.9988304894575255,
                0.9996200155144881,
                0.999373665822981,
                0.9988304898902447
            ],
            [
                1.0129988563343644e-05,
                2.144495860837422e-05,
                2.7535687813231466e-05,
                8.939700566565793e-06,
                6.144174601588856e-06,
                1.3007125360478133e-05,
                0.0001398221071356907,
                3.5356250696598434e-05,
                3.120191879107958e-05,
                0.00015843619686210122
            ],
            [
                5.422219615898437e-06,
                1.8925152744771773e-05,
                7.889260704423598e-06,
                8.939699499823059e-06,
                6.144177531599359e-06,
                1.994729483680993e-06,
                6.144174601588856e-06,
                4.222831934202483e-06,
                5.42221767672807e-06,
                5.422220262195015e-06
            ],
            [
                1.8925157260443894e-05,
                4.222834451169694e-06,
                3.5356246478738656e-05,
                4.785096776303374e-06,
                1.3007134662054344e-05,
                6.144175333837093e-06,
                5.4222183231674305e-06,
                1.0129994602057158e-05,
                4.785093924156175e-06,
                5.422220262264056e-06
            ],
            [
                9.610240335209681e-05,
                2.9023109470871505e-06,
                1.3007128464559612e-05,
                5.1442219781089866e-05,
                5.144223813015987e-05,
                6.962253759581752e-06,
                0.9999977396754328,
                0.999997438717484,
                0.9999974387187054,
                1.3007123812767362e-05
            ],
            [
                0.9999885212264016,
                0.9999756997476862,
                0.9999756997534821,
                0.9999984465015047,
                0.9999957771655489,
                0.9999810748427385,
                0.9999910603047621,
                0.9999967112517187,
                0.999994577780384,
                0.9999938558232011
            ],
            [
                6.144177531599359e-06,
                2.561281905376098e-06,
                2.2603251061664e-06,
                1.1478770861441461e-05,
                2.9023109471188266e-06,
                2.9023133690821773e-06,
                6.144173869240119e-06,
                7.889263526093993e-06,
                2.902310947208574e-06,
                8.315281267834927e-07
            ],
            [
                0.9999921107402363,
                3.12019076363863e-05,
                2.144495352533148e-05,
                5.422217676979575e-06,
                3.2887490653109436e-06,
                2.7535704226635563e-05,
                6.144174601499446e-06,
                0.9999938558246669,
                2.1444943298944354e-05,
                1.0129993394314164e-05
            ],
            [
                3.5356267560968415e-05,
                0.00013982210700345504,
                6.144175334172377e-06,
                1.1478770861650256e-05,
                1.0129987356375273e-05,
                1.300712536258383e-05,
                4.539787944306515e-05,
                4.006370650070828e-05,
                2.1444948404530884e-05,
                5.422218969601935e-06
            ],
            [
                1.6701421841259862e-05,
                2.4300232031037035e-05,
                8.939698434495167e-06,
                5.422220908634683e-06,
                3.1201911351060354e-05,
                3.535625064142013e-05,
                2.4300234933172706e-05,
                4.785095635296322e-06,
                2.1444943291142893e-05,
                1.3007133114011233e-05
            ],
            [
                0.9995694430152217,
                0.9997388097221476,
                0.9975273769249129,
                0.9971990732175684,
                0.20181322946142374,
                0.9991959140438871,
                0.9988304897606466,
                0.9995121427703552,
                0.9982992774913192,
                0.9996646498900617
            ],
            [
                6.475946438042047e-07,
                2.753570422573402e-05,
                1.1478770861650256e-05,
                2.561281600049467e-06,
                3.466325384661554e-07,
                5.422219615967477e-06,
                4.785095065093186e-06,
                6.475951069961737e-07,
                3.726638395493353e-06,
                5.04347408197782e-07
            ],
            [
                0.9996646497312811,
                0.9997965729297487,
                5.829129331925442e-05,
                0.9991959142403056,
                0.9990889486628662,
                0.9982992778884049,
                0.9988304897344005,
                0.9986749773746673,
                0.9998415637268017,
                0.9995694429172851
            ],
            [
                0.9978172836596233,
                0.9890130585635626,
                0.9982992779303075,
                0.998674977386683,
                0.014063625790629128,
                0.9986749778354264,
                0.9988304894730283,
                7.88926352599354e-06,
                0.9933071476516734,
                0.0953494616857507
            ],
            [
                0.9999724643122142,
                0.9999646437324665,
                0.9999756997476936,
                0.9999687980997913,
                0.9999869928684356,
                0.9999921107364751,
                0.9999724643056253,
                0.999948557780225,
                0.9999687980849346,
                0.9999810748585392
            ],
            [
                6.144177531599359e-06,
                6.9622595694023114e-06,
                2.9023133690637e-06,
                4.222833443891798e-06,
                6.605214465281235e-05,
                2.561282821239737e-06,
                3.2887506334560605e-06,
                2.9023109471689794e-06,
                5.829125857951634e-05,
                1.6701417861584877e-05
            ],
            [
                0.9999987901347493,
                0.99999893229713,
                0.999999266178757,
                0.9999974387187054,
                0.9999991684715758,
                0.99999976176309,
                0.9999987901344608,
                0.9999993524053563,
                0.9999993524054334,
                0.9999996533672549
            ],
            [
                1.1478764019787597e-05,
                7.338212429562581e-07,
                4.785093353909723e-06,
                8.93969630348202e-06,
                3.7266392840781026e-06,
                1.3709578605729614e-06,
                1.553497384196656e-06,
                1.0129994602222992e-05,
                2.902310947190096e-06,
                1.5534975693792215e-06
            ],
            [
                1.8925157260443894e-05,
                1.0129993395088066e-05,
                4.785093924330255e-06,
                1.3007125363057018e-05,
                4.0063692179945426e-05,
                1.0129988564264954e-05,
                3.53562633540394e-05,
                6.144177531007026e-06,
                1.9947294836483373e-06,
                3.1201926246083686e-05
            ],
            [
                0.9997388097841076,
                0.999954602147616,
                0.99994170874838,
                0.9999151889587182,
                0.9993736657507312,
                0.9999151889283524,
                0.9988304900073318,
                0.9999038975736347,
                0.9999151889586936,
                0.9999724643089074
            ],
            [
                1.012998735687278e-05,
                4.785095065093186e-06,
                1.1478768124783601e-05,
                6.144176796780352e-06,
                6.1441767989541075e-06,
                2.9023109471689794e-06,
                1.1478770859917257e-05,
                1.012999580884213e-05,
                0.9997694933141044,
                2.430024072471526e-05
            ],
            [
                0.9953904276646536,
                2.4300243622255085e-05,
                0.999290329542077,
                0.9992903294508918,
                0.9991959141452298,
                0.9984988174049108,
                0.007577240455468269,
                0.9980732651119077,
                0.9982992774913192,
                0.9997388097534734
            ],
            [
                0.9953904275727796,
                0.9933071494998319,
                0.0006263342451881484,
                0.9968273177937248,
                2.14449535222109e-05,
                3.535625068000635e-05,
                0.966914022326357,
                0.00017952792316389146,
                0.000379984530482849,
                0.002472623048096056
            ],
            [
                7.889262585082652e-06,
                0.20181321505933408,
                0.9982992772640178,
                0.9988304894575255,
                0.9978172839370036,
                0.9959298622557899,
                0.9964063974269168,
                1.0129992187105678e-05,
                0.9991959142495186,
                3.1201926246083686e-05
            ]
        ]
    },
    {
        "q_id": "10631_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999151889487236,
                0.9999251537736917,
                0.9999599363224281,
                0.9995121428425618,
                0.9998911030399845,
                0.9998766054557134,
                0.9998601779103621,
                0.9999724643187882,
                0.999704042990352,
                0.9988304896141856
            ],
            [
                0.9998766054548427,
                0.9999546021476443,
                0.9998601779764474,
                0.9999251537731472,
                0.9997388096299258,
                0.999941708706802,
                0.9998415638219251,
                0.9999251537908458,
                0.9998766054109486,
                0.998498817655665
            ],
            [
                0.9999038975743249,
                0.9996200155331155,
                0.9975273773395422,
                0.9999417087485551,
                0.999981074842747,
                0.9999546021098314,
                0.9999339478639905,
                0.9999417087488702,
                0.9999646437325401,
                0.9999339478635177
            ],
            [
                0.9999339478790701,
                0.999941708741613,
                0.999954602142343,
                0.999915188979517,
                0.9998911031315932,
                0.9998601778768068,
                0.9999485578049299,
                0.9999646437325495,
                0.9999038976082765,
                0.9986749773412388
            ],
            [
                0.9999646437369003,
                0.9999038975394349,
                0.9982992773978291,
                0.9999038975968856,
                0.999903897596873,
                0.9999038975629786,
                0.9991959139013901,
                0.9999339478566389,
                0.999915188959076,
                0.999664649937528
            ],
            [
                0.9997694933421132,
                0.9998204719922227,
                0.999964643753547,
                0.9993736659170916,
                0.9997040428730797,
                0.9940889323586668,
                0.9995694429783968,
                0.9999646437494599,
                0.9992903296947677,
                0.9999339478241169
            ],
            [
                0.9995121427824747,
                0.9998204719497045,
                0.9997040429043116,
                0.9997694932341492,
                0.9991959138919433,
                0.999738809633718,
                0.9995694428820509,
                0.9999038975856053,
                0.9996200154321409,
                0.9998766054549899
            ],
            [
                0.9999417087486158,
                0.9996200155713761,
                0.9997040429448002,
                0.999569442883078,
                0.9999599363126873,
                0.9997965730286336,
                0.9999038975513151,
                0.9999339478397375,
                0.9997965729319299,
                0.9997040430105791
            ],
            [
                0.9971990725366886,
                0.9978172840014046,
                2.7535684494049335e-05,
                0.999195913908218,
                0.9995694430195555,
                0.9933071502799589,
                0.9997965729329836,
                0.9971990728468889,
                0.9902915218083228,
                0.9994472212822629
            ],
            [
                0.9999251537375736,
                0.9998601779788338,
                0.9999251537908795,
                0.999933947880322,
                0.9996646497782693,
                0.9997694933428107,
                0.9999339478243134,
                0.9999251537821963,
                0.9999756997506137,
                0.9995121429629633
            ],
            [
                0.9997388097885533,
                0.9997965731006301,
                0.9995121429447696,
                0.9990889486309712,
                0.9997388097588692,
                0.9991959140863509,
                0.9998415637278713,
                0.9999756997622258,
                0.9998766054254321,
                0.9998911031040659
            ],
            [
                0.9999898700102311,
                0.9999546021100415,
                0.9997965730574429,
                0.9993736659514495,
                0.9999852610180473,
                0.9998766053815955,
                0.9986749772934836,
                0.9996646498250527,
                0.9993736657795145,
                0.999972464318766
            ],
            [
                0.9998766053976231,
                0.9993736658534403,
                0.9995694428794707,
                0.999841563803788,
                0.9999151889797552,
                0.997199072632285,
                0.9998766054552628,
                4.006371123115648e-05,
                0.9995694429690652,
                0.9980732655292001
            ],
            [
                0.9998204719927661,
                0.9999038975627689,
                0.9998415637459601,
                0.9995121429607778,
                0.9998911030525558,
                0.9995121427740732,
                0.9964063966807606,
                0.9998601779601458,
                0.9990889487332262,
                0.9998601779604814
            ],
            [
                0.9999151889387845,
                0.9998911030918178,
                0.9997694933419321,
                0.9998766054709941,
                0.9998601779614926,
                0.9999251537997914,
                0.9999251537560662,
                0.9998204719937298,
                0.9975273772424891,
                0.9999151889187359
            ],
            [
                0.9999417087140932,
                0.9998911030529615,
                0.999964643732509,
                0.9968273173953571,
                0.9999599363030822,
                0.999769493179017,
                0.9999151889386529,
                0.9998601778764935,
                0.9992903294434202,
                0.9999546021369627
            ],
            [
                0.999876605426082,
                0.9998766053978906,
                0.9999724642959317,
                0.9998415637863838,
                0.9999038975741108,
                0.9999417087415676,
                0.999959936312817,
                0.9999151889893895,
                0.9999785550413917,
                0.9997388096344021
            ],
            [
                0.9996200154340975,
                0.994779873418991,
                0.9964063966790933,
                0.9994472212808801,
                0.9997694931780244,
                0.9988304897101944,
                0.999620015415426,
                0.9997040429780987,
                0.999620015429156,
                0.9995694429831314
            ],
            [
                0.999941708727678,
                0.9995694429162079,
                0.9998415637905977,
                0.9996200155424457,
                0.9999417087346094,
                0.9999151889792159,
                0.9998601779444952,
                0.999903897608289,
                0.9997694933411541,
                0.9997694933421802
            ],
            [
                0.9998415637867895,
                0.9997040427719787,
                0.9995121428866693,
                0.9964063968941864,
                0.998073265015644,
                0.979667647918807,
                0.999373665766726,
                0.9988304896487271,
                0.998967768954602,
                0.9995121427762019
            ],
            [
                1.8925141457627214e-05,
                4.539785768204387e-05,
                4.539787934232424e-05,
                8.939695236398313e-06,
                1.473898196763166e-05,
                1.8925152736303473e-05,
                1.8925145972677006e-05,
                1.3007134661628471e-05,
                1.4738981966291175e-05,
                6.962257077033528e-06
            ],
            [
                0.999860177860143,
                0.9999485577742149,
                0.9999485577864038,
                0.9999251537461169,
                0.9999646437578003,
                0.9999251537908125,
                0.9999038976199246,
                0.9999546021206779,
                0.9999151889697322,
                0.9999485577987319
            ],
            [
                0.9998204719718256,
                0.9999724642991112,
                0.999954602115292,
                0.9999339478476496,
                0.9999646437620616,
                0.9997965730036246,
                0.9998601779607826,
                0.9890130597880783,
                0.9988304899714304,
                0.9999151889894006
            ],
            [
                0.9999599362937075,
                0.9986749777604048,
                0.9999038976084849,
                0.9999038975857479,
                0.9995121427746977,
                0.9999546021368871,
                0.9999038975977358,
                0.9999724642991852,
                0.9998911031185465,
                0.9999251537730557
            ],
            [
                0.9997965730045953,
                0.9999339478711851,
                0.9975273765286603,
                0.9999599362983644,
                0.9999485577680443,
                0.9997040428677065,
                0.9994472212660873,
                0.9998601778771954,
                0.9999485577802613,
                0.9997388097564677
            ],
            [
                0.9999417087485437,
                0.9998601779768075,
                0.9959298616026834,
                0.9996200154340975,
                0.9997694932912131,
                0.9997694933446953,
                0.9998415637284775,
                0.9998204720173581,
                0.99984156384148,
                0.9999251537557394
            ],
            [
                0.9999785550516044,
                0.9999151889793257,
                0.9999251537911692,
                0.9999339478397636,
                0.9999485577867631,
                0.9999599363134595,
                0.9998911030394758,
                0.9997388096952828,
                0.9999485577742059,
                0.9999646437451921
            ],
            [
                0.9999910603068971,
                0.9999038975739655,
                0.9995694428777923,
                0.9999756997477172,
                0.9999724642958495,
                0.9999485577620203,
                0.9999646437408781,
                0.9999687980774912,
                0.9999546021314138,
                0.9999485577864778
            ],
            [
                0.9997388095999376,
                0.9998601778774151,
                0.9998204720371885,
                0.9996646498925984,
                0.9990889488045398,
                0.9978172834572928,
                0.9998204719509922,
                0.9998601778935438,
                0.9997694931770854,
                0.9980732653881624
            ],
            [
                0.9999151889192678,
                0.9999339478480908,
                0.9999756997535343,
                0.9999599362935825,
                0.9999151889390473,
                0.9999485577865725,
                0.999948557786439,
                0.9999852610233972,
                0.9999485577864269,
                0.999964643736737
            ],
            [
                0.9998911030397388,
                0.9999417087208576,
                0.999925153755354,
                0.9997965731098938,
                0.9998204720794769,
                0.9999251537464137,
                0.9998601779438991,
                0.999891103116943,
                0.9996646498947839,
                0.9999810748517961
            ],
            [
                0.9968273175617732,
                0.9980732653760735,
                0.9998911030391892,
                0.9982992774885521,
                0.9999599363174858,
                0.9999485578048176,
                0.9984988174338775,
                0.9995694428372849,
                0.9994472213559051,
                0.9996646497422769
            ],
            [
                0.9998766054702185,
                0.998674977608513,
                0.999954602115352,
                0.9953904267608696,
                0.9982992773306271,
                0.9995121429578259,
                0.9993736658743902,
                0.9998766054698882,
                0.9986749775236322,
                0.9999417087420982
            ],
            [
                0.9999339478634797,
                0.9997040428362248,
                0.9998766053817157,
                0.9995694429378394,
                0.9998766054566274,
                0.9996646499019257,
                0.9999339478240112,
                0.9999485577867361,
                0.9998601778937248,
                0.9999038976197681
            ],
            [
                0.9999251537639657,
                0.9999785550464939,
                0.9999251537640588,
                0.9998911031041403,
                0.9999599363127547,
                0.9995694428578767,
                0.9999687980998293,
                0.9999038975855632,
                0.9991959139591465,
                0.9995121428354661
            ],
            [
                0.9995121427749531,
                0.9997040428374907,
                0.9997694933435954,
                0.9990889489411269,
                0.99979657307584,
                0.9997694933146544,
                0.9997694933420528,
                0.9998766054698289,
                0.9995121429073891,
                0.998967769125664
            ],
            [
                0.9997965731014055,
                0.9998415637479703,
                0.998674977663046,
                0.9997388097560724,
                0.9984988176546179,
                0.9999417087277538,
                0.9999417087485157,
                0.9982992772628319,
                0.9999910603047775,
                0.9998911031174627
            ],
            [
                0.9992903297506593,
                0.9999151889695248,
                0.9997388096315142,
                0.9998415638029534,
                0.9991959140283606,
                0.999769493370531,
                0.9998601779105473,
                0.9984988177371555,
                0.9999251537551465,
                0.9998601779281366
            ],
            [
                0.999796573032635,
                0.9998766054703065,
                0.9997388097575164,
                0.9997388096622472,
                0.9982992772511703,
                0.9997965729329836,
                0.9984988177839211,
                0.9989677688700914,
                0.9998766053827391,
                0.9995121429498787
            ],
            [
                0.9994472214691662,
                0.9996200154310243,
                0.9999546021423741,
                0.9998415638221119,
                0.9996200155366308,
                0.9996200154026688,
                0.9986749776350093,
                0.9796676469541566,
                0.9999151889286653,
                0.9998204719517131
            ],
            [
                0.9999756997506082,
                0.9999687980886521,
                0.999704042868955,
                0.9990889487591873,
                0.9998766054265597,
                0.9999339478711913,
                0.9999785550465158,
                0.9999251537469571,
                0.9999785550567244,
                0.9997388095699112
            ],
            [
                0.9999251537643757,
                0.999915188979554,
                0.999704042903924,
                0.9999038975401032,
                0.997817283970979,
                0.9999756997506293,
                0.9980732655636759,
                0.9978172831388377,
                0.9998415637855447,
                0.9997965729565839
            ],
            [
                0.9999646437367288,
                0.9999546021314046,
                0.9999038976199387,
                0.99990389757428,
                0.9996200154882109,
                0.9999151889392559,
                0.9999546021152467,
                0.9999599363030923,
                0.9999599362935825,
                0.9992903295533048
            ],
            [
                0.9999546021314687,
                0.9999339478712945,
                0.9999687980776499,
                0.9999417087207354,
                0.9999038975513305,
                0.9999485578049051,
                0.9999785550491054,
                0.9999485577863896,
                0.9998601779116316,
                0.9999417087347732
            ],
            [
                0.9998601779442042,
                0.9995121427776212,
                0.999373665917711,
                0.9998911030913378,
                0.9996646499747985,
                0.999769493342368,
                0.9996200153994629,
                0.999841563822271,
                0.9999038975401997,
                0.999841563748007
            ],
            [
                0.9986749772961026,
                0.9999599363222255,
                0.9998766053816942,
                0.9999038975632052,
                0.9995121429052887,
                0.9997965730784681,
                0.9997388096644131,
                0.9999339478793945,
                0.9998415637473915,
                0.9998601779606422
            ],
            [
                0.9998766053964202,
                0.9997694932076562,
                0.9999810748585449,
                0.9997388096972435,
                0.9990889490115927,
                0.9999417087555206,
                0.9999151889387524,
                0.9999599363126486,
                0.999941708748489,
                0.9999038975852962
            ],
            [
                0.9998204720789126,
                0.999820472079038,
                0.9996200154917483,
                0.997527376606188,
                0.9997965729809772,
                0.9999038975856053,
                0.9999417087346311,
                0.9993736659146141,
                0.9995121429740611,
                0.9991959142233294
            ],
            [
                0.9999546021152503,
                0.9998415638228749,
                0.9999599362887888,
                0.999876605469908,
                0.9998415638222387,
                0.9999251537909504,
                0.9997040429038208,
                0.9999251537553636,
                0.9998601779771431,
                0.9997965729797639
            ],
            [
                1.0129994599624903e-05,
                1.892514821299031e-05,
                1.1478764015736973e-05,
                6.962258738574625e-06,
                3.120191504553037e-05,
                7.889259761704902e-06,
                1.0129992182443859e-05,
                1.8925145972677006e-05,
                4.785093923916815e-06,
                2.5612828206736765e-06
            ],
            [
                0.9999546021098853,
                0.9997965730041041,
                0.9997040427989309,
                0.9997388096303742,
                0.9998204720993777,
                0.999933947871398,
                0.9997388096922429,
                0.9999832985781694,
                0.9998204719706058,
                0.999841563746163
            ],
            [
                0.9998911030920332,
                0.9999756997680822,
                0.9998601779443183,
                0.9999810748518333,
                0.999820471950684,
                0.9996200155354148,
                0.9998766054259134,
                0.9999546021315209,
                0.999290329669794,
                0.9999339478714133
            ],
            [
                4.539788480710582e-05,
                3.535625067794842e-05,
                1.6701425819994037e-05,
                1.4738981968462759e-05,
                1.147876401423365e-05,
                1.3007133097260285e-05,
                2.7535691075316245e-05,
                6.962256248314727e-06,
                1.6701415864001047e-05,
                8.93969736929749e-06
            ],
            [
                0.9991959141030464,
                0.9999251538002685,
                0.9999485577987102,
                0.999968798096135,
                0.9998911030915595,
                0.9999151889597881,
                0.999738809664831,
                0.9999151889490357,
                0.9995121429690089,
                0.9991959141713721
            ],
            [
                0.9998204719723846,
                0.9999339478477957,
                0.9998415638420379,
                0.9999599362935236,
                0.9999832985742085,
                0.999954602120703,
                0.9998415638413141,
                0.9995121428539719,
                0.9999599363032323,
                0.9999038975510453
            ],
            [
                0.999975699762193,
                0.999933947871274,
                0.9999151889794072,
                0.9999599363080075,
                0.9999151889287194,
                0.999975699756396,
                0.9999852610197992,
                0.9998415637674675,
                0.9999687980962159,
                0.9999599362983279
            ],
            [
                0.9998911030398118,
                0.999915188969241,
                0.9999687980775439,
                0.9999417087068457,
                0.9999724643155011,
                0.9995121429190829,
                0.999964643757918,
                0.9999646437620463,
                0.9999485577620361,
                0.9999417087559205
            ],
            [
                0.9999417087485666,
                0.9997694932602265,
                0.9971990730250753,
                0.9971990736305184,
                0.9998204719926486,
                0.9971990735245172,
                0.9998911031303382,
                0.9999251537908882,
                0.9988304900118194,
                0.9999151889186113
            ],
            [
                0.9997694932880742,
                0.9990889486994238,
                0.9999546021477714,
                0.999569442816718,
                0.9998415637274333,
                0.9998911031299643,
                0.9999599363031851,
                0.9997965729550065,
                0.9998415637462529,
                0.9995694429211054
            ],
            [
                0.9997388096301462,
                0.9999251537552962,
                0.9999038975974813,
                0.9998601779438727,
                0.9999151889896758,
                0.9999339478319745,
                0.9999417087070462,
                0.9992903297609378,
                0.9999151889593514,
                0.9998766053819222
            ],
            [
                0.99966464981874,
                0.9996646497437013,
                0.9997040428698419,
                0.999769493179634,
                0.9991959139943616,
                0.997817283599279,
                0.9993736659220831,
                0.989013057339047,
                0.9959298626729477,
                0.999447221400605
            ],
            [
                0.9998415638234881,
                0.9999687980781305,
                0.999941708727773,
                0.9999546021315082,
                0.9997965730316524,
                0.9999038976200365,
                0.9998415638038917,
                0.9999756997650951,
                0.9999724642958217,
                0.9999038975397369
            ],
            [
                0.998299277206303,
                0.9998415637843829,
                0.9993736657693857,
                0.9994472213996403,
                0.9999852610145229,
                0.9996646497745618,
                0.9998415638031701,
                0.9995121429753951,
                0.9978172833366044,
                0.999664649784377
            ],
            [
                0.9999339478318775,
                0.9993736659373128,
                0.9982992776237469,
                0.9999599363126842,
                0.9999724643122159,
                0.9997965730807352,
                0.9999687980999508,
                0.9999687980775908,
                0.9996200154399898,
                0.9990889488145003
            ],
            [
                0.9992903296553464,
                0.9998415637080306,
                0.9997965729567911,
                0.9997694932075155,
                0.9999251537735436,
                0.99990389762047,
                0.9999251537463484,
                0.9999417087145368,
                0.999796572986062,
                0.9998766054559685
            ],
            [
                0.9998204720371415,
                0.9998766054405172,
                0.9998415637280027,
                0.9999151889493899,
                0.9993736657173935,
                0.9997694933408053,
                0.9997694931768373,
                0.9998204719926093,
                0.999891103091455,
                0.999860177911955
            ],
            [
                0.9999038975637295,
                0.9999485577742728,
                0.9999646437620616,
                0.9999546021477094,
                0.9995121428982497,
                0.9999910603005021,
                0.9999756997535832,
                0.9999417087351319,
                0.9999646437619757,
                0.9999599363031332
            ],
            [
                0.9999485577990258,
                0.9999339478318156,
                0.9999546021208747,
                0.9999724642991231,
                0.9998601778615204,
                0.9999485577933053,
                0.9999339478557941,
                0.9998415638033269,
                0.9999852610180356,
                0.9999417087416309
            ],
            [
                0.9998415637660291,
                0.9990889490146657,
                0.9999038976086401,
                0.9999546021368871,
                0.999891103104416,
                0.9995694429932771,
                0.998674977275306,
                0.998830489490435,
                0.9984988178507539,
                0.9999339478716881
            ],
            [
                0.9999251537372486,
                0.9999546021476909,
                0.9999417087485212,
                0.9999885212346216,
                0.9999785550439516,
                0.9999339478319386,
                0.9999251537819677,
                0.9991959139611106,
                0.999954602115328,
                0.9998601779613074
            ],
            [
                0.9999151889895141,
                0.9996200155673632,
                0.9875683513878671,
                0.9997040428789524,
                0.9997388095693566,
                0.9991959139849614,
                0.9989677690961333,
                0.9993736659695209,
                0.9990889489170731,
                0.999796573028888
            ],
            [
                0.9978172839755428,
                0.9995694429172851,
                0.9996200154756637,
                0.9995694429728105,
                0.9998415637844797,
                0.9999151889895993,
                0.9997040427627908,
                0.9978172832427921,
                0.9964063967599616,
                0.9993736656957148
            ],
            [
                0.9999339478239984,
                0.9999151889492702,
                0.9994472214419282,
                0.9999339478791743,
                0.9999038975512872,
                0.9999546021097478,
                0.999948557798992,
                0.9989677688547258,
                0.9999417087488626,
                0.9994472212931003
            ],
            [
                0.9999485577927665,
                0.999964643762004,
                0.9997694933712621,
                0.9998911031044684,
                0.9988304898585592,
                0.9999151889388943,
                2.4300243620398656e-05,
                0.9999810748540389,
                0.9971990733378767,
                0.9999417087554858
            ],
            [
                0.9998911030655866,
                0.9999546021207254,
                0.9999852610233328,
                0.9999546021098764,
                0.9991959141957841,
                0.9999724643122112,
                0.9993736659869003,
                0.9998766053970306,
                0.9999885212291666,
                0.9999724643122602
            ],
            [
                0.9997965729550508,
                0.9997965730078983,
                0.9998601778933708,
                0.9999724643056358,
                0.9990889486278982,
                0.9998911030785635,
                0.9975273769731523,
                0.9994472213492805,
                0.999933947879403,
                0.9997965731018612
            ],
            [
                0.9997040429390825,
                0.9964063968500005,
                0.9992903295584233,
                0.9998766053673704,
                0.9947798742991872,
                0.9995694428267384,
                0.9995694428337527,
                0.999569442973537,
                0.9996200154288465,
                0.9996200155644779
            ],
            [
                0.9999251537472305,
                0.9997694932901198,
                0.999981074849528,
                0.9997965729571698,
                0.9999546021260391,
                0.9999546021206986,
                0.9999687980738071,
                0.9999038975857045,
                0.9999339478793599,
                0.9999599363030979
            ],
            [
                0.9999724642992021,
                0.9999038975627116,
                0.9997965731058568,
                0.999820471992147,
                0.9996646498562156,
                0.9999724643023772,
                0.9999251537906992,
                0.9999546021259709,
                0.9998204721005192,
                0.9999832985742054
            ],
            [
                1.8925150487521332e-05,
                0.9999546021207779,
                0.9998204720774264,
                0.9998415638037211,
                0.9998415637276177,
                0.999769493314044,
                0.9996200154773218,
                0.9998911030653173,
                0.9999251537999275,
                0.999373665947806
            ],
            [
                0.9997388095717352,
                0.9947798740815563,
                0.9997694931772062,
                0.9999038976081464,
                0.9991959139430588,
                0.9999852610110246,
                0.9993736659178931,
                0.9997965730278168,
                0.9975273773745732,
                0.9996200155246253
            ],
            [
                0.9998204720160782,
                0.999620015451929,
                0.9999485577742676,
                0.9997040430218336,
                0.9988304898038912,
                0.9997040428370687,
                0.999978555056716,
                0.999968798077524,
                0.9999546021206901,
                0.9999038976093154
            ],
            [
                0.9999251537373908,
                0.9999485578048909,
                0.9999485578052206,
                0.9999339478399077,
                0.9999485577802952,
                0.9994472213559051,
                0.9999646437324888,
                0.9999339478711562,
                0.9999038975396822,
                0.9999485577683421
            ],
            [
                0.9890130589987212,
                0.9992903295798059,
                0.9998204720570241,
                0.9997388096308225,
                0.9933071496267573,
                0.9989677691832848,
                0.9982992775672181,
                0.9991959140833578,
                0.9994472213328477,
                0.9940889313544502
            ],
            [
                0.9997388097857415,
                0.9982992777211901,
                0.9999921107393023,
                0.9997694932867596,
                0.9990889489800155,
                0.9998911031179681,
                0.9999339478398923,
                0.9998911031303049,
                0.9996646498191499,
                0.9999756997651087
            ],
            [
                0.9998415637843208,
                0.9953904280941112,
                0.9998911030526794,
                0.9982992777858228,
                0.9999599363126748,
                0.9999485577742104,
                0.999941708720878,
                0.9999339478241093,
                0.9995694428198996,
                0.9999687980886837
            ],
            [
                0.9999151889902187,
                0.9999599362887915,
                0.9990889487500744,
                0.9998415638408369,
                0.9998601779771695,
                0.9999687980924301,
                0.9980732655323343,
                0.9990889487932015,
                0.9988304895770604,
                0.9978172839993762
            ],
            [
                0.9996200154461141,
                0.9999417087416249,
                0.9998601779110823,
                0.9999485577987985,
                0.9999785550490763,
                0.9998415638219251,
                0.9999832985702386,
                0.999959936312873,
                0.9999417087486034,
                0.9998415637514189
            ],
            [
                0.9982992776128761,
                0.9996646498148862,
                0.9999485577986598,
                0.9964063967157758,
                0.9996200155202145,
                0.999620015571962,
                0.9989677687589311,
                0.9997388096315978,
                0.9991959138899323,
                0.9989677691334669
            ],
            [
                0.9947798733367749,
                0.9968273172466137,
                0.9971990726628498,
                0.9991959141166088,
                0.9997040427640738,
                0.9992903297411653,
                0.9996200154342634,
                0.9953904280428327,
                0.9999724642957971,
                0.9995694428805729
            ],
            [
                0.9947798739171241,
                0.9997040428014883,
                0.999512142889394,
                0.9998204719710968,
                0.9991959140840126,
                0.9995121429496232,
                0.9996200154760506,
                0.9996646500137668,
                0.9964063968158191,
                0.9992903294700451
            ],
            [
                2.4300246512104316e-05,
                1.6701421835335913e-05,
                1.0129993390610508e-05,
                1.6701421832723305e-05,
                1.67014218283487e-05,
                6.962257905169877e-06,
                2.753570091766895e-05,
                0.9959298614214744,
                0.9995121429598411,
                7.88926070328992e-06
            ],
            [
                0.999876605455182,
                0.9998601779101831,
                0.9997694933690287,
                0.999876605414631,
                0.9998766053992587,
                0.9999251537996939,
                0.9997388096685016,
                0.9997694932071667,
                0.9997694932896973,
                0.9997388097601002
            ],
            [
                0.9999646437451318,
                0.9999038975627116,
                0.9999251537641003,
                0.9999724642957817,
                0.9999251537728716,
                0.9997388097242527,
                0.9999417087415061,
                0.9999810748585837,
                0.9998601778765404,
                0.9999417087068987
            ],
            [
                0.99995460214249,
                0.9996646499782621,
                0.9999339478400942,
                0.9999151889691078,
                0.9998911031043985,
                0.9999485577987319,
                0.9999251537817928,
                0.9999485577681019,
                0.9998911030522754,
                0.9999151889596253
            ],
            [
                0.9999485577864778,
                0.9997965729820724,
                0.9998766053963609,
                0.9999038975513305,
                0.9999687980812002,
                0.9999251537462421,
                0.9999151889591908,
                0.9999599363031149,
                0.9999151889689875,
                0.9999646437535513
            ],
            [
                0.9999546021105482,
                0.9999785550592877,
                0.9999785550490885,
                0.9999724643188425,
                0.9999485577865359,
                0.9999485577864734,
                0.999925153737382,
                0.9999251537642169,
                0.9999251537641798,
                0.9999339478320515
            ],
            [
                0.9997040427655032,
                0.9996646499161315,
                0.9990889488337856,
                0.9997388095708917,
                0.9964063979571461,
                0.998967769023267,
                0.9999339478791816,
                0.9998911031183024,
                0.9998415638437598,
                0.9924227570093065
            ],
            [
                0.999933947872139,
                0.9998415637105156,
                0.9999785550593676,
                0.9989677689499203,
                0.9997694933152848,
                0.999941708748489,
                0.9999151889496195,
                0.9940889325228439,
                0.9999339478399317,
                0.9999646437368711
            ],
            [
                0.9998766053678355,
                0.9999599362935956,
                0.9999599363129185,
                0.9998415637276177,
                0.9999485577803465,
                0.9998911031178113,
                0.9999038976084037,
                0.9999785550464871,
                0.9999339478715306,
                0.9998415638037557
            ],
            [
                0.9999599363031778,
                0.9999151889796861,
                0.9982992773978291,
                0.9995694428311224,
                0.9999251537908708,
                0.9999251537463952,
                0.9978172840216883,
                0.999981074858559,
                0.9997388095732173,
                0.9997965729570042
            ],
            [
                0.9993736658454248,
                0.9998911031304238,
                0.99973880966303,
                0.9968273170374891,
                0.9997694931770854,
                0.9995694428388381,
                0.9993736657165191,
                0.9999251537909688,
                0.9996646499364937,
                0.9995694429287458
            ],
            [
                0.9996646498142715,
                0.9995121427769684,
                0.9998911030781089,
                0.9999151889892723,
                0.9997694933692701,
                0.9997694933134538,
                0.9998911031174801,
                0.9953904268014652,
                0.9998911030791372,
                0.9984988180332791
            ],
            [
                0.9999251537908708,
                0.9999599362983426,
                0.9997965730038614,
                0.999925153773047,
                0.9997965730534354,
                0.9997694933470428,
                0.9999038975397089,
                0.9999756997621821,
                0.9997040428748449,
                0.9999151889491432
            ],
            [
                0.999933947832459,
                0.9996646497445696,
                0.9999339478322495,
                0.9999687980775662,
                0.9999687980887747,
                0.9997965730283436,
                0.9998415637651024,
                0.9999417087485726,
                0.9999339478720668,
                0.9999038975509473
            ],
            [
                0.9999599362983426,
                0.9999852610197931,
                0.9997388096045126,
                0.9997694932968404,
                0.9998766053675968,
                0.9999546021314231,
                0.999975699767971,
                0.9998911030654996,
                0.9998601779267695,
                0.999933947824102
            ],
            [
                0.9998415638220496,
                0.9998766053667942,
                0.9982992773885394,
                0.9997965730036246,
                0.9997388096947052,
                0.9978172836449176,
                0.9994472214919984,
                0.9995694429921247,
                0.9998204719974755,
                0.9986749774407542
            ],
            [
                0.9997040428016003,
                0.9902915249601105,
                0.9995694428695254,
                0.9820137874388593,
                0.9940889312696254,
                0.999876605440896,
                0.9996200155671311,
                0.9997040429050005,
                0.9995694429232848,
                0.9982992778854402
            ],
            [
                0.9997388096972435,
                0.9997694932609373,
                0.9999417087068513,
                0.99998526102158,
                0.9999417087137712,
                0.9999756997681443,
                0.999959936303167,
                0.999983298574179,
                0.9997694932323182,
                0.999983298572192
            ],
            [
                0.9999417087207244,
                0.9999251537376793,
                0.9999724643155167,
                0.9968273169218814,
                0.9999785550413814,
                0.9999417087346201,
                0.9999151889792591,
                0.9998911031299643,
                0.999704042839256,
                0.9999724643089938
            ],
            [
                0.9997965731029267,
                0.9997694932123043,
                0.9991959138976488,
                0.999860177976541,
                0.9998415637283047,
                0.9994472214743114,
                0.9986749773701998,
                0.9990889486376469,
                0.9995694429747894,
                0.9959298631505082
            ],
            [
                1.0129993392342568e-05,
                1.892514823488397e-05,
                2.4300231986394238e-05,
                2.7535691038453127e-05,
                2.430024939965545e-05,
                4.539785778740889e-05,
                2.753570418556523e-05,
                2.1444950947650794e-05,
                5.1442195212374294e-05,
                1.4738981967202704e-05
            ],
            [
                0.9999417087554167,
                0.9999724643154838,
                0.9997040427624033,
                0.9998911030398118,
                0.9999646437537236,
                0.99989110303972,
                0.9959298631712717,
                0.9999599362936163,
                0.999769493265914,
                0.9991959142258081
            ],
            [
                0.9998415637468498,
                0.9999151889388943,
                0.9999251537909144,
                0.9997965730042461,
                0.9999417087555761,
                0.9997965730779355,
                0.9999038975856193,
                0.9999038975858234,
                0.999876605396282,
                0.99987660539644
            ],
            [
                0.9999546021368508,
                0.9996200154772444,
                0.9999852610180443,
                0.9999339478793262,
                0.9999687980999608,
                0.9999251537551797,
                0.9999546021315165,
                0.9998911031173597,
                0.9989677688453624,
                0.9999832985761893
            ],
            [
                0.9997040429730182,
                0.9992903296476272,
                0.9998415637655357,
                0.9998204720797432,
                0.9998911030536601,
                0.9999151889186113,
                0.9975273772304293,
                0.996827316846037,
                0.9995121428704341,
                0.9980732652493636
            ],
            [
                0.9998415638218653,
                0.9997965730541221,
                0.999925153782853,
                0.9997388097958947,
                0.9984988180660848,
                0.999915188959339,
                0.9998204719737271,
                0.999796573056253,
                0.9999038976090511,
                0.9998601779603228
            ],
            [
                0.9997388096619432,
                0.9995694428654172,
                0.9996646497335154,
                0.9991959140042294,
                0.999841563708895,
                0.9997965730292966,
                0.9994472212658301,
                0.999569442865818,
                0.9995121428928001,
                0.9995694429753156
            ],
            [
                0.9996646497460429,
                0.999975699762209,
                0.9999038975632555,
                0.9999251537909688,
                0.9999599363038538,
                0.9999339478637118,
                0.9997388095841455,
                0.999738809664831,
                0.9999724643023841,
                0.9999546021377999
            ],
            [
                0.9999251538000473,
                0.9998204719925676,
                0.999959936317427,
                0.9997965730043467,
                0.999620015525786,
                0.9998415638232668,
                0.9996646498966767,
                0.9998601779770638,
                0.9999417087555696,
                0.9999251538001431
            ],
            [
                0.9998601779599485,
                0.99883048979546,
                0.9997388096038894,
                0.9988304898173542,
                0.9999485577865307,
                0.9999687980998758,
                0.9998911030394584,
                0.9997965730524824,
                0.9998601779105207,
                0.9997388096319094
            ],
            [
                0.9994472212821022,
                0.9978172840024189,
                0.9999417087068746,
                0.9999417087557465,
                0.9998601778935703,
                0.9998601778615204,
                0.9999599362984827,
                0.9998204720361279,
                0.9999151889691399,
                0.999704043012198
            ],
            [
                0.9999724642991131,
                0.9999687980738892,
                0.9999339478711677,
                0.9998415637658608,
                0.9998204721004303,
                0.9999251537644848,
                0.9999599362935498,
                0.9999546021422797,
                0.9999599363078789,
                0.998299277967071
            ],
            [
                0.9999599363031061,
                0.9998601778938571,
                0.9998911030526255,
                0.9998204719947799,
                0.9999485577619656,
                0.9982992778765457,
                0.9992903294428424,
                0.9995694429712824,
                0.9997965730769173,
                0.999704042768629
            ],
            [
                0.9998911030525907,
                0.9998204719713346,
                0.9998204721008692,
                0.9999687980888036,
                0.9991959141102953,
                0.9998601779769336,
                0.999968798073793,
                0.9998911030660191,
                0.9984988180962729,
                0.9999546021373699
            ],
            [
                0.9999687980812221,
                0.9999417087067919,
                0.9999810748428036,
                0.9997040429413729,
                0.9999339478713373,
                0.9988304899983564,
                0.9999599362939535,
                0.99994855776199,
                0.9998601779770903,
                0.9997388096629539
            ],
            [
                6.605212087995142e-05,
                1.8925145967719952e-05,
                2.4300232006903406e-05,
                5.8291272311027895e-05,
                5.144219501700432e-05,
                3.5356267531385634e-05,
                2.4300249411766472e-05,
                3.120191501306697e-05,
                3.5356238010608196e-05,
                1.0129994598482479e-05
            ],
            [
                0.9998766054268039,
                0.9995121429564068,
                0.9997040428016003,
                0.9999852610215618,
                0.9999724643155129,
                0.9999546021206986,
                0.9999724643056938,
                0.9995694428365834,
                0.9999251537553245,
                0.9999756997477727
            ]
        ]
    },
    {
        "q_id": "10460_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999860177892614,
                0.999860177959267,
                0.9998204720982964,
                0.9999038975507067,
                0.9999038975964458,
                0.9998204720124266,
                0.9997388097535417,
                0.999876605381109,
                0.9998204719482784,
                0.9999151889283684
            ],
            [
                0.9995694428578767,
                0.9995121428237439,
                0.999796572978062,
                0.9997965730029882,
                0.9998911030388452,
                0.9998415638209662,
                0.9998766054104226,
                0.9968273164218969,
                0.9998766053810748,
                0.9996646497723958
            ],
            [
                0.9997965729539469,
                0.9997388095667575,
                0.9996646498505665,
                0.9997694932573558,
                0.9984988180591049,
                0.9994472213194379,
                0.9997694932575167,
                0.9996200155161462,
                0.9993736657495652,
                0.9995121429403135
            ],
            [
                0.9999339478631919,
                0.9998601778593477,
                0.9999417087344686,
                0.9998911031037759,
                0.9978172839785854,
                0.9998911031168067,
                0.9997040430063856,
                0.9998601779427884,
                0.9999151889283764,
                0.9999485577741123
            ],
            [
                0.9997965730269643,
                5.144221362431326e-05,
                0.9993736659692295,
                0.9980732655694966,
                0.9959298622086002,
                0.9984988177055714,
                0.9978172839415675,
                0.9993736657487637,
                0.9940889318086735,
                0.9995121428239993
            ],
            [
                1.6701429806475863e-05,
                0.9984988176968465,
                0.9940889305828177,
                0.9989677689328742,
                0.9953904283675966,
                0.9971990734022579,
                0.9989677690380322,
                1.670142980726572e-05,
                0.9978172833959343,
                0.9940889310616677
            ],
            [
                0.9997694933122868,
                0.9999038976079961,
                0.9998601778760113,
                0.9999485577740932,
                0.9997694933399669,
                0.9997040429709516,
                0.9999038975850102,
                0.9996200155608298,
                0.9997388097846623,
                0.9998204719486441
            ],
            [
                0.999738809628649,
                0.9998415637077078,
                0.99986017787593,
                0.00012339458927403105,
                0.9988304894595653,
                0.9998415637645076,
                0.9994472212554109,
                0.9997040429368437,
                0.9997040429362151,
                0.999738809721874
            ],
            [
                0.9989677691644381,
                1.0129992187105678e-05,
                0.998498817545731,
                0.9997040427592259,
                0.9959298624237857,
                0.9990889486568263,
                4.539785779797843e-05,
                0.9995121428819861,
                2.1444940740066406e-05,
                0.9980732653176436
            ],
            [
                0.9978172836875134,
                0.9986749775126949,
                0.9859363756815178,
                0.9975273765728798,
                0.9984988179015329,
                0.9980732655748694,
                0.9978172839096205,
                0.9996200154697271,
                0.9992903295358437,
                3.535626328432693e-05
            ],
            [
                0.9998766054398833,
                0.9997965730757956,
                0.9998601779426236,
                0.9998415638021374,
                4.539786321436876e-05,
                0.9993736658225802,
                5.829127247176183e-05,
                0.999820472055577,
                0.9998415638208902,
                0.999704042865614
            ],
            [
                0.9998204719485109,
                0.9999417087275282,
                0.9999038976194913,
                0.9999485577740842,
                0.9324533135530546,
                0.9999599362982671,
                0.9999251537370629,
                0.9998911031168067,
                0.9999485577924795,
                0.9999417087066693
            ],
            [
                0.999738809722216,
                0.9999599363030355,
                0.9998766054103759,
                0.9996646498098323,
                0.9998911030907721,
                0.9997694933126087,
                0.9996200154238939,
                6.605212104862822e-05,
                0.9999151889384149,
                0.9994472213879668
            ],
            [
                0.9989677691800437,
                0.9996200155606088,
                0.9997694933398059,
                0.9996200155149193,
                0.9989677690458352,
                0.99951214282153,
                5.829126546053932e-05,
                0.9996200154689423,
                0.9998204720339182,
                0.9997388097529946
            ],
            [
                0.9996646497302664,
                0.9997694933679286,
                0.9996646498900617,
                0.9984988175108314,
                0.9999151889183183,
                0.9999151889283214,
                0.9996646497699858,
                0.9997965729297487,
                0.9998911031038535,
                0.999796573026544
            ],
            [
                0.9998415638397973,
                0.9999038976194401,
                0.9999038975965026,
                0.9998415637834978,
                0.00012339453028597998,
                0.9997040427597426,
                0.9996200154705231,
                0.9997965730032102,
                0.9998204719483437,
                0.9998766053956697
            ],
            [
                0.9998911030648276,
                0.9998415637642472,
                0.9997694932022637,
                0.999796573075106,
                0.9998766054251449,
                0.9997965729784409,
                0.9975273772063095,
                0.9998766053809797,
                0.9997040428300853,
                0.9998911030908227
            ],
            [
                0.9988304895873956,
                0.9980732657644866,
                0.9978172838802091,
                0.9980732657734414,
                0.9986749774133334,
                0.9994472213857157,
                0.9993736659721079,
                0.9975273769570725,
                0.9989677691706802,
                0.9984988180603264
            ],
            [
                0.9986749778361966,
                0.9991959141396178,
                0.999796573050908,
                0.9964063974360875,
                0.9993736658227624,
                0.9995121429397175,
                0.9982992772863526,
                0.9990889487672405,
                0.9986749775220917,
                0.9971990729515896
            ],
            [
                0.9997694933400205,
                0.9998415637642979,
                0.9998601779259395,
                0.999796573075402,
                0.9997388096913766,
                0.00033535026860186985,
                0.9998911030907222,
                0.9997965729296244,
                0.9989677687919432,
                0.9998415637078393
            ],
            [
                0.9971990726322849,
                0.9995694430134556,
                0.9994472213851369,
                0.9990889488805157,
                0.9989677689152278,
                0.9990889488700253,
                0.9986749778429748,
                0.9902915254257154,
                0.9982992777128887,
                0.9995694428584153
            ],
            [
                0.9984988180700983,
                0.9964063978771116,
                0.9968273178599966,
                0.9924227601923448,
                0.9984988175336905,
                0.9980732655428561,
                0.9995121427668356,
                0.9947798741879537,
                0.9984988176785242,
                0.9840936105332502
            ],
            [
                0.9988304897290969,
                0.9964063971251197,
                0.99908894876883,
                0.9993736659711606,
                0.00023050668619744495,
                0.999088948759982,
                0.9953904273591192,
                0.00033535026324543917,
                0.9978172831439087,
                0.9924227572054012
            ],
            [
                0.9990889487664457,
                0.9984988175097843,
                0.999195914143967,
                0.9992903294503964,
                0.9991959142505008,
                0.9995121428231761,
                0.9996200155160025,
                0.9996200155151292,
                0.9990889486527997,
                0.9993736657479986
            ],
            [
                0.9959298625030645,
                0.9980732655712875,
                0.9971990725119767,
                0.9971990732364276,
                0.9992903294494058,
                0.9982992776626848,
                0.9940889313407687,
                0.9980732650888492,
                0.9971990725874132,
                0.9995121428796303
            ],
            [
                0.9999151889385013,
                0.9998204720768361,
                0.9998204720126564,
                0.0002959570980564465,
                0.9998766054104226,
                0.999769493202693,
                0.9997388096283755,
                0.9996646497701029,
                0.9998204720552453,
                0.9999038976079961
            ],
            [
                0.999876605454541,
                0.9992903296193512,
                0.999903897573697,
                0.9998911030907222,
                0.9998601778759096,
                0.9999485577679555,
                0.9998601779425421,
                0.9998601778595592,
                0.9998766054545571,
                0.9999417087414205
            ],
            [
                0.9984988175523619,
                0.9992903295351008,
                0.9959298613572963,
                2.4300246523066122e-05,
                0.9984988180395611,
                0.9991959139491385,
                0.9988304895761084,
                0.9989677690509969,
                0.9992903296205894,
                0.9953904280257398
            ],
            [
                0.9994472213197593,
                0.9997388096907535,
                0.9998204720767708,
                0.9997040429708655,
                0.9998601779592263,
                0.9996646497702103,
                0.9992903294486627,
                0.9998601778927565,
                0.999769493257302,
                0.9998204720338529
            ],
            [
                7.484620047216503e-05,
                0.9982992772725169,
                0.9975273767612434,
                0.999447221388417,
                0.9959298616800746,
                3.535625900305562e-05,
                0.9971990736851449,
                0.9968273164623964,
                0.9902915250765117,
                0.9706877711035696
            ],
            [
                0.9579122713334306,
                0.999738809722216,
                0.9991959142440937,
                0.9998601778591687,
                0.9997694933124477,
                0.9997388096284439,
                0.99807326555002,
                0.9997040428298269,
                0.9998415638021121,
                0.9994472213229109
            ],
            [
                0.9982992774731352,
                0.9984988178622708,
                0.9988304897224335,
                0.9984988180646888,
                0.9971990732214704,
                0.998674977361111,
                0.9982992774772859,
                0.9968273172289412,
                0.9984988178589553,
                0.9990889486551838
            ],
            [
                0.9999599363173673,
                0.999915188978879,
                0.9999339478238556,
                0.9999646437366446,
                0.9998766054545571,
                0.9998601779593483,
                0.9998415638209939,
                0.9997694933398595,
                0.9999417087205841,
                0.9999151889182682
            ],
            [
                0.998498818037467,
                0.999195914240633,
                0.9984988180657358,
                0.9989677687950643,
                0.9996200154696498,
                0.9996646497311737,
                0.9995694429107969,
                0.9998204720982624,
                0.9978172837656059,
                0.9991959140555787
            ],
            [
                4.5397857790051276e-05,
                0.9890130569241283,
                0.999088948766022,
                0.9940889324024473,
                0.9971990735004554,
                0.9984988178764052,
                0.9975273768692078,
                0.9953904273292066,
                0.9978172833893422,
                0.9993736657507312
            ],
            [
                0.9999151889284437,
                0.9999417087205921,
                0.9997965730511625,
                0.9999417087205619,
                0.9993736659006232,
                0.9998601779093368,
                0.9998415638209155,
                0.9989677690447547,
                0.9992903297052939,
                0.999796573075106
            ],
            [
                5.144220749598207e-05,
                0.651354857898194,
                6.605212890675706e-05,
                3.120191132631554e-05,
                5.4222183231674305e-06,
                1.892515049702235e-05,
                2.7535704195382043e-05,
                0.9859363741706302,
                0.9046505331728751,
                0.0002034269005686261
            ],
            [
                0.99919591415318,
                0.9992903295378253,
                0.9982992772835855,
                0.9995121429382132,
                0.9989677690488362,
                0.9992903297082659,
                0.9991959142346938,
                0.9990889486507865,
                0.9984988180559639,
                0.0004878571712039534
            ],
            [
                0.9986749775153136,
                0.9990889488850192,
                0.9990889489836183,
                0.9990889486628662,
                0.9990889487596111,
                0.9971990732741459,
                0.9984988178666333,
                0.9982992778897885,
                0.9875683491696821,
                0.9994472213215281
            ],
            [
                0.00017952792282171864,
                5.8291251620035695e-05,
                4.53978848619353e-05,
                6.962255419051463e-06,
                5.8291279382897555e-05,
                0.0017007220441952718,
                0.9992903297188745,
                2.75356812513986e-05,
                0.9840936115245775,
                0.0001233946041687204
            ],
            [
                0.999620015514278,
                0.9996646500100201,
                0.9999038976193912,
                0.9999151889889872,
                0.999860177926084,
                0.9995694429606232,
                0.9997040427945652,
                0.9998601779093165,
                0.9998911030517992,
                0.9996646499694032
            ],
            [
                0.9998415637643255,
                0.9998601778759504,
                0.9997965729297487,
                0.9998415637076294,
                0.9998415637455751,
                0.9998415637647566,
                0.9997040430070055,
                0.9998415638208648,
                0.9998415637831543,
                0.9998601779592853
            ],
            [
                0.9992903294541116,
                0.9988304897284169,
                0.9968273175131738,
                0.9980732652943611,
                0.9975273772063095,
                0.9914225157425912,
                0.9984988178633178,
                0.9971990735459775,
                1.892514824021969e-05,
                0.9953904281026575
            ],
            [
                0.9999038975965836,
                0.9996646497699858,
                0.9999038975621306,
                0.999820472098231,
                0.9990889487672405,
                0.9998204720123953,
                0.9997388097837048,
                0.9998204720982964,
                0.9995121429421017,
                0.999704042794746
            ],
            [
                0.9999151889384297,
                0.9998766054545895,
                0.9996200154703795,
                0.9999151889687783,
                0.9997040428302661,
                0.9998766053663058,
                0.9999339478632202,
                0.9998911031297979,
                0.9998911030518111,
                0.9998766053958151
            ],
            [
                0.998967768940797,
                0.9980732650870582,
                0.9971990724671048,
                0.9990889489767837,
                0.9996646497696542,
                0.999620015561261,
                0.996827316424106,
                0.9986749778429748,
                0.9996200154697271,
                0.9975273765843654
            ],
            [
                0.979667644505429,
                0.9770226303826813,
                2.4300249421225448e-05,
                0.9980732649748998,
                1.0129995809763438e-05,
                0.9840936085797521,
                1.4738988999377379e-05,
                0.9890130596362787,
                4.222833947774596e-06,
                9.610240341642045e-05
            ],
            [
                0.9997040428649165,
                0.9997388096909586,
                0.9998766053959319,
                0.9996200154690086,
                0.9997388097843127,
                0.9997388096908217,
                6.605216038829905e-05,
                0.9996646498098323,
                0.9999339478238224,
                0.999820472076904
            ],
            [
                0.9996646497297103,
                0.9997694933122331,
                0.9995694428580522,
                0.9993736657485816,
                0.9995121427654164,
                0.9996646498106129,
                5.829127941597736e-05,
                0.9992903295334084,
                0.9989677691816041,
                0.9997694931750128
            ],
            [
                0.9993736658231632,
                0.9964063978862823,
                0.9991959139482032,
                0.9988304895800523,
                0.9997965730027248,
                0.9993736658201027,
                0.9997040429711238,
                0.9992903294494058,
                0.9994472213872272,
                0.9992903294464749
            ],
            [
                1.3007134665934505e-05,
                0.867035771827307,
                0.0001398220739587817,
                1.6701429807630274e-05,
                1.8925148236123232e-05,
                1.0129993394664264e-05,
                6.605212889714584e-05,
                1.1478765388523107e-05,
                3.120190764716959e-05,
                0.9525741268224333
            ],
            [
                0.999796572929876,
                0.9998601778760521,
                0.9997388097224972,
                0.9997694933672714,
                0.9999251537728575,
                0.9996646499699592,
                0.999769493285311,
                0.9997040430069108,
                0.9998911030907222,
                0.9995694429107091
            ],
            [
                0.9991959140756882,
                0.9997965730266271,
                0.9997694932852572,
                0.9999151889788864,
                0.0006263341607691469,
                0.9991959139532072,
                0.9998415637454691,
                0.9999251537816801,
                0.9999038975735851,
                0.9998601778927565
            ],
            [
                0.9998415638399517,
                0.9997694933397523,
                0.9999599362982768,
                0.9997388097222843,
                0.9999339478238508,
                0.9999038975850787,
                0.9999417087553089,
                0.999903897608017,
                0.9998204719698353,
                0.9997694931750128
            ],
            [
                0.9999339478317286,
                0.9998415637456812,
                0.9998766054401382,
                0.9998911031037379,
                0.9991959142450758,
                0.9999151889687863,
                0.9999485578048022,
                0.9998766054256351,
                0.9997694932584691,
                0.9999038975966926
            ],
            [
                0.9953904277629374,
                0.9968273170794613,
                0.9993736658969432,
                0.00013982202379876052,
                0.9997040427949182,
                0.9980732657788143,
                0.998498817699115,
                8.93969310662177e-06,
                0.9975273771712785,
                0.9982992772584834
            ],
            [
                0.9964063968850158,
                2.4300246521474893e-05,
                0.997817283194618,
                0.9978172837103326,
                0.9995121427663813,
                0.9990889489792208,
                0.998299277513654,
                0.999195914239043,
                2.4300240725599276e-05,
                0.9988304898622308
            ],
            [
                0.9986749773501736,
                0.9986749775365723,
                0.993307149905374,
                0.998674977827724,
                0.995390428224444,
                0.9991959139516638,
                0.9982992772669825,
                0.9993736658351866,
                0.9988304900052919,
                0.9984988178676804
            ],
            [
                0.9982992774565321,
                0.9996200154687985,
                0.9995694429097949,
                0.9993736658243291,
                0.9997965729780206,
                0.9994472213872272,
                0.9959298627371258,
                0.9992903294521301,
                0.9993736659740389,
                0.9995694428610958
            ],
            [
                0.9984988175261871,
                0.9997040429714769,
                0.999664649850225,
                0.9997694932581204,
                0.9998601779093165,
                0.9997388097843127,
                0.9998911031296458,
                NaN,
                0.0001233945303236835,
                0.9998415638209408
            ],
            [
                0.9999151889586856,
                0.9998911030389086,
                0.9999339478395685,
                1.473898197154587e-05,
                0.9999546021313577,
                0.9997965730507836,
                0.9998204720767708,
                0.9999151889182362,
                0.9999417087414095,
                0.9998601779592466
            ],
            [
                1.473898195422683e-05,
                0.9989677691649183,
                0.9914225153465969,
                0.9992903294541116,
                0.9997040429015819,
                0.9982992776709861,
                0.9953904271775077,
                0.9940889310452499,
                0.2942149659744614,
                0.9980732650888492
            ],
            [
                0.9991959142409604,
                0.996406397982157,
                0.9998204720338842,
                0.9991959140479558,
                0.9999038976193633,
                0.9991959139535346,
                0.99908894876883,
                0.9994472214563673,
                0.9996200154693735,
                0.9988304895860358
            ],
            [
                0.9996646498106129,
                0.9997040428300853,
                0.9998204720766403,
                0.9995121428815036,
                0.9994472213875166,
                0.9990889486523759,
                0.9998204720131032,
                0.9982992778799058,
                0.9997040428650026,
                0.999738809752721
            ],
            [
                5.144223199471459e-05,
                0.9993736658969432,
                0.9998204720339496,
                0.99970404283018,
                0.9995121428218705,
                0.9991959139507285,
                0.9990889486551838,
                0.9995121428228072,
                0.9997040430062134,
                0.9997694932297829
            ],
            [
                0.9999151889384149,
                0.9998204720127244,
                0.9999599363078128,
                0.9999038975735949,
                0.9997965730508666,
                0.00010889693523493799,
                0.9995694430132677,
                0.9999724642957742,
                0.9999599363221545,
                0.999195913953862
            ],
            [
                0.9980732651049679,
                0.9953904270044427,
                0.9978172833913705,
                0.9975273765579485,
                9.610246072738731e-05,
                0.9953904285663009,
                0.9968273178835598,
                0.9990889487575978,
                0.9978172831236248,
                0.9959298613421956
            ],
            [
                0.9999339478474747,
                0.9997694932846602,
                0.9995694430143824,
                0.9994472213845259,
                0.9995694430140943,
                0.9998415637264099,
                0.9998601778760113,
                0.9986749777017122,
                0.00029595713219880964,
                0.9997040428300853
            ],
            [
                0.9149009509324104,
                0.9991959141414883,
                0.9989677690375521,
                0.9989677691659986,
                0.00012339463314837607,
                0.9994472213218496,
                0.999195914141769,
                0.00020342702164493557,
                0.9989677689193093,
                0.9991959140479558
            ],
            [
                0.9989677689308334,
                0.9997694933119682,
                0.9990889489852608,
                0.9975273769042388,
                0.9994472212546711,
                0.9964063967682986,
                0.9996646500099129,
                0.9996200155155605,
                0.999569443012441,
                0.9993736658950487
            ],
            [
                0.9992903294474655,
                0.9997694931749592,
                0.9993736659699947,
                0.9998766053663363,
                0.9995121429393768,
                0.9995694430119901,
                0.999569442910158,
                0.9995121428225802,
                0.9993736659705776,
                0.9989677691758422
            ],
            [
                0.9989677691613169,
                0.9996200155142007,
                0.999738809597118,
                0.9996200154246125,
                0.9988304898707981,
                0.9994472212561827,
                0.9994472213238114,
                0.9995694429104336,
                0.9998911031167671,
                0.9989677688007063
            ],
            [
                0.9986749773594166,
                0.9989677687980654,
                0.9986749773584921,
                0.9990889486523759,
                0.9975273769277843,
                0.9997040430070055,
                0.998967769172721,
                0.9988304894575255,
                0.998967768797105,
                0.9990889489812341
            ],
            [
                0.9968273165934676,
                0.9964063967557931,
                0.00013982213995455397,
                0.9986749776770646,
                0.9924227599822432,
                0.9978172839187484,
                0.9978172834466439,
                0.9924227590647999,
                0.9982992774828201,
                0.0001088969610644462
            ],
            [
                0.9997040430062134,
                0.9998911030390591,
                0.9998415638209939,
                0.9998911030648022,
                0.9998601779260412,
                0.9998766053958151,
                0.9997694933673787,
                0.002472623725745275,
                0.9997694933396449,
                0.9996646499300152
            ],
            [
                0.9995121428211894,
                0.9994472213193091,
                0.9999251537727715,
                0.9993736658956317,
                0.9993736659746218,
                0.9995694430126288,
                0.9998766054698882,
                0.9995121427644797,
                0.9994472213193091,
                0.9989677690442744
            ],
            [
                0.997527376373605,
                2.1444953520884646e-05,
                0.9997040429003505,
                2.7535691095550887e-05,
                0.9998766054105033,
                9.610241492126045e-05,
                7.484624510079911e-05,
                0.9971990736591323,
                0.9992903295341513,
                0.002182716638040914
            ],
            [
                0.9999038976194913,
                0.9998415637076294,
                2.1444953524161264e-05,
                0.9995121428792897,
                0.9997040428299991,
                0.9989677689386363,
                8.481104125710667e-05,
                0.9995121428803398,
                0.9988304897205296,
                0.9996646498897299
            ],
            [
                0.9994472214521223,
                0.9953904273997146,
                0.998073265548229,
                0.9992903296188558,
                0.9914225134854239,
                0.9706877696196289,
                0.9924227581228448,
                0.9994472213197593,
                2.753568453191415e-05,
                0.9980732650745215
            ],
            [
                0.998299277863303,
                0.9995121428803398,
                0.999088948763214,
                0.9986749778506772,
                0.9968273176530811,
                0.997199072878104,
                0.9994472213876774,
                0.9986749776787591,
                0.9988304897212096,
                0.998073265303316
            ],
            [
                0.9991959141383551,
                0.9993736658221795,
                0.9992903296173697,
                0.9993736659703589,
                0.9986749778429748,
                0.9924227585605563,
                0.9975273771798927,
                0.9990889487612006,
                0.9989677691680393,
                0.9890130592011203
            ],
            [
                0.9993736657479986,
                0.9998204719912641,
                0.9940889304487397,
                0.9995694430129044,
                0.9990889488760653,
                0.998073265544647,
                0.9991959140479558,
                0.9997388096909586,
                0.9971990729307796,
                0.9996200154237502
            ],
            [
                0.999891103129622,
                1.8925143728301937e-05,
                0.9997040428658723,
                0.9997388096908217,
                0.9971990726739051,
                0.0006263340808680481,
                0.9998204720766403,
                0.9990889488696014,
                0.00029595720299794193,
                0.9991959139507285
            ],
            [
                0.9978172836550594,
                0.9980732657609047,
                0.9993736658198841,
                0.9971990725386396,
                0.9959298615460556,
                0.9968273176574992,
                0.9902915243781043,
                0.9986749778286483,
                0.9890130560740512,
                0.991422514237813
            ],
            [
                0.9995121429392633,
                0.00013982207332811938,
                0.9993736658971619,
                0.9980732657823962,
                0.0002611904324521725,
                0.9980732653176436,
                0.9992903296198464,
                0.9996646500099129,
                0.9989677689255516,
                0.9986749775237862
            ],
            [
                0.9982992773907137,
                6.60521604084826e-05,
                0.0001795279229261989,
                5.14422381608502e-05,
                4.0063711256516126e-05,
                2.1444958632714784e-05,
                0.9996646499326595,
                0.0005527785295153378,
                1.8925150492616083e-05,
                5.144220750533887e-05
            ],
            [
                0.9996200155147755,
                0.9994472213893174,
                0.9993736657550304,
                0.9995121427635432,
                0.9993736659690473,
                0.9990889486559786,
                0.9989677690421138,
                0.9986749776744458,
                0.9995694429096946,
                0.9992903297050462
            ],
            [
                0.9997388097531315,
                0.9986749776872317,
                0.9995121428804533,
                0.9997694932571948,
                0.9992903295326654,
                0.9999038975506293,
                0.9996200154694398,
                0.9997965730266271,
                0.999820471948213,
                0.9993736659703589
            ],
            [
                0.9989677689172686,
                0.0002959572026190606,
                0.9986749778448234,
                0.9997965730755767,
                0.9988304900027081,
                9.610238037737944e-05,
                0.9997388097536177,
                0.9990889489820288,
                4.539788481668446e-05,
                0.9999151889283061
            ],
            [
                0.9997965730508666,
                0.9997388096595644,
                0.999820471948213,
                0.9998601778925734,
                0.999876605425082,
                0.9997965730993486,
                0.9997388095662711,
                0.9998415637643255,
                0.9996200154700147,
                0.9996646498900617
            ],
            [
                0.9975273772447861,
                0.9999038976079765,
                0.9995121428830364,
                0.9996200155141343,
                0.9992903296208372,
                0.9988304895774684,
                0.9991959142431583,
                3.535624225509145e-05,
                0.9990889488739989,
                0.9997040428302661
            ],
            [
                0.9998204720343205,
                0.9995121428266106,
                0.979667644542531,
                5.144222591859218e-05,
                7.484621833189242e-05,
                0.9998415637644292,
                0.9997694933128837,
                1.6701425824307884e-05,
                0.9998601779594521,
                0.9997040429058099
            ],
            [
                0.9997040429713907,
                0.9995121427644797,
                0.9995121428802264,
                0.999664649849669,
                0.9995121428228072,
                0.9995694428587786,
                0.9990889487655981,
                0.9992903296252953,
                0.9992903296203418,
                0.9994472213857157
            ],
            [
                0.9988304894595653,
                0.9993736658998581,
                0.998073265546438,
                0.9995121429394904,
                0.9989677689157079,
                0.9995121428817306,
                0.9995121428236302,
                0.9995694428600688,
                0.9997040429006089,
                0.9993736659694118
            ],
            [
                0.9989677689465591,
                7.484624505179073e-05,
                0.9984988175249656,
                0.997199072878104,
                0.9994472214510933,
                0.9982992774745186,
                0.00013982207374517024,
                3.120191879981973e-05,
                0.9975273769157244,
                0.9991959140445419
            ],
            [
                0.9999546021097371,
                0.999933947878961,
                0.9999151889789598,
                0.9997694932304871,
                0.9999339478789965,
                0.9999339478631961,
                0.999891103064815,
                0.9998911031167798,
                0.999941708741448,
                0.9999251537549232
            ],
            [
                0.9993736659709419,
                2.1444940731484803e-05,
                0.9995694429607985,
                0.998674977567536,
                0.9986749775085355,
                0.9995121428237439,
                0.9998766053663363,
                0.9996646498494445,
                0.0017007227683974028,
                0.9997040427595703
            ],
            [
                0.9993736659705776,
                0.9924227578777263,
                0.9902915217635532,
                0.9992903295418293,
                0.9982992779052055,
                0.9988304898702542,
                0.9991959141464924,
                0.9995121428222395,
                0.9978172835064808,
                0.9964063971192837
            ],
            [
                0.9959298621689608,
                0.995929861687625,
                0.9986749777120335,
                5.1442238137271045e-05,
                0.9993736659690473,
                0.9984988177306992,
                0.9986749777137282,
                0.99781728397605,
                0.9980732649099776,
                0.9980732649153505
            ],
            [
                0.9992903295378253,
                0.9988304898829012,
                0.9997388096292799,
                0.9997040428304383,
                0.9993736657499297,
                0.9992903295395589,
                0.9997694933402419,
                5.8291258534985854e-05,
                0.9990889487652271,
                0.9994472213216888
            ],
            [
                0.9999339478789332,
                0.9997694933672178,
                0.9996646497696542,
                0.9997965729539883,
                0.9996646498899543,
                0.9998601779091395,
                0.999738809721874,
                0.9997965729301365,
                0.9999151889284265,
                0.9997040428653471
            ],
            [
                0.999738809691027,
                0.9986749775296401,
                0.9992903297060369,
                0.9982992772780512,
                0.9990889486584158,
                0.9996646498904032,
                0.9996646498896129,
                0.9991959141484099,
                0.9997388096599065,
                0.00023050665879231308
            ],
            [
                0.9997965729297074,
                0.9997040428300853,
                0.9997388095970496,
                0.9998911030648276,
                0.9995694428578767,
                0.9959298619028104,
                0.9997388097534734,
                0.9998911031166434,
                0.9991959140442145,
                0.9997040429716577
            ],
            [
                0.9994472213181192,
                0.9964063973535517,
                0.9989677690503967,
                0.9982992774772859,
                0.9980732648920682,
                0.9975273769628152,
                0.9964063978521007,
                0.9980732653550298,
                0.9924227582033835,
                0.9947798733851373
            ],
            [
                0.9997694932851432,
                0.9998601779759286,
                0.999860177892673,
                0.9998911030518491,
                0.999704042831067,
                0.9999485577679709,
                0.9998204720339182,
                0.999704042865967,
                0.9999038975850102,
                0.9997965730750231
            ],
            [
                0.9993736658223981,
                0.999512142940796,
                0.9992903297062846,
                0.9996646500097958,
                0.9997388096593592,
                0.9995121427643663,
                0.9995694429616252,
                0.9993736658235275,
                0.998830490003932,
                0.9995121429377307
            ],
            [
                0.9991959141408338,
                0.9996646499303471,
                0.9998204719482471,
                0.9996646497698786,
                0.999903897562102,
                0.9997040428297409,
                0.9998204720125573,
                0.9997388096285806,
                0.999512142822353,
                0.9997694932572485
            ],
            [
                0.9996646497295931,
                0.9982992772612506,
                0.9997040429716577,
                0.999569442910158,
                0.9996200155139906,
                0.998299277275284,
                0.9991959140454771,
                0.9997040429006089,
                0.9993736657493467,
                0.9994472212525809
            ],
            [
                0.9975273765901082,
                0.9959298623916966,
                0.9968273175949092,
                0.9241418194564431,
                0.9579122761395139,
                0.9933071484441836,
                0.9947798749158082,
                2.7535687805818776e-05,
                0.9971990732474829,
                0.00013982202357701158
            ],
            [
                0.9992903297033537,
                0.9995694428586032,
                0.9984988175118783,
                0.9994472213852655,
                0.9992903294503964,
                0.9993736659721079,
                0.9997694932572485,
                0.9995694429096946,
                0.9999151889282987,
                0.9994472213201774
            ],
            [
                0.999512142822353,
                0.9998911030519949,
                7.889259763728304e-06,
                0.9993736659730552,
                0.9998766054546542,
                0.9994472212554109,
                0.9997388096595644,
                0.9995694429607108,
                0.99908894887082,
                0.999876605410392
            ],
            [
                0.9947798743789853,
                0.9997388097839707,
                0.9997040428660531,
                0.9986749776744458,
                0.9992903294472179,
                0.9992903294543592,
                0.9995694429115358,
                0.9990889488728333,
                0.9995694429092438,
                0.9995121429393768
            ],
            [
                0.9996646497698786,
                0.9971990730062161,
                0.9997040430061273,
                0.9996200154733421,
                0.9997694932845563,
                0.9997694933672178,
                0.9998204719696734,
                0.999820472055543,
                0.9980732657823962,
                0.9992903294508918
            ],
            [
                0.9996646499300152,
                0.9992903297026108,
                0.9998911030517746,
                0.9996646498494445,
                0.9971990728930612,
                0.9995121429392633,
                0.9996646498103884,
                0.0001088968832328988,
                0.9993736659699947,
                0.9996646498505665
            ],
            [
                0.9989677688007063,
                0.9959298622482397,
                0.9989677689470393,
                0.9991959141499999,
                0.9988304895933793,
                0.997527376270809,
                0.9986749775442747,
                0.9959298620991199,
                0.9964063972426704,
                0.9968273172628135
            ],
            [
                0.9998415638209939,
                0.00026119021483609673,
                0.9998911030777563,
                0.9998415638398733,
                5.8291279369750445e-05,
                0.9998766054694268,
                0.9996646498907349,
                0.9997040427974756,
                0.9998415638397973,
                0.9996646497304907
            ],
            [
                0.9999417087205654,
                0.9997388096596329,
                0.99979657307584,
                0.9995121428794033,
                0.9997965729538225,
                0.9998415637078139,
                0.00033535010584056737,
                0.9997040429009619,
                0.999860177892673,
                0.9994472213194379
            ],
            [
                0.9998204720339836,
                0.9995121429421017,
                0.9998415638397465,
                0.9997965730267956,
                3.120192624846737e-05,
                0.9992903297057892,
                3.535626756559877e-05,
                0.9995694429615251,
                0.00010889688319328668,
                0.9982992778856378
            ],
            [
                0.9997694933394873,
                0.9995694428587786,
                0.999915188948523,
                0.9993736657478164,
                0.9998204720337562,
                0.9998911030517746,
                0.9998911031167164,
                0.9995121429382132,
                0.9996646498095005,
                0.999796572978062
            ],
            [
                0.9994472214527333,
                0.9984988177132493,
                0.9993736658225802,
                8.481102108148808e-05,
                4.0063696959216535e-05,
                0.9986749773543329,
                0.9990889487640086,
                0.9997388096906166,
                0.9996646497703273,
                0.9998415638210192
            ],
            [
                0.9996200154692297,
                0.9989677691758422,
                0.9996646499697348,
                0.9991959138819821,
                0.9998204719914313,
                0.9993736658219973,
                0.9999151889485612,
                0.9998204719483437,
                0.9993736658941014,
                0.9994472214549844
            ],
            [
                0.9995121428829227,
                0.9993736658973441,
                0.996406397020074,
                0.9997694933121257,
                0.9990889487624192,
                0.9626731160024469,
                0.9324533074525657,
                0.9995121429397175,
                0.9968273174505837,
                0.9992903296169157
            ],
            [
                0.999738809597118,
                0.9986749776872317,
                0.9995121429385537,
                0.9996200155600339,
                0.9997040430070055,
                0.9990889487607767,
                0.9964063971934826,
                0.9992903295400543,
                0.9989677687924233,
                0.9996200154247563
            ],
            [
                0.9998415637644292,
                0.9998415637266149,
                0.9999151889687783,
                0.9996646499699592,
                0.9997388096285806,
                0.9998601778594738,
                0.9997694933672178,
                0.9997965729781864,
                0.9999251537727529,
                0.9999251537906383
            ],
            [
                0.999915188938561,
                0.9999852610110004,
                0.9997694932022637,
                0.9999546021475963,
                0.9998766054397721,
                0.9999339478474694,
                0.9999151889284097,
                0.9998601779260005,
                0.9999485577618238,
                0.9997040430063856
            ],
            [
                0.9995121427636566,
                0.9997694932023174,
                0.9992903295314682,
                0.9940889305171469,
                0.9978172834004982,
                0.9982992778884049,
                0.9988304895795083,
                0.9990889486527997,
                0.9996646500101373,
                0.998830489858967
            ],
            [
                0.9999251537727409,
                0.9998204720128236,
                0.9997388095973917,
                0.9996200155614821,
                0.9996200155611946,
                0.9989677690385125,
                0.9998766054104872,
                0.9997965729295001,
                0.9997388097842443,
                0.9991959139544699
            ],
            [
                0.9998204720345321,
                0.0001795279867897595,
                0.9999151889384297,
                0.9999251537727964,
                0.999796573002346,
                0.9999339478395777,
                0.9998601779092757,
                0.9997694932849286,
                0.9997694932027467,
                0.9998415637454691
            ]
        ]
    },
    {
        "q_id": "10500_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                6.962253757840428e-06,
                3.28875024125221e-06,
                2.561282210530385e-06,
                1.6701429803316423e-05,
                2.5612815998141903e-06,
                2.561283431627768e-06,
                4.22283193320392e-06,
                2.260324028306588e-06,
                3.288750241204353e-06,
                1.994729245722476e-06
            ],
            [
                8.9396941718352e-06,
                6.962257079465052e-06,
                6.144172404380855e-06,
                2.4300243625614346e-05,
                1.0677027427340866e-06,
                1.4738981970956057e-05,
                1.1478765387667046e-05,
                1.892514146884943e-05,
                1.0129988563343644e-05,
                7.889266347004826e-06
            ],
            [
                0.999997097686977,
                0.9999339478317487,
                0.9999832985721836,
                0.999994577781726,
                0.9999646437492968,
                0.9999974387174841,
                0.9999945777784518,
                0.999989870010228,
                0.9999852610162773,
                0.9999756997621798
            ],
            [
                8.939698434820389e-06,
                1.0129992182112188e-05,
                1.1478773598099973e-05,
                6.962256248606003e-06,
                8.939697367264857e-06,
                6.962257906562937e-06,
                2.144494329769612e-05,
                4.222832436955956e-06,
                1.3007128461838766e-05,
                2.430023783309869e-05
            ],
            [
                0.9999986290421394,
                0.9999984465024306,
                0.9999984465020603,
                0.9999984465018751,
                0.9999980052693275,
                0.999999653367379,
                0.9999989322970027,
                0.9999994284992805,
                0.9999977396762411,
                0.9999986290424663
            ],
            [
                0.9999993524052019,
                0.9999993524050474,
                0.9999997617630049,
                0.9999982396569966,
                0.9999998144608981,
                0.9999987901347492,
                0.9999910603058279,
                0.9999994284996212,
                0.9999996940978825,
                0.9999962733616046
            ],
            [
                4.222832929001819e-06,
                1.1478773598099973e-05,
                5.04347648686092e-07,
                8.315283249923769e-07,
                3.288750241410738e-06,
                7.889264466344872e-06,
                3.7266410609940346e-06,
                6.1441746018123775e-06,
                3.7266388390502134e-06,
                7.889263525405172e-06
            ],
            [
                1.0677026154551157e-06,
                6.1441753313895225e-06,
                7.88926258417858e-06,
                4.4508505192091017e-07,
                4.785094494576774e-06,
                9.422443691893433e-07,
                8.315279284037391e-07,
                7.338213304083124e-07,
                2.260323758835034e-06,
                1.9947299592570416e-06
            ],
            [
                1.1478765388523107e-05,
                1.67014178590634e-05,
                7.889264466230069e-06,
                2.144494329192304e-05,
                1.3007125360146898e-05,
                1.3007131563507714e-05,
                9.422447061953531e-07,
                1.4738987240824012e-05,
                6.144172403067661e-06,
                3.288750633192845e-06
            ],
            [
                5.04347528431602e-07,
                1.5534975693601474e-06,
                1.6701429805655623e-05,
                1.0677027426709671e-06,
                6.475945665853783e-07,
                2.102434162196257e-07,
                5.715005832296933e-07,
                3.288750633488963e-06,
                1.5534975693205863e-06,
                7.338208930078229e-07
            ],
            [
                5.422217030121119e-06,
                3.2887494572873306e-06,
                1.0677026154473471e-06,
                1.1478772230407462e-05,
                1.012998977088337e-05,
                5.422218322851817e-06,
                2.561281599502042e-06,
                5.422217676797111e-06,
                8.939696302652706e-06,
                1.3007134665413997e-05
            ],
            [
                5.4222183221120994e-06,
                3.726638395215427e-06,
                5.4222170304318e-06,
                1.6701415868649062e-05,
                6.962257078819179e-06,
                1.3007123812317831e-05,
                5.829126552373023e-05,
                4.539786316564981e-05,
                2.1444958637356654e-05,
                2.1444945847446664e-05
            ],
            [
                0.9986749773461683,
                0.9999980052693274,
                0.999992110735536,
                0.9999982396559474,
                0.9999987901343165,
                0.9999991684719723,
                0.9999930377445804,
                0.9999980052709919,
                0.9999977396746244,
                0.9999852610162715
            ],
            [
                2.5612812946681295e-06,
                2.260324297702111e-06,
                2.260324567054496e-06,
                1.9947301970287804e-06,
                1.670141586907437e-05,
                3.726638395215427e-06,
                1.7603427935342762e-06,
                1.0677024881266355e-06,
                1.994729483608425e-06,
                1.994729721265813e-06
            ],
            [
                3.726638395320497e-06,
                6.144176798590883e-06,
                6.962259569313662e-06,
                1.1478773598099973e-05,
                2.9023126769762986e-06,
                3.288747889038086e-06,
                4.222835457733473e-06,
                1.4738987242700688e-05,
                2.753569437266178e-05,
                1.147877086073156e-05
            ],
            [
                1.4738980213341866e-05,
                3.288748673265808e-06,
                8.315282258158941e-07,
                7.338208055229508e-07,
                3.7266410609160796e-06,
                4.4508499887035535e-07,
                1.9947294836483373e-06,
                1.8925141463066202e-05,
                4.450851049959619e-07,
                2.5612828212676906e-06
            ],
            [
                2.260323758939877e-06,
                4.785095063939907e-06,
                1.5534984950317006e-06,
                1.4738988995409548e-05,
                1.4738981969240237e-05,
                4.2228324364874005e-06,
                5.422217030555087e-06,
                7.889263524257144e-06,
                0.9997694932025321,
                1.3007123811229494e-05
            ],
            [
                0.9999945777797379,
                0.9999251537549613,
                0.9999852610233118,
                0.9999945777816769,
                0.9999898700041907,
                0.9999339478396017,
                0.9999952149032246,
                0.9999869928668843,
                0.9998911030647897,
                0.9999898700126431
            ],
            [
                0.9999980052705164,
                1.892515042411233e-05,
                4.539787942390787e-05,
                0.999995777165549,
                0.9999984465026159,
                0.9999952149032236,
                NaN,
                2.4300249419722622e-05,
                0.9999977396748938,
                4.006368262694324e-05
            ],
            [
                3.726640616748873e-06,
                6.962257075741783e-06,
                5.1442238103586536e-05,
                1.3007133108948093e-05,
                2.902313368897403e-06,
                1.8925152749659986e-05,
                2.1444953517842076e-05,
                1.3007131561047124e-05,
                3.120191877791261e-05,
                8.939696301611998e-06
            ],
            [
                0.999968798092389,
                0.9999967112517941,
                0.9999885212346119,
                0.9999970976890872,
                0.9999952149038145,
                0.999796572987897,
                0.9999930377445804,
                0.9999869928761876,
                0.9999038975507166,
                0.9999945777823238
            ],
            [
                1.8925157263094544e-05,
                1.012999460150437e-05,
                1.4738980214280206e-05,
                1.3007126911335805e-05,
                2.753569436805389e-05,
                7.889261644501938e-06,
                1.6701415868649062e-05,
                3.120190763491069e-05,
                1.147876949310201e-05,
                1.300713466316634e-05
            ],
            [
                0.9999996533672549,
                0.9999991684720715,
                0.9999992661791945,
                0.9999991684720715,
                0.9999997300422547,
                0.9999938558246657,
                0.9999967112509346,
                0.9999991684718732,
                0.9999992661788446,
                0.9999987901346049
            ],
            [
                0.9999992661787571,
                0.999999057755743,
                0.9999991684722698,
                0.9999977396759716,
                0.9999994956525918,
                0.999998446502801,
                0.9999967112505427,
                0.9999987901347491,
                0.999999352405279,
                0.9999994284995529
            ],
            [
                0.999992110739296,
                0.9999986290427932,
                0.9999962733616043,
                0.999991060305828,
                0.9999987901341723,
                0.999996273360716,
                0.9999977396746244,
                0.9999756997534754,
                0.9999982396567867,
                0.9999982396567868
            ],
            [
                4.785092783415276e-06,
                8.93969630348202e-06,
                6.962255419380732e-06,
                6.605214464272057e-05,
                1.4738988997044936e-05,
                7.88926540679677e-06,
                1.3709568798607528e-06,
                4.222835458002318e-06,
                5.8291251564902706e-05,
                4.222833947774596e-06
            ],
            [
                1.9947290080125335e-06,
                2.7535700933696396e-05,
                0.00010889687027972941,
                7.48462068791879e-05,
                1.6701415868649062e-05,
                3.120192623700302e-05,
                7.484623607019228e-05,
                9.610246067494954e-05,
                4.5397874031792504e-05,
                1.0129989772274546e-05
            ],
            [
                7.889260704179641e-06,
                6.962259569003389e-06,
                1.3709568799368123e-06,
                5.043473480607e-07,
                8.315284241174449e-07,
                6.475951069855719e-07,
                2.561281599881745e-06,
                9.422448185015797e-07,
                1.760343423160973e-06,
                4.4508505192495825e-07
            ],
            [
                0.9999984465026158,
                0.9999992661786695,
                0.9999974387168735,
                0.9999984465022455,
                0.9999994284994849,
                0.9999977396762411,
                0.9999998362622357,
                0.9999991684722698,
                0.9999977396751633,
                1.9947297211642184e-06
            ],
            [
                0.9999987901338839,
                0.9999984465018752,
                0.9999994956523512,
                0.9999991684719723,
                0.999998005269803,
                0.9999974387171787,
                0.9999991684715759,
                0.9999994284995529,
                0.9999977396759716,
                0.9999986290432835
            ],
            [
                0.9999991684719723,
                0.9999996072137998,
                0.9999993524050474,
                0.9999996072137529,
                0.9999991684722697,
                0.9999945777790912,
                0.9999996072136125,
                0.9999938558239333,
                0.9999957771645419,
                0.9999980052695652
            ],
            [
                0.9999997617629764,
                0.9999989322968754,
                0.9999993524050474,
                0.9999994956524716,
                0.9999980052693274,
                0.9999989322973845,
                0.9999987901346049,
                0.9999986290432835,
                0.9999996072138934,
                0.999999730042319
            ],
            [
                0.9999990577554061,
                0.9999977396759716,
                0.9999997897566589,
                0.9999982396559474,
                0.9999995549149481,
                0.9999994956524114,
                0.9999989322975118,
                0.9999997300422868,
                0.9999994284996211,
                0.9999995549147358
            ],
            [
                0.9999986290421394,
                0.9999991684721706,
                0.9999990577552937,
                0.9999991684716749,
                0.9999997897567091,
                0.9999994284995529,
                0.9999996072138465,
                0.9999993524049702,
                0.9999980052695652,
                0.9999962733589389
            ],
            [
                0.9999997300420937,
                0.9999996940978825,
                0.9999996940978825,
                0.9999997300422225,
                0.9999996072137998,
                0.9999997617631752,
                0.9999996072137061,
                0.9999996533675028,
                0.9999996072139402,
                0.999999554914842
            ],
            [
                1.8925152734582275e-05,
                2.1444953522913026e-05,
                9.610243780928898e-05,
                0.00010889690913765778,
                2.4300240728958537e-05,
                3.5356250689524286e-05,
                3.1201918798457626e-05,
                6.962255419051463e-06,
                1.9947301969217434e-06,
                8.939697368663308e-06
            ],
            [
                1.012999097799944e-05,
                1.3007128463873485e-05,
                1.0129990970260453e-05,
                6.144172403715875e-06,
                1.8925157261545463e-05,
                2.7535694375867267e-05,
                1.4738978455701077e-05,
                0.9999417087345169,
                2.14449535222109e-05,
                1.6701419850389357e-05
            ],
            [
                0.9999984465018751,
                0.9999977396759716,
                0.999997097686631,
                0.9999980052693274,
                0.9999938558268633,
                0.9999417087484003,
                0.9999930377412606,
                0.9999957771650455,
                0.9999952149055054,
                0.9999967112501507
            ],
            [
                0.9999810748449914,
                0.9999038975851299,
                0.9999962733593832,
                0.9999980052700408,
                6.475948753741589e-07,
                0.999997097688707,
                0.9999910602994445,
                0.9999970976883612,
                0.9999832985841344,
                0.9999982396572065
            ],
            [
                8.93969630388855e-06,
                1.553498495308628e-06,
                2.90231094702116e-06,
                1.9947306726049992e-06,
                4.222832941072913e-06,
                1.0677026154551157e-06,
                1.0677028700266676e-06,
                5.422220908703723e-06,
                7.889260704423598e-06,
                1.0677029972920738e-06
            ],
            [
                0.9999994284997573,
                0.9999995549150011,
                0.9999992661788446,
                0.999999057755743,
                0.9999998362623722,
                0.9999987901341723,
                0.9999984465022455,
                0.9999998144609644,
                0.9999994284996891,
                0.9999994956523514
            ],
            [
                0.9999982396574162,
                0.9999992661790196,
                0.9999996533673375,
                0.9999996533674615,
                0.9999995549147889,
                0.9999957771680658,
                0.9999994284995529,
                0.999999554914895,
                0.9999982396561571,
                0.9999993524050474
            ],
            [
                1.3709572067955008e-06,
                6.475947209918244e-07,
                1.0677029972745947e-06,
                7.889261644760245e-06,
                7.889260703117714e-06,
                2.902312677007974e-06,
                2.9023130228840374e-06,
                2.4300234934056724e-05,
                3.726637950973972e-06,
                1.3709576970537545e-06
            ],
            [
                0.9999996940978095,
                0.9999997300422547,
                0.9999999123575255,
                0.999999814460876,
                0.9999992661787571,
                0.9999996072138465,
                0.9999992661786696,
                0.9999995549150542,
                0.9999998144609202,
                0.9999998144608098
            ],
            [
                2.9023109467070445e-06,
                2.902310945682868e-06,
                2.561282515820982e-06,
                7.889263525103816e-06,
                1.6701421842566163e-05,
                2.9023126768680736e-06,
                2.7535700945316292e-05,
                2.5612834317908303e-06,
                6.962257902687696e-06,
                5.4222202621161125e-06
            ],
            [
                0.9999992661791945,
                0.9999989322973845,
                0.9999967112517189,
                0.9999987901346049,
                0.9999977396751633,
                0.9999990577551814,
                0.9999994284996893,
                0.9999996072138934,
                0.9999986290426297,
                0.9999982396569965
            ],
            [
                1.7603425837062577e-06,
                3.466327863850901e-07,
                1.9947299591354906e-06,
                2.9023126767360923e-06,
                3.288749064736654e-06,
                6.144173868670137e-06,
                2.9023126770343703e-06,
                3.2887494564079503e-06,
                2.260323758746637e-06,
                9.422445937974445e-07
            ],
            [
                0.9999869928746374,
                0.9999885212332438,
                0.9999977396757022,
                0.9999921107336559,
                0.9999417087563378,
                0.9999832985821401,
                0.9999945777803839,
                0.9999546021313795,
                0.9999485577679585,
                0.9999967112521109
            ],
            [
                0.9999994956524716,
                0.9999977396757023,
                0.9999987901343165,
                0.9999967112497585,
                0.9999977396748938,
                0.9999977396759716,
                0.9999992661786696,
                0.99999862904312,
                0.9999994956524716,
                0.9999984465024306
            ],
            [
                0.9999977396759716,
                0.999998790134028,
                0.999999554914895,
                0.9999832985761665,
                0.9999982396567867,
                0.9999996940976636,
                0.9999938558261307,
                0.9999994956524114,
                0.9999996533672549,
                0.9999957771675626
            ],
            [
                6.144176065828368e-06,
                3.726639282763036e-06,
                1.3007128462785148e-05,
                1.1478765373531616e-05,
                7.889265404759017e-06,
                1.0677031245623505e-06,
                2.9023109469023766e-06,
                1.012999460108057e-05,
                1.7603440525205244e-06,
                1.0129995809044816e-05
            ],
            [
                0.9999970976890535,
                0.9999885212264057,
                0.9999910603026327,
                0.999997097686979,
                0.9999756997564159,
                0.9999986290427931,
                0.9999930377429225,
                0.9999980052709943,
                0.9999885212291424,
                0.9999957771675627
            ],
            [
                1.4738983722270186e-05,
                1.0129995807165349e-05,
                1.6701419848961534e-05,
                1.6701415867707307e-05,
                7.889265406681968e-06,
                6.144176066443055e-06,
                1.1478773595343877e-05,
                1.6701427813872793e-05,
                1.0129992186202796e-05,
                3.726638395320497e-06
            ],
            [
                0.9999962733593831,
                0.9999984465020603,
                0.9999995549150011,
                0.9999970976866309,
                0.9999996940978461,
                0.9999986290424663,
                0.9999989322966208,
                0.9999990577551814,
                0.9999992661790195,
                0.9999962733598274
            ],
            [
                4.2228324375973415e-06,
                5.144220748250827e-05,
                2.75357042110088e-05,
                2.5612828212676906e-06,
                4.00636969277356e-05,
                3.7266410608720178e-06,
                3.120190019636974e-05,
                1.9947301969707264e-06,
                3.5356254902111115e-05,
                7.889261644501938e-06
            ],
            [
                0.9999989322973845,
                0.9999990577552937,
                0.9999993524053562,
                0.9999996533672549,
                0.9999996072137998,
                0.9999993524052789,
                0.9999997617630333,
                0.9999997897566589,
                0.9999986290421394,
                0.9999996940978825
            ],
            [
                0.9999984465026158,
                0.9999921107383574,
                0.9999945777784468,
                0.9999977396757023,
                0.999985261021544,
                0.9525741234565097,
                0.9999930377420914,
                0.9999945777784459,
                0.9999987901340281,
                0.9999957771680666
            ],
            [
                1.7603438428188364e-06,
                7.3382106794623e-07,
                1.3709576970824327e-06,
                5.715007195228928e-07,
                1.370956716450141e-06,
                2.9023123310290063e-06,
                1.7603425837062577e-06,
                3.726637951170554e-06,
                2.561283432005142e-06,
                1.5534979396448094e-06
            ],
            [
                0.9999599362982708,
                0.9999986290426297,
                0.9999962733611603,
                0.9999910603004992,
                0.9999852610110034,
                0.9999970976873229,
                0.9999898700126468,
                0.9999957771650455,
                0.9999967112493666,
                0.9999945777823231
            ],
            [
                0.9999962733598277,
                0.9999898700102282,
                0.9999991684717741,
                0.9999967112501505,
                0.999997438717484,
                0.9999938558239337,
                0.9999952149072172,
                0.9999996940977002,
                0.9999970976866309,
                0.9999952149037941
            ],
            [
                5.829124466818968e-05,
                1.8925143721761383e-05,
                6.605212887648175e-05,
                5.829127242638312e-05,
                4.539788481371178e-05,
                1.30071315640992e-05,
                0.0001233945595618602,
                4.539786320396437e-05,
                8.481103119829716e-05,
                1.892514372640862e-05
            ],
            [
                0.9999982396569966,
                0.9999994284997574,
                0.9999945777817094,
                0.9999952149072171,
                0.9999970976876699,
                0.9999993524051247,
                0.9999930377462407,
                0.9999957771670609,
                0.9999970976876711,
                0.9999991684715759
            ],
            [
                0.9999993524051246,
                0.9999996940978095,
                0.9999994956526519,
                0.9999998874649184,
                0.9999996072137998,
                0.9999993524053562,
                0.9999993524050474,
                0.9999997300422547,
                0.9999997897565838,
                0.9999994284996893
            ],
            [
                1.3709576969627325e-06,
                2.561283431888668e-06,
                5.043473480643696e-07,
                9.422445938231535e-07,
                2.1444948409679848e-05,
                4.450851580469341e-07,
                1.8925150491445666e-05,
                1.9947297213746646e-06,
                4.4508489275752546e-07,
                2.2603237589028734e-06
            ],
            [
                0.9999996072138934,
                0.9999992661786695,
                0.9999998555019274,
                0.9999996072137998,
                0.9999997617630333,
                0.9999997897567091,
                0.9999991684722698,
                0.999999266179107,
                0.999999554914895,
                0.9999994284994167
            ],
            [
                0.9999910603005024,
                0.999891103116832,
                0.9999997617629764,
                0.9999962733611603,
                0.9999687980849129,
                0.999999352404893,
                0.8354835371034369,
                0.9998601778927565,
                0.9999724642990576,
                0.9999982396565769
            ],
            [
                0.999998446502801,
                0.9999993524054335,
                0.9999995549151073,
                0.9999992661791944,
                0.9999987901344607,
                0.9999996533674201,
                0.9999993524050473,
                0.9999989322975118,
                0.9999994284996891,
                0.9999997617631183
            ],
            [
                0.999997438716568,
                0.9999994956523514,
                0.9999980052702786,
                0.9999996533672549,
                0.9999995549149481,
                0.9999997617630899,
                0.9999977396748938,
                0.9999930377412606,
                0.9999987901347491,
                0.9999994284994168
            ],
            [
                6.475947209314536e-07,
                2.430023783150746e-05,
                1.7603425835749741e-06,
                1.2098659718363124e-06,
                1.1478772227964558e-05,
                3.726639728184142e-06,
                6.475945665800774e-07,
                1.2098655392222467e-06,
                0.000158436196984276,
                5.715007195119775e-07
            ],
            [
                0.9999998362623723,
                0.9999994956525918,
                0.999997438716568,
                0.9999998362623528,
                0.999999730042126,
                0.9999998362623137,
                0.9999998362623137,
                0.9999994956524716,
                0.9999997897565838,
                0.9999993524050474
            ],
            [
                6.962255419380732e-06,
                2.902313368963394e-06,
                3.2887482811579057e-06,
                5.715006513900631e-07,
                2.9023123305485934e-06,
                1.7603427933917854e-06,
                1.0129988563914856e-05,
                1.4738980213020151e-05,
                2.9023116384746377e-06,
                1.9947290078746543e-06
            ],
            [
                2.260324567268294e-06,
                2.260323758676741e-06,
                6.962259568509485e-06,
                3.7266401719851935e-06,
                1.3709570432501875e-06,
                1.2098653950205268e-06,
                9.422445938642879e-07,
                7.338211554318006e-07,
                8.315284241083696e-07,
                1.9947301969707264e-06
            ],
            [
                0.9999996072137998,
                0.999998239656367,
                0.9999998362623723,
                0.9999994284996891,
                0.9999938558275958,
                0.9999997897566338,
                0.9999996533672549,
                0.9999990577557432,
                0.9999996533674615,
                0.999999352404893
            ],
            [
                0.9999991684720715,
                0.9999974387177893,
                0.9999869928699862,
                0.9999989322973846,
                0.9999687980997913,
                0.9999996533673788,
                0.9999977396762411,
                0.999999057755069,
                0.9999957771680658,
                0.9999987901347491
            ],
            [
                0.9999994284994169,
                0.9999945777790915,
                0.9999869928746392,
                0.9999599363078477,
                0.9999546021151592,
                0.999985261021549,
                1.9947301968963442e-06,
                0.9999756997592727,
                0.999941708748388,
                0.999995777164542
            ],
            [
                5.422218969463855e-06,
                4.785096776068365e-06,
                2.2603248366762157e-06,
                2.7535700942411318e-05,
                3.120191880379252e-05,
                1.1478764019787597e-05,
                1.670142781520948e-05,
                2.430025231469984e-05,
                4.785096776194573e-06,
                7.889266346287306e-06
            ],
            [
                5.043474682958816e-07,
                1.370957370236096e-06,
                4.2228329408924035e-06,
                2.9023133687311063e-06,
                2.260324028372372e-06,
                8.315277302649045e-07,
                1.473898372500477e-05,
                2.6995777744434867e-07,
                5.71500583272315e-07,
                1.0677033790621648e-06
            ],
            [
                0.9999990577555183,
                0.9999991684719723,
                0.9999995549150541,
                0.9999910603015649,
                0.9999982396559473,
                0.9999945777790913,
                0.9999967112505427,
                0.9999994956525918,
                0.9999994284994167,
                0.9999990577556307
            ],
            [
                1.1478764004670832e-05,
                2.1444945853375776e-05,
                4.22283444919945e-06,
                1.6701415866188347e-05,
                4.785092783210732e-06,
                2.4300234928664224e-05,
                5.422218968595919e-06,
                1.1478768122695653e-05,
                4.2228349543420954e-06,
                1.0129992174446906e-05
            ],
            [
                1.553498495308628e-06,
                1.553498495308628e-06,
                3.7266383951544193e-06,
                1.4738976698006875e-05,
                6.962254589528684e-06,
                5.422218969532895e-06,
                2.260324028255194e-06,
                5.422220908481809e-06,
                2.260325375634003e-06,
                4.222831934286977e-06
            ],
            [
                0.9999980052695654,
                0.999989870009023,
                0.9999945777797374,
                0.9999967112493666,
                0.9999938558232011,
                0.9999967112497591,
                0.9999852610110029,
                0.9999852610145177,
                0.9999957771680656,
                0.9999852610180356
            ],
            [
                0.9999977396757023,
                0.999999352405279,
                0.9999990577551815,
                0.9999994956525918,
                0.9999989322966208,
                0.999999352405279,
                0.9999990577551814,
                0.9999984465018751,
                0.9999992661792819,
                0.9999996940977002
            ],
            [
                1.2098662603752517e-06,
                6.144173136645595e-06,
                1.370957370236096e-06,
                1.0677028700203557e-06,
                7.889263525663481e-06,
                1.209865394936899e-06,
                7.889260703117714e-06,
                1.2098655392574583e-06,
                8.939698435096828e-06,
                8.939698432690187e-06
            ],
            [
                1.6701421835335913e-05,
                7.889262584350785e-06,
                1.3709573700615334e-06,
                2.9023116384112864e-06,
                2.260324028255194e-06,
                1.6701419847381817e-05,
                8.315282258756395e-07,
                1.0677024881382882e-06,
                5.144219521911119e-05,
                1.760343632854606e-06
            ],
            [
                1.0677032518316716e-06,
                2.260323758746637e-06,
                6.962259568078904e-06,
                4.450852111100568e-07,
                1.553497384058899e-06,
                1.3709572068079696e-06,
                2.260324028331257e-06,
                3.927862470790036e-07,
                1.9947299590520376e-06,
                2.699577130887897e-07
            ],
            [
                1.7603430033399058e-06,
                5.422217676200406e-06,
                6.962253759271479e-06,
                7.889264465699106e-06,
                6.144173133359817e-06,
                3.288750633025344e-06,
                6.9622562481627565e-06,
                2.9023116388547446e-06,
                1.5534979397267575e-06,
                8.315277302444853e-07
            ],
            [
                2.144494073483943e-05,
                1.6701421841259862e-05,
                1.0129994601688632e-05,
                1.7603425834885192e-06,
                2.5612822103393692e-06,
                3.7266406162947e-06,
                1.1478765388314311e-05,
                1.3007128461507534e-05,
                5.422217675362059e-06,
                1.1478764019996392e-05
            ],
            [
                0.9999967112493664,
                0.9999967112513267,
                0.9999970976873229,
                0.9999974387184,
                0.9999996072137998,
                0.9999957771675623,
                0.9999885212277702,
                0.9999974387168733,
                0.9999996533674202,
                0.999999694097846
            ],
            [
                6.962258739271155e-06,
                8.939697367264857e-06,
                3.1201915085825835e-05,
                6.962257906334983e-06,
                1.0129987356191011e-05,
                1.473897845457507e-05,
                1.5534979397140412e-06,
                6.144173869312763e-06,
                1.0129987356541108e-05,
                1.0677029972522599e-06
            ],
            [
                0.9999810748427396,
                0.9999987901347491,
                0.99999862904312,
                0.9999994956525317,
                0.9999980052705164,
                0.9999986290431201,
                0.9999991684717741,
                0.9999967112517189,
                0.9999938558232009,
                0.9999852610233111
            ],
            [
                4.7850956352353935e-06,
                6.475950297644816e-07,
                1.994729245878497e-06,
                7.338212428346234e-07,
                2.7535697652678035e-05,
                1.0677024881266355e-06,
                7.88926352599354e-06,
                1.0677031245429291e-06,
                1.2098659719232413e-06,
                1.5534971989427613e-06
            ],
            [
                2.9023116388547446e-06,
                6.144176066264237e-06,
                2.2603251060985603e-06,
                3.726637951079042e-06,
                1.7603438426747447e-06,
                7.889262584508638e-06,
                1.0677027427525368e-06,
                2.260324836696773e-06,
                1.3709568798956654e-06,
                5.422217030121119e-06
            ],
            [
                0.9999987901344607,
                0.9999995549147889,
                0.9999991684722697,
                0.999999266178757,
                0.9999992661789321,
                0.9999990577551814,
                0.999999168471675,
                0.9999996072138465,
                0.9999994284996893,
                0.9999997617630049
            ],
            [
                1.9947292456607935e-06,
                5.422217030209884e-06,
                2.561282210562998e-06,
                1.8925150493717652e-05,
                6.144174601499446e-06,
                5.422218322851817e-06,
                8.939700565834043e-06,
                4.006369693910372e-05,
                1.370957697068717e-06,
                8.939700566435704e-06
            ],
            [
                2.430024358097153e-05,
                4.222835457364773e-06,
                6.1441738691562974e-06,
                5.422218969384951e-06,
                6.962254589433702e-06,
                6.9622562489985925e-06,
                1.4738985484549675e-05,
                6.9622570784012604e-06,
                5.422217030121119e-06,
                3.535626755762428e-05
            ],
            [
                0.9999945777797385,
                0.9999989322970027,
                0.9999938558275963,
                0.9999962733593837,
                0.9999810748449939,
                0.999998239656577,
                0.999997438716568,
                0.9999977396765105,
                0.9999938558253988,
                0.9999974387177893
            ],
            [
                5.422220907791405e-06,
                2.561282821209454e-06,
                1.8925148238808306e-05,
                1.0129990978847043e-05,
                2.902312677060767e-06,
                2.26032537546132e-06,
                4.53978523645784e-05,
                2.5612812945889277e-06,
                1.8925150495232307e-05,
                4.222832437497486e-06
            ],
            [
                0.9999996072136592,
                0.9999990577549568,
                0.9999986290423029,
                0.999999266179107,
                0.9999970976880148,
                0.9999986290421394,
                0.9999986290424664,
                0.9999977396765105,
                0.9999984465016899,
                0.9999986290432834
            ],
            [
                1.2098652508056196e-06,
                1.9947292458603553e-06,
                3.2887506333394084e-06,
                1.6701423833436905e-05,
                4.22283344433731e-06,
                1.2098655392222467e-06,
                2.561281294644835e-06,
                3.28874945711983e-06,
                1.3709572068272963e-06,
                1.76034321308312e-06
            ],
            [
                2.9023123311055552e-06,
                1.994729245693449e-06,
                1.6701419852090592e-05,
                1.2098655392222467e-06,
                3.726638395415398e-06,
                4.222833444229772e-06,
                2.260324297702111e-06,
                1.370956716519966e-06,
                1.067702615417244e-06,
                1.994729008056074e-06
            ],
            [
                6.9622562487453084e-06,
                5.422217676397663e-06,
                1.0677027427471959e-06,
                6.962255419279419e-06,
                2.902313368897403e-06,
                1.5534975693488444e-06,
                6.144177531459659e-06,
                7.889260703763482e-06,
                2.260323489435463e-06,
                1.7603427935678977e-06
            ],
            [
                5.829124465207388e-05,
                2.144494073483943e-05,
                8.481104127376647e-05,
                3.5356246490314526e-05,
                1.8925145981283003e-05,
                4.006367783499403e-05,
                9.610239189829757e-05,
                5.8291272369553704e-05,
                6.96225707894582e-06,
                8.481107564538535e-05
            ],
            [
                9.422442568951678e-07,
                9.422444815323792e-07,
                1.5534977545497995e-06,
                1.012999460150437e-05,
                6.962253759752719e-06,
                1.3007123811513407e-05,
                1.2098658276598493e-06,
                6.962253759670401e-06,
                5.422217030121119e-06,
                0.9997388095973233
            ],
            [
                2.4300240729754152e-05,
                1.9947301966967833e-06,
                2.5612822103393692e-06,
                1.2098655392464547e-06,
                4.2228354571957855e-06,
                4.222834954280646e-06,
                1.2098656834834034e-06,
                1.1478772229300848e-05,
                3.2887482807780376e-06,
                2.1444945853999886e-05
            ],
            [
                0.9999952149066468,
                0.982013793755535,
                0.9999967112501521,
                0.9999869928671385,
                0.993307147753833,
                0.9525741241296943,
                0.924141827813457,
                0.8519527944504227,
                0.9740426402120151,
                0.9999945777816779
            ],
            [
                0.9999921107355336,
                0.999985261016272,
                0.9999989322967481,
                0.999998446502801,
                0.9999957771665555,
                0.9999990577550691,
                0.9999993524052019,
                0.9999970976876689,
                0.9999994956525918,
                0.9999986290426297
            ],
            [
                0.9999994284993485,
                0.9999996533674615,
                0.999999554914842,
                0.9999991684715759,
                0.9999996533672962,
                0.9999995549149481,
                0.9999994956527722,
                0.9999990577551814,
                0.9999993524049703,
                0.9999996940977002
            ],
            [
                1.4738976699427788e-05,
                1.7603432131631714e-06,
                1.7603438427467903e-06,
                6.475945665353147e-07,
                6.1441738691562974e-06,
                1.1478770859624945e-05,
                8.93969736654937e-06,
                1.6701423833436905e-05,
                1.0129994599901296e-05,
                1.994729721265813e-06
            ],
            [
                0.9999785550490512,
                0.9999910603036983,
                0.9999785550439346,
                0.9999930377420935,
                0.9999930377437518,
                0.999972464299095,
                0.9999339478475212,
                0.9999599363222165,
                0.9999599363030746,
                3.726637950329997e-06
            ],
            [
                5.04347528440776e-07,
                5.715006513781082e-07,
                6.475950297421001e-07,
                3.92786293867391e-07,
                1.209865827698362e-06,
                5.715005151353432e-07,
                1.0677028699955933e-06,
                9.422442568763144e-07,
                1.0677031245429291e-06,
                7.338208055369664e-07
            ],
            [
                0.9999982396569966,
                0.9999974387187053,
                0.999998239656367,
                0.9999994284996211,
                0.9999938558232018,
                0.9999869928668851,
                0.9999977396754328,
                0.9999957771650454,
                0.9999990577550691,
                0.9999962733620488
            ],
            [
                6.144172403715875e-06,
                3.288750241042834e-06,
                8.93969736929749e-06,
                1.1478764016780948e-05,
                6.144173868312501e-06,
                1.4738985482753428e-05,
                6.96225707894582e-06,
                3.2887506330851655e-06,
                6.962256249429175e-06,
                3.2887498492518007e-06
            ],
            [
                0.9999977396757022,
                0.99999893229713,
                0.9999993524050474,
                0.9999996072137529,
                0.9999994956527722,
                0.9999996940977366,
                0.9999994956527721,
                0.9999987901344607,
                0.9999992661791944,
                0.9999986290432834
            ],
            [
                0.9999980052707541,
                2.7535687816036267e-05,
                4.5397868612593344e-05,
                4.006371116615417e-05,
                3.120190391853445e-05,
                2.7535694379773952e-05,
                0.0008040859119654743,
                1.8925143723000643e-05,
                6.144174601309452e-06,
                8.939695238089467e-06
            ],
            [
                4.0063692140011286e-05,
                3.535625066740153e-05,
                1.670142582300158e-05,
                2.1444943287710254e-05,
                7.889265405146477e-06,
                2.7535691095550887e-05,
                6.962257079376403e-06,
                3.5356250696598434e-05,
                4.222832940715735e-06,
                4.539785779269366e-05
            ],
            [
                3.92786293909545e-07,
                2.561283431478682e-06,
                9.422449307186952e-07,
                3.2887506332945414e-06,
                6.475951069932288e-07,
                3.2887494573232236e-06,
                1.5534981249164537e-06,
                2.260325106045111e-06,
                1.2098661161239298e-06,
                6.475949525878687e-07
            ],
            [
                3.726637951079042e-06,
                1.300712846361323e-05,
                1.7603425834564988e-06,
                1.6701421837158667e-05,
                5.4222183222304545e-06,
                6.14417313680765e-06,
                1.1478769491014062e-05,
                9.610238058922784e-05,
                1.8925157264023994e-05,
                7.889266340676307e-06
            ],
            [
                1.9947299590520376e-06,
                1.5534979396645902e-06,
                5.422219615967477e-06,
                1.6701429803316423e-05,
                1.8925143723000643e-05,
                4.785095635296322e-06,
                5.715007195228928e-07,
                1.2098653949192932e-06,
                2.561282515853595e-06,
                8.939694165298253e-06
            ],
            [
                NaN,
                5.422218968595919e-06,
                2.1444945853999886e-05,
                4.5397890257685224e-05,
                1.473898899908247e-05,
                1.670141785809127e-05,
                7.484626286742124e-05,
                1.8925141464512013e-05,
                1.3007123807727885e-05,
                1.3007123811513407e-05
            ],
            [
                8.939696302831578e-06,
                2.430023121358763e-05,
                4.785096205512581e-06,
                5.043474682903772e-07,
                6.962256248606003e-06,
                1.76034258364702e-06,
                4.222833444229772e-06,
                6.144173869072478e-06,
                1.553497754476329e-06,
                3.726638395320497e-06
            ],
            [
                0.9999991684722697,
                0.9999991684716749,
                0.9999992661791944,
                0.9999996940977731,
                0.9999989322967482,
                0.9999994284996891,
                0.9999990577555185,
                0.9999991684717741,
                0.9999984465020603,
                0.9999996533672135
            ],
            [
                0.0001398221238421431,
                0.0002959572392758303,
                0.00017952805135597295,
                8.481101096529726e-05,
                5.14422013436982e-05,
                7.889264465699106e-06,
                0.9999938558232014,
                0.00020342699736100405,
                0.00017952800792612165,
                8.481103108723191e-05
            ],
            [
                0.9999986290426297,
                0.9999990577555185,
                0.9999996940977731,
                0.9999994956526519,
                0.9999993524054335,
                0.999999266179107,
                0.9999990577557432,
                0.9999989322975118,
                0.9999992661788445,
                0.9999986290421394
            ],
            [
                0.9999986290432835,
                0.99999862904312,
                0.9999990577554061,
                0.9999994284996211,
                0.9999996072136125,
                0.9999970976883622,
                0.9999994284996893,
                0.9999986290432835,
                0.9999990577549568,
                0.999999352404893
            ],
            [
                2.144495096785658e-05,
                1.300712846361323e-05,
                1.4738978451438343e-05,
                2.1444943294263477e-05,
                1.4738983724575818e-05,
                2.4300246512104316e-05,
                5.422217676101776e-06,
                2.902312330891746e-06,
                1.3007131563176482e-05,
                4.222834954211514e-06
            ],
            [
                0.9999962733593831,
                0.9999989322972572,
                0.9999998144608538,
                0.9999994956525317,
                0.9999994284996893,
                0.999999694097846,
                0.9999994956523514,
                0.9999994956527121,
                0.9999994284994167,
                0.9999991684717742
            ]
        ]
    },
    {
        "q_id": "10451_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999785550567889,
                0.9999810748472637,
                0.9999898700042824,
                0.9999832985741924,
                0.9999869928746418,
                0.9999898700115071,
                0.9999832985782279,
                3.120191126865329e-05,
                0.9995694429062001,
                0.9999417087222231
            ],
            [
                3.72663972689619e-06,
                2.144495604044475e-05,
                6.144173129559937e-06,
                4.785095064523075e-06,
                6.144174599700092e-06,
                2.2603253752763026e-06,
                3.53562421969549e-05,
                2.753570086628095e-05,
                4.006370167494336e-05,
                1.670142182676898e-05
            ],
            [
                1.4738978450955768e-05,
                2.1444956070012293e-05,
                2.430023491549239e-05,
                2.4300237810821485e-05,
                7.889261641416608e-06,
                0.9999785550439896,
                1.1478773595970265e-05,
                1.3007131555463476e-05,
                1.0129992183991656e-05,
                2.7535684472011604e-05
            ],
            [
                0.9997694931768976,
                1.1478770856576534e-05,
                1.8925152738024674e-05,
                3.12019113244994e-05,
                0.00013982211891483802,
                0.9998204720773193,
                2.7535691056684346e-05,
                6.605217558459996e-05,
                5.144223167059483e-05,
                4.006368253424943e-05
            ],
            [
                0.9999251537641612,
                0.9998601779605608,
                4.5397868512182765e-05,
                3.5356263289471766e-05,
                4.5397857669822837e-05,
                7.48462536886981e-05,
                6.605212092416299e-05,
                0.9998601779097945,
                5.8291286228722664e-05,
                6.605212856267558e-05
            ],
            [
                1.892515724357613e-05,
                2.1444958566558377e-05,
                1.3007125348293483e-05,
                1.4738988990959142e-05,
                1.670142581373592e-05,
                3.535625473207447e-05,
                4.006371117314994e-05,
                3.120191870958057e-05,
                4.00636920782154e-05,
                1.1478766745733287e-05
            ],
            [
                1.8925150486764003e-05,
                1.4738978442537537e-05,
                1.670142779038966e-05,
                8.481104056973613e-05,
                1.6701417853595148e-05,
                3.1201922486004504e-05,
                1.3007125359034903e-05,
                4.539786305070613e-05,
                1.4738988997044936e-05,
                7.88926446430712e-06
            ],
            [
                1.4738983721251418e-05,
                2.1444940733201126e-05,
                1.4738985475943776e-05,
                4.539786856370925e-05,
                1.3007133108948093e-05,
                1.6701425814404263e-05,
                1.6701419845680582e-05,
                1.3007123801954964e-05,
                2.1444943264773968e-05,
                6.962254588585202e-06
            ],
            [
                5.144220090318004e-05,
                1.4738978447095178e-05,
                3.535624644864141e-05,
                4.006370167756677e-05,
                1.892515048449202e-05,
                2.4300246504236573e-05,
                5.144222585927004e-05,
                5.829125820121915e-05,
                4.5397879283861487e-05,
                5.829127928620272e-05
            ],
            [
                0.9992903297561908,
                0.00012339454450738518,
                0.9959298618424075,
                0.00020342704393110564,
                5.144220124077339e-05,
                0.0003353500496224689,
                0.00010889690877481047,
                0.000552778758159896,
                0.9890130551632543,
                0.0008040858916688892
            ],
            [
                0.99989110307831,
                0.9998911030787078,
                0.9999417087069298,
                0.9999687980998783,
                0.9999417087276834,
                0.9999546021207075,
                0.9999646437451205,
                0.9997694932905491,
                0.9998601778615834,
                0.9999599363127508
            ],
            [
                0.00020342692222437763,
                2.753568776925618e-05,
                3.120191872479069e-05,
                1.3007131552056503e-05,
                5.1442195043951916e-05,
                1.4738988989779516e-05,
                3.535623802655717e-05,
                2.4300234897635273e-05,
                7.484621805799024e-05,
                4.539788482626311e-05
            ],
            [
                7.889261641158302e-06,
                6.605214427413039e-05,
                4.785095062634308e-06,
                1.3007133105966991e-05,
                1.3007133104263505e-05,
                1.1478773585029389e-05,
                1.6701427806612162e-05,
                3.726639727526609e-06,
                4.539787367341916e-05,
                1.147876401160283e-05
            ],
            [
                0.999968798081307,
                0.999948557792614,
                0.9999339478715047,
                0.9998766054703729,
                0.9999599363177532,
                0.9999724643155903,
                0.9999687980998273,
                0.9999810748450323,
                0.9999417087276613,
                0.9999417087209271
            ],
            [
                7.889263523869684e-06,
                1.4738985480179701e-05,
                3.5356242207501795e-05,
                1.1478769487840372e-05,
                1.473898371722997e-05,
                2.1444945841205498e-05,
                6.144176065314267e-06,
                6.962257906765564e-06,
                3.120192249712832e-05,
                1.4738988993050295e-05
            ],
            [
                2.4300249408672413e-05,
                5.829129318184594e-05,
                8.481103103169929e-05,
                0.0015011821502930519,
                2.4300252258653186e-05,
                3.1201926125537765e-05,
                3.1201918783020485e-05,
                4.539786847485909e-05,
                4.53978520877888e-05,
                6.605213659188498e-05
            ],
            [
                2.4300232002483323e-05,
                6.962253754763033e-06,
                2.430023782222529e-05,
                1.6701419833468143e-05,
                3.535625066508635e-05,
                7.889259762666377e-06,
                1.892514822538295e-05,
                1.670142183132586e-05,
                2.4300234917879235e-05,
                6.144173867451939e-06
            ],
            [
                8.939699491123385e-06,
                2.1444953479848962e-05,
                0.00010889690857833421,
                2.7535697645265342e-05,
                4.539787941498982e-05,
                6.605214446443249e-05,
                5.1442225761959264e-05,
                2.4300243615448162e-05,
                3.120191880118183e-05,
                8.939699495546396e-06
            ],
            [
                8.939698434657777e-06,
                0.9902915237065587,
                7.889264466344872e-06,
                5.422217675874929e-06,
                1.670142581227772e-05,
                7.889265404328504e-06,
                5.422220908703723e-06,
                8.939699496489538e-06,
                6.144175332596544e-06,
                2.4300237809495462e-05
            ],
            [
                0.999860177910938,
                0.9859363753199378,
                0.9924227589352373,
                2.430024359741423e-05,
                1.6701423812475255e-05,
                1.1478765382092217e-05,
                0.995929861595133,
                4.006368727883207e-05,
                0.00020342694004146618,
                7.889259759222289e-06
            ],
            [
                3.535624224505904e-05,
                5.144222580312921e-05,
                2.4300243616508983e-05,
                3.5356267520324244e-05,
                2.9023112930949896e-06,
                1.1478769489719528e-05,
                3.5356246446326235e-05,
                1.8925152741191683e-05,
                3.7266406162947e-06,
                1.6701425816409292e-05
            ],
            [
                0.9998911030522135,
                0.9999785550593528,
                0.9999339478790759,
                0.9999756997624184,
                0.9999646437619633,
                3.535623798539855e-05,
                0.9999852610198134,
                0.9998601778938856,
                0.9999546021261455,
                0.9999898700102656
            ],
            [
                0.9999151889698507,
                0.9999885212305211,
                0.9999724642958652,
                0.9998204719738734,
                0.9999724642959888,
                0.9999756997680701,
                0.999964643732589,
                0.9999646437536056,
                0.9999151889798255,
                0.999796573059118
            ],
            [
                2.9023116390104826e-06,
                1.3007133107008012e-05,
                2.4300237797030833e-05,
                4.78509449410676e-06,
                2.4300249387721226e-05,
                0.9999485577803159,
                1.8925143705306717e-05,
                3.535626329924694e-05,
                7.889262583231455e-06,
                1.0129995808178788e-05
            ],
            [
                0.9999957771665573,
                0.9999938558232062,
                0.9999898700066207,
                0.9999810748585525,
                0.9999910603037659,
                0.9999724643122668,
                0.9999921107383581,
                0.9999646437324844,
                0.9999945777829818,
                0.999876605400458
            ],
            [
                0.9999485577681415,
                0.9999898700066739,
                0.9999810748518453,
                0.9999852610197967,
                3.7266383950934104e-06,
                0.9999921107374254,
                0.9999832985742433,
                0.9999485577869255,
                0.9999756997535363,
                0.9999151889306237
            ],
            [
                0.00033535013200803676,
                3.535626326580554e-05,
                1.6701417813008544e-05,
                6.962255412301455e-06,
                4.222831933864508e-06,
                1.3007130000938025e-05,
                6.144173135483279e-06,
                1.892515045082535e-05,
                0.00023050662755744208,
                5.1442207327933914e-05
            ],
            [
                3.120192241494825e-05,
                2.4300249406550775e-05,
                1.0129990974572174e-05,
                0.00015843615471871787,
                5.829124449727741e-05,
                2.7535694335498144e-05,
                1.4738978453315019e-05,
                4.006367766257773e-05,
                3.535625897218662e-05,
                3.535626741099656e-05
            ],
            [
                4.5397884602321e-05,
                0.996827316825419,
                0.00013982205620869103,
                0.9986749778511393,
                1.3007133095840714e-05,
                4.006369204702597e-05,
                0.0001795279399094634,
                5.144220110229275e-05,
                0.00020342706846661308,
                3.5356267355175133e-05
            ],
            [
                0.00015843629011838065,
                1.6701415862117537e-05,
                4.539789008758168e-05,
                2.144494839938192e-05,
                1.670142780381727e-05,
                2.430023780286534e-05,
                1.6701425817016872e-05,
                4.539785760739654e-05,
                6.605216034072351e-05,
                1.670141584261409e-05
            ],
            [
                0.3486451488696663,
                1.8925148216088467e-05,
                5.829129317633263e-05,
                5.829125148432372e-05,
                4.539786304608196e-05,
                7.484620907693955e-05,
                1.1478765385098868e-05,
                1.892515273885085e-05,
                7.484623597326465e-05,
                0.0001398220724858801
            ],
            [
                6.144173134868593e-06,
                0.9998911031307502,
                0.0024726229252003697,
                2.1444953514565465e-05,
                6.1441724029223715e-06,
                6.962257078249291e-06,
                0.9984988179556273,
                2.4300243590165296e-05,
                5.829127843079272e-05,
                7.484620856725283e-05
            ],
            [
                4.539785223278955e-05,
                6.605213666925526e-05,
                3.120192618433512e-05,
                4.5397863124032274e-05,
                5.144220719095033e-05,
                3.535626327403727e-05,
                3.535623803067304e-05,
                8.93969629582306e-06,
                1.8925148232956223e-05,
                9.610241283423832e-05
            ],
            [
                2.144494073483943e-05,
                2.1444945836212564e-05,
                6.605212871885782e-05,
                6.605215196791019e-05,
                7.484620915426382e-05,
                1.1478766752748805e-05,
                4.006368730302574e-05,
                1.8925143714394646e-05,
                0.00010889694737448127,
                1.892514370819833e-05
            ],
            [
                1.1478772221429265e-05,
                6.962257078249291e-06,
                2.753570420840434e-05,
                1.3007130011300897e-05,
                1.0129987355785634e-05,
                4.785096205582214e-06,
                1.6701425808449937e-05,
                2.1444950947650794e-05,
                4.006370642360913e-05,
                1.8925145971919677e-05
            ],
            [
                4.222834448492775e-06,
                3.535624206216039e-05,
                8.481106955653889e-05,
                0.00015843615925532046,
                1.3007126909159127e-05,
                2.7535687788789623e-05,
                6.605212061420135e-05,
                6.962258734066175e-06,
                4.0063692132141055e-05,
                2.753569764256071e-05
            ],
            [
                0.9999967112493696,
                0.9999898700126476,
                0.9999967112509349,
                0.9999869928653502,
                0.9999930377445924,
                0.9999832985841449,
                0.9999952149066562,
                0.999995777167075,
                0.9999546021477497,
                0.9999810748450593
            ],
            [
                0.9999852610163573,
                0.999972464315642,
                0.9999810748540408,
                0.9999756997653992,
                0.9999687980739046,
                0.9999038975414877,
                0.9999921107383596,
                0.9999339478325022,
                0.9999832985781957,
                0.9997965730072353
            ],
            [
                6.962257075007259e-06,
                8.939694166989405e-06,
                8.939699499026267e-06,
                1.6701429797422853e-05,
                0.9998601779274856,
                6.144176797998549e-06,
                1.3007131555983986e-05,
                2.1444945825992654e-05,
                3.120190387358516e-05,
                1.8925143714394646e-05
            ],
            [
                0.9999646437493974,
                2.4300234844240704e-05,
                0.999769493233606,
                0.9999785550567636,
                6.962259563697095e-06,
                1.8925157234281645e-05,
                0.9997040428021342,
                0.9999485577991044,
                0.9998601778622059,
                0.9997388096793464
            ],
            [
                0.9999810748472588,
                0.9999485577987275,
                0.9982992773080945,
                0.9988304896589263,
                0.9999485577682719,
                0.9994472213368997,
                0.998967769128425,
                0.9999417087276945,
                0.999964643745125,
                0.9996200154523269
            ],
            [
                0.9998415638033915,
                1.8925152717989902e-05,
                0.9999151889594439,
                6.605215986833208e-05,
                7.484621769696211e-05,
                4.0063677738656604e-05,
                0.9998601779309848,
                6.605212081843964e-05,
                0.0001584361735981777,
                5.829129312544061e-05
            ],
            [
                0.9999485578051098,
                0.9999910603069221,
                0.9999832985821923,
                0.9999785550439844,
                0.9999910603058321,
                0.9997040428273987,
                0.9999898700102411,
                0.9999599363177311,
                0.9999938558268837,
                0.9998415637353886
            ],
            [
                0.00013982212360005007,
                1.14787735942999e-05,
                3.5356246446326235e-05,
                1.1478769492392108e-05,
                7.484620910307734e-05,
                5.144222581997146e-05,
                3.120190391104291e-05,
                1.147876949187012e-05,
                1.4738985480179701e-05,
                9.6102403101794e-05
            ],
            [
                7.889265402362503e-06,
                1.3007134657984903e-05,
                6.605215238984264e-05,
                0.0003353501293542143,
                2.1444945847446664e-05,
                4.539789011466614e-05,
                0.00020342689375847425,
                1.89251437091622e-05,
                6.144176797864436e-06,
                0.9997694933145873
            ],
            [
                0.9989677687179963,
                1.473898722495269e-05,
                2.1444958621558693e-05,
                0.9964063965890543,
                1.1478765387667046e-05,
                6.605214434717565e-05,
                4.006371116615417e-05,
                1.6701425805047466e-05,
                0.998498817446267,
                3.535625066508635e-05
            ],
            [
                0.9999885212318875,
                0.9999852610145802,
                0.999989870007845,
                0.9999945777829724,
                0.9999832985761816,
                0.9999957771645532,
                0.9999756997622614,
                0.9999930377421035,
                0.9999910603037246,
                0.00012339460265519295
            ],
            [
                2.1444945830751543e-05,
                6.60521443231476e-05,
                0.9997388096613428,
                9.610241420740798e-05,
                0.0009110510564359294,
                0.9998415637457918,
                1.3007130010922344e-05,
                0.9998601779595803,
                7.484619963575616e-05,
                8.481104100042252e-05
            ],
            [
                8.481105103208393e-05,
                3.120190390934028e-05,
                1.4738981930527094e-05,
                0.9998911030662442,
                1.147876537896029e-05,
                4.006371111397742e-05,
                2.753568123266654e-05,
                1.8925141455079837e-05,
                8.481107150203266e-05,
                1.1478764012521528e-05
            ],
            [
                3.120190010601712e-05,
                0.9998204720346391,
                0.9999251537461463,
                0.9996200154322292,
                0.9999038975514325,
                0.9997694933691493,
                0.9999251537820024,
                0.9998415638218653,
                0.9999485577927963,
                0.9998766053960557
            ],
            [
                0.9997388097286302,
                1.3007130012341915e-05,
                5.8291258356863845e-05,
                0.0001233945737868596,
                1.1478766748656418e-05,
                0.999769493313863,
                0.000108896881337854,
                5.422220906716348e-06,
                8.9396994898225e-06,
                3.5356246453014516e-05
            ],
            [
                5.422218969217281e-06,
                1.0129993391236997e-05,
                1.1478764017428212e-05,
                1.3007126911004571e-05,
                1.473898547154699e-05,
                1.8925141456801038e-05,
                4.2228324370327694e-06,
                2.430023782328611e-05,
                1.1478765385098868e-05,
                7.889261641674914e-06
            ],
            [
                0.9999251537375236,
                0.9999832985721984,
                0.9999756997505934,
                0.9996200154049902,
                1.6701427797619914e-05,
                8.939698430836427e-06,
                0.9999251537729632,
                8.939700560874416e-06,
                0.9999646437324586,
                0.9999921107336555
            ],
            [
                1.8925141461620395e-05,
                1.0129988561648438e-05,
                5.8291286028123266e-05,
                7.48462087883349e-05,
                1.0129992182112188e-05,
                1.0129990969375998e-05,
                8.481102063969529e-05,
                2.753570092478113e-05,
                8.939695236593446e-06,
                4.222833443553821e-06
            ],
            [
                0.99996879809982,
                0.999968798085116,
                0.9999724643190435,
                0.9998911030568006,
                0.9999646437408994,
                0.9999724643023772,
                0.9999869928684724,
                0.9999485577927784,
                0.9999852610145409,
                0.999964643753704
            ],
            [
                8.939694170518055e-06,
                5.422217029943586e-06,
                0.9465966726483187,
                1.8925150487521332e-05,
                5.422218321855664e-06,
                6.962259568775433e-06,
                3.288749065167371e-06,
                1.6701421833391647e-05,
                4.785096775920397e-06,
                6.144175332440078e-06
            ],
            [
                0.9999646437451601,
                0.9999785550516671,
                0.999964643732633,
                0.9999687980776114,
                0.9999339478403104,
                0.9999038975763286,
                0.9998601779115055,
                0.9999485577747121,
                0.9999724643058117,
                0.9999687980812475
            ],
            [
                4.006368734587476e-05,
                1.8925154983708924e-05,
                1.4738988990369329e-05,
                7.889265398172194e-06,
                3.535626321384274e-05,
                1.1478772218380856e-05,
                3.120191869595956e-05,
                7.889266344321303e-06,
                1.0129987341228975e-05,
                1.1478773593548236e-05
            ],
            [
                5.1442207125827e-05,
                5.829128129516519e-05,
                2.144495860338128e-05,
                3.5356263276609686e-05,
                0.9999921107402396,
                0.9999546021261055,
                1.8925148206243206e-05,
                1.4738980189293608e-05,
                0.9999832985842352,
                0.999996711250544
            ],
            [
                2.43002435523294e-05,
                5.829127922428409e-05,
                1.6701425816409292e-05,
                1.473898371395919e-05,
                8.48110711571132e-05,
                1.8925145946790165e-05,
                1.3007134661628471e-05,
                0.9982992776490467,
                1.6701419845680582e-05,
                8.481107129162562e-05
            ],
            [
                0.9999898700090525,
                0.9999869928699925,
                0.9999910603015801,
                0.9999921107345964,
                5.829127216768206e-05,
                0.999994577779093,
                0.9999852610162987,
                0.9999910602994436,
                0.9997694931996413,
                0.9999810748585991
            ],
            [
                0.9999724643056738,
                0.9968273174476383,
                0.9999869928746493,
                0.9999910603058411,
                0.0011695103254349372,
                0.9999810748473337,
                2.144494064707304e-05,
                0.999978555049058,
                3.535625898942181e-05,
                0.9998415637653166
            ],
            [
                6.962254586166343e-06,
                8.939693101369448e-06,
                1.670141978437536e-05,
                4.7850950646797465e-06,
                1.4738983720179032e-05,
                3.7266383953679482e-06,
                1.300712844792697e-05,
                1.1478770849018147e-05,
                4.222834450029027e-06,
                1.1478768111295433e-05
            ],
            [
                0.9999962733607177,
                8.939700554565119e-06,
                2.4300240626059064e-05,
                5.1442200731014906e-05,
                5.1442219046393626e-05,
                1.670142780381727e-05,
                0.999986992865342,
                1.0129989766700635e-05,
                1.4738981957068655e-05,
                0.9999952149043664
            ],
            [
                5.144222583232244e-05,
                3.535626334490732e-05,
                1.4738981948757659e-05,
                4.785096774153486e-06,
                8.481104108187037e-05,
                4.006368260129212e-05,
                5.144223806615931e-05,
                1.9947292426020665e-06,
                8.481103059114049e-05,
                4.22283344244772e-06
            ],
            [
                2.4300240704824895e-05,
                2.1444953507076064e-05,
                7.484626246664165e-05,
                4.006367779782906e-05,
                3.1201926145061204e-05,
                2.7535694283609302e-05,
                1.3007134663876127e-05,
                0.0001088968954445304,
                7.484625362444268e-05,
                2.753568777787093e-05
            ],
            [
                0.9999885212305288,
                0.9999945777810517,
                0.9999885212332691,
                0.9999898700054015,
                0.9999938558261331,
                2.144495857014705e-05,
                0.9999930377445839,
                0.9999869928746722,
                0.9998766053694407,
                0.9999810748540676
            ],
            [
                0.9999885212359875,
                8.939695231633822e-06,
                0.9999869928668975,
                4.5397857652647346e-05,
                2.4300252211977114e-05,
                0.9999930377462499,
                2.1444945784020806e-05,
                0.00017952791278639152,
                0.9999945777797385,
                1.892514145136205e-05
            ],
            [
                9.610245938358213e-05,
                0.999941708720878,
                0.9999930377429302,
                0.9999687980998808,
                0.9999910603047836,
                0.9999785550465743,
                0.999989870009027,
                0.9997040428757576,
                0.9999810748517772,
                0.9999646437621322
            ],
            [
                0.9998766054110851,
                3.53562421007466e-05,
                1.8925148205003943e-05,
                1.892515499555078e-05,
                1.3007134657984903e-05,
                3.53562506560829e-05,
                1.0129988562164371e-05,
                8.939695236398313e-06,
                1.670142980222277e-05,
                1.0129993378191273e-05
            ],
            [
                0.9914225158693094,
                3.288748280891699e-06,
                1.4738988986079782e-05,
                0.9975273769984205,
                1.6701417839134652e-05,
                0.9986749778519096,
                0.9992903295558228,
                4.006369203215997e-05,
                0.9840936054891428,
                2.1444953508090254e-05
            ],
            [
                0.9999910603058358,
                0.9999810748428134,
                0.9999938558261386,
                0.9999646437620555,
                0.9999756997477413,
                0.9999869928731068,
                0.9999852610163279,
                0.9999930377412752,
                0.9999756997506151,
                0.9999898700066125
            ],
            [
                6.144172403201774e-06,
                1.670141983261753e-05,
                1.67014158650947e-05,
                1.3007123806876143e-05,
                2.430024650299895e-05,
                1.0129993384861544e-05,
                1.1478769486170011e-05,
                6.144175332283612e-06,
                1.0129990973871981e-05,
                1.1478773592796574e-05
            ],
            [
                1.1478772223224906e-05,
                9.610244879674718e-05,
                1.3007133112307748e-05,
                4.5397884800499855e-05,
                6.962259567407701e-06,
                1.012998856312253e-05,
                2.144494839142443e-05,
                2.7535700909955743e-05,
                1.147876401423365e-05,
                8.481105129493839e-05
            ],
            [
                0.9999646437451547,
                0.9999832985722032,
                0.9999810748517938,
                0.9999151889287404,
                0.9999785550465131,
                9.610237964464966e-05,
                0.9999756997651352,
                0.9999756997680459,
                0.9999852610110139,
                0.999964643753563
            ],
            [
                1.1478769462784948e-05,
                6.9622562481627565e-06,
                1.4738985472244041e-05,
                3.1201907583945445e-05,
                1.4738987221842767e-05,
                1.4738981956371603e-05,
                7.889262576917293e-06,
                7.889261638230827e-06,
                6.144175332596544e-06,
                9.610242390629323e-05
            ],
            [
                6.144176797585032e-06,
                0.9999417087347078,
                4.222835457526079e-06,
                0.9992903294651743,
                5.144221350342337e-05,
                0.9989677690094619,
                0.997817283431431,
                6.96225375863827e-06,
                0.00010889693379860107,
                2.144495350387746e-05
            ],
            [
                1.3007133101897553e-05,
                8.9396994983433e-06,
                1.1478764015361142e-05,
                3.5356238038776134e-05,
                1.147876538330323e-05,
                7.484621797903235e-05,
                1.473898020838208e-05,
                8.481107143601051e-05,
                8.939696301839653e-06,
                2.1444958633416914e-05
            ],
            [
                0.984093607850835,
                1.670142183059676e-05,
                2.753569759467872e-05,
                1.6701417847458553e-05,
                1.8925145960215522e-05,
                2.561281905100056e-06,
                1.3007131557971383e-05,
                1.4738985459965214e-05,
                8.939700557979944e-06,
                2.144494578916977e-05
            ],
            [
                1.8925145960215522e-05,
                4.53978574584322e-05,
                5.8291251345218925e-05,
                6.962258733787562e-06,
                2.4300240550917694e-05,
                1.670142182342727e-05,
                6.144176798255599e-06,
                0.0001233945733200541,
                1.4738988952299598e-05,
                2.430023197207318e-05
            ],
            [
                4.222833444283541e-06,
                1.0129990978441666e-05,
                5.422220906558541e-06,
                1.3007128457958606e-05,
                8.939700559475965e-06,
                4.222832437443716e-06,
                5.422220907791405e-06,
                5.4222170296279735e-06,
                4.222833444229772e-06,
                1.1478765384054893e-05
            ],
            [
                0.9999251537643757,
                0.9991959141658069,
                0.999941708713745,
                0.9991959139692013,
                0.9984988175993019,
                0.00029595698123190107,
                0.999664649776318,
                4.006368255581968e-05,
                0.999948557799236,
                0.9996646497768351
            ],
            [
                3.535625064142013e-05,
                1.0129994600859455e-05,
                1.3007123806024402e-05,
                2.144494583730477e-05,
                0.033085981129772166,
                1.1478769487046951e-05,
                1.1478764017428212e-05,
                7.889263522520747e-06,
                3.535623802218407e-05,
                8.939694170518055e-06
            ],
            [
                0.9999546021371425,
                0.9999724643091001,
                0.9999646437535915,
                0.9999038976196701,
                0.9998204720156133,
                0.9999646437326143,
                0.9999546021435344,
                0.9999832985801516,
                0.9999724643023772,
                0.9999339478480128
            ],
            [
                0.00015843615865366738,
                0.9996646499472749,
                0.999447221403049,
                2.7535687791694597e-05,
                0.9840936080549317,
                0.00013982203898957945,
                6.605215970013572e-05,
                1.8925145929440477e-05,
                6.962256246896338e-06,
                5.144220129392002e-05
            ],
            [
                2.144494328950459e-05,
                1.670142382493073e-05,
                6.962257906334983e-06,
                3.120191506210258e-05,
                1.8925141462377723e-05,
                2.1444958627955892e-05,
                5.144221962539264e-05,
                1.4738985473530904e-05,
                0.0002305066564716633,
                6.144173867284299e-06
            ],
            [
                0.996827317214214,
                0.0017007220722620518,
                0.9997040429405636,
                5.144222576645054e-05,
                3.535625483162694e-05,
                5.144220129392002e-05,
                4.539786839525728e-05,
                5.82912723436836e-05,
                0.9990889489775785,
                4.006371123377989e-05
            ],
            [
                4.539788479389389e-05,
                1.4738985472244041e-05,
                0.9998601778602204,
                5.144221967142812e-05,
                1.1478765376914098e-05,
                2.90231336806592e-06,
                2.7535684501962883e-05,
                1.892515724543503e-05,
                5.144223780865998e-05,
                3.535626322696206e-05
            ],
            [
                1.6701415864001047e-05,
                1.6701417843448496e-05,
                4.0063711148373275e-05,
                6.605215222741307e-05,
                0.999995777168066,
                1.1478772220427047e-05,
                1.4738983699428355e-05,
                3.535624214936523e-05,
                0.9999921107392987,
                0.00013982212120149811
            ],
            [
                0.9999599362889778,
                0.9999810748427614,
                0.9999546021101188,
                0.9998601779112003,
                0.9999756997564291,
                1.3007134656423374e-05,
                1.1478766747236611e-05,
                1.6701425805047466e-05,
                0.9997965730055365,
                0.9999485578048097
            ],
            [
                2.4300246505474193e-05,
                1.4738985470206506e-05,
                2.14449560556576e-05,
                1.892514139428709e-05,
                1.1478772218380856e-05,
                0.9999251537639657,
                2.144495351004062e-05,
                1.1478768119563723e-05,
                3.120190756737323e-05,
                1.1478764016112805e-05
            ],
            [
                8.93969843377968e-06,
                1.3007130006048483e-05,
                0.9669140183935203,
                2.4300232005488976e-05,
                7.88926446430712e-06,
                0.8175744761936437,
                6.144177529855884e-06,
                1.0129994599072117e-05,
                0.9859363761334927,
                1.670141586084161e-05
            ],
            [
                1.8925155001402863e-05,
                7.889264465397747e-06,
                0.008577487393683553,
                0.09534946232842245,
                1.4738976696800444e-05,
                3.120190763491069e-05,
                4.785096775058701e-06,
                1.300712380997554e-05,
                1.8925141423478626e-05,
                7.889262577634811e-06
            ],
            [
                0.9998601778800518,
                0.999986992873113,
                0.9999852610127773,
                0.9999921107402426,
                0.9971990736636845,
                0.99998852123326,
                0.9999810748518133,
                0.9999687980739141,
                0.9999852610199735,
                0.9997388095783926
            ],
            [
                0.0002959571248192367,
                0.9994472214700023,
                0.9982992776877867,
                0.0005527787308897664,
                0.00023050671119473766,
                0.9996646499430014,
                5.144220128531177e-05,
                2.4300243595999808e-05,
                0.0005527786159564761,
                0.00010889686937974167
            ],
            [
                7.889263522779056e-06,
                2.4300249374107374e-05,
                3.5356267511063545e-05,
                0.00012339455725296863,
                5.4222183212934785e-06,
                3.5356259112640515e-05,
                0.00010889694705758395,
                2.4300237766974286e-05,
                1.1478765380839446e-05,
                1.4738985453530894e-05
            ],
            [
                2.753568778728705e-05,
                5.144220115918209e-05,
                2.144494072961245e-05,
                1.6701415862117537e-05,
                8.481104079680289e-05,
                5.14421950948529e-05,
                5.422221554038823e-06,
                1.473898723508674e-05,
                1.0129993389984017e-05,
                1.4738978444575072e-05
            ],
            [
                NaN,
                0.9996200154369497,
                3.535624222730938e-05,
                1.8925152732723376e-05,
                8.939694164907986e-06,
                1.8925148194952138e-05,
                0.9993736657759075,
                7.889263523008662e-06,
                2.1444948371764756e-05,
                2.7535704187167975e-05
            ],
            [
                8.939700563248534e-06,
                1.300712380555121e-05,
                1.6701419823139216e-05,
                4.785095063339331e-06,
                3.2887482794499933e-06,
                3.7266379501469723e-06,
                1.6701427781154383e-05,
                0.00015843621283242247,
                1.4738980198033555e-05,
                1.3007123806450271e-05
            ],
            [
                4.785093352813021e-06,
                6.962253757840428e-06,
                8.939700564890901e-06,
                1.1478769490700865e-05,
                1.473898898859989e-05,
                6.962255416961874e-06,
                8.939698428917621e-06,
                4.785093923603471e-06,
                4.785096776133645e-06,
                1.1478768115554855e-05
            ],
            [
                0.9999952149043668,
                0.9999724643090779,
                0.999981074845031,
                0.9999687980961222,
                0.9999687980925797,
                0.9997694932046113,
                0.9999687980924049,
                0.999993855824671,
                0.9999852610145673,
                0.9999599363130124
            ],
            [
                6.144175333021237e-06,
                1.4738976687631543e-05,
                2.7535687779473676e-05,
                2.4300246486733047e-05,
                5.829124460287829e-05,
                5.144221973879711e-05,
                1.3007130008887624e-05,
                7.484620018247132e-05,
                9.61023914172688e-05,
                8.939695236593446e-06
            ],
            [
                6.9622562472889285e-06,
                1.147876401064237e-05,
                1.67014178554179e-05,
                1.300712380555121e-05,
                3.53562548344566e-05,
                6.605213665724124e-05,
                3.535625482288073e-05,
                2.1444943290362748e-05,
                2.144494073483943e-05,
                1.4738985483504099e-05
            ],
            [
                7.484620921144023e-05,
                0.0001088969083866114,
                6.605213646693916e-05,
                2.144495350387746e-05,
                5.1442195079882024e-05,
                2.4300252291096595e-05,
                1.670141984385783e-05,
                4.539786296879224e-05,
                4.539787927461314e-05,
                2.7535681235270997e-05
            ],
            [
                0.9999785550413824,
                5.829127224614057e-05,
                0.9999546021098896,
                0.9998601779289178,
                0.9999756997506414,
                0.9999646437493974,
                0.9999910603037436,
                0.999981074847282,
                0.9999898700090272,
                0.9999546021097749
            ],
            [
                6.605216812244783e-05,
                9.610239156968782e-05,
                5.829127227031429e-05,
                6.605216817242619e-05,
                NaN,
                2.4300237808257835e-05,
                0.00010889696062395887,
                9.610246031767354e-05,
                0.00015843617813478082,
                4.5397874000744484e-05
            ],
            [
                8.481108084817788e-05,
                0.9997040427639705,
                1.3007126905042372e-05,
                5.82912653227068e-05,
                6.605212855402547e-05,
                2.753569100399413e-05,
                1.6701415807252716e-05,
                1.0129988558792384e-05,
                0.9999546021206142,
                4.006369685369712e-05
            ],
            [
                3.12019039027568e-05,
                1.01299933928585e-05,
                2.1444956072586775e-05,
                4.006368261266023e-05,
                4.006370643585172e-05,
                1.4738983721733992e-05,
                2.753568441491387e-05,
                2.753569106650115e-05,
                0.00013982205481919977,
                6.9622562484666964e-06
            ],
            [
                3.120191504167108e-05,
                4.539785235863304e-05,
                4.539785230182181e-05,
                3.120191505506507e-05,
                2.753568779580163e-05,
                4.539785779269366e-05,
                2.430024361951464e-05,
                2.4300252282875242e-05,
                7.484625383027781e-05,
                4.0063692134764465e-05
            ],
            [
                1.1478768112965796e-05,
                1.4738978423073732e-05,
                6.144173867753695e-06,
                2.144494071471167e-05,
                5.422220261652556e-06,
                1.300712845966209e-05,
                1.3007134654767206e-05,
                7.889263521774528e-06,
                2.4300246472588786e-05,
                0.9902915231603683
            ],
            [
                9.610240317730436e-05,
                0.00029595722884798197,
                0.00015843619285107967,
                9.610239089708655e-05,
                8.481102049531048e-05,
                4.539789024315211e-05,
                0.00013982213993014124,
                2.144495350169305e-05,
                4.539785778179383e-05,
                1.4738981968462759e-05
            ],
            [
                0.9993736659109342,
                3.1201918736822576e-05,
                3.120190760732817e-05,
                1.892515046555882e-05,
                4.0063677738656604e-05,
                0.9997694931771458,
                0.9996200154332795,
                0.9989677691423501,
                0.9986749777969143,
                0.9992903295140485
            ],
            [
                0.9999485577929655,
                0.9999339478557087,
                0.9999687980777233,
                0.9999339478557335,
                0.9999898700078317,
                0.9999869928746499,
                0.9999756997564098,
                0.9999599362983067,
                0.9999546021262354,
                0.9991959141388227
            ],
            [
                1.3007128460040644e-05,
                2.1444948393530826e-05,
                8.93969842420191e-06,
                8.939695232967228e-06,
                6.962258735839161e-06,
                1.3007125360146898e-05,
                1.012999339309804e-05,
                1.1478773593172406e-05,
                8.939697363622378e-06,
                2.7535700894529325e-05
            ],
            [
                4.006371119297127e-05,
                1.8925148224556773e-05,
                0.997817283426867,
                0.9999546021368759,
                1.4738978445218503e-05,
                0.0001584362474194228,
                9.610242439291553e-05,
                0.9947798744878007,
                4.5397879283861487e-05,
                0.9978172835044525
            ],
            [
                3.120192239179253e-05,
                1.6701419845073e-05,
                5.422219615188307e-06,
                2.430024650998268e-05,
                1.8925150490206403e-05,
                0.9465966707651319,
                6.962259566635186e-06,
                0.9149009509324104,
                5.422217030495909e-06,
                0.9669140188702278
            ],
            [
                2.144494839938192e-05,
                2.144494327998681e-05,
                6.962254585710433e-06,
                2.7535694304044287e-05,
                2.430024939585418e-05,
                1.6701427805275476e-05,
                1.6701429797422853e-05,
                2.7535694350223355e-05,
                5.422218316756543e-06,
                1.4738987223451347e-05
            ],
            [
                2.4300249386306803e-05,
                1.6701425802374098e-05,
                3.5356267506175954e-05,
                8.939696298945184e-06,
                0.9999151889386529,
                6.144172403715875e-06,
                2.7535694308451837e-05,
                2.144494072048475e-05,
                0.9579122729855218,
                0.9626731089077047
            ],
            [
                0.9999921107374189,
                2.7535684483431157e-05,
                0.9999910603005011,
                1.6701421825979123e-05,
                1.3007134650461172e-05,
                6.605212058825108e-05,
                1.8925148227861472e-05,
                2.753569104967234e-05,
                1.1478770851648967e-05,
                4.006368245030031e-05
            ],
            [
                6.9622595675850006e-06,
                3.120192248396136e-05,
                8.481108051745009e-05,
                1.0129988562422337e-05,
                5.422220907791405e-06,
                1.0129994594539281e-05,
                1.1478766752748805e-05,
                5.8291272374642915e-05,
                1.8925141465820123e-05,
                2.1444948397509574e-05
            ],
            [
                1.1478765384054893e-05,
                1.892514821712119e-05,
                4.7850933535006355e-06,
                6.9622595668378125e-06,
                0.9997965730793679,
                1.3007123798453357e-05,
                1.6701417837251142e-05,
                1.3007134646297095e-05,
                1.147876401160283e-05,
                7.889266344321303e-06
            ],
            [
                0.9999810748517903,
                0.9999546021206388,
                0.9999785550516178,
                0.9999038975396431,
                0.9998204720824858,
                0.9999417087554577,
                0.9999417087138841,
                0.999968798092467,
                0.9999339478558854,
                0.9999785550541692
            ],
            [
                1.892514821299031e-05,
                0.996406396862506,
                3.53562379509282e-05,
                6.605215998558894e-05,
                5.8291285850001175e-05,
                0.9968273174763561,
                0.970687766174766,
                0.00015843617749854987,
                1.8925145960215522e-05,
                0.998967769012343
            ],
            [
                0.9999852610198006,
                0.9999810748427944,
                0.9997965731065079,
                0.9998766054257319,
                0.9999687980998683,
                0.9999869928762042,
                0.9999852610127751,
                0.9999151889588409,
                0.9999869928653599,
                0.999986992873096
            ],
            [
                0.9996200154359326,
                2.7535697650273915e-05,
                0.9999546021476734,
                1.4738985479697128e-05,
                0.003593602418016063,
                0.00013982205455472852,
                7.484626259079619e-05,
                0.9999417087346201,
                0.9997388096624827,
                0.00013982202181522663
            ],
            [
                6.144176065012512e-06,
                7.889261637886417e-06,
                7.88925976126004e-06,
                6.962255418215627e-06,
                1.3007133108948093e-05,
                1.1478764015736973e-05,
                2.1444956045749745e-05,
                4.78509563466093e-06,
                0.00010889691848771021,
                1.1478773598329648e-05
            ],
            [
                6.605216775049359e-05,
                6.9622545863942985e-06,
                1.8925154983708924e-05,
                0.9999938558246751,
                3.28874945711983e-06,
                0.9999339478715047,
                7.889265406438011e-06,
                3.535626329667452e-05,
                3.1201915063805214e-05,
                5.422217029272909e-06
            ],
            [
                4.5397857748103446e-05,
                2.7535697624529836e-05,
                1.4738976684950577e-05,
                0.9978172838345707,
                6.962253757840428e-06,
                0.9770226286682546,
                0.9940889301094402,
                2.1444953425706823e-05,
                3.1201926212712214e-05,
                1.1478765372946989e-05
            ]
        ]
    },
    {
        "q_id": "10571_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            26,
            27,
            29,
            30,
            31,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            66,
            67,
            68,
            69,
            70,
            71,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            117,
            118,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            2,
            28
        ],
        "rewards": [
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.3709570432501875e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999869928715445
            ],
            [
                0.9998415637645353,
                0.9953904276774732,
                0.9997965730287343,
                0.9998911031168733,
                0.9840936089296325,
                3.9278615341365085e-07,
                NaN,
                3.7266379500520703e-06,
                4.7850927830148924e-06,
                0.9999151889689682
            ],
            [
                8.315281266205166e-07,
                2.260324566803695e-06,
                9.42244930849811e-07,
                7.338208929284016e-07,
                NaN,
                4.785095634121282e-06,
                1.1478769483372156e-05,
                1.2098661160237963e-06,
                4.78509563128378e-06,
                5.4222202617511845e-06
            ],
            [
                0.9999546021336558,
                0.9980732652368268,
                0.999447221461802,
                0.9820137871427651,
                0.9999687980815785,
                0.9997694933734486,
                0.9993736657394364,
                0.9999930377454314,
                0.9999339478246086,
                0.8670357563664174
            ],
            [
                NaN,
                1.553498494969533e-06,
                9.422443691653483e-07,
                2.260324028372372e-06,
                2.2603237589028734e-06,
                1.5534977540015957e-06,
                1.5534971989809095e-06,
                6.1441746016670885e-06,
                6.144172404380855e-06,
                1.3709575336860625e-06
            ],
            [
                NaN,
                NaN,
                4.785093923847183e-06,
                NaN,
                3.726641056326903e-06,
                0.0028009275569567654,
                7.889261644057078e-06,
                1.0677027425311334e-06,
                3.28874984790581e-06,
                0.9996646498123495
            ],
            [
                NaN,
                NaN,
                1.7603438423321262e-06,
                2.561282821239737e-06,
                0.6224593312018546,
                1.0677031245050577e-06,
                8.315282259051341e-07,
                0.993307149341949,
                NaN,
                1.5534977545384963e-06
            ],
            [
                1.370957860466977e-06,
                1.5534973841450852e-06,
                1.9947292458930106e-06,
                3.726638395493353e-06,
                1.4738988993532872e-05,
                1.5534984953298217e-06,
                3.288750241410738e-06,
                NaN,
                3.7266401724291984e-06,
                1.3007130008887624e-05
            ],
            [
                NaN,
                0.9997040428297409,
                0.99752737655278,
                NaN,
                0.9986749776872317,
                0.9770226279155794,
                0.9820137874059599,
                NaN,
                0.9989677692000909,
                0.994779873658385
            ],
            [
                1.8925152742706337e-05,
                0.9924227596285723,
                1.5534983100016177e-06,
                NaN,
                0.9149009567332237,
                NaN,
                1.2098658277264215e-06,
                1.760343632678494e-06,
                2.2603248364233586e-06,
                1.994729483630195e-06
            ],
            [
                1.4738985474764149e-05,
                4.2228344486464006e-06,
                1.0129987348120356e-05,
                3.120192244877375e-05,
                9.6102435992146e-05,
                NaN,
                8.93969310662177e-06,
                0.9999038976217439,
                3.5356242122354885e-05,
                3.288748280658394e-06
            ],
            [
                0.9399133449870128,
                NaN,
                NaN,
                0.9924227583189394,
                0.9046505248181417,
                NaN,
                0.8519528019683105,
                NaN,
                0.9840936110580706,
                NaN
            ],
            [
                1.1478769480699576e-05,
                6.144172404129392e-06,
                4.222831931129981e-06,
                1.2098659718363124e-06,
                1.2098653949688097e-06,
                4.222832436272325e-06,
                1.7603425837494853e-06,
                4.785096205778054e-06,
                7.338211554591642e-07,
                4.785095064148803e-06
            ],
            [
                NaN,
                2.2603240282243575e-06,
                4.222832437386106e-06,
                3.726638839656906e-06,
                0.9995694429758416,
                8.939698433974813e-06,
                NaN,
                2.9023109470554753e-06,
                6.475947981754775e-07,
                1.0129995806612563e-05
            ],
            [
                3.7266397278180926e-06,
                6.475950297868629e-07,
                2.90231094680735e-06,
                1.300713466281145e-05,
                2.561282515988704e-06,
                1.2098662604126641e-06,
                1.3709573700365957e-06,
                NaN,
                NaN,
                1.7603434231097403e-06
            ],
            [
                2.902311639073834e-06,
                8.315281267142941e-07,
                NaN,
                NaN,
                NaN,
                NaN,
                1.5534981242425021e-06,
                NaN,
                5.144223794190091e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9940889309494799,
                NaN,
                NaN,
                0.7310585844894971,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9999724642958128,
                5.422219614576807e-06,
                1.5534979396984994e-06,
                1.6701429804288556e-05,
                0.9999957771655515,
                4.222833443645997e-06,
                4.785096205651846e-06,
                0.9998415637509346,
                3.726639283040963e-06,
                1.0
            ],
            [
                NaN,
                6.475951069755593e-07,
                NaN,
                2.561282821176841e-06,
                9.422445937837332e-07,
                1.3007125339823377e-05,
                NaN,
                2.260325375520937e-06,
                NaN,
                8.315284240372801e-07
            ],
            [
                3.7266392829528392e-06,
                NaN,
                1.5534983101061718e-06,
                NaN,
                NaN,
                NaN,
                2.56128129449109e-06,
                2.9023112931873767e-06,
                NaN,
                2.260324567177841e-06
            ],
            [
                1.7603440525205244e-06,
                0.4073334000459302,
                NaN,
                8.939700564890901e-06,
                NaN,
                3.726639283040963e-06,
                NaN,
                2.1444953522913026e-05,
                1.3709575336654889e-06,
                6.475946437966953e-07
            ],
            [
                3.288748280520804e-06,
                NaN,
                1.3709570432052998e-06,
                3.2887498488151014e-06,
                2.561281904172929e-06,
                NaN,
                NaN,
                1.30071315640992e-05,
                7.889266345397582e-06,
                NaN
            ],
            [
                4.785093351411678e-06,
                2.9023116388969785e-06,
                NaN,
                NaN,
                1.994729483508644e-06,
                NaN,
                NaN,
                0.9997040429910237,
                1.3007123811513407e-05,
                4.22283495296715e-06
            ],
            [
                2.5612834319655406e-06,
                0.9999251537729474,
                0.999968798077524,
                NaN,
                0.9995121427708377,
                8.48110509642107e-05,
                0.9992903296444899,
                0.998830489675653,
                NaN,
                NaN
            ],
            [
                NaN,
                1.2098661161239298e-06,
                NaN,
                NaN,
                2.7535697604695872e-05,
                4.22283344128017e-06,
                NaN,
                0.9999756997593292,
                NaN,
                NaN
            ],
            [
                NaN,
                4.006369691549301e-05,
                1.9947301968673173e-06,
                0.9579122740368526,
                0.9995694429147549,
                NaN,
                5.4222202614355715e-06,
                0.9991959138795502,
                0.5926665999540697,
                NaN
            ],
            [
                0.9924227591173254,
                4.006370647870077e-05,
                1.4738976688274975e-05,
                0.008577487385763666,
                1.8925148236674017e-05,
                NaN,
                NaN,
                0.9324533135530545,
                NaN,
                0.9902915234200326
            ],
            [
                NaN,
                NaN,
                1.370957533322598e-06,
                NaN,
                NaN,
                1.55349756893204e-06,
                2.5612834317535587e-06,
                NaN,
                NaN,
                1.7603434228679863e-06
            ],
            [
                1.2098653949842147e-06,
                9.422443691773458e-07,
                0.9978172832691609,
                NaN,
                6.144175332283612e-06,
                7.338207180661203e-07,
                1.3709578604108674e-06,
                NaN,
                2.56128221029278e-06,
                1.9947297211279344e-06
            ],
            [
                1.012998856015592e-05,
                5.043473480678099e-07,
                3.2887502411026557e-06,
                2.561282210590951e-06,
                1.7603438427660027e-06,
                6.475945665853783e-07,
                7.889261638546534e-06,
                0.7310585786300049,
                0.9940889299780985,
                1.0677024881382882e-06
            ],
            [
                2.561281599914358e-06,
                NaN,
                5.4222196104343874e-06,
                NaN,
                8.939697368305565e-06,
                NaN,
                NaN,
                NaN,
                2.260325105911487e-06,
                3.28875063243909e-06
            ],
            [
                3.7266392829528392e-06,
                5.42222090767305e-06,
                NaN,
                3.726640616630245e-06,
                NaN,
                NaN,
                NaN,
                0.9999599363174084,
                NaN,
                NaN
            ],
            [
                6.962257078249291e-06,
                4.222832935054649e-06,
                NaN,
                0.9984988177739746,
                0.9989677687272397,
                NaN,
                NaN,
                NaN,
                0.8175744761936437,
                0.9997040428716848
            ],
            [
                NaN,
                NaN,
                2.144495351862222e-05,
                NaN,
                NaN,
                NaN,
                6.962257907348116e-06,
                1.7603434230921292e-06,
                NaN,
                5.422218969463855e-06
            ],
            [
                0.9991959140520712,
                0.9975273772729258,
                0.9947798731046352,
                0.9820137874717586,
                NaN,
                NaN,
                0.9999962733589404,
                NaN,
                NaN,
                0.9999417087414243
            ],
            [
                9.422448184912962e-07,
                4.78509563546605e-06,
                0.9999546021151431,
                2.260324567227179e-06,
                NaN,
                4.7850967754851966e-06,
                6.144173869240119e-06,
                3.7266388396128453e-06,
                1.3709570433387154e-06,
                1.5534983100595462e-06
            ],
            [
                1.9947290078746543e-06,
                NaN,
                NaN,
                0.005220126510883465,
                0.999373665711236,
                2.4300252297461515e-05,
                0.9998415637085538,
                NaN,
                0.00013982209006304925,
                NaN
            ],
            [
                1.0129990974903845e-05,
                NaN,
                7.484622675479357e-05,
                0.999841563712853,
                1.3007130013856124e-05,
                NaN,
                4.5397890183368146e-05,
                8.481106140311264e-05,
                4.222834451012227e-06,
                NaN
            ],
            [
                9.422442569028803e-07,
                9.422445938642879e-07,
                1.2098652507847127e-06,
                7.338209805133949e-07,
                1.3709570433979422e-06,
                1.0677027427413698e-06,
                1.8553905759969634e-07,
                1.0677029972920738e-06,
                9.422450431474948e-07,
                9.422450431954847e-07
            ],
            [
                0.0002959569908847567,
                1.553497384058899e-06,
                NaN,
                0.0003353499817841547,
                1.3007131556504496e-05,
                NaN,
                0.9996646497708933,
                NaN,
                7.889263468735549e-06,
                0.9998204720129281
            ],
            [
                3.7266392833663395e-06,
                1.3709573702647743e-06,
                3.726640615840528e-06,
                1.67014198374782e-05,
                1.0677032518501217e-06,
                1.5534984951419064e-06,
                7.338211554531576e-07,
                1.7603425837062577e-06,
                NaN,
                1.2098655392662613e-06
            ],
            [
                1.67014218283487e-05,
                8.315282258680767e-07,
                0.9324533041676869,
                0.9241418262465169,
                3.535625905964875e-05,
                0.04742586829697803,
                1.2098658276290391e-06,
                0.9992903296855624,
                NaN,
                0.998498817998205
            ],
            [
                0.005220125062428771,
                NaN,
                3.726640614559354e-06,
                3.5356254910985954e-05,
                2.7535694333695055e-05,
                4.78509506499309e-06,
                5.422217675756574e-06,
                4.785096205434246e-06,
                1.670142781086525e-05,
                3.72664061504742e-06
            ],
            [
                8.9396994983433e-06,
                NaN,
                NaN,
                5.422217676797111e-06,
                6.144173128017633e-06,
                5.422220906223202e-06,
                1.1478773588244838e-05,
                2.5612812947077304e-06,
                1.2098653943294976e-06,
                4.5397879405741464e-05
            ],
            [
                9.422445937528824e-07,
                3.7266379506485954e-06,
                NaN,
                6.962253756460032e-06,
                5.422221554374162e-06,
                1.370956879727337e-06,
                NaN,
                1.553497198801472e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                0.00015843623175799292,
                0.999903897575607,
                NaN,
                NaN,
                NaN,
                0.9995694428189726,
                NaN,
                NaN,
                6.605215237686751e-05
            ],
            [
                NaN,
                NaN,
                4.222832437109582e-06,
                7.338208930144969e-07,
                4.222832940777184e-06,
                NaN,
                5.715002426202836e-07,
                NaN,
                NaN,
                NaN
            ],
            [
                0.7310585727705126,
                0.9999885212264422,
                NaN,
                1.067702615417244e-06,
                0.9997388097241007,
                0.998299277619794,
                0.996406397930468,
                7.889265405333033e-06,
                0.9997040429406584,
                0.7057850216484838
            ],
            [
                2.2603253752763026e-06,
                NaN,
                NaN,
                2.5612812940671274e-06,
                NaN,
                5.422221554482653e-06,
                2.5612812944538183e-06,
                NaN,
                1.9947301966568707e-06,
                NaN
            ],
            [
                1.670142376137743e-05,
                1.6701425773453086e-05,
                1.4738988996240646e-05,
                8.93969417214416e-06,
                6.605213627952045e-05,
                1.2098658275740208e-06,
                1.7603427935342762e-06,
                1.2098658276444443e-06,
                1.1478768123551712e-05,
                6.144175334094145e-06
            ],
            [
                0.9990889487732804,
                1.3007134654767206e-05,
                0.9324533083911025,
                0.014063627417739043,
                0.999933947824018,
                0.9997040427619297,
                0.9999417087417835,
                0.9988304897205296,
                0.9998911031181329,
                0.9998911031299785
            ],
            [
                0.9324533135530546,
                1.3007126911643378e-05,
                6.605216022346663e-05,
                0.00026119024337278504,
                NaN,
                6.962253756890615e-06,
                0.9669140224455339,
                NaN,
                2.430024941371131e-05,
                5.8291286249927666e-05
            ],
            [
                0.9999952149072192,
                0.7310585786300049,
                NaN,
                0.9706877725345124,
                0.9984988174003738,
                NaN,
                7.88926634644516e-06,
                NaN,
                4.222835457852533e-06,
                0.9669140242331868
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.9999151889185471,
                0.9959298627258002,
                0.9999832985741968,
                0.9984988174719182,
                4.7850933535006355e-06,
                NaN
            ],
            [
                8.939695237341456e-06,
                NaN,
                9.610240320107613e-05,
                0.9992903295532635,
                1.0129992182443859e-05,
                2.753569434711804e-05,
                NaN,
                0.9964063966540825,
                NaN,
                0.999620015533845
            ],
            [
                NaN,
                0.9986749774167225,
                NaN,
                NaN,
                0.8354835289107307,
                NaN,
                0.08509903804604459,
                NaN,
                1.0677033786203283e-06,
                NaN
            ],
            [
                6.962258734066175e-06,
                7.889265406294507e-06,
                1.20986611609532e-06,
                8.939696300636336e-06,
                1.9947290080125335e-06,
                3.7266388394569345e-06,
                1.994730672496148e-06,
                4.4508505192819656e-07,
                7.338208055436404e-07,
                4.222834450950777e-06
            ],
            [
                3.2887494567070593e-06,
                1.760344052650207e-06,
                5.043474683156057e-07,
                2.902310945397788e-06,
                4.222834450820197e-06,
                2.7535700927485757e-05,
                1.0129995809044816e-05,
                2.5612819052374947e-06,
                0.9971990734029083,
                NaN
            ],
            [
                8.93969949421299e-06,
                2.1444943264773968e-05,
                NaN,
                3.7266401683992647e-06,
                2.5612822097104134e-06,
                NaN,
                NaN,
                1.670142581075876e-05,
                1.7603440516687816e-06,
                NaN
            ],
            [
                4.785092782936557e-06,
                NaN,
                2.5612834318583854e-06,
                NaN,
                NaN,
                0.022977371457191222,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                1.5534973841450852e-06,
                3.0590219045271286e-07,
                3.4663278639044955e-07,
                3.7266383952696564e-06,
                1.370957370247318e-06,
                1.9947306725451314e-06,
                4.2228324372555256e-06,
                7.338209805040511e-07,
                9.422443692090534e-07,
                1.9947306726213275e-06
            ],
            [
                3.288749062696731e-06,
                NaN,
                NaN,
                2.902311292831027e-06,
                2.2603248365960415e-06,
                1.473898891305024e-05,
                5.829125815626454e-05,
                NaN,
                NaN,
                1.0
            ],
            [
                NaN,
                3.535625063370289e-05,
                5.715005151550947e-07,
                0.0,
                4.222832437497486e-06,
                NaN,
                1.4738978444575072e-05,
                1.2098662602861223e-06,
                1.6701425781108648e-05,
                NaN
            ],
            [
                1.5534983100765009e-06,
                1.209865394936899e-06,
                6.1441775290176756e-06,
                NaN,
                5.715003788557066e-07,
                0.9465966698235383,
                6.1441775309064404e-06,
                1.7603438427243761e-06,
                1.209865394936899e-06,
                1.9947297214182054e-06
            ],
            [
                2.9023109428848617e-06,
                1.5534984951164742e-06,
                NaN,
                0.9999785550517036,
                6.962254588433232e-06,
                1.1478764009139048e-05,
                8.315282256933784e-07,
                NaN,
                5.422218968822766e-06,
                1.067703378938839e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9902915241990256,
                NaN,
                8.93969417167259e-06
            ],
            [
                0.9820137892483238,
                0.9324533074525657,
                NaN,
                0.3208213138121609,
                0.9996646500223234,
                0.9999910602994335,
                1.6701423790298435e-05,
                NaN,
                1.9947299590810645e-06,
                NaN
            ],
            [
                3.9278638743632333e-07,
                NaN,
                NaN,
                1.553498309846199e-06,
                8.315283248842301e-07,
                4.222833442309458e-06,
                3.726639727092773e-06,
                NaN,
                1.3007129999045263e-05,
                NaN
            ],
            [
                0.9975273771058107,
                0.9998911030656579,
                0.9998601778610972,
                0.9992903294685591,
                0.9999599363221864,
                NaN,
                0.9933071496019913,
                0.9996646498121056,
                0.9994472214575892,
                0.9959298632448877
            ],
            [
                NaN,
                NaN,
                0.9971990736662858,
                2.260324836250676e-06,
                NaN,
                NaN,
                1.209866260303728e-06,
                NaN,
                3.72663972679451e-06,
                NaN
            ],
            [
                NaN,
                0.9706877672347239,
                0.9996200154265803,
                0.9997388097566272,
                1.0,
                0.9995121429480905,
                NaN,
                NaN,
                NaN,
                0.9995121427668356
            ],
            [
                4.222832939978334e-06,
                NaN,
                7.889262575797963e-06,
                1.147876537941964e-05,
                NaN,
                NaN,
                4.222834449076551e-06,
                1.4738978444575072e-05,
                8.93970055837021e-06,
                NaN
            ],
            [
                0.9975273769863607,
                0.9933071501499378,
                2.9023126768258393e-06,
                1.6701429781200352e-05,
                NaN,
                2.561283126639892e-06,
                0.9999599362935078,
                0.9796676473993798,
                3.726640170337971e-06,
                0.9998204720771783
            ],
            [
                4.222833444229772e-06,
                1.012999097195566e-05,
                1.0677028699955933e-06,
                1.3007133108001712e-05,
                NaN,
                0.7549149868676283,
                NaN,
                6.144173135181524e-06,
                NaN,
                NaN
            ],
            [
                1.670142980112912e-05,
                1.370957206753107e-06,
                2.561282515028964e-06,
                NaN,
                7.889260702141888e-06,
                1.3007130013288297e-05,
                4.785092782188013e-06,
                8.93969310647542e-06,
                0.00015843625386472175,
                NaN
            ],
            [
                3.4663266238209465e-07,
                8.315284240236674e-07,
                4.450849987145065e-07,
                1.0,
                NaN,
                9.422448182607722e-07,
                NaN,
                NaN,
                NaN,
                1.2098656833865714e-06
            ],
            [
                7.338212428479715e-07,
                1.760342792937096e-06,
                2.561281294644835e-06,
                1.9947306726049992e-06,
                2.902311638759718e-06,
                2.6995790617613663e-07,
                3.288749849477628e-06,
                3.120191134947124e-05,
                NaN,
                NaN
            ],
            [
                2.260323758598623e-06,
                3.2887482811908074e-06,
                8.315278293687262e-07,
                7.889265406438011e-06,
                1.209865827698362e-06,
                3.9278624708775595e-07,
                0.0,
                4.222833444383398e-06,
                1.2098655392464547e-06,
                2.561282515988704e-06
            ],
            [
                1.5534984953199313e-06,
                9.422447062240614e-07,
                NaN,
                4.785093353626844e-06,
                1.553498495308628e-06,
                1.5534975693036317e-06,
                5.4222196099412415e-06,
                2.902312677060767e-06,
                1.5534973841450852e-06,
                7.338212429420757e-07
            ],
            [
                NaN,
                7.88926070328992e-06,
                3.726640172385136e-06,
                4.006367761885424e-05,
                4.222833947674739e-06,
                1.300712536203966e-05,
                5.829129325648758e-05,
                NaN,
                1.14787681240737e-05,
                NaN
            ],
            [
                2.5612812945260317e-06,
                1.892515724543503e-05,
                4.222834951415536e-06,
                1.209865827507999e-06,
                6.14417753110761e-06,
                1.1478768124324254e-05,
                NaN,
                3.726637951079042e-06,
                6.1441753335241615e-06,
                1.0129993394664264e-05
            ],
            [
                NaN,
                NaN,
                1.7603425833476294e-06,
                1.0677026154055912e-06,
                0.9933071506142991,
                1.3709568795826994e-06,
                1.2098653950205268e-06,
                1.553497569203316e-06,
                2.5612822099713135e-06,
                7.338208930265102e-07
            ],
            [
                8.939695237341456e-06,
                0.9984988179352111,
                NaN,
                0.9991959139656471,
                0.999512142950645,
                0.9996646500206453,
                0.9996646499043551,
                0.017986208119727825,
                0.9993736657782394,
                NaN
            ],
            [
                0.9997965730045953,
                NaN,
                0.9770226282082864,
                NaN,
                NaN,
                NaN,
                0.9975273767463121,
                0.9669140208962347,
                0.9999984465015079,
                NaN
            ],
            [
                NaN,
                0.999903897596715,
                NaN,
                1.1478773595343877e-05,
                8.939693103418341e-06,
                NaN,
                0.9988304898793656,
                1.3709578602911673e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.994729721469003e-06,
                1.7603438427243761e-06,
                0.99719907243654,
                NaN,
                5.144223807888457e-05,
                NaN,
                0.9998204720801612,
                2.26032537546132e-06
            ],
            [
                1.1478766752748805e-05,
                1.994729007809344e-06,
                NaN,
                6.962259565748692e-06,
                0.9996646499770816,
                NaN,
                NaN,
                1.760342793515064e-06,
                1.3709578604108674e-06,
                1.370957043010787e-06
            ],
            [
                3.2887494570719725e-06,
                1.994729958696456e-06,
                8.939697363622378e-06,
                1.370956716519966e-06,
                4.7850933535006355e-06,
                3.7266397258454935e-06,
                1.760344052650207e-06,
                2.902311292831027e-06,
                8.939696300636336e-06,
                NaN
            ],
            [
                NaN,
                8.93970056424046e-06,
                NaN,
                1.2098659718363124e-06,
                1.0677028699625768e-06,
                NaN,
                1.7603427935678977e-06,
                1.370957206753107e-06,
                4.222832434513317e-06,
                NaN
            ],
            [
                0.999925153773047,
                1.2098655392662613e-06,
                NaN,
                0.9859363733183345,
                NaN,
                NaN,
                0.9971990729099695,
                0.9995694428169185,
                0.9988304896375759,
                0.9875683508847737
            ],
            [
                1.0129992183070348e-05,
                NaN,
                1.2098658274595828e-06,
                9.422445938728576e-07,
                3.2887482809933958e-06,
                2.260325105911487e-06,
                6.9622554126053955e-06,
                NaN,
                1.0677024881683915e-06,
                NaN
            ],
            [
                NaN,
                5.829127219482447e-05,
                1.0677028699858827e-06,
                8.315280276096808e-07,
                8.939695236983711e-06,
                NaN,
                NaN,
                2.561282819802456e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                4.450849458153541e-07,
                1.5534979392265922e-06,
                9.422444815563743e-07,
                NaN,
                1.3007134659451795e-05,
                NaN,
                1.2098658276290391e-06,
                4.785093924047376e-06,
                2.7535684348600347e-05
            ],
            [
                NaN,
                1.5534973841895917e-06,
                6.962254584444015e-06,
                8.315280275673297e-07,
                0.00029595709598121095,
                NaN,
                1.0129993393742954e-05,
                NaN,
                2.7535691001590016e-05,
                1.5534971989696065e-06
            ],
            [
                0.9999852610233111,
                NaN,
                2.5612834317908303e-06,
                0.9999485577680836,
                0.999999653367379,
                NaN,
                6.47595029641384e-07,
                8.315283248993556e-07,
                0.9999945777810325,
                0.00012339455880778987
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9840936085214388,
                0.9975273764976492,
                NaN,
                NaN,
                NaN,
                NaN,
                5.1442225855901594e-05
            ],
            [
                NaN,
                0.9947798746667417,
                0.9953904272864745,
                NaN,
                9.422449307015559e-07,
                0.9953904273334799,
                7.88926258417858e-06,
                6.962257909121104e-06,
                0.9964063974852755,
                5.829126540667861e-05
            ],
            [
                NaN,
                1.7603427934702357e-06,
                NaN,
                1.3709572060947562e-06,
                4.785092782779884e-06,
                3.2887498492936755e-06,
                3.726641060773727e-06,
                2.5612828213352452e-06,
                NaN,
                NaN
            ],
            [
                1.5534971989907999e-06,
                1.7603438421976406e-06,
                0.02297736748473919,
                4.78509563555309e-06,
                2.5612825145677296e-06,
                0.9820137927685546,
                3.535623804803683e-05,
                2.902312330965655e-06,
                NaN,
                1.370956716089794e-06
            ],
            [
                1.7603427934702357e-06,
                1.3709575336654889e-06,
                NaN,
                0.9999646437577306,
                0.9875683490096069,
                0.996406397361055,
                0.7981867753392728,
                0.99986017787593,
                1.7603440519921876e-06,
                NaN
            ],
            [
                0.9999687980812043,
                NaN,
                0.8807970826714614,
                0.0010322307957075644,
                0.99944722141543,
                NaN,
                NaN,
                0.9991959138741721,
                0.9890130576426459,
                0.9980732649802726
            ],
            [
                0.9859363706064844,
                5.829129320305095e-05,
                0.9890130581992439,
                NaN,
                0.9840936054016728,
                0.9999724643155093,
                0.9999970976880166,
                0.9978172837701698,
                0.998498817393743,
                0.9982992778148779
            ],
            [
                NaN,
                6.962254587597396e-06,
                5.422220261849814e-06,
                NaN,
                1.5534971988707037e-06,
                1.7603436326080487e-06,
                2.9023112919177154e-06,
                NaN,
                3.288750633139005e-06,
                2.902312676941983e-06
            ],
            [
                0.00010889696063980373,
                0.9999921107393023,
                NaN,
                0.8807970732843033,
                NaN,
                3.7266383950934104e-06,
                NaN,
                2.2603253755476615e-06,
                NaN,
                NaN
            ],
            [
                0.7549149868676283,
                0.9998415637303172,
                0.9996200155298101,
                0.9998601779106286,
                0.9241418215456966,
                0.9997040429036314,
                0.9947798741541,
                0.9996200154104071,
                0.9994472213213994,
                0.9995694428780177
            ],
            [
                5.422221553368145e-06,
                NaN,
                0.9999485577679911,
                8.315284241257637e-07,
                7.338208054381903e-07,
                0.999769493372228,
                6.475947981472062e-07,
                2.9023109470871505e-06,
                3.9278610654954594e-07,
                0.00015843623549239316
            ],
            [
                2.7535704195382043e-05,
                7.889261643382609e-06,
                1.012998735687278e-05,
                1.670141984792864e-05,
                2.561283431916622e-06,
                8.939699500489763e-06,
                4.78509563546605e-06,
                2.2603248367512505e-06,
                0.9998204720180948,
                1.0129990972361035e-05
            ],
            [
                6.47594952559303e-07,
                0.9999251537996557,
                NaN,
                0.9820137911564865,
                NaN,
                NaN,
                NaN,
                NaN,
                1.0677031245623505e-06,
                0.8807970779778824
            ],
            [
                NaN,
                4.785095063591747e-06,
                8.315284240766063e-07,
                1.7603425837494853e-06,
                1.7603430025778205e-06,
                5.422218963092418e-06,
                1.5534983097472962e-06,
                3.288749064736654e-06,
                NaN,
                1.06770286991985e-06
            ],
            [
                3.120192250053358e-05,
                2.9023112926779284e-06,
                NaN,
                1.3007129994218719e-05,
                8.939693101044227e-06,
                1.7603430034151537e-06,
                5.4222202614355715e-06,
                9.422444815765128e-07,
                NaN,
                NaN
            ],
            [
                0.9994472214690053,
                NaN,
                0.9995694428172441,
                0.9626731133251858,
                0.9997694932046717,
                NaN,
                0.9993736658736979,
                0.999820471949903,
                0.9978172835805166,
                0.9990889488086723
            ],
            [
                NaN,
                0.9999945777823293,
                0.9998204719705692,
                0.9947798741927899,
                NaN,
                0.9998911031167798,
                0.798186775339273,
                NaN,
                0.9980732651351902,
                0.9999038975850683
            ],
            [
                0.9999038975631549,
                7.889259764079887e-06,
                NaN,
                2.902312676941983e-06,
                0.00029595712934858947,
                9.422448185101494e-07,
                2.902311293147782e-06,
                2.5612825143068295e-06,
                2.2603251061849014e-06,
                8.315282258756395e-07
            ],
            [
                1.2098656833293524e-06,
                1.0677029972270124e-06,
                NaN,
                4.4508494579673306e-07,
                0.00012339452913153444,
                1.8925157198067588e-05,
                0.9740426412951848,
                2.260323758882316e-06,
                0.4378234991142019,
                0.9995121428797439
            ],
            [
                0.9998601778601696,
                0.9988304897981797,
                NaN,
                NaN,
                0.9998766053820534,
                0.8354835432479663,
                NaN,
                NaN,
                0.9997965730546725,
                0.9999646437495013
            ],
            [
                0.9914225131211092,
                0.9988304895079777,
                0.9999485578048771,
                0.9796676460637103,
                0.9997040427960807,
                0.4687906266262437,
                NaN,
                0.9999417087414828,
                NaN,
                0.9998766054403591
            ],
            [
                2.9023126769050284e-06,
                NaN,
                NaN,
                2.6995771309333195e-07,
                NaN,
                NaN,
                NaN,
                4.222834449583514e-06,
                1.0129994599624903e-05,
                2.9023126768258393e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                0.999769493314775,
                0.9953904270984533,
                0.9980732650089279,
                NaN,
                NaN,
                1.89251572498413e-05,
                NaN
            ],
            [
                0.999989870004204,
                8.939698433145498e-06,
                1.370957370146321e-06,
                0.9964063967357843,
                1.7603427934702357e-06,
                NaN,
                7.88926258381982e-06,
                4.785094494402695e-06,
                0.9999852610216247,
                NaN
            ],
            [
                0.9999251537906851,
                0.9997388096312861,
                NaN,
                1.3709578605355551e-06,
                0.9989677688364792,
                3.1201900183543295e-05,
                0.9999151889890513,
                0.9999785550464995,
                4.222832940777184e-06,
                1.6701415869924985e-05
            ],
            [
                3.120191878131786e-05,
                1.3709576970949014e-06,
                7.889261642134126e-06,
                1.7603425835461557e-06,
                5.422221553910605e-06,
                4.785094492661896e-06,
                6.144174600605357e-06,
                1.0129988563546333e-05,
                2.561283126304449e-06,
                2.9023126770343703e-06
            ]
        ]
    },
    {
        "q_id": "10431_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            5,
            6,
            7,
            9,
            11,
            12,
            13,
            15,
            18,
            20,
            22,
            23,
            24,
            28,
            30,
            31,
            32,
            33,
            34,
            36,
            37,
            38,
            39,
            40,
            42,
            43,
            44,
            45,
            48,
            51,
            52,
            53,
            55,
            56,
            57,
            60,
            62,
            66,
            67,
            68,
            69,
            71,
            73,
            75,
            77,
            79,
            80,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            91,
            92,
            93,
            94,
            95,
            96,
            98,
            99,
            100,
            101,
            103,
            104,
            106,
            109,
            110,
            114,
            115,
            116,
            117,
            120,
            122,
            125,
            126
        ],
        "rewards": [
            [
                3.726640172385136e-06,
                5.144221359998557e-05,
                4.5397879417962496e-05,
                4.539785238142359e-05,
                0.00010889693488397425,
                1.1478764018827141e-05,
                4.0063706494441236e-05,
                2.9023122835526207e-06,
                2.260324567177841e-06,
                1.370957370196196e-06
            ],
            [
                NaN,
                3.120191134947124e-05,
                4.222834450666572e-06,
                NaN,
                1.4738978431545582e-05,
                2.1444956061196638e-05,
                NaN,
                1.3007130006521673e-05,
                1.1478772227651366e-05,
                1.3007125358230479e-05
            ],
            [
                6.144173866937839e-06,
                NaN,
                NaN,
                3.7266392824512166e-06,
                NaN,
                1.0129987352948008e-05,
                1.892515272576973e-05,
                2.5612815988544507e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                1.3007126907455643e-05,
                8.939693105662367e-06,
                NaN,
                1.1478769483372156e-05,
                1.4738985477605971e-05,
                NaN,
                NaN,
                NaN,
                3.726639728184142e-06
            ],
            [
                4.539787943513799e-05,
                4.5397879450662006e-05,
                1.3007123802522791e-05,
                0.18242551713899047,
                0.3486451217982255,
                2.7535704207102113e-05,
                0.00023050663234629683,
                0.5926665999540698,
                0.0007096702642010292,
                0.29421497216298875
            ],
            [
                NaN,
                3.12019076363863e-05,
                NaN,
                NaN,
                5.144221970062134e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                9.610241469123354e-05
            ],
            [
                2.1444948407573453e-05,
                1.8925143722381014e-05,
                1.0129993391531815e-05,
                4.539786861523573e-05,
                NaN,
                1.1478768122069266e-05,
                2.144495863045236e-05,
                5.422217030288788e-06,
                2.144495863411905e-05,
                2.902311984783477e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.2098661873714967e-06,
                NaN,
                NaN,
                7.889263523668778e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.0,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478772227651366e-05,
                NaN,
                NaN
            ],
            [
                0.6791786926816161,
                NaN,
                6.605214458361157e-05,
                5.144221975938208e-05,
                5.4222215516717245e-06,
                1.1478768123823146e-05,
                6.605217609735863e-05,
                4.78509449306228e-06,
                4.006369691782494e-05,
                1.4738981968060613e-05
            ],
            [
                0.00020342706968894909,
                0.0015011820040635208,
                5.144220750870732e-05,
                6.605217587581997e-05,
                0.00015843629221379494,
                0.0001795279229261989,
                0.00010889687016247747,
                2.1444958633416914e-05,
                5.144221363404434e-05,
                2.4300246515109972e-05
            ],
            [
                1.8925141455974863e-05,
                2.902310946332217e-06,
                3.535626331905454e-05,
                1.1478765387416494e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                6.9622545863942985e-06,
                NaN
            ],
            [
                5.144220132535887e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.997817283194618,
                0.946596670011857,
                0.9978172834075976,
                0.989013055831172,
                0.9902915234468944,
                0.9465966739665495,
                0.8933094074745443,
                0.679178699175393,
                0.34864514210180597,
                0.7057850154599562
            ],
            [
                4.78509506425325e-06,
                4.5397857652647346e-05,
                1.4738978453743973e-05,
                3.535624227425594e-05,
                0.0002959570620541253,
                0.817574471748733,
                7.484623599667974e-05,
                0.0001088969610644462,
                0.00012339460371807342,
                5.829124461687359e-05
            ],
            [
                1.4738983719589221e-05,
                6.9622554171645e-06,
                NaN,
                NaN,
                1.7603440526662173e-06,
                NaN,
                3.535623805665442e-05,
                NaN,
                1.5534983097472962e-06,
                NaN
            ],
            [
                4.5397890268254766e-05,
                6.962254589433702e-06,
                5.8291258551949844e-05,
                NaN,
                3.120192251903545e-05,
                1.6701421837705495e-05,
                4.0063696922780274e-05,
                1.8925145981283003e-05,
                5.829128621218275e-05,
                6.962254587420098e-06
            ],
            [
                NaN,
                7.88926540679677e-06,
                4.539789021837975e-05,
                NaN,
                NaN,
                2.9023112925670636e-06,
                1.0129995808178788e-05,
                NaN,
                NaN,
                1.4738980212296288e-05
            ],
            [
                0.9968273176479266,
                0.9875683518566588,
                0.9770226288773312,
                0.9324533149608596,
                0.8933094025038599,
                9.610239187592415e-05,
                0.9978172832356927,
                NaN,
                0.9770226299227133,
                0.9953904271625514
            ],
            [
                4.539787938922657e-05,
                NaN,
                5.144222588434628e-05,
                NaN,
                1.3007123808910861e-05,
                8.481103110512576e-05,
                6.605217561343362e-05,
                NaN,
                0.00010889689613219725,
                1.670141785237998e-05
            ],
            [
                5.1442238103586536e-05,
                NaN,
                1.8925148215055747e-05,
                2.43002523073625e-05,
                NaN,
                1.012999339309804e-05,
                NaN,
                NaN,
                2.144494329496561e-05,
                9.61024490400584e-05
            ],
            [
                9.610243727442389e-05,
                2.4300240706150922e-05,
                NaN,
                1.147876675686207e-05,
                8.93969310418261e-06,
                NaN,
                NaN,
                5.144219522921654e-05,
                NaN,
                2.430024069518912e-05
            ],
            [
                0.9924227592959116,
                2.43002494076116e-05,
                0.9324533112067128,
                0.9579122710330503,
                0.9991959140694683,
                0.9820137875375573,
                0.9840936119619278,
                0.9988304898688943,
                0.962673111584966,
                0.991422513825979
            ],
            [
                2.4300231997886442e-05,
                NaN,
                NaN,
                NaN,
                2.9023112925037123e-06,
                NaN,
                NaN,
                3.120190392670705e-05,
                NaN,
                NaN
            ],
            [
                0.10669058755477132,
                NaN,
                0.00023050673977361526,
                0.00010889692207498694,
                4.539788482626311e-05,
                NaN,
                0.0,
                2.144495863411905e-05,
                NaN,
                4.2228319304693935e-06
            ],
            [
                0.6791787056691697,
                5.422221555192784e-06,
                0.0024726231572090532,
                0.0001398221403960178,
                0.8519528057272543,
                0.7057850402140659,
                0.00029595709336348644,
                0.0019267343602085121,
                0.9149009561531424,
                0.7981867801399694
            ],
            [
                6.144176061860845e-06,
                7.8892654060075e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                0.9525741311981335,
                3.288749849000549e-06,
                NaN,
                8.481103104157175e-05
            ],
            [
                NaN,
                8.481101074748604e-05,
                NaN,
                NaN,
                7.889262580791891e-06,
                5.422219615750493e-06,
                NaN,
                NaN,
                7.889264458107755e-06,
                1.4738976690741464e-05
            ],
            [
                4.006367778354606e-05,
                5.4222176755001384e-06,
                7.484622710602007e-05,
                NaN,
                NaN,
                8.939700561199636e-06,
                NaN,
                1.0129995809044816e-05,
                6.1441775309064404e-06,
                1.0129994565131119e-05
            ],
            [
                1.3709576968904135e-06,
                NaN,
                1.8925155001402863e-05,
                NaN,
                1.6701419849447602e-05,
                NaN,
                3.535624644864141e-05,
                0.9940889311519651,
                4.222832939310065e-06,
                NaN
            ],
            [
                NaN,
                4.006368257301759e-05,
                NaN,
                2.1444945808361358e-05,
                0.00012339455931948047,
                4.0063696941289896e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                6.144176798590883e-06,
                NaN,
                2.4300240719941574e-05,
                5.8291272451829125e-05
            ],
            [
                NaN,
                NaN,
                1.4738980210258757e-05,
                7.889266344321303e-06,
                NaN,
                NaN,
                NaN,
                1.8925154986738235e-05,
                1.670141584261409e-05,
                6.1441738665802026e-06
            ],
            [
                7.484625385369293e-05,
                2.1444956072586775e-05,
                2.753569104967234e-05,
                NaN,
                1.892514597632595e-05,
                0.0001398220569919328,
                1.4738978441840487e-05,
                NaN,
                9.610246044492253e-05,
                1.670142581883963e-05
            ],
            [
                NaN,
                1.0129987347678128e-05,
                4.006371128012683e-05,
                NaN,
                NaN,
                7.484622709131757e-05,
                NaN,
                8.481103093297462e-05,
                4.006369216362198e-05,
                1.0129987354882753e-05
            ],
            [
                0.5926665999540698,
                1.0129989768616954e-05,
                NaN,
                0.00010889696109138246,
                2.7535691091443854e-05,
                2.1444958628814052e-05,
                0.0001233945601004819,
                1.3007134664514934e-05,
                0.00010889693471601869,
                4.0063677837180203e-05
            ],
            [
                5.829127929680522e-05,
                7.889262580791891e-06,
                2.7535697565829318e-05,
                3.12019113204131e-05,
                3.120190391705884e-05,
                9.610243769112924e-05,
                1.1478773595970265e-05,
                5.8291258356863845e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                3.2887486726945097e-06,
                NaN,
                NaN,
                NaN,
                2.9023130224960116e-06,
                1.4738983723664288e-05,
                4.222832436272325e-06,
                1.8925141461620395e-05,
                4.785096775580942e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                6.96225956837018e-06,
                6.144174600024198e-06,
                2.7535691069506297e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                3.1201911365248895e-05,
                3.120191132631554e-05,
                0.00010889690924064936,
                2.7535697624529836e-05,
                6.605212889714584e-05,
                1.4738985464147524e-05,
                2.9023123305485934e-06,
                6.962256247478891e-06,
                4.539787396077843e-05,
                1.3007134663876127e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                2.1444956075707356e-05,
                5.144221969687863e-05,
                1.670142383015595e-05,
                NaN,
                NaN,
                9.61024490638302e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                3.5356259112640515e-05,
                8.939698430543728e-06,
                6.962255413795828e-06,
                NaN,
                5.829126549573962e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                7.889264463216492e-06,
                NaN,
                NaN,
                4.7850956342431385e-06,
                2.9023116369172562e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9465966675637141,
                6.144173133359817e-06,
                2.144494073569759e-05,
                1.8925157257965367e-05,
                0.00010889695981587062,
                8.939698430836427e-06,
                NaN,
                4.2228354571957855e-06,
                8.939698432690187e-06,
                NaN
            ],
            [
                4.539787402650773e-05,
                6.605215235043667e-05,
                0.5312093733737563,
                0.320821300824607,
                0.34864513533394575,
                0.5621765008857981,
                1.1478770840165228e-05,
                0.7057850278370112,
                0.00013982214054859745,
                0.0011695103228511329
            ],
            [
                0.0002959571659106298,
                0.9399133540338004,
                0.914900950352329,
                0.20181322466072713,
                0.9914225126221563,
                0.979667644579633,
                0.6513548646660542,
                0.9770226312608024,
                0.957912271784001,
                0.00013982210689156329
            ],
            [
                0.007577240742607003,
                3.1201922508819695e-05,
                NaN,
                0.00012339461875639704,
                NaN,
                0.00033535026476748506,
                NaN,
                9.610246057636654e-05,
                2.7535691053278508e-05,
                3.5356250660713247e-05
            ],
            [
                3.5356250681935664e-05,
                5.8291293208140155e-05,
                NaN,
                6.962257909007124e-06,
                1.6701415850937996e-05,
                1.30071253611406e-05,
                3.2887502411564953e-06,
                1.8925143722381014e-05,
                1.670141785596473e-05,
                4.222831933864508e-06
            ],
            [
                4.539789024315211e-05,
                2.144494329192304e-05,
                2.4300246520590875e-05,
                5.829128634365382e-05,
                2.7535700911558485e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.4738980210687712e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                1.670141586949968e-05,
                5.422218969306048e-06,
                5.422217676397663e-06
            ],
            [
                1.147877222485351e-05,
                NaN,
                3.7266401706904634e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                5.829128637164443e-05,
                NaN,
                NaN
            ],
            [
                1.4738976696371488e-05,
                5.8291244503214816e-05,
                1.0129992184268048e-05,
                NaN,
                5.144223816384438e-05,
                7.889265405505236e-06,
                NaN,
                0.0,
                NaN,
                NaN
            ],
            [
                NaN,
                1.1478773597870298e-05,
                7.889260701467423e-06,
                6.540434887906728e-06,
                1.012998977022003e-05,
                2.4300252309307336e-05,
                NaN,
                NaN,
                2.753568122134716e-05,
                NaN
            ],
            [
                6.962254587951994e-06,
                1.147876538789672e-05,
                NaN,
                8.939699497855469e-06,
                NaN,
                NaN,
                1.370957860141542e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                4.222833947359807e-06,
                NaN,
                7.484626278192885e-05,
                NaN,
                NaN,
                4.222831933795376e-06,
                5.422218964808563e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                5.4222215541571775e-06,
                NaN,
                8.93969949678224e-06,
                3.726639727940109e-06,
                NaN,
                NaN,
                0.00010889686993272709,
                6.605216816665945e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478773596283455e-05,
                NaN,
                NaN,
                2.144494073796001e-05,
                NaN
            ],
            [
                NaN,
                5.144223196402427e-05,
                NaN,
                NaN,
                NaN,
                0.0,
                NaN,
                NaN,
                1.7603425836005905e-06,
                NaN
            ],
            [
                0.9859363760430977,
                0.9149009526726545,
                2.144495352474637e-05,
                1.4738987229134998e-05,
                1.3007129946615757e-05,
                NaN,
                0.9997694933682104,
                3.120190389923804e-05,
                4.539788481371178e-05,
                4.0063706346364244e-05
            ],
            [
                3.120191131836996e-05,
                7.889260701926633e-06,
                3.120190763332158e-05,
                7.484623597326465e-05,
                1.300712533821453e-05,
                2.1444953514565465e-05,
                NaN,
                1.1478765375285496e-05,
                2.4300234914166368e-05,
                NaN
            ],
            [
                1.012998977108606e-05,
                2.902311984952413e-06,
                8.939697368663308e-06,
                NaN,
                3.120190020862863e-05,
                5.8291265441454815e-05,
                2.2603237589028734e-06,
                7.48462093285157e-05,
                6.1441775309064404e-06,
                3.7266401708124794e-06
            ],
            [
                2.4300252306390083e-05,
                0.0,
                2.1444958631232504e-05,
                NaN,
                2.902312330849511e-06,
                NaN,
                NaN,
                0.9840936089587892,
                3.1201918779615236e-05,
                5.8291251595862005e-05
            ],
            [
                NaN,
                NaN,
                1.473898547154699e-05,
                NaN,
                NaN,
                0.0015011821440111147,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                3.12019113244994e-05,
                1.3007128455545335e-05,
                7.484621806670283e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478772222807315e-05,
                NaN
            ],
            [
                2.430025228711852e-05,
                2.430023781444595e-05,
                NaN,
                4.5397879378987325e-05,
                5.4222183222304545e-06,
                5.422221553910605e-06,
                1.3007130011300897e-05,
                2.753569764776963e-05,
                4.22283193160622e-06,
                1.89251482372248e-05
            ],
            [
                4.222834443776483e-06,
                2.753569106650115e-05,
                NaN,
                4.5397890257685224e-05,
                3.120191134459038e-05,
                NaN,
                4.785093924103951e-06,
                2.430025228977057e-05,
                NaN,
                3.1201907645920996e-05
            ],
            [
                1.1478768119939555e-05,
                NaN,
                1.3007134662054344e-05,
                NaN,
                2.430024072188641e-05,
                1.8925150491445666e-05,
                7.889259758619574e-06,
                2.9023133689317184e-06,
                6.962257078553231e-06,
                1.6701419847381817e-05
            ],
            [
                NaN,
                NaN,
                7.889261641416608e-06,
                1.2098661160436029e-06,
                1.1478772224060087e-05,
                NaN,
                6.144174601499446e-06,
                1.0129994599072117e-05,
                1.8925143722381014e-05,
                1.7603440526133836e-06
            ],
            [
                6.962254589433702e-06,
                0.00012339458932609783,
                2.753569437266178e-05,
                2.7535684521195802e-05,
                NaN,
                6.605212094194375e-05,
                NaN,
                NaN,
                NaN,
                1.3007130002736148e-05
            ],
            [
                0.00010889692200685404,
                7.484621816308591e-05,
                NaN,
                4.785094493636744e-06,
                7.889266343316778e-06,
                4.222833947359807e-06,
                NaN,
                1.892515048820981e-05,
                1.0129988564430787e-05,
                1.892515049423401e-05
            ],
            [
                4.006370650653807e-05,
                7.484626284672882e-05,
                8.481103098357103e-05,
                0.00037998443844056953,
                NaN,
                0.9740426436969953,
                1.4738978450419574e-05,
                7.88926258532661e-06,
                5.8291286049328275e-05,
                5.8291251603919903e-05
            ],
            [
                1.6701423819158677e-05,
                2.9023126766305067e-06,
                7.484620926480483e-05,
                9.610239119353451e-05,
                3.120192622644674e-05,
                NaN,
                5.829129323316207e-05,
                1.8925141444270707e-05,
                4.785092782936557e-06,
                NaN
            ],
            [
                8.939699498814873e-06,
                NaN,
                5.422218316756543e-06,
                NaN,
                NaN,
                2.2603248351364597e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                2.2603248362013377e-06,
                NaN,
                6.962254588977791e-06,
                NaN,
                NaN,
                1.012998976091482e-05,
                NaN,
                1.4738988990959142e-05,
                NaN,
                2.9023123302212795e-06
            ],
            [
                0.6224593312018546,
                0.0002611903390220111,
                6.962254588724508e-06,
                NaN,
                NaN,
                1.892515272576973e-05,
                1.3007131562845248e-05,
                NaN,
                NaN,
                0.0002959571306574519
            ],
            [
                NaN,
                7.484624492545807e-05,
                NaN,
                1.3007131503317878e-05,
                NaN,
                1.0129987353537646e-05,
                NaN,
                1.4738981968060613e-05,
                9.610240328497651e-05,
                NaN
            ],
            [
                3.120191506868607e-05,
                2.1444943291142893e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                6.605212887119557e-05,
                7.889266345584138e-06,
                5.422217674937953e-06,
                NaN
            ],
            [
                0.9992903295481449,
                NaN,
                0.6224593241981982,
                5.829129325648758e-05,
                0.00012339458849123405,
                NaN,
                8.481102108148808e-05,
                2.4300246515109972e-05,
                4.539785763051739e-05,
                NaN
            ],
            [
                2.4300240704824895e-05,
                NaN,
                1.3007134658978603e-05,
                NaN,
                2.7535704207102113e-05,
                NaN,
                1.892514371356847e-05,
                NaN,
                NaN,
                7.889262580217877e-06
            ],
            [
                0.9999687980997913,
                0.9241418215456967,
                0.9933071499518102,
                0.9982992777721847,
                0.8354835371034368,
                0.9820137885903368,
                0.9933071475866627,
                0.9706877724285168,
                0.9875683507933021,
                0.9997965729781864
            ]
        ]
    },
    {
        "q_id": "10648_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.0129994600398803e-05,
                9.610244927358124e-05,
                0.34864514210180597,
                0.00017952796506569833,
                0.9947798734625173,
                0.00029595713403293917,
                8.481108174842393e-05,
                5.8291293247581486e-05,
                0.999738809784176,
                1.7603436330179102e-06
            ],
            [
                2.1444943292703185e-05,
                0.0009110513043379822,
                7.48462625254517e-05,
                0.32082130731838393,
                0.10669058471438037,
                3.2887490648622804e-06,
                0.0007096702899590827,
                0.622459324198198,
                0.00013982207383264923,
                2.1444956077189637e-05
            ],
            [
                2.2603245672497918e-06,
                1.5534975693601474e-06,
                2.9023116390104826e-06,
                1.7603432133136672e-06,
                6.144176066051891e-06,
                1.6701423824262386e-05,
                2.9023133684090715e-06,
                1.760343213227212e-06,
                2.2603251060985603e-06,
                1.9947299592933255e-06
            ],
            [
                0.0001584361786580577,
                6.605212095972449e-05,
                3.53562506877236e-05,
                2.144494328685209e-05,
                0.9975273762765519,
                0.9978172836550594,
                5.144222589744581e-05,
                2.7535700943413033e-05,
                1.8925157262578186e-05,
                1.1478773598329648e-05
            ],
            [
                6.962253757295868e-06,
                9.610239174727693e-05,
                4.006370636560259e-05,
                7.889265406567165e-06,
                2.4300232036606334e-05,
                0.9940889323504579,
                0.651354857898194,
                1.4738985483504099e-05,
                2.5612815998491325e-06,
                3.5356238024242e-05
            ],
            [
                2.753568452790729e-05,
                1.8925155005051806e-05,
                0.9964063979513104,
                1.209865827740176e-06,
                0.4378234991142019,
                1.3007123812554424e-05,
                0.8519528000888387,
                4.785092783267308e-06,
                7.484626287395567e-05,
                7.889261644501938e-06
            ],
            [
                3.535625908948878e-05,
                0.2018132270610754,
                0.9241418184118163,
                4.5397852361605714e-05,
                0.705785040214066,
                0.8519528038477825,
                6.144176062777288e-06,
                0.5,
                0.985936374235198,
                0.18242552380635635
            ],
            [
                0.998830489716586,
                5.1442225851784594e-05,
                3.2887482811579057e-06,
                0.9947798752059827,
                4.222833444383398e-06,
                0.9740426454394852,
                0.999876605425066,
                0.9999339478631871,
                0.8354835371034368,
                1.300712691308661e-05
            ],
            [
                1.6701421843720577e-05,
                0.9399133550857522,
                3.5356238064371654e-05,
                6.9622562478334885e-06,
                4.539785778740889e-05,
                2.1444950958338794e-05,
                0.9740426404945812,
                4.785092782597101e-06,
                8.315280276399315e-07,
                1.1478766756444477e-05
            ],
            [
                0.9999417087205725,
                0.9940889299315816,
                0.9968273171324787,
                6.144173136729416e-06,
                3.288750633545794e-06,
                2.9023133690188264e-06,
                0.9999724643088991,
                1.6701417860795016e-05,
                5.829126548301662e-05,
                2.144495351940237e-05
            ],
            [
                1.2098652507583041e-06,
                1.0129995805691255e-05,
                1.370957533554517e-06,
                1.5534971989809095e-06,
                7.33820892991805e-07,
                8.9396994983433e-06,
                1.0677033791583005e-06,
                2.5612822106841303e-06,
                6.475947982022763e-07,
                6.475947210012481e-07
            ],
            [
                6.144175334094145e-06,
                7.889264461924958e-06,
                4.0063696951637786e-05,
                0.00020342704428034445,
                1.1478768123823146e-05,
                5.422221554926484e-06,
                3.7266379504926854e-06,
                1.6701425817016872e-05,
                6.9622587393661365e-06,
                2.902313022984344e-06
            ],
            [
                0.9998415638021121,
                1.0129987355564522e-05,
                1.012998977088337e-05,
                2.753569109034197e-05,
                4.539786318711917e-05,
                1.3007130012010681e-05,
                5.422218969029887e-06,
                1.892515500388139e-05,
                2.144494328864643e-05,
                1.4738981969615573e-05
            ],
            [
                5.82912653227068e-05,
                2.7535700936100516e-05,
                1.0129993391236997e-05,
                4.539785229059168e-05,
                0.5312093733737563,
                0.0007096705234327624,
                2.7535687793096995e-05,
                1.6701427812931038e-05,
                4.539788482626311e-05,
                2.144494328950459e-05
            ],
            [
                2.56128282131428e-06,
                7.338207180838067e-07,
                3.2887494571676872e-06,
                4.222833443154396e-06,
                2.902311292920774e-06,
                1.0677032518748838e-06,
                3.726640616748873e-06,
                0.957912274787803,
                2.2603234892298883e-06,
                4.785093923916815e-06
            ],
            [
                4.785092783267308e-06,
                1.9947304348595095e-06,
                9.422447061953531e-07,
                5.715007195410849e-07,
                2.260323489490968e-06,
                2.3823699519225038e-07,
                1.9947301969217434e-06,
                8.315281267861397e-07,
                7.338208930391909e-07,
                6.144176797998549e-06
            ],
            [
                1.3007126904001353e-05,
                1.0129988562661878e-05,
                1.760342793515064e-06,
                7.484622712072259e-05,
                0.9947798752035646,
                1.892515048820981e-05,
                4.539787938262061e-05,
                2.5612834318257725e-06,
                0.00017952796539742315,
                1.8925150479534963e-05
            ],
            [
                4.222832941111319e-06,
                1.994730196992497e-06,
                7.889259762494174e-06,
                0.5621765008857981,
                1.5534971988707037e-06,
                1.4738981970956057e-05,
                1.7603436328994344e-06,
                1.5534981246861515e-06,
                3.2887482809933958e-06,
                1.147876812538911e-05
            ],
            [
                3.12019225291377e-05,
                2.7535704218321328e-05,
                4.785096775676685e-06,
                1.3007126911335805e-05,
                1.5534977545497995e-06,
                1.8925141468298646e-05,
                1.8925141468298646e-05,
                8.481106154688048e-05,
                1.0129988563343644e-05,
                7.889265405333033e-06
            ],
            [
                6.60521287717195e-05,
                1.3007133113017532e-05,
                1.2098658277264215e-06,
                4.785095633337923e-06,
                3.726641060536473e-06,
                1.5534977545384963e-06,
                3.726638395415398e-06,
                1.7603440524628877e-06,
                1.9947290080125335e-06,
                1.8925141466439755e-05
            ],
            [
                0.9706877718985379,
                1.473897845457507e-05,
                0.0003353501451698258,
                0.9999785550592568,
                0.00010889688304276053,
                0.9999967112505429,
                0.9980732656380006,
                0.9465966739665495,
                0.9999687980886374,
                0.8519528038477824
            ],
            [
                1.2098655392662613e-06,
                1.9947306725215466e-06,
                1.5534981245957261e-06,
                5.043476486764593e-07,
                2.5612828212909852e-06,
                3.466326211113502e-07,
                4.22283193338827e-06,
                6.144174601588856e-06,
                4.222833947428939e-06,
                3.288750241500471e-06
            ],
            [
                2.3823696679040834e-07,
                7.338207180761315e-07,
                1.4449798650551755e-07,
                1.553498495295912e-06,
                1.5534981249574276e-06,
                1.209865971934245e-06,
                1.0677029972522599e-06,
                9.422448185187191e-07,
                2.5612825157045092e-06,
                1.6373762769034363e-07
            ],
            [
                0.9999485577986083,
                2.4300252313904224e-05,
                1.1478765388105516e-05,
                0.8175744806385543,
                8.939697368500698e-06,
                1.1478770861211786e-05,
                9.610243758625373e-05,
                0.9840936095419229,
                3.120190017639228e-05,
                0.00013982207313078314
            ],
            [
                8.315280276546789e-07,
                9.61024602225864e-05,
                5.422219615750493e-06,
                4.006370173105521e-05,
                0.9740426412951848,
                0.798186768138228,
                4.785095635017795e-06,
                0.7981867801399695,
                2.1444956071728615e-05,
                7.88926352599354e-06
            ],
            [
                0.9046505440982948,
                1.670141985166528e-05,
                0.9997388097532681,
                0.9399133489844307,
                1.6701421842140854e-05,
                1.6701415869924985e-05,
                0.9991959139605028,
                5.71500515159253e-07,
                0.0005527786088495219,
                0.9968273167370566
            ],
            [
                0.9992903297137973,
                0.8933094017937621,
                8.481106150677358e-05,
                1.1478772228256871e-05,
                4.222834954057889e-06,
                6.605217602719671e-05,
                0.9984988175130998,
                4.78509563550957e-06,
                0.999876605425161,
                0.00015843627271653116
            ],
            [
                7.88925976316864e-06,
                5.144220746454321e-05,
                0.00017952800811157416,
                9.610246044492253e-05,
                3.53562506877236e-05,
                1.3007131564383116e-05,
                8.481108150469728e-05,
                1.0129994601872894e-05,
                0.00013982214017019991,
                2.144494073483943e-05
            ],
            [
                7.484620927188383e-05,
                5.144219523595344e-05,
                6.144173136131494e-06,
                4.5397852399094525e-05,
                2.1444958623509054e-05,
                5.144221974927673e-05,
                7.484620038721724e-05,
                2.4300240725599276e-05,
                0.00015843629147844053,
                0.9997388097215321
            ],
            [
                5.144222590043998e-05,
                3.7266379512112265e-06,
                2.430024360519357e-05,
                4.0063711272110856e-05,
                0.5312093733737563,
                0.00012339460410229036,
                0.7057850216484838,
                7.889266345770692e-06,
                1.8925150482908516e-05,
                0.9996200155599676
            ],
            [
                9.610244921065592e-05,
                5.422218322851817e-06,
                2.902313023063532e-06,
                3.726640172503764e-06,
                0.5926665999540698,
                2.2603245672497918e-06,
                1.3007126911974612e-05,
                0.985936374144803,
                5.144223198722914e-05,
                1.3007126911974612e-05
            ],
            [
                1.670141584741401e-05,
                0.9046505344582187,
                4.222834954514924e-06,
                7.889261644057078e-06,
                7.484621796051808e-05,
                0.9984988177760686,
                4.785096776194573e-06,
                1.6701427809710842e-05,
                3.7266388396128453e-06,
                5.422220908560712e-06
            ],
            [
                8.939695237341456e-06,
                3.288749849114211e-06,
                1.1478769493331685e-05,
                1.0129987354366822e-05,
                2.5612825156159896e-06,
                1.9947304348595095e-06,
                1.3709573702248741e-06,
                6.9622537576631295e-06,
                2.5612831263929686e-06,
                3.120190760119872e-05
            ],
            [
                6.9622562472889285e-06,
                4.7850956351657615e-06,
                0.7057850340255386,
                3.927861066113479e-07,
                4.4508505193932864e-07,
                8.315280276546789e-07,
                1.2098652508056196e-06,
                0.5,
                0.9996646498096079,
                0.9525741232882134
            ],
            [
                1.0677024881829577e-06,
                3.28875024125221e-06,
                1.994729721396435e-06,
                2.26032537546132e-06,
                6.962255416328664e-06,
                3.288749849000549e-06,
                1.0677032518316716e-06,
                1.2098659719601033e-06,
                1.2098656834041774e-06,
                2.382368247909451e-07
            ],
            [
                2.260323758882316e-06,
                0.00017952805085969144,
                0.18242552158390102,
                2.1444945839255133e-05,
                6.9622562489985925e-06,
                3.726639728262097e-06,
                1.1478769492392108e-05,
                0.00029595713124299565,
                2.4300240714549077e-05,
                3.535624643449313e-05
            ],
            [
                5.144221975938208e-05,
                3.2887494572873306e-06,
                0.9984988180634673,
                0.8670357477770336,
                0.6224593241981982,
                0.9986749775076113,
                0.00010889688283360843,
                1.3007131559390956e-05,
                0.9999151889485385,
                0.00015843627325363947
            ],
            [
                3.2887506320741766e-06,
                8.939694171135975e-06,
                1.209865394617793e-06,
                2.6995784182140636e-07,
                1.994729483680993e-06,
                1.553497569203316e-06,
                1.855391239544352e-07,
                1.209865827698362e-06,
                1.9947306725669014e-06,
                8.315284241597959e-07
            ],
            [
                1.0129988562422337e-05,
                9.422444815679433e-07,
                2.561283432005142e-06,
                9.422450431569214e-07,
                1.994729245917502e-06,
                1.370956716529941e-06,
                6.144177531459659e-06,
                3.7266379512857925e-06,
                1.3007123806450271e-05,
                4.222834451169694e-06
            ],
            [
                2.1444948401176257e-05,
                1.4738976694012237e-05,
                0.7057850278370112,
                3.1201900190126774e-05,
                1.892514371356847e-05,
                5.4222183231674305e-06,
                0.9995121427657854,
                1.994730434847717e-06,
                1.3007130011300897e-05,
                7.889260703619978e-06
            ],
            [
                0.880797071719777,
                0.5926665999540697,
                5.422220907554695e-06,
                6.6052175821036e-05,
                0.5,
                3.120191880379252e-05,
                0.0004878571174462304,
                9.610242623732592e-05,
                6.605216032919004e-05,
                2.7535691091443854e-05
            ],
            [
                0.037326884399142314,
                8.939693105076969e-06,
                0.9820137881297458,
                1.4738981964307261e-05,
                2.4300232036606334e-05,
                8.939694170518055e-06,
                2.4300243618542217e-05,
                2.7535681224252135e-05,
                8.939700565102295e-06,
                6.144173868882483e-06
            ],
            [
                1.3007130010117919e-05,
                2.90231163910023e-06,
                1.0129990978644356e-05,
                1.0129993388546776e-05,
                2.5612831266608576e-06,
                8.93969417199781e-06,
                4.22283545795623e-06,
                2.2603240281606297e-06,
                1.0129995806317745e-05,
                7.889260704423598e-06
            ],
            [
                6.962259567749634e-06,
                4.785093353100252e-06,
                4.785092782779884e-06,
                1.0129992186387057e-05,
                1.3007123806876143e-05,
                1.4738987240475486e-05,
                1.3007123810638006e-05,
                1.1478766753082876e-05,
                1.012999460251781e-05,
                3.2887486729337966e-06
            ],
            [
                3.7266388395111645e-06,
                1.8925150493717652e-05,
                0.9796676467315452,
                4.22283545808297e-06,
                3.120191136263821e-05,
                0.9579122675786776,
                6.962253759752719e-06,
                1.1478772228256871e-05,
                0.00015843623483772053,
                8.315281267581578e-07
            ],
            [
                2.144495863201265e-05,
                6.605212877796679e-05,
                8.939698428559877e-06,
                3.726640616423495e-06,
                1.147876812106705e-05,
                1.994729008074216e-06,
                8.481103064050281e-05,
                7.338211554641698e-07,
                4.222831934052698e-06,
                3.2887486717014682e-06
            ],
            [
                3.9278605978547293e-07,
                0.00020342697259465243,
                0.9149009596336302,
                2.1444945852673643e-05,
                5.422217676925328e-06,
                2.7535681242383173e-05,
                4.222833444229772e-06,
                0.00020342702151471094,
                8.939696302831578e-06,
                4.222833444383398e-06
            ],
            [
                2.430023202688216e-05,
                4.785096204868486e-06,
                2.1444940738662144e-05,
                2.43002494076116e-05,
                0.00048785704833322123,
                0.0001795279015338702,
                3.535624646549072e-05,
                3.120190392670705e-05,
                3.2887486724851334e-06,
                6.962257908487893e-06
            ],
            [
                4.785093923603471e-06,
                1.6701417860795016e-05,
                0.7549149758396752,
                0.9626731121204184,
                5.144219521911119e-05,
                6.60521446167703e-05,
                5.144220120147483e-05,
                4.5397890268254766e-05,
                1.0129992186774007e-05,
                4.222834954461155e-06
            ],
            [
                0.9525741281688026,
                0.9989677687980654,
                0.9796676481785204,
                1.8925157263094544e-05,
                0.9980732655428561,
                0.9999151889182053,
                0.995929862814517,
                0.994088930528092,
                1.892515275165658e-05,
                0.9933071498806082
            ],
            [
                0.001700722081354107,
                0.0011695101170987455,
                0.0001398220400027076,
                3.2887490652810324e-06,
                0.731058584489497,
                4.539786854257018e-05,
                3.7266410608720178e-06,
                4.0063682591672956e-05,
                1.5534984953199313e-06,
                0.7549149923816048
            ],
            [
                1.3709568799679844e-06,
                2.6995790618350237e-07,
                1.0129987356706945e-05,
                6.475945665800774e-07,
                7.338209804920378e-07,
                3.4663262110803996e-07,
                6.144173136455602e-06,
                4.450849458200093e-07,
                2.6995780963588326e-07,
                6.1441731363550164e-06
            ],
            [
                0.5621765008857981,
                0.9840936056932397,
                2.699577130905084e-07,
                0.09534945718704857,
                8.764249540862797e-08,
                0.9820137901037072,
                1.4449795205389775e-07,
                0.3208213073183839,
                0.974042644827259,
                0.7772998714925403
            ],
            [
                7.88925976316864e-06,
                0.24508500210441886,
                4.539785238918559e-05,
                2.5612815999679353e-06,
                0.9525741285053949,
                2.4300232032009452e-05,
                4.7850956351657615e-06,
                0.5312093733737563,
                2.1444950962395557e-05,
                4.222831934248571e-06
            ],
            [
                1.0129993393742954e-05,
                0.999993855826863,
                0.9947798734504266,
                4.006367784956852e-05,
                0.9989677690427139,
                0.9241418163225626,
                3.5356267560968415e-05,
                0.9770226296718215,
                0.7057850278370111,
                0.9149009497722477
            ],
            [
                1.994729245722476e-06,
                5.422218968822766e-06,
                3.288748672879957e-06,
                4.45085157966176e-07,
                6.475945665046876e-07,
                1.7603438428188364e-06,
                2.9023130227124616e-06,
                3.2887486729337966e-06,
                1.7603425836678333e-06,
                1.067702487932422e-06
            ],
            [
                1.994730434816876e-06,
                1.300713466619476e-05,
                1.4738978455325741e-05,
                3.7266410609940346e-06,
                4.785096205930373e-06,
                1.553497754577351e-06,
                5.4222202623972055e-06,
                6.962255419051463e-06,
                3.535625491265802e-05,
                5.715003107715166e-07
            ],
            [
                2.430024362791279e-05,
                8.939699499026267e-06,
                8.939695237666677e-06,
                5.1442219768738885e-05,
                1.6701417852987564e-05,
                3.120191137012976e-05,
                5.1442201281194775e-05,
                7.889264466230069e-06,
                1.3007133115667397e-05,
                9.422448185435711e-07
            ],
            [
                1.670142383167491e-05,
                1.147876675124548e-05,
                1.300713311517055e-05,
                0.46879062662624377,
                2.753569764115831e-05,
                8.481107147426634e-05,
                5.1442219688644636e-05,
                0.9579122755387536,
                5.422220262195015e-06,
                1.6701429805655623e-05
            ],
            [
                1.5534975692866768e-06,
                1.2098659719601033e-06,
                9.422450431860582e-07,
                2.260323489435463e-06,
                2.430023782010365e-05,
                2.260323489435463e-06,
                3.726641060244989e-06,
                3.0590215398968196e-07,
                9.422448185264317e-07,
                9.422450431654909e-07
            ],
            [
                0.9991959140502006,
                0.000487857055372246,
                6.144173868882483e-06,
                0.9525741244662868,
                1.147876675548402e-05,
                3.120191136649749e-05,
                1.4738980211920955e-05,
                5.4222170296279735e-06,
                0.4073334000459302,
                4.78509563509613e-06
            ],
            [
                8.93969736942758e-06,
                0.0035936022387718586,
                8.48110813566102e-05,
                1.1478772227338172e-05,
                2.4300246496634032e-05,
                6.144177530146464e-06,
                6.605216032342332e-05,
                3.120191136400031e-05,
                3.535626334490732e-05,
                6.144173135628569e-06
            ],
            [
                0.9999151889485088,
                0.9626731101124724,
                3.726637951126493e-06,
                0.9997040430060411,
                2.2603251062270446e-06,
                0.939913352771458,
                0.9971990729684977,
                0.8807970858005139,
                0.9525741269907294,
                0.00020342694870731978
            ],
            [
                8.939700566565793e-06,
                2.4300243620398656e-05,
                9.610246040856568e-05,
                1.892514597770291e-05,
                1.0129995807699706e-05,
                1.8925141464512013e-05,
                2.561282515988704e-06,
                0.9324533074525657,
                2.26032402841657e-06,
                0.9933071475649926
            ],
            [
                0.9933071496917679,
                1.9947306726213275e-06,
                3.120190388402792e-05,
                8.93969630348202e-06,
                6.962255417721724e-06,
                0.9980732655847196,
                1.3007126908307386e-05,
                4.785093921975825e-06,
                6.605214464752619e-05,
                1.3709576970824327e-06
            ],
            [
                1.2098656834922064e-06,
                5.043475885674441e-07,
                3.059021175255426e-07,
                1.5534983098151152e-06,
                3.288750633518874e-06,
                0.9924227575065467,
                3.7266392836374875e-06,
                1.2098656835136636e-06,
                3.2887506329595395e-06,
                2.4300237531472425e-05
            ],
            [
                7.889260703906985e-06,
                4.222834954057889e-06,
                4.5397852378781204e-05,
                1.0677029973056687e-06,
                7.484624498426811e-05,
                0.0001398220572747136,
                9.610246060992671e-05,
                1.2098653950551882e-06,
                2.4300240702172852e-05,
                1.3007126911004571e-05
            ],
            [
                0.00033535014554058045,
                1.3709572068478697e-06,
                8.939695237666677e-06,
                1.0129995807699706e-05,
                2.9023133690637e-06,
                2.5612828210277558e-06,
                4.539785778179383e-05,
                1.4738981970956057e-05,
                6.144173136729416e-06,
                3.120191508820951e-05
            ],
            [
                0.8354835309589073,
                8.315281267834927e-07,
                1.9947299592407137e-06,
                0.00013982205731540148,
                0.0002305067418796392,
                8.315283250305684e-07,
                2.902313023039776e-06,
                5.829128637885414e-05,
                1.6701419849447602e-05,
                1.1478765386038447e-05
            ],
            [
                1.3007130014636887e-05,
                3.5356242260622145e-05,
                0.7310585786300049,
                5.829126548725762e-05,
                5.422219615967477e-06,
                5.144220748250827e-05,
                2.1444956077189637e-05,
                0.00013982205678442458,
                2.9023116390104826e-06,
                1.4738983724146862e-05
            ],
            [
                4.222831934156396e-06,
                1.6373768624837685e-07,
                0.8354835432479661,
                2.260324027815264e-06,
                0.34864514886966624,
                2.5612822104977725e-06,
                2.260324836651547e-06,
                0.9399133473013075,
                0.8670357546485408,
                1.8553912395262116e-07
            ],
            [
                2.4300252299759956e-05,
                2.902312677007974e-06,
                0.6791787056691698,
                0.5,
                3.5356237990800615e-05,
                0.00013982207363327857,
                0.4687906266262437,
                2.561282210530385e-06,
                1.14787681240737e-05,
                0.0004878570533854244
            ],
            [
                9.610244901628662e-05,
                7.3382080556433e-07,
                1.1478765387416494e-05,
                8.939696303010449e-06,
                4.222834952030037e-06,
                1.8925148238808306e-05,
                0.00026119033873322426,
                3.7266397281434697e-06,
                6.605216029362855e-05,
                4.785093353100252e-06
            ],
            [
                4.222832941072913e-06,
                0.00010889689619874565,
                0.9241418246795768,
                0.00017952802957705178,
                0.7310585844894971,
                0.0003353501892701162,
                0.9998766054692634,
                1.5534971989809095e-06,
                2.144495607789177e-05,
                1.0129989770662257e-05
            ],
            [
                2.1024329090685577e-07,
                8.315280276505193e-07,
                2.56128159999123e-06,
                4.4508505192091017e-07,
                1.7603427935342762e-06,
                2.6995771309523475e-07,
                9.931187406410953e-08,
                2.260324028351814e-06,
                1.3709575336405514e-06,
                7.338207180761315e-07
            ],
            [
                0.7057850278370111,
                5.1442238122674424e-05,
                0.0008040857647918609,
                0.0001233946037378229,
                6.962253759486771e-06,
                0.9997040429713907,
                0.00023050671412573248,
                3.120190391104291e-05,
                1.8925141468298646e-05,
                2.144494329496561e-05
            ],
            [
                5.043474683156057e-07,
                3.927862470816829e-07,
                1.7603425836678333e-06,
                2.699578418198104e-07,
                3.9278638755456876e-07,
                7.338210679695891e-07,
                5.715006514074756e-07,
                2.9023119850210436e-06,
                7.88926070328992e-06,
                6.475947209953583e-07
            ],
            [
                0.9324533140223229,
                9.422449308420983e-07,
                5.4222183231674305e-06,
                5.4222209070122355e-06,
                8.939699497335115e-06,
                0.9995121429391215,
                6.962255418215627e-06,
                4.222834450820197e-06,
                1.209866116137134e-06,
                5.715002426439334e-07
            ],
            [
                0.00013982202388420506,
                0.9324533140223229,
                1.4738987231065292e-05,
                4.006371126555232e-05,
                0.9995694428590541,
                4.5397868592445174e-05,
                7.889260703117714e-06,
                1.4738981966291175e-05,
                1.1478766754941153e-05,
                7.889265406567165e-06
            ],
            [
                6.962254589528684e-06,
                2.4300249419722622e-05,
                0.46879062662624377,
                0.9998415637454438,
                0.9999546021475963,
                0.9999546021259533,
                0.9796676451732639,
                0.00026119033820884815,
                0.9902915223366056,
                6.96225873895455e-06
            ],
            [
                1.8925141468298646e-05,
                6.962257909121104e-06,
                4.006370172916052e-05,
                0.9820137876033561,
                8.939696302457574e-06,
                1.6701415871049018e-05,
                0.8933093996634686,
                0.5,
                5.144220129392002e-05,
                2.2603251060738913e-06
            ],
            [
                1.8925152746768368e-05,
                0.9996200154690086,
                0.9986749773678891,
                3.5356246478738656e-05,
                0.00023050674118210262,
                3.7266410609940346e-06,
                0.6224593312018546,
                1.0129994597155795e-05,
                2.5612825160096693e-06,
                2.4300252316291068e-05
            ],
            [
                3.5356242231939725e-05,
                0.9999151889687703,
                2.4300246522270504e-05,
                0.37754066879814546,
                2.7535687798506256e-05,
                0.0001795280289397219,
                1.012998977088337e-05,
                0.7772998663336158,
                0.24508502416032488,
                0.9986749776727513
            ],
            [
                0.9953904272287861,
                0.0008040859370322253,
                4.006371124165013e-05,
                0.00026119043252816905,
                0.9995121428229208,
                8.481105108638249e-05,
                0.00020342692108787233,
                0.880797071719777,
                3.1201911339482505e-05,
                6.605215240233725e-05
            ],
            [
                3.535626751800907e-05,
                3.2887506327561457e-06,
                4.785094494463623e-06,
                2.5612822104977725e-06,
                8.939695237959376e-06,
                1.553498310118888e-06,
                1.0677033790320615e-06,
                1.0677024881499412e-06,
                6.475950297906914e-07,
                0.974042641483562
            ],
            [
                0.9997694932021598,
                5.82912863042125e-05,
                0.6224593241981982,
                0.9999724642990546,
                0.9465966647389334,
                5.715006514105942e-07,
                0.9982992774731352,
                0.5621765008857981,
                0.9998415637265896,
                1.3007128461838766e-05
            ],
            [
                4.006368730302574e-05,
                2.4300246522270504e-05,
                9.610238037737944e-05,
                1.8925143715220825e-05,
                0.0001233946041687204,
                0.0001398221228574958,
                7.484626282603639e-05,
                2.4300234912928744e-05,
                0.8519527982093666,
                0.0007096704452091643
            ],
            [
                9.422448185388577e-07,
                6.475951069961737e-07,
                4.785092783149804e-06,
                1.4738985484549675e-05,
                6.475947982002148e-07,
                1.6701427813417103e-05,
                7.889265405146477e-06,
                2.4300243621371074e-05,
                1.0129992187253088e-05,
                6.60521208117118e-05
            ],
            [
                3.4663266243111764e-07,
                2.9023109470871505e-06,
                1.3007130012341915e-05,
                3.4663262110630603e-07,
                3.466326624322211e-07,
                2.561281294616881e-06,
                1.9947301970813926e-06,
                8.315283250260307e-07,
                5.043474683156057e-07,
                7.338212429537553e-07
            ],
            [
                1.7603427931548347e-06,
                2.5612828213352452e-06,
                8.93969417150998e-06,
                7.338212429420757e-07,
                7.889262582112126e-06,
                6.962257909323729e-06,
                1.209865827698362e-06,
                6.9622537587775775e-06,
                6.475945665741875e-07,
                1.5534981244911718e-06
            ],
            [
                1.9947294836483373e-06,
                8.939697369671496e-06,
                4.0063696941289896e-05,
                3.1201900209877224e-05,
                1.5534983101478522e-06,
                6.605216041280767e-05,
                1.2098658277451275e-06,
                1.4738981970956057e-05,
                1.76034300345598e-06,
                1.3709567165530083e-06
            ],
            [
                0.9669140188702279,
                0.00017952805085969144,
                0.7981867777396212,
                0.00033535010202569783,
                8.315280276580819e-07,
                4.539786314550164e-05,
                7.889260703906985e-06,
                0.2942149721629888,
                1.1478768123823146e-05,
                1.6701425824307884e-05
            ],
            [
                2.4300232040584407e-05,
                1.1478764019328247e-05,
                1.5534983101301911e-06,
                0.00029595720318738257,
                3.5356259106723956e-05,
                0.8933094017937621,
                4.785093353687772e-06,
                6.962254588116627e-06,
                0.924141819456443,
                4.006370643585172e-05
            ],
            [
                8.48110108616364e-05,
                2.902313023039776e-06,
                7.889263525534328e-06,
                4.5397890221682726e-05,
                1.89251482355036e-05,
                6.144174601410037e-06,
                0.00043055708563337493,
                0.5621765008857982,
                5.8291286165955835e-05,
                2.5612822106654943e-06
            ],
            [
                0.7772998663336157,
                0.9875683470772699,
                1.0129994600859455e-05,
                4.0063711285810896e-05,
                0.9947798743959121,
                6.144172404380855e-06,
                0.9975273765786226,
                0.9820137903011033,
                0.9820137936897364,
                1.8925152750176348e-05
            ],
            [
                NaN,
                7.33821067986608e-07,
                8.315280276546789e-07,
                5.043474683156057e-07,
                1.5534975693036317e-06,
                0.7981867777396212,
                8.939696303758459e-06,
                6.475947981554521e-07,
                4.006370160498573e-05,
                1.275190124842887e-07
            ],
            [
                1.3709570433536782e-06,
                2.260324028372372e-06,
                0.7549149923816048,
                2.2603251061458426e-06,
                5.422217030209884e-06,
                6.475945665900901e-07,
                9.610238041093959e-05,
                2.26032348933062e-06,
                0.4073334000459302,
                9.422448185435711e-07
            ],
            [
                2.260325375634003e-06,
                0.9971990731726967,
                2.75356976629957e-05,
                5.422219616140078e-06,
                0.9241418231126367,
                1.670142781520948e-05,
                9.610246063230013e-05,
                0.0017007224070869128,
                1.892515726357648e-05,
                0.2689414096510109
            ],
            [
                0.00010889688328360234,
                2.7535681248693975e-05,
                3.726639728184142e-06,
                1.670141985166528e-05,
                8.481108168178473e-05,
                8.939696301384342e-06,
                8.939699499627926e-06,
                1.0129990978847043e-05,
                4.5397879432165314e-05,
                0.00012339456001789326
            ],
            [
                2.260323758923431e-06,
                7.338213304243302e-07,
                1.3709570433885908e-06,
                8.315278293951957e-07,
                2.5612812944538183e-06,
                1.994729245822257e-06,
                1.994729245822257e-06,
                2.561282210562998e-06,
                2.2603251062013478e-06,
                1.7603430033399058e-06
            ],
            [
                1.8925145981283003e-05,
                3.5356238059741304e-05,
                4.222834954561012e-06,
                4.222834451254188e-06,
                2.144494585197151e-05,
                7.889260704308795e-06,
                2.9023133690425823e-06,
                1.2098662604247682e-06,
                4.785096205434246e-06,
                1.3007134666644292e-05
            ],
            [
                0.8519527963298947,
                4.00637112677385e-05,
                0.9399133466701362,
                5.422220908481809e-06,
                6.605216040319643e-05,
                6.605216824595201e-05,
                2.7535687806920664e-05,
                1.6701429806475863e-05,
                0.2018132198600306,
                0.2689414096510108
            ],
            [
                6.962257909007124e-06,
                1.4738985484549675e-05,
                0.9971990725496949,
                0.999664649931147,
                2.4300240682812897e-05,
                5.144221971634078e-05,
                0.9959298625427039,
                7.338208055579897e-07,
                0.9975273768927533,
                1.5534971989992774e-06
            ],
            [
                3.120191136649749e-05,
                6.144173869240119e-06,
                7.889261642578988e-06,
                6.605213675431452e-05,
                0.9740426438382783,
                0.999903897607966,
                1.3007126911974612e-05,
                0.9999810748585277,
                2.43002465110435e-05,
                0.8519528038477824
            ],
            [
                5.422218969769604e-06,
                2.4300246513165137e-05,
                7.889260703462123e-06,
                4.006368261047406e-05,
                1.1478764019787597e-05,
                1.670142781520948e-05,
                0.00023050668716997167,
                2.43002378338943e-05,
                7.889265406151004e-06,
                4.222832437639588e-06
            ],
            [
                2.260324836567261e-06,
                0.9859363705419165,
                2.9023119850210436e-06,
                0.7057850216484838,
                0.5621765008857981,
                1.5534977545603963e-06,
                0.8933094152856197,
                0.9980732655730785,
                3.2887478885505384e-06,
                1.7603425837606927e-06
            ],
            [
                0.9959298631486206,
                0.9982992779022407,
                0.9914225139210175,
                0.7772998560157665,
                3.7266397282926013e-06,
                NaN,
                8.939696301140427e-06,
                2.2603242978213447e-06,
                0.9924227601748362,
                1.0129988563914856e-05
            ],
            [
                5.422217675628357e-06,
                6.9622554187981796e-06,
                4.222832940715735e-06,
                2.561282821209454e-06,
                2.7535681206621957e-05,
                1.0129990977004428e-05,
                3.726639727940109e-06,
                1.89251482355036e-05,
                7.889266346129453e-06,
                5.144219518243253e-05
            ],
            [
                0.8175744761936438,
                0.9984988178741366,
                2.1444953520884646e-05,
                4.222832940834793e-06,
                0.00013982214041839615,
                0.07585818158818373,
                0.00013982202386386111,
                8.481104127376647e-05,
                0.9324533107374444,
                7.88925976397226e-06
            ],
            [
                1.994729483608425e-06,
                9.422443692390473e-07,
                1.9947297211279344e-06,
                1.2098652508144226e-06,
                7.338209805170655e-07,
                6.475945666033422e-07,
                9.422443691893433e-07,
                3.2887502413389517e-06,
                1.0677029969667655e-06,
                8.764248496035163e-08
            ],
            [
                2.144494839938192e-05,
                1.012999339449843e-05,
                1.8925143715978147e-05,
                1.4738987232888351e-05,
                1.0129995806317745e-05,
                1.4738976697631541e-05,
                2.7535700923478902e-05,
                7.88926258532661e-06,
                2.1444950958338794e-05,
                1.8925143719695944e-05
            ],
            [
                7.889259763857458e-06,
                3.2887490649221017e-06,
                2.9023116390421582e-06,
                4.222832435803769e-06,
                5.829127932776453e-05,
                2.561281599881745e-06,
                2.9023126769762986e-06,
                3.120191877791261e-05,
                0.00015843625383705955,
                2.56128221024619e-06
            ],
            [
                9.610246038199721e-05,
                4.785095634121282e-06,
                5.422220908762902e-06,
                2.561281294644835e-06,
                0.4378234991142019,
                1.1478766756653273e-05,
                6.96225956837018e-06,
                3.2887506333394084e-06,
                1.0129987355564522e-05,
                4.785096205882502e-06
            ],
            [
                2.753569109454917e-05,
                2.4300252315495453e-05,
                4.539785777882115e-05,
                2.2603234895053587e-06,
                5.42222155426567e-06,
                0.9980732652979432,
                0.0001795279867897595,
                0.993307148246056,
                7.484621824258834e-05,
                0.880797085800514
            ],
            [
                9.610239181859224e-05,
                0.32082128783705344,
                1.9947301970106386e-06,
                5.422217030121119e-06,
                1.6701415862785876e-05,
                1.3007128464346676e-05,
                0.0010322309374788765,
                6.96225541788636e-06,
                8.93969417214416e-06,
                7.889264465239894e-06
            ],
            [
                0.9770226282082864,
                0.9996646498505665,
                0.9988304900013482,
                0.9986749776753701,
                0.8670357649558006,
                0.9953904282351271,
                0.9579122732859021,
                0.9989677689199095,
                0.9978172834329522,
                0.9996646498897299
            ],
            [
                6.962255419570695e-06,
                1.3007126911974612e-05,
                4.006371119588617e-05,
                1.0129992180269573e-05,
                0.8354835432479661,
                1.012999339449843e-05,
                6.962258737650141e-06,
                0.9046505447409666,
                1.3007133107528522e-05,
                2.5612819052072116e-06
            ],
            [
                2.699577452746696e-07,
                3.4663266243111764e-07,
                5.715003107416295e-07,
                NaN,
                0.32082129433083023,
                1.7603430033399058e-06,
                1.209866116137134e-06,
                7.338211554688417e-07,
                3.059023727869902e-07,
                6.475946437722523e-07
            ],
            [
                3.5356250701614645e-05,
                5.144220744545534e-05,
                3.726641061027928e-06,
                8.93969950000193e-06,
                3.535626335262457e-05,
                7.484626290009348e-05,
                4.222832941142044e-06,
                6.144174599867732e-06,
                1.4738978447684992e-05,
                2.9023133690188264e-06
            ],
            [
                0.997817283636804,
                1.4738983728490028e-05,
                0.0001233946038509335,
                1.147877086020957e-05,
                0.999620015514278,
                6.144177531381426e-06,
                0.8933094110250333,
                0.0010322309448015275,
                0.3486451217982255,
                6.1441760661636525e-06
            ],
            [
                0.6791787056691698,
                0.9902915218351847,
                4.539787398158721e-05,
                0.00043055708241433044,
                0.8670357649558007,
                4.7850927818311495e-06,
                0.9875683474088545,
                0.9626731101124724,
                0.9990889489844661,
                0.5621765008857981
            ],
            [
                0.9999832985801475,
                0.7310585727705126,
                0.7057850340255386,
                0.0011695105283315772,
                0.9999832985821396,
                0.9999251537727715,
                0.0001795280505619225,
                0.999978555043919,
                0.9999038976079472,
                0.9999724643121848
            ],
            [
                0.9840936082590286,
                0.9994472213185694,
                0.000487857058494394,
                NaN,
                2.7535691088138193e-05,
                2.7535681222849733e-05,
                0.0021827165178596253,
                9.61023802445372e-05,
                0.9997040429007811,
                8.939700566435704e-06
            ],
            [
                0.9998204719697047,
                7.484623614370479e-05,
                6.962257909412379e-06,
                0.9993736657554313,
                7.484626293712203e-05,
                0.00012339455993350918,
                0.9959298624313361,
                4.006371126992468e-05,
                7.484620038013827e-05,
                3.726640616477725e-06
            ],
            [
                2.1444956071728615e-05,
                0.8354835411997897,
                1.892514824021969e-05,
                4.5397857772875786e-05,
                0.00013982207349493977,
                7.484623601192678e-05,
                2.4300240728958537e-05,
                1.6701425824733193e-05,
                0.00013982212373432013,
                6.605212890195146e-05
            ],
            [
                2.561282821106957e-06,
                4.7850956352353935e-06,
                6.9622587393661365e-06,
                4.222834954134701e-06,
                1.7603430033607189e-06,
                4.222832437677995e-06,
                1.670141785651155e-05,
                6.962255419380732e-06,
                4.785096775842062e-06,
                4.222835457526079e-06
            ],
            [
                0.9980732653657756,
                4.785093923324944e-06,
                1.5534983100595462e-06,
                8.481108168178473e-05,
                0.9149009491921664,
                0.999088948981605,
                0.9999687980886309,
                0.987568349821417,
                1.670142183983204e-05,
                0.34864514886966624
            ],
            [
                1.6701423833436905e-05,
                3.2887486726287055e-06,
                4.539788485169606e-05,
                1.0677026154473471e-06,
                6.144175333926503e-06,
                7.889264465397747e-06,
                0.817574478416099,
                3.288748673035494e-06,
                5.422220261948442e-06,
                1.3709578605542582e-06
            ]
        ]
    },
    {
        "q_id": "10614_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            28,
            29,
            30,
            31,
            33,
            35,
            36,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            49,
            50,
            52,
            53,
            54,
            55,
            57,
            58,
            60,
            61,
            62,
            64,
            65,
            67,
            72,
            73,
            74,
            75,
            78,
            79,
            80,
            81,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            93,
            94,
            95,
            96,
            97,
            99,
            102,
            105,
            106,
            107,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            123,
            124,
            126,
            127,
            26,
            27,
            38,
            63,
            66,
            68,
            70,
            71,
            76,
            77,
            98,
            100,
            101,
            103,
            104,
            108,
            109,
            122,
            125
        ],
        "rewards": [
            [
                5.144223771209773e-05,
                0.0006263342756474887,
                3.120191471249683e-05,
                6.605214433179769e-05,
                0.00043055717521551113,
                NaN,
                0.0013250224893078715,
                0.00037998448959113455,
                0.00023050679405404182,
                0.00012339458651090118
            ],
            [
                0.00010889690814418504,
                6.605213645060008e-05,
                0.037326886005498904,
                0.13296423504419938,
                0.1645164710892692,
                0.000230506763342305,
                NaN,
                0.13296424535145931,
                0.04742587688008271,
                0.08509904732734558
            ],
            [
                0.9324533158993963,
                0.9997040428066463,
                0.0021827161999116934,
                0.7057850154599562,
                NaN,
                0.3775406687981454,
                0.02595735865772094,
                0.04208772806580895,
                0.02931222990339014,
                0.11920292202211756
            ],
            [
                NaN,
                3.5356267417942084e-05,
                0.00015843624618384336,
                0.06008665564415842,
                5.144220715277459e-05,
                0.00033535000647835317,
                0.00033535014396975164,
                0.001325022616243867,
                5.14422317222444e-05,
                NaN
            ],
            [
                0.00020342696792136536,
                4.539787374806651e-05,
                9.610238502685771e-05,
                NaN,
                2.753570091616638e-05,
                NaN,
                7.484620850517562e-05,
                NaN,
                5.829127885150006e-05,
                5.144220697462108e-05
            ],
            [
                0.002472622878109501,
                0.017986212495341995,
                9.61023885842331e-05,
                0.000430557077341517,
                1.1478769480156707e-05,
                NaN,
                0.02595735597334445,
                0.04742586981164345,
                9.610240157201049e-05,
                NaN
            ],
            [
                2.753568111125872e-05,
                4.5397873436925785e-05,
                3.120190348107338e-05,
                NaN,
                NaN,
                0.00033535006041337704,
                4.006369169053364e-05,
                5.829129222422757e-05,
                3.535626285679143e-05,
                NaN
            ],
            [
                0.00015843620621654148,
                NaN,
                NaN,
                0.00015843615838396078,
                3.120190357460423e-05,
                1.4738988891816981e-05,
                0.9626731109156508,
                2.4300237710750868e-05,
                1.6701421749423533e-05,
                0.0006263340285479541
            ],
            [
                0.0019267347148174071,
                0.0008040860305648851,
                NaN,
                4.5397873509591346e-05,
                4.539788994720499e-05,
                3.535623800340544e-05,
                NaN,
                NaN,
                7.484623508294619e-05,
                0.0001584361766594627
            ],
            [
                0.0002611903974025586,
                2.430023488119257e-05,
                0.007577242479446398,
                4.539785768997102e-05,
                0.0002959571549402951,
                0.4073334000459302,
                7.484622670360707e-05,
                0.0013250221386934616,
                7.484620864022082e-05,
                0.00015843617753312763
            ],
            [
                4.5397884708016386e-05,
                NaN,
                1.3007129919927814e-05,
                3.5356250525404226e-05,
                NaN,
                NaN,
                1.4738987188330685e-05,
                NaN,
                NaN,
                1.0129988520834506e-05
            ],
            [
                0.5926665999540698,
                NaN,
                4.006371116965205e-05,
                2.7535684108589493e-05,
                5.422220244422056e-06,
                7.48462624165442e-05,
                NaN,
                5.144223181057264e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.00012339458804956415,
                NaN,
                NaN,
                NaN,
                NaN,
                0.014063626746233342,
                0.00023050665474123657,
                NaN
            ],
            [
                NaN,
                0.1066905854244781,
                NaN,
                NaN,
                0.0002034269671104213,
                0.00010889686807571015,
                0.3775406617944891,
                NaN,
                NaN,
                0.0
            ],
            [
                NaN,
                0.16451646904109268,
                0.06754669020109236,
                0.16451645675203383,
                0.00037998446606651675,
                0.00026119026275189604,
                NaN,
                0.08509904500702023,
                0.02931222852544515,
                0.00017952794016544
            ],
            [
                0.00033535007902915794,
                0.939913350667554,
                0.00020342699030815765,
                0.00023050670115423635,
                NaN,
                0.46879062662624377,
                0.07585818002124355,
                0.00029595708921301535,
                0.014063627275689756,
                0.00012339452986585516
            ],
            [
                0.9902915240736703,
                6.605213579319292e-05,
                0.9947798736124408,
                0.00010889693012100823,
                0.9840936107081903,
                0.9046505293168445,
                0.00020342691027331477,
                0.6224593312018546,
                0.904650527388829,
                0.9902915239930848
            ],
            [
                NaN,
                NaN,
                0.00015843619505022594,
                0.0031726835810484723,
                NaN,
                NaN,
                0.00012339460282755193,
                6.605214405691688e-05,
                0.00020342701067647083,
                0.0001233945277831852
            ],
            [
                0.0001398221383209345,
                0.20181323186177208,
                0.0013250225378331597,
                NaN,
                NaN,
                3.1201899909647745e-05,
                0.5,
                5.1442201245264654e-05,
                5.1442218740987556e-05,
                0.00020342704094185828
            ],
            [
                6.962254572539687e-06,
                1.4738983712565087e-05,
                1.0,
                NaN,
                1.0129990852480442e-05,
                NaN,
                1.3007134548488588e-05,
                1.3007131510510372e-05,
                NaN,
                1.6701415743820966e-05
            ],
            [
                NaN,
                0.04742587671178652,
                0.07585818367743737,
                NaN,
                0.05340333544938529,
                0.0002611902905970211,
                0.34864512856608565,
                0.03308598017635717,
                0.0001584362327953263,
                0.015906394394230354
            ],
            [
                2.4300252260421222e-05,
                0.00013982207118386764,
                5.144221310519784e-05,
                NaN,
                1.1478773586657993e-05,
                NaN,
                8.939696302051047e-06,
                3.5356250599747013e-05,
                NaN,
                NaN
            ],
            [
                2.430024939320213e-05,
                1.3007129996348077e-05,
                NaN,
                NaN,
                4.785092773971444e-06,
                NaN,
                NaN,
                NaN,
                4.7850933529174686e-06,
                3.120191104890113e-05
            ],
            [
                NaN,
                0.047425872336085924,
                1.892514143752361e-05,
                0.00029595708467505225,
                NaN,
                3.12019150514328e-05,
                5.144221922903843e-05,
                4.0063711151871155e-05,
                0.0001233945876186667,
                NaN
            ],
            [
                NaN,
                0.00017952800582084373,
                NaN,
                6.605214438562051e-05,
                NaN,
                0.0015011825832232863,
                0.002472622671943391,
                0.13296425050508956,
                0.18242552602881168,
                0.22270013366638422
            ],
            [
                0.00010889686941618483,
                0.00043055703202438735,
                0.00017952791176248516,
                4.539788445170507e-05,
                NaN,
                NaN,
                0.4073334000459302,
                0.00043055700982926634,
                0.09534946168575072,
                0.4073334000459302
            ],
            [
                NaN,
                8.481107124843357e-05,
                1.4738978438140754e-05,
                3.120191115786914e-05,
                NaN,
                0.00010889688885148506,
                5.144223164439577e-05,
                6.605216734009447e-05,
                NaN,
                5.144219401432972e-05
            ],
            [
                NaN,
                7.484621692916474e-05,
                2.4300237492929326e-05,
                NaN,
                2.7535704068364516e-05,
                NaN,
                NaN,
                8.939695185452397e-06,
                NaN,
                2.1444958551891626e-05
            ],
            [
                0.00017952793824300335,
                0.09534945654437685,
                0.0002034269936939974,
                0.00013982210447470211,
                0.0004878570468005303,
                NaN,
                0.0293122277834748,
                NaN,
                0.0007096704608951621,
                0.5926665999540698
            ],
            [
                9.610245925353645e-05,
                0.22270014914315836,
                0.00012339455931948047,
                NaN,
                0.00013982210569533907,
                0.0040701381085151605,
                3.535626328432693e-05,
                NaN,
                0.04208772716466829,
                0.002472622690894593
            ],
            [
                0.0040701381632553164,
                0.0075772404204513515,
                0.0013250225299766844,
                0.000295957113375302,
                NaN,
                9.610242548921405e-05,
                0.00023050679523448867,
                NaN,
                5.1442231837894524e-05,
                0.00023050664253435093
            ],
            [
                0.0017007226110652544,
                NaN,
                0.00010889695983646894,
                6.605215195829895e-05,
                0.43782349911420193,
                0.0003799845616684498,
                NaN,
                NaN,
                2.7535703975405316e-05,
                NaN
            ],
            [
                7.484620861626118e-05,
                0.014063628476651944,
                2.1444945621438412e-05,
                9.61024144087689e-05,
                0.03732688774571863,
                1.147876398725732e-05,
                2.7535681193800006e-05,
                NaN,
                NaN,
                3.535624606869578e-05
            ],
            [
                9.610239044122789e-05,
                4.0063682420859824e-05,
                1.8925150467761954e-05,
                1.892515722478062e-05,
                0.00023050670930334062,
                0.0002611903333374701,
                8.481100859158679e-05,
                0.00013982213878477662,
                3.535624170279412e-05,
                0.00023050679398697104
            ],
            [
                6.605212839736269e-05,
                0.00010889695991727777,
                NaN,
                9.610239147460072e-05,
                0.00013982203174917147,
                NaN,
                0.0159063894375931,
                4.539788469909834e-05,
                0.00017952792016269644,
                1.6701429762608274e-05
            ],
            [
                NaN,
                0.003172682463999187,
                0.0002611903667075516,
                0.5,
                0.00013982203831822943,
                0.9465966762263736,
                0.18242551713899044,
                0.00048785707612033954,
                0.0005527785074548412,
                0.0004305569843775264
            ],
            [
                5.8291258292824745e-05,
                0.0008040860634883839,
                0.0005527786990853365,
                NaN,
                7.889259760284216e-06,
                4.006367777742476e-05,
                5.144223791944457e-05,
                0.7549149868676283,
                NaN,
                0.00020342704106024426
            ],
            [
                4.5397884309676896e-05,
                4.539785744059611e-05,
                NaN,
                7.889260684706191e-06,
                4.5397884745670375e-05,
                0.00015843621552026827,
                5.8291285719378314e-05,
                0.0002305067765887951,
                8.481104056973613e-05,
                2.753569426898426e-05
            ],
            [
                NaN,
                9.610241393892672e-05,
                0.0013250223939518344,
                5.82912652667256e-05,
                0.9465966735899121,
                0.00023050662691356246,
                0.00029595698217910367,
                NaN,
                0.05340333450779175,
                NaN
            ],
            [
                0.00013982203625738837,
                0.0009110509945531449,
                0.2018132150593341,
                0.06008665564415842,
                0.00010889694526552964,
                0.00013982210603304864,
                NaN,
                0.009708476973940887,
                0.07585817688736327,
                0.0007096702713010053
            ],
            [
                0.7057850278370111,
                0.00012339454195611416,
                0.042087727314858395,
                0.07585817740967664,
                7.484625178826254e-05,
                0.00010889690670547174,
                0.0002611904184384061,
                0.3775406687981454,
                0.0004878571023747684,
                0.18242552380635632
            ],
            [
                0.00029595702705928777,
                7.484621714697959e-05,
                0.0004878570886656989,
                NaN,
                0.06754669770938672,
                NaN,
                NaN,
                0.00020342696220924136,
                0.0009110510178651522,
                0.02033235330555682
            ],
            [
                NaN,
                1.1478769483372156e-05,
                NaN,
                NaN,
                NaN,
                4.785093921819153e-06,
                NaN,
                2.753568769713271e-05,
                NaN,
                1.3007129968950349e-05
            ],
            [
                0.9796676472880741,
                NaN,
                0.02033235107944095,
                0.00023050665445283213,
                0.24508501864634824,
                0.053403324903538434,
                6.605212864004585e-05,
                NaN,
                NaN,
                0.4073334000459302
            ],
            [
                NaN,
                2.4300243501056464e-05,
                0.13296425050508953,
                0.29421498454004374,
                0.00015843617673322858,
                0.03732688814730781,
                NaN,
                0.0003353501965193458,
                0.014063629496824204,
                NaN
            ],
            [
                0.320821300824607,
                NaN,
                0.5926665999540698,
                NaN,
                0.9994472214056538,
                NaN,
                NaN,
                0.29421496597446145,
                NaN,
                4.006368231155109e-05
            ],
            [
                7.48462625254517e-05,
                NaN,
                NaN,
                5.1442219525461983e-05,
                5.1442206966387096e-05,
                0.00017952802408399977,
                9.610240138183629e-05,
                0.0003799844912493548,
                NaN,
                0.00013982201998223793
            ],
            [
                NaN,
                NaN,
                3.120191117239821e-05,
                NaN,
                3.5356242165056954e-05,
                NaN,
                NaN,
                2.1444953360486608e-05,
                1.3007128411964497e-05,
                1.0129994591443684e-05
            ],
            [
                8.481106078484923e-05,
                NaN,
                2.7535703964586788e-05,
                1.4738985305541555e-05,
                NaN,
                4.539788948544821e-05,
                2.4300252282875242e-05,
                0.00017952795252545453,
                1.3007128406096936e-05,
                9.610245952900953e-05
            ],
            [
                0.0004305570939502839,
                0.1192029235866439,
                0.0019267348934650951,
                NaN,
                NaN,
                0.4378234991142019,
                7.484621745083132e-05,
                NaN,
                NaN,
                0.0001233945533533478
            ],
            [
                NaN,
                0.00017952802734900927,
                NaN,
                0.0001795280053141143,
                2.1444943262121474e-05,
                8.481104077335577e-05,
                NaN,
                6.605216693642322e-05,
                NaN,
                0.00013982202106453532
            ],
            [
                2.4300234361391223e-05,
                6.962258711802535e-06,
                1.0129994576039411e-05,
                1.6701423819158677e-05,
                6.1441745921562095e-06,
                1.3007129968950349e-05,
                NaN,
                5.1442218841292486e-05,
                NaN,
                1.3007134600350284e-05
            ],
            [
                NaN,
                9.61024015090852e-05,
                NaN,
                NaN,
                NaN,
                5.829124404391463e-05,
                NaN,
                0.0003353500363923867,
                7.889265310749698e-06,
                4.006369173950397e-05
            ],
            [
                NaN,
                0.00012339458638522277,
                NaN,
                0.00015843615841853857,
                0.00013982209859123216,
                4.539786829220432e-05,
                2.4300234854672095e-05,
                0.00017952794132517082,
                0.0003353500845319361,
                4.539786790113152e-05
            ],
            [
                7.484621634324277e-05,
                NaN,
                0.00033535016994208996,
                0.0002305068192995084,
                NaN,
                1.670142974681108e-05,
                0.7772998611746912,
                1.6701419710614663e-05,
                0.04742587435564,
                2.4300249386306803e-05
            ],
            [
                0.00012339452980301597,
                2.753569084412042e-05,
                NaN,
                0.0059110700520006295,
                NaN,
                NaN,
                0.0,
                1.3007128441491578e-05,
                NaN,
                0.00023050661932785574
            ],
            [
                4.006370633849401e-05,
                8.481108129984348e-05,
                5.8291279101719155e-05,
                5.1442231827040623e-05,
                0.04208773197075204,
                3.12019261368886e-05,
                2.4300249206497856e-05,
                2.430023485060562e-05,
                0.00015843621287852617,
                NaN
            ],
            [
                7.484625229359327e-05,
                0.00043055711321445005,
                0.08509904732734558,
                0.0002959571206773762,
                7.48462002587065e-05,
                9.610241411511755e-05,
                0.9997694931828133,
                1.1478769481242444e-05,
                0.00017952796369961882,
                0.00017952789540610472
            ],
            [
                6.962257055529745e-06,
                6.962256243730292e-06,
                8.481102013126335e-05,
                NaN,
                5.829125836280125e-05,
                1.1478766678626525e-05,
                1.0129993375832724e-05,
                6.962255402448723e-06,
                NaN,
                NaN
            ],
            [
                0.0001584362103797056,
                2.430025227686393e-05,
                3.53562377520806e-05,
                4.0063682503642976e-05,
                1.6701423822135842e-05,
                3.535623784005716e-05,
                2.753570418556523e-05,
                0.0001795280278348427,
                0.00012339458855766406,
                1.6701427798409776e-05
            ],
            [
                6.144173852833577e-06,
                2.753569429082165e-05,
                NaN,
                1.6701427671181633e-05,
                NaN,
                1.4738980014816383e-05,
                NaN,
                NaN,
                NaN,
                4.222832931060396e-06
            ],
            [
                NaN,
                NaN,
                0.001325022504250579,
                0.0002959570211521872,
                0.00010889692082007387,
                0.00010889688190826881,
                1.473898897632106e-05,
                NaN,
                0.5926665999540697,
                NaN
            ],
            [
                0.00020342699397220452,
                NaN,
                0.004609572284067848,
                NaN,
                5.144219497695722e-05,
                0.0330859751709289,
                5.829127218125326e-05,
                7.484623485750776e-05,
                0.00017952804444721198,
                0.0002611903648152376
            ],
            [
                NaN,
                3.288749060076536e-06,
                NaN,
                NaN,
                3.120189965311897e-05,
                2.144494048090202e-05,
                NaN,
                7.88926257419072e-06,
                NaN,
                NaN
            ],
            [
                0.9953904279295926,
                0.0005527785748905021,
                0.00017952794169085173,
                0.00020342706723539821,
                NaN,
                0.9964063977570597,
                0.000487857151818248,
                0.32082128783705344,
                0.00043055706015657946,
                0.00029595698686345104
            ],
            [
                NaN,
                1.012998733890728e-05,
                5.829129290193977e-05,
                3.535625881295411e-05,
                NaN,
                0.14804719615221756,
                0.01798620739594212,
                NaN,
                0.0002305067920553307,
                5.144223799504758e-05
            ],
            [
                NaN,
                1.6701423811563878e-05,
                8.939698430836427e-06,
                1.0129990922057619e-05,
                NaN,
                1.4738978366022797e-05,
                8.939697354808876e-06,
                1.1478772209193864e-05,
                2.753570409961804e-05,
                7.889261628788284e-06
            ],
            [
                4.006368697014415e-05,
                0.0004878570774827315,
                6.9622570457529955e-06,
                NaN,
                5.1442219002229505e-05,
                NaN,
                NaN,
                3.120191128908479e-05,
                4.5397852041547105e-05,
                1.8925152709315055e-05
            ],
            [
                2.4300237751238806e-05,
                1.6701425793503366e-05,
                1.0129993364113684e-05,
                NaN,
                1.1478770758233981e-05,
                NaN,
                3.120192231846612e-05,
                1.4738988977929642e-05,
                NaN,
                NaN
            ],
            [
                0.0001233946018328969,
                NaN,
                NaN,
                1.3007126867092504e-05,
                2.753569415098222e-05,
                NaN,
                NaN,
                1.8925157223541358e-05,
                3.120191867870629e-05,
                3.12019221354906e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                0.0002305067094508964,
                3.12019073162928e-05,
                0.0001088969461544266,
                0.00010889688257216831,
                0.9999151889389054,
                0.022977368990089356,
                NaN
            ],
            [
                0.3208213138121609,
                0.5621765008857981,
                0.00043055701195859506,
                0.6513548714339144,
                0.22270014398423357,
                0.9241418147556224,
                0.0015011824275708054,
                0.00048785703990342157,
                0.00026119029579518344,
                0.00020342691565987595
            ],
            [
                NaN,
                1.8925152683290513e-05,
                2.1444950945466384e-05,
                NaN,
                7.889266339327371e-06,
                1.4738980183824436e-05,
                8.939694154240731e-06,
                2.4300237648516142e-05,
                1.1478769484791961e-05,
                6.962253731891528e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.14804720179063335,
                NaN,
                0.1329642384799526,
                0.00013982202190880873,
                NaN,
                8.481106819166987e-05
            ],
            [
                3.5356267414597944e-05,
                NaN,
                0.002800926327861374,
                0.00012339452913153444,
                NaN,
                2.4300252281460812e-05,
                3.535623773304474e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                0.0002959572366236608,
                0.00017952791735217796,
                7.484624455462813e-05,
                NaN,
                0.0004878572090954884,
                NaN,
                NaN,
                NaN,
                7.484621570940153e-05,
                2.4300243546318093e-05
            ],
            [
                NaN,
                NaN,
                0.43782349911420193,
                0.02595735781002307,
                4.53978682624775e-05,
                0.0028009263590764886,
                0.4378234991142019,
                8.481104091280437e-05,
                0.010986941567996903,
                NaN
            ],
            [
                NaN,
                1.670141575354231e-05,
                0.00013982205458727882,
                3.120190012168126e-05,
                4.7850939098772745e-06,
                5.422219599742996e-06,
                1.892515258869336e-05,
                6.962259558378135e-06,
                NaN,
                2.4300231704393195e-05
            ],
            [
                5.8291279174664385e-05,
                0.00017952802641913455,
                1.8925154872243992e-05,
                0.0953494648991095,
                NaN,
                NaN,
                8.481100873473751e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                3.5356263103743346e-05,
                4.006369139204784e-05,
                0.00029595699995206906,
                1.300713464095004e-05,
                5.422221533977664e-06,
                6.962258732597129e-06,
                8.939697358581446e-06,
                1.1478772196749668e-05,
                4.222831933296096e-06,
                6.9622562395004554e-06
            ],
            [
                0.00017952791604617497,
                0.00010889686913256194,
                NaN,
                3.120192243379064e-05,
                NaN,
                2.7535703555886872e-05,
                0.00012339461477418556,
                5.144223787228627e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                2.1444943250731344e-05,
                1.8925154959818664e-05,
                NaN,
                0.00012339451906828895,
                1.8925152694030803e-05,
                6.962256233269679e-06
            ],
            [
                NaN,
                NaN,
                5.1442219536690144e-05,
                7.484624426057797e-05,
                0.0028009266107483608,
                3.5356263289471766e-05,
                9.610242472012706e-05,
                NaN,
                NaN,
                3.120191816950771e-05
            ],
            [
                3.5356246419315886e-05,
                0.26894142722948733,
                0.00026119032896766925,
                2.4300252245746546e-05,
                4.00636775620137e-05,
                NaN,
                8.481102001155971e-05,
                5.829125755658715e-05,
                0.0001584362884747829,
                0.11920291263495984
            ],
            [
                NaN,
                3.12019110661544e-05,
                5.422221549482159e-06,
                1.6701423748618163e-05,
                1.6701427781154383e-05,
                1.892515724164839e-05,
                NaN,
                NaN,
                6.962253733664513e-06,
                NaN
            ],
            [
                NaN,
                2.7535687699737166e-05,
                1.0129994576039411e-05,
                NaN,
                NaN,
                8.481106081199853e-05,
                1.300712532392418e-05,
                5.144219460792505e-05,
                2.7535687562101542e-05,
                0.00013982204168922025
            ],
            [
                0.00020342694108918207,
                7.484624488625138e-05,
                NaN,
                NaN,
                5.829129303765185e-05,
                NaN,
                NaN,
                0.0001398221037708015,
                0.003172682693741658,
                NaN
            ],
            [
                4.006369679977145e-05,
                0.0002305067075729135,
                0.00012339455760486813,
                0.010986942903832238,
                6.605212046907203e-05,
                0.05340332697504391,
                0.00048785700944828814,
                5.144223794190091e-05,
                0.00013982202252726443,
                0.0002959570169586625
            ],
            [
                NaN,
                NaN,
                6.144176018184559e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                2.1444953481409255e-05,
                5.422218965676499e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00757724033641075,
                NaN,
                NaN,
                NaN,
                5.8291292591498395e-05
            ],
            [
                0.0002959570849247694,
                NaN,
                1.8925152714409812e-05,
                5.829129293162679e-05,
                5.14422133769194e-05,
                NaN,
                4.006369173309119e-05,
                0.0005527787549440787,
                NaN,
                2.4300249196950477e-05
            ],
            [
                6.605212715847709e-05,
                2.144495846201877e-05,
                8.48110710226008e-05,
                0.0052201269074554375,
                NaN,
                NaN,
                5.82912772170181e-05,
                NaN,
                0.0005527785094486471,
                9.610245860051148e-05
            ],
            [
                4.5397857526473556e-05,
                NaN,
                NaN,
                3.535625884125068e-05,
                NaN,
                NaN,
                2.430023192504354e-05,
                9.610239148858413e-05,
                4.785094487578763e-06,
                4.006369625351905e-05
            ],
            [
                7.484622649232664e-05,
                NaN,
                0.000626334277432785,
                2.7535681193800006e-05,
                NaN,
                NaN,
                1.6701415798381994e-05,
                9.61024140046487e-05,
                0.9993736658601443,
                NaN
            ],
            [
                2.1444940669853297e-05,
                3.120190354145981e-05,
                6.9622595602271066e-06,
                NaN,
                NaN,
                2.430024054207753e-05,
                8.939698425080008e-06,
                1.6701417792229172e-05,
                5.829124653931848e-05,
                NaN
            ],
            [
                4.006369685690351e-05,
                0.00023050679065355015,
                5.144222574736265e-05,
                NaN,
                0.00020342704320895082,
                8.481105935087304e-05,
                0.0001584362143077409,
                1.892514370627059e-05,
                NaN,
                0.0002959570235718596
            ],
            [
                1.1478765360377523e-05,
                NaN,
                NaN,
                NaN,
                1.89251526251828e-05,
                NaN,
                NaN,
                1.0129994576039411e-05,
                NaN,
                NaN
            ],
            [
                0.9992903296550574,
                0.32082130731838393,
                6.605213641888309e-05,
                0.053403329234868166,
                0.00029595711607913606,
                NaN,
                NaN,
                NaN,
                0.00012339454326496465,
                0.16451646699291617
            ],
            [
                8.481108038663982e-05,
                2.753568080773918e-05,
                0.0002034270151396237,
                2.7535687643040104e-05,
                5.829125149535031e-05,
                NaN,
                6.962257069029765e-06,
                0.00013982208666561016,
                0.00013982210670236459,
                4.539785186648924e-05
            ],
            [
                NaN,
                5.144222566240286e-05,
                0.0002611904107019562,
                0.0031726829625109156,
                9.610243554048215e-05,
                0.010986942286514374,
                NaN,
                1.3007133080840574e-05,
                1.8925150369447023e-05,
                NaN
            ],
            [
                0.014063625713147707,
                NaN,
                NaN,
                NaN,
                NaN,
                9.610241240914303e-05,
                NaN,
                0.0019267345988531277,
                0.10669060388702056,
                4.5397857128134296e-05
            ],
            [
                0.00020342696995168515,
                8.48110500979016e-05,
                7.484621772963434e-05,
                NaN,
                0.022977367861076722,
                NaN,
                2.753569422530948e-05,
                0.00037998457506687247,
                0.0013250222374385475,
                NaN
            ],
            [
                NaN,
                NaN,
                9.610244791299614e-05,
                NaN,
                1.47389784040925e-05,
                NaN,
                0.00023050676672267507,
                NaN,
                0.010986943440190413,
                0.000261190256383388
            ],
            [
                0.0005527785246916141,
                5.1442230864412426e-05,
                0.0009110513843935642,
                0.0006263341951269868,
                0.0003799845190521828,
                0.00012339452131613604,
                0.0010322310970166419,
                0.00012339452500389805,
                0.0008040860444077197,
                0.005911070175133498
            ],
            [
                4.2228319256762916e-06,
                0.06754669067036073,
                NaN,
                0.04742587587030561,
                0.9046505344582187,
                NaN,
                NaN,
                0.00026119030438279106,
                0.2450850131323717,
                0.00132502217766773
            ],
            [
                NaN,
                NaN,
                4.006369169636344e-05,
                0.00010889686817236375,
                0.0002611902700171631,
                0.037326885068457556,
                0.0001233945291818058,
                7.484624310180252e-05,
                2.43002434105332e-05,
                3.120192236659368e-05
            ],
            [
                NaN,
                1.3007125354586914e-05,
                1.4738981966291175e-05,
                3.535624631873447e-05,
                1.1478765369146918e-05,
                6.60521191946251e-05,
                7.88926066742835e-06,
                1.892514823013346e-05,
                3.5356254708665494e-05,
                1.147876811188006e-05
            ],
            [
                0.03308597719693549,
                0.0002611903330714822,
                NaN,
                0.00010889688209048466,
                0.0031726831429176906,
                0.9940889314857919,
                NaN,
                NaN,
                4.006370166357524e-05,
                NaN
            ],
            [
                0.00010889689417377277,
                4.539786270224181e-05,
                7.484626167488418e-05,
                0.0021827169331696743,
                NaN,
                0.00015843624731338426,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                8.481100707863177e-05,
                1.8925145922004893e-05,
                7.484619869261806e-05,
                5.144223793666109e-05,
                0.00026119020149871096,
                2.1444950917849213e-05,
                NaN,
                0.00017952798211949098,
                9.61023912396797e-05,
                0.0001233946170812828
            ],
            [
                7.484619808382568e-05,
                NaN,
                0.9820137863531805,
                0.2942149659744614,
                5.8291265048738174e-05,
                NaN,
                0.053403331871329895,
                0.9978172835216936,
                0.04742586997993961,
                0.00010889695856254161
            ],
            [
                0.0002305066787592921,
                0.000626334130127639,
                3.1201914834631824e-05,
                0.2689414272294874,
                NaN,
                0.00029595700291423007,
                0.24508501864634824,
                NaN,
                0.0004305570848317452,
                2.430023486280504e-05
            ],
            [
                9.610242504454196e-05,
                0.00048785721741175815,
                0.5926665999540698,
                0.00026119026446941724,
                NaN,
                0.0001795278959076098,
                9.610239829150582e-05,
                0.0002305066560692385,
                3.120190385315366e-05,
                NaN
            ],
            [
                0.020332351747275688,
                0.00017952796098835586,
                5.144220112549761e-05,
                0.6513548782017745,
                9.610243731497575e-05,
                0.03308598089141841,
                5.829129307666907e-05,
                NaN,
                0.0010322310514001226,
                6.605214308137835e-05
            ],
            [
                0.8519527963298947,
                6.605216759286958e-05,
                0.00029595698611429986,
                9.610242415519774e-05,
                NaN,
                NaN,
                0.0004305571754409696,
                0.0002611902397173529,
                0.00026119035080907456,
                5.829125126124714e-05
            ],
            [
                NaN,
                0.07585818733363134,
                9.610239044122789e-05,
                0.09534946811246837,
                0.5621765008857982,
                0.00023050662632333947,
                0.0,
                2.7535697436608052e-05,
                0.07585817897661679,
                NaN
            ],
            [
                1.1478763946082928e-05,
                1.3007123787759256e-05,
                NaN,
                2.2603248355311635e-06,
                2.144494835694198e-05,
                NaN,
                NaN,
                5.422218966071015e-06,
                NaN,
                5.422220904921299e-06
            ],
            [
                0.0001398220885555628,
                5.8291251531398806e-05,
                1.4738978447095178e-05,
                0.0024726235167076994,
                5.1442231690805525e-05,
                0.20181322706107538,
                NaN,
                0.0004305571206545769,
                5.14422193113783e-05,
                3.12019261368886e-05
            ]
        ]
    },
    {
        "q_id": "10751_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999991684717743,
                0.9999986290427931,
                0.9999987901343166,
                0.999999266179107,
                0.9999997897567091,
                0.9999998144608981,
                0.9999994284994849,
                0.9999996533672962,
                0.9999990577552939,
                0.9999995549149481
            ],
            [
                0.9999993524049703,
                0.9999994284992805,
                0.9999990577554062,
                0.9999993524051246,
                0.9999986290431201,
                0.999999495652712,
                0.9999992661792819,
                0.9999994956524114,
                0.9999987901338839,
                0.9999994284993485
            ],
            [
                3.2887494572873306e-06,
                1.3709570433885908e-06,
                6.962257079275089e-06,
                8.315281267834927e-07,
                1.209865683518615e-06,
                1.5534981249164537e-06,
                9.422447062270609e-07,
                2.2603234894745224e-06,
                1.9947301970451086e-06,
                3.7266379513162962e-06
            ],
            [
                0.9999994284994849,
                0.9999995549147358,
                0.9999995549149481,
                0.9999992661790196,
                0.9999996072138465,
                0.9999996940977731,
                0.9999996072138465,
                0.999999554914895,
                0.9999992661792819,
                0.9999996072139402
            ],
            [
                0.9999987901337396,
                0.999999554914842,
                0.9999996533674614,
                0.9999994284997574,
                0.9999993524053562,
                0.9999994284995529,
                0.9999990577555185,
                0.9999992661786696,
                0.9999990577549568,
                0.9999989322971301
            ],
            [
                0.9999991684715759,
                0.999999554914789,
                0.9999992661787571,
                0.9999987901341723,
                0.9999993524050474,
                0.9999993524052789,
                0.9999989322972573,
                0.9999991684716749,
                0.9999991684721706,
                0.9999995549147889
            ],
            [
                0.999999352405279,
                0.9999989322970028,
                0.9999991684722698,
                0.999997097686977,
                0.9999987901338839,
                0.9999987901341723,
                0.9999994956527121,
                0.9999996533672135,
                0.9999987901344608,
                0.9999910603068931
            ],
            [
                0.9999967112521108,
                0.9999898700126428,
                0.9999930377420908,
                0.9999921107355342,
                0.8807970826714614,
                0.9999921107336541,
                0.9999989322975118,
                0.999820472055577,
                0.9999869928730878,
                0.9999962733598277
            ],
            [
                0.9999991684719723,
                0.9999995549149481,
                0.9999990577551815,
                0.9999989322968755,
                0.999998446502801,
                0.9999992661790196,
                0.9999996072137061,
                0.9999977396762412,
                0.9999990577549568,
                0.9999991684717742
            ],
            [
                5.71500242637956e-07,
                1.0677033791437343e-06,
                7.338209805133949e-07,
                5.71500651413193e-07,
                4.450852111135988e-07,
                8.315280276580819e-07,
                5.715002426439334e-07,
                1.7603432132464244e-06,
                9.422444815563743e-07,
                8.315284241560147e-07
            ],
            [
                0.999999266179107,
                0.9999986290421394,
                0.9999986290427935,
                0.9999994284994168,
                0.999999554914789,
                0.999999168471675,
                0.999999266178932,
                0.9999990577550693,
                0.9999992661790196,
                0.9999994284996893
            ],
            [
                0.9999986290427935,
                0.999999554914789,
                0.999999266178757,
                0.9999992661792819,
                0.9999990577556308,
                0.9999991684718732,
                0.999999266178932,
                0.9999991684716751,
                0.9999989322973846,
                0.999999352405279
            ],
            [
                0.999999266178757,
                0.999998629042303,
                0.9999997300421903,
                0.9999998144608981,
                0.9999997617631468,
                0.999999266178932,
                0.9999984465015047,
                0.9999996533672135,
                0.9999984465026159,
                0.999999266179107
            ],
            [
                0.9999994956527121,
                0.9999989322975118,
                0.9999994284997573,
                0.9999993524053563,
                0.9999994956527121,
                0.999999554914895,
                0.9999996533674201,
                0.999998629042303,
                0.9999994284994167,
                0.9999987901343165
            ],
            [
                0.9999993524053562,
                0.9999989322970028,
                0.999998790134605,
                0.9999993524053562,
                0.9999987901344608,
                0.9999994284992805,
                0.999998932296621,
                0.9999994956526519,
                0.9999990577549569,
                0.9999994956524115
            ],
            [
                0.9999995549150541,
                0.9999990577551815,
                0.9999986290424663,
                0.9999984465020603,
                0.9999982396561573,
                0.9999986290421395,
                0.999998790134605,
                0.9999989322968754,
                0.9999991684717741,
                0.9999970976890528
            ],
            [
                0.9999984465020604,
                0.999997097689053,
                0.999999352404893,
                0.999997097686977,
                0.9999974387165681,
                0.9999989322973846,
                0.999996711251719,
                0.999998446502801,
                0.9999974387184001,
                0.9999990577550691
            ],
            [
                0.9999996533674202,
                0.999998239656367,
                0.9999994284996891,
                0.9999991684721706,
                0.9999987901338838,
                0.9999994956524114,
                0.9999984465026159,
                0.9999993524049702,
                0.9999994956526519,
                0.9999982396574163
            ],
            [
                0.9999995549147889,
                0.9999994284997574,
                0.9999994284996891,
                0.9999996072138934,
                0.9999996533672962,
                0.9999986290429567,
                0.9999989322972573,
                0.9999994284993485,
                0.9999995549148419,
                0.9999996072136592
            ],
            [
                0.999999057755743,
                0.9999992661787571,
                0.9999982396567868,
                0.999999730042126,
                0.9999989322973846,
                0.9999993524054334,
                0.9999994956523514,
                0.9999994284997573,
                0.9999994284995529,
                0.9999996072137529
            ],
            [
                0.9999970976883612,
                0.9999993524054334,
                0.9999987901341723,
                0.9999993524050473,
                0.9999986290427932,
                0.9999991684716749,
                0.9999992661786695,
                0.9999989322966208,
                0.9999994956527721,
                0.9999990577557432
            ],
            [
                0.9999994956527721,
                0.9999994956525918,
                0.9999994284996891,
                0.9999994284997573,
                0.9999992661792819,
                0.9999994284996211,
                0.9999992661790195,
                0.9999996072137529,
                0.9999990577556308,
                0.9999997617630049
            ],
            [
                0.9999993524053562,
                0.9999994284994167,
                0.999999168471675,
                0.9999994956527121,
                0.9999990577552939,
                0.9999993524054335,
                0.9999995549147359,
                0.9999996940976272,
                0.9999991684720715,
                0.9999996072137529
            ],
            [
                0.999999266178932,
                0.9999994284996891,
                0.999999057755743,
                0.9999994956524716,
                0.9999990577552937,
                0.999999057755743,
                0.9999998555020306,
                0.9999994956524716,
                0.9999996940976271,
                0.9999989322966208
            ],
            [
                0.9999987901344608,
                0.9999991684715758,
                0.9999993524052789,
                0.9999987901343165,
                0.9999996072137529,
                0.9999991684719723,
                0.9999996533675028,
                0.9999997897567091,
                0.9999996072137998,
                0.9999995549150542
            ],
            [
                0.9999990577557432,
                0.9999991684721707,
                0.9999993524053562,
                0.999999266179107,
                0.9999994284994167,
                0.9999990577551815,
                0.9999996533672549,
                0.9999998362623332,
                0.9999997897565838,
                0.9999994284993485
            ],
            [
                0.99999844650169,
                0.9999986290424664,
                0.9999997300422868,
                0.9999992661788445,
                0.9999990577556308,
                0.9999996072137998,
                0.9999987901341723,
                0.9999991684719723,
                0.9999994284996891,
                0.9999986290432835
            ],
            [
                0.9999994956526519,
                0.9999995549149481,
                0.9999997897567342,
                0.9999995549148419,
                0.9999991684719723,
                0.9999984465018752,
                0.999996273361605,
                0.9999998144608983,
                0.9999991684722697,
                0.9999977396757024
            ],
            [
                0.9999987901337396,
                0.9999986290429568,
                0.9999993524050474,
                0.9999994284994848,
                0.9999993524051246,
                0.9999980052709921,
                0.9999994284992804,
                0.9999993524052789,
                0.9999991684721706,
                0.9999986290429567
            ],
            [
                0.9999990577556308,
                0.9999995549147889,
                0.9999997617631752,
                0.9999995549149481,
                0.9999992661790195,
                0.9999990577556308,
                0.9999992661790195,
                0.9999993524049703,
                0.9999995549149481,
                0.999999266178932
            ],
            [
                0.9999994956525317,
                0.9999992661792819,
                0.9999987901338838,
                0.9999994284992805,
                0.999999168471675,
                0.9999991684717741,
                0.9999962733620492,
                0.9999990577556307,
                0.99999893229713,
                0.9999991684717741
            ],
            [
                0.9999987901343165,
                0.9999994956525918,
                0.9999991684719723,
                0.9999994284996211,
                0.999999168471675,
                0.9999994284996891,
                0.9999989322968754,
                0.9999990577555185,
                0.9999990577549568,
                0.9999992661791071
            ],
            [
                0.9999991684721706,
                0.9999982396565771,
                0.9999991684721706,
                0.9999994956525317,
                0.999999352404893,
                0.999999554914789,
                0.9999982396572066,
                0.999999266179282,
                0.9999995549151073,
                0.99999893229713
            ],
            [
                0.9999994284994849,
                0.9999996072136592,
                0.999999554914895,
                0.9999996533675028,
                0.9999996940978825,
                0.9999994284994848,
                0.9999995549150011,
                0.9999994284992804,
                0.9999996072137998,
                0.9999994284995529
            ],
            [
                0.999999554914895,
                0.9999990577552937,
                0.9999990577550691,
                0.9999991684722698,
                0.9999993524054335,
                0.9999994956525317,
                0.9999997897565587,
                0.9999997300421903,
                0.9999996533674201,
                0.9999994956525317
            ],
            [
                0.9999996072139402,
                0.9999991684720715,
                0.9999986290427932,
                0.9999992661791944,
                0.9999991684722698,
                0.9999991684718732,
                0.9999995549147889,
                0.9999974387165681,
                0.9999989322975118,
                0.9999986290427931
            ],
            [
                0.999998932296621,
                0.9999998724809875,
                0.9999995549150542,
                0.9999996072138465,
                0.9999995549151073,
                0.9999998144609202,
                0.9999991684719723,
                0.9999992661786696,
                0.9999986290427932,
                0.9999991684718732
            ],
            [
                0.9999995549151073,
                0.9999991684715759,
                0.9999997617630899,
                0.9999991684717741,
                0.9999996072137998,
                0.9999995549148419,
                0.9999996072139402,
                0.9999996533675028,
                0.9999994284996891,
                0.9999996533673375
            ],
            [
                0.9999994956527121,
                0.9999994956524114,
                0.9999993524049703,
                0.9999996072136125,
                0.9999991684720715,
                0.9999990577554061,
                0.9999996072138934,
                0.9999992661788445,
                0.999999730042126,
                0.9999993524050474
            ],
            [
                0.9999986290424664,
                0.9999970976869773,
                0.9999996072138934,
                0.9999994284993485,
                0.9999995549147889,
                0.9999994956525317,
                0.9999980052695653,
                0.9999996940978095,
                0.9999994284996211,
                0.9999994284992805
            ],
            [
                0.9999989322970027,
                0.9999989322966208,
                0.99999844650169,
                0.9999990577549568,
                0.9999993524054334,
                0.9999994956526519,
                0.9999995549147359,
                0.9999994284995529,
                0.9999992661791944,
                0.9999996072137529
            ],
            [
                0.9999994956523512,
                0.9999992661791071,
                0.9999993524050474,
                0.9999997300422868,
                0.9999997897565587,
                0.9999993524051246,
                0.9999994284996891,
                0.9999986290432836,
                0.9999994956527121,
                0.9999984465024307
            ],
            [
                0.9999989322972572,
                0.9999992661791944,
                0.9999996072137061,
                0.9999993524052789,
                0.9999994284996212,
                0.9999982396565769,
                0.9999993524049703,
                0.9999990577556308,
                0.9999996072137998,
                0.9999993524050474
            ],
            [
                0.9999993524051246,
                0.9999994956524716,
                0.9999996533673375,
                0.9999992661787571,
                0.9999996940978095,
                0.999999554914895,
                0.9999987901343166,
                0.9999994284993486,
                0.9999992661787571,
                0.9999977396762412
            ],
            [
                0.9999945777803843,
                0.9999967112513267,
                0.9999962733616046,
                0.9999987901343165,
                0.999998629042303,
                0.999998005269803,
                0.9999945777829696,
                0.9999938558224686,
                0.9999967112501505,
                0.9999952149055055
            ],
            [
                0.9999998144608097,
                0.9999994956524716,
                0.9999991684718733,
                0.9999994284996211,
                0.9999991684718733,
                0.9999987901347492,
                0.9999991684718733,
                0.999999352404893,
                0.9999980052693275,
                0.9999990577549568
            ],
            [
                0.9999984465015048,
                0.99999844650169,
                0.9999994284992805,
                0.9999987901343166,
                0.9999984465024306,
                0.9999980052707541,
                0.9999984465026158,
                0.999999266179107,
                0.9999987901344607,
                0.9999995549150542
            ],
            [
                0.9999989322970028,
                0.9999997897567091,
                0.999999266178757,
                0.9999993524054335,
                0.999999352405279,
                0.9999993524053563,
                0.9999989322972572,
                0.9999990577549568,
                0.9999992661788446,
                0.999999428499553
            ],
            [
                0.9999885212359807,
                0.9999930377412607,
                0.9999962733602719,
                0.9999980052705163,
                0.9999967112509347,
                0.999992110735535,
                0.999993855825399,
                0.9999967112521109,
                0.9999952149060765,
                0.999995214905506
            ],
            [
                6.475951069985296e-07,
                2.902312677104321e-06,
                7.338207180838067e-07,
                8.3152792852928e-07,
                1.5534983101393749e-06,
                7.338210680002898e-07,
                3.059022998569248e-07,
                7.338213304343413e-07,
                8.315280276580819e-07,
                1.5534979397592542e-06
            ],
            [
                0.9999995549148419,
                0.9999994284994848,
                0.9999986290426297,
                0.9999995549149481,
                0.9999990577549569,
                0.9999992661788446,
                0.9999974387184002,
                0.9999992661787571,
                0.9999987901347492,
                0.9999974387165681
            ],
            [
                0.9999987901338838,
                0.9999989322970029,
                0.9999997300421581,
                0.9999998144608317,
                0.9999990577550693,
                0.9999997300421903,
                0.9999994956527722,
                0.9999991684722698,
                0.9999992661788445,
                0.9999987901344609
            ],
            [
                0.9999994284996891,
                0.9999994284992805,
                0.9999996533672549,
                0.9999977396757022,
                0.9999987901340281,
                0.9999994956524716,
                0.9999996533673788,
                0.9999986290432835,
                0.9999993524054335,
                0.9999993524054334
            ],
            [
                0.9999974387177895,
                0.9999996072137998,
                0.9999991684720715,
                0.999999352404893,
                0.9999994956527721,
                0.9999989322967482,
                0.9999997897566089,
                0.9999997617630899,
                0.9999996533674201,
                0.9999996072137529
            ],
            [
                0.9999994284994167,
                0.9999995549147359,
                0.999999266179107,
                0.999998239656367,
                0.9999992661787571,
                0.9999994284992805,
                0.999999554914842,
                0.9999962733611607,
                0.9999974387180947,
                0.999999352404893
            ],
            [
                0.9999996940977002,
                0.9999993524054335,
                0.9999989322966208,
                0.9999992661790195,
                0.9999986290426297,
                0.9999994284996211,
                0.999999554914895,
                0.9999991684718732,
                0.9999996940978095,
                0.9999994284992805
            ],
            [
                0.9999994956527721,
                0.9999992661791071,
                0.9999994284996211,
                0.9999994284992804,
                0.9999993524052018,
                0.9999991684719723,
                0.9999987901346049,
                0.9999990577552939,
                0.9999991684715758,
                0.9999994284993485
            ],
            [
                0.9999992661790195,
                0.9999990577555185,
                0.9999987901340281,
                0.9999992661786696,
                0.9999990577555185,
                0.9999994284994848,
                0.9999996072137061,
                0.9999986290432836,
                0.9999996072138465,
                0.9999991684717742
            ],
            [
                0.9999995549149481,
                0.999999730042319,
                0.999999653367379,
                0.9999991684715758,
                0.9999977396754328,
                0.9999994956524114,
                0.9999992661788445,
                0.9999986290421395,
                0.999998790134605,
                0.9999992661790195
            ],
            [
                0.9999990577551815,
                0.9999994956525317,
                0.9999996072137529,
                0.9999996533672962,
                0.9999996533673375,
                0.9999994284995529,
                0.9999994284997573,
                0.9999995549147358,
                0.9999992661791944,
                0.999999352405279
            ],
            [
                0.9999989322972572,
                0.9999994956523514,
                0.9999994284997574,
                0.9999994284993485,
                0.9999996072139402,
                0.9999992661792819,
                0.9999995549151073,
                0.9999962733611607,
                0.9999993524051246,
                0.9999993524049703
            ],
            [
                0.9999993524054335,
                0.9999989322972573,
                0.9999992661788445,
                0.9999997617630617,
                0.999999554914842,
                0.9999990577549569,
                0.9999986290421394,
                0.9999991684721706,
                0.9999995549150542,
                0.9999994956527121
            ],
            [
                0.9999995549150011,
                0.9999996072138465,
                0.9999993524052018,
                0.9999994956524114,
                0.9999993524049703,
                0.999999694097846,
                0.9999992661791944,
                0.9999994956525918,
                0.9999994956527121,
                0.9999995549148419
            ],
            [
                0.9999990577557432,
                0.9999989322968754,
                0.9999993524049703,
                0.9999996940978095,
                0.9999990577550691,
                0.9999986290421395,
                0.9999994956525317,
                0.9999993524053562,
                0.9999994284993485,
                0.9999991684721707
            ],
            [
                0.9999994956524716,
                0.9999996072139402,
                0.9999992661786695,
                0.999999168471675,
                0.9999991684719725,
                0.9999989322971301,
                0.9999984465024306,
                0.9999990577552937,
                0.9999993524054334,
                0.9999990577552939
            ],
            [
                0.9999990577557432,
                0.9999994284996211,
                0.9999991684718733,
                0.999999168471675,
                0.9999987901346049,
                0.9999994956524715,
                0.9999990577551815,
                0.9999994956523514,
                0.9999994956524114,
                0.9999991684715759
            ],
            [
                0.9999756997621669,
                0.9999885212346117,
                0.9999921107345933,
                0.9999967112509347,
                0.999991060304767,
                0.9999339478790461,
                0.9740426441679385,
                0.9998766054401562,
                0.9999938558261307,
                0.9999930377429204
            ],
            [
                0.99999893229713,
                0.9999994956525918,
                0.9999974387187054,
                0.9999994956524115,
                0.9999997300421903,
                0.9999992661787571,
                0.9999995549147889,
                0.9999994956526519,
                0.9999990577549569,
                0.9999994956525917
            ],
            [
                0.9999970976866313,
                0.9999997617629764,
                0.9999994284994848,
                0.9999996072136592,
                0.999999789756684,
                0.9999993524050473,
                0.9999994284993485,
                0.9999990577550693,
                0.9999993524054335,
                0.9999996940978095
            ],
            [
                0.9999986290424663,
                0.9999989322975118,
                0.9999992661790196,
                0.999999554914842,
                0.9999993524052019,
                0.9999990577550693,
                0.9999992661790195,
                0.9999993524051246,
                0.9999986290429568,
                0.9999994956523514
            ],
            [
                0.9999994284994167,
                0.999999789756684,
                0.9999995549151073,
                0.9999994956525318,
                0.999999168471675,
                0.999999266178757,
                0.9999996533672549,
                0.9999994284995529,
                0.9999967112521111,
                0.9999991684715759
            ],
            [
                0.9999994956524114,
                0.9999996072137998,
                0.9999991684715758,
                0.9999990577554061,
                0.999999266178932,
                0.9999997300422547,
                0.9999996072137061,
                0.999999168471675,
                0.9999994284997573,
                0.9999993524054334
            ],
            [
                0.9999992661788446,
                0.9999994956524115,
                0.999999352405279,
                0.9999994284994167,
                0.9999994956524716,
                0.9999994284994168,
                0.9999994284997574,
                0.9999996072138465,
                0.9999997617630049,
                0.9999989322967481
            ],
            [
                0.999999352404893,
                0.9999990577551815,
                0.9999987901341724,
                0.9999987901346049,
                0.9999996072137061,
                0.9999994284996891,
                0.9999994284996211,
                0.9999990577551815,
                0.9999996072137061,
                0.9999989322967482
            ],
            [
                0.9999996072136125,
                0.9999994956525317,
                0.9999996940978095,
                0.9999991684718733,
                0.999998932296621,
                0.9999994956526519,
                0.9999994284996211,
                0.9999992661792819,
                0.9999993524052019,
                0.9999994956525918
            ],
            [
                0.9999990577551815,
                0.9999991684718733,
                0.9999982396563671,
                0.9999989322975118,
                0.9999991684719723,
                0.9999989322966208,
                0.9999977396751634,
                0.9999994284994167,
                0.9999987901338839,
                0.9999970976873231
            ],
            [
                0.9999984465022456,
                0.9999994956524716,
                0.9999991684719723,
                0.999999352405279,
                0.9999993524050474,
                0.9999982396563671,
                0.999999168471675,
                0.9999982396561573,
                0.9999980052702787,
                0.9999995549147889
            ],
            [
                0.9999974387187055,
                0.9999987901343165,
                0.9999982396569966,
                0.9999992661788446,
                0.9999987901338839,
                0.9999986290421394,
                0.9999990577552939,
                0.9999991684722698,
                0.9999987901337396,
                0.9999987901338838
            ],
            [
                0.9999992661786696,
                0.9999997617630616,
                0.999998932296621,
                0.9999991684715759,
                0.9999992661786695,
                0.9999992661787571,
                0.9999993524053562,
                0.999999168471675,
                0.9999994284994167,
                0.9999993524051246
            ],
            [
                0.9999986290426297,
                0.9999996072138934,
                0.9999997300422868,
                0.9999982396574163,
                0.9999991684717742,
                0.9999998144609644,
                0.999999428499553,
                0.9999990577552937,
                0.9999992661788445,
                0.9999993524051246
            ],
            [
                0.9999994284993485,
                0.9999997300421581,
                0.9999992661791944,
                0.9999991684715759,
                0.9999989322971301,
                0.9999994956524716,
                0.9999989322968754,
                0.9999987901344607,
                0.9999993524052789,
                0.9999990577552939
            ],
            [
                0.9999995549150011,
                0.999999168471675,
                0.9999994956525918,
                0.999999352405279,
                0.9999992661790195,
                0.9999986290421394,
                0.9999994956527721,
                0.9999987901343166,
                0.9999987901344608,
                0.999998932296621
            ],
            [
                0.9999996940976636,
                0.9999986290429567,
                0.999999789756634,
                0.999999352404893,
                0.9999990577552937,
                0.9999994284996211,
                0.9999991684718733,
                0.9999994284994849,
                0.9999994284996211,
                0.9999993524052018
            ],
            [
                0.9999980052702789,
                0.999999168471675,
                0.9999990577554061,
                0.9999982396559474,
                0.9999989322970028,
                0.9999984465018751,
                0.9999994284994848,
                0.999999266178932,
                0.9999994284996212,
                0.9999989322973846
            ],
            [
                0.999998932296621,
                0.9999996940976636,
                0.9999996072136125,
                0.9999995549150542,
                0.9999996072138934,
                0.9999993524051246,
                0.9999994956524114,
                0.9999991684718733,
                0.9999994284992805,
                0.9999994284993485
            ],
            [
                0.9999599362982876,
                0.9999646437493199,
                0.9998911031297709,
                0.9999930377454105,
                0.9999756997650652,
                0.999986992869988,
                0.9999599363126119,
                0.9999852610233051,
                0.9999832985741811,
                0.999988521229138
            ],
            [
                0.9999994284997573,
                0.999999352405279,
                0.9999997300422547,
                0.9999993524050474,
                0.999999352404893,
                0.999999266179107,
                0.999997739674894,
                0.999999057754957,
                0.9999996072137529,
                0.999998005270992
            ],
            [
                0.9999990577551815,
                0.999999554914895,
                0.9999994284996893,
                0.9999995549150011,
                0.999999352404893,
                0.9999986290432835,
                0.9999987901337396,
                0.9999986290424663,
                0.9999994284996891,
                0.9999992661792819
            ],
            [
                0.9999996072136592,
                0.9999994956526519,
                0.9999994956527721,
                0.9999992661790196,
                0.9999992661791071,
                0.999999266179107,
                0.9999996072138934,
                0.9999994284996893,
                0.9999995549149481,
                0.999999352405279
            ],
            [
                0.9999986290431201,
                0.9999989322970027,
                0.9999993524052019,
                0.9999992661790195,
                0.9999996533674614,
                0.9999991684722698,
                0.999998005270992,
                0.9999986290427931,
                0.9999989322967482,
                0.9999990577554061
            ],
            [
                0.9999993524050474,
                0.9999994284996211,
                0.9999991684719723,
                0.9999994956525917,
                0.9999992661790195,
                0.9999993524052018,
                0.9999994284996211,
                0.9999996533675028,
                0.9999999123574941,
                0.9999986290423029
            ],
            [
                0.999999266178932,
                0.9999998555019963,
                0.9999996072136593,
                0.9999984465020604,
                0.9999989322970027,
                0.9999990577554061,
                0.9999996940977001,
                0.9999992661792819,
                0.9999989322966208,
                0.99999893229713
            ],
            [
                0.9999997617630899,
                0.9999994956525918,
                0.9999994284996891,
                0.9999989322973845,
                0.9999996533674201,
                0.9999997300422225,
                0.9999995549147359,
                0.9999992661786696,
                0.9999994284994167,
                0.9999996533673788
            ],
            [
                0.9999991684720715,
                0.9999987901337397,
                0.9999989322972573,
                0.9999990577549569,
                0.9999990577556308,
                0.9999989322975118,
                0.9999980052709919,
                0.9999991684715759,
                0.9999980052705164,
                0.9999986290423031
            ],
            [
                0.99999844650169,
                0.9999987901343165,
                0.9999952149049374,
                0.999999266178932,
                0.9999984465026158,
                0.9999982396574163,
                0.9999989322975118,
                0.9999992661789321,
                0.9999989322972572,
                0.9999974387187053
            ],
            [
                0.9999990577554061,
                0.9999991684717742,
                0.9999993524050474,
                0.9999995549149481,
                0.999998790134605,
                0.999999352404893,
                0.9999990577552937,
                0.9999993524052789,
                0.9999990577549568,
                0.9999994284996211
            ],
            [
                0.9999993524054334,
                0.9999994956524716,
                0.9999994956524716,
                0.9999987901347491,
                0.9999993524052019,
                0.999999554914842,
                0.9999994956524114,
                0.999999352404893,
                0.9999990577556308,
                0.9999989322973845
            ],
            [
                0.9999997897565587,
                0.9999989322972573,
                0.99999976176309,
                0.9999994284996212,
                0.9999989322967481,
                0.9999994956525918,
                0.9999993524054335,
                0.999999495652712,
                0.9999991684715758,
                0.9999992661790195
            ],
            [
                0.9999993524049703,
                0.9999997897567091,
                0.9999995549148419,
                0.9999991684716749,
                0.9999986290429567,
                0.9999989322966208,
                0.9999996072138465,
                0.9999996940978825,
                0.9999990577549568,
                0.9999989322967482
            ],
            [
                5.043474683204221e-07,
                9.422444815679433e-07,
                9.422448184561605e-07,
                3.059022998558814e-07,
                7.338208930144969e-07,
                1.5534979397140412e-06,
                7.338211554591642e-07,
                3.059021539864825e-07,
                4.450852111100568e-07,
                9.422448185101494e-07
            ],
            [
                0.9999994284995529,
                0.9999991684719723,
                0.9999991684719723,
                0.9999994284994848,
                0.9999990577551815,
                0.9999984465022455,
                0.9999991684718732,
                0.999999653367379,
                0.9999990577551815,
                0.9999996940977002
            ],
            [
                0.9999995549151073,
                0.9999996533674201,
                0.9999982396569966,
                0.9999989322967482,
                0.9999974387174843,
                0.999999554914895,
                0.9999991684719723,
                0.999998932296621,
                0.999999352404893,
                0.9999990577556308
            ],
            [
                1.2098662604291696e-06,
                5.71500378896509e-07,
                1.2098661161927025e-06,
                1.0677028700266676e-06,
                9.422450431954847e-07,
                8.315283250260307e-07,
                1.0677024881941248e-06,
                5.043474683204221e-07,
                1.370956716519966e-06,
                2.902312677060767e-06
            ],
            [
                0.9999991684722697,
                0.9999994956525917,
                0.9999994956523514,
                0.9999980052695653,
                0.9999994284992805,
                0.999999168471675,
                0.9999995549150011,
                0.9999993524050474,
                0.999999352405279,
                0.9999996072136125
            ],
            [
                0.9999992661788445,
                0.9999984465022456,
                0.9999987901344607,
                0.9999986290424665,
                0.9999996533674615,
                0.9999989322975118,
                0.999999352405279,
                0.9999990577554062,
                0.9999991684722698,
                0.9999993524052018
            ],
            [
                0.9999994956526519,
                0.9999987901341724,
                0.9999982396559475,
                0.9999992661788445,
                0.9999997300422225,
                0.999999814460854,
                0.9999995549147358,
                0.9999996072137998,
                0.9999997300422869,
                0.9999997300421903
            ],
            [
                0.9999984465020608,
                0.9999993524054335,
                0.9999992661786695,
                0.9999997617631183,
                0.9999993524052789,
                0.999998932296621,
                0.9999997617630616,
                0.999999352404893,
                0.9999974387180947,
                0.9999989322971301
            ],
            [
                0.9999997617629764,
                0.9999992661792819,
                0.9999974387171789,
                0.9999996533674614,
                0.9999994956524115,
                0.9999994956525317,
                0.999998629042303,
                0.9999994956523514,
                0.9999994284996891,
                0.9999997617630049
            ],
            [
                0.9999996533672549,
                0.999999266179107,
                0.9999996940976636,
                0.9999998362622552,
                0.9999984465024307,
                0.999999495652712,
                0.9999995549151073,
                0.9999993524053562,
                0.9999996533675028,
                0.9999989322970028
            ],
            [
                0.9999992661792819,
                0.9999986290424665,
                0.9999998144608981,
                0.9999995549147358,
                0.999999266179107,
                0.999999495652712,
                0.9999995549149481,
                0.9999989322967482,
                0.999999266178932,
                0.9999994956524716
            ],
            [
                0.9999785550464806,
                0.999968798077472,
                0.9999724643187587,
                0.9999930377429205,
                0.999891103116832,
                0.999972464302337,
                0.9999898700041906,
                0.9999832985701939,
                0.9999810748495044,
                0.9999785550567016
            ],
            [
                0.9999992661788445,
                0.9999977396746247,
                0.9999982396561572,
                0.9999990577550691,
                0.9999986290426298,
                0.9999993524054335,
                0.999999266178757,
                0.9999984465022456,
                0.9999994956525317,
                0.9999992661786696
            ],
            [
                0.9999994284996891,
                0.9999997897566589,
                0.9999992661792819,
                0.9999987901341723,
                0.999999266178932,
                0.9999992661791071,
                0.9999992661789321,
                0.9999996072137998,
                0.9999994284997573,
                0.9999984465026158
            ],
            [
                0.999998446502801,
                0.9999980052693275,
                0.9999989322973846,
                0.9999995549147359,
                0.9999987901338839,
                0.9999989322973845,
                0.9999994284994849,
                0.9999996072136592,
                0.9999989322968754,
                0.9999989322968754
            ],
            [
                0.9999984465016899,
                0.9999980052700409,
                0.9999995549147889,
                0.9999996940978461,
                0.9999994956524716,
                0.9999996072137061,
                0.9999994956524114,
                0.9999994956523514,
                0.9999992661791944,
                0.9999997617630616
            ],
            [
                0.9999990577555185,
                0.9999990577550691,
                0.9999996533672135,
                0.9999986290421395,
                0.9999991684722698,
                0.999999352404893,
                0.9999977396759719,
                0.9999989322967482,
                0.9999989322972572,
                0.9999991684722697
            ],
            [
                0.9999994284996893,
                0.9999997300421903,
                0.9999990577554061,
                0.9999991684717742,
                0.9999991684715759,
                0.9999996940976636,
                0.9999986290431201,
                0.9999984465026158,
                0.9999987901337396,
                0.9999996072139402
            ],
            [
                0.9999987901343166,
                0.9999994956524716,
                0.9999994284995529,
                0.9999993524053563,
                0.9999994284994168,
                0.9999994284997573,
                0.9999992661788445,
                0.9999990577554061,
                0.9999994956524716,
                0.9999992661790195
            ],
            [
                0.9999984465020603,
                0.9999989322973846,
                0.9999991684721706,
                0.9999987901341723,
                0.999999266178932,
                0.9999994956524716,
                0.9999986290421395,
                0.9999986290427932,
                0.9999991684718732,
                0.9999994284993485
            ],
            [
                0.9999986290424664,
                0.9999869928761908,
                0.9999984465024306,
                0.9999990577555185,
                0.999995777165549,
                0.9999921107392978,
                0.9999957771650455,
                0.9999977396746245,
                0.9999984465020603,
                0.999993037742922
            ],
            [
                0.9999994956523514,
                0.9999996533673375,
                0.9999996940977002,
                0.9999994956524114,
                0.9999992661792819,
                0.9999996940977731,
                0.9999994284996211,
                0.9999987901337396,
                0.99999893229713,
                0.9999994284994849
            ],
            [
                0.999999495652712,
                0.999999266179107,
                0.9999996533674201,
                0.9999984465016899,
                0.9999986290431201,
                0.9999986290421395,
                0.9999996072138934,
                0.999998932296621,
                0.999999495652712,
                0.9999980052698032
            ],
            [
                0.9999994284993485,
                0.9999991684717742,
                0.9999986290421394,
                0.9999990577551815,
                0.9999996072137061,
                0.999999428499553,
                0.9999994284993485,
                0.9999996533673788,
                0.9999994956527721,
                0.9999996940977002
            ],
            [
                0.99999976176309,
                0.9999990577554062,
                0.9999992661792819,
                0.999999266179107,
                0.9999996940977002,
                0.9999996072138466,
                0.9999990577556308,
                0.9999990577550691,
                0.9999996072136592,
                0.9999987901340281
            ],
            [
                0.9999996533672548,
                0.9999977396751636,
                0.9999996533673376,
                0.9999994284994849,
                0.9999994284993485,
                0.9999991684722698,
                0.9999991684718733,
                0.9999990577551814,
                0.9999991684718732,
                0.9999990577550691
            ],
            [
                0.9999993524053563,
                0.9999994956523514,
                0.9999994284996891,
                0.9999991684717741,
                0.9999994956527721,
                0.999999168471675,
                0.9999994284995529,
                0.999999352404893,
                0.9999992661787571,
                0.9999984465018751
            ],
            [
                0.9999993524049703,
                0.9999997617630049,
                0.999999495652652,
                0.9999980052707542,
                0.999999168471675,
                0.999998629042303,
                0.9999991684715759,
                0.9999986290426298,
                0.9999989322973847,
                0.9999989322967482
            ]
        ]
    },
    {
        "q_id": "10759_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.999999730042126,
                0.9999996072137061,
                0.9999996072137998,
                0.9999998144608097,
                0.9999997897565838,
                0.9999997617630332,
                0.9999997300421903,
                0.9999997300422547,
                0.9999998144608983,
                0.9999997300422225
            ],
            [
                0.9999997617631184,
                0.9999995549147889,
                0.9999997300423191,
                0.9999996940978095,
                0.999999653367379,
                0.9999992661791944,
                0.9999998144609202,
                0.9999997897565838,
                0.999999428499553,
                0.9999996940976636
            ],
            [
                0.9999995549151073,
                0.9999996533674202,
                0.9999997897566589,
                0.9999997300422225,
                0.9999996072137998,
                0.9999991684717742,
                0.9999997617631183,
                0.999999814460876,
                0.9999997897565587,
                0.9999996072137529
            ],
            [
                0.9999996533674202,
                0.9999994956523514,
                0.9999997617630049,
                0.9999994284996893,
                0.999999554915001,
                0.9999993524051246,
                0.999999554914895,
                0.9999996072137998,
                0.9999994956527121,
                0.9999995549149481
            ],
            [
                0.9999994956525918,
                0.9999994956525317,
                0.9999984465026158,
                0.9999997617631468,
                0.9999997617630616,
                0.9999997300423191,
                0.9999996533673788,
                0.9999996940977731,
                0.9999997617629764,
                0.9999997617631183
            ],
            [
                0.9999994956525317,
                0.9999995549147889,
                0.9999994956524114,
                0.999999554914895,
                0.9999994956525918,
                0.9999996940977001,
                0.999999554914895,
                0.9999995549151072,
                0.9999996940976272,
                0.9999990577555185
            ],
            [
                0.9999997897567342,
                0.999999789756634,
                0.9999997617631753,
                0.9999996072137998,
                0.9999997300423191,
                0.999999887464811,
                0.9999995549149481,
                0.9999994956524716,
                0.9999996533673375,
                0.9999993524050474
            ],
            [
                0.999999730042319,
                0.9999996072136593,
                0.9999996940976272,
                0.9999997617631469,
                0.9999997300422869,
                0.9999994284994849,
                0.9999994284997573,
                0.9999996072138466,
                0.9999996072137529,
                0.999999789756634
            ],
            [
                0.9999996533674615,
                0.9999997300421261,
                0.9999994956525918,
                0.9999982396561573,
                0.999999653367379,
                0.9999996533674615,
                0.9999993524054334,
                0.9999994956526519,
                0.999999694097846,
                0.9999997300422225
            ],
            [
                0.999999730042126,
                0.9999997897566089,
                0.999999789756634,
                0.9999994956525317,
                0.9999996940978461,
                0.9999997617630616,
                0.9999997300422547,
                0.9999996940977366,
                0.9999997300423191,
                0.9999996072137529
            ],
            [
                0.9999980052702786,
                0.9999989322972572,
                0.9999987901344607,
                0.9999987901344608,
                0.9999980052698031,
                0.999997438717484,
                0.9999990577556308,
                0.9999987901338838,
                0.9999986290421395,
                0.9999987901341723
            ],
            [
                0.9999993524054335,
                0.999999495652652,
                0.9999994284996211,
                0.9999997300422869,
                0.9999994956524715,
                0.9999996072136592,
                0.9999996940976636,
                0.9999991684718733,
                0.9999995549147358,
                0.9999997617631753
            ],
            [
                0.999999266178757,
                0.9999996072138466,
                0.9999997617630048,
                0.9999996940977002,
                0.9999996940978825,
                0.9999996072138466,
                0.9999996533672549,
                0.9999994284994849,
                0.9999996940976636,
                0.9999996940976636
            ],
            [
                0.999999789756684,
                0.9999996533672136,
                0.9999994956527121,
                0.9999990577552939,
                0.999999694097846,
                0.9999994284996211,
                0.999999554914895,
                0.9999997897565838,
                0.9999994284994167,
                0.9999996533675028
            ],
            [
                0.9999996533672135,
                0.9999997300422547,
                0.9999994284994167,
                0.9999994284996211,
                0.9999996940978461,
                0.9999997617630616,
                0.999999554914895,
                0.9999996072138934,
                0.9999996940978095,
                0.9999996533672549
            ],
            [
                0.9999993524050474,
                0.9999993524054335,
                0.9999996072137998,
                0.9999995549150011,
                0.9999995549151073,
                0.9999995549151072,
                0.999999694097846,
                0.9999995549148419,
                0.999999352405279,
                0.9999997300422869
            ],
            [
                0.9999994284996211,
                0.9999996533672962,
                0.9999993524053563,
                0.9999994284994849,
                0.9999994956525918,
                0.999999653367379,
                0.9999995549150013,
                0.9999992661786695,
                0.9999995549147889,
                0.9999996072137061
            ],
            [
                0.9999997897565838,
                0.9999995549151072,
                0.9999996940976636,
                0.999999789756634,
                0.9999996072136593,
                0.9999990577554061,
                0.9999997300422547,
                0.99999976176309,
                0.9999997300420937,
                0.9999996533674201
            ],
            [
                0.9999996940978095,
                0.9999997300420939,
                0.9999992661791071,
                0.9999997300423191,
                0.9999993524052019,
                0.9999995549149481,
                0.9999995549149481,
                0.9999993524051246,
                0.9999995549147359,
                0.999999653367379
            ],
            [
                0.9999995549150542,
                0.9999994284997573,
                0.9999994284994167,
                0.9999996533674614,
                0.9999994956523514,
                0.9999997300423191,
                0.9999994956524716,
                0.9999996940976636,
                0.999999554914895,
                0.9999994956527721
            ],
            [
                0.9999994956527721,
                0.9999996072139402,
                0.9999980052693275,
                0.9999994956527722,
                0.9999990577549569,
                0.9999991684720716,
                0.9999994284996893,
                0.999999352405279,
                0.9999990577549569,
                0.9999993524048931
            ],
            [
                0.9999994284996211,
                0.9999996940978825,
                0.9999997300423191,
                0.999999694097846,
                0.999999495652652,
                0.999999428499553,
                0.9999996940977731,
                0.9999996940977002,
                0.9999996072136125,
                0.9999991684715759
            ],
            [
                0.9999990577549569,
                0.999998932297003,
                0.9999996940976272,
                0.9999996072137998,
                0.999999168471675,
                0.9999996533672136,
                0.999999352404893,
                0.9999996533674202,
                0.9999995549147358,
                0.999999266178932
            ],
            [
                0.9999987901347492,
                0.9999990577550691,
                0.9999989322966208,
                0.9999992661790195,
                0.9999990577550691,
                0.9999994956524115,
                0.9999984465015048,
                0.9999996072139402,
                0.9999996072138466,
                0.9999996940978095
            ],
            [
                0.9999996533672962,
                0.9999996940977731,
                0.9999996533674615,
                0.999999887464811,
                0.9999997300422869,
                0.9999997617630616,
                0.9999997897565587,
                0.9999997897565587,
                0.9999996940978825,
                0.9999996533674615
            ],
            [
                0.9999997617631468,
                0.9999998144608319,
                0.9999997897567342,
                0.9999998362623137,
                0.9999996940976271,
                0.9999998724809874,
                0.9999997617629764,
                0.9999996072138466,
                0.9999995549149481,
                0.999999789756634
            ],
            [
                0.9999994284994849,
                0.9999993524049703,
                0.9999992661786696,
                0.99999976176309,
                0.999999694097846,
                0.9999996072138466,
                0.9999997300421581,
                0.9999994956524716,
                0.9999995549151073,
                0.9999996072137529
            ],
            [
                0.9999996940976271,
                0.9999995549147889,
                0.9999996940977001,
                0.9999994956525318,
                0.9999993524051246,
                0.9999994284996893,
                0.9999996072138465,
                0.9999994956523514,
                0.999999352404893,
                0.9999994956525317
            ],
            [
                0.9999995549150541,
                0.9999996533672962,
                0.9999995549147889,
                0.9999995549149481,
                0.9999996533672135,
                0.9999994284994168,
                0.9999995549151072,
                0.9999995549147358,
                0.9999996940977731,
                0.9999996533672548
            ],
            [
                0.9999998874649318,
                0.9999997300420939,
                0.9999997300421903,
                0.9999994284997574,
                0.9999997300422225,
                0.9999997617631468,
                0.9999996072136593,
                0.9999997300423191,
                0.9999996940977731,
                0.9999994284994168
            ],
            [
                0.9999992661791071,
                0.9999994956525317,
                0.9999997897566089,
                0.9999998362623528,
                0.999999789756684,
                0.9999997617629764,
                0.9999997897565587,
                0.9999995549147889,
                0.99999976176309,
                0.999999653367503
            ],
            [
                0.9999994284992805,
                0.9999996940976638,
                0.9999989322968754,
                0.9999996940978461,
                0.9999994956524114,
                0.9999995549150011,
                0.9999995549147358,
                0.9999994956526519,
                0.9999996072138465,
                0.9999994956525918
            ],
            [
                0.9999996533675028,
                0.9999996533675028,
                0.9999996533672962,
                0.9999996072137529,
                0.9999996072137998,
                0.9999997617630332,
                0.999999554914842,
                0.9999996072136125,
                0.9999992661791944,
                0.9999994956523514
            ],
            [
                0.9999994956523514,
                0.9999997897566089,
                0.9999986290431202,
                0.9999997300421904,
                0.9999996940978095,
                0.9999996072136592,
                0.9999989322973846,
                0.9999994956527722,
                0.9999996072137061,
                0.9999994956525918
            ],
            [
                0.999999352404893,
                0.9999996072138466,
                0.9999997300420937,
                0.9999994956527121,
                0.9999995549150011,
                0.9999997617631468,
                0.9999996072137529,
                0.9999995549150013,
                0.9999990577551815,
                0.9999994956526519
            ],
            [
                0.9999994956525918,
                0.9999993524054334,
                0.9999993524050473,
                0.999999352404893,
                0.9999994284994848,
                0.9999990577551815,
                0.9999991684719723,
                0.9999997300421903,
                0.9999995549150011,
                0.9999991684716751
            ],
            [
                0.9999996940977002,
                0.9999994956527721,
                0.9999995549150541,
                0.9999997300421903,
                0.9999995549147358,
                0.9999993524050474,
                0.9999994956524716,
                0.9999995549150542,
                0.9999993524050474,
                0.9999997617631752
            ],
            [
                0.999999168471675,
                0.9999996072137061,
                0.9999996940976272,
                0.999999554914895,
                0.9999997300422225,
                0.9999992661786696,
                0.9999996072137998,
                0.9999994956527721,
                0.9999996072137061,
                0.9999996533672135
            ],
            [
                0.9999990577557432,
                0.9999997617631184,
                0.9999996072137529,
                0.9999995549147358,
                0.9999992661791071,
                0.999999554914895,
                0.9999994284997574,
                0.9999992661788445,
                0.9999994956524716,
                0.9999994284997574
            ],
            [
                0.9999995549147889,
                0.9999996940977366,
                0.9999996533672962,
                0.9999997300422225,
                0.9999993524054335,
                0.999999694097846,
                0.9999996940976272,
                0.9999996072138934,
                0.9999996072136593,
                0.9999996072136125
            ],
            [
                0.9999994956523512,
                0.9999996940978825,
                0.9999993524051246,
                0.9999994284996893,
                0.999999814460854,
                0.9999996072136592,
                0.9999996533672549,
                0.9999996533672549,
                0.9999997300420939,
                0.999999554914895
            ],
            [
                0.9999997617631753,
                0.9999998555019618,
                0.999999814460854,
                0.9999996940976272,
                0.9999996940977002,
                0.9999997300420937,
                0.9999997617629763,
                0.9999997300420937,
                0.999999789756684,
                0.9999996533672549
            ],
            [
                0.9999996072137529,
                0.999999168471675,
                0.9999996940978825,
                0.9999998144608319,
                0.9999996533672136,
                0.9999995549148419,
                0.9999994956527121,
                0.9999994284996893,
                0.9999995549149481,
                0.9999992661786696
            ],
            [
                0.9999996940976636,
                0.9999996940976638,
                0.9999996533673375,
                0.999999653367379,
                0.999999789756634,
                0.9999996533674202,
                0.9999994284994848,
                0.9999997897567091,
                0.9999998144608097,
                0.9999998144608098
            ],
            [
                0.9999995549149481,
                0.9999994284993485,
                0.999999814460854,
                0.9999996533673375,
                0.9999993524054335,
                0.9999995549148419,
                0.999999730042319,
                0.9999994956527722,
                0.9999996940976271,
                0.999999653367503
            ],
            [
                0.9999995549148419,
                0.9999994284996211,
                0.9999994956524716,
                0.9999995549150011,
                0.9999996072138934,
                0.9999994956527722,
                0.999999653367379,
                0.9999996072136125,
                0.9999995549151072,
                0.9999996072137529
            ],
            [
                0.999999495652652,
                0.9999997300421581,
                0.9999994956525918,
                0.9999996940978095,
                0.9999995549150542,
                0.9999996940978095,
                0.9999996940978825,
                0.9999996533675028,
                0.999999730042319,
                0.9999996072137998
            ],
            [
                0.9999996072137061,
                0.9999997300420939,
                0.9999997300423191,
                0.9999996533675028,
                0.9999997300422869,
                0.9999997897566589,
                0.9999996533674614,
                0.99999976176309,
                0.9999996533673788,
                0.9999996533673375
            ],
            [
                0.9999994284994167,
                0.9999996533672962,
                0.9999994284996211,
                0.9999996072139402,
                0.9999994284996893,
                0.99999976176309,
                0.9999995549151073,
                0.9999996940978825,
                0.9999996533672136,
                0.9999994956523514
            ],
            [
                0.999998239656367,
                0.9999990577556308,
                0.9999993524052018,
                0.9999987901343166,
                0.99999893229713,
                0.9999987901343165,
                0.9999990577552939,
                0.9999987901341724,
                0.9999987901337396,
                0.99999844650169
            ],
            [
                0.9999993524052018,
                0.9999996072136592,
                0.99999893229713,
                0.9999996072138466,
                0.9999996940977731,
                0.9999996533673375,
                0.9999996940977366,
                0.9999996072138934,
                0.9999996940978095,
                0.999999554914789
            ],
            [
                0.9999996533673375,
                0.9999992661791944,
                0.9999995549151073,
                0.9999997300423191,
                0.9999996940978825,
                0.9999996072138934,
                0.9999996533674615,
                0.9999996533674202,
                0.9999996940977001,
                0.9999997300423191
            ],
            [
                0.9999997617630616,
                0.9999996940976636,
                0.9999994956527721,
                0.9999994956525918,
                0.9999992661788445,
                0.9999998362623723,
                0.9999995549151073,
                0.9999996533672962,
                0.9999996940976272,
                0.9999994956524716
            ],
            [
                0.999999653367379,
                0.9999991684719723,
                0.9999994956527121,
                0.9999996072136125,
                0.999999428499553,
                0.9999996072137529,
                0.9999994956524115,
                0.999999554914895,
                0.9999996072137061,
                0.9999994956523514
            ],
            [
                0.999999554914895,
                0.9999996072136125,
                0.9999996072138466,
                0.9999992661786696,
                0.9999991684715758,
                0.9999989322968754,
                0.9999994284993486,
                0.9999996940977731,
                0.9999996533674202,
                0.9999996940976272
            ],
            [
                0.9999994956527721,
                0.9999994956525318,
                0.999999352405279,
                0.9999995549148419,
                0.9999996072136125,
                0.9999996072136125,
                0.9999997300420939,
                0.9999994956527121,
                0.9999996940977001,
                0.9999994956527121
            ],
            [
                0.9999996533675028,
                0.9999998362623528,
                0.9999994956523514,
                0.9999996072136592,
                0.9999997300420939,
                0.999999730042126,
                0.9999995549150011,
                0.9999997897565587,
                0.9999994284996211,
                0.9999994956525917
            ],
            [
                0.9999996072137529,
                0.9999993524051246,
                0.9999996072139402,
                0.9999995549147889,
                0.9999994284993486,
                0.999999694097773,
                0.9999996533673788,
                0.9999997897566089,
                0.999999730042126,
                0.9999997300422225
            ],
            [
                0.9999993524051246,
                0.9999994956524716,
                0.9999996072137529,
                0.9999996940976636,
                0.9999995549147358,
                0.999999554914895,
                0.9999994956524114,
                0.9999992661791944,
                0.9999992661790195,
                0.999999694097846
            ],
            [
                0.9999993524053562,
                0.9999994284996891,
                0.9999984465024306,
                0.999999730042319,
                0.9999994956525317,
                0.9999994284993485,
                0.9999997300422547,
                0.9999995549147889,
                0.9999996533673375,
                0.9999996072137061
            ],
            [
                0.9999996072137998,
                0.9999996940977366,
                0.9999996940977366,
                0.9999995549150011,
                0.9999997897567342,
                0.9999997300421581,
                0.9999997300421581,
                0.9999998874647574,
                0.9999997300422225,
                0.9999996533672962
            ],
            [
                0.9999996533672135,
                0.9999997617630048,
                0.9999998874647574,
                0.9999998144608317,
                0.9999998362622357,
                0.9999994284994849,
                0.9999997617631469,
                0.9999996940978825,
                0.9999997617629763,
                0.9999996533674615
            ],
            [
                0.9999994956524114,
                0.999999554914895,
                0.9999997617630899,
                0.9999996072138934,
                0.9999994284996211,
                0.999999352404893,
                0.9999993524054334,
                0.9999993524052019,
                0.9999997897565587,
                0.9999996072137061
            ],
            [
                0.9999997617629764,
                0.999999694097846,
                0.9999997897566589,
                0.9999997897566589,
                0.9999992661790196,
                0.9999998144609424,
                0.9999997897565587,
                0.9999998362622747,
                0.9999994956524716,
                0.99999976176309
            ],
            [
                0.9999994284996211,
                0.9999994956523512,
                0.9999995549147358,
                0.9999996072137998,
                0.9999996533672135,
                0.9999997300422868,
                0.9999997300422547,
                0.9999997897565587,
                0.9999995549148419,
                0.9999997300421581
            ],
            [
                0.9999996940978461,
                0.9999997897565587,
                0.9999996533672962,
                0.9999996072136593,
                0.9999996940977366,
                0.9999996940976638,
                0.9999996533674201,
                0.9999995549148419,
                0.9999994956525318,
                0.9999996940977001
            ],
            [
                0.9999996533673375,
                0.9999997300422869,
                0.999999554914842,
                0.9999996940977731,
                0.9999997300422547,
                0.9999997617629763,
                0.999999554914895,
                0.9999996533673375,
                0.9999996940976636,
                0.9999989322973846
            ],
            [
                0.9999997617630899,
                0.9999993524049703,
                0.9999994956524715,
                0.9999990577552939,
                0.9999996940976271,
                0.9999996072138465,
                0.9999995549150011,
                0.9999994956523514,
                0.999999554914895,
                0.9999995549147889
            ],
            [
                0.9999994956524114,
                0.999999495652652,
                0.999999789756634,
                0.9999997897565587,
                0.9999996940976638,
                0.9999996940976636,
                0.9999996940978825,
                0.9999996533675028,
                0.9999997617630616,
                0.9999996533674614
            ],
            [
                0.9999996072137529,
                0.9999996072138934,
                0.999999554914895,
                0.9999997617629764,
                0.9999996940978825,
                0.999999352405279,
                0.9999997300422869,
                0.9999997617630332,
                0.9999997300422225,
                0.9999996533672549
            ],
            [
                0.9999990577555185,
                0.9999991684718732,
                0.9999990577550691,
                0.9999989322967482,
                0.9999991684722698,
                0.9999986290426299,
                0.9999974387174841,
                0.9999990577550691,
                0.9999993524053562,
                0.9999994284994167
            ],
            [
                0.9999997300421581,
                0.9999996533674202,
                0.9999996533674615,
                0.9999996533674202,
                0.9999996940978825,
                0.9999995549150542,
                0.9999995549149481,
                0.999999653367503,
                0.9999997617631469,
                0.999999554914895
            ],
            [
                0.999999730042319,
                0.9999994284994168,
                0.9999992661786696,
                0.9999996072138934,
                0.9999996940978095,
                0.9999994284994849,
                0.9999997300421581,
                0.999999694097846,
                0.9999995549150011,
                0.9999994956524114
            ],
            [
                0.9999996072138934,
                0.9999996072138465,
                0.9999990577555185,
                0.9999994284996893,
                0.9999996072137062,
                0.9999995549148419,
                0.9999995549151073,
                0.9999994956523514,
                0.9999996940977366,
                0.9999995549150541
            ],
            [
                0.9999997617629763,
                0.9999998362622942,
                0.9999998144609424,
                0.9999996072136592,
                0.9999994284992805,
                0.9999996533674202,
                0.9999997897565838,
                0.9999997300422547,
                0.9999996940977366,
                0.9999997300422869
            ],
            [
                0.9999995549147358,
                0.9999996072138466,
                0.9999997617631184,
                0.9999997300422869,
                0.9999997300422547,
                0.9999995549147359,
                0.9999996072137998,
                0.9999996533675028,
                0.9999996072138466,
                0.9999994284992805
            ],
            [
                0.9999997617631183,
                0.999999352405279,
                0.999999554914895,
                0.9999996533672135,
                0.9999992661788446,
                0.9999994284992805,
                0.9999992661787571,
                0.9999995549150011,
                0.9999993524052019,
                0.9999996072137061
            ],
            [
                0.9999997300422225,
                0.9999994956524114,
                0.9999987901344607,
                0.9999989322967483,
                0.9999992661790195,
                0.9999996940976638,
                0.9999993524049702,
                0.9999995549151072,
                0.9999992661790195,
                0.9999993524052789
            ],
            [
                0.9999998362622942,
                0.9999996940976272,
                0.9999996940978825,
                0.9999997897565587,
                0.9999997300422225,
                0.9999998555019274,
                0.9999994284994168,
                0.9999995549151073,
                0.999999814460876,
                0.999999653367503
            ],
            [
                0.9999987901337397,
                0.9999994284992805,
                0.9999996940976636,
                0.999999653367379,
                0.9999996533674202,
                0.9999996072137998,
                0.9999993524051246,
                0.9999994956523514,
                0.9999996072136592,
                0.9999997897566589
            ],
            [
                0.999999653367379,
                0.9999994284996211,
                0.9999994956525918,
                0.9999996533672549,
                0.9999995549150542,
                0.9999995549147359,
                0.9999996533672962,
                0.999999266179107,
                0.9999996940977731,
                0.9999992661792819
            ],
            [
                0.9999996533672549,
                0.9999996533672963,
                0.9999994284996893,
                0.9999994956527121,
                0.9999996072138466,
                0.9999997617630616,
                0.9999995549147358,
                0.9999996940978825,
                0.9999994956523514,
                0.9999992661792819
            ],
            [
                0.9999993524054334,
                0.9999996533672136,
                0.9999996533673375,
                0.9999996072136593,
                0.9999996072138466,
                0.9999994956527121,
                0.9999996072139402,
                0.9999996533673375,
                0.999999730042126,
                0.9999997300423191
            ],
            [
                0.999999266179282,
                0.9999996533674201,
                0.9999994956527121,
                0.9999996533674202,
                0.9999986290424664,
                0.9999994956525918,
                0.9999995549149481,
                0.9999994956524716,
                0.9999994956524115,
                0.999999653367379
            ],
            [
                0.9999996072138466,
                0.9999995549150011,
                0.9999997897567341,
                0.999999554914895,
                0.9999996533674615,
                0.999999730042319,
                0.9999996533675028,
                0.9999996072138466,
                0.9999996072137998,
                0.9999996533673375
            ],
            [
                0.9999996940978095,
                0.9999996533674202,
                0.9999995549147889,
                0.9999995549150011,
                0.9999994956526519,
                0.9999996533672548,
                0.9999994956527121,
                0.9999996533672549,
                0.9999996940977731,
                0.9999994956527721
            ],
            [
                0.999999694097846,
                0.9999997300423191,
                0.9999996072136592,
                0.9999997617629764,
                0.9999996072139402,
                0.9999998362623137,
                0.9999996940976636,
                0.9999996533673375,
                0.9999993524050474,
                0.9999997300422225
            ],
            [
                0.9999995549150011,
                0.9999991684719723,
                0.9999997300421583,
                0.9999997300421581,
                0.9999992661789321,
                0.9999994956524114,
                0.9999996072137529,
                0.999999428499553,
                0.999999495652652,
                0.999999814460876
            ],
            [
                0.9999996072136593,
                0.9999996533672549,
                0.999999653367379,
                0.9999993524049703,
                0.9999996940977366,
                0.9999996940977001,
                0.9999996533674202,
                0.9999996940976636,
                0.9999995549147889,
                0.99999976176309
            ],
            [
                0.9999997617631184,
                0.9999996940976272,
                0.9999996072136125,
                0.999999653367379,
                0.9999998724809571,
                0.9999996940978095,
                0.9999998724810027,
                0.9999997300423191,
                0.9999997897565587,
                0.9999998144609645
            ],
            [
                0.9999995549148419,
                0.9999994284993486,
                0.9999996940977366,
                0.9999996072137061,
                0.999999352404893,
                0.9999996533674201,
                0.9999997617630048,
                0.9999996940977366,
                0.9999995549150011,
                0.9999990577557433
            ],
            [
                0.9999997617631469,
                0.9999996072137998,
                0.9999994956525918,
                0.9999993524049702,
                0.9999995549148419,
                0.999999789756684,
                0.9999996533673375,
                0.9999996940978095,
                0.9999997617630049,
                0.9999998144609645
            ],
            [
                0.9999996940976636,
                0.9999997617630616,
                0.9999997617630048,
                0.9999997300421583,
                0.9999997300422547,
                0.9999994956525918,
                0.9999993524054334,
                0.999999266179107,
                0.9999994284997574,
                0.999999789756684
            ],
            [
                0.9999998362623332,
                0.9999997300423191,
                0.9999998362623723,
                0.9999996940977002,
                0.9999996940976638,
                0.9999996533675028,
                0.999999730042126,
                0.9999996533673375,
                0.9999996533673375,
                0.999999266179107
            ],
            [
                0.999999789756634,
                0.9999998362622746,
                0.9999996072139402,
                0.9999995549147889,
                0.9999996940978825,
                0.9999994956526519,
                0.9999994956525318,
                0.9999997300422225,
                0.9999997617631469,
                0.9999997617631183
            ],
            [
                0.9999996533672962,
                0.9999994284996211,
                0.9999994284996211,
                0.9999996533675028,
                0.9999996072137998,
                0.999999352405279,
                0.9999998362623332,
                0.9999994284996211,
                0.99999976176309,
                0.9999996940976636
            ],
            [
                0.9999996072136125,
                0.9999996072138934,
                0.999999694097846,
                0.9999994284996211,
                0.9999987901346051,
                0.999999694097846,
                0.9999996072138466,
                0.9999997300423191,
                0.9999995549148419,
                0.999999694097773
            ],
            [
                0.9999993524053562,
                0.9999992661786695,
                0.9999996533673375,
                0.9999997300422225,
                0.9999994956526519,
                0.999999495652652,
                0.9999993524049702,
                0.9999994284994167,
                0.9999990577552937,
                0.999999266178932
            ],
            [
                0.9999996533672136,
                0.9999995549147889,
                0.9999996072137998,
                0.9999994956523514,
                0.9999994956527721,
                0.999999653367379,
                0.999999694097773,
                0.9999994956523514,
                0.9999993524052019,
                0.9999996940977731
            ],
            [
                0.9999994284993486,
                0.999999653367503,
                0.9999994956527121,
                0.9999996533674202,
                0.9999996072136592,
                0.9999995549151072,
                0.9999992661788445,
                0.9999992661790196,
                0.9999994284994849,
                0.9999997300420937
            ],
            [
                0.9999996940978825,
                0.9999997617630616,
                0.9999997897567091,
                0.9999997300423191,
                0.9999993524049702,
                0.9999994284993486,
                0.9999996533672136,
                0.9999996533672962,
                0.9999996533672136,
                0.9999996940978825
            ],
            [
                0.9999994956524115,
                0.9999996533672548,
                0.9999997617629764,
                0.9999994956524716,
                0.999999653367503,
                0.999999352404893,
                0.9999993524052019,
                0.9999996072138465,
                0.9999998362623137,
                0.9999995549147358
            ],
            [
                0.9999997617630049,
                0.999999694097773,
                0.9999997897567342,
                0.9999996533672548,
                0.999999554914895,
                0.9999996940976271,
                0.9999996533673375,
                0.9999997897567342,
                0.9999993524049703,
                0.9999997300423191
            ],
            [
                0.9999996533672136,
                0.9999998555020307,
                0.9999996940977366,
                0.9999996533674615,
                0.9999996533674615,
                0.9999997897567341,
                0.9999996533674615,
                0.9999997300423191,
                0.9999998724809571,
                0.9999995549147359
            ],
            [
                0.9999994284994849,
                0.9999997617630332,
                0.999999653367379,
                0.9999994956525918,
                0.9999995549149481,
                0.9999995549149481,
                0.9999997300423191,
                0.9999996533672549,
                0.9999997897566089,
                0.99999976176309
            ],
            [
                0.9999996072139402,
                0.9999996940978825,
                0.9999997617630616,
                0.9999996533672962,
                0.999999694097773,
                0.999999554914895,
                0.9999996533674202,
                0.9999996072137529,
                0.9999995549148419,
                0.9999995549148419
            ],
            [
                0.9999993524051246,
                0.9999994284996212,
                0.9999996940977002,
                0.9999996533673375,
                0.9999990577554062,
                0.9999996072137998,
                0.9999996940976636,
                0.9999993524049702,
                0.9999995549148419,
                0.9999995549150011
            ],
            [
                0.9999996072138934,
                0.9999994284994167,
                0.9999989322973847,
                0.9999995549147359,
                0.9999994956526519,
                0.999999168471675,
                0.9999997300421904,
                0.9999996940977731,
                0.9999994956525918,
                0.9999994956524115
            ],
            [
                0.9999996940978825,
                0.9999994284996211,
                0.9999996533674615,
                0.9999996940977001,
                0.999999428499553,
                0.9999996533672962,
                0.9999992661790195,
                0.9999996072138466,
                0.9999996072137998,
                0.9999995549147889
            ],
            [
                0.9999996533672136,
                0.9999994284994167,
                0.9999996940976636,
                0.9999996533674614,
                0.9999996940977731,
                0.9999996533672962,
                0.9999994284995529,
                0.9999994956523514,
                0.9999996533672549,
                0.9999997617630048
            ],
            [
                0.9999996940976272,
                0.9999996072139402,
                0.9999995549151073,
                0.9999994956527722,
                0.9999996940976271,
                0.9999997300422547,
                0.9999996072138466,
                0.9999996072136125,
                0.9999995549147889,
                0.999999495652652
            ],
            [
                0.9999996072136125,
                0.9999996940978461,
                0.9999996072136592,
                0.9999996072137529,
                0.9999996072137998,
                0.9999997300422869,
                0.9999998144609645,
                0.9999994956524716,
                0.9999996940978095,
                0.9999996940977002
            ],
            [
                0.9999996072137061,
                0.9999995549149481,
                0.9999992661786697,
                0.9999996072137061,
                0.999999495652652,
                0.9999995549147358,
                0.9999994956527721,
                0.9999994284994168,
                0.9999996533672136,
                0.9999987901341724
            ],
            [
                0.999999694097846,
                0.9999996072138934,
                0.9999997897567342,
                0.9999997300422225,
                0.9999997617630616,
                0.9999997617631752,
                0.999999814460876,
                0.9999995549147889,
                0.999999694097846,
                0.9999996940976636
            ],
            [
                0.9999996533672136,
                0.9999996940976271,
                0.9999996072137061,
                0.9999994284994849,
                0.9999994284993486,
                0.9999996533675028,
                0.9999996072136125,
                0.9999995549147358,
                0.9999996533673375,
                0.9999996940978095
            ],
            [
                0.9999994284994167,
                0.9999993524049703,
                0.9999995549150542,
                0.9999996940976636,
                0.9999994956523514,
                0.9999996072136592,
                0.999999694097846,
                0.9999996072137998,
                0.9999996533672962,
                0.999997097688015
            ],
            [
                0.9999998144608319,
                0.9999995549148951,
                0.9999996940976272,
                0.9999996940978095,
                0.9999997300423191,
                0.9999996072136125,
                0.9999996072138465,
                0.9999997300423191,
                0.9999995549147889,
                0.9999996072137061
            ],
            [
                0.9999996940976271,
                0.9999997300422547,
                0.9999997300422869,
                0.9999998144609202,
                0.9999997300420937,
                0.9999996940978095,
                0.9999996072137998,
                0.999999554914895,
                0.9999996072136125,
                0.9999997617631752
            ],
            [
                0.999999789756684,
                0.9999996533673375,
                0.9999997300420939,
                0.9999996072137998,
                0.9999998144609424,
                0.9999994956524114,
                0.9999995549151073,
                0.9999996940976636,
                0.999999789756634,
                0.9999994284993486
            ],
            [
                0.9999997300422225,
                0.9999997300422869,
                0.9999996072139402,
                0.9999996533675028,
                0.9999994956523512,
                0.9999996072137529,
                0.9999997617631183,
                0.9999997300421581,
                0.9999998144609423,
                0.9999994284994849
            ],
            [
                0.999999428499553,
                0.9999997300422869,
                0.9999996533672962,
                0.9999996940978825,
                0.9999996533675028,
                0.9999997897566589,
                0.9999996940976272,
                0.999999789756634,
                0.9999997300422547,
                0.9999994956525918
            ],
            [
                0.9999997897566589,
                0.999999814460876,
                0.9999996533674202,
                0.9999994284997574,
                0.999999694097846,
                0.9999998555019618,
                0.9999994284993486,
                0.9999993524054334,
                0.9999997300422869,
                0.9999996940976272
            ],
            [
                0.9999994956525918,
                0.9999993524049702,
                0.9999993524054335,
                0.9999991684718732,
                0.9999996072137061,
                0.9999993524051246,
                0.9999996072137529,
                0.9999995549149481,
                0.999999554914842,
                0.9999995549147889
            ],
            [
                0.9999997300420939,
                0.9999997300420939,
                0.9999990577555185,
                0.9999993524051246,
                0.9999995549147358,
                0.9999994956526519,
                0.9999992661792819,
                0.9999994956525918,
                0.9999996072136592,
                0.9999990577551816
            ],
            [
                0.9999995549150542,
                0.9999997617631753,
                0.9999994956527722,
                0.9999998362623137,
                0.9999997300421261,
                0.9999996533673788,
                0.9999996072137529,
                0.9999996533672136,
                0.999999694097773,
                0.9999992661791945
            ],
            [
                0.9999994284996893,
                0.9999996072137061,
                0.9999995549147359,
                0.9999994284992805,
                0.9999995549147358,
                0.9999996072139402,
                0.9999996072138465,
                0.9999997617631183,
                0.9999996072138934,
                0.9999994284993486
            ],
            [
                0.9999997897567341,
                0.9999997617629764,
                0.9999998362622747,
                0.999999789756684,
                0.9999997617630048,
                0.9999997617631468,
                0.9999998874647574,
                0.9999997897565838,
                0.9999996072137529,
                0.9999998362623137
            ],
            [
                0.9999994284994168,
                0.9999995549147889,
                0.9999994956523514,
                0.9999996072138465,
                0.9999997617630332,
                0.9999994956524114,
                0.9999997300423191,
                0.9999991684722697,
                0.9999995549150542,
                0.9999997617631468
            ]
        ]
    },
    {
        "q_id": "10421_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999885212332431,
                0.9999599362982708,
                0.9999687980997854,
                0.999972464315468,
                0.999964643732439,
                0.9999982396561571,
                0.9999417087483918,
                0.9999980052695652,
                0.9999756997563736,
                0.9994472214545342
            ],
            [
                0.9999974387171787,
                0.9999910603047619,
                0.9999756997592735,
                0.9999967112497584,
                0.9999993524049702,
                0.9999885212277699,
                0.9999646437535129,
                0.9999785550515963,
                0.9999546021476294,
                0.999988521229139
            ],
            [
                0.9999339478632154,
                0.9525741256443601,
                0.9997040427607241,
                0.9999756997592695,
                0.9999945777829695,
                0.9997965730511625,
                0.009708477224651279,
                0.9999869928715361,
                0.9999756997505795,
                0.9999038975623662
            ],
            [
                0.9999869928668845,
                0.9999962733589389,
                0.9999989322972572,
                0.9999990577550691,
                0.9999945777803838,
                0.9999986290421395,
                0.9999996072137998,
                0.999860177942705,
                0.9999885212346113,
                0.9999756997476829
            ],
            [
                0.9999869928653358,
                0.999195914121566,
                0.9998766053666093,
                0.0008040858426577827,
                0.025957359976362126,
                0.0015011822670323893,
                0.0013250225569351782,
                0.9902915249422026,
                7.889266347456862e-06,
                0.0003353501897286811
            ],
            [
                3.5356259112640515e-05,
                0.9959298631316323,
                0.9991959139618122,
                0.0007096703518362048,
                0.000295957127781399,
                0.0024726235080935145,
                0.0005527785903585782,
                1.012999460108057e-05,
                0.0009110512898739364,
                0.002800926896886951
            ],
            [
                0.9999984465015047,
                0.9999339478710932,
                0.9998415637079199,
                0.9999885212305057,
                0.9999952149066461,
                0.9999910603068934,
                0.9999977396748938,
                0.9998911031297583,
                0.9999485577986026,
                0.9999987901341723
            ],
            [
                0.9986749774518455,
                0.9982992779698382,
                4.539785235863304e-05,
                5.144223814063949e-05,
                0.996406398205587,
                0.00026119033583775616,
                0.9971990732839007,
                7.889265406567165e-06,
                0.9997040428720033,
                0.000295956989817001
            ],
            [
                0.9998766054401204,
                0.9999869928715357,
                0.9999038976194604,
                0.9999980052707541,
                0.9840936105332503,
                0.9999962733607158,
                0.9999687980998037,
                0.9997965729544204,
                0.9999984465020603,
                0.9999756997534747
            ],
            [
                0.9999869928746374,
                0.9996200155141343,
                0.9998911030517628,
                0.9984988175392745,
                0.02297736748473919,
                0.9999151889889952,
                0.9999921107364739,
                0.9999646437619301,
                0.9999938558224686,
                0.9999938558268633
            ],
            [
                0.9999852610127625,
                0.9999957771665555,
                0.9999869928730862,
                0.9999869928699856,
                0.9996200155594701,
                0.9999984465026159,
                0.9999646437535161,
                0.9994472213937875,
                0.999997438717484,
                0.9999994284996211
            ],
            [
                0.9999987901341723,
                0.999998446502801,
                0.9999980052707541,
                0.9999852610180356,
                0.9999945777810304,
                0.9999852610145155,
                0.9999898700053976,
                0.9999339478397065,
                0.9940889310124146,
                0.9999687980886298
            ],
            [
                0.9995121427653029,
                0.9999546021421782,
                0.9998415637076571,
                0.053403330741417704,
                0.9996646499292348,
                0.9999785550439215,
                0.9994472213879668,
                0.9999687980811902,
                0.9999339478474367,
                0.9669140229222414
            ],
            [
                0.9999599363030484,
                0.9999885212291382,
                0.999996273358939,
                0.9998415637265365,
                0.9999810748585282,
                0.9999898700041906,
                0.9999339478395968,
                0.9999996072136592,
                0.9999724643089016,
                0.9999990577550691
            ],
            [
                0.9996200155172518,
                0.2689414213699951,
                0.9890130585635626,
                0.7981867801399695,
                0.9890130568634085,
                4.006368262694324e-05,
                0.9964063974352538,
                0.9975273762782746,
                0.001325022552621819,
                0.9978172840460289
            ],
            [
                0.999999266178757,
                0.9999869928684375,
                0.9999986290424663,
                0.9999756997563787,
                0.9999898700078131,
                0.999972464302344,
                0.9999898700126433,
                0.9999938558239334,
                0.9999993524052789,
                0.9998601779427884
            ],
            [
                0.9999930377429203,
                0.9999938558232009,
                0.9999992661787571,
                0.9999646437619418,
                0.9999980052707541,
                0.9999989322966208,
                0.9999957771675622,
                0.9999957771680656,
                0.9999997617631184,
                0.9999993524052019
            ],
            [
                0.9999967112513267,
                0.11920292671569666,
                0.9999962733616047,
                0.9999852610197857,
                0.9999869928668849,
                0.9999910603004989,
                0.9999339478474645,
                0.006692849515722107,
                0.9999930377420904,
                0.9999485577864472
            ],
            [
                0.9996646499692958,
                0.9999885212305069,
                0.9999756997476814,
                0.9999251537370629,
                0.9999038976079088,
                0.0008040859223008323,
                0.999983298574178,
                0.9982992779486892,
                0.9914225138893381,
                0.9998911030649053
            ],
            [
                0.9999989322967481,
                0.9999952149055054,
                0.9999921107393018,
                0.999933947878971,
                0.9999989322972572,
                0.9999992661791945,
                0.999997438717484,
                0.9999984465015047,
                0.9999952149055062,
                0.9999989322972572
            ],
            [
                0.9995694429124753,
                0.9999852610127579,
                0.999959936317373,
                0.9980732654127881,
                0.00757724082664761,
                0.9978172835298073,
                0.9998601778928216,
                0.9933071495307894,
                0.9964063967066051,
                0.9995121429055726
            ],
            [
                0.00020342697245850854,
                0.04742587149460509,
                5.144220750533887e-05,
                0.0017007226768838524,
                0.01406362501581495,
                2.4300234921326896e-05,
                1.6701419847381817e-05,
                0.9579122692307689,
                7.48462272350754e-05,
                0.00010889687004997901
            ],
            [
                0.9999930377437514,
                0.9994472212563114,
                0.9999992661792819,
                0.9999952149072165,
                0.9999967112521109,
                0.9999980052709919,
                0.9999986290426298,
                0.9999987901347491,
                0.9999970976887068,
                0.9999945777810304
            ],
            [
                0.9940889318579267,
                6.144176066264237e-06,
                2.561283126679493e-06,
                4.222831934248571e-06,
                0.006692849800530375,
                1.6701421842566163e-05,
                0.008577486665053964,
                0.9995694429118115,
                0.9992903295341513,
                0.1192029188930649
            ],
            [
                0.9999998724809267,
                0.9999990577555185,
                0.9999991684720715,
                0.9999997617631469,
                0.9999993524050474,
                0.9999898700126431,
                0.9999995549150542,
                0.9999687980923457,
                0.9999982396574162,
                0.9999996072137998
            ],
            [
                0.9989677690556786,
                0.0011695104542171837,
                0.9991959139711655,
                0.0007096703681413848,
                0.0005527785340496384,
                0.9982992775276874,
                0.9959298614686644,
                0.9994472214018912,
                0.0003353502212038035,
                0.0009110512180835308
            ],
            [
                0.9996200155634829,
                0.9999417087483575,
                0.9992903296265336,
                0.9999785550541526,
                0.9998911030519141,
                0.9999646437408763,
                0.9999885212264008,
                0.998073265587406,
                0.9996200155157815,
                0.9999151889386061
            ],
            [
                0.9998415638021374,
                0.006692851527954694,
                0.9994472214528941,
                0.9993736659010239,
                0.5312093733737562,
                0.05340332565681315,
                0.1824255304737224,
                0.9953904270386283,
                0.9994472213212385,
                0.0013250227083649007
            ],
            [
                0.999975699762166,
                0.9902915224350989,
                0.9820137878336517,
                0.0017007228055562539,
                0.9984988178828615,
                0.9770226282082864,
                0.0031726827018415528,
                0.9525741236248059,
                0.9986749776625841,
                0.017986210455581877
            ],
            [
                0.9999724643023546,
                0.9999930377454103,
                0.9999990577554061,
                0.9999646437408728,
                0.9999785550515873,
                0.9997965730515561,
                0.9999832985761646,
                0.9999251537727355,
                0.9999987901344607,
                0.0035936031541679353
            ],
            [
                0.999820472055645,
                0.9999756997534733,
                0.9999885212305069,
                0.9999546021097396,
                0.9999785550541442,
                0.9999687980774796,
                0.9998204719483437,
                0.999820471948409,
                0.9999885212359798,
                0.9999599363221524
            ],
            [
                0.9997388096292799,
                0.9999980052695652,
                0.9999992661789321,
                0.9999977396765106,
                0.9999869928668851,
                0.9999251537549547,
                0.9999785550541495,
                0.9999962733593832,
                0.9999852610215422,
                0.999820472076904
            ],
            [
                0.9999810748495034,
                0.9999910603015648,
                0.999991060300499,
                0.9999993524051246,
                0.9999599362982599,
                0.99999862904312,
                0.9999962733620491,
                0.9999599363078145,
                0.9999898700090217,
                0.18242552825126704
            ],
            [
                0.9998204720768361,
                0.9999724642957817,
                0.9997694932306012,
                0.9997388097901568,
                0.9999938558253983,
                0.9999921107345929,
                0.9999646437492881,
                0.9999485577924977,
                0.9999945777797375,
                0.9999980052693274
            ],
            [
                0.9999952149032237,
                0.9999687980774866,
                0.9998601779595803,
                0.9999756997621767,
                0.9999869928668851,
                0.9999869928746368,
                0.9999832985701924,
                0.9999687980886309,
                0.9999952149072167,
                0.9998766054252921
            ],
            [
                3.120190018172716e-05,
                4.539785234971499e-05,
                0.0002959571641970532,
                2.7535687803514833e-05,
                3.120190760732817e-05,
                2.7535697636951104e-05,
                2.753570420970657e-05,
                2.7535704207102113e-05,
                1.8925150496161756e-05,
                5.14422319797437e-05
            ],
            [
                7.889266347636241e-06,
                0.002472622640358056,
                0.9999957771665557,
                0.9994472213962958,
                0.9999251537549292,
                0.017986212791436224,
                0.9999251537996557,
                0.9999546021475895,
                0.999972464315471,
                0.9997694931753348
            ],
            [
                0.9993736658913689,
                0.00037998447652435886,
                2.1444950965906214e-05,
                0.9740426409184301,
                3.1201911351060354e-05,
                1.6701417851043295e-05,
                0.9964063966540825,
                0.0005527786649012039,
                0.9968273176015363,
                0.000379984570070101
            ],
            [
                5.144220134032976e-05,
                3.535626333989112e-05,
                0.9149009561531425,
                6.605212092992972e-05,
                0.9626731098447462,
                0.00013982207186335536,
                0.0003353501841088208,
                0.9924227577446619,
                0.029312232235297185,
                6.605216009227347e-05
            ],
            [
                0.9999994284994848,
                0.9999987901338838,
                0.9999987901346049,
                0.9999996533674615,
                0.9999945777829693,
                0.999994577782323,
                0.999993855826863,
                0.9999962733593831,
                0.999997097687669,
                0.9999996533672962
            ],
            [
                0.9995694428600688,
                0.9971990732643912,
                0.9998766054694268,
                0.9992903296267812,
                0.9999339478632457,
                0.010986943217551167,
                0.9991959139672839,
                0.9990889486612768,
                0.9997694933398059,
                0.9989677689413973
            ],
            [
                0.9999962733589389,
                0.9999974387180947,
                0.9999930377429205,
                0.9999977396757022,
                0.9999910603015656,
                0.9998601779261043,
                0.9999952149037943,
                0.9999930377445803,
                0.9999921107392954,
                0.9999970976876689
            ],
            [
                0.9999599362934916,
                0.9999756997592687,
                0.9999952149049349,
                0.9999930377445804,
                0.9999967112513267,
                0.9999921107345934,
                0.9999986290429566,
                0.0035936031633385713,
                0.9999938558268634,
                0.9999546021421827
            ],
            [
                0.9990889487696777,
                0.9998415638019853,
                0.9991959140460851,
                0.999994577780384,
                0.9995121429422151,
                0.0010322311234262067,
                0.9998204719493232,
                0.9999417087067002,
                0.999993855823201,
                0.9525741276639141
            ],
            [
                0.974042644968542,
                0.9947798733706286,
                0.9947798737913817,
                0.9940889320303126,
                0.9975273769955492,
                0.16451646699291614,
                0.01798620644186101,
                0.9982992772460313,
                0.0019267343449854047,
                0.002472623439754311
            ],
            [
                0.9999989322972572,
                0.99999303774624,
                0.9999991684718733,
                0.999941708748388,
                0.9999417087136441,
                0.9999724643056263,
                0.9999982396569966,
                0.9999945777810303,
                0.9999546021097193,
                0.9999910602994336
            ],
            [
                0.9999687980960685,
                0.9999546021313623,
                0.18242551936144574,
                0.9999687980886287,
                0.9999339478319895,
                0.9998911030390718,
                0.20181321745968234,
                0.999933947831719,
                0.9998911031175879,
                0.999860177892553
            ],
            [
                0.9914225154020362,
                2.4300243626409964e-05,
                0.00043055701842173406,
                7.48462537322611e-05,
                0.0004305571688776245,
                0.0001584362915683428,
                0.0017007226019731957,
                0.00023050679691796684,
                0.00013982205588115355,
                0.996827317603009
            ],
            [
                0.0024726235620757433,
                0.9947798755421015,
                0.8175744850834648,
                0.0005527785246916141,
                8.481107135579669e-05,
                0.00017952794109009026,
                0.9914225129706312,
                0.0013250226180924495,
                0.7549149923816048,
                1.0129994599624903e-05
            ],
            [
                0.9999921107345929,
                0.9999957771650453,
                0.9999993524049702,
                0.999999554914895,
                0.9999885212359814,
                0.9999938558239333,
                0.9999832985701962,
                0.9999974387168733,
                0.9999724643023409,
                0.9999898700102295
            ],
            [
                0.008577484162370188,
                0.9940889302380457,
                0.9914225151090004,
                0.0002611902735206026,
                0.0008040860928108761,
                0.9997694933135142,
                0.005911068982112925,
                0.0003799845122313695,
                0.9706877661747662,
                0.9975273765183233
            ],
            [
                0.9914225128914324,
                7.889264466115267e-06,
                0.00020342694717422134,
                0.004609571897342374,
                0.996406398205587,
                0.0002959569906867052,
                0.9998911031297203,
                0.9890130563978902,
                0.9992903295453379,
                0.001325022607155003
            ],
            [
                0.9999756997476837,
                0.9999724643121822,
                0.9999921107364743,
                0.9999910602994339,
                0.9999832985821384,
                0.9991959139585853,
                0.9999986290421395,
                0.9999957771645418,
                0.9999832985721872,
                0.999993855823201
            ],
            [
                0.9968273169351359,
                0.9964063981747403,
                0.9996646499703007,
                0.9999251537816741,
                0.9998911031166317,
                0.0007096705458885094,
                0.0002305066321853269,
                0.00013982207389571545,
                0.9996200155144217,
                0.9994472212536101
            ],
            [
                0.9994472213268984,
                0.9999977396751633,
                0.9999756997592695,
                0.9999962733620488,
                0.9999898700114396,
                0.9999485577679709,
                0.9999986290424663,
                0.9999938558268631,
                0.9999952149066461,
                0.9999417087415159
            ],
            [
                0.9999986290423029,
                0.999999352405279,
                0.9999987901343165,
                0.9999251537371326,
                0.999978555041368,
                0.9999994284996893,
                0.9999994956527121,
                0.9999810748472581,
                0.9999984465020603,
                0.9999984465028011
            ],
            [
                0.999903897608017,
                0.9999646437450794,
                0.009708476615783198,
                0.9997040428302661,
                0.11920292202211756,
                0.004070136785313666,
                0.998498817731397,
                0.9998204720345686,
                0.9995121427648204,
                0.9999339478789965
            ],
            [
                0.9999417087206214,
                0.9999986290432834,
                0.9999977396762411,
                0.005911070194287499,
                0.999769493367325,
                0.7057850216484838,
                0.9999832985761644,
                0.9999991684717741,
                0.9999987901347491,
                0.9999945777810303
            ],
            [
                0.9999852610197877,
                0.9999984465018751,
                0.9999986290427932,
                0.9999810748562736,
                0.9999687980812043,
                0.9999832985781563,
                0.9999980052702785,
                0.9999977396762411,
                0.9999724643121848,
                0.9999938558253981
            ],
            [
                0.00033535022783836156,
                0.9465966743431868,
                0.9968273171582511,
                0.0010322308694142393,
                0.37754066879814546,
                0.001926734489157194,
                0.005911068503262992,
                0.00015843629162597242,
                0.007577241677558806,
                0.9999832985721955
            ],
            [
                0.9997694933126087,
                0.9859363729180137,
                0.999373665787093,
                0.9706877725875104,
                0.9996200154701583,
                0.9988304897311369,
                0.008577485730507406,
                0.996827317877669,
                0.00048785722643760756,
                0.9902915255689784
            ],
            [
                0.0009110512768404013,
                0.9959298624313361,
                0.9999038975735949,
                0.0003353500260600441,
                0.0004878571103788216,
                0.9995121429410231,
                0.9953904279616417,
                0.9986749773705079,
                0.0002611903068602779,
                0.0052201248496341265
            ],
            [
                0.9999991684720715,
                0.9999991684722697,
                0.9999938558239332,
                0.999997097687669,
                0.9999885212332431,
                0.9999885212291376,
                0.9999989322970028,
                0.9999485578047809,
                0.9999938558268633,
                0.9999810748540172
            ],
            [
                0.9999869928715357,
                0.9997388095660659,
                0.9999986290426297,
                0.9999151889182126,
                0.9999869928761901,
                0.9999910603058291,
                0.9999724642990576,
                0.9999756997679594,
                0.9999151889486606,
                0.9999921107392986
            ],
            [
                0.9999952149049351,
                0.9999990577555185,
                0.999997438716568,
                0.9999990577555185,
                0.9996646499708667,
                0.9999984465016899,
                0.9999646437577258,
                0.9999724643023675,
                0.9999869928761874,
                0.9999980052707541
            ],
            [
                0.9890130562258507,
                0.9998766054699887,
                0.9999417087205654,
                0.9982992773851793,
                0.9994472214577501,
                0.999664650021621,
                0.9998601779258989,
                0.9995694429395929,
                0.9997694931768976,
                0.9999038975851613
            ],
            [
                0.9998204719914653,
                0.9999646437619372,
                0.9999724643154645,
                0.9999646437366431,
                0.9999785550464798,
                0.9998415637833618,
                0.9999339478238272,
                0.9999687980811913,
                0.9999485577924709,
                0.9999810748427401
            ],
            [
                0.9999938558253983,
                0.9999832985801475,
                0.9999974387168732,
                0.9999989322972573,
                0.9999967112513267,
                0.9999994284994167,
                0.9999995549150011,
                0.9999996072138465,
                0.999999352404893,
                0.9999989322967481
            ],
            [
                0.9046505428129514,
                0.9992903296354085,
                0.0011695101592555436,
                0.9992903295665966,
                0.9984988179858155,
                0.989013057895645,
                0.7981867801399695,
                0.9982992778882073,
                0.9988304899077873,
                0.00029595701904250847
            ],
            [
                0.9820137881955445,
                0.9988304896039865,
                0.0005527787113054407,
                2.4300246506623417e-05,
                0.004070137142068378,
                0.017986211508361265,
                0.0003799845148292481,
                0.002800927590122839,
                2.753568781022632e-05,
                0.00020342699589597716
            ],
            [
                0.0007096703591425766,
                0.9991959138892775,
                0.9980732655126338,
                0.00010889690745334914,
                0.9991959139427316,
                0.0011695099888604946,
                0.005911069948021764,
                0.9986749775562905,
                6.605216026239207e-05,
                0.9933071488775875
            ],
            [
                0.9999687980960674,
                0.9990889486868141,
                0.9999546021367759,
                0.9997965730507836,
                0.9996646497317494,
                0.9992903297312996,
                0.20181321745968234,
                0.9999546021476033,
                0.9998601779759103,
                0.9995121428267525
            ],
            [
                0.9890130597880782,
                0.002800927531594474,
                0.0002611904326725625,
                0.9626731117188292,
                0.005220126525392195,
                0.9770226306753883,
                0.0007096704433103329,
                0.9984988180331046,
                0.0009110511622936473,
                0.9924227584660106
            ],
            [
                0.999993855827596,
                0.9999974387187053,
                0.9999986290424664,
                0.9999991684720715,
                0.9999898700114359,
                0.999986992873086,
                0.9999957771660521,
                0.999999352404893,
                0.9999986290421394,
                0.9999986290424664
            ],
            [
                0.9999930377445805,
                0.999993855827596,
                0.9994472213197593,
                0.003593601899458436,
                0.9999251537995594,
                0.999992110735535,
                0.9999852610162713,
                0.9998601779426847,
                0.9999885212291397,
                0.9914225126934352
            ],
            [
                0.9999810748517589,
                0.9999945777797377,
                0.9999599363126097,
                0.9999898700114356,
                0.999986992869987,
                0.999998005269803,
                0.9998911031038282,
                0.9999832985761651,
                0.9999852610180282,
                0.9997965731000796
            ],
            [
                0.9999967112497585,
                0.9999974387171787,
                0.9999417087275321,
                0.9999962733593835,
                0.9998415638019853,
                0.9999687980849129,
                0.9999724643187504,
                0.9999869928761871,
                0.9986749778361966,
                0.9999339478474948
            ],
            [
                0.9999921107383547,
                0.9999038975850291,
                0.9964063979538115,
                0.9997694932038869,
                0.999796573002639,
                0.0021827161157340984,
                0.9964063968099832,
                0.0046095719507574925,
                0.9997040429719246,
                0.9994472213239721
            ],
            [
                0.989013058432003,
                0.9999599362982634,
                0.9993736658979271,
                0.9997388097836364,
                0.9999599362982671,
                0.9978172836641871,
                0.9999952149055054,
                0.9999546021367783,
                0.014063624989987809,
                0.9999724643187469
            ],
            [
                0.999915188968843,
                0.9991959138856298,
                0.0024726233559095767,
                0.9999151889288552,
                0.9994472213924047,
                0.9999687980849181,
                0.9995121428921473,
                0.9999910603026306,
                0.9999485577619706,
                0.9999852610180298
            ],
            [
                0.9999997897566589,
                0.9999980052705163,
                0.9999910603015658,
                0.9999994956524114,
                0.9999991684721706,
                0.9999994956523514,
                0.9999869928746374,
                0.9999910603015654,
                0.9999938558224684,
                0.9999996533675028
            ],
            [
                0.9999997300422869,
                0.9999987901347491,
                0.9999986290426298,
                0.9999986290427931,
                0.9996200155153504,
                0.9999938558275955,
                0.9999930377462403,
                0.9999980052700407,
                0.9999980052695652,
                0.9999724642990565
            ],
            [
                0.037326891627747535,
                0.9999996072138465,
                0.9999962733602717,
                0.9997694931754488,
                0.9999756997650613,
                0.9999756997621654,
                0.9999885212332433,
                0.9999485577618096,
                0.9999687980737538,
                0.9999984465018751
            ],
            [
                0.9992903297040554,
                0.9978172835967436,
                0.9989677688311973,
                0.9998415638022159,
                0.9995694429110724,
                0.9984988177099339,
                0.9978172834948178,
                0.9998766053810425,
                0.9840936061597468,
                0.9875683463454974
            ],
            [
                0.9989677690499166,
                0.9149009607937928,
                0.932453304167687,
                0.9998911031037014,
                0.9968273164115881,
                0.9988304899974046,
                0.9999599363030465,
                0.9996646498530056,
                0.9996200155169533,
                0.9990889486751581
            ],
            [
                0.9999945777803838,
                0.9999970976880149,
                0.9999952149049351,
                0.9999977396746244,
                0.9999938558232012,
                0.999915188938579,
                0.9999546021367691,
                0.9999984465015047,
                0.9999977396762412,
                0.9999938558239335
            ],
            [
                0.9996200154702357,
                0.0009110511938708269,
                0.9669140235181257,
                0.9996200154261381,
                0.9978172831748414,
                0.9998766053958151,
                0.0019267343073753743,
                0.9999810748517598,
                0.0019267344305034522,
                0.9999898700078134
            ],
            [
                0.9994472214542448,
                4.0063687408107886e-05,
                2.260325375650449e-06,
                0.2689414096510109,
                0.9953904269937596,
                0.9968273168416188,
                0.006692852029465064,
                1.553497384180408e-06,
                6.962258739530771e-06,
                0.9995121428260144
            ],
            [
                0.9999970976883609,
                0.9999417087344614,
                0.9999938558261307,
                0.9999785550567005,
                0.9989677690328704,
                0.99991518895867,
                0.9999038976081129,
                0.9999852610127579,
                0.9999646437366474,
                0.9999485577679469
            ],
            [
                0.9996200154737953,
                0.1645164608483867,
                0.9994472212573725,
                0.9992903294591062,
                0.06754669724011829,
                0.9995121428231761,
                0.9999417087066922,
                0.9990889487607767,
                0.9975273766710816,
                0.9999251537370575
            ],
            [
                0.9902915253540838,
                0.9890130571467676,
                0.9959298614063737,
                0.9994472213910218,
                0.0028009274106358573,
                0.9999251537817176,
                0.9999485577741123,
                0.9959298626937112,
                0.9997388096323121,
                0.999841563802036
            ],
            [
                0.946596676038055,
                0.9859363706452251,
                0.9933071490757152,
                0.9989677691608366,
                0.00017952805135597295,
                0.9875683487466261,
                0.000295957129141927,
                0.9940889306731151,
                0.0005527786766389351,
                0.9046505402422645
            ],
            [
                1.892515500560259e-05,
                0.0008040858959246248,
                4.006369216362198e-05,
                0.0005527785723821656,
                0.00015843623510281685,
                0.00023050671132887932,
                2.1444945847446664e-05,
                1.892515048042999e-05,
                3.120191874590325e-05,
                0.996406397483608
            ],
            [
                0.9999646437408855,
                0.9999967112493665,
                0.9999967112509346,
                0.999998790134605,
                0.9994472214579109,
                0.9999989322966208,
                0.9999962733611603,
                0.9999984465016899,
                0.9999967112497585,
                0.9999885212359814
            ],
            [
                0.0031726825133349085,
                0.9982992771974086,
                2.7535691091443854e-05,
                0.9995694428191731,
                0.00043055708836392634,
                0.00010889687009276013,
                0.0013250226147033816,
                4.0063701703217896e-05,
                0.9999151889182362,
                0.00010889686976001818
            ],
            [
                0.9984988180941791,
                0.9971990733645397,
                0.9999485577618096,
                0.998073264965945,
                0.9947798734504266,
                0.9991959141464924,
                0.9984988177142963,
                0.9770226295463756,
                0.998674977758094,
                0.999664649971091
            ],
            [
                0.0006263342343306326,
                0.00033535006637471973,
                6.605217610793098e-05,
                0.007577239601055518,
                0.9933071481222264,
                0.9953904272886112,
                0.9978172840475502,
                0.0001088969610644462,
                0.0046095727284816935,
                0.9706877671287282
            ],
            [
                0.9999986290423029,
                0.9999938558239332,
                0.999999168471675,
                0.9999921107402361,
                0.9999993524054335,
                0.9999986290427931,
                0.9999485577679806,
                0.9999930377445804,
                0.9999930377420906,
                0.9999646437492865
            ],
            [
                0.9999967112513267,
                0.9999967112505427,
                0.9999995549149481,
                0.9999756997505761,
                0.9999994284994849,
                0.9999987901347492,
                0.9999957771660527,
                0.9999646437577242,
                0.9999980052709919,
                0.9999980052698029
            ],
            [
                0.9989677689208698,
                0.9924227578216992,
                0.9995694428233817,
                0.9980732655679295,
                0.9975273772740744,
                0.9953904281240237,
                0.9986749777258979,
                0.9993736657524801,
                0.9975273765987224,
                0.9984988176211141
            ],
            [
                0.9999982396574163,
                0.9999852610215426,
                0.9999945777829695,
                0.9999785550413652,
                0.999996273358939,
                0.9999869928668853,
                0.9999852610197849,
                0.9999417087205958,
                0.9999930377420905,
                0.9999962733602716
            ],
            [
                0.999995214903794,
                0.999994577782323,
                0.9999930377429205,
                0.9999982396561571,
                0.9999977396762411,
                0.9999832985841289,
                0.9999977396765105,
                0.999903897607966,
                0.999998005270992,
                0.999996273360716
            ],
            [
                0.9994472212555717,
                0.9991959140502006,
                0.9999151889485612,
                0.9999724642957716,
                0.9999151889586547,
                0.9999945777810303,
                0.9999038975850487,
                0.9999869928684356,
                0.9999869928668836,
                0.9999832985721847
            ],
            [
                0.9997965730268371,
                0.9999910603015648,
                0.0066928512183804115,
                0.9999898700066056,
                0.999796572979015,
                0.9999869928684354,
                0.9998601779595375,
                0.9997388095981592,
                0.9999724643089074,
                0.9998204720558539
            ],
            [
                0.9984988179168888,
                0.9999977396748939,
                0.999860177893621,
                0.9999832985721882,
                0.999995777164542,
                0.9999724643121878,
                0.9998415638217454,
                0.9999810748540473,
                0.9998415637834701,
                0.9999646437408874
            ],
            [
                0.0001584361786580577,
                5.144220135417782e-05,
                7.889262584809997e-06,
                0.017986211738656763,
                1.1478766756214804e-05,
                9.610238026970732e-05,
                2.2603248367656408e-06,
                1.012998977108606e-05,
                1.3007125357378736e-05,
                6.144173868983067e-06
            ],
            [
                0.9999151889283524,
                0.9997388097529262,
                0.9996646500148694,
                0.05340332942318685,
                0.9998911030778981,
                0.999796573050908,
                0.20181322226037882,
                0.9997694933125014,
                0.9999785550515884,
                0.998299277891172
            ],
            [
                0.9999832985721833,
                0.9999910603047617,
                0.9998601779760303,
                0.9999687980960662,
                0.9999646437450999,
                0.9999982396569966,
                0.9999930377404306,
                0.9999546021259442,
                0.9999417087483609,
                0.9999832985841282
            ],
            [
                0.9999038975621907,
                0.9999898700078143,
                0.9999977396746244,
                0.9999980052698029,
                0.9999852610215422,
                0.9999974387168732,
                0.9999810748585277,
                0.9999984465015047,
                0.9999989322966208,
                0.9999251537727241
            ],
            [
                0.9999151889384686,
                0.999769493174852,
                0.9999724643056167,
                0.9998911030517628,
                0.9996200154246125,
                0.9999038975849822,
                0.0007096705424210778,
                0.0013250224948536185,
                0.9999485577802313,
                0.9924227586901189
            ],
            [
                0.010986943713429492,
                0.9999339478238272,
                0.9994472214512541,
                0.9999982396565767,
                0.9999251537727589,
                0.9998766054692472,
                0.0009110513632008218,
                0.9999646437408605,
                0.9999599363030484,
                0.9999756997621728
            ],
            [
                6.605216813542297e-05,
                0.993307149979672,
                0.010986943197311238,
                0.0002959571326638002,
                0.9706877674997134,
                0.0010322311458743376,
                0.9997388096280411,
                0.952574121941844,
                0.00048785716064541387,
                0.0008040860715789599
            ],
            [
                0.9999251537817503,
                0.9706877702556036,
                0.9770226284591782,
                0.9999646437450721,
                0.0015011822443476146,
                0.9999417087206125,
                0.9999756997534811,
                0.957912274637613,
                0.9999921107364741,
                0.997527376616525
            ],
            [
                0.9999938558253983,
                0.9999687980923457,
                0.999941708755328,
                0.9999687980923503,
                0.9999852610127575,
                0.9999756997563752,
                0.9999810748540162,
                0.9999485577679469,
                0.9940889317813107,
                0.9999980052707541
            ],
            [
                0.9999989322966208,
                0.9999984465015048,
                0.9999785550515891,
                0.9999910603026305,
                0.9999785550592568,
                0.9999646437324302,
                0.9999921107345929,
                0.9999810748449929,
                0.9999910603015646,
                0.999975699759268
            ],
            [
                0.9996646498503323,
                0.0011695104131482924,
                0.999841563821259,
                0.9840936098918032,
                0.9924227575940892,
                0.9997040429371107,
                0.20181322226037884,
                0.9999869928653358,
                0.9999151889389165,
                0.9994472214696807
            ],
            [
                0.9999687980849061,
                0.9999990577556307,
                0.9999957771665557,
                0.9999987901344607,
                0.9998601779094406,
                0.9999984465015047,
                0.9998415637077078,
                0.9999687980886298,
                0.9998601778594941,
                0.9999994284994849
            ],
            [
                0.9986749773678891,
                0.010986940748279841,
                0.9999646437366535,
                0.9997388095970496,
                0.9999921107374147,
                0.9999151889485854,
                0.9999832985841289,
                0.00116950999457206,
                0.9840936054308295,
                0.9998601778593477
            ],
            [
                0.9999977396751633,
                0.9999756997534777,
                0.9990889485939898,
                0.029312232659280305,
                0.9999151889792813,
                0.999997097689053,
                0.9999724643023574,
                0.9968273170220256,
                0.9999599363031005,
                0.9997965730759761
            ],
            [
                0.9999962733598274,
                0.9999852610145143,
                0.999998446502801,
                0.9999945777790911,
                0.9993736658317618,
                0.9999984465026158,
                0.9998415638208648,
                0.99994170874838,
                0.9998911031297456,
                0.9999930377437503
            ],
            [
                0.9986749776727513,
                0.9990889486551838,
                0.9989677690333505,
                0.9984988177329676,
                0.9859363707227065,
                0.9986749775373426,
                0.0002611902131261754,
                0.9991959140479558,
                0.0008040860470734006,
                0.9999832985821384
            ],
            [
                0.9999910603068937,
                0.9999151889384845,
                0.9999599362935956,
                0.9999921107336548,
                0.9997388095661343,
                0.9999898700078145,
                0.9999910603047616,
                0.9999977396759716,
                0.9999957771650454,
                0.9999599362982708
            ],
            [
                0.9999952149043646,
                0.9999251537727775,
                0.9999974387177893,
                0.9999869928653331,
                0.9999957771680658,
                0.9999687980923468,
                0.9999945777803838,
                0.9998204719484429,
                0.9999930377445801,
                0.9999038975622536
            ],
            [
                0.9999810748562717,
                0.9999785550464741,
                0.9999989322968754,
                0.9999485577924913,
                0.9999910603058275,
                0.9999952149060757,
                0.9999974387168734,
                0.9999957771665555,
                0.9999038975851507,
                0.9999869928699856
            ],
            [
                0.012431648211944812,
                0.9975273773717018,
                0.9997694931753952,
                0.9964063965973912,
                0.9947798746933411,
                0.9975273769071101,
                0.9999151889284097,
                0.9998415637645353,
                0.9994472212676632,
                0.9046505440982949
            ],
            [
                0.999954602120542,
                0.9999945777803839,
                0.9999994284992805,
                0.999373665974804,
                0.9999938558261307,
                0.999999554914895,
                0.9999687980737564,
                0.9999987901340279,
                0.9999974387171787,
                0.9999996072136125
            ],
            [
                0.9982992773861676,
                0.9999339478396064,
                0.9947798735471515,
                0.9996200154264366,
                0.022977370829961912,
                0.9940889301669023,
                0.9999832985801471,
                0.9998601778928846,
                0.010986944998665253,
                0.9997040430079097
            ],
            [
                0.9968273166958207,
                0.9968273172760679,
                0.9933071503078207,
                0.9933071492305022,
                0.9706877689306563,
                0.9959298629995009,
                0.9940889300027251,
                0.9971990724293867,
                0.0024726235925125323,
                0.9971990723988218
            ]
        ]
    },
    {
        "q_id": "10425_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            104,
            105,
            106,
            107,
            108,
            109,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            66,
            67,
            78,
            103,
            110,
            111
        ],
        "rewards": [
            [
                0.9996646498913104,
                0.9999995549150542,
                0.9999977396757022,
                0.9999980052702786,
                0.9999970976873229,
                0.999999554914895,
                0.9999997300422547,
                0.999999352405279,
                0.9999982396569967,
                0.9999987901338838
            ],
            [
                0.999989870006605,
                0.9999998874648782,
                0.999999694097846,
                0.9999996072137529,
                0.9999996940977001,
                0.9999993524053562,
                0.9999997300420937,
                0.9999987901338839,
                0.9999997617631752,
                0.9999980052702788
            ],
            [
                0.999999554914842,
                0.999997438716568,
                0.9999957771655494,
                0.9999995549150011,
                0.9999852610197855,
                0.9999994956527121,
                0.999999168471675,
                0.9999852610180304,
                0.9999997617631184,
                0.9999885212359813
            ],
            [
                0.9998911030517628,
                0.9999984465022455,
                0.9999980052698029,
                0.9999687980849129,
                0.9999984465024306,
                0.999995214903224,
                0.9999996072139402,
                0.9999785550592593,
                0.9999995549149481,
                0.9999996533675028
            ],
            [
                0.999999730042126,
                0.9999997617631184,
                0.9999998555019446,
                0.9999992661787571,
                0.9999996940977731,
                0.9999992661792819,
                0.9999998724810027,
                0.9999998144609645,
                0.9999957771665555,
                0.9999997897567091
            ],
            [
                0.9999485577924947,
                0.9999967112513267,
                0.03308597481339833,
                0.9999996940977001,
                0.9999998362622552,
                0.9999998555019274,
                0.9999997617631183,
                0.9999930377445807,
                0.9999885212346117,
                0.9999994284994167
            ],
            [
                0.9999997300422225,
                0.9999998874647843,
                0.9999997617630899,
                0.999993855827597,
                0.9999945777803843,
                0.9999989322972574,
                0.9999810748540172,
                0.9999990577554061,
                0.9999998724809116,
                0.999991060305828
            ],
            [
                0.9999990577556309,
                0.9999996940976272,
                0.9999810748449929,
                0.9999998874647574,
                0.9999967112505427,
                0.0035936030107725416,
                0.9999962733593832,
                0.9999989322967482,
                0.9999967112513267,
                0.9999996072136592
            ],
            [
                0.9999996940976272,
                0.9999599362887123,
                0.9999999006880549,
                0.999999266179282,
                0.9999996533672136,
                0.9999996940976636,
                0.9999938558239332,
                0.0007096705304501832,
                0.999999939764251,
                0.9999997897567091
            ],
            [
                0.9669140213729421,
                0.9997694932044838,
                0.0028009265164526953,
                0.9999994956524716,
                0.999999352404893,
                0.9999996533672135,
                0.0013250221547145046,
                0.999998239656367,
                0.01590639235326189,
                0.0003799845188089771
            ],
            [
                0.9999998874647709,
                0.9999997300421581,
                0.999997438717484,
                0.999999694097846,
                0.9999910603015654,
                0.9999990577555186,
                0.9999994956523512,
                0.9999995549150011,
                0.9999980052700407,
                0.999999855502048
            ],
            [
                0.9999974387187069,
                0.9999869928699852,
                0.9999810748427401,
                0.9999996072137998,
                0.9999996533673375,
                0.9999869928668851,
                0.9999687980923468,
                0.9999995549150542,
                0.999989870011436,
                0.0007096702715899579
            ],
            [
                0.9999599362982671,
                0.9999982396572065,
                0.9999977396748938,
                0.9999986290424663,
                0.9999724643154654,
                0.9999996072138465,
                0.9999724643154743,
                0.9999984465020603,
                0.9999869928730858,
                0.9999996533672962
            ],
            [
                0.9999957771645419,
                0.9999599362982811,
                0.99999303774624,
                0.9999998144609202,
                0.9999996533675028,
                0.999999428499553,
                0.9999980052700407,
                0.9999967112497591,
                0.9999996940977001,
                0.9999938558224687
            ],
            [
                0.9999993524049703,
                0.9999910603005006,
                0.9999996072138465,
                0.9999992661786695,
                0.9999994284996891,
                0.9999996940978825,
                0.9999970976880148,
                0.9999885212346119,
                0.9999996533674614,
                0.9999995549151073
            ],
            [
                0.999999789756634,
                0.9999910603015647,
                0.9999987901343166,
                0.9999994284993485,
                0.9999938558261308,
                0.9999945777829699,
                0.9999998144608317,
                0.999999694097846,
                0.9999998724809267,
                0.9999756997505835
            ],
            [
                0.999999653367379,
                0.9999970976873229,
                0.9999974387187054,
                0.9999962733620487,
                0.9999990577552939,
                0.9999938558268631,
                0.9999996072137998,
                0.01798620792233172,
                0.9999994956525917,
                0.9999485577618392
            ],
            [
                0.9999994956525317,
                0.9999996072138934,
                0.9999962733602719,
                0.9999967112493668,
                0.9999994284994168,
                0.9999930377420903,
                0.999999352404893,
                0.9999910602994334,
                0.9999996533673375,
                0.9999974387177893
            ],
            [
                0.9999980052707542,
                0.9999996533674614,
                0.999999912357515,
                0.9999999123574523,
                0.9999996940976636,
                0.9999999123574523,
                0.9999852610233012,
                0.9999998874647709,
                0.9999990577552937,
                0.9999998555020307
            ],
            [
                0.9999994284994167,
                0.9999998144609645,
                0.9999993524052789,
                0.9999994284994167,
                0.9999996533673375,
                0.9999998555020307,
                0.999796573075402,
                0.999999554914895,
                0.9999997300420937,
                0.9740426444505045
            ],
            [
                0.9999994284996211,
                0.9999997300420937,
                0.999999168471675,
                0.9999999468421249,
                0.9999997897565838,
                0.9999993524054335,
                0.9999998144609645,
                0.999999266178932,
                0.9999921107364743,
                0.9999998555020135
            ],
            [
                0.999972464318766,
                0.9999996533674615,
                0.9999945777829697,
                0.9999910603015649,
                0.9997965730994728,
                0.999999266178932,
                0.9999982396567867,
                0.005220125333258333,
                0.9999990577550691,
                0.0035936019703224167
            ],
            [
                0.9999980052705163,
                0.9999992661792819,
                0.9999986290426298,
                0.9999987901341723,
                0.9999998144608098,
                0.9999938558246662,
                0.9999938558246658,
                0.9999995549150542,
                0.9997694933672178,
                0.9999989322967482
            ],
            [
                0.9999991684722697,
                0.9999970976873229,
                0.999999352404893,
                0.015906395152304426,
                0.997527376649259,
                0.9999996940976271,
                0.9999989322973846,
                0.9999977396754327,
                0.9999974387187062,
                0.9999885212264016
            ],
            [
                0.9999992661790195,
                0.9999993524051246,
                0.9999980052707541,
                0.9999996072137998,
                0.9999992661790195,
                0.9999810748585286,
                0.999993855827596,
                0.9999982396572064,
                9.610244922114349e-05,
                0.9999910603036969
            ],
            [
                0.9999930377404309,
                0.9999990577554061,
                0.9999938558268643,
                0.9999980052705163,
                0.9999995549147889,
                0.9999987901344607,
                0.9999910603026316,
                0.9999546021367712,
                0.9999987901347491,
                0.999996273362049
            ],
            [
                0.9999998362623528,
                0.9999994956527721,
                0.9999996072137061,
                0.9999977396757023,
                0.9999994956527721,
                0.9999987901338838,
                0.9999910603005008,
                0.9998911030393602,
                0.9999992661788446,
                0.9999962733598273
            ],
            [
                0.999997438717484,
                0.9999997300422869,
                0.9999910602994333,
                0.9999756997650734,
                0.9999992661790196,
                0.9999974387184002,
                0.9999996533673375,
                0.999998239656367,
                0.9999992661790195,
                0.9999952149032237
            ],
            [
                0.9999986290421394,
                0.9999998724808963,
                0.9999996072136125,
                0.9999999123575568,
                0.9999921107364796,
                0.9999995549150011,
                0.9999910603015651,
                0.9999996533674202,
                0.9999992661792819,
                0.9999996072136593
            ],
            [
                0.9999995549151073,
                0.00033535002715279417,
                0.9999998362623528,
                0.9999998362623722,
                0.9999998555020135,
                0.999704042794832,
                0.9997388097227099,
                0.999999554914789,
                0.9999885212277724,
                0.9999785550490354
            ],
            [
                0.9999977396746245,
                0.9999898700090208,
                0.9999994956527722,
                0.9999989322966208,
                0.9999977396759716,
                0.9999982396561573,
                0.9999785550490348,
                0.9999945777790911,
                0.999995777164542,
                0.9999992661788445
            ],
            [
                0.9999989322973846,
                0.9999995549148419,
                0.9999977396751633,
                0.9999996940978825,
                0.9999989322972572,
                0.9999998724809419,
                0.9999921107392962,
                0.9999999123574523,
                0.9999996533675028,
                0.9999994284997573
            ],
            [
                0.9999996533672136,
                0.9999998362622746,
                0.9999991684715759,
                0.9999989322972572,
                0.9999930377462403,
                0.9999996072137061,
                0.9999982396563669,
                0.9999998555019274,
                0.9999986290429567,
                0.9999991684718732
            ],
            [
                0.99951214292405,
                0.9999910603026306,
                0.9999997617631184,
                0.9999999226557131,
                0.9999986290431201,
                0.9999993524049702,
                0.9999998724808963,
                0.9999996940976636,
                0.99998987000419,
                0.9999996533674202
            ],
            [
                0.0006263340730710421,
                0.02931223165232041,
                0.0002305067667897459,
                0.9999151889689492,
                0.001700722593078791,
                0.0009110509956127816,
                0.9999869928730934,
                0.00037998456793652375,
                0.005220124852052247,
                0.0004305571283953152
            ],
            [
                0.9999997897565587,
                0.999999266178932,
                0.999999730042319,
                0.9999998362623138,
                0.9999994284996211,
                0.9999977396757023,
                0.9999998724810026,
                0.9999997617630616,
                0.9999999226557316,
                0.9999998555019618
            ],
            [
                0.9999980052695652,
                0.999999694097773,
                0.9999996533674201,
                0.9999998362623528,
                0.9999921107374143,
                0.9999997300422547,
                0.9999967112513266,
                0.999999352404893,
                0.9999417087205802,
                0.9999962733602717
            ],
            [
                0.9999999006881377,
                0.9999990577552939,
                0.9999967112513267,
                0.9999996072137998,
                0.9999994284992805,
                0.9999970976876689,
                0.9999970976876692,
                0.999985261023302,
                0.999999057755069,
                0.005911069764690613
            ],
            [
                0.9999989322975118,
                0.9999999006881141,
                0.9999945777790912,
                0.9999996533674201,
                0.9999938558253983,
                0.9999998724809571,
                0.9999952149037944,
                0.9999967112517187,
                0.9999997897567341,
                0.9999998144608981
            ],
            [
                0.9999756997534747,
                0.9999785550439492,
                0.9999962733589388,
                0.999999939764258,
                0.9999984465018751,
                0.9999986290427931,
                0.9999998874647306,
                0.9999995549148419,
                0.9999832985761657,
                0.9999997300421581
            ],
            [
                0.9999998144608981,
                0.9999997300422225,
                0.9999962733598274,
                0.9999994284994849,
                0.9999990577555185,
                0.9999982396567868,
                0.9999938558239334,
                0.9999910603026313,
                0.9999996533675028,
                0.9999996533675028
            ],
            [
                0.9999967112513269,
                0.9999984465024307,
                0.9999952149032235,
                0.9999930377437504,
                0.9999952149060758,
                0.9999485577679679,
                0.9999996940976636,
                0.9999987901338839,
                0.9999945777803838,
                0.9999967112513267
            ],
            [
                0.0005527786757385064,
                0.9999921107364742,
                0.9999996072138465,
                0.0019267343857296048,
                0.9999996533672136,
                0.9999977396765105,
                0.99995993630782,
                0.00010889689611952136,
                0.9999994284996212,
                0.9999974387168733
            ],
            [
                2.7535687785784475e-05,
                2.1444953517061932e-05,
                0.0006263342153117632,
                4.006369210969633e-05,
                3.535626333809042e-05,
                0.00023050682164698816,
                1.8925154999337424e-05,
                0.9999998362623332,
                4.0063677786460955e-05,
                0.0005527785299977103
            ],
            [
                0.9999986290427931,
                0.9999996533674615,
                0.999999887464811,
                0.9999945777829696,
                0.9999996940977366,
                0.9999967112497586,
                0.9999991684718732,
                0.9999930377412606,
                0.9999996940977002,
                0.9999957771655488
            ],
            [
                0.9999990577549568,
                0.999998239656577,
                0.999997438717484,
                0.9890130556996124,
                0.010986940161321984,
                0.9999998144608981,
                0.0024726229401316213,
                0.9999977396751634,
                0.9999945777810302,
                0.9999999397643156
            ],
            [
                0.9999989322966208,
                0.9999999123575987,
                0.9999994956524115,
                0.9999989322973846,
                0.9999990577554062,
                0.9999852610180298,
                0.9999980052709919,
                0.9999957771670589,
                0.9999986290421395,
                0.9998415637729723
            ],
            [
                0.999997438717484,
                0.9999989322973846,
                0.9999997897566089,
                0.9999994956525317,
                0.0011695103898940536,
                0.9999687980923503,
                0.9999999123575045,
                0.999988521227774,
                0.999997097687669,
                0.9999938558268632
            ],
            [
                0.9999998144609644,
                0.9999921107402382,
                0.9999989322975119,
                0.9999995549148419,
                0.9999996072139402,
                0.9999994284995529,
                0.9999997300422225,
                0.9999997617630048,
                0.9999945777829693,
                0.9999938558275956
            ],
            [
                0.9999997897566589,
                0.9999984465022455,
                0.9999967112509347,
                0.9999987901347491,
                0.9999986290432835,
                0.9999970976883609,
                0.9999970976890528,
                0.9999989322971304,
                0.9999962733620487,
                0.9999986290424663
            ],
            [
                0.9999952149060758,
                0.9999998724809267,
                0.9999999123574732,
                0.9999996072138934,
                0.999997438716568,
                0.9999986290432835,
                0.9999994956527121,
                0.9999999317440279,
                0.9999970976890531,
                0.9999997617630332
            ],
            [
                0.9999996533675028,
                0.9999980052695652,
                0.9999977396762411,
                0.9999996940977366,
                0.9999993524054335,
                0.9999998724809267,
                0.9999994956524114,
                0.9999987901343166,
                0.9999989322967482,
                0.9999992661789321
            ],
            [
                0.9999998874649318,
                0.9999997897567091,
                0.9999999123575255,
                0.999999352404893,
                0.9999977396746244,
                0.999997438717484,
                0.9999994956525918,
                0.9999984465026158,
                0.9999997897567341,
                0.9999485577863791
            ],
            [
                0.9999997300421581,
                0.999998005269803,
                0.9999984465018751,
                0.9999930377420905,
                0.999986992869987,
                0.9999998724809723,
                0.9999993524049703,
                0.9999994284994849,
                0.9999997617631469,
                0.0017007221363017485
            ],
            [
                0.9999997300421581,
                0.9999999397642078,
                0.9999977396751633,
                0.9999980052707544,
                0.9999997897566589,
                0.9999996940976271,
                0.9999957771665556,
                0.9999982396559474,
                0.9999990577549568,
                0.9999997617631468
            ],
            [
                0.9999952149043645,
                0.9999996533674201,
                0.9999996072139402,
                0.9999990577555185,
                0.9999967112509347,
                0.9999980052702786,
                0.9999485577863476,
                0.9999997300422547,
                0.9999996533672136,
                0.9999993524054334
            ],
            [
                0.9999997897567342,
                0.005911069485589468,
                0.9999994956524716,
                0.9999989322970028,
                0.9999785550464758,
                0.999999694097773,
                0.9999997300421903,
                0.9999991684722698,
                0.9999974387180947,
                0.9999898700078128
            ],
            [
                0.9999952149049353,
                0.9999546021151405,
                0.9999992661790196,
                0.9999989322970028,
                0.9999997617630617,
                0.9999977396759716,
                0.999999694097846,
                0.9999984465028011,
                0.9999987901344608,
                0.9999980052702793
            ],
            [
                0.9999996533675028,
                0.9999945777797375,
                0.999991060305828,
                0.9999995549147358,
                0.9999994284994167,
                0.9999962733598275,
                0.9999996533675028,
                0.9999996072137061,
                0.9999967112493665,
                0.9999938558232014
            ],
            [
                0.9999938558224686,
                0.9999996072137998,
                0.9999993524054334,
                0.9999994956524716,
                0.9999994284997573,
                0.9999151889384686,
                0.9998766053957163,
                0.999999887464811,
                0.9999957771670593,
                0.999999352404893
            ],
            [
                0.9999984465020603,
                0.9999994956524716,
                0.9999997617631468,
                0.999999352404893,
                0.9999998874648379,
                0.999998629042303,
                0.9999995549147358,
                0.999998932296621,
                0.9999994284993485,
                0.9999991684722697
            ],
            [
                0.9999996533672135,
                0.01590639538555799,
                0.9999898700126442,
                0.9999930377445805,
                0.9999984465022455,
                0.9980732651136988,
                0.999999814460854,
                0.999999653367379,
                0.9999869928668915,
                0.9999810748585316
            ],
            [
                0.9999980052702788,
                0.999999789756684,
                0.9999998144608981,
                0.9999982396561572,
                0.9999938558268632,
                0.9999993524051246,
                0.9999984465018751,
                0.9999995549150542,
                0.999948557780225,
                0.9999998724808964
            ],
            [
                0.9999999123574836,
                0.9999999006881496,
                0.9999999006879721,
                0.9999998874649051,
                0.999997438716568,
                0.9999997897566589,
                0.9999999006881496,
                0.9999998144608317,
                0.9999998724809571,
                0.9999997897565587
            ],
            [
                0.9999952149055054,
                0.9999997897567342,
                0.9999994956524114,
                0.9999990577549568,
                0.9999997300421581,
                0.9999993524052019,
                0.9999991684720715,
                0.9999998724808964,
                0.999997097686977,
                0.999999352404893
            ],
            [
                0.999999730042319,
                0.9999994284996891,
                0.9999982396572064,
                0.9996646498917788,
                0.9999984465016899,
                0.9999989322975118,
                0.9999987901337397,
                0.9999898700041905,
                0.9999984465024306,
                0.9999991684721706
            ],
            [
                0.9999974387177899,
                0.9999967112493665,
                0.9999977396746244,
                0.9999970976887068,
                0.9999987901344609,
                0.9999994956524115,
                0.9999832985801554,
                0.999991060305829,
                0.9999994284992805,
                0.9999994284993485
            ],
            [
                0.999998446502801,
                0.999915188948531,
                0.9999982396569965,
                0.9999994284997574,
                0.9999885212332436,
                0.9999993524050474,
                0.9999998724808963,
                0.9999980052695652,
                0.9999910603004993,
                0.9999945777784449
            ],
            [
                0.9997694933123941,
                0.9999957771650455,
                0.9999997897567341,
                0.9999967112497584,
                0.9999997897566338,
                0.9999910602994339,
                0.9999910602994334,
                0.9999998874648112,
                0.9999994284997573,
                0.9999989322966208
            ],
            [
                0.9999999006880668,
                0.9999998874647842,
                0.99999976176309,
                0.9999997300421583,
                0.9999998362623137,
                0.9999996940977366,
                0.9999994284994849,
                0.9999996072139402,
                0.9999938558224682,
                0.9999930377437506
            ],
            [
                0.9999921107364751,
                0.9999986290426298,
                0.9999998362623137,
                0.9999957771675625,
                0.9999962733589389,
                0.9999938558275954,
                0.999968798096083,
                0.9999485577986083,
                0.9999970976866309,
                0.9999986290427932
            ],
            [
                0.9999996940978825,
                0.9999974387187053,
                0.9999994284994849,
                0.999997097686631,
                0.9999997300422869,
                0.9999996533673375,
                0.9999998555019962,
                0.9999997300420937,
                0.9999998724808963,
                0.9999970976880156
            ],
            [
                0.9999998144609423,
                0.9999997617631183,
                0.9999997617630332,
                0.9999999226557316,
                0.9999999123575046,
                0.9999996072138465,
                0.9999970976880149,
                0.9999993524054335,
                0.9999869928668849,
                0.9999994284992805
            ],
            [
                0.9999997617630049,
                0.9999996940978825,
                0.9999982396572065,
                0.9999991684718732,
                0.9999997617631184,
                0.9999986290421395,
                0.9999992661790196,
                0.9999974387177893,
                0.9999993524053562,
                0.9999998144609202
            ],
            [
                0.9999997617629764,
                0.9999994956527722,
                0.9999987901341723,
                0.9999967112493665,
                0.9999989322967482,
                0.9999996072137998,
                0.9999996072137061,
                0.9999986290423029,
                0.9999993524053562,
                0.9999995549149481
            ],
            [
                0.9999998362622747,
                0.9999938558246657,
                0.9999980052702786,
                0.9999994284996211,
                0.9999982396567867,
                0.9999967112521108,
                0.9999998362622943,
                0.9999991684721706,
                0.9998911030390449,
                0.9999996533672549
            ],
            [
                0.9999957771645419,
                0.9999996533673375,
                0.9999952149049349,
                0.9999952149072167,
                0.9999982396567868,
                0.9999987901347492,
                0.9999994956525318,
                0.9999930377429205,
                0.9999991684720715,
                0.9999994956525918
            ],
            [
                0.9999898700126437,
                0.9999991684720715,
                0.9999993524049703,
                0.9999984465024306,
                0.9999998724809267,
                0.9999997617631183,
                0.9999990577557432,
                0.9999994284992805,
                0.9999994956524716,
                0.9999996072137061
            ],
            [
                0.9999980052709919,
                0.9999938558261311,
                0.9999974387165679,
                0.9999998362622357,
                0.9999832985841293,
                0.9999852610110006,
                0.9999852610162715,
                0.9999998724809267,
                0.9999997300421581,
                0.9999977396757023
            ],
            [
                0.9999992661791944,
                0.9999997617631752,
                0.9999996533672962,
                0.9999957771665557,
                0.9999991684721706,
                0.9999997617629764,
                0.999999653367379,
                0.9999996533674201,
                0.999999730042126,
                0.9999999123574523
            ],
            [
                0.999992110734593,
                0.9999938558246662,
                0.9999810748472494,
                0.9999982396569966,
                0.9999869928668851,
                0.9999984465018751,
                0.9999992661792819,
                0.9999977396754329,
                0.9999987901347492,
                0.9999996940976272
            ],
            [
                0.9999998724810027,
                0.9999999226557131,
                0.9999984465026158,
                0.9999995549149481,
                0.9999724643154663,
                0.9999994956524716,
                0.9999996072137529,
                0.9999921107345938,
                0.9999930377462406,
                0.999996273358939
            ],
            [
                0.9999987901343165,
                0.9999991684719723,
                0.9999994956527121,
                0.9999982396567867,
                0.9999756997679662,
                0.999997438716568,
                0.9999992661789321,
                0.9999987901346049,
                0.9999998555019274,
                0.9999994284994167
            ],
            [
                0.9999998874649184,
                0.9999998874647306,
                0.9999996072137998,
                0.9999810748449955,
                0.9999984465020603,
                0.9999993524049703,
                0.9999993524053563,
                0.9999998362622746,
                0.9999994956525918,
                0.9999982396567868
            ],
            [
                0.9999952149060758,
                0.9999994956527121,
                0.9999991684720715,
                0.9999999317439872,
                0.9999984465015047,
                0.9999994284994848,
                0.9999991684715759,
                0.9999998874647709,
                0.9999998144609202,
                0.9999998724809571
            ],
            [
                0.9999999317440035,
                0.999997438716568,
                0.9999999006881141,
                0.9999852610180293,
                0.9999998874648782,
                0.9999967112517189,
                0.9999990577551815,
                0.9999998555019446,
                0.9999998724809723,
                0.9999994956525918
            ],
            [
                0.9999785550592574,
                0.999999855502048,
                0.99999992265575,
                0.9999938558232012,
                0.9999998144608097,
                0.999999554914842,
                0.9999996940978825,
                0.9999921107383554,
                0.9999980052693275,
                0.9999998144609645
            ],
            [
                0.9999930377445804,
                0.9999996072137061,
                0.9999984465018751,
                0.9999998144609424,
                0.9999998144609202,
                0.9999987901337396,
                0.9999996072137529,
                0.9999996940976636,
                0.9999995549149481,
                0.99999976176309
            ],
            [
                0.9999990577549568,
                0.9999986290421394,
                0.999941708741432,
                0.9999991684720715,
                0.9999999123575777,
                0.9999991684719723,
                0.9999980052693275,
                0.9999996533672549,
                0.999995214904365,
                0.9999974387184001
            ],
            [
                0.9999980052707543,
                0.9999962733593835,
                0.9999996533673375,
                0.9999986290423029,
                0.9999930377404307,
                0.9999970976880149,
                0.9999997300421903,
                0.99999976176309,
                0.9999999006880785,
                0.9999970976883608
            ],
            [
                0.9999991684715759,
                0.9999984465022456,
                0.9999998874649184,
                0.9999967112521109,
                0.9999810748517607,
                0.9999997897565838,
                0.9999996072136593,
                0.9999980052700409,
                0.9999957771655487,
                0.9999986290427931
            ],
            [
                0.9999785550541436,
                0.9999996072137998,
                0.9999994956527121,
                0.9999998362623528,
                0.9999999006881496,
                0.9999998144608097,
                0.9999998144608981,
                0.9999993524050474,
                0.9999997897565838,
                0.9999990577555185
            ],
            [
                0.9999996533675028,
                0.999998629042303,
                0.9999724642990753,
                0.9999989322973846,
                0.9999996533674617,
                0.9999990577551815,
                0.9999485577863596,
                0.9999993524052018,
                0.999999168471675,
                0.9999977396762411
            ],
            [
                0.9999485578047517,
                0.999983298578157,
                0.999998239656577,
                0.999999057755743,
                0.9999994956523514,
                0.9999992661792819,
                0.9999785550592568,
                0.9999952149049349,
                0.9999810748427593,
                0.9986749775504367
            ],
            [
                0.9999996533672135,
                0.9999930377429219,
                0.9999724642957865,
                0.999999266178757,
                0.999988521231875,
                0.9999984465016899,
                0.999999814460854,
                0.9999992661791071,
                0.999999495652652,
                0.9999984465022455
            ],
            [
                0.9999987901347491,
                0.9999977396751633,
                0.9999997300422868,
                0.9999756997679643,
                0.9999992661791944,
                0.9999980052709918,
                0.9999995549147889,
                0.99997246431876,
                0.9999967112509347,
                0.9999977396748938
            ],
            [
                0.9999952149060758,
                0.9999974387177893,
                0.9999986290432834,
                0.9999989322972572,
                0.9999898700126433,
                0.9999996072136125,
                0.9999997300422547,
                0.9999910603058279,
                0.9999885212346117,
                0.9999984465026158
            ],
            [
                0.9999974387171787,
                0.005911067707004045,
                0.9992903297239932,
                0.9999994956523514,
                0.9999038976194506,
                0.9999984465016899,
                0.9999938558261308,
                0.9999546021368069,
                0.999975699762164,
                0.9999970976873229
            ],
            [
                0.9999898700053996,
                0.9999989322967482,
                0.9999995549150542,
                0.9999997300421903,
                0.9999997897567091,
                0.9999997897565587,
                0.9999996940978095,
                0.9999998555019274,
                0.9999970976873229,
                0.9999967112513266
            ],
            [
                0.999796573050908,
                0.9999995549149481,
                0.999975699753474,
                0.9999991684722697,
                0.9998766054699474,
                0.9999980052693275,
                0.9999810748495086,
                0.9999952149066464,
                0.9999991684719725,
                0.9999785550464758
            ],
            [
                0.9999986290429568,
                0.9999997897565838,
                0.9999996533672549,
                0.9999938558261331,
                0.9999997617631184,
                0.999998629042303,
                0.999999814460876,
                0.9999995549147889,
                0.9999996533675028,
                0.9999995549149481
            ],
            [
                0.9999998724809723,
                0.9999970976880149,
                0.9999974387171787,
                0.9999997300421903,
                0.9999994284996211,
                0.9999970976880148,
                0.9999982396565767,
                0.9999994284994848,
                0.999954602115151,
                0.9999967112513266
            ],
            [
                0.9999994284992805,
                0.9999785550464753,
                0.9999984465024306,
                0.9999952149043646,
                0.9999997897566589,
                0.9999984465022455,
                0.9999974387187053,
                0.9999991684719725,
                0.99999992265575,
                0.9999724642990628
            ],
            [
                0.9999993524052019,
                0.9999810748540177,
                0.9999996940978825,
                0.9999997300421581,
                0.9999996072136592,
                0.9999991684720715,
                0.9999995549149481,
                0.9999996533673788,
                0.9999898700041909,
                0.9999997617631183
            ],
            [
                0.9999974387165681,
                0.9999991684718732,
                0.9999998555020307,
                0.9999996072137529,
                0.9999785550566994,
                0.9999251537638378,
                0.99999862904312,
                0.9999485577924947,
                0.9999852610127579,
                0.9999991684719723
            ],
            [
                0.9999997617630332,
                0.9999999006880075,
                0.9999991684722698,
                0.9999996072136125,
                0.9999999123574628,
                0.9999999123575464,
                0.9999996533673788,
                0.9999996940977366,
                0.9999995549148419,
                0.9999998724810027
            ],
            [
                0.9999997617631184,
                0.9999993524052019,
                0.9999997617630049,
                0.9999987901338838,
                0.9999990577556307,
                0.9999996072136592,
                0.9999996072137061,
                0.9999997300421903,
                0.9999995549150542,
                0.9999994956523514
            ],
            [
                0.9999832985721847,
                0.9999339478474997,
                0.999995777164542,
                0.9999724643089025,
                0.9999599362887218,
                0.9999989322975118,
                0.9999984465028011,
                0.9998911031037632,
                0.9997388097232875,
                0.015906393723626407
            ],
            [
                0.9999997897565838,
                0.9999990577554061,
                0.9999987901344607,
                0.9999996533675028,
                0.9999982396569966,
                0.9999994284993486,
                0.9999982396567868,
                0.9999998144608317,
                0.9999996940976636,
                0.9999995549149481
            ],
            [
                0.9999997897567091,
                0.9999997897565838,
                0.9999999006880075,
                0.9999996940978095,
                0.999999653367503,
                0.9999998362622943,
                0.9999998362623528,
                0.9999998362623334,
                0.9999991684720715,
                0.9999997617630616
            ],
            [
                0.9999982396567867,
                0.9999982396569966,
                0.9999785550515884,
                0.9999151889283443,
                0.9999996533672962,
                0.9999977396762413,
                0.9999993524051246,
                0.03308597731611235,
                0.9999991684720715,
                0.999975699750582
            ],
            [
                0.9999945777816769,
                0.9999810748540158,
                0.015906391770128092,
                0.9999869928668836,
                0.9999898700126431,
                0.9999998362622746,
                0.9999997617629764,
                0.9999852610127582,
                0.999999352405279,
                0.9999980052709919
            ],
            [
                0.9999997617630332,
                0.9999998874648246,
                0.9999999123575672,
                0.9999996533672135,
                0.9999998874648245,
                0.9999930377454104,
                0.9999994956525318,
                0.9999977396746244,
                0.9999989322972572,
                0.9999957771680656
            ],
            [
                0.9999995549150011,
                0.9999997617630899,
                0.0008040858490647686,
                0.9999945777784449,
                0.9999984465020603,
                0.9999996533672135,
                0.9999910603026303,
                0.9999417087553089,
                0.9999962733607158,
                0.9999997300420937
            ],
            [
                0.9986749773993151,
                0.999999814460854,
                0.999999554914842,
                0.9997388097149659,
                0.9999977396757023,
                0.9999995549149481,
                0.9999974387184,
                0.9999646437619519,
                0.9999810748540408,
                0.999995777168066
            ],
            [
                0.999999653367503,
                0.9999994956523514,
                0.9998766054547727,
                0.00043055708714895616,
                0.9993736659027729,
                0.999373665916873,
                0.9999599362934974,
                0.1066905911052601,
                0.9999967112505427,
                0.999997438717484
            ],
            [
                0.9999977396765105,
                0.999999855502048,
                0.9999952149055054,
                0.9999997617630616,
                0.9999885212318746,
                0.9999339478475102,
                0.9999998144609423,
                0.9999997300422547,
                0.9999997617630899,
                0.9999967112505427
            ],
            [
                0.9999991684718732,
                0.999933947863201,
                0.9999930377420916,
                0.9999991684719725,
                0.9999989322970027,
                0.9999980052707541,
                0.9999986290424663,
                0.9999982396574163,
                0.999999814460876,
                0.9999990577550693
            ],
            [
                0.999999789756634,
                0.9999982396569966,
                0.9999970976883608,
                0.999985261021544,
                0.9999992661790196,
                0.9999999006881259,
                0.9999998362622747,
                0.9999980052707541,
                0.9999991684720715,
                0.9999952149072171
            ],
            [
                0.9999997617630616,
                0.9999989322966208,
                0.9999996940977731,
                0.9999997897565838,
                0.9999997300422225,
                0.9999986290429566,
                0.9999990577554061,
                0.9999990577557432,
                0.9999996940976272,
                0.9999997617630332
            ],
            [
                0.9999995549149481,
                0.999998790134028,
                0.999999352405279,
                0.9999996072137061,
                0.005911067613970361,
                0.9999646437408605,
                0.9999977396754327,
                0.9999756997592878,
                0.9999997897565587,
                0.9999995549147889
            ],
            [
                0.9998601778930861,
                0.9999785550541518,
                0.9999998144609202,
                0.9999982396569966,
                0.9999785550516015,
                0.9999998362623723,
                0.9999986290421394,
                0.9999977396759717,
                0.9999962733602719,
                0.9999993524052019
            ],
            [
                0.999999168471675,
                0.999999730042319,
                0.9999945777829696,
                0.9999991684717742,
                0.9999982396563669,
                0.999981074842739,
                0.9999995549147359,
                0.9999930377404314,
                0.9999989322971299,
                0.9999990577555185
            ],
            [
                0.9999998724810026,
                0.9999994956527722,
                0.999999266179282,
                0.9999998362623137,
                0.9999992661788446,
                0.9999984465015046,
                0.9999995549150542,
                0.9999998555020307,
                0.9999998874647441,
                0.999999789756634
            ],
            [
                0.9890130585939225,
                5.829124463044478e-05,
                0.9999952149049351,
                0.015906388475422514,
                0.005911069190070622,
                0.9999994956527121,
                0.9999810748562977,
                0.14804719427274568,
                0.9999994956523514,
                1.300713001414004e-05
            ],
            [
                0.9999991684717742,
                0.999999855502048,
                0.9999989322975119,
                0.9999997897566089,
                0.999999855502048,
                0.9999957771650457,
                0.9999998144608319,
                0.9999999226557961,
                0.9999999468421629,
                0.9999996533674202
            ],
            [
                0.9990889487200867,
                0.996827317623627,
                5.829129329168791e-05,
                0.9995694429625396,
                0.00043055708781280583,
                0.029312234037225486,
                0.01406362956139207,
                0.002472623537956024,
                0.006692850264891708,
                0.9990889487939433
            ],
            [
                0.9999997300420937,
                0.9999998362622357,
                0.9999974387171787,
                0.9999957771650454,
                0.9999994284996211,
                0.999999653367379,
                0.9999980052709919,
                0.9999994956524115,
                0.9999967112521109,
                0.999997438716568
            ]
        ]
    },
    {
        "q_id": "10478_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.8925155003330605e-05,
                5.422217030614265e-06,
                5.422217677028889e-06,
                3.288749849368453e-06,
                1.3007133114602719e-05,
                1.300712380997554e-05,
                7.889266345584138e-06,
                8.93969630333567e-06,
                6.60521750800108e-05,
                8.939694171135975e-06
            ],
            [
                3.1201918794144304e-05,
                1.0129987355785634e-05,
                3.2887490653408545e-06,
                7.889259763728304e-06,
                3.288747889178668e-06,
                8.481108132205654e-05,
                4.006368737181739e-05,
                8.939693105662367e-06,
                7.88925976418034e-06,
                4.785093923916815e-06
            ],
            [
                1.8925157257965367e-05,
                3.1201918798457626e-05,
                1.4738978454172926e-05,
                1.8925148238291944e-05,
                2.430024941804299e-05,
                7.889261644982674e-06,
                5.4222202621161125e-06,
                0.00026119028849951704,
                8.481101528264918e-05,
                3.120191508060445e-05
            ],
            [
                2.14449458497871e-05,
                2.4300249409733237e-05,
                7.484626278192885e-05,
                1.4738987242700688e-05,
                7.484620931490225e-05,
                2.1444945852673643e-05,
                8.939696303758459e-06,
                5.422220908703723e-06,
                2.4300252315495453e-05,
                2.4300243627117176e-05
            ],
            [
                1.553498495281783e-06,
                2.2603251061849014e-06,
                6.962257079173776e-06,
                6.144175333401224e-06,
                1.1478769493331685e-05,
                2.5612816000145246e-06,
                2.2603234894745224e-06,
                8.315282258900085e-07,
                8.315283250082584e-07,
                6.962254589617333e-06
            ],
            [
                6.9622562481627565e-06,
                6.144173868983067e-06,
                1.892515274614874e-05,
                1.300713311517055e-05,
                6.962255419570695e-06,
                1.4738987241494252e-05,
                2.1444940743225995e-05,
                4.785093924251918e-06,
                5.422218969306048e-06,
                2.1444950963097686e-05
            ],
            [
                2.4300246521474893e-05,
                3.7266379513162962e-06,
                3.120190392137216e-05,
                1.4738978454172926e-05,
                8.939699498099386e-06,
                1.3007130010922344e-05,
                2.7535687799708318e-05,
                1.1478769491306371e-05,
                1.1478770861650256e-05,
                6.1441746018123775e-06
            ],
            [
                3.1201922525618933e-05,
                2.430024941459533e-05,
                1.0129995807939249e-05,
                4.222833946845163e-06,
                1.0129988562661878e-05,
                2.753569108693614e-05,
                1.8925155002710973e-05,
                3.535624225509145e-05,
                0.00010889686974417332,
                2.7535704219423216e-05
            ],
            [
                1.7603440526662173e-06,
                6.962255419380732e-06,
                3.726638395527247e-06,
                3.2887478892055875e-06,
                7.889261644982674e-06,
                1.994729959270648e-06,
                1.0129987356191011e-05,
                1.1478770861650256e-05,
                2.4300243624818735e-05,
                4.222834451292594e-06
            ],
            [
                1.0129988563914856e-05,
                7.889259763857458e-06,
                2.1444956072586775e-05,
                1.3007126910294786e-05,
                4.53978577239917e-05,
                7.889259764079887e-06,
                6.144175333401224e-06,
                5.144219518617526e-05,
                1.8925155000025902e-05,
                1.892514822538295e-05
            ],
            [
                3.5356267511063545e-05,
                6.605216825123819e-05,
                1.8925155002022494e-05,
                0.00010889694783239789,
                4.539786319306454e-05,
                9.610246058755327e-05,
                5.14422013436982e-05,
                1.8925157262061825e-05,
                0.00017952802886397372,
                1.3007130009313495e-05
            ],
            [
                1.670142979875954e-05,
                6.605217610793098e-05,
                1.4738981964843453e-05,
                2.144495862967221e-05,
                0.9996646498513665,
                4.78509563546605e-06,
                3.120190763332158e-05,
                0.999447221295287,
                1.67014238321306e-05,
                6.605215227306636e-05
            ],
            [
                1.4738981967202704e-05,
                1.0129992185060374e-05,
                2.9023123310580418e-06,
                2.7535700904947163e-05,
                1.3007126911974612e-05,
                6.144173869379821e-06,
                4.785096205582214e-06,
                8.939699500489763e-06,
                6.962256249758443e-06,
                1.300713466281145e-05
            ],
            [
                4.7850933534310035e-06,
                7.889263525261671e-06,
                1.0129990977262395e-05,
                1.8925152749659986e-05,
                1.1478768125577027e-05,
                1.0129987356541108e-05,
                1.89251527371985e-05,
                1.0129995809929273e-05,
                1.1478766755734576e-05,
                1.1478769488257963e-05
            ],
            [
                4.7850944943330625e-06,
                8.939696301384342e-06,
                1.6701417847458553e-05,
                1.7603430031766016e-06,
                3.288750633569722e-06,
                4.7850933529174686e-06,
                1.1478764018827141e-05,
                1.6701419848961534e-05,
                4.7850950649408664e-06,
                2.4300240728162926e-05
            ],
            [
                3.2887482807780376e-06,
                1.2098658276444443e-06,
                7.889261639177951e-06,
                4.7850933535659155e-06,
                6.144173136645595e-06,
                4.0063677765182186e-05,
                1.8925148227861472e-05,
                4.785095635017795e-06,
                8.939698431389304e-06,
                4.222833444283541e-06
            ],
            [
                1.0129989769464556e-05,
                7.889259763469998e-06,
                7.889260704050487e-06,
                1.147876949187012e-05,
                1.0129992186387057e-05,
                4.785094494628999e-06,
                5.422221554847581e-06,
                8.93969417199781e-06,
                6.144175333021237e-06,
                5.8291279342183934e-05
            ],
            [
                0.9998601779261898,
                0.9997040430175884,
                0.9999251537374004,
                0.9998911030391019,
                0.999903897608854,
                0.9999339478318334,
                0.99995460213681,
                0.9997040428707548,
                0.9998766054696584,
                0.9995694428692249
            ],
            [
                5.422220908634683e-06,
                6.144173136455602e-06,
                8.939697367703906e-06,
                2.9023133687786197e-06,
                1.3007126910294786e-05,
                1.6701419849447602e-05,
                7.889260704179641e-06,
                3.7266392838544054e-06,
                5.422220908634683e-06,
                2.5612812944118885e-06
            ],
            [
                4.006371128012683e-05,
                6.962253759271479e-06,
                1.6701427813872793e-05,
                0.00015843629057711272,
                1.1478765385746131e-05,
                2.753568781022632e-05,
                4.0063706471413514e-05,
                1.8925154994724604e-05,
                1.6701425824733193e-05,
                0.00015843629174353693
            ],
            [
                1.4738988997044936e-05,
                3.2887482811220126e-06,
                3.535626757125808e-05,
                8.939693106987645e-06,
                6.144176066521288e-06,
                2.9023109470871505e-06,
                1.4738976699749503e-05,
                2.753568451748946e-05,
                1.6701423833011596e-05,
                8.939700566435704e-06
            ],
            [
                7.889265406294507e-06,
                1.300713466619476e-05,
                2.7535694360340682e-05,
                6.962259569313662e-06,
                2.4300232011058275e-05,
                1.892515725376564e-05,
                4.006369693691754e-05,
                3.120191877428034e-05,
                4.7850939230116e-06,
                2.4300232032009452e-05
            ],
            [
                9.610240315213426e-05,
                1.892515726357648e-05,
                3.535626333461766e-05,
                1.6701425825492673e-05,
                0.0001233945597162651,
                6.60521760915919e-05,
                5.144221974590828e-05,
                1.8925143722381014e-05,
                2.144494585197151e-05,
                1.892514372640862e-05
            ],
            [
                6.605213641023297e-05,
                2.144494329192304e-05,
                3.2887506334201674e-06,
                5.829126545587422e-05,
                1.0677027426262978e-06,
                1.3007130011300897e-05,
                7.88926633625639e-06,
                1.3007126910294786e-05,
                4.785096776251149e-06,
                2.4300237810821485e-05
            ],
            [
                2.5612825156159896e-06,
                2.5612825156159896e-06,
                1.30071346612026e-05,
                3.72664017246987e-06,
                3.1201918796982014e-05,
                1.994729721469003e-06,
                6.962257079629686e-06,
                7.889263525534328e-06,
                6.962257079465052e-06,
                7.889264466115267e-06
            ],
            [
                2.4300252306390083e-05,
                1.6701415864001047e-05,
                1.0129994597524319e-05,
                8.939697368663308e-06,
                1.0129990976728036e-05,
                1.6701415866188347e-05,
                1.300712846217e-05,
                2.14449535222109e-05,
                1.8925152738024674e-05,
                6.144173868670137e-06
            ],
            [
                2.561283126502453e-06,
                2.5612819053586272e-06,
                1.892514146086307e-05,
                5.422221554758815e-06,
                5.4222176755001384e-06,
                8.93969310647542e-06,
                2.7535694283609302e-05,
                1.1478764018012839e-05,
                2.5612822106421996e-06,
                1.0129993392600532e-05
            ],
            [
                4.222833443968609e-06,
                3.1201911361276113e-05,
                4.785093353274332e-06,
                4.785096205434246e-06,
                1.5534977545603963e-06,
                6.962257909121104e-06,
                6.9622545892184106e-06,
                1.0129988563546333e-05,
                6.144173865552e-06,
                7.889265406151004e-06
            ],
            [
                4.222832941034507e-06,
                2.9023112930949896e-06,
                6.144177531532303e-06,
                3.726638395527247e-06,
                4.785095634121282e-06,
                1.6701425819447213e-05,
                4.7850933538313875e-06,
                1.994730434778778e-06,
                5.422220261652556e-06,
                1.9947304348595095e-06
            ],
            [
                6.144173136885882e-06,
                4.222832437324657e-06,
                1.47389819699641e-05,
                2.2603234894745224e-06,
                7.8892654060075e-06,
                1.0129989769962063e-05,
                1.0129995808639442e-05,
                5.4222215552470286e-06,
                1.3007131558917768e-05,
                3.7266392839832006e-06
            ],
            [
                7.484620005287151e-05,
                4.00636825989602e-05,
                1.1478773595343877e-05,
                1.8925143724239906e-05,
                1.1478772230407462e-05,
                8.939696302457574e-06,
                1.3007126910649678e-05,
                3.726640172290235e-06,
                1.4738981966291175e-05,
                6.962257908753841e-06
            ],
            [
                1.0129995809044816e-05,
                1.7603432132912532e-06,
                1.3007133108948093e-05,
                8.93970056399654e-06,
                8.939700566565793e-06,
                1.1478769493331685e-05,
                3.2887494572873306e-06,
                4.222834954561012e-06,
                1.0129988563343644e-05,
                7.889265406567165e-06
            ],
            [
                3.120191506868607e-05,
                6.962257909121104e-06,
                6.962255419279419e-06,
                4.78509506499309e-06,
                1.6701425822059825e-05,
                2.1444958633416914e-05,
                2.4300240719941574e-05,
                1.3007131563176482e-05,
                1.1478769491598686e-05,
                7.88926634644516e-06
            ],
            [
                8.939697358126137e-06,
                1.0129995809044816e-05,
                3.726639728262097e-06,
                6.962259569313662e-06,
                7.338210679909462e-07,
                2.902312330849511e-06,
                3.535625488384697e-05,
                2.9023119845142345e-06,
                3.2887482811908074e-06,
                7.88925976397226e-06
            ],
            [
                3.7266388398585725e-06,
                5.422221555133606e-06,
                3.2887498493983645e-06,
                3.726637951170554e-06,
                6.144175333926503e-06,
                1.2098658277451275e-06,
                1.4738988995838502e-05,
                1.5534984953199313e-06,
                2.561283431916622e-06,
                2.2603251058292572e-06
            ],
            [
                6.962259569003389e-06,
                0.9995121429409095,
                3.120191880118183e-05,
                1.6701415864001047e-05,
                1.4738980209829803e-05,
                1.1478773598099973e-05,
                4.006368737677271e-05,
                0.9996646499805648,
                2.1444948403750736e-05,
                4.22283193393364e-06
            ],
            [
                7.889260704308795e-06,
                2.1444950963097686e-05,
                8.939698434332555e-06,
                4.785092783210732e-06,
                1.4738976697631541e-05,
                2.5612812946890944e-06,
                1.4738987242137685e-05,
                1.4738985485461206e-05,
                1.0129992183991656e-05,
                3.288750241500471e-06
            ],
            [
                1.5534975693792215e-06,
                5.42221767672807e-06,
                1.0129987356375273e-05,
                6.144173869072478e-06,
                6.144176066353646e-06,
                2.9023119850527192e-06,
                1.1478766755734576e-05,
                2.9023123309973302e-06,
                5.422217029943586e-06,
                5.8291272412811914e-05
            ],
            [
                1.3007125360478133e-05,
                1.3007133115430804e-05,
                5.8291258534985854e-05,
                1.1478770861211786e-05,
                5.1442219704738336e-05,
                7.889263525893087e-06,
                6.144176798479122e-06,
                5.1442207485876726e-05,
                1.1478765386623071e-05,
                6.605216816041215e-05
            ],
            [
                8.939698433145498e-06,
                6.144173135483279e-06,
                2.4300232032009452e-05,
                3.5356259116499136e-05,
                5.422217676979575e-06,
                1.6701429805655623e-05,
                7.889261644875049e-06,
                1.3007134665674251e-05,
                1.4738985483128763e-05,
                1.1478766755985128e-05
            ],
            [
                2.430024362791279e-05,
                0.9997965730760205,
                0.9999038975509837,
                0.9964063980546883,
                3.535623800829303e-05,
                2.4300246521474893e-05,
                0.9964063982205934,
                0.9998415637137105,
                1.1478769492893215e-05,
                0.9933071501251719
            ],
            [
                3.288750241410738e-06,
                3.2887498493983645e-06,
                1.6701425825128124e-05,
                6.962257079275089e-06,
                1.4738985482753428e-05,
                6.144173136455602e-06,
                3.2887490652451393e-06,
                8.939698433584547e-06,
                6.1441760661636525e-06,
                1.4738978456049602e-05
            ],
            [
                4.0063711189764875e-05,
                5.829129308260648e-05,
                2.144495096161541e-05,
                5.144223203214182e-05,
                NaN,
                0.00017952792078957793,
                5.8291286249927666e-05,
                4.5397890252070155e-05,
                2.7535700933696396e-05,
                2.7535700932494338e-05
            ],
            [
                7.88926258532661e-06,
                3.5356250681935664e-05,
                6.962258739169842e-06,
                4.006369690499937e-05,
                2.144494329496561e-05,
                6.144173136645595e-06,
                7.889266346129453e-06,
                1.3007134665674251e-05,
                1.6701417859944398e-05,
                5.422220908018252e-06
            ],
            [
                0.0001398220226676376,
                2.144495607640949e-05,
                3.120191878949046e-05,
                1.8925143726890553e-05,
                2.1444953517061932e-05,
                2.753570421601738e-05,
                3.5356246478738656e-05,
                1.8925154997134284e-05,
                6.962259564532931e-06,
                4.006368738595465e-05
            ],
            [
                1.3007128457958606e-05,
                1.300713001414004e-05,
                1.4738978455701077e-05,
                7.889262585441413e-06,
                8.93969630348202e-06,
                6.962253758017727e-06,
                1.6701425819994037e-05,
                1.0129988557686814e-05,
                5.422217676925328e-06,
                2.1444940737257882e-05
            ],
            [
                0.00013982210674915566,
                4.5397852346412016e-05,
                1.1478773591543802e-05,
                1.4738978455325741e-05,
                4.006368258380272e-05,
                5.8291258507843456e-05,
                4.0063706494441236e-05,
                8.481102096116742e-05,
                1.3007133114318805e-05,
                2.753569764115831e-05
            ],
            [
                4.22283394786293e-06,
                7.88925976397226e-06,
                7.889261644982674e-06,
                4.006369683300133e-05,
                1.3007125363057018e-05,
                1.0129987354882753e-05,
                3.726640616670918e-06,
                6.144176066672166e-06,
                4.785094494576774e-06,
                7.48462538226543e-05
            ],
            [
                1.0129993393945642e-05,
                2.7535697624529836e-05,
                1.6701421805321264e-05,
                0.0002959571990885756,
                7.889260704050487e-06,
                8.939697369004791e-06,
                4.222832940834793e-06,
                2.4300246519706854e-05,
                1.4738983719053027e-05,
                1.3007123808910861e-05
            ],
            [
                2.430023203572232e-05,
                3.120190759915557e-05,
                2.753569109254574e-05,
                1.1478773594675732e-05,
                6.9622579095833456e-06,
                6.605214441493472e-05,
                1.3007125361755747e-05,
                1.6701421840318107e-05,
                6.144173868670137e-06,
                5.1442231976000976e-05
            ],
            [
                1.892515274546026e-05,
                7.88926164518358e-06,
                7.889262584809997e-06,
                1.4738983725406915e-05,
                1.4738983726559732e-05,
                2.75357042110088e-05,
                1.8925150490206403e-05,
                6.962259569117366e-06,
                1.67014178590634e-05,
                3.2887502414436403e-06
            ],
            [
                0.9770226277901336,
                0.9997965729333151,
                1.4738978454172926e-05,
                6.962257908880483e-06,
                6.962258737650141e-06,
                1.5534981249397663e-06,
                3.726640172385136e-06,
                4.785093923916815e-06,
                5.42222155426567e-06,
                6.144177531007026e-06
            ],
            [
                2.2603245673155757e-06,
                1.0129987353832463e-05,
                8.939695236983711e-06,
                5.422221555069497e-06,
                8.939698434820389e-06,
                2.2603234894560207e-06,
                1.9947299592570416e-06,
                3.726641060956752e-06,
                3.2887478891487563e-06,
                6.962259568648793e-06
            ],
            [
                1.6701423831188846e-05,
                2.4300249406550775e-05,
                5.144222577580734e-05,
                1.3007126898133793e-05,
                8.481108161082634e-05,
                1.0129988562901417e-05,
                6.144172404028807e-06,
                7.889263525778283e-06,
                5.422218323349895e-06,
                1.4738987238464762e-05
            ],
            [
                3.726640616423495e-06,
                7.889262585541864e-06,
                4.006368730943852e-05,
                1.4738980212644815e-05,
                7.889259764079887e-06,
                1.0129992184544441e-05,
                3.120190018524592e-05,
                5.1442225844299154e-05,
                8.939699500164542e-06,
                1.6701429800582296e-05
            ],
            [
                1.6701415866188347e-05,
                2.144495351940237e-05,
                5.144223799018203e-05,
                1.3007128460797749e-05,
                1.4738985484871391e-05,
                3.120190763922401e-05,
                1.67014178590634e-05,
                4.539786311280214e-05,
                1.3007134663876127e-05,
                1.012998856312253e-05
            ],
            [
                2.1444956082767684e-05,
                1.0129987355988324e-05,
                4.785095635592258e-06,
                6.962255419279419e-06,
                6.144173869502757e-06,
                6.14417533430649e-06,
                4.006370170554982e-05,
                1.760344052693435e-06,
                1.012999460150437e-05,
                6.962258739068529e-06
            ],
            [
                0.9995121427755776,
                5.4222196154940574e-06,
                2.1444950966608343e-05,
                0.9980732653984604,
                0.9998204721004774,
                0.9999038975764013,
                0.9997694932333444,
                5.8291244578280495e-05,
                0.0003353502638796249,
                2.4300243622255085e-05
            ],
            [
                1.994729245842213e-06,
                1.8925141470949294e-05,
                3.726640172537657e-06,
                4.7850944942634305e-06,
                1.7603438428188364e-06,
                3.7266401721817755e-06,
                1.8925157254522964e-05,
                5.422220262264056e-06,
                4.785093353626844e-06,
                6.144176066521288e-06
            ],
            [
                6.962257079173776e-06,
                3.120191879561992e-05,
                1.1478772229300848e-05,
                8.93969950000193e-06,
                3.535625068386498e-05,
                4.785092783210732e-06,
                1.5534977545497995e-06,
                4.222834451292594e-06,
                1.0129994600398803e-05,
                1.670142781086525e-05
            ],
            [
                6.144177530425867e-06,
                3.535625491265802e-05,
                1.670142980380249e-05,
                1.1478769489009626e-05,
                1.6701425820540864e-05,
                2.144494328950459e-05,
                1.4738976698757546e-05,
                8.939695237666677e-06,
                3.120191879561992e-05,
                4.0063701710213663e-05
            ],
            [
                NaN,
                6.605215250517728e-05,
                4.5397874023865346e-05,
                5.829127939986156e-05,
                4.785096776303374e-06,
                8.93969630362837e-06,
                2.7535694366751658e-05,
                1.0129989771288745e-05,
                1.89251527491092e-05,
                3.120190392137216e-05
            ],
            [
                0.00013982202088143992,
                4.006368261266023e-05,
                5.422220262264056e-06,
                1.3007134661628471e-05,
                5.14422074608005e-05,
                8.939698433974813e-06,
                1.3007123809289414e-05,
                1.8925150489517924e-05,
                2.7535684476018467e-05,
                3.120191880504111e-05
            ],
            [
                0.9999785550490721,
                0.9999417087349836,
                0.9997040428328235,
                0.9999785550516243,
                0.9999151889388597,
                0.9999251537372409,
                0.9999339478399077,
                2.4300252297461515e-05,
                0.9998601778602713,
                0.9999251537845738
            ],
            [
                1.4738985483879434e-05,
                8.939698434966738e-06,
                6.962257908880483e-06,
                6.962254589104433e-06,
                1.3007128006156398e-05,
                1.0129993391236997e-05,
                5.422220262195015e-06,
                7.889263525893087e-06,
                5.422217029844958e-06,
                1.3007134665674251e-05
            ],
            [
                2.144495863411905e-05,
                1.1478765386623071e-05,
                1.4738987239295859e-05,
                5.1442207429361644e-05,
                4.539785774116719e-05,
                2.753569763394596e-05,
                1.4738981962698681e-05,
                2.4300249411766472e-05,
                2.7535694375867267e-05,
                6.605212887119557e-05
            ],
            [
                7.889260703117714e-06,
                6.962256249429175e-06,
                1.7603434231505666e-06,
                6.144174601410037e-06,
                7.889260704050487e-06,
                4.785093923324944e-06,
                5.422221555133606e-06,
                4.0063677771303476e-05,
                1.3007123812767362e-05,
                5.4222183231674305e-06
            ],
            [
                2.2603237588597026e-06,
                2.9023130230846496e-06,
                2.4300246517938825e-05,
                2.753569434872079e-05,
                1.1478768124324254e-05,
                0.00013982212348408955,
                3.120190020068305e-05,
                6.962253759828703e-06,
                7.484620902139677e-05,
                1.4738978455325741e-05
            ],
            [
                1.9947297213492663e-06,
                4.222834954134701e-06,
                7.889266347004826e-06,
                4.785094494628999e-06,
                6.962257079059797e-06,
                1.0129992186774007e-05,
                3.726639283806955e-06,
                1.3007128461507534e-05,
                3.726640616630245e-06,
                1.67014178576052e-05
            ],
            [
                1.0129994601301684e-05,
                1.1478770860982112e-05,
                7.889259763010786e-06,
                3.7266397281434697e-06,
                1.3007130014376633e-05,
                1.0129995809763438e-05,
                4.222835457526079e-06,
                1.300712846217e-05,
                1.14787708580381e-05,
                2.4300246520590875e-05
            ],
            [
                1.3007125354586914e-05,
                5.1442231934456754e-05,
                4.5397884834850856e-05,
                2.4300232012472705e-05,
                2.144494328302938e-05,
                7.889261644760245e-06,
                3.5356237962761304e-05,
                5.829126543678972e-05,
                6.144173859069851e-06,
                1.6701419847381817e-05
            ],
            [
                2.1444958631232504e-05,
                2.753570421601738e-05,
                1.300713466420736e-05,
                2.4300232030064617e-05,
                2.4300249412738893e-05,
                8.93969630333567e-06,
                2.144494329192304e-05,
                4.006371123902672e-05,
                6.962259566635186e-06,
                1.3007133114886634e-05
            ],
            [
                1.9947306726358406e-06,
                1.370956879949281e-06,
                3.288750633192845e-06,
                3.726637951126493e-06,
                1.1478766753751021e-05,
                2.9023130228840374e-06,
                3.7266410609940346e-06,
                3.9278605978547293e-07,
                5.422217030288788e-06,
                2.902313368963394e-06
            ],
            [
                5.422218968822766e-06,
                7.889264465067689e-06,
                2.9023130228444433e-06,
                8.93969950101825e-06,
                6.144173869446876e-06,
                2.144494073483943e-05,
                4.78509563550957e-06,
                1.4738981960929243e-05,
                6.9622562492265485e-06,
                1.3007134663521234e-05
            ],
            [
                2.4300237821252875e-05,
                6.60521761026448e-05,
                3.5356246471407274e-05,
                8.939697369004791e-06,
                1.1478769492141554e-05,
                1.8925141464512013e-05,
                0.00013982210693632,
                3.120191132631554e-05,
                1.6701419849933667e-05,
                1.8925150473958278e-05
            ],
            [
                4.78509563535725e-06,
                1.5534979397500702e-06,
                4.785095635017795e-06,
                5.422217030362759e-06,
                5.422217030555087e-06,
                3.726640616630245e-06,
                3.7266392838544054e-06,
                6.962255419279419e-06,
                1.5534983100765009e-06,
                2.9023126771227976e-06
            ],
            [
                4.7850950647493785e-06,
                2.5612815999423112e-06,
                1.06770312455264e-06,
                4.222834451065997e-06,
                1.0129987355343409e-05,
                3.726639728184142e-06,
                2.5612819052374947e-06,
                4.785093923516432e-06,
                4.222831934321543e-06,
                5.4222170304318e-06
            ],
            [
                5.144220742524465e-05,
                1.0129993393319151e-05,
                1.300712536203966e-05,
                6.962256248314727e-06,
                2.4300252315495453e-05,
                7.889261644760245e-06,
                1.8925152749659986e-05,
                5.422221554758815e-06,
                1.0129988562661878e-05,
                1.300713311517055e-05
            ],
            [
                1.4738983725809062e-05,
                7.889265407004852e-06,
                5.144219516222186e-05,
                3.120191877609648e-05,
                8.481105121966081e-05,
                1.0129988564716393e-05,
                6.1441760667392215e-06,
                1.4738987239295859e-05,
                3.535626755260807e-05,
                1.670142184171555e-05
            ],
            [
                1.0129995809247506e-05,
                5.14422013436982e-05,
                1.1478768115053749e-05,
                1.8925152750176348e-05,
                2.7535700926183532e-05,
                7.889266346746518e-06,
                2.902311293147782e-06,
                1.670142980608093e-05,
                2.4300234924597754e-05,
                2.4300249418927004e-05
            ],
            [
                1.1478772229551402e-05,
                7.889265406151004e-06,
                6.144173869240119e-06,
                2.144495608046625e-05,
                8.93969843377968e-06,
                1.1478764019077695e-05,
                7.889266347133978e-06,
                1.3007123810306773e-05,
                1.1478772228256871e-05,
                1.6701423833436905e-05
            ],
            [
                1.3007134663521234e-05,
                1.8925148236123232e-05,
                1.1478768124553928e-05,
                5.144221356106128e-05,
                1.4738980213985297e-05,
                6.144175334172377e-06,
                6.144176066443055e-06,
                6.962254589104433e-06,
                1.1478766757049986e-05,
                4.006369691549301e-05
            ],
            [
                5.829129323782717e-05,
                6.9622545892184106e-06,
                1.5534971988904843e-06,
                2.430023781904283e-05,
                7.889263524960312e-06,
                4.222834954561012e-06,
                3.5356246475137275e-05,
                2.561282516042282e-06,
                8.939698434332555e-06,
                2.1444948401176257e-05
            ],
            [
                5.422218323231539e-06,
                1.4738983727256784e-05,
                6.962258739169842e-06,
                8.315277302263348e-07,
                6.962256249327861e-06,
                2.1444958637356654e-05,
                1.6701423832586287e-05,
                1.0129989771288745e-05,
                1.4738981960339432e-05,
                5.422219615069953e-06
            ],
            [
                8.93969949923766e-06,
                8.939699500636112e-06,
                7.889264465555602e-06,
                7.889264465555602e-06,
                1.8925152750692706e-05,
                8.93969417214416e-06,
                3.726640616748873e-06,
                6.962257908753841e-06,
                2.902312330891746e-06,
                8.939697368500698e-06
            ],
            [
                4.22283545808297e-06,
                8.939694170062744e-06,
                1.0677027426952437e-06,
                1.9947292458930106e-06,
                2.9023133689317184e-06,
                1.147876538789672e-05,
                1.4738983727256784e-05,
                8.939698434332555e-06,
                1.994729721265813e-06,
                4.785096205717126e-06
            ],
            [
                6.14417313533799e-06,
                5.422217676866151e-06,
                0.9924227585780647,
                2.4300246514137558e-05,
                6.144172404218801e-06,
                8.939693103158165e-06,
                1.4738983724146862e-05,
                5.144219512778883e-05,
                3.120192622315499e-05,
                0.9993736657269758
            ],
            [
                2.1444958635523312e-05,
                1.4738987241494252e-05,
                7.889266345584138e-06,
                1.0129993393540266e-05,
                7.889266346603015e-06,
                3.5356242266024216e-05,
                2.1444956070870452e-05,
                7.88926164518358e-06,
                1.0129990979381404e-05,
                3.2887482810801374e-06
            ],
            [
                4.785095635413826e-06,
                5.422220908481809e-06,
                2.5612828213690224e-06,
                1.012998977088337e-05,
                1.5534977544141614e-06,
                4.785093353274332e-06,
                4.22283394762097e-06,
                4.7850933534310035e-06,
                8.9396941718352e-06,
                2.5612825159421147e-06
            ],
            [
                6.962254588724508e-06,
                2.4300246516082393e-05,
                7.889260704308795e-06,
                4.5397884797196873e-05,
                1.1478769491014062e-05,
                3.535625911829982e-05,
                4.006368262300812e-05,
                4.0063706494441236e-05,
                2.7535700941409604e-05,
                2.4300240714549077e-05
            ],
            [
                8.939693102572767e-06,
                1.0129992184802409e-05,
                2.5612828212676906e-06,
                2.2603248367173307e-06,
                4.7850956352353935e-06,
                1.892514597632595e-05,
                2.2603251061849014e-06,
                1.4738985480179701e-05,
                1.1478766754064213e-05,
                3.2887490653408545e-06
            ],
            [
                4.222832940942332e-06,
                2.9023119845723063e-06,
                2.5612822106841303e-06,
                2.5612825157045092e-06,
                1.473898372500477e-05,
                3.288748673265808e-06,
                5.4222215550004564e-06,
                4.785096773526798e-06,
                1.0129992184802409e-05,
                2.902312677084523e-06
            ],
            [
                2.144494074076854e-05,
                1.300712381094558e-05,
                1.1478764019787597e-05,
                3.535626333641835e-05,
                2.4300232038197563e-05,
                8.93969417167259e-06,
                7.889262584666493e-06,
                1.1478764017428212e-05,
                2.1444958631232504e-05,
                2.4300237828059798e-05
            ],
            [
                6.144176066051891e-06,
                7.889263525893087e-06,
                1.892515500388139e-05,
                2.9023112930659533e-06,
                4.785093923847183e-06,
                2.7535704224732304e-05,
                1.0129989771823107e-05,
                2.7535684530912436e-05,
                2.9023116384746377e-06,
                2.902313022984344e-06
            ],
            [
                1.6701419846288166e-05,
                1.8925154999337424e-05,
                1.1478768120315386e-05,
                1.4738980213341866e-05,
                1.4738976698757546e-05,
                6.1441731363550164e-06,
                5.4222170304318e-06,
                1.4738983725406915e-05,
                4.785095065132354e-06,
                3.7266406167827664e-06
            ],
            [
                4.0063692137387875e-05,
                2.430023493564795e-05,
                5.8291279387562654e-05,
                8.48110109233393e-05,
                5.144223201267966e-05,
                4.006370646616669e-05,
                1.8925150471961686e-05,
                1.300713311517055e-05,
                4.539788485169606e-05,
                2.1444940731484803e-05
            ],
            [
                1.8925152749659986e-05,
                1.1478766756214804e-05,
                7.88926258381982e-06,
                4.222833444283541e-06,
                5.4222215552470286e-06,
                1.7603440526662173e-06,
                1.6701423831188846e-05,
                5.422221555069497e-06,
                1.1478768125201194e-05,
                8.939693105467234e-06
            ],
            [
                0.9998766053671335,
                0.9993736656971359,
                0.9997965731033174,
                0.999925153764135,
                0.9999251537639021,
                0.9997694933430722,
                0.9989677691563951,
                0.9999038976083394,
                0.9999869928715848,
                0.9975273765562258
            ],
            [
                1.8925150483734688e-05,
                8.939695237341456e-06,
                1.6701423833011596e-05,
                1.7603438428028262e-06,
                2.144494837847401e-05,
                3.2887494572514376e-06,
                1.6701415859504925e-05,
                8.93969417167259e-06,
                3.1201918783020485e-05,
                1.892514598427789e-05
            ],
            [
                3.288750241410738e-06,
                3.120191983898894e-05,
                6.144175334172377e-06,
                7.889261644057078e-06,
                1.147876675686207e-05,
                4.785096776068365e-06,
                1.4738983727578497e-05,
                3.1201907642061724e-05,
                1.8925143724239906e-05,
                1.012999580884213e-05
            ],
            [
                2.56128343152993e-06,
                6.962253759670401e-06,
                5.422218969661113e-06,
                8.9396941718352e-06,
                6.144173136243255e-06,
                7.88925976283858e-06,
                6.962255419051463e-06,
                2.1444943300075563e-05,
                6.1441753335241615e-06,
                2.753569435172593e-05
            ],
            [
                3.288749457432399e-06,
                4.222832939978334e-06,
                1.0129992187253088e-05,
                1.6701425825492673e-05,
                1.3709567164663505e-06,
                1.4738985479697128e-05,
                3.726638395493353e-06,
                1.4738988998117324e-05,
                2.5612834317116285e-06,
                3.5356242258821454e-05
            ],
            [
                2.144495351004062e-05,
                3.535624646356141e-05,
                6.14417313680765e-06,
                5.1442219519847896e-05,
                0.00010889693482376376,
                2.7535684501962883e-05,
                2.4300232020075242e-05,
                2.4300234931404677e-05,
                6.962254589433702e-06,
                1.8925141456801038e-05
            ],
            [
                0.999915188969151,
                0.999933947863855,
                0.9999852610145383,
                0.9997040428359062,
                0.9999945777816813,
                0.999995214906076,
                0.9999151889588317,
                0.9998766053677637,
                0.9998204720681303,
                0.9999417087416249
            ],
            [
                1.6701423825538316e-05,
                4.785092782936557e-06,
                1.892515500663531e-05,
                7.889263525103816e-06,
                1.1478764018305152e-05,
                5.144221359250013e-05,
                4.2228324370327694e-06,
                6.144175333837093e-06,
                5.42221961567159e-06,
                1.8925148236674017e-05
            ],
            [
                8.481106023816122e-05,
                2.4300240728162926e-05,
                1.0129993388546776e-05,
                1.0129988562901417e-05,
                1.892515725376564e-05,
                3.120191879107958e-05,
                1.0129993394314164e-05,
                3.5356246478738656e-05,
                2.1444956070870452e-05,
                3.535624224094318e-05
            ],
            [
                6.962254589705982e-06,
                4.785093353787868e-06,
                5.422220261948442e-06,
                2.2603251061232293e-06,
                4.785095065045315e-06,
                8.939693105076969e-06,
                5.422221555296344e-06,
                7.889265406151004e-06,
                6.144176066264237e-06,
                9.422448185264317e-07
            ],
            [
                8.939700565996655e-06,
                1.3007133113372426e-05,
                6.1441760661636525e-06,
                0.00013982205696955448,
                7.889261644760245e-06,
                1.892514823364471e-05,
                1.0129987356191011e-05,
                8.939694172542558e-06,
                6.605212064015163e-05,
                4.222831934202483e-06
            ],
            [
                4.222832437677995e-06,
                5.422221554758815e-06,
                1.892514669613156e-05,
                4.222832437497486e-06,
                4.539785239182798e-05,
                2.902312331125353e-06,
                3.2887494571676872e-06,
                7.889266347248781e-06,
                1.8925152734582275e-05,
                3.726639284017094e-06
            ],
            [
                1.0129988563546333e-05,
                8.939694172290508e-06,
                4.785093353352668e-06,
                8.939695238089467e-06,
                1.6701421840804172e-05,
                5.422220261948442e-06,
                6.144174601097106e-06,
                6.605212870540211e-05,
                1.3007123810306773e-05,
                7.889261644501938e-06
            ],
            [
                6.962255419380732e-06,
                5.422219615750493e-06,
                6.144175333289463e-06,
                1.473898899908247e-05,
                5.4222215552470286e-06,
                1.6701423450172857e-05,
                1.1478765384054893e-05,
                6.9622554171645e-06,
                1.012998977022003e-05,
                7.889260703117714e-06
            ],
            [
                4.222831934156396e-06,
                1.370957370247318e-06,
                2.561282210590951e-06,
                2.902313022984344e-06,
                0.999569442896881,
                2.5612831266165976e-06,
                7.889261644057078e-06,
                6.144176066264237e-06,
                4.222832437386106e-06,
                2.260323489435463e-06
            ],
            [
                5.422219613511613e-06,
                4.2228319341064674e-06,
                2.1444940732342966e-05,
                3.1201922493496056e-05,
                5.829126545587422e-05,
                5.422217675756574e-06,
                1.8925145958150083e-05,
                1.4738983727900215e-05,
                6.962259568775433e-06,
                4.0063701690975316e-05
            ],
            [
                2.260325375615501e-06,
                3.5356246419315886e-05,
                1.300713001414004e-05,
                1.1478765388711023e-05,
                3.726639284017094e-06,
                6.1441767990323395e-06,
                3.120190387585532e-05,
                2.7535687801010546e-05,
                2.144495606813994e-05,
                8.93969630317306e-06
            ],
            [
                8.939698432917844e-06,
                2.144495607492721e-05,
                6.9622579092224155e-06,
                4.7850950649408664e-06,
                1.892515500450102e-05,
                2.4300249416363357e-05,
                1.3007130013572209e-05,
                6.144176796422715e-06,
                1.0129995809763438e-05,
                7.889262584809997e-06
            ],
            [
                1.1478772229781076e-05,
                2.430024939585418e-05,
                6.14417679836736e-06,
                7.88926070293116e-06,
                5.4222215550004564e-06,
                1.0129995809247506e-05,
                2.144494840531103e-05,
                7.889259763728304e-06,
                1.0129990978644356e-05,
                6.144173136645595e-06
            ],
            [
                8.48110308601652e-05,
                1.8925152750692706e-05,
                1.3007130014636887e-05,
                3.535626334645077e-05,
                1.892515726099468e-05,
                2.753570093009022e-05,
                5.144223194306502e-05,
                6.962256249327861e-06,
                6.144174601588856e-06,
                4.2228324372555256e-06
            ],
            [
                7.889263523869684e-06,
                3.120191133221797e-05,
                4.5397884843438604e-05,
                1.1478765385432939e-05,
                2.9023116390421582e-06,
                8.939693106873817e-06,
                1.0129988564264954e-05,
                5.829125147329711e-05,
                8.93969310647542e-06,
                3.120192624733229e-05
            ],
            [
                4.006371124922888e-05,
                6.9622545892184106e-06,
                1.0129988564099116e-05,
                1.3007126911335805e-05,
                5.829127234919691e-05,
                3.120191508446373e-05,
                4.539787936115123e-05,
                1.4738980213020151e-05,
                0.00012339457460376925,
                1.30071331025127e-05
            ],
            [
                3.5356263301562124e-05,
                3.5356242266024216e-05,
                4.539787393897876e-05,
                5.144223202577919e-05,
                1.0129990979381404e-05,
                6.605212866984062e-05,
                4.539786861787811e-05,
                1.67014158650947e-05,
                2.7535686908983436e-05,
                5.14422258772351e-05
            ],
            [
                3.726637951028202e-06,
                6.9622562489985925e-06,
                3.726639284017094e-06,
                6.9622554187981796e-06,
                3.726639284050988e-06,
                1.1478772229989872e-05,
                6.144176799166453e-06,
                5.422221554926484e-06,
                5.422218323349895e-06,
                2.430024072285883e-05
            ],
            [
                0.999993855826865,
                0.9999910603015695,
                0.9999921107393193,
                0.9999417087484309,
                0.9999485578048636,
                0.9999724643056221,
                0.9999930377437566,
                0.9998601778796408,
                0.9999151889485612,
                0.9999485577802474
            ],
            [
                2.1444943291142893e-05,
                1.3007131564903626e-05,
                8.48110308601652e-05,
                2.7535704212311033e-05,
                6.962254589705982e-06,
                8.93969736942758e-06,
                6.962257909412379e-06,
                8.939693105467234e-06,
                6.962253759271479e-06,
                2.4300243616508983e-05
            ],
            [
                1.4738980210258757e-05,
                8.939694171331106e-06,
                6.962257908753841e-06,
                6.9622562489985925e-06,
                1.1478765387667046e-05,
                3.2887498494551953e-06,
                6.144177530001174e-06,
                1.67014238321306e-05,
                2.1444943292703185e-05,
                2.5612816000145246e-06
            ],
            [
                3.726640172337686e-06,
                1.147877359872636e-05,
                1.012998977088337e-05,
                1.1478764009139048e-05,
                4.222834954687752e-06,
                2.5612834318583854e-06,
                7.889263525663481e-06,
                3.288749065125496e-06,
                2.9023119851266288e-06,
                4.222831933726245e-06
            ]
        ]
    },
    {
        "q_id": "10473_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            13,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127,
            4,
            12,
            14,
            44,
            45,
            122
        ],
        "rewards": [
            [
                0.9999687980997913,
                0.9999687980960696,
                0.9999417087553318,
                0.9999687980923515,
                0.9999417087414693,
                0.999978555054146,
                0.9999756997650643,
                0.9997965730511625,
                0.9994472213281205,
                0.999860177959389
            ],
            [
                0.9999756997534754,
                0.9997040428317042,
                0.9988304895926993,
                0.8807970732843033,
                0.9999687980737564,
                0.9999038975851613,
                0.0009110511199081732,
                0.9999485577741026,
                0.9999687980774709,
                0.9999546021367857
            ],
            [
                0.9995694429613496,
                0.9770226320552927,
                0.9999646437324424,
                0.998073265787769,
                0.9999339478317334,
                0.9953904276091019,
                0.9997040428312477,
                0.9999038975850787,
                0.9999251537548992,
                0.9998415637264352
            ],
            [
                0.9999151889889872,
                0.9998415637454438,
                0.9998204720553105,
                0.999975699765066,
                0.9999251537995338,
                0.9999038975506579,
                0.9999724643089097,
                0.999933947871074,
                0.9996200155143443,
                0.9964063976536817
            ],
            [
                0.999512142826497,
                0.9991959140511358,
                0.9975273770455114,
                0.9997040427607241,
                0.9971990733079622,
                0.9997040428661479,
                0.9995694430127166,
                0.9982992775304547,
                0.9993736659763708,
                0.9996200155595364
            ],
            [
                0.9999485577618361,
                0.9999869928699862,
                0.999941708755328,
                0.9997040428655193,
                0.9999485577679497,
                0.9993736657526622,
                0.9964063977612281,
                0.9999339478474549,
                0.9999151889687703,
                0.9947798731336527
            ],
            [
                2.1444940732342966e-05,
                1.6701417861189946e-05,
                2.4300252304268445e-05,
                5.422218969661113e-06,
                1.994729721436347e-06,
                1.2098655392921197e-06,
                1.012999097799944e-05,
                2.144494073796001e-05,
                3.120191136400031e-05,
                3.7266379513162962e-06
            ],
            [
                0.000108896948112852,
                2.4300240723831244e-05,
                0.9241418168448761,
                0.9399133437246704,
                0.9706877707325844,
                1.1478766755985128e-05,
                0.8933094060543488,
                0.9465966656805269,
                0.9149009503523291,
                0.9626731147976795
            ],
            [
                0.9997965730024703,
                0.9991959140517438,
                0.005220125899098713,
                0.999704042759312,
                0.9998766054545734,
                0.9959298614044861,
                0.9968273175514643,
                0.998967768797105,
                0.9964063967182768,
                0.9999339478238508
            ],
            [
                1.4738983726908257e-05,
                2.9023133689924295e-06,
                2.561283432005142e-06,
                7.889259763857458e-06,
                0.0013250227250021448,
                2.5612828213690224e-06,
                1.3007131564903626e-05,
                1.670142781478417e-05,
                0.000230506659369122,
                3.120191880504111e-05
            ],
            [
                0.9995121428244533,
                0.9996646498112958,
                0.9998204720770398,
                0.9999599362887179,
                0.9997040430070055,
                0.9999599363173769,
                0.9971990733833987,
                0.9999151889384297,
                0.9993736657487637,
                0.9998601779759286
            ],
            [
                0.9975273769984205,
                0.9902915235812035,
                0.9971990735381738,
                0.9980732651351902,
                0.9998415637456812,
                0.00029595709787561686,
                0.9999646437324408,
                0.9940889321041922,
                0.99997246431547,
                0.0004878572297868221
            ],
            [
                6.962255418367598e-06,
                1.8925155005051806e-05,
                1.473898021151881e-05,
                4.0063682561940974e-05,
                3.2887498494282754e-06,
                5.422217029943586e-06,
                4.222831934202483e-06,
                4.0063706453049636e-05,
                1.1478764019787597e-05,
                7.889265406294507e-06
            ],
            [
                2.5612812947077304e-06,
                8.481105128568296e-05,
                0.7549149813536518,
                4.539789026561238e-05,
                1.4738980214280206e-05,
                6.144173869446876e-06,
                1.4738983727256784e-05,
                0.9465966745315055,
                0.0001398220405906475,
                0.7310585727705126
            ],
            [
                0.8670357718273068,
                0.008577486918490335,
                0.9993736657466504,
                0.00017952794333119174,
                0.998498818046192,
                0.001325022292279815,
                0.9998911030649195,
                0.9975273769542011,
                0.9933071498001188,
                0.9999485577618298
            ],
            [
                0.9999810748517607,
                0.00015843625420819442,
                0.9982992776947046,
                0.966914023160595,
                0.9998911030648404,
                0.9999687980849129,
                0.9989677690536378,
                0.9999485577863476,
                0.9999756997563743,
                0.9999687980997926
            ],
            [
                0.9999251537906383,
                0.9999785550541467,
                0.9998601778595165,
                0.9998204720128943,
                0.9999038975392522,
                0.9999785550464791,
                0.9999810748449934,
                0.9999832985701939,
                0.9999151889485933,
                0.9998766054693765
            ],
            [
                0.9999485578047674,
                0.9999546021313719,
                0.999978555056703,
                0.9998601779761361,
                0.9991959141550973,
                0.002472623295036004,
                0.9998415638021374,
                0.9890130596261588,
                0.8670357494949105,
                0.9999339478238656
            ],
            [
                0.9626731098447462,
                0.880797071719777,
                0.9770226316789552,
                0.9998911030388452,
                0.9998911030518745,
                0.9465966709534506,
                0.9997388096291354,
                0.9999687980960733,
                0.9999687980960708,
                0.9989677690488362
            ],
            [
                0.9902915246288146,
                0.00012339463353079768,
                0.9796676487721514,
                3.120190020204515e-05,
                0.9525741278322102,
                0.9740426438382782,
                0.9796676456555891,
                0.9796676455442832,
                1.3007126912826352e-05,
                6.9622579092224155e-06
            ],
            [
                0.8933094096048377,
                0.9914225134537443,
                0.9999599362982728,
                0.9994472214510933,
                0.008577483790135636,
                0.00037998452868091603,
                0.998830489727057,
                0.9997388096283755,
                0.0010322312814034357,
                0.999195914240025
            ],
            [
                0.9997040430063856,
                0.9999151889182207,
                0.9740426404945812,
                0.9999810748495044,
                0.9999646437535068,
                0.9998911031166918,
                0.9999546021151381,
                0.8354835309589073,
                0.9991959141471471,
                0.9990889487672405
            ],
            [
                2.9023119851055122e-06,
                1.9947290081177566e-06,
                6.144174601309452e-06,
                2.902312677084523e-06,
                1.0129994602222992e-05,
                6.962259569313662e-06,
                1.670142581373592e-05,
                3.7266379513162962e-06,
                1.0129994601872894e-05,
                6.962254589104433e-06
            ],
            [
                0.9986749773678891,
                0.9984988180788231,
                0.9706877688246606,
                0.999512142881617,
                0.9924227573279605,
                0.9914225133032665,
                0.9997388095980908,
                0.9947798754405404,
                0.9947798750754041,
                0.9399133441454511
            ],
            [
                0.9993736658245113,
                0.9980732648849042,
                0.9999646437492937,
                0.9999251537460401,
                0.9978172839623584,
                0.9998911031038409,
                0.9999810748449939,
                0.9998911031037133,
                0.9986749778448234,
                0.9999785550592574
            ],
            [
                0.9995121428845974,
                0.9990889487664457,
                0.9984988177352361,
                0.9998204720125913,
                0.9993736659014247,
                0.9997388095675478,
                0.9999724643187533,
                0.9998601778593477,
                0.9999869928746385,
                0.9999038975393139
            ],
            [
                0.9998204719485109,
                0.9999724643187533,
                0.9999646437450779,
                0.9998766053810425,
                0.9999038976079864,
                0.999820472076938,
                0.9998601778926324,
                0.9999785550490333,
                0.9998766054399156,
                0.9994472213219783
            ],
            [
                0.9999485577924884,
                0.9999599363030566,
                0.9999546021421969,
                0.9999599363125955,
                0.9997040429356898,
                0.9998766054104082,
                0.9999810748562717,
                0.9998766054397721,
                0.9998766054546381,
                0.999954602142192
            ],
            [
                0.9998601779260412,
                0.9989677691774027,
                0.977022629002777,
                0.9998766053663866,
                0.9975273772149237,
                0.9999151889688017,
                0.9995694429114481,
                0.9993736658276082,
                0.9999151889687863,
                0.0003799845727453636
            ],
            [
                1.5534975693707442e-06,
                2.561283432005142e-06,
                1.1478772229300848e-05,
                3.72664061671159e-06,
                8.939695237341456e-06,
                1.9947306726594253e-06,
                3.535626754900668e-05,
                1.4738978456398127e-05,
                8.93969736942758e-06,
                0.9914225149189232
            ],
            [
                0.9914225132319875,
                0.9999417087344838,
                0.9999546021205469,
                0.9999898700078131,
                0.9999869928746377,
                0.9999339478238459,
                0.9999151889485854,
                0.9999546021313743,
                0.9999646437619342,
                0.9999832985821384
            ],
            [
                3.2887482810801374e-06,
                0.00013982204069440157,
                3.72664017246987e-06,
                0.00017952800846419514,
                4.222833947774596e-06,
                0.0001398220739587817,
                1.670142382681424e-05,
                2.902312677104321e-06,
                0.9324533088603709,
                0.7981867777396211
            ],
            [
                0.9996200155617695,
                0.00070967053763272,
                0.9959298625351536,
                0.9914225148159647,
                0.9914225160752264,
                0.9890130553150538,
                0.9770226320134775,
                0.9980732653355532,
                0.9997965730751919,
                0.9940889314091759
            ],
            [
                0.9999038976194206,
                0.9999251537817176,
                0.9995121428819861,
                0.9986749775700008,
                0.9999687980849168,
                0.9975273766021681,
                0.9997694933123403,
                0.9997965729784409,
                0.9984988179578959,
                0.9975273763764764
            ],
            [
                0.9998415637643508,
                0.9999546021476009,
                0.9947798744998914,
                0.9992903294521301,
                0.9324533144915912,
                0.9984988177066183,
                0.9999417087344882,
                0.9997388097842443,
                0.9990889488833767,
                0.9995121427668356
            ],
            [
                0.9999832985841314,
                0.9986749775365723,
                0.9982992772780512,
                0.9998204720983304,
                0.9999151889384686,
                0.9999724642990546,
                0.9999810748540158,
                0.9999251537995278,
                0.9990889486612768,
                0.9999417087275172
            ],
            [
                0.9964063971501304,
                0.9997388095662711,
                0.9525741303566527,
                0.9999038975393034,
                0.9998204719698353,
                0.9971990732513849,
                0.9998766054104872,
                0.9993736657466504,
                0.999925153746002,
                0.9999151889485459
            ],
            [
                0.9999485577740995,
                0.999796573075402,
                0.9997388096289302,
                0.9998415637834425,
                0.9995694428593297,
                0.999941708755328,
                0.9988304897304568,
                0.9980732648902771,
                0.9997694932027467,
                0.998498817543637
            ],
            [
                0.9840936106790336,
                0.9399133531922388,
                0.0017007220315454557,
                0.9999485577740902,
                0.9999417087066884,
                0.9968273177112531,
                0.9991959141522446,
                0.9988304897357605,
                0.999959936317373,
                0.9706877680296923
            ],
            [
                0.9999485577986111,
                0.00023050665992580964,
                0.9999785550567023,
                0.9999038975850983,
                0.9999599362934916,
                0.9999485577863694,
                0.0010322308003892584,
                0.9999339478395968,
                0.9999339478711133,
                0.9999852610145146
            ],
            [
                0.9525741253077676,
                1.7603438428660665e-06,
                7.88925976418034e-06,
                1.994729483694599e-06,
                5.422217676925328e-06,
                0.00017952800719214757,
                1.0129990979215566e-05,
                6.605216033495677e-05,
                2.2603251062013478e-06,
                0.00010889689619874565
            ],
            [
                0.9997965730270532,
                0.00033535022807252245,
                0.9998204720987116,
                0.9997388097221476,
                0.9999151889687783,
                0.9999485577802159,
                0.9999251537817111,
                0.9999038975392522,
                0.9999339478238508,
                0.9998415637642472
            ],
            [
                0.9998204720555091,
                0.9978172836941057,
                0.7057850278370112,
                0.9999251537995529,
                0.9998415637076825,
                0.9995121429397175,
                0.9997388097531315,
                0.9997965730268371,
                0.9999251537549356,
                0.9999038976193814
            ],
            [
                0.9997694932848749,
                0.999975699762166,
                0.9997965730509908,
                0.9997040427603625,
                0.9995121428829227,
                0.9998911030908354,
                0.9998204720340828,
                0.9997040428667765,
                0.9990889486743634,
                0.9994472213268984
            ],
            [
                0.9890130594035196,
                0.9999546021151405,
                0.9999151889384766,
                0.9999038975391943,
                0.9999724643089025,
                0.9999485577740962,
                0.996406397045085,
                0.9706877673407197,
                0.9999646437619418,
                0.9996200155159252
            ],
            [
                0.99956944301318,
                0.9993736659717071,
                0.9997388095980149,
                0.9968273165735859,
                0.9999151889485693,
                0.9999339478396017,
                0.9998415637077862,
                0.9988304898688943,
                0.9998601778927362,
                0.9992903297082659
            ],
            [
                0.9859363721819403,
                0.9999967112493665,
                0.999925153772803,
                0.9999724642990675,
                0.9999646437450858,
                0.9999910603058282,
                0.9999339478474694,
                0.9999785550464753,
                0.9999869928699877,
                0.9859363732666803
            ],
            [
                0.9933071502087569,
                0.9998911030777935,
                0.9998766054105196,
                0.999820471970039,
                0.997527376898496,
                0.9996646497305981,
                0.990291523966223,
                0.9997694932304335,
                0.9998766053957648,
                0.9998204720343205
            ],
            [
                0.9995121428825537,
                0.9990889489897112,
                0.9999151889688097,
                0.999841563839848,
                0.9933071489921301,
                0.9992903294565882,
                0.9998911030648404,
                0.9995121428813901,
                0.999664649890286,
                0.9924227605004935
            ],
            [
                0.999195914242831,
                0.9994472214537946,
                0.9971990736363714,
                0.9986749773936152,
                0.9993736658227624,
                0.9978172832199728,
                0.9984988178971704,
                0.9998204720768021,
                0.9940889312285811,
                0.9980732651208626
            ],
            [
                0.9997694933400205,
                0.9999599363173769,
                0.9997388097529262,
                0.9998601779259395,
                0.9998415637645629,
                0.9997694933676536,
                0.9999251537549112,
                0.9997694933123403,
                0.9999687980774709,
                0.9995121428798573
            ],
            [
                0.9924227578076924,
                0.9875683492611537,
                0.9959298627069243,
                0.9989677691659986,
                0.9953904279253194,
                0.9971990736285675,
                0.9953904288718353,
                4.006369693473136e-05,
                0.9669140218496496,
                0.9324533022906133
            ],
            [
                1.994730197071414e-06,
                6.962257909412379e-06,
                1.3709575337016483e-06,
                2.2603251062147097e-06,
                1.147876538789672e-05,
                1.8925145982866508e-05,
                2.7535700938304286e-05,
                1.0677032518748838e-06,
                2.4300246515109972e-05,
                7.889260703763482e-06
            ],
            [
                0.9890130565294497,
                1.67014238321306e-05,
                0.6224593312018546,
                4.006370647870077e-05,
                9.422447062094932e-07,
                1.9947306726213275e-06,
                6.605216821327387e-05,
                2.4300249418927004e-05,
                6.962255418063657e-06,
                5.422217676575195e-06
            ],
            [
                0.9997388096287174,
                0.9999646437493034,
                0.9999485577740995,
                0.999954602142202,
                0.9999646437450808,
                0.9990889489852608,
                0.9999417087553741,
                0.9999485577618361,
                0.9999038975621907,
                0.999933947871098
            ],
            [
                0.9997040429709516,
                0.999860177859246,
                0.9796676453587735,
                0.9999646437450824,
                0.9998204719485762,
                0.9968273168961092,
                0.7772998560157665,
                0.9995694429115358,
                0.9998766054692472,
                0.9999599363221504
            ],
            [
                3.5356246482211416e-05,
                5.42222090882208e-06,
                6.605214450431904e-05,
                1.0129987355122296e-05,
                3.288749457409966e-06,
                0.9046505248181418,
                0.9046505395995929,
                0.7310585786300049,
                1.5534975693792215e-06,
                3.726641061027928e-06
            ],
            [
                0.9998204720341167,
                0.9998601779594297,
                0.9999756997650643,
                0.9998415637266403,
                0.9998766053958474,
                0.9999724643023409,
                0.999964643736649,
                0.9997965729297902,
                0.9999151889182282,
                0.9999485577802376
            ],
            [
                0.9997388095671146,
                0.9997388096598381,
                0.9988304898695742,
                0.9997694933670568,
                0.999876605439948,
                0.9998766054546381,
                0.9999485577679679,
                0.9996200155164447,
                0.9996646497307152,
                0.999664649930913
            ],
            [
                2.5612819053399912e-06,
                6.475948753991907e-07,
                3.726640616748873e-06,
                1.300712381094558e-05,
                4.539786858319682e-05,
                3.2887498494282754e-06,
                2.902312331125353e-06,
                6.144173136885882e-06,
                1.5534983101393749e-06,
                2.9023119851055122e-06
            ],
            [
                7.338211554641698e-07,
                5.422217676797111e-06,
                3.288750241410738e-06,
                2.5612812946681295e-06,
                2.5612831266165976e-06,
                3.288749065029781e-06,
                1.5534977545603963e-06,
                2.9023123309973302e-06,
                1.670142781560441e-05,
                1.2098659719601033e-06
            ],
            [
                0.999512142766126,
                0.9999599362887198,
                0.9997965730998162,
                0.9999339478317094,
                0.9999785550592579,
                0.999954602120557,
                0.9999869928684354,
                0.9998415638398733,
                0.9995121427645933,
                0.9999910603026309
            ],
            [
                0.9999417087344724,
                0.9959298630372527,
                0.9989677687966249,
                0.9998204720767369,
                0.9964063980130038,
                0.0019267342455874692,
                0.999968798081195,
                0.9999339478553674,
                0.8354835309589074,
                0.9998204719699711
            ],
            [
                1.76034300345598e-06,
                3.288748673295719e-06,
                6.962257908880483e-06,
                6.144173869379821e-06,
                2.144494074076854e-05,
                2.260325375664839e-06,
                2.1444943297072005e-05,
                2.9023109470871505e-06,
                1.7603427936263351e-06,
                5.422219615898437e-06
            ],
            [
                0.9995694429116361,
                0.9999599363030427,
                0.999925153772784,
                0.9947798734625173,
                0.9990889489901351,
                0.9980732653586117,
                0.9998911030388833,
                0.9997388095668258,
                0.9999151889283524,
                0.9999151889283764
            ],
            [
                0.9984988178851301,
                0.9465966737782309,
                0.8354835432479661,
                0.0003353499870820407,
                0.9998601779426642,
                0.9968273168291009,
                0.9947798734721897,
                0.5926665999540698,
                0.9988304900105955,
                0.0001584361790338028
            ],
            [
                1.0129993393945642e-05,
                7.889261644631091e-06,
                4.006371125884805e-05,
                2.1444958635523312e-05,
                3.288750633488963e-06,
                3.288750633518874e-06,
                0.5312093733737562,
                1.892515500560259e-05,
                6.605213677497863e-05,
                0.0003799845280839567
            ],
            [
                0.9997965729538639,
                0.9980732654109971,
                0.9999251537906008,
                0.9999485577802313,
                0.9999251537817307,
                0.9999038975965528,
                0.9875683472373452,
                0.0019267347233244399,
                0.0002959571697338863,
                0.9997040428307052
            ],
            [
                0.9995121427656435,
                0.994779873936469,
                0.9706877671287282,
                0.999290329707523,
                0.9991959139497465,
                0.9992903295375776,
                0.9994472213872272,
                0.9998415638209939,
                0.985936373486211,
                0.999941708755344
            ],
            [
                0.0001795280512514926,
                0.9999151889182362,
                0.9997040427958999,
                0.999903897539223,
                0.9998601779259192,
                0.999860177926147,
                0.9999151889384605,
                0.9999339478789513,
                0.9324533163686646,
                0.9999599362982748
            ],
            [
                0.9947798742314798,
                0.9994472213875166,
                0.999860177859368,
                0.999959936298269,
                0.999933947863225,
                0.999876605439966,
                0.9999756997476829,
                0.9997388096597697,
                0.9990889486661512,
                0.9999151889587096
            ],
            [
                0.999948557798617,
                0.9996200155150629,
                0.9975273769363984,
                0.9998204719483123,
                0.9947798744080026,
                0.9999339478632202,
                0.999876605366322,
                0.9996200154706668,
                0.9999151889384932,
                0.9998601778759096
            ],
            [
                0.9914225156000332,
                0.9999417087414166,
                0.9996646498107299,
                0.9890130587254821,
                0.999941708748396,
                0.994088932254688,
                0.9997388097220108,
                0.9998766054251772,
                0.9992903296228185,
                0.99979657309939
            ],
            [
                0.9999038975507067,
                0.998830489727057,
                0.9994472213876774,
                0.999290329449901,
                0.9992903294596016,
                0.9994472214528941,
                0.9998766054693442,
                0.9998766053664029,
                0.9996646498901787,
                0.9993736658996759
            ],
            [
                0.9978172839623584,
                0.9999724643121848,
                0.9999756997476814,
                0.9999756997534777,
                0.9997694933405168,
                0.9998601779593687,
                0.974042644827259,
                0.9999339478474506,
                0.9999339478553236,
                0.999941708755344
            ],
            [
                0.9998766054252095,
                0.9999952149032237,
                0.9999646437366584,
                0.999988521234612,
                0.9999810748427379,
                0.9999852610127608,
                0.9999687980849155,
                0.9999869928653341,
                0.9971990732065132,
                0.9999869928761884
            ],
            [
                0.9997694933396986,
                0.9999599362982728,
                0.9999546021476009,
                0.9999485577924824,
                0.9999546021097193,
                0.9997694933123941,
                0.9999646437535097,
                0.999447221388417,
                0.9740426423783543,
                0.9999724642990617
            ],
            [
                0.0001398220405906475,
                0.9999038975507474,
                0.9902915236707429,
                0.9999417087205882,
                0.9998204720770059,
                0.9997694932024783,
                0.9998415637644547,
                0.9998911031298249,
                0.9992903297028585,
                0.9999251537727529
            ],
            [
                0.998073265346075,
                0.9998601779427456,
                0.002800927036704682,
                0.9998601778927992,
                0.8807970795424088,
                0.0006263340142655895,
                0.999860177926147,
                0.9998601778593883,
                0.9990889488923836,
                0.9997388095663394
            ],
            [
                0.999948557798626,
                0.9999546021476009,
                0.9998766054104226,
                0.999820471970039,
                0.9999038975392935,
                0.9998204719914653,
                0.9986749773654244,
                0.0017007222491618372,
                0.999796573027361,
                0.9998415638208902
            ],
            [
                0.9998415638211505,
                0.8807970670261975,
                0.9984988174036893,
                0.9998766054546542,
                0.9995121427674316,
                0.9998601779426439,
                0.9999485577679776,
                0.99781728396033,
                0.9989677689386363,
                0.9959298625823434
            ],
            [
                0.9999687980886359,
                0.9995694429616252,
                0.9998601778926528,
                0.9971990733573862,
                0.9997694932032497,
                0.9999485577618238,
                0.9997388095976653,
                0.9999546021367783,
                0.9999151889182362,
                0.9999785550439183
            ],
            [
                0.9996200155611946,
                0.9997965730996415,
                0.999925153772784,
                0.9998601779259395,
                0.9995121427649623,
                0.998830489874198,
                0.9465966677520327,
                0.9959298628730323,
                0.9996200155145655,
                0.9997388095661343
            ],
            [
                0.9933071478869498,
                0.0004305570366212325,
                4.539786862316288e-05,
                0.9914225150298016,
                0.987568349203984,
                0.999925153746002,
                0.9997040427599234,
                0.00020342704457039024,
                0.9989677689255516,
                0.0005527786095891596
            ],
            [
                0.9999339478632202,
                0.998967768927112,
                0.999915188928337,
                0.9959298626182076,
                0.99937366582105,
                0.9998911031167924,
                0.9999646437450808,
                0.9999151889687863,
                0.9998766054105698,
                0.9999599363078219
            ],
            [
                0.9999910603047624,
                0.999925153799579,
                0.9998204720986045,
                0.9999485577618527,
                0.9999417087066845,
                0.999972464315468,
                0.999975699747687,
                0.9968273166221853,
                0.9953904270386283,
                0.9999832985761661
            ],
            [
                0.9997965730752333,
                0.9997388097230672,
                0.9998204720983642,
                0.9998601779428107,
                0.9997040427956243,
                0.9971990732513849,
                0.9999251537549292,
                0.9840936056932398,
                0.9999251537549482,
                0.9998601778759707
            ],
            [
                5.144220137401424e-05,
                3.726637951126493e-06,
                6.144174601879434e-06,
                0.9770226284591782,
                0.9740426420015996,
                1.6701415869924985e-05,
                8.939697369151141e-06,
                1.4738983726184394e-05,
                4.539786863059458e-05,
                2.4300243624818735e-05
            ],
            [
                4.222832437677995e-06,
                1.892515726357648e-05,
                3.120192252686752e-05,
                6.14417753110761e-06,
                0.00013982210717841299,
                4.222831934248571e-06,
                2.2603245672497918e-06,
                1.8925145982866508e-05,
                6.962257079275089e-06,
                6.14417533430649e-06
            ],
            [
                0.9999038976194807,
                0.999948557798626,
                0.9999785550567023,
                0.999915188989068,
                0.9996646498122227,
                0.9999417087206256,
                0.9999869928746369,
                0.999820472055611,
                0.999948557780219,
                0.9999646437492907
            ],
            [
                0.9996646498505665,
                0.9999810748427356,
                0.9998766054251126,
                0.9999852610180282,
                0.999933947863225,
                0.999841563783205,
                0.9999339478710831,
                0.9999038976080374,
                0.9999646437408697,
                0.9999869928668849
            ],
            [
                0.9999339478238508,
                0.999978555041362,
                0.9997694932850896,
                0.9933071476300033,
                0.999959936298269,
                0.999933947831719,
                0.9997040428667765,
                0.9998415638400577,
                0.9999038975965626,
                0.9999646437450824
            ],
            [
                0.9465966703884945,
                0.9241418178895029,
                0.9875683515136405,
                0.9998766054105196,
                0.998299277513654,
                0.9992903297060369,
                0.9975273770489571,
                0.9914225130339903,
                0.9982992774885521,
                0.9975273763351283
            ],
            [
                0.9820137937555351,
                0.9999339478474795,
                0.9999546021367759,
                0.9999151889384451,
                0.9998601779259395,
                0.9999038976079864,
                0.9997694932022637,
                0.9999724642990565,
                0.9999687980923566,
                0.9999485577863536
            ],
            [
                0.9999417087275244,
                0.999948557761856,
                0.9999546021259605,
                0.9999724643023452,
                0.9999646437408649,
                0.9999832985761699,
                0.9999546021476109,
                0.9999898700090208,
                0.999948557780244,
                0.9999687980886323
            ],
            [
                0.914900957313305,
                0.9999151889889872,
                0.9998911031297456,
                0.9968273173106765,
                0.9997040429726479,
                0.9978172835642896,
                0.9999724642990595,
                0.9999251537371668,
                0.9890130584522431,
                0.9997965730752747
            ],
            [
                2.9023119851266288e-06,
                1.7603434231385591e-06,
                1.3709570434054234e-06,
                1.473898021457511e-05,
                1.473897670007122e-05,
                4.78509506499309e-06,
                1.3709578605617394e-06,
                8.939699500636112e-06,
                8.481106103659722e-05,
                1.473897669245728e-05
            ],
            [
                0.00013982202375603826,
                4.006369215458579e-05,
                6.605213676969247e-05,
                3.120190019784534e-05,
                0.00010889693519770254,
                6.1441767990323395e-06,
                0.00010889696096937699,
                0.0008040858182925294,
                3.12019262340518e-05,
                0.0001795280504861743
            ],
            [
                0.9997694933128299,
                0.999915188928401,
                0.9999898700066067,
                0.999447221451833,
                0.9940889324051837,
                0.9999785550413638,
                0.9999869928761898,
                0.9999546021097193,
                0.9999869928653352,
                0.9999724643154788
            ],
            [
                0.9465966647389333,
                0.00013982212398861956,
                1.4738978456049602e-05,
                3.2887502415243994e-06,
                0.9947798748505188,
                0.9324533036984186,
                0.00020342689874252275,
                0.9902915236886508,
                0.0002959572390863896,
                5.422219616140078e-06
            ],
            [
                0.99992515377279,
                0.9999339478710932,
                0.9999785550515897,
                0.9989677691800437,
                0.9998415637076825,
                0.999933947831719,
                0.9999151889486094,
                0.9999038975506866,
                0.9998911030778189,
                0.9999417087205958
            ],
            [
                0.9988304895906595,
                0.9999339478317699,
                0.999948557792504,
                0.9999546021205518,
                0.9999756997621677,
                0.9999038975622753,
                0.9999869928715361,
                0.9998415638022159,
                0.9996646497699858,
                0.6224593241981982
            ],
            [
                0.9999038975965122,
                0.9975273763615452,
                0.9999687980997889,
                0.9997965730749817,
                0.9999339478789562,
                0.999088948981605,
                0.9999599363078259,
                0.9902915245661371,
                0.9998911031297076,
                0.9998601778592072
            ],
            [
                0.9998415637457089,
                0.9999646437450824,
                0.9999646437492907,
                0.9999724643089054,
                0.999954602136796,
                0.9997694932577917,
                0.9999339478317142,
                0.9998601778760318,
                0.9999599363078239,
                0.993307148691843
            ],
            [
                0.9980732648866952,
                0.9997694932851432,
                0.9980732651190716,
                0.9990889487749759,
                0.9999339478317142,
                0.9991959141480825,
                0.9997388097843887,
                0.9998204720340488,
                0.9992903295383205,
                0.9995694430133554
            ],
            [
                0.999891103038896,
                0.9996646500118544,
                0.9995694429609864,
                0.0013250221078837637,
                0.9978172839831492,
                0.9999485577618425,
                0.9999151889687554,
                0.9890130594035196,
                0.9953904286795409,
                0.9988304898982682
            ],
            [
                1.370956716519966e-06,
                3.7266379512857925e-06,
                7.889260704050487e-06,
                6.962254589104433e-06,
                3.288747889229516e-06,
                1.7603436330091044e-06,
                7.3382080556433e-07,
                7.338208930443633e-07,
                4.785094494672519e-06,
                6.144177531660828e-06
            ],
            [
                0.9465966749081429,
                0.999968798081189,
                0.9999885212291393,
                0.9998911030518237,
                0.9999151889183009,
                0.9999687980811988,
                0.9999910603036963,
                0.9959298621727359,
                0.9999687980849129,
                0.9999646437324408
            ],
            [
                0.9999251537460085,
                0.9993736657476342,
                0.9998766054694789,
                0.99592986215386,
                0.9933071505864374,
                0.9996200154695835,
                0.9998415638209408,
                0.9998911031167924,
                0.9999251537995594,
                0.0010322309348379205
            ],
            [
                0.9999151889587262,
                0.999664649810164,
                0.9997040429014957,
                0.9998415638213143,
                0.9999599363078182,
                0.9999546021259605,
                0.9890130553555335,
                0.9997388096908217,
                0.9999151889183009,
                0.9999852610127595
            ],
            [
                0.9964063973051975,
                0.9953904287500488,
                0.9997694932851432,
                0.9999038976194108,
                0.9968273168769639,
                0.9997388096908217,
                0.9978172832265649,
                0.9998204720343571,
                0.9997040427610945,
                0.999447221385555
            ],
            [
                0.999941708734492,
                0.9999251537905948,
                0.9999339478789758,
                0.9999251537370755,
                0.9986749778747087,
                0.999569442912563,
                0.9959298614762147,
                0.9796676453587735,
                0.9999038975622327,
                0.9914225157425912
            ],
            [
                0.990291524431828,
                0.9988304897403841,
                0.9988304898661745,
                0.9933071483729815,
                0.9046505318875316,
                0.9525741310298373,
                0.9989677690525576,
                0.924141819456443,
                0.9914225150298016,
                0.99142251306567
            ],
            [
                0.9999646437450779,
                0.9999485577986323,
                0.9999339478238181,
                0.9999646437577323,
                0.9999646437450841,
                0.9999832985781563,
                0.9999038975507579,
                0.9890130596565186,
                0.970687770520593,
                8.481108175582829e-05
            ],
            [
                1.0129994601301684e-05,
                3.726639728184142e-06,
                4.7850967757637256e-06,
                6.144176066443055e-06,
                1.2098655392811161e-06,
                1.0129995806022926e-05,
                2.144495351004062e-05,
                4.785096776251149e-06,
                2.561282210701601e-06,
                2.260324028372372e-06
            ],
            [
                0.9999151889384845,
                0.9996200154256185,
                0.9990889487910293,
                0.9996200154702357,
                0.999915188928393,
                0.999373665824912,
                0.9999417087344882,
                0.9999339478789913,
                0.9997388096299258,
                0.9998415638212313
            ],
            [
                0.9998766054398994,
                0.9999038975392831,
                0.99994855779862,
                0.999978555054148,
                0.9998911031167291,
                0.9999756997476887,
                0.9940889303967502,
                0.9579122755387536,
                0.9975273763500595,
                0.9998766054692472
            ],
            [
                0.999975699762166,
                0.8519528038477825,
                0.9999687980960674,
                0.9999687980737552,
                0.9999885212264009,
                0.9999756997679586,
                0.9999810748449934,
                0.9999251537549052,
                0.9999485577740814,
                0.9999756997621654
            ],
            [
                0.9997388096300779,
                0.9989677690499166,
                0.9890130571062877,
                0.9990889487806979,
                0.999860177892614,
                0.9989677691597564,
                0.9991959140502006,
                0.9995121428826957,
                0.9998601779094832,
                0.9964063978979539
            ],
            [
                0.9998415638021121,
                0.9993736658254949,
                0.9999151889586775,
                0.9993736659738567,
                0.9989677689423576,
                0.9995694429118115,
                0.9998601778927362,
                0.999876605410471,
                0.9997388096599065,
                0.9997040430063856
            ],
            [
                4.785096205717126e-06,
                1.5534975693869924e-06,
                2.2603240283888175e-06,
                1.892514372640862e-05,
                1.9947301970587145e-06,
                6.144173869312763e-06,
                4.785092783371756e-06,
                2.144495607640949e-05,
                1.209865827740176e-06,
                1.209865683500459e-06
            ],
            [
                0.999876605381109,
                0.9998415637836084,
                0.9995121427683967,
                0.9998766054105196,
                0.9996646498125836,
                0.9999038975851299,
                0.999876605469328,
                0.9995694428598808,
                0.9998204720769719,
                0.999290329714788
            ],
            [
                0.9986749775288699,
                0.9989677689261518,
                0.9820137929330515,
                0.998073265103177,
                0.9982992778884049,
                0.9982992776820548,
                0.002472622634040989,
                0.9978172831236248,
                0.9859363737315688,
                0.9324533158993963
            ],
            [
                0.9947798738711798,
                0.9992903297011246,
                0.9999869928668845,
                0.9820137920776683,
                0.997199073621414,
                0.9999810748495047,
                0.9999910603036963,
                0.9999810748517602,
                0.9999785550413638,
                0.9999151889384297
            ],
            [
                0.99996879809608,
                0.9997694932306616,
                0.9999038976080269,
                0.999975699753477,
                0.9968273175801821,
                0.9996200155603212,
                0.00037998457364080276,
                0.9999251537906317,
                0.9994472213221391,
                0.9940889306649062
            ],
            [
                0.9999485577618238,
                0.9978172831418803,
                0.8670357563664174,
                0.9993736658225802,
                0.9999599362934934,
                0.9995694430125411,
                0.9997388095661343,
                0.9902915228380262,
                0.9999251537817438,
                0.9998766054398672
            ],
            [
                2.4300237832303074e-05,
                4.0063696951637786e-05,
                8.481101097331865e-05,
                8.939698435454571e-06,
                0.9875683474317223,
                4.006369217615605e-05,
                3.1201918802543923e-05,
                1.0129988563914856e-05,
                1.0129990979547237e-05,
                5.144221975938208e-05
            ],
            [
                0.9999687980737588,
                0.9999599363030525,
                0.9999485577802278,
                0.9999785550464758,
                0.9999785550413632,
                0.9999417087414281,
                0.9999756997563777,
                0.9999852610233002,
                0.9999251537995278,
                0.9999417087205882
            ]
        ]
    },
    {
        "q_id": "10544_mmlu_computer science",
        "cot_ids": [
            0,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            85,
            86,
            87,
            88,
            89,
            90,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            104,
            105,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            78,
            84,
            91,
            92
        ],
        "rewards": [
            [
                5.144221356106128e-05,
                1.8925145959182802e-05,
                5.1442231898152346e-05,
                3.535626748559663e-05,
                NaN,
                1.0129990973134934e-05,
                NaN,
                0.9998415637456812,
                0.00013982213993014124,
                0.9999038975851613
            ],
            [
                0.9999546021368187,
                0.9999832985841309,
                0.999796573101506,
                0.9999724642957795,
                0.952574130693245,
                0.9991959141075362,
                NaN,
                0.999985261016273,
                0.9999810748472484,
                0.9999832985741818
            ],
            [
                0.9999910603058331,
                0.9998204720773899,
                1.670141978741328e-05,
                2.753568112768684e-05,
                0.9998415637281018,
                0.9999724643023841,
                0.9995694428674964,
                0.999704042866966,
                0.9999417087553741,
                0.9978172837458292
            ],
            [
                0.9999038975509236,
                0.9999546021151565,
                0.9999832985801492,
                0.99998329858413,
                0.99944722139025,
                0.9999885212346123,
                0.00012339454185916228,
                0.9999339478317699,
                0.9999251537817645,
                NaN
            ],
            [
                0.999988521234614,
                0.9999485577925075,
                0.9999417087067621,
                0.9999339478553727,
                0.9999885212305084,
                0.9999485577680443,
                0.999903897539346,
                9.610245929129165e-05,
                0.9998415638401407,
                0.9999038975622327
            ],
            [
                0.9933071490323747,
                0.9999151889688264,
                0.00026119027543571494,
                0.9997965730033938,
                0.9997965730516893,
                0.7549149758396752,
                0.0019267343763270971,
                0.9997965730779887,
                NaN,
                9.61023803298359e-05
            ],
            [
                0.9998415637835808,
                0.9998204720350075,
                0.9999151889789185,
                0.99998329858015,
                0.9999646437577359,
                0.9998601778762657,
                0.9999646437493123,
                0.9999724643023429,
                0.999948557780244,
                0.9999546021097627
            ],
            [
                0.9947798732835762,
                0.9995694428689242,
                0.9986749774385973,
                0.9993736659139947,
                0.9997040430116813,
                0.9997965730322621,
                0.9997965730556493,
                0.9998204720558539,
                0.999195913990667,
                0.9933071498434592
            ],
            [
                0.9999038975623774,
                0.9999599363078342,
                0.9999687980886414,
                0.9998415638400854,
                0.9999038975965325,
                0.9999151889487902,
                0.9999339478632779,
                0.9999646437493017,
                0.9999938558253988,
                0.9998911031170588
            ],
            [
                NaN,
                0.9999546021313795,
                0.9999546021151707,
                0.9996646498558351,
                4.539787894827867e-05,
                0.9999785550439283,
                3.53562675293277e-05,
                0.9999724643187757,
                0.9999599363173987,
                0.9998911031041562
            ],
            [
                1.1478765374700869e-05,
                7.889263521774528e-06,
                4.785093348870112e-06,
                1.0129989761357048e-05,
                NaN,
                4.539786850821919e-05,
                1.147876675124548e-05,
                1.6701421756228474e-05,
                0.9996646497376619,
                6.144175330383673e-06
            ],
            [
                0.9999546021206388,
                0.00010889688251988026,
                0.9999151889791542,
                0.9999938558275967,
                0.0001233946030394099,
                0.9999546021369816,
                0.0003353499762423514,
                0.9999898700066268,
                1.6701423804758938e-05,
                0.9998601779267695
            ],
            [
                1.147876675341695e-05,
                0.9740426420957883,
                2.430024645649969e-05,
                2.753569434050672e-05,
                1.6701427794095925e-05,
                4.539785231635491e-05,
                1.8925157257345735e-05,
                1.6701423827421826e-05,
                4.539787937568435e-05,
                8.481103048871366e-05
            ],
            [
                0.99962001556471,
                0.99997855505164,
                1.3007131557971383e-05,
                0.9998415638214249,
                0.9990889489333915,
                0.9999832985742347,
                0.9997388097243287,
                0.9999785550464806,
                0.9999339478712158,
                0.9999832985841317
            ],
            [
                0.9968273168585551,
                0.9953904272416059,
                0.9994472213275094,
                0.9999417087067817,
                0.9997965730277694,
                0.9998204720772121,
                0.999195914079336,
                0.999968798096133,
                0.9997965731039508,
                0.9997694931800499
            ],
            [
                0.9999417087206125,
                0.9999151889385431,
                NaN,
                0.9999869928761894,
                0.9999646437493142,
                0.9999898700078172,
                0.0006263342215420825,
                0.9999339478633125,
                0.9999921107336535,
                0.9998415638400577
            ],
            [
                3.120190012417845e-05,
                0.9999945777791648,
                0.9998911030524037,
                0.999972464318785,
                0.9999038975511095,
                0.9999251537549292,
                0.99994855777418,
                0.9999339478790884,
                0.9999646437493943,
                0.9997965730531276
            ],
            [
                0.0009110513515448136,
                6.962257075007259e-06,
                NaN,
                8.939694167639847e-06,
                1.0129988558792384e-05,
                1.1478772218923723e-05,
                2.1444945608956077e-05,
                6.962254586622255e-06,
                0.9984988180116413,
                2.4300243590165296e-05
            ],
            [
                0.999959936298325,
                0.9999151889891383,
                0.9999898700126484,
                0.9999546021478227,
                0.9998415637852566,
                0.9999957771645427,
                0.9999546021151833,
                1.3007129983619252e-05,
                0.9998911030658053,
                0.9999852610127797
            ],
            [
                4.785093350245343e-06,
                NaN,
                1.9947290063507336e-06,
                3.535623798797096e-05,
                NaN,
                2.430024069518912e-05,
                2.7535681222849733e-05,
                2.1444950963097686e-05,
                0.2227001491431584,
                0.10669058613457583
            ],
            [
                0.9999724642990917,
                0.9999756997592744,
                0.9999599363126097,
                0.9999687980737659,
                0.999954602142192,
                4.539786295326824e-05,
                3.120192250564146e-05,
                0.9999485577741262,
                0.9999785550465066,
                0.9998204719517602
            ],
            [
                NaN,
                0.0001398221066047136,
                NaN,
                0.0002611902390789822,
                0.001501182019768362,
                2.4300234912928744e-05,
                8.939699499026267e-06,
                5.144220741701067e-05,
                4.5397884837823535e-05,
                1.4738983644200455e-05
            ],
            [
                0.9996200154255522,
                0.9999756997506213,
                0.9968273169572265,
                0.9999898700066094,
                0.9999339478790071,
                0.9997694933401882,
                0.9995121427668356,
                NaN,
                0.9999546021153571,
                0.9999724643122142
            ],
            [
                0.9999810748495092,
                0.9999417087206002,
                0.9998415637838942,
                0.9998415637280349,
                0.9998911030390591,
                0.9998911031169572,
                0.9997965731011569,
                0.9997694932878798,
                0.9997388097902481,
                0.9999599362887799
            ],
            [
                0.9999869928746427,
                NaN,
                0.9996646498911933,
                0.9999599363174084,
                0.99956944285943,
                0.9996200155610399,
                0.9991959141697353,
                NaN,
                0.9999485577741969,
                0.9999546021205469
            ],
            [
                0.9999417087345831,
                NaN,
                0.9999599363126097,
                0.9999832985821404,
                0.9999832985821396,
                0.9999724642957828,
                NaN,
                0.999986992869988,
                0.9999785550592579,
                NaN
            ],
            [
                NaN,
                0.99998329857418,
                1.0129988552896015e-05,
                0.999891103039544,
                0.9982992777439202,
                0.9999251537728434,
                NaN,
                0.9999546021421944,
                3.5356267533443565e-05,
                0.9999646437324458
            ],
            [
                0.9997694932310572,
                0.9993736658660831,
                0.9984988177882836,
                0.9995121429467281,
                0.9933071490726194,
                0.9999417087555027,
                0.9990889488914299,
                0.9988304896544387,
                0.9999546021206008,
                0.9998204720388026
            ],
            [
                0.9999599363031529,
                5.144222494267742e-05,
                0.9999756997505892,
                5.144220733279945e-05,
                2.4300237763084616e-05,
                1.4738983722270186e-05,
                6.60521679167677e-05,
                0.9996200155748031,
                0.9999724643121931,
                0.00026119030085655214
            ],
            [
                0.37754066879814546,
                0.3486451285660856,
                0.9998601778761356,
                4.006371119588617e-05,
                7.484626282603639e-05,
                0.9902915215397046,
                0.004070138287836365,
                9.610242563044638e-05,
                0.9984988177038264,
                1.4738983715299675e-05
            ],
            [
                0.9998601779266475,
                NaN,
                0.0019267344260260673,
                0.9998766053667367,
                0.9999251537908125,
                0.9999546021205821,
                1.4738988951227212e-05,
                0.9998415638399263,
                0.9980732654786056,
                NaN
            ],
            [
                1.670141785237998e-05,
                NaN,
                0.9999756997563805,
                1.1478772225981004e-05,
                1.8925157257965367e-05,
                3.535625486326765e-05,
                4.222833432984412e-06,
                NaN,
                2.144495347235956e-05,
                2.144494328302938e-05
            ],
            [
                0.00033535010241596584,
                0.0005527785439221934,
                0.00012339456005200597,
                0.0003353499867210429,
                0.4378234991142018,
                0.00013982205571026442,
                0.0005527785392914184,
                5.144222589407736e-05,
                4.539786314550164e-05,
                5.144223195990727e-05
            ],
            [
                0.9999038975736347,
                0.9998911030390591,
                5.144223181618673e-05,
                NaN,
                0.9998766054546884,
                0.9997965729788819,
                0.9999038975392727,
                0.9998766053663525,
                0.9999251537640426,
                0.9999785550515996
            ],
            [
                0.9997965730337952,
                0.999915188958804,
                0.998498818088246,
                0.999891103039086,
                0.9999687980886445,
                0.9999646437324665,
                0.9999151889897807,
                0.9999151889188076,
                NaN,
                0.9999785550439827
            ],
            [
                NaN,
                0.9998204720786619,
                0.9997694932865785,
                0.9999810748540259,
                0.9998601778929518,
                0.9998415637657293,
                0.9999251537640186,
                0.9999599363078342,
                0.2942149845400437,
                NaN
            ],
            [
                0.00010889692160756351,
                0.9999417087137148,
                0.00020342706701638398,
                0.9999599362982833,
                7.484625386131644e-05,
                0.9999038975851613,
                0.9999756997477157,
                NaN,
                0.9997965729788375,
                2.4300249383301144e-05
            ],
            [
                0.0010322309213930535,
                0.9997040427626961,
                0.9998415638219251,
                0.9999151889183441,
                0.9999417087414523,
                0.9975273774205156,
                0.9998766054113974,
                0.9999339478320044,
                0.999933947824227,
                0.9947798750246236
            ],
            [
                0.9999485577680656,
                0.9999785550490693,
                0.9999599363030609,
                0.9999952149066464,
                0.9999756997534794,
                NaN,
                0.999968798096135,
                NaN,
                0.9998911031039217,
                0.999948557780244
            ],
            [
                0.9999852610127595,
                0.9998415638409913,
                0.9999785550464798,
                0.9999938558232025,
                0.9999724642958047,
                0.9999417087067002,
                0.9999832985801581,
                0.9999485577986358,
                0.9999785550464899,
                0.9990889489281993
            ],
            [
                0.9999485577924977,
                0.9999945777790917,
                0.9999485578047876,
                0.9999546021259874,
                0.9999930377445854,
                0.9997388097242527,
                0.9999724643154864,
                NaN,
                0.9999417087484003,
                0.9999417087067299
            ],
            [
                0.9999785550490348,
                0.9999910603068948,
                0.9999038975969373,
                0.9999687980737645,
                0.9999756997592727,
                0.9999687980737659,
                0.9999687980849118,
                0.9999599363078342,
                0.999948557798626,
                0.9999599363221485
            ],
            [
                8.939698433145498e-06,
                0.9999756997679742,
                5.144220125462146e-05,
                2.7535687742009534e-05,
                4.0063677800452475e-05,
                1.473897845457507e-05,
                1.3007128462785148e-05,
                1.8925141456801038e-05,
                0.00015843625257381782,
                1.6701415868193372e-05
            ],
            [
                1.6701421825979123e-05,
                NaN,
                NaN,
                1.3007134657464394e-05,
                4.78509449280116e-06,
                7.484622663935169e-05,
                4.222835457664342e-06,
                0.00015843626868245584,
                1.5534977544565482e-06,
                4.539785773786421e-05
            ],
            [
                0.9968273179108049,
                3.53562464218883e-05,
                7.484620026687456e-05,
                3.535625475779862e-05,
                1.4738987228491566e-05,
                0.9964063978579366,
                0.9995121427715756,
                0.9940889299753622,
                7.484620039429623e-05,
                5.144220104091213e-05
            ],
            [
                0.9999687980923594,
                0.9998204720584449,
                0.9998911030649876,
                NaN,
                0.9999546021314398,
                0.9999038976195554,
                0.999985261014518,
                0.9999599363078239,
                0.9999756997621686,
                0.999915188959065
            ],
            [
                0.9992903297199066,
                0.9988304896590623,
                0.9999339478553727,
                0.9999151889385877,
                0.9999724643123791,
                0.9978172834577999,
                0.9999038975395551,
                0.9998911030392508,
                0.9999339478791954,
                0.00020342704362330194
            ],
            [
                0.999620015516876,
                0.9993736657008887,
                NaN,
                0.9999339478317756,
                0.9995121429507585,
                0.9993736658345672,
                0.9998911031040801,
                0.999290329490437,
                0.997817283291473,
                0.9999251537817851
            ],
            [
                NaN,
                0.9997040427619297,
                3.535625906993841e-05,
                5.422218968349347e-06,
                4.006371119297127e-05,
                2.430024359458538e-05,
                1.3007134649798706e-05,
                1.6701419849447602e-05,
                0.9998204720836613,
                6.605216023019448e-05
            ],
            [
                0.34864513533394575,
                0.9875683486208527,
                0.9999417087275482,
                0.9996646500118544,
                0.9933071486546942,
                0.9996200155195181,
                0.0003353502589720028,
                0.9999546021151996,
                0.9933071480819817,
                0.9999687980774782
            ],
            [
                NaN,
                0.9999724643089085,
                0.9999646437325065,
                0.999972464318766,
                NaN,
                0.9999646437493017,
                0.9999852610215588,
                0.9999724643121878,
                0.9999810748517658,
                0.9999832985721857
            ],
            [
                0.9998911031169002,
                0.9999038975975806,
                NaN,
                NaN,
                0.9999251537372568,
                0.0001398220895056251,
                0.9999151889890594,
                0.9999646437621322,
                NaN,
                0.999954602131461
            ],
            [
                0.9840936105915636,
                0.9999151889789265,
                0.9999832985821414,
                0.9998601779427884,
                0.9999038975392727,
                0.9997694932306012,
                0.9999646437366552,
                0.999903897573697,
                0.9997388097563841,
                0.9999417087205882
            ],
            [
                4.006369194004912e-05,
                1.0129988544567392e-05,
                3.5356259091803945e-05,
                NaN,
                3.535625062289875e-05,
                0.00012339460277907598,
                0.9997965730293499,
                0.9997040427974756,
                7.484622708369406e-05,
                5.144220743759563e-05
            ],
            [
                0.9999339478241169,
                1.3007125351889727e-05,
                1.670142382681424e-05,
                7.889265400583057e-06,
                NaN,
                1.0129988558792384e-05,
                6.144175329690753e-06,
                1.8925154997134284e-05,
                0.9988304898542075,
                1.0129989768911772e-05
            ],
            [
                4.785093922254353e-06,
                0.9988304895540782,
                4.785096774693134e-06,
                0.9991959141016435,
                0.9984988179039759,
                0.9859363725951745,
                NaN,
                0.9978172837539427,
                2.4300240670790274e-05,
                0.9999885212346187
            ],
            [
                0.9996646498931935,
                0.9998204720767708,
                0.9998766054546884,
                0.9999810748427413,
                0.9999785550439243,
                0.99956944296403,
                0.999975699753477,
                4.222834951246548e-06,
                0.9999251537995464,
                1.892515272983176e-05
            ],
            [
                0.9998601779275141,
                0.9999785550439492,
                0.0021827165158312496,
                0.9999339478318775,
                8.481104077335577e-05,
                0.9999756997563877,
                0.9997965729304916,
                0.9998766053811916,
                0.9999546021314468,
                0.9999599362935764
            ],
            [
                NaN,
                0.9999810748449929,
                NaN,
                0.9999832985701935,
                7.484622652717702e-05,
                0.9999251537638956,
                0.9999646437366768,
                0.999968798096133,
                0.0001088968957804414,
                0.9999687980998067
            ],
            [
                1.4738978445861935e-05,
                6.144172403470001e-06,
                9.610246030369014e-05,
                7.484620024237041e-05,
                0.9964063979396386,
                NaN,
                3.1201918798457626e-05,
                0.00015843617673322858,
                0.984093606626254,
                0.00012339460377552646
            ],
            [
                0.9998204720986045,
                NaN,
                0.9999251537908458,
                0.9999885212305073,
                0.9999339478475265,
                0.9999485577802343,
                0.9999339478474795,
                7.889263519736775e-06,
                NaN,
                0.9999251537732855
            ],
            [
                NaN,
                NaN,
                5.144221961079603e-05,
                2.430024927067745e-05,
                NaN,
                2.144494836302712e-05,
                0.00017952800622309288,
                0.9999251537461092,
                8.48110811307774e-05,
                NaN
            ],
            [
                0.9998766053665393,
                0.9964063973252062,
                0.9999151889384845,
                0.999915188968851,
                0.9998204720356735,
                0.9999599362982898,
                0.9998204720147356,
                0.9999339478241318,
                8.48110304072658e-05,
                0.9982992776949022
            ],
            [
                5.422220907554695e-06,
                1.7603438428028262e-06,
                1.892515725149365e-05,
                1.6701427805275476e-05,
                1.147876675124548e-05,
                NaN,
                0.9997694932859279,
                NaN,
                NaN,
                5.422217672097438e-06
            ],
            [
                0.9995121428277175,
                0.9999417087067621,
                0.8519528076067262,
                NaN,
                0.9982992778020303,
                0.9997388096936793,
                0.9995121427687655,
                0.9998911030909432,
                0.9999724642990595,
                0.9999251537639021
            ],
            [
                0.00010889690859576355,
                0.999968798077481,
                0.9999810748562752,
                0.9999339478396881,
                0.9999485577925961,
                0.9997040427595703,
                0.9996200155664124,
                0.999954602142233,
                0.9999785550413696,
                0.9997965730522931
            ],
            [
                0.9999646437577393,
                0.9998204720768361,
                NaN,
                0.9999687980886359,
                0.9993736659117721,
                NaN,
                7.88926634305847e-06,
                0.9999785550490361,
                0.9999724643154776,
                0.9996646498578938
            ],
            [
                0.9992903297258094,
                0.999841563726774,
                0.9999810748472588,
                NaN,
                0.9998204720134662,
                0.9997040429376617,
                0.9994472213254835,
                0.9998766054105537,
                NaN,
                0.9998766054693604
            ],
            [
                3.288749065125496e-06,
                1.4738981963234875e-05,
                1.8925157254522964e-05,
                5.1442201131485964e-05,
                1.0129987344914205e-05,
                7.889260703619978e-06,
                3.5356259082286005e-05,
                1.0129995806888955e-05,
                6.9622562487453084e-06,
                2.7535691022025e-05
            ],
            [
                0.9980732649001274,
                5.144221351278017e-05,
                2.1444950945466384e-05,
                0.9940889321151374,
                0.037326888281170874,
                0.00012339455912557665,
                1.1478773587743728e-05,
                0.9947798739703227,
                1.8925157250667477e-05,
                0.00017952800788955355
            ],
            [
                0.999738809660826,
                0.9999599362983042,
                0.9999485577926469,
                0.9999646437450824,
                0.9998911031038282,
                0.9999339478396017,
                6.605216010765143e-05,
                NaN,
                0.9999417087138107,
                0.991422512986471
            ],
            [
                0.9999687980849379,
                0.00010889692092306546,
                NaN,
                0.999964643736683,
                0.9999485577618926,
                0.9999756997650695,
                0.9999485577619706,
                0.9999810748540267,
                0.9999910602994342,
                0.9999724643154838
            ],
            [
                0.9999646437535178,
                9.610240322624624e-05,
                0.9999724643121964,
                0.9999546021367883,
                NaN,
                0.9993736658538775,
                0.9998766053970773,
                0.9998415638408991,
                9.610246026313827e-05,
                NaN
            ],
            [
                7.484623586490171e-05,
                0.9999417087136563,
                NaN,
                0.999876605469696,
                NaN,
                0.9999756997534994,
                0.999994577780384,
                0.8933094110250331,
                0.9999970976876704,
                0.999972464315472
            ],
            [
                0.999088949002056,
                0.9996200154266577,
                0.9999599363221815,
                NaN,
                0.99990389755102,
                0.9964063970584242,
                1.3007125359413455e-05,
                0.9999339478317647,
                0.9997965729788819,
                0.999769493285311
            ],
            [
                1.8925148232956223e-05,
                0.999964643732451,
                0.9997694933157342,
                0.9999756997592719,
                0.9999810748449987,
                0.9999832985841349,
                0.9998766054549163,
                0.9999417087554858,
                0.9999417087554018,
                0.9991959141894706
            ],
            [
                5.8291244214402784e-05,
                0.9997040429417863,
                0.9999646437367209,
                0.9999869928715392,
                0.9999646437450873,
                0.9999646437450873,
                NaN,
                0.9999599363030652,
                0.00017952798547330796,
                0.9999599362887583
            ],
            [
                0.9997040429401589,
                4.0063677765182186e-05,
                0.9999546021422361,
                0.0002611903317871407,
                0.9999485577679982,
                0.9947798753196343,
                NaN,
                9.610243695839902e-05,
                0.0002034270392430187,
                NaN
            ],
            [
                0.9999646437577848,
                0.9999646437619537,
                0.9998601779447372,
                0.9998601779596474,
                0.9999038975627829,
                0.9999910603005029,
                0.9999724643155466,
                0.999903897596522,
                0.999820472076904,
                0.9999785550516165
            ],
            [
                NaN,
                0.0009110511132324612,
                2.430023202688216e-05,
                3.5356267537559426e-05,
                1.4738978443234588e-05,
                7.889266344766165e-06,
                5.1442231236439034e-05,
                5.144219494102712e-05,
                7.484620918748056e-05,
                0.002800926759020172
            ],
            [
                0.00026119042513370326,
                0.9995121429159608,
                0.00012339455828891765,
                9.610242520535104e-05,
                0.999860177860194,
                0.9999646437535704,
                0.00015843615851996666,
                0.9999785550567096,
                0.9999151889791641,
                0.9990889488130168
            ],
            [
                0.999948557798626,
                0.9999930377445809,
                0.9999485577680322,
                0.00020342694067483115,
                0.00015843619561269103,
                NaN,
                0.9998911030389086,
                0.9999599363080159,
                0.9999646437493,
                0.9999251537370939
            ],
            [
                0.0001584362918011666,
                1.6701419782917155e-05,
                0.0004305570818131081,
                5.1442225815854466e-05,
                0.00012339461809748284,
                0.00013982210724351363,
                NaN,
                0.00023050679545582247,
                0.00012339458954513738,
                0.00012339454485748924
            ],
            [
                0.9999151889289157,
                0.9995694429156191,
                8.481102102348735e-05,
                5.1442219132476216e-05,
                0.9999869928684474,
                0.9988304899798619,
                0.9994472213948808,
                0.9984988178537204,
                0.9998204720134662,
                0.9999339478632836
            ],
            [
                0.9999898700054115,
                0.9989677690805276,
                NaN,
                0.9999038975966703,
                0.9998204719499423,
                0.9999339478474896,
                0.999664649980155,
                0.9997965729577203,
                0.9994472212697856,
                0.9999339478555994
            ],
            [
                0.9964063975277938,
                0.9924227598001553,
                4.006370170788174e-05,
                NaN,
                1.6701425762516573e-05,
                5.144223809946954e-05,
                0.9947798741661905,
                0.9902915230618748,
                4.539786847485909e-05,
                0.9964063982647793
            ],
            [
                0.6224593312018546,
                0.9996646497336422,
                0.9999151889790666,
                0.999968798077518,
                0.9999151889185163,
                8.481107127064662e-05,
                0.9998204720558539,
                0.9998766053817967,
                0.9997965730527784,
                0.0001233946174098422
            ],
            [
                0.9999599363222165,
                0.9999646437535146,
                0.9999546021313769,
                0.9964063969383722,
                NaN,
                NaN,
                0.99994170874144,
                0.9990889486948142,
                0.999933947847691,
                0.999985261011041
            ],
            [
                0.00012339457404539803,
                2.4300243607668818e-05,
                0.0001233945740669429,
                NaN,
                4.539788476119438e-05,
                9.610242537594852e-05,
                1.30071315602427e-05,
                1.6701419840455358e-05,
                2.75357009372024e-05,
                NaN
            ],
            [
                0.9991959139786948,
                0.999876605455103,
                0.9968273172024325,
                0.00010889696057483979,
                0.9996646497354862,
                0.999841563784074,
                0.9998204720557154,
                0.9995694428690245,
                0.9999599362984871,
                0.999891103129893
            ],
            [
                0.9997965730526778,
                NaN,
                NaN,
                6.605217564995626e-05,
                0.9999646437619502,
                0.0004878570716357994,
                0.9998415637648419,
                0.9999898700102344,
                0.9999151889488297,
                NaN
            ],
            [
                2.430023780286534e-05,
                4.539786842002963e-05,
                0.9933071503140121,
                8.481104008721931e-05,
                0.9998766054400844,
                4.5397857701531434e-05,
                0.9998911031172772,
                0.9982992777858228,
                0.999933947871496,
                4.539785756809109e-05
            ],
            [
                1.6701419846288166e-05,
                6.14417606469958e-06,
                0.9995694429851606,
                4.006368256747928e-05,
                2.7535694335498144e-05,
                0.00013982214017019991,
                0.9995694428199997,
                1.4738987232888351e-05,
                1.4738981968462759e-05,
                2.4300243618542217e-05
            ],
            [
                5.144221961079603e-05,
                0.9998911030527158,
                NaN,
                0.9998911030520361,
                0.9999646437577374,
                0.001926734992415325,
                0.9999038975967737,
                0.9997965730040507,
                0.9999952149072173,
                NaN
            ],
            [
                0.00010889690906952487,
                0.9999546021206174,
                0.00013982213869526323,
                6.605217613436184e-05,
                0.9997965729545506,
                5.1442219688644636e-05,
                0.999447221336578,
                0.9998911030523878,
                0.9999546021368217,
                NaN
            ],
            [
                6.962253755294928e-06,
                1.6701427809710842e-05,
                6.9622545872301346e-06,
                1.8925145970336176e-05,
                1.300712845966209e-05,
                3.535625068579429e-05,
                5.144219518243253e-05,
                1.0129993393319151e-05,
                1.473898020838208e-05,
                3.1201926214528354e-05
            ],
            [
                2.753568776925618e-05,
                NaN,
                0.00012339454499214465,
                3.1201903906162046e-05,
                0.00010889694786250314,
                0.00020342689969552968,
                2.9023126766305067e-06,
                0.9998415638221764,
                2.1444945840269323e-05,
                6.144177530425867e-06
            ],
            [
                0.999903897608289,
                2.902312675886131e-06,
                4.222833941114945e-06,
                0.9989677688906189,
                0.0006263341230957593,
                1.6701423824262386e-05,
                1.1478770856158943e-05,
                1.892515047588602e-05,
                0.9859363734474703,
                NaN
            ],
            [
                7.889260695325465e-06,
                7.484623583876392e-05,
                NaN,
                7.889262581595514e-06,
                5.8291244479465225e-05,
                0.0003799845438259966,
                1.147876535879068e-05,
                NaN,
                0.0009110511067686765,
                7.484624459601297e-05
            ],
            [
                2.7535694333695055e-05,
                1.670142581883963e-05,
                0.9902915247183541,
                7.484626283964982e-05,
                5.829127881672385e-05,
                2.4300232032009452e-05,
                NaN,
                2.7535704207102113e-05,
                5.422218950487625e-06,
                1.6701427811898146e-05
            ],
            [
                0.9999339478238862,
                5.14422074608005e-05,
                6.605214446443249e-05,
                0.9999599363078364,
                0.9999038975395789,
                0.00010889694715423763,
                NaN,
                0.9997694931765422,
                0.9999038975738075,
                5.829126539607611e-05
            ],
            [
                0.9998601779109094,
                0.9998911031038282,
                0.9998415637834978,
                0.9998911031041878,
                0.9999546021313795,
                0.9999687980998114,
                0.9999038975508111,
                0.9999646437535213,
                0.9998204720351981,
                0.9999945777810311
            ],
            [
                0.00013982208953410664,
                9.610246066446198e-05,
                0.9947798748747001,
                0.9998204719922593,
                0.07585818315512396,
                0.9998601778776715,
                0.9975273765987224,
                5.144222581173747e-05,
                0.9998601778599723,
                0.9993736659899973
            ],
            [
                2.9023130207908107e-06,
                6.962253759581752e-06,
                0.0001233945593607748,
                0.00015843623200695293,
                4.222833946537913e-06,
                6.605216822432677e-05,
                6.962258732597129e-06,
                1.6701423813386632e-05,
                6.605215240858454e-05,
                2.2603237582080306e-06
            ],
            [
                0.9999910603047633,
                0.9999339478634154,
                7.484626261802305e-05,
                0.9999151889590318,
                0.9997388097577672,
                0.9999952149037954,
                0.9999930377454113,
                NaN,
                0.999860177859783,
                0.8933093968230773
            ],
            [
                NaN,
                0.00029595708841219836,
                NaN,
                5.829128619521875e-05,
                3.5356263314938686e-05,
                4.785096772273422e-06,
                3.120192250564146e-05,
                6.605214426644143e-05,
                0.003172682428654193,
                0.0003799844700130808
            ],
            [
                0.9999687980849485,
                0.9994472214739578,
                0.999903897552087,
                0.00010889688281934806,
                0.9999038975740172,
                0.9999546021368443,
                0.9964063975478026,
                0.9994472212788541,
                0.9997694932342833,
                0.9993736658530031
            ],
            [
                0.9999910603015668,
                0.9999038975508214,
                0.999948557786439,
                0.9999756997477076,
                0.9999339478711341,
                0.9998601779429186,
                0.9999151889384686,
                0.9999970976890534,
                4.539789014042939e-05,
                0.9999724643187611
            ],
            [
                0.9999251537638819,
                0.9998415637833893,
                9.610237933981169e-05,
                0.9998911030650717,
                0.03732689162774753,
                0.9999852610197877,
                0.9997040427968126,
                0.9998911030785826,
                0.9998601779112308,
                NaN
            ],
            [
                4.006368255581968e-05,
                1.473898371722997e-05,
                5.8291258493848154e-05,
                1.2098662602046953e-06,
                1.6701417842658638e-05,
                1.892515048449202e-05,
                1.473897845240349e-05,
                1.4738981915299209e-05,
                1.892514597343433e-05,
                4.222834953712232e-06
            ],
            [
                9.610239064818212e-05,
                0.9998204719932179,
                0.9998204720567472,
                0.037326888281170874,
                0.9999687980923763,
                0.00010889690833273887,
                0.9998766054694448,
                0.9991959140733967,
                0.9999546021423262,
                0.9997965730798888
            ],
            [
                0.9990889487101261,
                5.144219497096888e-05,
                2.753568451218037e-05,
                3.5356242104347975e-05,
                0.9988304895882116,
                0.994088931305197,
                0.8354835391516133,
                0.9933071482120028,
                0.9996646499778719,
                5.8291244514241416e-05
            ],
            [
                0.9997040428001364,
                0.9998911030395773,
                NaN,
                0.999968798077481,
                0.9999251537728939,
                6.9622578961783055e-06,
                0.9998766054546542,
                0.9997040428315234,
                0.9999687980849312,
                0.9999546021422518
            ],
            [
                0.00023050671269041694,
                0.9999151889283524,
                0.9997040427980526,
                0.999876605425486,
                0.9998601779429858,
                0.9999546021314878,
                0.9999038975507789,
                0.9999151889589786,
                0.9997965730054833,
                0.9999251537460401
            ],
            [
                3.120192617752461e-05,
                5.144221973505439e-05,
                0.0003799844452392718,
                0.00010889692176918111,
                5.8291286260530174e-05,
                0.00017952794313529124,
                0.0001088969475471903,
                2.753568776925618e-05,
                4.5397868609620665e-05,
                1.4738976695459959e-05
            ],
            [
                0.9999038976203876,
                0.9989677689722484,
                0.679178699175393,
                0.9999885212359824,
                NaN,
                0.9999687980774796,
                0.9875683489524372,
                NaN,
                0.9999687980812827,
                0.9999910603005041
            ],
            [
                0.9999756997592951,
                0.9999485577741191,
                0.999978555046477,
                1.4738983706452486e-05,
                NaN,
                2.4300232006903406e-05,
                0.9999546021097396,
                NaN,
                0.9998415637644547,
                7.484626254505505e-05
            ],
            [
                0.9999417087137658,
                0.9964063976670208,
                0.9998766054550653,
                2.4300249398417826e-05,
                0.9999151889385179,
                0.9994472214753084,
                0.9953904277565276,
                3.5356242174060406e-05,
                0.9991959142004607,
                0.9996200155196728
            ],
            [
                0.999796573078634,
                0.9999756997593063,
                0.9999485577986705,
                0.999933947863251,
                0.9999646437450943,
                0.9998601779429858,
                9.610237970897326e-05,
                0.9999038975622432,
                0.9999485577802343,
                0.9999756997476897
            ],
            [
                9.610240292700156e-05,
                NaN,
                0.0001398221064806155,
                3.5356246343429655e-05,
                0.00010889692096426211,
                4.2228354435692286e-06,
                0.00026119033508539044,
                0.999841563726774,
                4.006370164200498e-05,
                0.9998204720345686
            ],
            [
                0.9999930377420911,
                0.9999724643089085,
                0.9998766053812616,
                0.9999599362982671,
                0.9999910603015663,
                0.9999810748427379,
                0.9999251537638694,
                0.9999921107336538,
                0.9998204720341167,
                0.9999546021476033
            ]
        ]
    },
    {
        "q_id": "10756_mmlu_computer science",
        "cot_ids": [
            0,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            22,
            23,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            75,
            76,
            77,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            123,
            124,
            125,
            126,
            127,
            1,
            74
        ],
        "rewards": [
            [
                NaN,
                NaN,
                3.7266383951544193e-06,
                0.00010889690883660543,
                NaN,
                4.785093353626844e-06,
                8.315281263482595e-07,
                1.6701421825128502e-05,
                2.260324027864602e-06,
                6.962257907702715e-06
            ],
            [
                1.300713311155064e-05,
                1.8925157255280296e-05,
                1.1478766739385913e-05,
                5.422219598519996e-06,
                NaN,
                1.8925143722381014e-05,
                8.939699495546396e-06,
                1.0129989768322136e-05,
                1.30071331025127e-05,
                6.144173133963328e-06
            ],
            [
                2.260324565068643e-06,
                3.7266410598992754e-06,
                NaN,
                NaN,
                NaN,
                5.144220709139397e-05,
                NaN,
                3.2887494557618747e-06,
                0.1480471923932738,
                NaN
            ],
            [
                1.4738976695942536e-05,
                8.939695234170549e-06,
                0.00013982211944378072,
                NaN,
                NaN,
                1.4738985474174337e-05,
                1.0129987354882753e-05,
                8.939697367264857e-06,
                2.4300234909039074e-05,
                8.939694161688297e-06
            ],
            [
                NaN,
                NaN,
                1.5534981224961625e-06,
                NaN,
                6.962258737092915e-06,
                0.9999599362935014,
                6.144177530146464e-06,
                0.9999646437453117,
                NaN,
                6.144177529855884e-06
            ],
            [
                8.93969736547614e-06,
                1.0677027424126628e-06,
                NaN,
                3.2887482795576732e-06,
                1.4738988996240646e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                8.939697366793286e-06,
                6.962254587420098e-06,
                2.260324297262181e-06,
                1.4738980198033555e-05,
                0.9999869928669071,
                1.0129988561906404e-05,
                8.93969417167259e-06,
                4.785094491756681e-06,
                6.962257907158154e-06,
                6.144172403715875e-06
            ],
            [
                1.6701421837158667e-05,
                3.7266388390502134e-06,
                1.1478764016446877e-05,
                2.902312329566651e-06,
                7.889264462470271e-06,
                NaN,
                4.785093353626844e-06,
                0.9971990729593935,
                3.7266410600755218e-06,
                4.785096776251149e-06
            ],
            [
                8.93969949421299e-06,
                3.7266406151558796e-06,
                4.7850944870565235e-06,
                0.009708474332528232,
                1.4738988996240646e-05,
                6.144176063626673e-06,
                NaN,
                1.0129988559492579e-05,
                1.14787735942999e-05,
                0.9940889317621566
            ],
            [
                5.422218964808563e-06,
                5.422220261948442e-06,
                1.012999338195021e-05,
                NaN,
                0.999820471949903,
                NaN,
                NaN,
                NaN,
                4.222835457526079e-06,
                0.9998415637835254
            ],
            [
                6.962258737472841e-06,
                NaN,
                1.2098661154824165e-06,
                4.222834450820197e-06,
                8.939697363264635e-06,
                3.726640616477725e-06,
                1.9947292451455633e-06,
                4.2228349536200574e-06,
                2.561283430682004e-06,
                7.88926164064169e-06
            ],
            [
                1.012998856015592e-05,
                4.785093351568349e-06,
                5.422218322763051e-06,
                3.2887478889034873e-06,
                1.5534983100595462e-06,
                8.939700562695657e-06,
                5.422218967797024e-06,
                5.422217675223978e-06,
                2.2603234891147668e-06,
                4.7850927830845245e-06
            ],
            [
                NaN,
                NaN,
                4.222833946845163e-06,
                NaN,
                NaN,
                1.1478770846679639e-05,
                1.147876671078098e-05,
                NaN,
                4.785095064044355e-06,
                4.785093922393616e-06
            ],
            [
                1.3007133100619938e-05,
                1.99473067214238e-06,
                NaN,
                7.889259759222289e-06,
                1.3709578605542582e-06,
                4.222833947282995e-06,
                7.889264465986113e-06,
                1.892515718319642e-05,
                NaN,
                7.889259761704902e-06
            ],
            [
                4.785093353013212e-06,
                3.28874945711983e-06,
                2.902312676398219e-06,
                8.939698430218506e-06,
                3.2887502400378273e-06,
                6.962259566635186e-06,
                NaN,
                NaN,
                NaN,
                2.5612822101436936e-06
            ],
            [
                5.1442219558772205e-05,
                1.147876534643001e-05,
                4.006367761885424e-05,
                5.422220906065395e-06,
                0.00013982202316809844,
                NaN,
                NaN,
                4.006370151287486e-05,
                1.3007126896099073e-05,
                1.6701427774227924e-05
            ],
            [
                NaN,
                3.7266379507909478e-06,
                7.889266345397582e-06,
                2.2603248365343694e-06,
                1.7603430033799313e-06,
                1.4738981968060613e-05,
                NaN,
                1.1478770842921325e-05,
                NaN,
                5.422220907791405e-06
            ],
            [
                NaN,
                1.9947304347098384e-06,
                5.422218321855664e-06,
                4.22283344433731e-06,
                7.33820980391927e-07,
                4.222832939548183e-06,
                4.222831932543332e-06,
                3.726639283129085e-06,
                6.962258739169842e-06,
                7.88925973339163e-06
            ],
            [
                2.430023201636237e-05,
                4.785096204415878e-06,
                5.42221767462234e-06,
                7.889263522291142e-06,
                7.889260699630574e-06,
                5.422220261544064e-06,
                2.260324027708365e-06,
                2.26032375545744e-06,
                1.4738985454496043e-05,
                2.9023133689317184e-06
            ],
            [
                7.8892625849535e-06,
                3.2887502406420278e-06,
                1.0677024881004167e-06,
                2.902312677007974e-06,
                5.422217676979575e-06,
                2.561283126048207e-06,
                NaN,
                3.726640172337686e-06,
                3.726640171517464e-06,
                1.3709570433536782e-06
            ],
            [
                0.06754668738548217,
                5.8291286270284484e-05,
                0.9988304897183538,
                0.0011695102869498544,
                0.9859363701932501,
                0.11920292202211755,
                7.889265406294507e-06,
                7.889261644057078e-06,
                0.09534946618445304,
                4.785095062320964e-06
            ],
            [
                2.5612825153504304e-06,
                1.760344052174704e-06,
                4.785093923116048e-06,
                3.28875024040274e-06,
                1.5534983097133865e-06,
                1.1478766753082876e-05,
                NaN,
                3.7266392829528392e-06,
                3.2887502408573863e-06,
                4.785093923420688e-06
            ],
            [
                3.288750633139005e-06,
                7.889260703462123e-06,
                2.2603251060142746e-06,
                5.4222215172896204e-06,
                2.902311984683171e-06,
                3.7266392838544054e-06,
                1.9947294834143063e-06,
                6.144177531208195e-06,
                2.9023109469842055e-06,
                2.260324028045508e-06
            ],
            [
                1.4738983714656244e-05,
                0.00026119029622076397,
                5.144219449639201e-05,
                3.535626329924694e-05,
                3.120191130543e-05,
                5.8291285850001175e-05,
                1.670142580419685e-05,
                2.4300252281460812e-05,
                NaN,
                1.0129988534175042e-05
            ],
            [
                1.4738987238035806e-05,
                8.9396930985075e-06,
                5.422220908703723e-06,
                4.222833444168322e-06,
                NaN,
                8.93970055911822e-06,
                2.4300252310279753e-05,
                8.315277301416325e-07,
                3.120190015868497e-05,
                2.1444953516281788e-05
            ],
            [
                6.144175330584843e-06,
                4.222832436687113e-06,
                8.939697352142063e-06,
                1.8925152750176348e-05,
                6.144176057613919e-06,
                1.473898367701548e-05,
                NaN,
                3.7266392836374875e-06,
                1.0129989766700635e-05,
                0.000295957198193038
            ],
            [
                2.561281294616881e-06,
                1.553497754391555e-06,
                1.147876674301895e-05,
                5.1442213565178264e-05,
                6.9622562489985925e-06,
                2.5612834315811786e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                3.2887494572095624e-06,
                1.5534971979706895e-06,
                6.14417313533799e-06,
                5.422220907909759e-06,
                2.260323758806253e-06,
                3.28874945711983e-06,
                6.144172392517408e-06,
                4.222832936867425e-06,
                2.5612812936105517e-06
            ],
            [
                0.9997965729570574,
                0.20181321505933414,
                1.0129994599624903e-05,
                0.9988304896876201,
                0.9978172838776737,
                0.9998204719959658,
                0.99929032972131,
                2.9023112924403614e-06,
                0.9997388097278398,
                0.9914225131448688
            ],
            [
                4.785094493932679e-06,
                1.147876948575242e-05,
                6.1441767935169226e-06,
                6.144172402609439e-06,
                1.012999460108057e-05,
                6.962257906968191e-06,
                6.144174601208867e-06,
                1.9947304345193483e-06,
                1.3007123800251481e-05,
                2.5612812940671274e-06
            ],
            [
                7.889266344981421e-06,
                5.043475883985273e-07,
                4.785095062930243e-06,
                1.994729008074216e-06,
                2.902312330965655e-06,
                6.962253752762092e-06,
                8.939697362939413e-06,
                2.5612812946681295e-06,
                1.8925152721432305e-05,
                4.2228334426935205e-06
            ],
            [
                NaN,
                NaN,
                1.012998855521771e-05,
                NaN,
                1.0129988561648438e-05,
                9.42244481461251e-07,
                1.147876400345982e-05,
                1.3007130010117919e-05,
                0.966914020538704,
                8.939697367037201e-06
            ],
            [
                NaN,
                6.962259565039499e-06,
                2.1444948375821515e-05,
                1.994730671950076e-06,
                NaN,
                7.889262582341733e-06,
                1.0,
                4.785093346781154e-06,
                3.726639727526609e-06,
                NaN
            ],
            [
                3.288747887413925e-06,
                3.2887506326006084e-06,
                1.7603440522579571e-06,
                2.2603240280866228e-06,
                2.260324297607547e-06,
                9.422444815628016e-07,
                1.370957860466977e-06,
                3.927863406961518e-07,
                2.260324566421325e-06,
                9.422449308335287e-07
            ],
            [
                1.4738980204575109e-05,
                6.962259563975707e-06,
                1.012999218340202e-05,
                5.422219609684806e-06,
                1.012999459934851e-05,
                0.99951214295635,
                6.9622545849505825e-06,
                NaN,
                1.0129993391236997e-05,
                4.2228354571957855e-06
            ],
            [
                1.0129988562164371e-05,
                1.6701421838799146e-05,
                1.9947304346826253e-06,
                3.288750633139005e-06,
                1.553497198826904e-06,
                NaN,
                3.2887486732000038e-06,
                2.902311293034278e-06,
                7.88926257993087e-06,
                1.9947290079889487e-06
            ],
            [
                3.288747888478753e-06,
                2.2603237588597026e-06,
                1.9947304347570075e-06,
                2.9023130224326608e-06,
                9.422444811476017e-07,
                2.9023133683457202e-06,
                1.3709576970824327e-06,
                1.553497754391555e-06,
                1.7603434226438436e-06,
                NaN
            ],
            [
                3.7266401721817755e-06,
                5.422218969661113e-06,
                1.7603434228679863e-06,
                5.71500242637956e-07,
                8.939694164550245e-06,
                1.553497754476329e-06,
                2.5612819052072116e-06,
                2.9023130227124616e-06,
                9.422442569028803e-07,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.4738981947041843e-05,
                NaN,
                NaN,
                3.5356267300897154e-05,
                0.0002959572135377315,
                NaN
            ],
            [
                1.0129987351621326e-05,
                1.3007131558917768e-05,
                2.260325105911487e-06,
                3.7266388396975786e-06,
                2.144494835538169e-05,
                7.889264465067689e-06,
                1.3709567163940317e-06,
                6.9622562492265485e-06,
                1.994729245822257e-06,
                6.962253756460032e-06
            ],
            [
                6.962259567749634e-06,
                1.8925152744771773e-05,
                3.2887478876292838e-06,
                4.7850950608761e-06,
                4.222835457003754e-06,
                1.0129990978847043e-05,
                4.006368258904954e-05,
                4.222833443461647e-06,
                NaN,
                7.889263521487523e-06
            ],
            [
                6.962256244819412e-06,
                2.2603240279591663e-06,
                NaN,
                NaN,
                2.7535684477821552e-05,
                1.1478769472640081e-05,
                4.222833946537913e-06,
                3.72663972679451e-06,
                6.962257907702715e-06,
                NaN
            ],
            [
                1.8925150468863527e-05,
                6.1441767987808774e-06,
                2.2603240281236263e-06,
                4.785096775676685e-06,
                NaN,
                2.902311292783513e-06,
                0.9998766054255219,
                5.422218317012977e-06,
                2.2603251060142746e-06,
                1.0129994598482479e-05
            ],
            [
                1.0677031245186523e-06,
                1.1478764012062179e-05,
                NaN,
                3.288749065209246e-06,
                1.994730434735237e-06,
                NaN,
                2.561281599776919e-06,
                3.726640614559354e-06,
                2.5612834308404076e-06,
                3.4663252631192346e-07
            ],
            [
                0.9999485577806744,
                0.9999687980738248,
                3.7266388391247794e-06,
                0.9995694428170439,
                0.999991060303708,
                0.9999417087558017,
                0.9999251537730643,
                0.9993736657816641,
                0.999860177960809,
                6.144177528235347e-06
            ],
            [
                2.75356844906435e-05,
                6.962254585938389e-06,
                NaN,
                1.3007125359792008e-05,
                NaN,
                1.3709568797023994e-06,
                NaN,
                NaN,
                1.8925155003330605e-05,
                0.9997694932893485
            ],
            [
                NaN,
                8.315277301265073e-07,
                1.553497568335798e-06,
                NaN,
                2.902311291051917e-06,
                7.889261638230827e-06,
                1.8925141448401585e-05,
                0.9999687980971791,
                4.22283193338827e-06,
                3.2887502408573863e-06
            ],
            [
                1.9947304287429576e-06,
                3.726637932542715e-06,
                4.222834953520201e-06,
                1.0129995797510037e-05,
                1.8925154965188806e-05,
                NaN,
                NaN,
                4.22283294007051e-06,
                NaN,
                3.2887486729337966e-06
            ],
            [
                NaN,
                5.4222170250515875e-06,
                3.2887494569044713e-06,
                1.0677024878858105e-06,
                NaN,
                2.9023123285002407e-06,
                1.0677027427068966e-06,
                1.147876400087076e-05,
                3.726641060658489e-06,
                2.260325375354421e-06
            ],
            [
                NaN,
                3.2887506310811342e-06,
                NaN,
                1.994730196733067e-06,
                1.760342792677731e-06,
                3.288749064114508e-06,
                3.288750633545794e-06,
                NaN,
                8.315278293067121e-07,
                4.785093924156175e-06
            ],
            [
                0.9999921107355918,
                0.9999038976108313,
                0.9999251537576932,
                0.9998911030752885,
                0.9990889486894632,
                0.9997388097304464,
                0.998674977688156,
                0.9999251537381433,
                0.9998204720594376,
                0.9999251537374844
            ],
            [
                0.9997965730787997,
                0.9990889486847477,
                0.997199072688212,
                0.0002959571615276624,
                2.1444948407573453e-05,
                0.999925153755354,
                NaN,
                0.9993736657634469,
                NaN,
                0.9998911030418653
            ],
            [
                1.7603436329714805e-06,
                5.422218968477564e-06,
                2.561283126502453e-06,
                4.222834450743383e-06,
                2.2603245667050187e-06,
                6.144173867284299e-06,
                4.222834954461155e-06,
                1.994729721265813e-06,
                1.7603430028275796e-06,
                NaN
            ],
            [
                1.6701419844465412e-05,
                2.5612822106421996e-06,
                6.1441775253966106e-06,
                NaN,
                0.0003353501014988361,
                3.28874828059259e-06,
                5.715003107353922e-07,
                0.9933071483513113,
                NaN,
                5.422217672768115e-06
            ],
            [
                2.902311984176362e-06,
                NaN,
                7.88926634305847e-06,
                6.14417459705135e-06,
                NaN,
                1.670142183983204e-05,
                6.1441753327418334e-06,
                4.539787921218681e-05,
                NaN,
                1.3007123806876143e-05
            ],
            [
                0.998674977456621,
                0.22270013366638422,
                0.9986749778186351,
                0.9994472214310909,
                0.9997388097343831,
                0.99539042859194,
                0.9991959139383823,
                0.9996200154448981,
                0.999738809794405,
                0.9994472213809885
            ],
            [
                NaN,
                NaN,
                NaN,
                1.5534981236547373e-06,
                NaN,
                NaN,
                NaN,
                6.144173134164498e-06,
                4.222832939663403e-06,
                2.902311984783477e-06
            ],
            [
                3.5356242243001115e-05,
                1.3007126911335805e-05,
                6.144177530291754e-06,
                2.5612828208879873e-06,
                1.7603438427243761e-06,
                8.939695235487695e-06,
                1.0129990978847043e-05,
                1.3007130013572209e-05,
                1.3007134656423374e-05,
                1.4738983682913606e-05
            ],
            [
                3.288749456964293e-06,
                6.144174601208867e-06,
                2.9023126762662377e-06,
                1.0677029971473845e-06,
                5.422218969384951e-06,
                1.7603440525701563e-06,
                2.2603237586397375e-06,
                2.260324027815264e-06,
                4.222833443553821e-06,
                8.939694169330997e-06
            ],
            [
                1.6701417847458553e-05,
                6.9622579086271995e-06,
                3.7266392806074118e-06,
                1.5534975681662507e-06,
                NaN,
                7.48462447495725e-05,
                1.3007131563815288e-05,
                8.481104127376647e-05,
                2.902311984783477e-06,
                2.260324297492425e-06
            ],
            [
                0.9998415638049128,
                6.475946437722523e-07,
                0.5621765008857981,
                0.9999485577681516,
                0.9998766054710445,
                0.37754066879814546,
                0.9999687980888803,
                0.9999038976076738,
                0.9999885212277811,
                0.9999038975671023
            ],
            [
                6.962254589332388e-06,
                3.535625488822007e-05,
                4.785095634843714e-06,
                3.535625488384697e-05,
                8.939693104865575e-06,
                3.2887478890769702e-06,
                6.96225707894582e-06,
                2.4300232012472705e-05,
                2.4300249410794055e-05,
                1.3007131565376817e-05
            ],
            [
                2.5612819047646128e-06,
                4.222832437497486e-06,
                2.9023116389365734e-06,
                2.561283126304449e-06,
                5.422218320287462e-06,
                1.760343632678494e-06,
                6.14417606400666e-06,
                1.5534983080772528e-06,
                NaN,
                2.7535687803514833e-05
            ],
            [
                0.9999546021099712,
                0.9998601779112614,
                0.9988304897707098,
                0.9995694428326004,
                0.9998204720602473,
                0.9999687980965344,
                0.999903897586654,
                0.9998204720584867,
                0.9996200155546723,
                0.9999417087347078
            ],
            [
                8.939695234723424e-06,
                NaN,
                1.1478773595657069e-05,
                1.1478768107662397e-05,
                8.9396962925058e-06,
                1.473898020682712e-05,
                6.144174600862407e-06,
                2.144494068358386e-05,
                8.93969949027781e-06,
                6.605216814791757e-05
            ],
            [
                6.962254588433232e-06,
                5.829126547411052e-05,
                NaN,
                1.0129990978441666e-05,
                1.4738988994980593e-05,
                1.8925141465820123e-05,
                1.1478765382927399e-05,
                6.144174601588856e-06,
                6.144177530425867e-06,
                1.1478765385432939e-05
            ],
            [
                1.1478768122695653e-05,
                2.4300240718880753e-05,
                0.0007096704360452392,
                2.9023119851055122e-06,
                5.4222196154940574e-06,
                4.222834954607099e-06,
                1.6701421836551084e-05,
                4.006368725318095e-05,
                1.8925150439671973e-05,
                6.1441738684354385e-06
            ],
            [
                5.422219600176964e-06,
                NaN,
                NaN,
                8.481102044594817e-05,
                NaN,
                6.605217609735863e-05,
                4.7850927822924614e-06,
                NaN,
                4.222833444106873e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                1.553497939625029e-06,
                1.9947299579308666e-06,
                4.222832939548183e-06,
                1.9947304346535984e-06,
                NaN,
                NaN,
                1.9947292456281383e-06
            ],
            [
                1.6701425744167532e-05,
                2.260324028306588e-06,
                8.939694168810643e-06,
                4.222834448938288e-06,
                6.9622562492265485e-06,
                3.726638838324893e-06,
                1.1478763972224074e-05,
                1.0129987351289655e-05,
                3.726638394957837e-06,
                1.3007134655902864e-05
            ],
            [
                4.5397874000744484e-05,
                NaN,
                6.60521366932833e-05,
                2.7535697614112e-05,
                2.1444945802276216e-05,
                3.120190007741302e-05,
                NaN,
                1.670142381423725e-05,
                0.9993736658481209,
                NaN
            ],
            [
                5.422219571337825e-06,
                3.726638395527247e-06,
                1.0677033790621648e-06,
                3.7266383948154845e-06,
                3.72663972689619e-06,
                1.3709578604108674e-06,
                1.2098658276598493e-06,
                5.422221554581283e-06,
                6.144176795416864e-06,
                4.222834449813952e-06
            ],
            [
                7.889261643382609e-06,
                7.889260703763482e-06,
                NaN,
                1.0129995807939249e-05,
                2.2603253751406236e-06,
                NaN,
                6.144172403715875e-06,
                2.260324028045508e-06,
                8.939699491546175e-06,
                NaN
            ],
            [
                1.994729245917502e-06,
                6.962258737650141e-06,
                4.222832437109582e-06,
                2.2603240280866228e-06,
                1.0677032518501217e-06,
                4.222832940577472e-06,
                2.260324028351814e-06,
                1.760342793583908e-06,
                1.9947301968673173e-06,
                8.93969310367852e-06
            ],
            [
                NaN,
                5.4222202614355715e-06,
                NaN,
                NaN,
                4.785096775676685e-06,
                4.222833943788023e-06,
                6.144176795416864e-06,
                1.5534984915390206e-06,
                2.2603251058292572e-06,
                NaN
            ],
            [
                5.422217028582506e-06,
                3.535623785600612e-05,
                1.147876943096456e-05,
                6.144173850106604e-06,
                NaN,
                1.1478770859624945e-05,
                1.1478773592796574e-05,
                8.939699495546396e-06,
                9.422442568163268e-07,
                3.288749064114508e-06
            ],
            [
                0.9999724642958652,
                1.892515045977559e-05,
                4.222831932297532e-06,
                3.2887486723295965e-06,
                3.7266406160845606e-06,
                6.9622579086271995e-06,
                NaN,
                1.4738981912725482e-05,
                NaN,
                NaN
            ],
            [
                4.785092782597101e-06,
                NaN,
                5.422218319320898e-06,
                6.962259566204604e-06,
                7.889260692512792e-06,
                1.8925145943072374e-05,
                5.422217675628357e-06,
                6.9622537539525255e-06,
                7.889266345196678e-06,
                NaN
            ],
            [
                1.6701427796769297e-05,
                6.1441760661636525e-06,
                0.9999724642957917,
                1.6701415819647427e-05,
                NaN,
                4.785095064523075e-06,
                2.7535691069506297e-05,
                1.5534979386501306e-06,
                6.9622554171645e-06,
                NaN
            ],
            [
                1.2098653915785855e-06,
                NaN,
                3.120191875680005e-05,
                5.422219615898437e-06,
                0.9997694933523013,
                2.90231301993557e-06,
                4.785093353187292e-06,
                2.5612831258711683e-06,
                1.0129989768616954e-05,
                NaN
            ],
            [
                1.1478768116055965e-05,
                3.288749849209925e-06,
                2.144494837441725e-05,
                1.8925150466660388e-05,
                6.962257904131415e-06,
                6.9622562484666964e-06,
                2.1444950944374182e-05,
                2.753569423672903e-05,
                3.7266397278180926e-06,
                3.7266388390502134e-06
            ],
            [
                1.14787708580381e-05,
                1.1478763972224074e-05,
                NaN,
                8.939698432690187e-06,
                2.561282820785491e-06,
                4.222833444229772e-06,
                4.785092782779884e-06,
                1.1478765386330758e-05,
                1.8925157257345735e-05,
                5.422219615188307e-06
            ],
            [
                0.999704042798242,
                0.9998911030781089,
                0.9996646500175524,
                0.999704042910787,
                0.9995694428649285,
                0.9995121429606358,
                NaN,
                0.9993736658475014,
                1.012999460108057e-05,
                0.9982992779004618
            ],
            [
                6.962257904916592e-06,
                1.5534981247426673e-06,
                NaN,
                3.7266410601636445e-06,
                6.144177521730841e-06,
                0.9964063981822436,
                NaN,
                NaN,
                3.466325797397274e-07,
                1.3007133093616717e-05
            ],
            [
                0.5926665999540698,
                0.9999485577622386,
                0.9984988180196682,
                0.9999151889896758,
                0.9994472212514233,
                0.9997040430238916,
                0.24508502416032488,
                0.9997388096736163,
                0.9997388097334635,
                0.34864514210180597
            ],
            [
                3.726637951126493e-06,
                3.726639283129085e-06,
                1.7603432131631714e-06,
                4.785095634843714e-06,
                6.475948753452987e-07,
                3.726638395215427e-06,
                2.260324297607547e-06,
                3.2887502397387184e-06,
                1.9947306713441352e-06,
                NaN
            ],
            [
                4.785096775580942e-06,
                NaN,
                2.2603240282243575e-06,
                NaN,
                2.5612831264675113e-06,
                NaN,
                4.222834954514924e-06,
                NaN,
                0.03732688413141622,
                4.785096205347206e-06
            ],
            [
                2.56128129423019e-06,
                2.9023112916537524e-06,
                1.9947306715400683e-06,
                1.473898723610551e-05,
                4.2228349536200574e-06,
                1.3709570427539306e-06,
                3.288750633192845e-06,
                6.962254587420098e-06,
                1.147876811012618e-05,
                3.2887494552234785e-06
            ],
            [
                6.962257076830902e-06,
                6.9622554153915155e-06,
                1.4738981964307261e-05,
                6.962257076628275e-06,
                7.889265405333033e-06,
                3.2887486731252264e-06,
                2.561281597447453e-06,
                8.93969307931945e-06,
                6.144176796042727e-06,
                NaN
            ],
            [
                NaN,
                8.939695215697978e-06,
                NaN,
                NaN,
                NaN,
                1.0129993393319151e-05,
                2.4300234875888474e-05,
                NaN,
                NaN,
                1.3007126903480843e-05
            ],
            [
                4.785096204868486e-06,
                7.889260701237816e-06,
                2.9023130219364104e-06,
                2.9023109471188266e-06,
                7.889266347004826e-06,
                2.9023130230846496e-06,
                6.962253756687988e-06,
                2.902311293034278e-06,
                6.144177530001174e-06,
                3.288749457409966e-06
            ],
            [
                6.605212022110271e-05,
                4.785096773996813e-06,
                NaN,
                NaN,
                NaN,
                4.7850962029623105e-06,
                0.9982992774988301,
                NaN,
                NaN,
                6.962256246263128e-06
            ],
            [
                1.553497939144644e-06,
                8.939700555898528e-06,
                8.939696300636336e-06,
                9.422447060582385e-07,
                1.3007131558917768e-05,
                6.962254585938389e-06,
                2.753569106169292e-05,
                1.892515499135105e-05,
                8.939694166664182e-06,
                6.144174574810871e-06
            ],
            [
                0.9999151889694989,
                0.9998766053980828,
                0.9995694428699513,
                0.9999251537821254,
                0.9996646499903215,
                0.999903897598428,
                0.9999339478661502,
                0.9996200154811911,
                0.9999546021314575,
                0.9989677690890508
            ],
            [
                8.939694167932546e-06,
                NaN,
                8.939696301839653e-06,
                1.7603434230088762e-06,
                1.670141982903278e-05,
                1.892515046211642e-05,
                9.422447060908033e-07,
                4.006369692044835e-05,
                3.7266388397721442e-06,
                2.561281293950654e-06
            ],
            [
                3.2887478889513447e-06,
                2.260324564772615e-06,
                5.422217029509618e-06,
                4.7850939232204965e-06,
                6.14417313533799e-06,
                5.422217029272909e-06,
                3.2887486729337966e-06,
                4.222833947728508e-06,
                1.7603430031093589e-06,
                NaN
            ],
            [
                1.0677033788728062e-06,
                1.370956879727337e-06,
                NaN,
                3.2887498443045366e-06,
                1.994729007936337e-06,
                5.42222090821551e-06,
                1.5534981248881956e-06,
                2.9023130228840374e-06,
                6.144175331009535e-06,
                3.726639280905674e-06
            ],
            [
                5.42221767672807e-06,
                4.4508526414748077e-07,
                1.7603434227623191e-06,
                1.0677027427068966e-06,
                1.994729483508644e-06,
                2.260324028281919e-06,
                1.7603438428460541e-06,
                2.902311984989368e-06,
                2.26032537546132e-06,
                2.260324297311519e-06
            ],
            [
                6.144174594369081e-06,
                2.561283430682004e-06,
                NaN,
                3.7266410607194972e-06,
                NaN,
                2.9023126757171947e-06,
                2.2603242977555607e-06,
                NaN,
                2.260323489024314e-06,
                1.9947301968673173e-06
            ],
            [
                4.785096204972935e-06,
                4.785096775842062e-06,
                7.889260703117714e-06,
                4.2228349527213495e-06,
                NaN,
                7.889262584350785e-06,
                6.962254586622255e-06,
                1.1478768120315386e-05,
                2.1444940692945607e-05,
                3.535624218872317e-05
            ],
            [
                7.889265406151004e-06,
                1.2098655392090423e-06,
                1.1478773594675732e-05,
                6.962253756232077e-06,
                5.422218323231539e-06,
                7.889263524443698e-06,
                1.7603434230729168e-06,
                1.1478773595343877e-05,
                2.9023112930659533e-06,
                2.9023123310290063e-06
            ],
            [
                NaN,
                0.9998601779780606,
                NaN,
                3.2887502399421126e-06,
                2.1444940676874607e-05,
                NaN,
                NaN,
                6.144175320928673e-06,
                NaN,
                NaN
            ],
            [
                1.7603427935342762e-06,
                1.209865250456804e-06,
                3.2887502407138142e-06,
                4.222831934248571e-06,
                6.144175333837093e-06,
                2.5612831264675113e-06,
                8.939697367037201e-06,
                1.7603430032918752e-06,
                7.8892654060075e-06,
                6.144174600325954e-06
            ],
            [
                NaN,
                NaN,
                2.430024651882284e-05,
                2.4300252293748645e-05,
                1.4738976695942536e-05,
                7.889259763326495e-06,
                0.0003353500256990463,
                NaN,
                0.0001795280512514926,
                3.7266392835764795e-06
            ],
            [
                3.726637950723161e-06,
                2.260325105981383e-06,
                4.222833443891798e-06,
                NaN,
                3.28875024092319e-06,
                5.422220905690605e-06,
                3.2887478888496478e-06,
                NaN,
                2.5612815981649286e-06,
                4.7850956351657615e-06
            ],
            [
                NaN,
                4.222832434974193e-06,
                6.475946437422142e-07,
                7.889266343316778e-06,
                5.422217674937953e-06,
                6.144172403067661e-06,
                NaN,
                7.889259761030436e-06,
                3.72663839287e-06,
                2.9023116387069255e-06
            ],
            [
                8.315283244849196e-07,
                3.2887478868516e-06,
                1.7603427934702357e-06,
                3.726639727526609e-06,
                2.561282515564741e-06,
                4.222834450236421e-06,
                3.288749849060371e-06,
                1.3709578604308174e-06,
                4.222833947198501e-06,
                NaN
            ],
            [
                NaN,
                2.9023126761923285e-06,
                3.726641060536473e-06,
                1.7603430033607189e-06,
                2.9023112871874998e-06,
                2.561282821239737e-06,
                6.144177530001174e-06,
                4.785096205434246e-06,
                3.2887478882574116e-06,
                NaN
            ],
            [
                1.9947304346245714e-06,
                7.338208053300707e-07,
                1.9947297211279344e-06,
                1.7603434227238943e-06,
                2.260325105911487e-06,
                3.7266379484997508e-06,
                1.3007133109847152e-05,
                7.88926070328992e-06,
                0.9998415637684587,
                7.889263521774528e-06
            ],
            [
                0.9998766053819653,
                0.9978172831347809,
                0.9992903295951203,
                0.9998415637481961,
                0.9996200154425987,
                0.9995121428525244,
                0.9996646497793328,
                0.9999546021372838,
                0.9999251537844496,
                0.9840936078799917
            ],
            [
                NaN,
                0.9998766054559936,
                0.9995121427899395,
                0.9995694428168184,
                0.9994472212395891,
                0.9999546021424369,
                0.9996646497421403,
                0.9998204719547483,
                0.9999417087138162,
                4.785096205778054e-06
            ],
            [
                0.9959298614346876,
                NaN,
                4.785096202074502e-06,
                NaN,
                0.0011695103966935386,
                NaN,
                0.0,
                6.962253755041645e-06,
                6.1441738659766924e-06,
                0.0002611903377528689
            ],
            [
                0.00013982204033024506,
                0.99987660541127,
                0.9999417087148158,
                0.9997965730556493,
                2.1444948406091176e-05,
                0.998299277608923,
                0.9992903297299786,
                0.9995694429736371,
                0.9999546021481336,
                0.9998911030656215
            ],
            [
                0.9999339478789965,
                3.2887506333394084e-06,
                7.889266345584138e-06,
                1.5534983097812057e-06,
                4.222833947282995e-06,
                1.760342793362967e-06,
                4.222833443154396e-06,
                1.9947299591100915e-06,
                6.962257076628275e-06,
                4.222834450236421e-06
            ],
            [
                5.4222170296279735e-06,
                NaN,
                1.1478772223642496e-05,
                NaN,
                7.889259761030436e-06,
                1.3709567047556895e-06,
                7.889264454577566e-06,
                8.939695234983602e-06,
                1.0129990971550284e-05,
                6.962257075741783e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                2.1444956061196638e-05,
                NaN,
                3.120191495358858e-05,
                0.00010889693310459604,
                0.00033535004509536103,
                NaN,
                3.288748280891699e-06
            ],
            [
                4.006369194471296e-05,
                NaN,
                2.561282208401253e-06,
                NaN,
                NaN,
                2.144494328864643e-05,
                2.4300252304268445e-05,
                4.006371122007986e-05,
                NaN,
                7.889263524257144e-06
            ],
            [
                0.9999485577925706,
                NaN,
                NaN,
                7.484621760656895e-05,
                NaN,
                0.00020342698963335743,
                NaN,
                7.889264459169685e-06,
                3.7266406153660187e-06,
                NaN
            ],
            [
                6.144172401547709e-06,
                5.4222196118151934e-06,
                3.7266410525037185e-06,
                1.1478768105699724e-05,
                NaN,
                3.7266410598992754e-06,
                NaN,
                NaN,
                0.9999151889286035,
                5.422218309438267e-06
            ],
            [
                3.7266383937647876e-06,
                6.1441775291964935e-06,
                2.561283429759535e-06,
                2.9023130211075662e-06,
                NaN,
                NaN,
                5.422219613846953e-06,
                7.88925976126004e-06,
                1.0129994587353076e-05,
                3.28875024092319e-06
            ],
            [
                6.605217571242921e-05,
                1.209866259533472e-06,
                NaN,
                NaN,
                1.670142381423725e-05,
                3.7266401692127086e-06,
                0.999903897612817,
                2.1444948377069747e-05,
                8.939695231633822e-06,
                2.144495093329611e-05
            ],
            [
                1.670142382286494e-05,
                9.422445934957927e-07,
                6.96225541788636e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                6.962259568078904e-06,
                1.3007128453983806e-05,
                6.962254588281262e-06
            ],
            [
                0.00010889694586288107,
                NaN,
                NaN,
                3.726640615840528e-06,
                0.00037998456070668186,
                8.939697362191404e-06,
                6.144177529364136e-06,
                NaN,
                0.9999869928731383,
                NaN
            ],
            [
                2.9023123296511196e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                4.7850967733701265e-06,
                2.2603251059484907e-06,
                2.5612822097802966e-06,
                5.422219608895774e-06,
                3.2887506312007776e-06
            ]
        ]
    },
    {
        "q_id": "10437_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            13,
            14,
            15,
            16,
            18,
            19,
            20,
            21,
            22,
            24,
            25,
            26,
            27,
            28,
            30,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            102,
            103,
            104,
            105,
            106,
            108,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                0.9999967112497585,
                0.9999910603005,
                0.999994577781677,
                0.999996711251719,
                0.9999945777790911,
                0.9999921107392962,
                0.9999930377429208,
                0.999997438717484,
                0.9999945777803844,
                0.9999687980812015
            ],
            [
                0.9999952149055054,
                0.9999977396751634,
                0.9999980052702785,
                0.9999938558268631,
                0.9999921107374145,
                0.9999986290427931,
                0.9999921107336527,
                0.9999967112493665,
                0.9999546021367783,
                0.9999869928730875
            ],
            [
                0.9999910603004994,
                0.9999885212277727,
                0.9999938558261315,
                0.9999921107402375,
                0.9999984465020603,
                0.9999957771650454,
                0.9999957771660528,
                0.9999898700102309,
                0.9999945777784451,
                0.9999945777810303
            ],
            [
                0.999985261019786,
                0.9999910603026316,
                0.9999974387177893,
                0.9999952149060758,
                0.9999869928684365,
                0.9999970976887069,
                0.9999952149037944,
                0.9999810748495098,
                0.9999967112497585,
                0.9999921107345936
            ],
            [
                0.99998329858015,
                0.9999810748427379,
                0.9999977396765105,
                0.9999832985801483,
                0.9999885212291397,
                0.9999952149072171,
                0.9999938558232009,
                0.9999724643023546,
                0.9999957771660526,
                0.9999938558232011
            ],
            [
                0.9999038975506579,
                0.999972464315468,
                0.9999869928653343,
                0.9999885212332446,
                0.9999938558253982,
                0.9996200154698709,
                0.9999687980886335,
                0.9999885212346117,
                0.999975699750582,
                0.9999417087483646
            ],
            [
                0.9999756997621728,
                0.9999885212332433,
                0.999941708713636,
                0.9999910603036963,
                0.9999546021205493,
                0.9999599363173963,
                0.9999417087136483,
                0.9999910603004991,
                0.999995777167059,
                0.9999810748562746
            ],
            [
                1.0677029972920738e-06,
                6.475946437966953e-07,
                2.9023116388969785e-06,
                5.715006514074756e-07,
                1.3007131564383116e-05,
                9.422443692330485e-07,
                8.939699499026267e-06,
                3.288748673295719e-06,
                3.726640616670918e-06,
                1.7603432132784448e-06
            ],
            [
                2.4300249421225448e-05,
                7.88925976359915e-06,
                2.1444953525877587e-05,
                4.539785238918559e-05,
                4.0063711283916205e-05,
                6.605216041280767e-05,
                4.006370651207639e-05,
                2.4300237834601515e-05,
                4.22283545795623e-06,
                3.2887478890769702e-06
            ],
            [
                0.9999869928653341,
                0.999996273358939,
                0.9997040427959859,
                0.9999967112501507,
                0.9999938558224686,
                0.9999980052707541,
                0.9999921107383554,
                0.9999885212305073,
                0.9999938558268633,
                0.9999724642957772
            ],
            [
                0.9999724643154692,
                0.999972464315473,
                0.9999832985841296,
                0.999995777167059,
                0.9999885212264018,
                0.9999957771675624,
                0.9999967112517189,
                0.999994577780384,
                0.9999938558253981,
                0.9999962733620487
            ],
            [
                0.9999646437366851,
                0.9999982396561572,
                0.9999957771680656,
                0.9999974387184,
                0.9999898700090213,
                0.9999982396565769,
                0.9999930377462404,
                0.999998790134028,
                0.9999967112497585,
                0.9999952149049361
            ],
            [
                0.9999987901344607,
                0.9999962733593832,
                0.9999957771670589,
                0.9999962733607158,
                0.9999921107355337,
                0.9999980052709919,
                0.9999967112497584,
                0.9999984465016898,
                0.9999962733611601,
                0.9999952149072167
            ],
            [
                0.9999962733602719,
                0.9999989322973846,
                0.9999991684720715,
                0.9999967112509347,
                0.9999989322970028,
                0.9999980052693274,
                0.999998005269803,
                0.9999987901338839,
                0.9999984465028011,
                0.9999869928746395
            ],
            [
                0.9999945777790913,
                0.9999970976876689,
                0.9999996940977366,
                0.99999862904312,
                0.9999990577555185,
                0.9997040429021244,
                0.9999967112505425,
                0.9999984465020603,
                0.9999962733598274,
                0.9999962733616045
            ],
            [
                0.9999980052700408,
                0.9999982396574163,
                0.9999852610127599,
                0.9999910603015654,
                0.9999724642990605,
                0.9999962733593833,
                0.9999646437535114,
                0.9999974387184,
                0.9999962733593835,
                0.9999980052693274
            ],
            [
                0.9998911030647778,
                0.9999910603036964,
                0.9993736658223981,
                0.9999832985801479,
                0.9998415638022159,
                0.9999977396748938,
                0.9999339478396271,
                0.9999599363078162,
                0.9999151889283289,
                0.9999151889182282
            ],
            [
                0.9999785550490328,
                0.9999687980737576,
                0.9999756997476837,
                0.9999251537817236,
                0.9999810748540182,
                0.9999810748517602,
                0.9999546021313904,
                0.9999832985741757,
                0.9999339478238315,
                0.9999957771680659
            ],
            [
                0.9999957771675624,
                0.9999898700066052,
                0.9999957771655489,
                0.9999910603058283,
                0.9999832985741761,
                0.9999952149060758,
                0.9999810748472489,
                0.9999417087067766,
                0.999997438717484,
                0.9999945777790918
            ],
            [
                0.9999957771675627,
                0.999988521233244,
                0.9999417087554018,
                0.9999970976866313,
                0.9999945777784459,
                0.9999832985761737,
                0.9999885212277713,
                0.9999952149037942,
                0.9999724643122083,
                0.9999832985701935
            ],
            [
                5.144222591279097e-05,
                2.9023109471452223e-06,
                2.4300243624818735e-05,
                3.7266397281434697e-06,
                1.8925157261545463e-05,
                1.0129988563343644e-05,
                7.48462093682669e-05,
                1.3007130013288297e-05,
                7.889262585441413e-06,
                6.605217614925922e-05
            ],
            [
                0.9999977396759716,
                0.9999910603036969,
                0.9999910603058276,
                0.9999980052709919,
                0.9999993524050474,
                0.9999952149037941,
                0.9999980052707541,
                0.9999957771680658,
                0.9999952149032243,
                0.9999967112505427
            ],
            [
                0.9999151889890107,
                0.999954602147594,
                0.9999756997679602,
                0.9999898700126431,
                0.9999724643056332,
                0.9999599363030427,
                0.999978555054146,
                0.999968798081195,
                0.9999687980737588,
                0.9999756997534811
            ],
            [
                0.9999967112517191,
                0.9999810748562736,
                0.9999930377445808,
                0.9998601778762657,
                0.9999921107355341,
                0.9999485577679742,
                0.9999957771680658,
                0.9999546021421896,
                0.9999910603026316,
                0.9999952149072167
            ],
            [
                1.0129995808639442e-05,
                4.222834954607099e-06,
                2.5612816000145246e-06,
                3.2887498493325602e-06,
                3.2887506334201674e-06,
                6.962255419570695e-06,
                1.8925145982866508e-05,
                1.4738985485166298e-05,
                1.1478764020372226e-05,
                7.889260704732132e-06
            ],
            [
                0.9999485577925141,
                0.9999756997679573,
                0.9999852610197867,
                0.9999756997679602,
                0.9999930377445807,
                0.9999930377445804,
                0.9999869928761888,
                0.9999986290424663,
                0.9999785550490321,
                0.9999987901343165
            ],
            [
                0.999997438716568,
                0.9999938558268638,
                0.999996711252111,
                0.9999974387177893,
                0.9999952149066471,
                0.9999646437492907,
                0.9999945777829696,
                0.9999962733611604,
                0.9999957771655488,
                0.9999990577549568
            ],
            [
                7.88925976316864e-06,
                1.3007125363057018e-05,
                9.422449308673789e-07,
                1.1478766755985128e-05,
                1.892515500808112e-05,
                2.4300246523066122e-05,
                3.535625490931388e-05,
                1.473898197154587e-05,
                6.962254589851619e-06,
                8.93969736942758e-06
            ],
            [
                0.9999910603004993,
                0.9999984465018751,
                0.9999957771665555,
                0.9999962733620487,
                0.9999957771680661,
                0.9999967112513267,
                0.9999974387168734,
                0.9999930377420911,
                0.9999962733616045,
                0.9999938558253986
            ],
            [
                0.9999852610180293,
                0.9999832985821392,
                0.999997438717484,
                0.9999885212359796,
                0.9999869928715355,
                0.999994577780384,
                0.9999980052700408,
                0.9999945777797378,
                0.999993855826131,
                0.9999938558239343
            ],
            [
                0.9999599363221864,
                0.9999810748517607,
                0.9999938558253991,
                0.9999724642990652,
                0.9999485577740995,
                0.9999417087067125,
                0.9999910602994336,
                0.9999687980886414,
                0.9999945777784449,
                0.9999852610232999
            ],
            [
                0.9999339478710831,
                0.9999038976079275,
                0.9998911031037506,
                0.998830489595963,
                0.9997965729539883,
                0.99956944301318,
                0.9996200155598902,
                0.9978172837331518,
                0.99908894876279,
                0.9998204719911309
            ],
            [
                0.002182716174049902,
                1.892514597563747e-05,
                0.0002034268983459298,
                0.00857748680761192,
                0.0001795280289031538,
                0.006692850243221512,
                1.3007131559816827e-05,
                4.5397884843438604e-05,
                0.11920291732853863,
                0.0001233946188587352
            ],
            [
                2.5612831266608576e-06,
                7.889261644760245e-06,
                1.5534973841592143e-06,
                1.892515726357648e-05,
                4.222832437639588e-06,
                1.5534975693601474e-06,
                1.4738980214280206e-05,
                1.3709568799760888e-06,
                3.288748673035494e-06,
                1.7603440527046419e-06
            ],
            [
                0.9999251537728793,
                0.9999646437493034,
                0.9959298627333506,
                0.9999852610145213,
                0.9999485577679806,
                0.9999921107402363,
                0.9999885212277709,
                0.9999339478789965,
                0.9999885212277699,
                0.9999151889485385
            ],
            [
                0.9999339478790071,
                0.9999485577924824,
                0.9999930377404319,
                0.9999724643154996,
                0.9999785550439215,
                0.9999930377404312,
                0.999995777165549,
                0.9999885212305076,
                0.9999687980998022,
                0.9999885212332436
            ],
            [
                2.9023133685252154e-06,
                8.939695237504067e-06,
                1.8925150494750372e-05,
                2.2603237577598778e-06,
                5.422220262195015e-06,
                3.2887482812506295e-06,
                2.5612812945889277e-06,
                5.829127247557873e-05,
                9.422445938861406e-07,
                4.22283545808297e-06
            ],
            [
                0.9999810748495063,
                0.9999785550413666,
                0.9999832985721847,
                0.9999885212277702,
                0.9999832985781597,
                0.999964643732444,
                0.9999546021259682,
                0.9999869928699852,
                0.9999810748585306,
                0.9999980052695652
            ],
            [
                0.0013250226123926534,
                0.8933094032139576,
                0.9978172839258476,
                0.00048785722853796244,
                0.00012339457458581518,
                0.9947798738397442,
                0.7549149868676284,
                1.4738976699106073e-05,
                0.0013250221329936672,
                0.9996646498911933
            ],
            [
                0.9999967112513267,
                0.9999945777810304,
                0.9999599362887179,
                0.9999869928653338,
                0.99998107485853,
                0.9999810748472499,
                0.9999990577549569,
                0.999994577781677,
                0.9999910603015649,
                0.9999687980886323
            ],
            [
                0.9999885212332438,
                0.9999982396567867,
                0.9999967112517189,
                0.9999982396559473,
                0.999978555041362,
                0.9999945777810305,
                0.9999980052707541,
                0.9998204719492134,
                0.9999970976890529,
                0.999983298576167
            ],
            [
                0.9999852610127625,
                0.9999980052705164,
                0.9999921107383557,
                0.9999977396746244,
                0.9999921107364745,
                0.9999930377404315,
                0.9999930377445814,
                0.9999898700126442,
                0.9999945777816769,
                0.9999990577552939
            ],
            [
                0.9999987901347492,
                0.9999417087344762,
                0.9999945777810303,
                0.9999977396765106,
                0.9999970976887069,
                0.9999687980774731,
                0.9999967112505427,
                0.999992110740236,
                0.9999957771670589,
                0.9999339478595282
            ],
            [
                0.9999938558268632,
                0.9999945777829694,
                0.9999987901347491,
                0.9999832985741784,
                0.9999974387177893,
                0.9999952149066468,
                0.9999938558261309,
                0.9999984465026158,
                0.9999952149060758,
                0.9999898700078133
            ],
            [
                2.430024651882284e-05,
                7.484626290608339e-05,
                3.1201922531407855e-05,
                1.8925145981833788e-05,
                5.422219615750493e-06,
                5.422220908703723e-06,
                1.1478773598914277e-05,
                4.785096776394765e-06,
                0.00017952798703790016,
                6.47594875389178e-07
            ],
            [
                0.9999599363125955,
                0.9999832985801506,
                0.9999962733616047,
                0.9999687980737629,
                0.999999168471675,
                0.9999984465016899,
                0.9999952149032243,
                0.9999885212291387,
                0.9999970976883609,
                0.9999991684715759
            ],
            [
                0.9999885212264018,
                0.9999986290421394,
                0.9999938558275956,
                0.9999957771665556,
                0.999997097686977,
                0.9999967112517187,
                0.9999967112509347,
                0.9999832985821387,
                0.9999982396567868,
                0.9999989322972572
            ],
            [
                0.9999852610215443,
                0.9999945777797377,
                0.9999930377437506,
                0.9999832985821392,
                0.999995777164542,
                0.9999945777797375,
                0.9999898700126428,
                0.9999485577863694,
                0.9999952149066464,
                0.9999970976880149
            ],
            [
                0.9997694932854785,
                0.9989677690667226,
                0.9998766053810748,
                0.9999151889789851,
                0.9997694931753348,
                0.9998204720986045,
                0.9997965730519172,
                0.9999251537638956,
                0.9978172830764651,
                0.9998601778594107
            ],
            [
                0.9999970976890529,
                0.9999952149037942,
                0.9999977396759716,
                0.999995777164542,
                0.9999984465022455,
                0.9999832985821387,
                0.9999967112513267,
                0.9999945777784447,
                0.9999989322966208,
                0.9999977396765105
            ],
            [
                0.9999930377437511,
                0.9999898700090213,
                0.9999910603004992,
                0.9999974387184,
                0.9999952149066462,
                0.9999957771670592,
                0.9999967112517189,
                0.9999938558232014,
                0.9999945777810303,
                0.9999724643056253
            ],
            [
                0.999997438716568,
                0.999999057755069,
                0.9999898700078133,
                0.9999987901337396,
                0.999997097687323,
                0.9999952149055056,
                0.9999945777829695,
                0.9999898700066067,
                0.9999930377445806,
                0.9999962733620489
            ],
            [
                8.939699500636112e-06,
                3.2887478891128633e-06,
                3.2887486733420804e-06,
                2.7535704221626983e-05,
                1.1478772230407462e-05,
                2.260324028306588e-06,
                2.2603248367656408e-06,
                5.144220134032976e-05,
                2.144494073054863e-05,
                9.422444815679433e-07
            ],
            [
                0.9999930377404305,
                0.9999930377437508,
                0.9999785550464765,
                0.9999898700078128,
                0.9999977396754327,
                0.9999756997505795,
                0.9999885212305076,
                0.9999945777803841,
                0.9999921107355337,
                0.9999832985741741
            ],
            [
                0.9999898700041909,
                0.9999910603004997,
                0.9999646437577258,
                0.9998766054548265,
                0.9999724643187544,
                0.9999852610110029,
                0.9999885212346237,
                0.9999869928668885,
                0.9999952149072169,
                0.9999724643089045
            ],
            [
                0.9999832985841314,
                0.9999945777810303,
                0.9999930377462414,
                0.9999980052695652,
                0.9999989322975118,
                0.9999977396765105,
                0.9999962733616046,
                0.9999832985721915,
                0.9999957771675627,
                0.9999938558246657
            ],
            [
                0.9982992779571883,
                0.999988521234613,
                0.9998415637458749,
                0.9999687980812043,
                0.9999756997650695,
                0.9999646437324821,
                0.9999687980997979,
                0.9999646437619403,
                0.9999832985721876,
                0.9999485577986358
            ],
            [
                1.8925150493717652e-05,
                6.962253759581752e-06,
                2.9023109471452223e-06,
                5.422218969769604e-06,
                9.422443692527585e-07,
                4.53978848784502e-05,
                3.2887490652451393e-06,
                4.539786320924914e-05,
                1.1478768124992398e-05,
                8.315277302649045e-07
            ],
            [
                0.9999546021205493,
                0.9999910602994342,
                0.9999945777810308,
                0.9999687980923481,
                0.9999898700078134,
                0.9999977396757024,
                0.9999921107364741,
                0.9999970976876693,
                0.9999921107392962,
                0.9999967112517189
            ],
            [
                0.9999646437577258,
                0.9999930377404306,
                0.999975699753477,
                0.9999756997476829,
                0.9999852610197869,
                0.9999724642990595,
                0.9999852610215433,
                0.9999417087136776,
                0.9999921107374143,
                0.9999599363126035
            ],
            [
                6.962255419051463e-06,
                3.535625913206225e-05,
                4.785093353739995e-06,
                4.0063701700885974e-05,
                1.147876538789672e-05,
                4.2228324377164004e-06,
                4.5397857784436206e-05,
                2.6995777745711594e-07,
                1.1478770861441461e-05,
                3.5356254877415924e-05
            ],
            [
                0.9999962733616046,
                0.9999982396567867,
                0.9999974387187053,
                0.9999921107364745,
                0.999995777164542,
                0.9999945777829695,
                0.9999957771645422,
                0.9999885212332446,
                0.9999869928761888,
                0.9999984465028011
            ],
            [
                1.8925148239290237e-05,
                2.1444945855248125e-05,
                2.1444950969026795e-05,
                3.53562675670136e-05,
                2.4300237832303074e-05,
                3.1201918807538294e-05,
                3.288750241473551e-06,
                2.7535684534618784e-05,
                4.222835458002318e-06,
                1.012998977198894e-05
            ],
            [
                0.9999852610110006,
                0.9999756997592674,
                0.9999756997476829,
                0.9999852610127582,
                0.99992515374599,
                0.9999339478474842,
                0.9999756997592771,
                0.9999910602994336,
                0.9999832985801496,
                0.9999938558253981
            ],
            [
                0.9999485577679806,
                0.9999687980960721,
                0.9999970976866309,
                0.9999810748495038,
                0.999820471948819,
                0.9999756997592687,
                0.9999756997650695,
                0.9999910603068933,
                0.9998204720552792,
                0.9997388096598381
            ],
            [
                1.0129993394664264e-05,
                3.535624228171595e-05,
                3.120190393374457e-05,
                1.3007125362820425e-05,
                4.785096205830278e-06,
                0.00012339456000173458,
                3.726639728262097e-06,
                1.0129990979547237e-05,
                2.260324028372372e-06,
                1.1478764018012839e-05
            ],
            [
                0.9999982396559473,
                0.9999869928684354,
                0.9999938558224684,
                0.9999952149043645,
                0.9999756997592703,
                0.9999930377454103,
                0.9999930377437506,
                0.9999952149060758,
                0.999997097686631,
                0.9999885212332438
            ],
            [
                0.9999339478396271,
                0.9998204720767708,
                0.9998911030388833,
                0.999948557798626,
                0.9999921107374146,
                0.9999038975851403,
                0.999948557798614,
                0.9999921107355338,
                0.9999952149060758,
                0.9999038975393251
            ],
            [
                0.9999785550439266,
                0.9999930377420909,
                0.9999599362982708,
                0.9999921107383553,
                0.9999967112509347,
                0.9998911030779107,
                0.9999938558275955,
                0.9999756997505781,
                0.9999417087483723,
                0.9999546021367908
            ],
            [
                0.9999945777810304,
                0.9999869928699864,
                0.9999970976890528,
                0.9999957771655488,
                0.9999980052705163,
                0.9999945777790913,
                0.9999970976873231,
                0.9999984465016899,
                0.9999962733598278,
                0.9999970976890529
            ],
            [
                0.9999967112505427,
                0.9999967112509346,
                0.9999885212305076,
                0.999988521231875,
                0.9999962733611603,
                0.9999898700066064,
                0.9999977396748938,
                0.9999687980886309,
                0.9999980052700408,
                0.9999957771660523
            ],
            [
                1.9947304348332037e-06,
                8.315282259051341e-07,
                2.144495608105136e-05,
                9.422444815495185e-07,
                7.889265406294507e-06,
                9.422450431140731e-07,
                1.3007131564643372e-05,
                1.760342793583908e-06,
                1.3007128463352975e-05,
                4.785096776303374e-06
            ],
            [
                0.9997040429022191,
                0.9995694429160199,
                0.998967769125664,
                0.9999852610233015,
                0.9997040429077904,
                0.4687906266262437,
                0.4073334000459302,
                0.999195914054316,
                0.99962001544125,
                0.9994472212587553
            ],
            [
                1.2098662604192665e-06,
                1.5534981248881956e-06,
                1.7603436329978976e-06,
                3.0590226338671677e-07,
                4.2228324375973415e-06,
                3.2887498493983645e-06,
                2.9023119851055122e-06,
                8.315283250260307e-07,
                2.9023112931688987e-06,
                3.288750633488963e-06
            ],
            [
                0.4073334000459302,
                0.999796572930092,
                0.8354835350552604,
                0.9997694933414492,
                0.9999151889688264,
                0.26894141551050293,
                0.8670357718273068,
                0.9998766054107798,
                0.999972464318797,
                0.5312093733737562
            ],
            [
                0.9999970976876689,
                0.9999930377420909,
                0.9999724643154813,
                0.9999151889688017,
                0.9999687980923566,
                0.9999339478710932,
                0.9999785550515954,
                0.999996273358939,
                0.9999756997505811,
                0.9999938558268634
            ],
            [
                0.999994577780384,
                0.9999996072137998,
                0.9999974387177893,
                0.9999974387171787,
                0.9999977396754327,
                0.9999945777823235,
                0.9999982396565767,
                0.9999970976883609,
                0.9999952149032242,
                0.9999989322968754
            ],
            [
                0.9999977396765105,
                0.9999869928730875,
                0.9999921107336532,
                0.9999993524052019,
                0.99999862904312,
                0.9999957771645422,
                0.9999957771665556,
                0.9999974387165679,
                0.9999957771680659,
                0.9999930377412606
            ],
            [
                0.9999974387168734,
                0.9999982396567867,
                0.9999852610145148,
                0.999991060303697,
                0.9999984465016899,
                0.999995777164542,
                0.9999974387171787,
                0.9999977396746244,
                0.9999546021205374,
                0.9999982396569966
            ],
            [
                0.9999974387168733,
                0.9999962733598278,
                0.9999885212291397,
                0.9999546021368443,
                0.9999898700066059,
                0.999994577780384,
                0.9999910603036972,
                0.9999885212359817,
                0.999997097687323,
                0.9999885212277733
            ],
            [
                2.5612822106421996e-06,
                7.338211554641698e-07,
                6.475946437966953e-07,
                2.9023109471689794e-06,
                1.994729721469003e-06,
                1.0129992187253088e-05,
                6.475947209985977e-07,
                2.2603237589028734e-06,
                3.726641061058432e-06,
                1.9947290080905435e-06
            ],
            [
                1.4738987240824012e-05,
                3.2887482809933958e-06,
                2.1444948410928083e-05,
                3.5356238059741304e-05,
                1.8925152752999112e-05,
                7.889263525534328e-06,
                2.7535691083329963e-05,
                6.9622570784012604e-06,
                2.9023119851055122e-06,
                5.8291244660131775e-05
            ],
            [
                0.9999810748495063,
                0.9998601779595803,
                0.9999339478238656,
                0.999664649970408,
                0.9998601779092757,
                0.999903897573676,
                0.9999599362950863,
                0.7981867729389246,
                0.9998911031167291,
                0.999891103038808
            ],
            [
                0.00015843623459106567,
                1.6701419848961534e-05,
                0.0013250224549550495,
                1.147876949187012e-05,
                6.605217615887045e-05,
                8.939694171331106e-06,
                7.484624491729e-05,
                0.00013982214061166373,
                1.1478772225271098e-05,
                4.0063682630732606e-05
            ],
            [
                0.9999869928761882,
                0.9999869928715376,
                0.9999945777823233,
                0.999991060304762,
                0.9999974387180947,
                0.9999885212277702,
                0.999954602109754,
                0.9999756997650686,
                0.9999945777784448,
                0.999992110740237
            ],
            [
                0.9999938558268632,
                0.9999898700053983,
                0.9999852610145165,
                0.9999832985741757,
                0.9999938558224687,
                0.9999852610145148,
                0.9999832985701927,
                0.9999967112493665,
                0.9999992661791944,
                0.9999967112501507
            ],
            [
                0.9999910603005008,
                0.9999962733611601,
                0.9999724643154743,
                0.9999546021151431,
                0.999993037742921,
                0.9999869928746392,
                0.999997438717484,
                0.999992110740236,
                0.9999885212291382,
                0.999997097688015
            ],
            [
                0.9999599363125938,
                0.9999852610127582,
                0.9999987901341723,
                0.9999991684717742,
                0.9999938558232008,
                0.9999785550515917,
                0.9999991684722698,
                0.9999898700078145,
                0.9999910603068932,
                0.9999417087483723
            ],
            [
                0.9999957771645421,
                0.9999832985761674,
                0.9999957771665557,
                0.9999962733598275,
                0.9999945777797377,
                0.9999974387171788,
                0.9999989322967481,
                0.999998790134028,
                0.9999885212264018,
                0.9999987901341724
            ],
            [
                0.9999962733602716,
                0.9999967112517189,
                0.9999967112501507,
                0.9999957771675623,
                0.9999962733593833,
                0.9999910603015648,
                0.9999967112509347,
                0.9999687980886323,
                0.9999599363221485,
                0.9999945777816768
            ],
            [
                0.9999898700066059,
                0.99997246431876,
                0.9999952149060758,
                0.9999885212346119,
                0.999983298574178,
                0.9999957771645424,
                0.9999974387180947,
                0.9999952149072168,
                0.9999967112517189,
                0.9999852610145158
            ],
            [
                0.9999930377429204,
                0.9999724643023419,
                0.9999339478632154,
                0.999994577782323,
                0.999998005269803,
                0.9999952149060765,
                0.9999485577863791,
                0.9999967112501507,
                0.9999852610180288,
                0.9999957771645419
            ],
            [
                1.4738985483504099e-05,
                3.120192623836512e-05,
                1.1478770860982112e-05,
                1.6701415869924985e-05,
                2.260325105981383e-06,
                1.0129995809247506e-05,
                1.3007123812057577e-05,
                3.288748673035494e-06,
                5.144223816384438e-05,
                4.006367785700152e-05
            ],
            [
                1.3709568799760888e-06,
                6.962255419380732e-06,
                4.222834451327159e-06,
                1.3007134665934505e-05,
                1.4738983726908257e-05,
                1.0677031245710902e-06,
                8.93969417150998e-06,
                1.2098658277082653e-06,
                1.3709576971316842e-06,
                1.9947290080905435e-06
            ],
            [
                0.9999957771645422,
                0.9999967112513267,
                0.9999930377429207,
                0.9999962733589389,
                0.9999910603026306,
                0.9999810748472532,
                0.9999967112493665,
                0.999968798081195,
                0.9999339478396116,
                0.9999724643089155
            ],
            [
                0.9999984465016899,
                0.9999832985781574,
                0.9999885212332436,
                0.9999957771670592,
                0.9999989322971301,
                0.9999945777790913,
                0.9999962733598283,
                0.9999869928761894,
                0.9999885212291401,
                0.9999945777803839
            ],
            [
                0.9999962733616046,
                0.9999898700090202,
                0.9999967112509347,
                0.9999810748540167,
                0.9999980052709919,
                0.9999974387177893,
                0.9999930377404305,
                0.9999970976887068,
                0.9999952149072169,
                0.9999898700102289
            ],
            [
                0.9999898700053974,
                0.991422516304903,
                0.9999339478395914,
                0.9999339478710831,
                0.9999546021151331,
                0.9999251537549172,
                0.9999945777810304,
                0.9999756997592727,
                0.999993855825398,
                0.9999921107336524
            ],
            [
                2.1444945856418342e-05,
                NaN,
                0.00013982202209190418,
                8.315277302747361e-07,
                1.3007125360146898e-05,
                7.889261644760245e-06,
                2.4300232034838305e-05,
                1.4738976700366126e-05,
                6.962257909007124e-06,
                NaN
            ],
            [
                1.3709578605355551e-06,
                5.422219616085833e-06,
                6.475947209918244e-07,
                4.222834451327159e-06,
                5.043472879481655e-07,
                2.56128129449109e-06,
                4.22283294098842e-06,
                8.315283250305684e-07,
                1.0677033791495609e-06,
                3.726639284017094e-06
            ],
            [
                0.9999980052700407,
                0.9999930377429203,
                0.9999957771665554,
                0.9999945777810305,
                0.9999832985821387,
                0.9999987901344607,
                0.9999938558253983,
                0.9999930377412609,
                0.9999724642957742,
                0.9999977396757022
            ],
            [
                2.4300240715698294e-05,
                6.1441760654483806e-06,
                NaN,
                2.1444943292703185e-05,
                NaN,
                2.753570419688461e-05,
                1.1478773593548236e-05,
                3.5356254910985954e-05,
                3.535625068000635e-05,
                0.0001795279864214665
            ],
            [
                2.5612825160096693e-06,
                5.422221555192784e-06,
                1.8925150495232307e-05,
                2.260325375615501e-06,
                6.605215252536083e-05,
                5.1442238187610673e-05,
                1.3709573701812335e-06,
                4.785093924103951e-06,
                3.5356242260622145e-05,
                1.300712846411008e-05
            ],
            [
                0.999996273360716,
                0.9999910603026309,
                0.9999945777823234,
                0.9999938558239336,
                0.9999898700090211,
                0.9999832985821496,
                0.9999898700066072,
                0.9999945777790912,
                0.9999957771680662,
                0.9999967112497585
            ],
            [
                0.9999885212346115,
                0.9999921107383557,
                0.9999930377445804,
                0.9999756997476821,
                0.9999930377437505,
                0.9999810748449944,
                0.999994577782323,
                0.9999970976880149,
                0.9999991684716749,
                0.9999986290431201
            ],
            [
                0.9999885212346111,
                0.9999832985801471,
                0.9999810748449924,
                0.9999977396765105,
                0.9999885212359798,
                0.9999546021259464,
                0.9999898700053982,
                0.9999970976890528,
                0.9999417087205582,
                0.9999687980923481
            ],
            [
                0.9999970976887069,
                0.9999967112509347,
                0.9999952149049349,
                0.9999885212346113,
                0.9999967112497585,
                0.9999945777797374,
                0.9999980052695652,
                0.9999980052705164,
                0.9999785550541473,
                0.9999962733616046
            ],
            [
                0.9999810748517607,
                0.9999038975392132,
                0.9999945777784449,
                0.9999989322966208,
                0.999983298576167,
                0.9999687980774796,
                0.9999546021097193,
                0.9999962733593832,
                0.9999974387171787,
                0.9999869928746369
            ],
            [
                6.144172404520556e-06,
                1.8925141469950998e-05,
                1.4738978453315019e-05,
                2.7535691093547457e-05,
                5.4222202621161125e-06,
                2.2603251061849014e-06,
                2.902311984683171e-06,
                3.5356246490314526e-05,
                1.3007128457012223e-05,
                3.12019150894581e-05
            ],
            [
                0.999998239656367,
                0.9999994956524716,
                0.9999970976883609,
                0.999998790134028,
                0.9999987901344607,
                0.999988521233243,
                0.9999930377445805,
                0.9999938558253982,
                0.9999980052705163,
                0.9999987901343165
            ],
            [
                1.4738980213020151e-05,
                8.93970056668775e-06,
                5.043472278280699e-07,
                1.3709570434122812e-06,
                7.889263525405172e-06,
                4.222833444229772e-06,
                1.7603432132784448e-06,
                1.3709570434054234e-06,
                6.475946437996402e-07,
                7.889261645090304e-06
            ],
            [
                0.9999938558268634,
                0.9999980052693274,
                0.9999938558275963,
                0.9999952149060758,
                0.9999869928668845,
                0.9999885212332457,
                0.9999785550490315,
                0.9999984465016899,
                0.9999869928699852,
                0.9999957771660524
            ],
            [
                1.147876402018431e-05,
                6.144172402285332e-06,
                1.3709568799592562e-06,
                4.4508526415598164e-07,
                8.315283250150648e-07,
                3.2887486731641103e-06,
                6.962259569117366e-06,
                2.902312677060767e-06,
                3.288747889178668e-06,
                1.7603438428460541e-06
            ]
        ]
    },
    {
        "q_id": "10581_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            5,
            6,
            7,
            8,
            9,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            23,
            24,
            25,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            35,
            36,
            37,
            38,
            40,
            41,
            42,
            43,
            45,
            46,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            58,
            59,
            60,
            61,
            62,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            72,
            73,
            74,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            118,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                8.939697362191404e-06,
                3.2887506321698918e-06,
                3.726639724666001e-06,
                NaN,
                1.7603438418902446e-06,
                2.9023126731409156e-06,
                2.260323489024314e-06,
                2.2603237550791824e-06,
                NaN,
                NaN
            ],
            [
                1.7603432117222532e-06,
                2.1444947142722867e-05,
                NaN,
                1.2098652497503699e-06,
                3.288749056582943e-06,
                1.994729237979505e-06,
                NaN,
                1.6701427697672303e-05,
                9.422448174312293e-07,
                NaN
            ],
            [
                1.147876537941964e-05,
                3.2887506313204215e-06,
                8.93969842709638e-06,
                7.889266341307724e-06,
                2.5612825153504304e-06,
                6.144173865775523e-06,
                1.3007133095130927e-05,
                7.889262565523096e-06,
                1.5534981248712412e-06,
                1.6701419815726692e-05
            ],
            [
                NaN,
                NaN,
                5.4222215148041666e-06,
                NaN,
                NaN,
                4.222832936099299e-06,
                NaN,
                5.422217661169341e-06,
                1.0677033755284427e-06,
                NaN
            ],
            [
                NaN,
                4.222833436548516e-06,
                1.1478773549910024e-05,
                NaN,
                1.4738978425969173e-05,
                3.120191492861675e-05,
                1.6701427756121907e-05,
                1.9947292452471585e-06,
                1.4738980158408886e-05,
                6.144176796601534e-06
            ],
            [
                1.012998976091482e-05,
                1.8925157247225074e-05,
                NaN,
                NaN,
                NaN,
                7.484626253525338e-05,
                2.144495603014682e-05,
                1.0129992151893283e-05,
                NaN,
                1.670141782601084e-05
            ],
            [
                NaN,
                1.4738976665218677e-05,
                1.3007128419630181e-05,
                NaN,
                1.3007123778295454e-05,
                1.147876671929982e-05,
                5.422218313580688e-06,
                NaN,
                1.3007133092859612e-05,
                2.9023112767768025e-06
            ],
            [
                NaN,
                1.6701421817959012e-05,
                NaN,
                1.892514818531342e-05,
                4.539789008758168e-05,
                NaN,
                1.9947299578582988e-06,
                1.300712844986705e-05,
                NaN,
                NaN
            ],
            [
                2.2603251037488393e-06,
                3.726638391826082e-06,
                9.422447051549968e-07,
                1.2098656828539946e-06,
                NaN,
                4.785093348208608e-06,
                1.9947301945378936e-06,
                2.260325371563619e-06,
                1.2098655388426207e-06,
                7.338208054635517e-07
            ],
            [
                1.2098661150246646e-06,
                NaN,
                4.222833442171196e-06,
                3.726641044396399e-06,
                1.3709568773832096e-06,
                1.2098656823654325e-06,
                4.222832434974193e-06,
                NaN,
                NaN,
                4.222832931060396e-06
            ],
            [
                3.2887482789953484e-06,
                3.726639281203937e-06,
                8.939698431942181e-06,
                8.939697349345158e-06,
                8.93969309649113e-06,
                6.962258737092915e-06,
                NaN,
                5.422217026609926e-06,
                1.7603430032662588e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                5.422220256790143e-06,
                7.484621658175003e-05,
                NaN,
                6.1441775291964935e-06,
                1.3709573696051764e-06,
                5.422220868507439e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                6.962258732597129e-06,
                7.889259751214783e-06,
                1.994729006009665e-06,
                6.144173863093253e-06,
                2.902311635544649e-06,
                2.9023126741017407e-06
            ],
            [
                4.222832412575653e-06,
                7.889259744355309e-06,
                NaN,
                NaN,
                5.42221959934848e-06,
                2.753569095470975e-05,
                2.2603240262898986e-06,
                1.6701417819084383e-05,
                7.88926069747802e-06,
                3.2887490558890103e-06
            ],
            [
                3.535625903418184e-05,
                2.144494050337021e-05,
                NaN,
                NaN,
                1.6701429724087425e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                6.144177520702637e-06,
                3.120190005561944e-05,
                3.7266401588819788e-06,
                7.889265404759017e-06,
                1.8925143715978147e-05,
                NaN,
                NaN,
                2.2603248314443354e-06,
                NaN,
                2.7535690996781786e-05
            ],
            [
                4.222833944817311e-06,
                6.144172384425899e-06,
                1.553497564068853e-06,
                5.42221767410947e-06,
                NaN,
                NaN,
                NaN,
                7.88926350644833e-06,
                1.3709573681089244e-06,
                6.962257070118884e-06
            ],
            [
                4.785095632885315e-06,
                7.889259759509296e-06,
                2.1024333849657557e-07,
                1.3007131548886128e-05,
                1.67014258067487e-05,
                3.120191874590325e-05,
                6.962259562228048e-06,
                6.962257064546644e-06,
                1.1478766753751021e-05,
                4.0063692132141055e-05
            ],
            [
                NaN,
                NaN,
                6.962255415644799e-06,
                NaN,
                1.0129990967459678e-05,
                1.0129993383461157e-05,
                NaN,
                3.7266401714225625e-06,
                NaN,
                1.0677032496778394e-06
            ],
            [
                6.962254580011553e-06,
                2.56128220090037e-06,
                1.5534977512266686e-06,
                7.889260688379886e-06,
                8.939699486049929e-06,
                NaN,
                NaN,
                7.338208927495369e-07,
                NaN,
                6.962257904663309e-06
            ],
            [
                1.0677029970172612e-06,
                NaN,
                1.3007133088033069e-05,
                3.72663971937862e-06,
                4.7850956304656044e-06,
                NaN,
                NaN,
                NaN,
                1.5534979381527916e-06,
                1.2098653935988552e-06
            ],
            [
                2.902311972540874e-06,
                NaN,
                1.5534984936301071e-06,
                1.760342580753978e-06,
                2.260325104324449e-06,
                2.561283427225074e-06,
                3.726640168236576e-06,
                1.0677031242428688e-06,
                1.760343421411058e-06,
                3.726640172120768e-06
            ],
            [
                NaN,
                7.889260694550543e-06,
                2.1444950888983815e-05,
                2.430024359458538e-05,
                2.430024069359789e-05,
                NaN,
                1.892515044545521e-05,
                NaN,
                NaN,
                6.9622554004731105e-06
            ],
            [
                1.7603440520402184e-06,
                NaN,
                4.785095625608774e-06,
                3.2887482798567817e-06,
                4.7850933519861414e-06,
                5.422218304151751e-06,
                3.2887490554104355e-06,
                NaN,
                1.3709575327565156e-06,
                4.222832436955956e-06
            ],
            [
                5.422218306282139e-06,
                1.209865683307345e-06,
                4.222832427968888e-06,
                NaN,
                2.561281586834406e-06,
                1.7603430029140343e-06,
                6.962259562228048e-06,
                1.3007123784446925e-05,
                NaN,
                4.78509276874905e-06
            ],
            [
                1.0677027424126628e-06,
                NaN,
                6.962253756460032e-06,
                5.422220907554695e-06,
                6.144174582947087e-06,
                2.260324027765926e-06,
                2.9023119833105635e-06,
                6.144176054082264e-06,
                NaN,
                NaN
            ],
            [
                1.0129988532627245e-05,
                NaN,
                2.5612815984444648e-06,
                6.144176785313647e-06,
                6.144172399334838e-06,
                NaN,
                1.7603438418902446e-06,
                6.144176029315977e-06,
                7.889264458825275e-06,
                8.939698401566497e-06
            ],
            [
                6.962257073360915e-06,
                NaN,
                NaN,
                3.2887486652526786e-06,
                NaN,
                NaN,
                1.3709570431554246e-06,
                NaN,
                NaN,
                5.422218310897978e-06
            ],
            [
                7.484623505571932e-05,
                1.4738976679695888e-05,
                2.1444948393530826e-05,
                2.2603251051796405e-06,
                1.012999580244825e-05,
                2.1444953486870276e-05,
                2.7535704183762137e-05,
                5.4222209070122355e-06,
                5.4222209055130735e-06,
                8.939693095157722e-06
            ],
            [
                1.0129995801232122e-05,
                1.3007126891035937e-05,
                5.4222196104343874e-06,
                3.7266406092313004e-06,
                9.422449297040474e-07,
                NaN,
                5.422220257026851e-06,
                4.785092777592306e-06,
                6.962253737058512e-06,
                NaN
            ],
            [
                NaN,
                1.0677029956849542e-06,
                7.8892625810789e-06,
                5.422218967649081e-06,
                NaN,
                6.962254588281262e-06,
                3.2887478851765906e-06,
                1.670142570698338e-05,
                2.4300237687766453e-05,
                NaN
            ],
            [
                7.889260696444792e-06,
                8.939699497855469e-06,
                5.422219614833243e-06,
                NaN,
                6.962256246263128e-06,
                NaN,
                4.222834448938288e-06,
                3.726639726997871e-06,
                NaN,
                4.785096770811149e-06
            ],
            [
                3.726639283040963e-06,
                6.962257066268973e-06,
                NaN,
                3.2887478869712438e-06,
                3.726640615840528e-06,
                1.670142382067764e-05,
                4.78509563374701e-06,
                NaN,
                3.7266397274452643e-06,
                NaN
            ],
            [
                3.726640171517464e-06,
                1.0129994585105084e-05,
                NaN,
                1.7603434210972582e-06,
                1.0129992182112188e-05,
                NaN,
                7.889263523238269e-06,
                4.222831930638382e-06,
                1.5534971968347216e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                5.42222155084324e-06,
                NaN,
                NaN,
                6.9622553999665424e-06,
                NaN,
                NaN,
                NaN,
                3.2887502346179705e-06
            ],
            [
                2.561281595220484e-06,
                3.7266388388061806e-06,
                8.939693077953519e-06,
                1.4738987217714078e-05,
                5.4222215476476565e-06,
                1.3709570431554246e-06,
                1.4738978422001344e-05,
                8.939693088620776e-06,
                7.88926069779373e-06,
                1.994729721004569e-06
            ],
            [
                NaN,
                1.4738978262752023e-05,
                5.422219600176964e-06,
                6.96225955285655e-06,
                NaN,
                8.93969735529671e-06,
                6.144175316279408e-06,
                8.939697327230104e-06,
                2.7535684459790688e-05,
                1.3007129982767511e-05
            ],
            [
                3.2887478841715843e-06,
                2.9023109455878416e-06,
                8.93969842332381e-06,
                4.785096768878862e-06,
                1.0129988552416936e-05,
                1.0677027422708868e-06,
                2.9023130211075662e-06,
                NaN,
                7.889266338208041e-06,
                3.7266401712327585e-06
            ],
            [
                8.93969522776369e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                6.962254587420098e-06,
                7.484624294279763e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                3.2887482756572923e-06,
                3.2887486722518283e-06,
                3.288749450569342e-06,
                5.422221552224048e-06,
                3.7266379497470296e-06,
                4.7850927808475986e-06,
                4.785096772081933e-06,
                2.902313021308178e-06,
                2.5612831261041147e-06,
                1.3709573690166505e-06
            ],
            [
                NaN,
                2.2603240257882967e-06,
                NaN,
                2.9023116377197043e-06,
                1.0129995702688974e-05,
                2.26032429591361e-06,
                2.902313361809994e-06,
                1.0129987324387472e-05,
                1.9947290072505727e-06,
                NaN
            ],
            [
                NaN,
                1.7603425822717445e-06,
                2.561281293536009e-06,
                3.288748666927689e-06,
                6.14417533016015e-06,
                NaN,
                9.422444789160632e-07,
                NaN,
                1.7603432128013408e-06,
                5.422221499654737e-06
            ],
            [
                4.7850927786716e-06,
                NaN,
                2.902313365072578e-06,
                4.2228344468028986e-06,
                1.0677026145131788e-06,
                NaN,
                NaN,
                5.043475280178535e-07,
                1.2098661152227301e-06,
                NaN
            ],
            [
                6.144176055199876e-06,
                4.222833945692974e-06,
                5.422220255507965e-06,
                5.4222189586146595e-06,
                3.2887498463624074e-06,
                6.962257905676445e-06,
                8.93970055837021e-06,
                7.889259729947541e-06,
                4.222832433484029e-06,
                1.3007125346306084e-05
            ],
            [
                NaN,
                1.3007123787759256e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                6.144176060586767e-06,
                NaN,
                NaN,
                NaN
            ],
            [
                3.7266397243406234e-06,
                6.962254586824882e-06,
                2.902311291157502e-06,
                4.222834448492775e-06,
                NaN,
                NaN,
                NaN,
                6.144176795416864e-06,
                3.2887486671191187e-06,
                1.994729481661797e-06
            ],
            [
                1.5534981241464251e-06,
                2.260323758598623e-06,
                5.422217026412668e-06,
                NaN,
                3.726639277462099e-06,
                2.5612828206131103e-06,
                6.96225541098438e-06,
                1.5534981245957261e-06,
                2.9023119839440746e-06,
                9.422443689039736e-07
            ],
            [
                3.7266383942867467e-06,
                NaN,
                3.288747888478753e-06,
                NaN,
                4.785093352595421e-06,
                NaN,
                NaN,
                4.222834449076551e-06,
                NaN,
                6.962259567027776e-06
            ],
            [
                NaN,
                NaN,
                1.553498309557968e-06,
                NaN,
                NaN,
                8.939698426315848e-06,
                NaN,
                NaN,
                NaN,
                6.144173128956427e-06
            ],
            [
                NaN,
                4.006368655681131e-05,
                NaN,
                NaN,
                NaN,
                3.5356267264883325e-05,
                4.785096198227335e-06,
                2.9023126755377e-06,
                2.144494586453186e-05,
                NaN
            ],
            [
                1.994729719168607e-06,
                6.1441731309681274e-06,
                5.4222202516022525e-06,
                7.889262578983744e-06,
                4.7850939065001245e-06,
                2.902311981219977e-06,
                2.902313014624633e-06,
                NaN,
                NaN,
                8.939697346288077e-06
            ],
            [
                5.4222195825815386e-06,
                NaN,
                NaN,
                NaN,
                1.1478769477191818e-05,
                4.222833440773207e-06,
                NaN,
                4.785093922654737e-06,
                1.6701421790617727e-05,
                3.2887482793423147e-06
            ],
            [
                NaN,
                5.422219613353806e-06,
                4.78509278100427e-06,
                8.939694125361082e-06,
                1.2098656819825055e-06,
                1.1478770834235445e-05,
                7.889262582112126e-06,
                NaN,
                6.144174598191315e-06,
                7.889259756352216e-06
            ],
            [
                6.962255407666365e-06,
                2.5612834317535587e-06,
                NaN,
                2.2603248358025224e-06,
                NaN,
                NaN,
                2.9023130154481978e-06,
                2.56128281314018e-06,
                NaN,
                5.422218320287462e-06
            ],
            [
                5.4222176755001384e-06,
                4.222831931882744e-06,
                6.962255417544426e-06,
                NaN,
                3.7266392832104296e-06,
                5.422219613176275e-06,
                1.553497383500805e-06,
                NaN,
                NaN,
                4.785093921819153e-06
            ],
            [
                NaN,
                2.2603237526205083e-06,
                NaN,
                NaN,
                1.1478773407094055e-05,
                1.370957531953527e-06,
                9.422449287545292e-07,
                4.785094478039184e-06,
                NaN,
                2.9023116360725755e-06
            ],
            [
                1.0129989759440728e-05,
                NaN,
                NaN,
                1.2098652498912166e-06,
                3.726640168236576e-06,
                3.7266406155693803e-06,
                2.902313021688285e-06,
                3.726638393005574e-06,
                4.222833943788023e-06,
                1.7603427921141721e-06
            ],
            [
                NaN,
                NaN,
                1.7603432126700574e-06,
                1.4738983692672322e-05,
                NaN,
                8.93969842283598e-06,
                8.939693097726971e-06,
                3.726638393005574e-06,
                NaN,
                NaN
            ],
            [
                8.939700561817559e-06,
                2.5612819040145253e-06,
                NaN,
                1.1478769485293071e-05,
                8.939695236593446e-06,
                NaN,
                NaN,
                2.902311292303101e-06,
                NaN,
                3.2887502400378273e-06
            ],
            [
                1.8925148190958954e-05,
                NaN,
                8.939699491936438e-06,
                NaN,
                NaN,
                5.422220256296998e-06,
                1.553497383093891e-06,
                NaN,
                NaN,
                2.260323488317136e-06
            ],
            [
                3.7266383919887704e-06,
                6.144174593452641e-06,
                NaN,
                6.144176786073625e-06,
                5.422218318452962e-06,
                8.939694127117276e-06,
                NaN,
                6.96225873320501e-06,
                NaN,
                1.1478773596283455e-05
            ],
            [
                2.5612828199701775e-06,
                7.889263516206584e-06,
                NaN,
                1.7603425835461557e-06,
                4.2228344486464006e-06,
                NaN,
                NaN,
                2.2603242974060834e-06,
                1.99473067167069e-06,
                6.962255906483129e-06
            ],
            [
                6.9622570730569755e-06,
                NaN,
                2.561281596087045e-06,
                NaN,
                0.0001584361773302714,
                2.1444943278894603e-05,
                NaN,
                NaN,
                4.5397879270319266e-05,
                NaN
            ],
            [
                7.889261621153886e-06,
                7.889259752506317e-06,
                6.144176794276899e-06,
                1.14787722137456e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                3.2887482772006948e-06,
                1.99473019627589e-06
            ],
            [
                2.9023119836906703e-06,
                4.785093910225434e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                3.7266392738829493e-06
            ],
            [
                2.2603251059484907e-06,
                6.962256244819412e-06,
                1.7603434229000067e-06,
                1.0677033785154525e-06,
                6.1441767890017686e-06,
                NaN,
                1.5534983094279815e-06,
                9.422445936603301e-07,
                3.726638837240303e-06,
                1.7603425828353032e-06
            ],
            [
                2.260324566540559e-06,
                2.902313366286808e-06,
                3.288750235407618e-06,
                3.288749453751862e-06,
                4.22283544814726e-06,
                4.785092781300206e-06,
                3.2887486705289608e-06,
                1.2098652504854136e-06,
                NaN,
                4.222832434513317e-06
            ],
            [
                NaN,
                1.9947297196910942e-06,
                5.422220903126249e-06,
                NaN,
                4.785095632554564e-06,
                6.962257887060092e-06,
                7.889260682524937e-06,
                7.889265400583057e-06,
                1.1478772217295121e-05,
                8.939693104410264e-06
            ],
            [
                NaN,
                NaN,
                1.3007126902913016e-05,
                0.00015843625042077442,
                NaN,
                NaN,
                2.144494047122821e-05,
                NaN,
                NaN,
                1.6701417792229172e-05
            ],
            [
                2.5612825150988476e-06,
                2.902311982539792e-06,
                9.422443687411502e-07,
                4.785093919051283e-06,
                6.144175317173497e-06,
                3.7266383705816657e-06,
                1.0,
                8.939698408656325e-06,
                7.338207179346415e-07,
                1.0129992178205843e-05
            ],
            [
                3.2887482758487226e-06,
                NaN,
                1.9947297195241885e-06,
                6.962255412934664e-06,
                1.1478768107036013e-05,
                3.7266392751573435e-06,
                3.7266410589163644e-06,
                4.222832432316479e-06,
                6.962257048336488e-06,
                1.8925150415712874e-05
            ],
            [
                2.9023112926779284e-06,
                NaN,
                1.6701419812324218e-05,
                NaN,
                1.7603434225125603e-06,
                2.2603237578996687e-06,
                8.939695209128508e-06,
                4.785095627314758e-06,
                NaN,
                3.7266406119156634e-06
            ],
            [
                1.1478766727902181e-05,
                NaN,
                1.6701427797619914e-05,
                4.785095053025096e-06,
                NaN,
                3.288749840870764e-06,
                2.561282514884537e-06,
                NaN,
                8.939694168517944e-06,
                2.260325374556791e-06
            ],
            [
                2.5612825150988476e-06,
                NaN,
                2.902311981916839e-06,
                2.2603242911607197e-06,
                0.0,
                6.14417459495024e-06,
                4.222832940339353e-06,
                6.962258817827106e-06,
                3.7266397273639203e-06,
                2.5612834314274337e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                1.3709568793283367e-06,
                2.561283431371526e-06,
                NaN,
                1.6701429785817993e-05,
                NaN,
                6.144174586925786e-06
            ],
            [
                NaN,
                2.9023119836906703e-06,
                NaN,
                3.2887506237230497e-06,
                2.26032375545744e-06,
                4.222833945262824e-06,
                NaN,
                3.7266392761063604e-06,
                4.22283193160622e-06,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.9947297195241885e-06,
                2.561282817733889e-06,
                3.2887498449865053e-06,
                4.222834948542745e-06
            ],
            [
                NaN,
                2.2603242964974424e-06,
                2.5612828199701775e-06,
                5.4222202613172164e-06,
                NaN,
                2.5612831257360585e-06,
                1.3007134613599621e-05,
                1.3007130004960144e-05,
                4.785094490085514e-06,
                1.2098656821541624e-06
            ],
            [
                1.5534983092358275e-06,
                3.7266392792516733e-06,
                2.5612825039360427e-06,
                2.9023109457778955e-06,
                2.2603245661540776e-06,
                1.5534971976146399e-06,
                4.222832431671253e-06,
                9.422449305353045e-07,
                6.475950295306549e-07,
                3.7266397252896404e-06
            ],
            [
                6.144173860746269e-06,
                6.1441738604109855e-06,
                2.902312328257395e-06,
                NaN,
                3.72663972290354e-06,
                5.422218318886929e-06,
                4.785092770176505e-06,
                NaN,
                1.2098659715722247e-06,
                3.2887482695913637e-06
            ],
            [
                3.2887506304230942e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                3.726640610749728e-06,
                1.4738976661036374e-05,
                4.785094489667722e-06,
                4.785096204024198e-06,
                6.144173858734567e-06
            ],
            [
                1.7603430029972875e-06,
                NaN,
                NaN,
                1.9947299584388403e-06,
                3.288749062433515e-06,
                3.7266410589163644e-06,
                NaN,
                6.96225956643256e-06,
                NaN,
                NaN
            ],
            [
                4.222835452756017e-06,
                NaN,
                NaN,
                2.260324833779666e-06,
                2.9023112875464893e-06,
                2.5612822097104134e-06,
                3.288749827925324e-06,
                2.260325369540762e-06,
                NaN,
                2.9023119792772094e-06
            ],
            [
                9.422447055080666e-07,
                NaN,
                NaN,
                3.2887486724851334e-06,
                7.889260695698573e-06,
                8.939698428202134e-06,
                NaN,
                1.3709567163017629e-06,
                3.2887478863371333e-06,
                1.7603438406094282e-06
            ],
            [
                7.88926446014551e-06,
                2.144494313620595e-05,
                2.9023119781791235e-06,
                4.222835454952857e-06,
                4.222833945262824e-06,
                8.93969522776369e-06,
                4.785093347024865e-06,
                1.6701421783812786e-05,
                NaN,
                7.889263479986242e-06
            ],
            [
                3.7266401716055872e-06,
                2.561281903390228e-06,
                6.144173858376932e-06,
                1.7603438419414773e-06,
                NaN,
                NaN,
                1.0677031243632815e-06,
                2.5612822103812995e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                2.5612812894454666e-06,
                6.144176791572277e-06,
                1.3007128457012223e-05,
                1.9947292444380286e-06,
                3.5356267359033755e-05,
                3.726638388802786e-06,
                2.561282817184135e-06,
                7.889263465061852e-06,
                3.7266383932767217e-06
            ],
            [
                5.4222183156716234e-06,
                2.5612831236674914e-06,
                2.5612834308404076e-06,
                2.5612825138223e-06,
                6.144177525933064e-06,
                4.222833939148543e-06,
                5.42222153748886e-06,
                1.3709573696450765e-06,
                NaN,
                3.7266397243406234e-06
            ],
            [
                2.9023119810721573e-06,
                NaN,
                6.14417311328751e-06,
                5.4222215537823875e-06,
                4.785094482983054e-06,
                NaN,
                1.670141784666869e-05,
                NaN,
                6.9622545835828505e-06,
                6.962255407261111e-06
            ],
            [
                NaN,
                1.7603434225125603e-06,
                2.5612822099713135e-06,
                2.9023123298306144e-06,
                7.889263519392366e-06,
                1.370957860141542e-06,
                3.7266388369691555e-06,
                7.889259750784274e-06,
                2.7535681189993494e-05,
                1.5534973838483772e-06
            ],
            [
                4.785096201273734e-06,
                8.93970056424046e-06,
                NaN,
                2.4300237787837067e-05,
                3.7266410525037185e-06,
                6.962256238740605e-06,
                4.222834951246548e-06,
                2.5612834269269015e-06,
                5.422220901587636e-06,
                NaN
            ],
            [
                8.93969736258167e-06,
                NaN,
                6.144172394640869e-06,
                NaN,
                NaN,
                6.144174597520747e-06,
                3.2887486680523385e-06,
                4.7850956323804825e-06,
                NaN,
                4.785095615163977e-06
            ],
            [
                NaN,
                NaN,
                2.2603248360409897e-06,
                1.1478770838077277e-05,
                NaN,
                4.222835450513089e-06,
                7.889262570115216e-06,
                2.1444945630800162e-05,
                NaN,
                1.1478768062771435e-05
            ],
            [
                2.9023123274655057e-06,
                NaN,
                7.889266333185408e-06,
                2.56128251465159e-06,
                2.2603253744087765e-06,
                6.144175332440078e-06,
                1.3709576955038862e-06,
                1.760342788675182e-06,
                3.7266397155825518e-06,
                2.9023126756221686e-06
            ],
            [
                NaN,
                4.222833404840288e-06,
                8.939700562695657e-06,
                NaN,
                NaN,
                1.209865827698362e-06,
                7.889259745905149e-06,
                1.9947299583227324e-06,
                NaN,
                6.144172399088963e-06
            ],
            [
                4.222832431901691e-06,
                NaN,
                8.939696299530582e-06,
                6.144174598392485e-06,
                3.7266383919887704e-06,
                2.56128251465159e-06,
                NaN,
                4.785096203449735e-06,
                2.5612815953695696e-06,
                6.1441738659766924e-06
            ],
            [
                1.1478769479572082e-05,
                3.2887482800422294e-06,
                4.785093344918499e-06,
                3.726637946750849e-06,
                4.785095063713602e-06,
                1.994729955703038e-06,
                4.785095061642053e-06,
                NaN,
                2.9023119840232638e-06,
                2.9023119809243382e-06
            ],
            [
                3.2887490611054712e-06,
                3.2887478802951334e-06,
                6.1441745989959955e-06,
                NaN,
                1.3709570425793677e-06,
                5.422221547923819e-06,
                NaN,
                1.3709576926011564e-06,
                NaN,
                2.260324289006296e-06
            ],
            [
                1.7603427921846167e-06,
                2.260324835864195e-06,
                6.144172400519507e-06,
                NaN,
                2.902311637022842e-06,
                1.6701419755211328e-05,
                3.288747885774808e-06,
                1.7603425815801042e-06,
                NaN,
                NaN
            ],
            [
                6.962258729228455e-06,
                2.260324025993871e-06,
                5.422220893993195e-06,
                NaN,
                NaN,
                5.422218312594398e-06,
                2.561283428222086e-06,
                2.5612819005296437e-06,
                5.043473475740182e-07,
                1.7603425811382225e-06
            ],
            [
                7.889259760542522e-06,
                1.9947301927527277e-06,
                2.260324025007112e-06,
                NaN,
                7.889264460776929e-06,
                2.9023112909463313e-06,
                9.422447057617284e-07,
                NaN,
                2.9023133621901006e-06,
                8.939695221486917e-06
            ],
            [
                3.2887486720783454e-06,
                3.7266406162269133e-06,
                6.144175326159099e-06,
                1.994730195408706e-06,
                2.9023133686360798e-06,
                1.7603434225573886e-06,
                NaN,
                4.7850927794723686e-06,
                NaN,
                1.2098662595774867e-06
            ],
            [
                4.785094479536272e-06,
                7.889259745388535e-06,
                4.785093337293802e-06,
                2.4300251845463857e-05,
                7.889259759222289e-06,
                3.120191124050323e-05,
                1.4738978441840487e-05,
                5.422219587552443e-06,
                1.0129988532627245e-05,
                8.93970055547574e-06
            ],
            [
                4.222835454276907e-06,
                3.288748276375154e-06,
                NaN,
                1.3007129972168044e-05,
                1.3709567157281996e-06,
                6.144175333155351e-06,
                NaN,
                8.939699488489092e-06,
                4.222834951246548e-06,
                6.1441724029223715e-06
            ],
            [
                1.760343212247388e-06,
                NaN,
                3.726638393005574e-06,
                3.28874906093797e-06,
                NaN,
                8.93969522090152e-06,
                2.9023116377197043e-06,
                1.6701429781200352e-05,
                NaN,
                3.7266379492860785e-06
            ],
            [
                2.5612819038468034e-06,
                6.144176790968767e-06,
                2.5612825108312644e-06,
                2.9023119810721573e-06,
                6.144176042280279e-06,
                7.889259751673995e-06,
                1.4738980180928993e-05,
                NaN,
                3.2887490635222714e-06,
                NaN
            ],
            [
                4.785093350593502e-06,
                1.1478773583275509e-05,
                1.370957859837304e-06,
                9.422447060016788e-07,
                2.5612819028684275e-06,
                2.5612828199701775e-06,
                6.962253755776166e-06,
                9.422445928376431e-07,
                1.3007126906982452e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                2.5612834305981435e-06,
                4.222833442032933e-06,
                1.5534973835884043e-06,
                NaN,
                NaN,
                6.962255406855858e-06,
                2.5612819035765855e-06,
                3.288747882472646e-06
            ],
            [
                6.962256243730292e-06,
                NaN,
                1.7603440478071194e-06,
                6.962253756687988e-06,
                6.9622537539525255e-06,
                5.422220241344828e-06,
                5.4222196128014845e-06,
                NaN,
                NaN,
                4.2228344494606135e-06
            ],
            [
                4.7850927794723686e-06,
                3.288748279952497e-06,
                2.2603251051796405e-06,
                NaN,
                6.144176757015703e-06,
                NaN,
                1.994730671950076e-06,
                2.902310946031299e-06,
                3.28875023217724e-06,
                4.222833941345383e-06
            ],
            [
                6.144177518869754e-06,
                4.222833442570621e-06,
                NaN,
                NaN,
                2.43002435523294e-05,
                8.939696286001373e-06,
                NaN,
                NaN,
                5.422220901587636e-06,
                3.726638838107975e-06
            ],
            [
                4.785094491756681e-06,
                NaN,
                4.785094493184135e-06,
                5.422218310897978e-06,
                6.962253752154212e-06,
                NaN,
                6.144177527385961e-06,
                8.939696300636336e-06,
                NaN,
                6.144173129850516e-06
            ],
            [
                1.7603427924407798e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                1.7603438424506017e-06,
                NaN,
                NaN,
                NaN,
                1.0677024878605626e-06
            ]
        ]
    },
    {
        "q_id": "10753_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                3.120192618660529e-05,
                0.9988304897324967,
                0.9999417087275401,
                0.9999930377404307,
                0.9999038976082765,
                1.8925152736303473e-05,
                0.9997694932029679,
                0.9999938558224696,
                0.9998204720781003,
                0.999891103038896
            ],
            [
                0.9999599362934992,
                0.9999546021097292,
                0.9998766053957648,
                0.9998911030389482,
                0.9980732655587508,
                0.0011695100893568532,
                0.0009110513600219104,
                0.9998204720557833,
                5.144220129803702e-05,
                0.9999417087484042
            ],
            [
                0.9999977396751634,
                0.9999885212305227,
                0.9999898700066082,
                0.9999869928653574,
                0.9999945777829695,
                0.9999970976883611,
                0.9999952149066468,
                0.9999938558232011,
                0.9999921107336551,
                0.9999930377404307
            ],
            [
                0.9999945777810304,
                0.9999974387187054,
                0.9999977396759719,
                0.9999945777784449,
                0.9999952149049355,
                0.9999885212305079,
                0.9999952149049383,
                0.9999938558268636,
                0.999997438717179,
                0.9999930377454131
            ],
            [
                0.9999869928746395,
                0.9999938558253986,
                0.999993855826131,
                0.9999962733598275,
                0.9999938558224688,
                0.9999984465026159,
                0.9999989322966208,
                0.9999962733607163,
                0.999998005270992,
                0.9999977396757024
            ],
            [
                0.9999962733611604,
                0.9999991684720715,
                0.9999938558239335,
                0.9999546021097749,
                0.9999832985761683,
                0.9999952149066462,
                0.9998911031040516,
                0.9999967112509351,
                0.9999945777810304,
                0.9999982396559474
            ],
            [
                0.999997438717484,
                0.999986992869987,
                0.9999910603036967,
                0.9999957771680661,
                0.9999898700126436,
                0.9999977396748939,
                0.999993855822469,
                0.9999962733589393,
                0.9999962733602717,
                0.9999986290424663
            ],
            [
                0.9999910603068939,
                0.9999970976869772,
                0.9999910603037071,
                0.9999967112501523,
                0.9999910603004994,
                0.9999986290432835,
                0.9999980052693275,
                0.9999952149032237,
                0.9999986290427932,
                0.9999982396574164
            ],
            [
                0.9999952149043647,
                0.9999930377420989,
                0.9997965730529265,
                0.9999038975741934,
                0.9999646437493349,
                0.9999485577741718,
                0.9999687980812089,
                0.9999910603047667,
                0.9999898700114396,
                0.9999832985721872
            ],
            [
                0.9999982396561572,
                0.999996711250543,
                0.9999977396746245,
                0.9999982396569965,
                0.9999967112501511,
                0.9999984465020603,
                0.9999982396559474,
                0.9999974387177893,
                0.9999910603015656,
                0.9999974387165681
            ],
            [
                0.9999952149032242,
                0.9999957771680672,
                0.9999977396754334,
                0.9999952149060765,
                0.9999952149032246,
                0.9999974387184003,
                0.9999952149072172,
                0.9999977396762422,
                0.9999980052702786,
                0.9999970976873229
            ],
            [
                0.9999989322966208,
                0.9999984465016899,
                0.9999810748585306,
                0.9999989322968754,
                0.9999986290421395,
                0.9999852610197967,
                0.9999869928668877,
                0.9999994284994849,
                0.9999599363031149,
                0.9999990577556308
            ],
            [
                0.9999485577802507,
                0.9998911031039217,
                0.9999339478556922,
                0.9996646497811086,
                0.9999921107374146,
                0.9999417087347078,
                0.9999869928746431,
                0.9999546021422073,
                0.9999810748517685,
                0.9998766054701341
            ],
            [
                0.9999646437366809,
                0.9990889486931188,
                0.9994472214542448,
                0.0002959570563020209,
                0.9997388097856731,
                4.5397884790260616e-05,
                0.0013250222875043113,
                1.1478773589247056e-05,
                0.9999151889489679,
                0.9999910603004992
            ],
            [
                0.9999993524054335,
                0.9999989322968754,
                0.9999986290421394,
                0.9999986290429566,
                0.9999989322970027,
                0.9999993524054335,
                0.9999986290421394,
                0.999998790134028,
                0.9999989322968754,
                0.999998790134605
            ],
            [
                0.9999957771660528,
                0.9999938558261318,
                0.9999990577555186,
                0.9999980052707543,
                0.99999893229713,
                0.9999930377429209,
                0.9999980052700408,
                0.9999980052695652,
                0.9999974387168734,
                0.9999974387180952
            ],
            [
                0.9999989322966208,
                0.9999990577551815,
                0.9999995549151073,
                0.9999994956527721,
                0.9999987901340281,
                0.9999995549150011,
                0.9999989322966208,
                0.9999994956524715,
                0.9999993524050474,
                0.9999991684721706
            ],
            [
                0.9999974387180947,
                0.9999974387168737,
                0.9999945777816779,
                0.9999987901338838,
                0.9999987901344607,
                0.9999982396569966,
                0.9999984465028011,
                0.9999990577554061,
                0.9999989322970028,
                0.9999982396559474
            ],
            [
                3.120190392409636e-05,
                0.9999898700126449,
                0.9999921107392958,
                0.9999885212277717,
                0.9999687980737629,
                0.9999885212277704,
                0.9999038975394012,
                0.9999546021261099,
                0.9999038976208042,
                3.5356254902111115e-05
            ],
            [
                0.999983298574187,
                0.9999785550464995,
                0.9999921107402365,
                0.9999810748427379,
                0.9999898700078131,
                0.9999910603069049,
                0.9999832985721999,
                0.999991060299434,
                0.00023050676911710389,
                0.9999151889190531
            ],
            [
                0.9994472212643508,
                0.9999785550567043,
                2.144494327788042e-05,
                0.001032230850327331,
                0.9999869928730869,
                0.9999952149032244,
                9.610242577727206e-05,
                0.9999785550592579,
                0.9998204719484768,
                5.144219508512183e-05
            ],
            [
                0.9999984465020603,
                0.999998005269803,
                0.9999974387171788,
                0.9999852610198042,
                0.9999957771680658,
                0.9999991684721706,
                0.9999989322972572,
                0.999998446502801,
                0.9999982396567868,
                0.9999977396754329
            ],
            [
                0.9999938558239335,
                0.9999977396754329,
                0.9999930377445823,
                0.9999898700066064,
                0.9999945777790913,
                0.9999930377462406,
                0.9999921107345933,
                0.9999251537642646,
                0.9999970976866314,
                0.9999952149072178
            ],
            [
                0.9991959138909612,
                1.4738978439695717e-05,
                0.9999151889488396,
                NaN,
                1.670142582254589e-05,
                NaN,
                6.605216032342332e-05,
                0.9999898700066052,
                3.120191877791261e-05,
                0.00010889694735546742
            ],
            [
                0.9999785550413659,
                0.9999417087069298,
                0.9999810748540827,
                0.9999251537818146,
                0.16451646699291617,
                0.9820137874717586,
                0.9999038976085548,
                0.999860177876758,
                0.9999785550516671,
                0.9999756997592866
            ],
            [
                7.889259756352216e-06,
                0.9999646437366809,
                0.8807970732843033,
                0.9999417087553522,
                0.9999151889790031,
                0.9993736658412712,
                0.9999251537372333,
                0.0005527786601096373,
                0.9997040427601902,
                0.9998204720570658
            ],
            [
                0.9999251537996863,
                0.9999724643056274,
                0.9990889490111688,
                0.9996200154702357,
                0.7057850278370112,
                0.9999869928699856,
                1.670141586084161e-05,
                0.9999869928653348,
                0.9997388096933677,
                0.9999945777790923
            ],
            [
                0.9999417087136822,
                1.8925143694497584e-05,
                0.00010889695966851334,
                0.000335350181386701,
                0.9999646437535097,
                0.9999417087486752,
                0.9988304897484075,
                0.999975699762166,
                0.9999151889693842,
                8.4811010852998e-05
            ],
            [
                0.9999982396565769,
                0.999997739675972,
                0.9999974387171787,
                0.9999986290421395,
                0.9999984465022455,
                0.9999987901344608,
                0.9999986290423029,
                0.9999869928668892,
                0.9999990577554062,
                0.9999987901338839
            ],
            [
                0.9999756997621677,
                0.9999852610233088,
                0.9999687980998067,
                0.9999945777816773,
                0.9999852610110059,
                0.9999724642991002,
                0.9999921107345946,
                0.9999546021315707,
                0.9999546021314538,
                0.9999251537639228
            ],
            [
                0.9999938558224688,
                0.9999869928653348,
                0.9999952149032248,
                0.9999952149055067,
                0.9999921107355361,
                0.999991060299436,
                0.9999921107383608,
                0.9999938558224716,
                0.9999898700041923,
                0.9999869928715378
            ],
            [
                0.9999898700090203,
                0.9999930377454164,
                0.999989870007817,
                0.9999898700090215,
                0.9999945777829701,
                0.0003799845014197727,
                0.9999921107345936,
                0.9999832985702033,
                0.9999977396754327,
                0.9999921107336528
            ],
            [
                0.9999785550464798,
                0.9999852610197894,
                0.9999910603037004,
                0.999996711249759,
                0.9999938558253986,
                NaN,
                0.99990389758598,
                0.9999910603015649,
                1.3007125361755747e-05,
                0.999995777166556
            ],
            [
                0.9999991684721706,
                0.9999945777797405,
                0.999998790134028,
                0.9999986290421394,
                0.9999987901343166,
                0.9999982396563671,
                0.9999992661787571,
                0.999999266179282,
                0.9999974387184,
                0.999995777165046
            ],
            [
                0.9999974387177898,
                0.9999921107364755,
                0.9999970976883616,
                0.9999957771665566,
                0.9999962733593838,
                0.9999989322967484,
                0.9999967112493665,
                0.9999986290429568,
                0.9999962733607163,
                0.9999921107374175
            ],
            [
                0.9999930377454196,
                0.9999986290423031,
                0.9999993524054334,
                0.999998629042303,
                0.9999992661791944,
                0.9999938558224786,
                0.9999921107374177,
                0.9999994284996893,
                0.9999982396561573,
                0.9999992661786696
            ],
            [
                0.9999910603047636,
                0.9999952149066461,
                0.9999962733593833,
                0.9999952149055054,
                0.9999986290432835,
                0.9999974387180947,
                0.9999970976887068,
                0.9999970976880149,
                0.9999967112501507,
                0.9999977396762412
            ],
            [
                0.9999989322970028,
                0.9999987901344609,
                0.9999977396757023,
                0.9999962733607164,
                0.9999984465026167,
                0.9999987901338839,
                0.9999756997506082,
                0.9999869928730887,
                0.999998790134461,
                0.9999980052698034
            ],
            [
                0.9999995549149481,
                0.9999992661786696,
                0.9999992661787571,
                0.9999997617630616,
                0.9999952149066496,
                0.9999989322973846,
                0.9999967112513283,
                0.9999993524050474,
                0.9999991684721706,
                0.99999893229713
            ],
            [
                1.3007131563815288e-05,
                0.9998204719919616,
                0.9975273765797712,
                1.0129988562901417e-05,
                0.9997388097532681,
                4.785093924251918e-06,
                6.144173869240119e-06,
                4.006369209745375e-05,
                0.9992903295708897,
                0.0002034269963754405
            ],
            [
                0.9999930377454109,
                0.9999785550567023,
                0.9999810748495125,
                0.9999910603058306,
                0.999991060306896,
                0.999978555056703,
                0.9999599363126186,
                0.9999898700053997,
                0.9999910602994353,
                0.9999910603037075
            ],
            [
                0.9992903295358437,
                0.0002034269929422463,
                0.9964063974010723,
                0.9982992777607208,
                0.9959298627125871,
                0.9999038975626571,
                0.9994472213393437,
                0.9999687980849095,
                0.9999869928653392,
                0.002182716834793416
            ],
            [
                0.9999885212277699,
                0.9999980052698031,
                0.9999930377437504,
                0.99998526101803,
                0.9999962733602719,
                0.9999339478401317,
                0.9999921107383557,
                0.9999898700102289,
                0.9999485577989157,
                0.9999967112509347
            ],
            [
                0.996827317315831,
                3.120192622644674e-05,
                0.998967768940797,
                0.9992903296643039,
                0.9859363705677436,
                0.9988304896067062,
                0.9994472213948808,
                0.9959298621330965,
                0.9991959142485832,
                0.9953904287308193
            ],
            [
                0.999986992868443,
                0.00037998451692966063,
                0.9999832985841371,
                0.9991959141700626,
                0.9998766053822795,
                0.9999921107364758,
                0.9999938558232011,
                0.9999910603026309,
                0.999983298574177,
                0.9999251537551883
            ],
            [
                0.9999990577556308,
                0.9999987901347493,
                0.99999893229713,
                0.999999554914895,
                0.9999986290426297,
                0.9999930377445817,
                0.9999992661787571,
                0.9999756997563973,
                0.9999982396567869,
                0.9996646499767011
            ],
            [
                0.999999495652652,
                0.9999984465024306,
                0.9999993524052019,
                0.9999987901343166,
                0.9999990577557432,
                0.9999990577552939,
                0.9999994956524716,
                0.999999266178932,
                0.9999992661786696,
                0.9999485577805217
            ],
            [
                0.9999970976880149,
                0.999975699767971,
                0.9999151889285541,
                0.9999646437450794,
                0.999983298580152,
                0.9999646437577323,
                0.9999785550413666,
                0.9999687980923607,
                0.999986992869994,
                0.9999945777816768
            ],
            [
                0.9999945777797377,
                0.9999984465024307,
                0.9999869928746369,
                0.9999957771680659,
                0.9999038975966703,
                0.0013250223381862714,
                0.9996646497305981,
                0.9999785550515963,
                0.9999945777790915,
                2.430025227209024e-05
            ],
            [
                4.539788480710582e-05,
                0.9999038976081129,
                0.9998601779784391,
                0.999978555054148,
                0.9999251537817503,
                0.9933071497598742,
                0.9999339478789513,
                0.9991959140517438,
                7.889264465986113e-06,
                0.9999687980961007
            ],
            [
                0.9999952149049351,
                0.999988521231875,
                0.9999967112501511,
                0.9999930377462429,
                0.999997097686977,
                0.9999952149043655,
                0.2942149783515162,
                0.9999974387168733,
                0.9999938558254001,
                0.9999756997650809
            ],
            [
                0.9998601778761151,
                0.9999921107355363,
                1.3007130004439633e-05,
                0.9999910603047626,
                0.999978555056703,
                0.999569442964218,
                0.9999646437450873,
                0.00150118202395632,
                0.9999599363030525,
                0.9995121429441453
            ],
            [
                0.999959936298299,
                0.9995121428849663,
                0.999986992873089,
                0.9998911031297456,
                0.9993736659195692,
                0.999948557792583,
                0.9998601779763558,
                0.5,
                0.9999724642957865,
                0.9999910603058283
            ],
            [
                0.5621765008857982,
                0.9999977396754328,
                0.9999993524050474,
                0.9997694933690287,
                0.9999756997650937,
                0.9999952149055056,
                0.9999869928668877,
                0.9999962733593838,
                0.9999832985761709,
                0.9999852610180324
            ],
            [
                0.9999967112517189,
                0.9999974387180949,
                0.9999980052693277,
                0.9999989322968754,
                0.9999687980776397,
                0.9999938558224687,
                0.9999974387171792,
                0.9999990577551815,
                0.9999982396574164,
                0.9999967112513272
            ],
            [
                0.9999921107374145,
                0.9991959141254944,
                0.9999898700041944,
                0.999964643757729,
                0.9999952149043646,
                0.9999957771660524,
                0.9998415637833618,
                0.9998766054104872,
                0.9999546021421969,
                0.9999724643089045
            ],
            [
                0.9999967112497586,
                0.9999938558276306,
                0.999860177926084,
                0.9999930377445809,
                0.9999930377404314,
                0.999985261012762,
                0.999997097686977,
                0.9999687980923515,
                0.9999898700066059,
                0.9999952149037946
            ],
            [
                0.9999984465018751,
                0.9999945777803866,
                0.9999980052702786,
                0.9999967112509347,
                0.9999982396572065,
                0.9999986290432835,
                0.9999989322970028,
                0.9999970976883609,
                0.9999962733598275,
                0.9999967112509353
            ],
            [
                0.9998415637842584,
                0.9982992775365819,
                0.9914225125904766,
                0.9994472212965412,
                0.9992903295054212,
                0.00013982203970365172,
                0.9940889322984685,
                8.939693106182721e-06,
                0.9989677691862859,
                0.9995121429428112
            ],
            [
                0.9999038975507067,
                0.9999930377462403,
                0.9999869928668853,
                0.9999756997593124,
                0.9999599363078162,
                8.481106129821764e-05,
                0.9999957771645422,
                0.002472622650695075,
                0.9999810748585316,
                0.9999930377412616
            ],
            [
                0.9999962733589389,
                0.9999957771655488,
                0.9999970976883609,
                0.9999967112497589,
                0.9999970976876692,
                0.9999832985741877,
                0.9999930377429219,
                0.9999977396759718,
                0.9999546021208575,
                0.9999546021421996
            ],
            [
                0.9989677691502729,
                0.9984988174015953,
                0.9999251537639581,
                0.9999417087555761,
                0.9999417087485267,
                9.610239151515258e-05,
                0.00037998449005543616,
                1.8925152738024674e-05,
                0.9998204720346757,
                0.9999869928653352
            ],
            [
                0.9995121429556972,
                1.8925148237775583e-05,
                2.7535694343912553e-05,
                0.9980732649896752,
                0.9999756997592822,
                0.9999810748427427,
                0.0009110514089771462,
                0.9996646499736961,
                0.9999038975736445,
                5.4222202623972055e-06
            ],
            [
                0.9997965729812437,
                1.670141984792864e-05,
                0.9740426455336738,
                0.9998415638034883,
                0.0009110511195902821,
                0.9998911031305648,
                0.9998415637277122,
                0.9947798745821074,
                5.144223164439577e-05,
                0.9996646499707494
            ],
            [
                0.9947798751842195,
                0.9999993524054335,
                0.9999938558253996,
                0.9999996533673375,
                0.9999990577550693,
                0.9999995549149481,
                0.9999980052693276,
                0.9999990577552939,
                0.9999852610215618,
                0.9999980052693275
            ],
            [
                0.9999869928699877,
                0.999989870006613,
                0.9999869928653436,
                0.9999852610197937,
                0.999983298570206,
                0.999993037745414,
                0.9999832985781667,
                0.9999832985781612,
                0.9999687980961516,
                0.9999810748495092
            ],
            [
                0.9999986290424664,
                0.9999962733589395,
                0.9999992661789321,
                0.9999974387174841,
                0.9999992661791945,
                0.999999168471675,
                0.9999984465015047,
                0.99999862904312,
                0.9999987901343165,
                0.9999982396569966
            ],
            [
                0.9999724643155059,
                0.999993855823937,
                0.9999885212305303,
                0.9999910602994362,
                0.99997855505926,
                0.9999251537653854,
                0.9999546021259903,
                0.9999810748562817,
                0.9999952149055058,
                0.9999852610145278
            ],
            [
                0.9999967112497589,
                0.9999921107364791,
                0.9999982396569966,
                0.9999967112497591,
                0.9999970976873233,
                0.999998005269803,
                0.9149009584734676,
                0.9999990577555185,
                0.999994577782971,
                0.9999724643023485
            ],
            [
                0.999891103039086,
                0.9999810748562764,
                0.9994472214036921,
                0.9999785550490354,
                0.9998766054409176,
                0.9999599363173941,
                0.9995694429192765,
                0.9999251537996634,
                0.9998415637644292,
                0.9740426429434861
            ],
            [
                0.9999251537640834,
                1.1478770856576534e-05,
                0.9999921107355337,
                0.9999957771665556,
                0.9999977396765105,
                0.999972464295784,
                0.9982992773893301,
                0.9998911031169002,
                0.9999756997534794,
                0.9999785550439266
            ],
            [
                0.9999967112493677,
                0.9999989322975118,
                0.999999057755743,
                0.9999970976883609,
                0.9999993524048931,
                0.9999982396567868,
                0.9999974387165681,
                0.9999957771650466,
                0.9924227573279605,
                0.9999990577555186
            ],
            [
                0.9999952149032237,
                0.9999957771675624,
                0.9999957771655488,
                0.9999962733611609,
                0.999985261012762,
                0.9999852610197902,
                0.999995777165046,
                0.9999938558268652,
                0.9999921107345958,
                0.9999970976873229
            ],
            [
                0.9999810748540182,
                0.9999986290429566,
                0.9999898700114374,
                0.9999869928653523,
                0.99993394786351,
                0.9999980052709919,
                0.9999485577987365,
                0.9999957771655492,
                0.999998239656577,
                0.999992110740237
            ],
            [
                0.9999921107355338,
                0.9999810748517903,
                0.9999938558261321,
                0.999995777165046,
                0.9999977396751644,
                0.9999646437367317,
                0.7772998611746912,
                0.9999982396572065,
                0.9991959142099075,
                0.999989870006606
            ],
            [
                0.9999485577679526,
                0.9999898700066084,
                0.9995694430194553,
                0.9999910603036963,
                0.9999724643154776,
                0.9990889490183215,
                0.9999785550541495,
                0.9999945777790918,
                0.9999869928668853,
                0.9999910603015666
            ],
            [
                0.9999962733598278,
                0.9999810748540305,
                0.9999832985761757,
                0.9999810748427478,
                0.9999151889499021,
                0.9999957771655488,
                0.9999810748517677,
                0.9999885212264065,
                0.000552778657183244,
                NaN
            ],
            [
                0.9999977396754327,
                0.9999962733607161,
                0.999997438717484,
                0.999999168471675,
                0.9999984465018751,
                0.9999974387187055,
                0.9999952149038052,
                0.9999990577557432,
                0.9999984465016899,
                0.999998005269803
            ],
            [
                0.9999989322968755,
                0.9999980052698033,
                0.9999982396569966,
                0.9999982396563672,
                0.9999986290429567,
                0.9999993524050474,
                0.9999982396561573,
                0.9999990577554062,
                0.9999995549150542,
                0.9999992661786696
            ],
            [
                0.9999986290432836,
                0.9999990577550691,
                0.9999982396559474,
                0.9999952149043646,
                0.9999974387165681,
                0.9999810748540532,
                0.9999987901347492,
                0.9999724642958144,
                0.9999970976887069,
                0.9999977396748939
            ],
            [
                0.9999869928715392,
                0.9999810748517617,
                0.9999898700126462,
                0.9999687980960991,
                0.9999885212318773,
                0.9999251537906448,
                0.9999869928684375,
                0.0008040859048569929,
                0.9999898700078138,
                0.9999687980923553
            ],
            [
                0.9999921107402364,
                0.9999852610197874,
                0.9999832985741823,
                0.9999930377437511,
                0.9999869928761964,
                0.9999646437450943,
                0.9999885212264021,
                0.9999485577863724,
                0.9999898700078147,
                0.9999485577741333
            ],
            [
                0.999999352404893,
                0.9999990577555186,
                0.99999893229713,
                0.9999991684717742,
                0.9999982396567868,
                0.9999485577926372,
                0.9999986290429567,
                0.9999991684720715,
                0.9999785550490384,
                0.9999967112521113
            ],
            [
                0.9999910603058294,
                0.9999930377437515,
                0.9999785550464939,
                0.9999945777829706,
                0.9998601778593273,
                0.9999756997679633,
                0.9999599363030465,
                0.9993736658418906,
                0.9998911030518745,
                0.9953904268954757
            ],
            [
                0.9999952149066464,
                0.9999980052702788,
                0.9999984465026158,
                0.9999994284996891,
                0.999999057755069,
                0.9999977396746245,
                0.9999982396569966,
                0.9999990577552939,
                0.999997097688015,
                0.9999977396754328
            ],
            [
                0.9999251537644728,
                0.9999339478396377,
                0.9999646437408649,
                0.00017952789835767118,
                0.999986992873089,
                0.9999599362982768,
                0.9999930377420916,
                0.8175744828610095,
                0.9999546021425534,
                0.9999869928668863
            ],
            [
                0.9998415638401131,
                0.9924227575695773,
                0.9995121429522913,
                0.999876605381635,
                0.9995121428981361,
                0.9999485578047914,
                0.9998911030908894,
                0.9998204720984661,
                0.9999962733616047,
                0.9999339478474747
            ],
            [
                0.9999993524050473,
                0.9999970976869772,
                0.9999989322968754,
                0.999999168471675,
                0.999999428499553,
                NaN,
                0.9999993524052019,
                NaN,
                0.999999266178932,
                0.9999910603036978
            ],
            [
                0.999997097686977,
                0.9999962733598274,
                0.9999982396567867,
                0.999996273359828,
                0.9999952149049349,
                0.999964643732444,
                0.9999980052693275,
                0.9999724643089107,
                0.999993855822469,
                0.9999967112501508
            ],
            [
                0.9999417087067041,
                0.9993736659877382,
                0.0004878572312911304,
                2.4300240674326342e-05,
                0.9995694429728105,
                0.9998415638405949,
                0.9997040429018574,
                0.9998766054709941,
                0.9996646498915447,
                2.144494072680393e-05
            ],
            [
                0.9953904279915541,
                0.00012339461627873614,
                0.9999339478317867,
                0.9998911030909162,
                0.9999599362935014,
                0.9997040429016766,
                0.9999810748472509,
                0.9999930377412608,
                0.999991060305828,
                0.0002305067904992872
            ],
            [
                0.9999987901338838,
                0.9999989322968754,
                0.9999957771660524,
                0.9999952149055056,
                0.9999994284996891,
                0.9999990577552937,
                0.999999266178932,
                0.9999974387184,
                0.9999982396567868,
                0.999998790134605
            ],
            [
                0.9999986290429567,
                0.9999987901344609,
                0.999998005270041,
                0.999991060304762,
                0.9999952149072173,
                0.9999982396561572,
                0.999997097687669,
                0.9999986290432835,
                0.9999962733593839,
                0.9999982396572065
            ],
            [
                0.9999967112509348,
                0.99998987001023,
                0.9999832985702019,
                0.9995121427752086,
                0.9999962733607166,
                0.9999952149055054,
                0.9999986290424664,
                0.9999977396762411,
                0.9999930377437513,
                0.9999756997592878
            ],
            [
                0.9998766053663058,
                0.9999151889893352,
                0.9997388097220108,
                0.9988304895796443,
                0.999948557774137,
                0.9999417087276151,
                0.06754669817865513,
                0.9999599363126097,
                0.999860177909703,
                0.9999599363078239
            ],
            [
                0.9999967112493665,
                0.9999986290421397,
                0.9999970976890532,
                0.01590639270314218,
                0.9999977396748938,
                0.9999980052705164,
                0.9999982396574164,
                0.9999977396746245,
                0.9999987901347492,
                0.9999991684717742
            ],
            [
                0.9999996533672549,
                0.9999992661789321,
                0.9999962733620507,
                0.9999994284997574,
                0.9999996940977731,
                0.99999976176309,
                0.9999945777810321,
                0.9999994956523514,
                0.9999991684717742,
                0.9999992661787571
            ],
            [
                0.9999785550439229,
                0.9999970976887073,
                0.9999980052707541,
                0.9999962733593832,
                0.9999938558232012,
                0.9999962733611628,
                0.9999970976866313,
                0.9999974387187053,
                0.9999957771660523,
                0.9999990577552939
            ],
            [
                0.9999251537995529,
                8.481107099668555e-05,
                2.753569436164291e-05,
                0.9999898700053994,
                0.00013982205318761564,
                2.753569109454917e-05,
                2.753570092478113e-05,
                8.481104101029498e-05,
                0.999985261014518,
                0.999959936307828
            ],
            [
                0.9999952149049355,
                0.9999869928699874,
                0.9999599363221815,
                0.9999910603036969,
                0.9999962733598274,
                0.9999687980811913,
                0.9999869928699877,
                0.9999485577864,
                0.9999810748472494,
                0.9999687980961081
            ],
            [
                0.9999970976887069,
                0.999997438717484,
                0.9999977396748944,
                0.9999962733602723,
                0.9999974387184001,
                0.999968798081212,
                0.9999646437493306,
                0.9999987901341723,
                0.9999970976869775,
                0.9999977396754328
            ],
            [
                0.9999980052702788,
                0.9999974387180949,
                0.99999844650169,
                0.9999982396569969,
                0.999998790134605,
                0.9999982396559474,
                0.9999980052702786,
                0.9999986290431202,
                0.9999989322973846,
                0.9999952149055054
            ],
            [
                0.9999957771660533,
                0.9999970976887075,
                0.999995214903795,
                0.9999984465026162,
                0.9999957771675624,
                0.9999982396567867,
                0.9999989322975118,
                0.9999989322972573,
                0.9999982396559474,
                0.9999910602994336
            ],
            [
                0.9999646437535082,
                0.999964643757729,
                0.9996646500107031,
                0.999903897585285,
                0.9998911031298644,
                0.9999599362887259,
                4.539785235268768e-05,
                0.9999646437450961,
                0.9999485577802313,
                0.9998601779595803
            ],
            [
                2.4300249417247375e-05,
                3.5356263314938686e-05,
                4.5397884779691074e-05,
                3.120190017457614e-05,
                0.9999982396567867,
                0.00033535017949390086,
                1.8925152750176348e-05,
                0.0002959570244846186,
                0.0005527785221511195,
                5.829129307666907e-05
            ],
            [
                0.9999646437366521,
                0.9999938558232014,
                0.9999957771675626,
                0.9999938558246669,
                0.9999967112497586,
                0.9999977396759717,
                0.9997694931754488,
                0.9999810748517677,
                0.9999962733616045,
                0.999997097687323
            ],
            [
                0.9998911030388833,
                0.9999810748472532,
                0.9999546021205821,
                0.9998766054107618,
                0.9999724643089107,
                0.9999921107402365,
                0.9999952149055057,
                0.9999938558239336,
                0.9999952149072169,
                0.9999339478396593
            ],
            [
                0.9999997300421581,
                0.9999987901347492,
                0.9999989322967482,
                0.9999991684718732,
                0.9999987901346049,
                0.999998790134605,
                0.9999986290421394,
                0.9999992661792819,
                0.9999993524053562,
                0.9999984465022455
            ],
            [
                0.9999986290423029,
                0.9999945777810305,
                0.999997097686631,
                0.9999986290421395,
                0.9999991684722697,
                0.9999989322967482,
                0.9999417087418437,
                0.9999938558275974,
                0.9999910603068958,
                0.9999967112493665
            ],
            [
                0.9999546021367934,
                0.9999962733589393,
                0.9999756997534794,
                0.9999945777829697,
                2.4300234934056724e-05,
                0.9999151889184176,
                0.9999885212332438,
                0.9999962733616046,
                0.9999921107392973,
                0.9998766053665034
            ],
            [
                0.9999967112513267,
                0.9999977396765105,
                0.9999945777810306,
                0.9999921107364742,
                0.9999952149037942,
                0.9999898700090211,
                0.9999898700078147,
                0.9999945777803848,
                0.999985261016272,
                0.9999724643089107
            ],
            [
                0.9999945777829696,
                0.9999974387171789,
                0.999992110734593,
                0.9999910603036986,
                0.999993855827596,
                0.9999957771655492,
                0.9999970976887073,
                0.9999980052695652,
                0.9999869928731019,
                0.9999885212291401
            ],
            [
                0.9999982396572065,
                0.999998239656367,
                0.9999991684718732,
                0.9999984465026158,
                0.9999982396559476,
                0.9999993524053562,
                0.0008040858903594321,
                0.99999862904312,
                0.999999352405279,
                0.9999986290421395
            ],
            [
                0.9999417087484261,
                0.9999756997592761,
                0.9999986290429566,
                0.9999957771670591,
                0.9989677691041762,
                0.9999756997679764,
                0.999995777167059,
                0.999986992873095,
                0.9999546021477583,
                0.9999962733589393
            ],
            [
                0.9999980052698031,
                0.9998601778594738,
                0.9999938558232014,
                0.9995694430194553,
                0.9999756997563796,
                0.9999599362935584,
                0.9999970976866314,
                0.9999994284997573,
                0.9999869928684474,
                0.9999977396754327
            ],
            [
                0.9999724642990586,
                0.9999546021259734,
                0.9999038975852738,
                0.9998911031040801,
                0.9998766053958474,
                1.0129992179053445e-05,
                0.99998107485853,
                0.9999724643187624,
                0.9999756997563986,
                0.9999885212277707
            ],
            [
                0.9999885212346163,
                0.9999339478553573,
                0.9999852610180308,
                0.9999251537996634,
                0.999981074849511,
                0.9999832985741745,
                0.9999852610162754,
                0.9990889488841714,
                0.99994170874144,
                0.9998911031038012
            ],
            [
                0.9999910603036972,
                0.9999898700114368,
                0.9999724643056425,
                0.999986992874644,
                0.9999151889191518,
                0.9999785550464871,
                0.9999687980887209,
                0.9997388097931512,
                0.9999885212332457,
                0.9999852610110037
            ],
            [
                0.9999957771650456,
                0.9999974387180947,
                0.9999977396746244,
                0.9999977396757023,
                0.9999974387184,
                0.9999967112501507,
                0.9999962733607172,
                0.9999970976866339,
                0.9999967112501508,
                0.9999945777790924
            ],
            [
                0.9999910603058286,
                1.0129987353537646e-05,
                0.9999599362982768,
                0.9999885212264026,
                0.9998601779768075,
                3.120192250564146e-05,
                0.9999546021422047,
                0.9999151889790956,
                0.9998204720558904,
                0.9999852610197877
            ],
            [
                0.999997438717484,
                0.9999945777803844,
                0.9999974387187055,
                0.9999991684720715,
                0.9999921107402426,
                0.9999952149055061,
                0.9999984465026159,
                0.9999869928761894,
                0.9999962733616049,
                0.9999967112493665
            ],
            [
                0.9998911030781548,
                0.9997965730267956,
                0.9770226284591782,
                0.9996646497329202,
                0.9997040429359567,
                0.9996646498966767,
                0.9997040427693007,
                0.9993736659047402,
                NaN,
                0.9993736659839128
            ],
            [
                0.9875683512735278,
                0.9999885212291431,
                0.9998911030779107,
                1.3007128462785148e-05,
                0.9997388096597012,
                0.9999952149049353,
                0.9999957771645421,
                0.9902915235901574,
                0.9999869928653345,
                0.9999869928715366
            ],
            [
                0.9999885212264024,
                0.999925153799579,
                0.9998911030648926,
                0.9998415637834701,
                0.9998911030779107,
                0.9999945777803841,
                0.9998766054106738,
                0.9999957771675624,
                0.9999952149043654,
                0.9999151889688097
            ],
            [
                0.9999921107392962,
                0.999964643757729,
                0.9999810748517658,
                0.9999930377404364,
                0.9999756997650734,
                0.9999977396754328,
                0.9999869928730926,
                0.9999957771660531,
                0.9999810748427375,
                0.9999982396572065
            ],
            [
                0.9998911030780216,
                0.9999724643187635,
                0.9999151889388487,
                0.9992903296572039,
                0.999841563822981,
                0.999820472057105,
                0.07585818054355695,
                0.9999832985741761,
                0.9706877660687703,
                0.9999339478790461
            ],
            [
                0.9999993524050474,
                0.9999991684721706,
                0.9999980052695655,
                0.9999994284994168,
                0.9999546021314502,
                0.9999994284996891,
                0.999997438716568,
                0.9999984465016899,
                0.9999977396746245,
                0.9999991684715759
            ],
            [
                0.9999970976876693,
                0.999998239656367,
                0.9999970976890528,
                0.9999921107392968,
                0.9999785550490427,
                0.9999921107364752,
                0.9999885212291464,
                0.9999962733598278,
                0.999997097686631,
                0.9999957771660528
            ]
        ]
    },
    {
        "q_id": "10573_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            8,
            9,
            10,
            11,
            12,
            13,
            15,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            31,
            32,
            33,
            34,
            35,
            36,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            56,
            57,
            58,
            59,
            61,
            62,
            65,
            66,
            67,
            68,
            69,
            70,
            72,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            97,
            98,
            99,
            100,
            101,
            103,
            104,
            105,
            107,
            109,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                NaN,
                0.651354857898194,
                0.9975273768123541,
                0.005220126467357275,
                0.9840936061889035,
                0.9840936088421623,
                NaN,
                NaN,
                0.9770226300063438,
                4.0063706483364614e-05
            ],
            [
                NaN,
                NaN,
                0.9975273769737266,
                NaN,
                6.605216809601697e-05,
                NaN,
                0.9984988177291286,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                5.8291258244477345e-05,
                1.892514144530343e-05,
                NaN,
                0.9770226313862482,
                NaN,
                0.9947798750028605,
                NaN,
                4.006369685049073e-05,
                0.679178699175393
            ],
            [
                NaN,
                1.0129988561372045e-05,
                2.144494073054863e-05,
                4.006369686681418e-05,
                NaN,
                9.610242539133024e-05,
                1.1478769491598686e-05,
                0.0011695101803339434,
                NaN,
                4.539787931821248e-05
            ],
            [
                0.06754668738548217,
                3.535626328175451e-05,
                0.9982992778020303,
                0.00013982210557937858,
                1.6701419835959236e-05,
                7.889264465239894e-06,
                2.4300252294986265e-05,
                NaN,
                0.00010889689502939512,
                4.539787939285985e-05
            ],
            [
                2.9023123307122503e-06,
                4.5397868457023003e-05,
                NaN,
                3.726640614694928e-06,
                1.012999097799944e-05,
                NaN,
                4.785093353013212e-06,
                7.8892625830162e-06,
                1.99472900777306e-06,
                5.422220261198862e-06
            ],
            [
                1.892514823426434e-05,
                NaN,
                5.144220136091472e-05,
                NaN,
                NaN,
                NaN,
                1.4738976697631541e-05,
                3.535624648041073e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                2.430023781329673e-05,
                NaN,
                5.829127238482131e-05,
                1.0129987348120356e-05,
                1.0129988561906404e-05,
                NaN,
                0.6224593382055109,
                8.93969949678224e-06,
                NaN
            ],
            [
                4.006368736453013e-05,
                0.0004305571375764821,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                6.605212076750022e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                2.5612834317908303e-06,
                NaN,
                NaN,
                2.4300252304268445e-05,
                3.7266379504926854e-06,
                NaN,
                NaN,
                NaN,
                0.00010889693477781366
            ],
            [
                NaN,
                NaN,
                8.481107137554162e-05,
                1.0129987351621326e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                7.484622701235968e-05,
                2.753568449565208e-05
            ],
            [
                0.7310585903489891,
                1.1478765374700869e-05,
                0.8933094110250331,
                0.995929861340308,
                NaN,
                0.9525741241296944,
                0.995929862574793,
                0.9999038975739655,
                5.1442207429361644e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.00023050682223050458,
                0.029312233242257107,
                0.7549149813536518,
                0.00020342697204119793,
                0.0003353501047185469,
                0.06754669583231304
            ],
            [
                NaN,
                NaN,
                6.605214454228335e-05,
                NaN,
                NaN,
                2.1444940737257882e-05,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                2.4300243607668818e-05,
                4.006369687905675e-05,
                2.1444956074147067e-05,
                4.7850950646797465e-06,
                0.9149009642742806,
                0.9978172831606427,
                2.561283431627768e-06,
                NaN,
                3.1201907631845964e-05,
                6.605212089917383e-05
            ],
            [
                0.9706877723755188,
                0.20181323186177208,
                0.9902915242885649,
                3.535625910878189e-05,
                0.7549149978955811,
                NaN,
                0.9971990736188128,
                0.9859363733183345,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                1.8925154993072253e-05,
                NaN,
                NaN,
                NaN,
                0.5,
                NaN,
                NaN
            ],
            [
                NaN,
                0.9995694430198562,
                0.9971990727415379,
                0.9997040429047076,
                9.610246006457393e-05,
                0.9984988174619718,
                0.995929863175047,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                2.561282209491443e-06,
                6.144176064185479e-06,
                NaN,
                NaN,
                NaN,
                4.006370162568153e-05,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.651354857898194,
                NaN,
                7.889263524615903e-06,
                8.481105126717208e-05,
                NaN,
                NaN,
                1.8925148227861472e-05,
                0.00010889686869841292
            ],
            [
                0.9669140230414182,
                0.00013982203921743158,
                0.6513548714339145,
                NaN,
                0.06754669442450784,
                NaN,
                0.6224593312018546,
                NaN,
                NaN,
                1.6701425805047466e-05
            ],
            [
                3.2887490631872694e-06,
                0.8354835289107309,
                5.829125857569945e-05,
                4.78509563509613e-06,
                0.9902915243422886,
                7.88926634383339e-06,
                0.000709670260196973,
                0.946596667563714,
                3.5356246473207964e-05,
                2.9023133683457202e-06
            ],
            [
                NaN,
                1.892515725376564e-05,
                NaN,
                3.1201915049389656e-05,
                4.539788478662733e-05,
                4.539786314550164e-05,
                NaN,
                8.939696302652706e-06,
                2.753569108924008e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                2.1444953502863275e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                2.430023492353693e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                8.939698425502796e-06,
                NaN
            ],
            [
                0.00026119027685684985,
                NaN,
                0.00013982213913469265,
                9.61024376337973e-05,
                0.00012339461653727466,
                NaN,
                0.00020342699656189845,
                2.753568112227758e-05,
                1.8925143719695944e-05,
                NaN
            ],
            [
                1.8925157260443894e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                3.5356259084858424e-05,
                NaN,
                NaN,
                NaN,
                2.1444958631232504e-05
            ],
            [
                4.785096202074502e-06,
                4.7850933535659155e-06,
                NaN,
                2.26032429704016e-06,
                2.1444950958338794e-05,
                3.7266383948154845e-06,
                7.889265405677441e-06,
                7.889259762106714e-06,
                1.4738980212644815e-05,
                1.3007130011300897e-05
            ],
            [
                0.999620015427321,
                0.9046505370289059,
                NaN,
                0.999738809756308,
                0.00017952800758656067,
                0.9989677689690073,
                0.9998766053977021,
                0.9997388095733084,
                0.9998415637660636,
                0.9998415637465294
            ],
            [
                NaN,
                NaN,
                1.1478764017720528e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478772229050293e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                0.7310585786300049,
                0.5926665999540697,
                NaN,
                0.001926734623926485,
                0.0003799845253534204,
                0.0009110510718006624,
                NaN,
                0.7549149923816048
            ],
            [
                1.8925150457297062e-05,
                1.147876401423365e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.00015843625377712472,
                1.1478769491306371e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                2.430024940319151e-05,
                NaN,
                2.144495351862222e-05,
                2.75357009146638e-05,
                0.00010889686984082694,
                NaN,
                6.605212096501064e-05
            ],
            [
                7.484622714958306e-05,
                7.484626272747509e-05,
                NaN,
                4.7850967744320136e-06,
                NaN,
                6.605216025614478e-05,
                1.6701425820540864e-05,
                2.1444945841205498e-05,
                4.006370160119636e-05,
                NaN
            ],
            [
                0.00010889690827728185,
                4.22283193393364e-06,
                NaN,
                NaN,
                2.7535694297633312e-05,
                7.88926070328992e-06,
                6.144173868882483e-06,
                7.889264463216492e-06,
                1.4738978451920916e-05,
                4.0063687374440786e-05
            ],
            [
                7.889266337834933e-06,
                NaN,
                4.785096774693134e-06,
                NaN,
                NaN,
                1.06770312455264e-06,
                1.3007134661628471e-05,
                NaN,
                1.6701419833468143e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                0.00012339461824470617,
                0.0001233946185571069,
                NaN,
                0.00023050670403828146,
                0.00013982202309079152,
                0.00010889696076497818,
                2.7535691068003722e-05,
                NaN
            ],
            [
                NaN,
                1.4738976697229395e-05,
                6.1441724013465395e-06,
                1.4738981951170529e-05,
                1.8925148238808306e-05,
                NaN,
                NaN,
                NaN,
                1.8925145965998754e-05,
                NaN
            ],
            [
                2.1444956063303036e-05,
                0.962673113860638,
                0.9953904269510275,
                0.00037998442845808486,
                0.7772998560157665,
                1.1478773591084453e-05,
                0.9914225161148257,
                NaN,
                0.9940889316143973,
                NaN
            ],
            [
                NaN,
                3.726639280905674e-06,
                NaN,
                8.481107109664433e-05,
                0.0013250225332117034,
                NaN,
                4.5397890136135515e-05,
                0.00012339461814057261,
                4.539788480710582e-05,
                5.144221961079603e-05
            ],
            [
                0.904650538956921,
                4.0063692115526124e-05,
                NaN,
                0.009708475093613162,
                NaN,
                0.6513548714339145,
                0.9975273771058107,
                0.9046505447409666,
                0.0008040861020238443,
                0.00522012637305053
            ],
            [
                NaN,
                NaN,
                NaN,
                2.5612828206131103e-06,
                NaN,
                NaN,
                2.430024358875087e-05,
                4.5397890187331725e-05,
                3.120190017457614e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                4.006369693006752e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9740426400236378,
                5.8291244607543396e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.00013982202343663843,
                0.0009110511887845698,
                3.120191132245625e-05,
                0.6224593312018546,
                0.0001398220402386973,
                NaN,
                NaN
            ],
            [
                6.962254588433232e-06,
                1.1478768123551712e-05,
                NaN,
                1.30071346612026e-05,
                1.553497383879461e-06,
                7.88926258381982e-06,
                NaN,
                1.4738976677229401e-05,
                7.889261641904523e-06,
                4.222832435803769e-06
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.9324533126145178,
                0.00013982208991860726,
                NaN,
                NaN,
                6.962257907702715e-06,
                0.0
            ],
            [
                8.939693103418341e-06,
                NaN,
                NaN,
                0.8175744828610095,
                2.4300249402042293e-05,
                NaN,
                1.473898020682712e-05,
                0.00013982208934490794,
                NaN,
                0.2018132270610754
            ],
            [
                0.6224593312018546,
                0.6224593382055109,
                0.9525741236248059,
                NaN,
                NaN,
                9.610244876878039e-05,
                0.9964063976711892,
                1.0129987346793673e-05,
                NaN,
                0.9840936115537341
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                0.0002611904317910024,
                NaN,
                NaN,
                8.481106115136466e-05,
                0.00026119030624470604,
                NaN
            ],
            [
                NaN,
                NaN,
                4.539787393501518e-05,
                NaN,
                NaN,
                NaN,
                3.120191878631223e-05,
                NaN,
                NaN,
                7.484623606311329e-05
            ],
            [
                0.7772998508568416,
                1.1478765373531616e-05,
                NaN,
                0.8519527982093666,
                0.000379984480249827,
                0.00017952794329201166,
                0.5312093733737563,
                NaN,
                3.5356267531385634e-05,
                2.753568779580163e-05
            ],
            [
                7.889261635360753e-06,
                2.260325374873376e-06,
                9.610246010932082e-05,
                NaN,
                0.8519527982093666,
                NaN,
                8.93969523387785e-06,
                NaN,
                1.1478768112965796e-05,
                NaN
            ],
            [
                NaN,
                2.430025231213619e-05,
                NaN,
                5.1442195197777694e-05,
                2.144495095279976e-05,
                1.6701425822059825e-05,
                NaN,
                8.93969629982328e-06,
                2.7535697650273915e-05,
                NaN
            ],
            [
                3.726640172290235e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                0.6513548714339145,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                2.430023200407455e-05,
                NaN,
                0.00012339458893469933,
                NaN,
                7.484622697914291e-05,
                2.7535697650273915e-05,
                4.785092782188013e-06,
                0.0005527787395403144,
                2.1444945841205498e-05,
                0.8933094074745443
            ],
            [
                7.889260703117714e-06,
                NaN,
                5.829129304401336e-05,
                NaN,
                NaN,
                NaN,
                0.0,
                0.00023050671198617334,
                NaN,
                2.7535704217219437e-05
            ],
            [
                NaN,
                0.0,
                NaN,
                5.144219514537961e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                1.0129995806022926e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                1.6701429800582296e-05,
                NaN
            ],
            [
                1.147876400863794e-05,
                NaN,
                9.610243712899653e-05,
                7.484620912921512e-05,
                8.481102074088805e-05,
                0.00010889689561723936,
                1.1478768122695653e-05,
                2.9023130228840374e-06,
                0.00020342704299585598,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                0.9324533036984185,
                NaN,
                0.32082129433083023,
                0.00013982210689156329,
                NaN,
                0.0002611902426508182,
                NaN
            ],
            [
                NaN,
                1.3007123809289414e-05,
                NaN,
                NaN,
                NaN,
                3.1201926212712214e-05,
                NaN,
                9.61024257045584e-05,
                NaN,
                2.753569431866933e-05
            ],
            [
                5.1442195027858216e-05,
                NaN,
                1.1478772226690907e-05,
                0.00033535014663333096,
                1.6701417851711638e-05,
                NaN,
                NaN,
                2.4300232032009452e-05,
                3.1201918750443584e-05,
                1.300712844986705e-05
            ],
            [
                NaN,
                2.1444945844872185e-05,
                NaN,
                1.4738985482753428e-05,
                3.726638389846704e-06,
                3.120191129135497e-05,
                NaN,
                3.1201922511884416e-05,
                9.610241433885192e-05,
                2.902311984250272e-06
            ],
            [
                5.829127932267533e-05,
                6.1441724013465395e-06,
                1.892515274339482e-05,
                4.785093353274332e-06,
                NaN,
                5.422218321135672e-06,
                4.0063692152253866e-05,
                0.0002959569878020427,
                4.785096772273422e-06,
                3.5356267539488744e-05
            ],
            [
                NaN,
                NaN,
                NaN,
                1.4738987232298539e-05,
                NaN,
                NaN,
                6.605212835987894e-05,
                6.962259563139869e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                2.753568116454994e-05,
                0.0
            ],
            [
                7.484624492545807e-05,
                2.902310946110488e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                1.1478764010141264e-05,
                3.1201907609144296e-05,
                3.1201907631845964e-05,
                8.939698428559877e-06
            ],
            [
                NaN,
                NaN,
                0.2942149721629888,
                NaN,
                8.481103114029641e-05,
                3.288748671031464e-06,
                0.0001233945595223613,
                0.0007096703307839479,
                1.370957860141542e-06,
                NaN
            ],
            [
                6.9622570780973205e-06,
                1.0129990975567187e-05,
                3.7266392832104296e-06,
                3.726638395415398e-06,
                2.7535681225754707e-05,
                4.006370647374544e-05,
                2.1444953516281788e-05,
                4.539787395384217e-05,
                1.6701415860173268e-05,
                0.00037998451048471075
            ],
            [
                NaN,
                NaN,
                2.561283125666175e-06,
                3.120192623257619e-05,
                NaN,
                NaN,
                NaN,
                0.0,
                9.610238008932154e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                7.484622703686386e-05,
                NaN,
                NaN,
                NaN,
                9.610241454300953e-05,
                NaN,
                NaN
            ],
            [
                0.8354835411997897,
                NaN,
                NaN,
                NaN,
                9.610240226418859e-05,
                0.9626731083722525,
                0.5312093733737562,
                0.9980732649055003,
                0.9890130555680529,
                0.8933094131553264
            ],
            [
                0.9465966703884944,
                0.00012339456000173458,
                5.829125847900465e-05,
                1.3007131559390956e-05,
                1.4738976689561836e-05,
                1.8925143720384422e-05,
                0.0001398221236224284,
                1.3007125357378736e-05,
                1.8925152744771773e-05,
                2.1444956056827822e-05
            ],
            [
                NaN,
                0.679178699175393,
                8.481108155405963e-05,
                4.785095634565186e-06,
                9.610241473877709e-05,
                1.9947297211279344e-06,
                1.01299933920846e-05,
                3.120191134788212e-05,
                NaN,
                1.012999459815081e-05
            ],
            [
                NaN,
                1.473898194956195e-05,
                7.484622689092787e-05,
                NaN,
                0.0011695104359945628,
                NaN,
                1.1478764010141264e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                1.670142979608617e-05,
                1.8925154985774363e-05,
                0.37754066879814546,
                0.9046505415276079,
                NaN,
                0.22270014914315836,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                4.785096205778054e-06,
                NaN,
                NaN,
                NaN,
                0.9324533097989077,
                NaN,
                NaN,
                0.9669140233989487
            ],
            [
                NaN,
                NaN,
                NaN,
                6.962257907158154e-06,
                NaN,
                NaN,
                1.4738983725406915e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                5.422219613353806e-06,
                NaN,
                NaN,
                0.0002034269961860229,
                NaN,
                NaN,
                1.6701417840046025e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                7.889263525103816e-06,
                4.006371123115648e-05,
                1.4738983724575818e-05,
                7.889259759222289e-06,
                7.889266346746518e-06,
                2.144494073796001e-05,
                2.7535684483431157e-05,
                1.6701415855859424e-05,
                0.00080408610029349,
                6.144176065012512e-06
            ],
            [
                1.892515497730606e-05,
                NaN,
                0.977022631929847,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.651354857898194,
                0.7772998611746911
            ],
            [
                4.7850944943330625e-06,
                3.288748672168078e-06,
                NaN,
                5.422218960843676e-06,
                NaN,
                6.962259565976648e-06,
                1.892514372479069e-05,
                NaN,
                3.7266406135967795e-06,
                NaN
            ],
            [
                5.422220905690605e-06,
                NaN,
                NaN,
                NaN,
                1.670142581574095e-05,
                7.484624474085991e-05,
                NaN,
                5.144221358089769e-05,
                3.120190019784534e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                0.0,
                NaN,
                NaN
            ],
            [
                3.535625487947387e-05,
                NaN,
                NaN,
                5.422217676397663e-06,
                8.481102086552792e-05,
                0.0001233945592979356,
                6.605217587581997e-05,
                1.892514145232592e-05,
                5.829129322340776e-05,
                9.610242619257904e-05
            ],
            [
                NaN,
                2.7535691088138193e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                4.22283193320392e-06,
                NaN,
                NaN
            ],
            [
                2.1444958592303205e-05,
                NaN,
                NaN,
                0.9465966688819448,
                0.9859363717428788,
                0.00043055703231247304,
                NaN,
                1.1478765378459183e-05,
                5.8291293107628393e-05,
                0.9241418137109955
            ],
            [
                0.46879062662624377,
                9.610241451644106e-05,
                1.670142781025767e-05,
                0.9525741283370986,
                9.610238045498727e-05,
                0.6791787056691698,
                0.00017952792078957793,
                3.12019225102953e-05,
                0.0009110513094242399,
                0.9947798748239195
            ],
            [
                1.1478765387416494e-05,
                NaN,
                1.9947290080125335e-06,
                1.1478765382092217e-05,
                1.0129994601301684e-05,
                0.0002611902761956801,
                8.481102093340112e-05,
                2.4300237829827827e-05,
                6.605214460043122e-05,
                0.00020342692222437763
            ],
            [
                NaN,
                NaN,
                2.1444956059090247e-05,
                NaN,
                0.0001233945295355006,
                4.7850933519861414e-06,
                2.144495348827454e-05,
                3.120192621634449e-05,
                3.7266392816106584e-06,
                2.4300232038993178e-05
            ],
            [
                4.006369693691754e-05,
                NaN,
                2.4300252291096595e-05,
                2.430023491549239e-05,
                NaN,
                NaN,
                NaN,
                1.6701427795007302e-05,
                0.00015843628993627095,
                1.6701425821573757e-05
            ],
            [
                NaN,
                NaN,
                0.1066905996264336,
                NaN,
                2.4300240718880753e-05,
                NaN,
                1.4738976698006875e-05,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                7.889265401788488e-06,
                NaN,
                NaN,
                6.1441745989959955e-06,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                3.535624224094318e-05,
                2.9023109465909e-06,
                2.7535684432544047e-05,
                4.5397852355660356e-05,
                0.00012339460326383565,
                NaN,
                0.00010889696047343262,
                NaN,
                3.1201922493496056e-05
            ],
            [
                2.4300249120217854e-05,
                2.260323758557508e-06,
                3.1201900168900725e-05,
                6.962256249112569e-06,
                NaN,
                8.939696297286554e-06,
                NaN,
                4.7850933529174686e-06,
                2.430024358875087e-05,
                3.2887478876292838e-06
            ],
            [
                2.144494320314245e-05,
                0.9982992773851793,
                NaN,
                NaN,
                0.43782349911420193,
                0.9324533046369553,
                NaN,
                1.4738988981093183e-05,
                0.9968273167650381,
                0.9940889318497178
            ],
            [
                0.992422760178338,
                5.422217028266893e-06,
                0.7772998611746912,
                0.00043055717586683545,
                0.6224593312018546,
                0.9840936065096271,
                NaN,
                0.6513548646660543,
                5.422218969029887e-06,
                0.2018132150593341
            ],
            [
                3.120191134947124e-05,
                3.120192623836512e-05,
                NaN,
                NaN,
                4.006370161547937e-05,
                1.1478768116974664e-05,
                1.6701417847458553e-05,
                NaN,
                NaN,
                3.535625901900459e-05
            ],
            [
                NaN,
                NaN,
                0.9940889324900084,
                NaN,
                NaN,
                NaN,
                0.7549149978955811,
                0.9980732654929333,
                0.9988304899699346,
                0.9046505428129514
            ],
            [
                7.484626257228192e-05,
                NaN,
                6.144172402285332e-06,
                7.889259763326495e-06,
                3.7266392839832006e-06,
                1.1478773595657069e-05,
                9.610242598282805e-05,
                1.8925143707303306e-05,
                5.829128628512799e-05,
                6.605212079008656e-05
            ],
            [
                0.0001584361963457398,
                NaN,
                0.0002959570157617428,
                0.0001795280287046412,
                1.3007134638394811e-05,
                0.9975273764344786,
                0.014063624073124418,
                2.1444943285915917e-05,
                NaN,
                9.610237984740885e-05
            ],
            [
                NaN,
                5.422220260794484e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                0.8933094025038598,
                0.9740426422841656,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN,
                NaN
            ],
            [
                0.9465966651155708,
                0.9579122729855218,
                3.535625062289875e-05,
                0.0002959570573783877,
                0.18242552602881168,
                1.7603432123050246e-06,
                NaN,
                0.9953904286517651,
                5.82912652667256e-05,
                4.539789014439297e-05
            ],
            [
                5.1442225844299154e-05,
                NaN,
                1.3007134660776729e-05,
                NaN,
                NaN,
                5.829125151104201e-05,
                NaN,
                7.889266344981421e-06,
                NaN,
                7.88926634455091e-06
            ],
            [
                1.3007131557025005e-05,
                1.6701417857058377e-05,
                2.902312329566651e-06,
                NaN,
                4.006367777450986e-05,
                1.4738985479697128e-05,
                8.939695234170549e-06,
                6.605216024316963e-05,
                NaN,
                4.5397852330227426e-05
            ],
            [
                1.473898196677375e-05,
                6.605214452978877e-05,
                0.00010889689596424175,
                4.53978848104088e-05,
                8.481104096833701e-05,
                6.605213655680403e-05,
                1.3007131557971383e-05,
                8.939698431682001e-06,
                NaN,
                5.8291272369553704e-05
            ],
            [
                NaN,
                6.962259565748692e-06,
                1.0129993391236997e-05,
                4.222833946199938e-06,
                NaN,
                NaN,
                2.9023116385379885e-06,
                0.9706877702556036,
                NaN,
                6.144175332596544e-06
            ],
            [
                3.5356238040705445e-05,
                1.4738983721733992e-05,
                1.892515497730606e-05,
                2.430024359741423e-05,
                1.3007128452848148e-05,
                NaN,
                3.120192250723057e-05,
                7.889265405505236e-06,
                1.670141984385783e-05,
                0.00048785715769356417
            ]
        ]
    },
    {
        "q_id": "10710_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            41,
            42,
            43,
            44,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            95,
            96,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127,
            40,
            45,
            55,
            77,
            93,
            94,
            97,
            98
        ],
        "rewards": [
            [
                0.00010889688182587557,
                9.610246006457393e-05,
                3.120192622145237e-05,
                4.0063701567383505e-05,
                5.82912929392606e-05,
                0.0001398221399789667,
                9.610242624851265e-05,
                0.00026119027216026493,
                0.0001398220226940847,
                9.61023918311773e-05
            ],
            [
                9.610239159625626e-05,
                7.484625284030881e-05,
                5.829127194715001e-05,
                0.0001795280487883691,
                3.120191507776674e-05,
                0.0009110512516210407,
                1.670142980222277e-05,
                8.481105098642375e-05,
                0.00010889689588977092,
                0.9975273774233869
            ],
            [
                3.5356263271207615e-05,
                NaN,
                1.147876810891517e-05,
                0.9999810748472603,
                0.9993736659517044,
                0.0006263340115329943,
                0.9998601779456121,
                0.5312093733737563,
                NaN,
                5.82912931195032e-05
            ],
            [
                1.76034321308312e-06,
                1.300712532392418e-05,
                1.4738980212296288e-05,
                5.1442207399419876e-05,
                2.260324297702111e-06,
                9.610239089708655e-05,
                1.8925155001402863e-05,
                0.00015843625195602803,
                3.12019149849169e-05,
                1.6701421835335913e-05
            ],
            [
                0.0001088969347619688,
                7.484623566560108e-05,
                8.481103094408114e-05,
                0.00043055697905420497,
                8.481103789799975e-05,
                0.00012339460245410747,
                0.00029595719934690374,
                6.605212097077738e-05,
                4.539785221495347e-05,
                0.00012339460390659108
            ],
            [
                1.1478773582649123e-05,
                1.0129987328220111e-05,
                5.1442200617984756e-05,
                7.889263522032836e-06,
                NaN,
                6.144172402765906e-06,
                5.829128626561938e-05,
                1.3007131527545233e-05,
                3.120192244150922e-05,
                1.4738981968060613e-05
            ],
            [
                1.3007131552624333e-05,
                8.939696301839653e-06,
                1.553497568892479e-06,
                1.892515272983176e-05,
                1.1478769467545481e-05,
                2.75357009146638e-05,
                7.889264446857064e-06,
                4.7850956323804825e-06,
                NaN,
                3.726640614925404e-06
            ],
            [
                7.889262582800945e-06,
                0.00033535006207201576,
                4.006369664236681e-05,
                7.484623571569849e-05,
                9.610241454300953e-05,
                4.0063691824619056e-05,
                0.00023050673440794917,
                0.0005527786594664739,
                4.222834954211514e-06,
                0.0001584361949349667
            ],
            [
                0.00012339463062044348,
                2.144495854206178e-05,
                3.1201918772464205e-05,
                0.9999251537908882,
                4.006367772116721e-05,
                0.9995694428789196,
                0.9999898700126498,
                5.829127190473999e-05,
                4.5397879246537806e-05,
                4.539788464294767e-05
            ],
            [
                7.48462238948842e-05,
                0.9525741283370988,
                7.484622606649854e-05,
                5.144223775476476e-05,
                1.0129988556507541e-05,
                0.0015011821035275199,
                0.9984988180388631,
                1.670142975094265e-05,
                0.00012339463055939968,
                0.9997388096631895
            ],
            [
                4.006368226899355e-05,
                2.7535684477821552e-05,
                6.962255412301455e-06,
                3.5356250136712346e-05,
                7.484622682449432e-05,
                9.61024488107306e-05,
                6.605214402712211e-05,
                1.994730672496148e-06,
                0.00020342689593085643,
                3.1201914979468495e-05
            ],
            [
                4.006368245408968e-05,
                6.605217571242921e-05,
                1.0129992179495674e-05,
                8.481101936121109e-05,
                7.484620903991103e-05,
                5.1442238074767575e-05,
                6.144173126676499e-06,
                8.481103110512576e-05,
                8.481107121387991e-05,
                5.144221341659224e-05
            ],
            [
                0.9999756997651623,
                0.9984988176514769,
                0.9999599362983279,
                0.9999546021314838,
                0.0001584362336943486,
                0.9998911030651303,
                5.1442207012048284e-05,
                3.535624642960554e-05,
                0.0019267345809435871,
                0.00023050662683978457
            ],
            [
                1.9947292457750883e-06,
                7.889263524960312e-06,
                5.144220130589672e-05,
                2.144494325510016e-05,
                5.8291279181025874e-05,
                1.473898722564974e-05,
                1.3007131553239479e-05,
                4.539786319306454e-05,
                2.7535694283609302e-05,
                1.3007125359413455e-05
            ],
            [
                1.147876534643001e-05,
                6.605216606468552e-05,
                1.892514363404907e-05,
                NaN,
                2.144494314900034e-05,
                4.539789014868685e-05,
                8.48110304072658e-05,
                NaN,
                NaN,
                8.939698416656774e-06
            ],
            [
                4.539788991153279e-05,
                4.0063711244273545e-05,
                8.93969310418261e-06,
                6.9622562453259804e-06,
                4.222834945608503e-06,
                4.222834950171171e-06,
                1.0129995805027913e-05,
                3.7266379501469723e-06,
                1.67014218283487e-05,
                3.7266383936427712e-06
            ],
            [
                8.481104971904564e-05,
                3.120190385315366e-05,
                5.8291244268687574e-05,
                3.288749065077638e-06,
                4.006368725318095e-05,
                3.1201911339482505e-05,
                3.120191877609648e-05,
                7.88926257376021e-06,
                1.670141579996171e-05,
                5.144223751672759e-05
            ],
            [
                0.9998766054402102,
                5.82912792416722e-05,
                1.670141763705225e-05,
                0.9999038975752212,
                0.9999599362888041,
                0.00012339458726856256,
                0.9999251537374092,
                0.9999646437451394,
                0.002472623362800924,
                0.9999485578048216
            ],
            [
                9.61024605302213e-05,
                2.4300243585745217e-05,
                8.939695220381164e-06,
                5.1442213058039554e-05,
                8.481103070097168e-05,
                NaN,
                7.484624490966648e-05,
                0.00010889689504840893,
                6.144173135628569e-06,
                0.00010889693494260025
            ],
            [
                4.539786316895279e-05,
                1.7603438426491283e-06,
                9.610244831431979e-05,
                1.4738983668221911e-05,
                7.484619998317078e-05,
                4.0063711093573116e-05,
                2.753569104786925e-05,
                8.939697344401794e-06,
                0.00010889694720969464,
                6.605212846944677e-05
            ],
            [
                1.0129995795409453e-05,
                0.9999546021260356,
                5.144221964448053e-05,
                1.4738980210687712e-05,
                2.753568757652624e-05,
                5.144221351764571e-05,
                3.5356238044435446e-05,
                5.829125152122041e-05,
                1.670142980112912e-05,
                0.0001398220901342531
            ],
            [
                4.006369209133245e-05,
                0.9999251537998175,
                0.9999546021152028,
                0.9999417087206125,
                1.1478768117893363e-05,
                1.8925143680590296e-05,
                0.9999687980849346,
                0.0005527787547832878,
                4.0063696755173474e-05,
                0.9999724643187624
            ],
            [
                8.939697347523919e-06,
                1.3007128388210337e-05,
                4.7850939109217526e-06,
                6.144176056608067e-06,
                1.4738976679695888e-05,
                4.006369681871831e-05,
                2.7535697476676664e-05,
                1.7603425811382225e-06,
                5.8291265048738174e-05,
                2.1444957455630052e-05
            ],
            [
                0.9998911030911634,
                0.999569442966911,
                0.00015843619391146463,
                0.9998204719927661,
                0.9999599363173941,
                8.481107097200438e-05,
                0.999876605396149,
                6.605217581334702e-05,
                0.9996200155195953,
                0.9998415638029534
            ],
            [
                4.539786314219866e-05,
                NaN,
                7.484624365831967e-05,
                2.430024941371131e-05,
                2.4300231704393195e-05,
                2.7535684505068197e-05,
                3.12019185772298e-05,
                8.48110509642107e-05,
                2.1444945767325685e-05,
                1.8925157198067588e-05
            ],
            [
                0.9999785550516065,
                0.9999546021477094,
                0.9999485577802993,
                0.9997694932591733,
                0.9997965729302667,
                0.9997965729309534,
                0.9998911031187557,
                0.9999151889689127,
                0.00012339463301012972,
                0.9989677689205096
            ],
            [
                0.9997388097232875,
                0.9998766054704861,
                0.9998911030523545,
                0.0007096705554239462,
                6.605214436255359e-05,
                0.00013982202224041492,
                4.0063682241593486e-05,
                0.0009110513314117089,
                0.999933947863436,
                0.00033535015909263814
            ],
            [
                5.144220739530288e-05,
                2.753568450356562e-05,
                6.605216018165782e-05,
                0.9988304898267375,
                5.1442219692761636e-05,
                5.1442212720446116e-05,
                0.00012339463292933644,
                7.889264465239894e-06,
                6.962257906334983e-06,
                NaN
            ],
            [
                3.120190389560577e-05,
                4.0063692035949344e-05,
                6.144175328193152e-06,
                8.939698426706115e-06,
                1.6701419835959236e-05,
                2.4300234882960603e-05,
                4.785093921175058e-06,
                3.120190386019117e-05,
                NaN,
                6.962253750102616e-06
            ],
            [
                4.006368261266023e-05,
                5.1442219029177106e-05,
                4.5397879364784514e-05,
                2.144495859792026e-05,
                4.006367740227721e-05,
                0.000261190422420626,
                9.610245930947007e-05,
                NaN,
                5.1442231868584845e-05,
                NaN
            ],
            [
                2.7535684514885004e-05,
                5.829127914879427e-05,
                8.481106119455672e-05,
                3.5356267533443565e-05,
                4.539785228266453e-05,
                3.120191503962793e-05,
                1.3007123795850811e-05,
                0.0001584361966085309,
                3.5356246446326235e-05,
                6.962255417721724e-06
            ],
            [
                NaN,
                0.07585818263281055,
                0.0010322310488792097,
                NaN,
                0.9999251537731852,
                4.0063706318089695e-05,
                0.9996646498119299,
                3.535625064399255e-05,
                0.14804720179063335,
                0.9399133552961427
            ],
            [
                1.8925154997134284e-05,
                0.00010889686977744752,
                3.726639726997871e-06,
                1.3007131554375137e-05,
                1.3007130006048483e-05,
                2.1444952857760444e-05,
                1.01299933928585e-05,
                2.1444950958338794e-05,
                4.785093353687772e-06,
                2.1444940738662144e-05
            ],
            [
                0.9997694931766561,
                0.9999546021422518,
                3.535624218589351e-05,
                0.9999546021314647,
                0.9997965730271834,
                0.00020342704362330194,
                1.892515272253387e-05,
                0.9996200154300847,
                0.9999546021422182,
                0.9997388097551453
            ],
            [
                0.9989677690772865,
                0.9999832985781861,
                0.9999546021098021,
                0.9999485577682965,
                0.9997040429738621,
                0.9994472214033706,
                0.9999417087137878,
                0.999569442971082,
                0.9999599362935613,
                0.9995694429130388
            ],
            [
                0.999915188929977,
                6.60521445480501e-05,
                2.7535700938304286e-05,
                4.539788473344934e-05,
                0.00026119033448501777,
                0.001169510011842746,
                0.00010889689492798803,
                4.006368735928331e-05,
                1.3007128460040644e-05,
                8.481107139652062e-05
            ],
            [
                8.481104096833701e-05,
                2.144495857685631e-05,
                2.7535684497254823e-05,
                7.484623592480082e-05,
                0.9996646498571132,
                3.1201915049389656e-05,
                5.8291257716896944e-05,
                8.481105059522718e-05,
                0.9991959140937867,
                0.047425872336085924
            ],
            [
                1.8925141465820123e-05,
                2.4300249398417826e-05,
                1.892514141783309e-05,
                2.753568756570771e-05,
                2.1444958545962514e-05,
                0.0002959569878020427,
                1.1478772228528306e-05,
                3.53562421007466e-05,
                1.4738988771924143e-05,
                1.300712689874894e-05
            ],
            [
                5.82912507489344e-05,
                0.00015843621548799566,
                1.8925157037100926e-05,
                2.753569423111943e-05,
                1.147877222702498e-05,
                NaN,
                3.120192248396136e-05,
                5.422219614951598e-06,
                0.00017952800554919495,
                1.0129994601301684e-05
            ],
            [
                7.484620909436473e-05,
                5.144219445073083e-05,
                8.939696289676375e-06,
                NaN,
                2.144495092658685e-05,
                5.8291272369553704e-05,
                6.605215996828876e-05,
                4.222833443968609e-06,
                1.5534981246861515e-06,
                4.0063677713879955e-05
            ],
            [
                3.120191507912884e-05,
                0.00013982208976806202,
                7.484621796051808e-05,
                0.00012339455873597364,
                5.8291249334985196e-05,
                2.753569433890398e-05,
                9.610242556891941e-05,
                4.00637063976665e-05,
                8.939699499627926e-06,
                4.5397857434650746e-05
            ],
            [
                0.01590639139109113,
                0.9989677688386401,
                0.033085975647636316,
                NaN,
                0.9996200154780515,
                0.9770226285846241,
                4.006370612803812e-05,
                0.037326889084349245,
                2.753569428601342e-05,
                0.0007096702457493474
            ],
            [
                0.03732688680867723,
                NaN,
                0.9996646498151301,
                0.025957355266929626,
                2.4300231975786048e-05,
                NaN,
                4.539788999212553e-05,
                1.670141577371409e-05,
                NaN,
                0.9953904274830422
            ],
            [
                1.4738987231708724e-05,
                1.3007134620224291e-05,
                1.0129988534912087e-05,
                3.1201900191715896e-05,
                6.9622579075254155e-06,
                4.006370644168152e-05,
                2.4300237806931815e-05,
                4.222832436272325e-06,
                1.0129988549837274e-05,
                1.0129990966427814e-05
            ],
            [
                1.4738987229134998e-05,
                7.484626273564317e-05,
                4.006368727183631e-05,
                7.484624454482645e-05,
                3.12019038974219e-05,
                4.006371115566053e-05,
                2.9023126768680736e-06,
                3.535625486558282e-05,
                3.1201918752486736e-05,
                5.144219515398787e-05
            ],
            [
                2.7535687672690865e-05,
                8.481107136566915e-05,
                9.610239137392027e-05,
                2.7535681183983206e-05,
                1.0129993384861544e-05,
                0.00020342697189913473,
                1.0129988509189174e-05,
                NaN,
                NaN,
                7.889261635360753e-06
            ],
            [
                1.0129988558423862e-05,
                NaN,
                6.144176784061922e-06,
                1.6701427653683206e-05,
                8.939692935896886e-06,
                8.939700518823276e-06,
                0.00010889686947164183,
                8.481104115899903e-05,
                4.5397884657811076e-05,
                NaN
            ],
            [
                0.9999687980887013,
                0.00012339460044684332,
                0.0002959571908134634,
                6.605216679706052e-05,
                0.000123394528695251,
                0.9995694429691655,
                0.9999756997651119,
                0.9999485577802993,
                0.9995694430203446,
                5.14422010079762e-05
            ],
            [
                3.288748656016194e-06,
                NaN,
                NaN,
                NaN,
                6.962256247478891e-06,
                4.539789020847081e-05,
                NaN,
                2.4300249193414412e-05,
                8.939697362191404e-06,
                1.012998966141357e-05
            ],
            [
                0.9991959138840398,
                0.00010889694711620995,
                5.144220733279945e-05,
                3.1201911228471336e-05,
                0.9996646497358668,
                2.1444940739364273e-05,
                0.00017952800280658733,
                8.939697363622378e-06,
                9.610237429600204e-05,
                1.4738985457284248e-05
            ],
            [
                3.1201900148015196e-05,
                8.939696290652038e-06,
                NaN,
                8.939694162533871e-06,
                8.939698428917621e-06,
                7.889265387782522e-06,
                1.6701427781154383e-05,
                6.144173865775523e-06,
                1.8925145929440477e-05,
                1.4738987222647056e-05
            ],
            [
                0.9999546021368951,
                0.9984988176191947,
                6.605216758325837e-05,
                0.9998204720559976,
                0.9998204720784581,
                3.5356238000833036e-05,
                0.9998766054697714,
                0.7310585727705126,
                0.9996200155649312,
                5.829126502414037e-05
            ],
            [
                2.43002320236113e-05,
                3.120190015868497e-05,
                7.889259763010786e-06,
                6.962259566204604e-06,
                3.5356254743393106e-05,
                6.144176064364297e-06,
                1.147876675162131e-05,
                1.8925150471961686e-05,
                3.1201900183543295e-05,
                3.120190386246134e-05
            ],
            [
                2.7535681159942053e-05,
                0.9995121429511559,
                0.9996646499418697,
                0.9999724643023661,
                0.00017952791926939042,
                2.7535684477821552e-05,
                0.0011695100975162333,
                0.0017007220374750571,
                0.9994472213319151,
                9.610241272516783e-05
            ],
            [
                2.1444953349876615e-05,
                2.7535690836507378e-05,
                3.5356263279182105e-05,
                6.605215225816896e-05,
                0.00020342699696737054,
                5.144222566240286e-05,
                0.00015843628913406616,
                9.610243677801314e-05,
                1.147876947397637e-05,
                4.006367767890117e-05
            ],
            [
                0.9999832985722016,
                4.006369630423832e-05,
                5.829124439761394e-05,
                0.00023050668072446682,
                3.120192231483385e-05,
                0.99994855778032,
                0.9999546021368871,
                0.0005527787141032015,
                2.1444958464827298e-05,
                0.9999339478318334
            ],
            [
                NaN,
                NaN,
                2.7535687784181736e-05,
                1.8925157244540003e-05,
                4.222831933564939e-06,
                2.7535687793096995e-05,
                1.3007130009739366e-05,
                1.1478773595970265e-05,
                7.889261641904523e-06,
                1.4738988980342514e-05
            ],
            [
                6.605214445049623e-05,
                3.120191879981973e-05,
                1.0129989743889052e-05,
                5.829129326115268e-05,
                6.605216807535285e-05,
                5.829127927560022e-05,
                NaN,
                0.00012339452923028175,
                7.889261631141743e-06,
                7.484620718848496e-05
            ],
            [
                0.0002611903390220111,
                0.000179527920392553,
                0.00017952792189968053,
                2.7535681222849733e-05,
                5.144219521574275e-05,
                6.605213662504366e-05,
                5.8291279258636216e-05,
                8.481102108148808e-05,
                0.0003353500667357176,
                0.9996646497776058
            ],
            [
                0.00010889689480281364,
                4.539786836949404e-05,
                2.9023130227599746e-06,
                8.939694162111085e-06,
                4.53978847760578e-05,
                1.3007133110746217e-05,
                0.0001233945291818058,
                NaN,
                3.535624994223778e-05,
                5.144223771209773e-05
            ],
            [
                2.1444958398358833e-05,
                5.829127220118597e-05,
                NaN,
                0.00012339463092207183,
                1.67014218207539e-05,
                9.610244834787996e-05,
                NaN,
                0.00020342694603771595,
                4.539788478662733e-05,
                9.610243651512519e-05
            ],
            [
                5.8291258026489946e-05,
                2.753568055450572e-05,
                1.892515718663882e-05,
                1.0129993375832724e-05,
                4.006371071900823e-05,
                1.6701429800582296e-05,
                2.1444945799155638e-05,
                NaN,
                5.82912789600697e-05,
                1.1478765341502444e-05
            ],
            [
                0.9999785550465006,
                4.006369646514085e-05,
                1.8925148209685606e-05,
                0.0001233946318107981,
                0.9999251537551971,
                0.9999724643188244,
                0.9998911030653822,
                0.9999151889289651,
                2.4300235085577054e-05,
                0.9999898700066125
            ],
            [
                5.829127909408535e-05,
                3.1201903879941626e-05,
                2.7535687767453096e-05,
                5.144223174095801e-05,
                2.1444940681867538e-05,
                1.892515722973768e-05,
                1.4738980205754734e-05,
                1.4738988992031526e-05,
                NaN,
                0.00010889696050829133
            ],
            [
                1.3007128385560471e-05,
                1.670142179450627e-05,
                1.1478768114051531e-05,
                1.473897666714897e-05,
                4.006368253745581e-05,
                5.144219501139025e-05,
                2.902311289436464e-06,
                1.0129993386593603e-05,
                1.892514591580858e-05,
                2.561283430914951e-06
            ],
            [
                4.539785213667288e-05,
                2.7535691028235637e-05,
                0.00013982208958700088,
                3.1201907631845964e-05,
                8.481108150469728e-05,
                0.00010889689539065788,
                0.0005527786802084916,
                9.610244886386753e-05,
                7.484626254505505e-05,
                5.14422006000197e-05
            ],
            [
                0.010986942620473214,
                NaN,
                0.00017952798551510005,
                0.022977368613751804,
                4.006368715553179e-05,
                0.9992903294731823,
                8.48110100527114e-05,
                0.9998601779434068,
                0.9953904287543219,
                3.535626746861868e-05
            ],
            [
                0.00020342704267029438,
                1.8925148216088467e-05,
                NaN,
                5.8291279342183934e-05,
                5.144223783485903e-05,
                7.484620853022433e-05,
                3.535626748276697e-05,
                5.82912723385944e-05,
                7.484625353622762e-05,
                5.1442207203675584e-05
            ],
            [
                9.610242602198156e-05,
                7.48462537660224e-05,
                0.00012339452946727523,
                0.9999038976081813,
                NaN,
                0.9996200155236415,
                0.00013982212238755054,
                0.0002959571985116427,
                0.00010889694532257115,
                0.000335350282729578
            ],
            [
                0.9998601779263891,
                0.9996200154288465,
                6.605214426644143e-05,
                0.9999339478240521,
                0.9999151889185163,
                0.999903897608352,
                0.9997388097897313,
                0.9999038975509124,
                0.00017952804712190808,
                0.9999251537556436
            ],
            [
                7.889265398889712e-06,
                2.7535681210027785e-05,
                NaN,
                1.3007128431365306e-05,
                1.892514365015949e-05,
                6.144176034367584e-06,
                NaN,
                NaN,
                NaN,
                1.6701427716264382e-05
            ],
            [
                2.4300237795616407e-05,
                2.753570402108354e-05,
                2.4300249097587034e-05,
                5.8291243070181273e-05,
                0.9999687980737988,
                0.9994472213385076,
                1.1478768059263677e-05,
                0.9947798750705679,
                0.9999810748517651,
                3.120191134118513e-05
            ],
            [
                7.889264464106214e-06,
                3.2887486729876365e-06,
                1.473897842789947e-05,
                1.4738988875731182e-05,
                1.209865538089971e-06,
                8.939700561817559e-06,
                4.5397884316943456e-05,
                5.422220260508458e-06,
                1.670141576484337e-05,
                3.535623794449717e-05
            ],
            [
                2.7535694345515298e-05,
                0.9902915237960982,
                3.12019258544797e-05,
                0.0001398220895056251,
                0.8354835289107307,
                4.5397884772424514e-05,
                0.9999417087345,
                0.9999151889793949,
                6.605214436255359e-05,
                0.9770226275392417
            ],
            [
                0.0004878570371786379,
                2.4300243577612267e-05,
                0.9999339478802816,
                0.0007096702889683882,
                2.753569107391384e-05,
                3.5356267165073584e-05,
                NaN,
                0.00012339455633372099,
                0.053403326975043915,
                NaN
            ],
            [
                0.0017007224078775262,
                0.00010889686807571015,
                0.02595735503145802,
                0.0028009266022942666,
                0.04742587671178652,
                0.00013982210233858748,
                0.9999485577802837,
                0.00020342703253053068,
                0.7981867777396211,
                0.0019267348674962574
            ],
            [
                1.3007133104831333e-05,
                2.5612819046527985e-06,
                1.6701415866188347e-05,
                2.5612828155069183e-06,
                8.939697348174362e-06,
                1.1478766729489024e-05,
                6.962255407261111e-06,
                1.3007129950401281e-05,
                NaN,
                1.3007129983619252e-05
            ],
            [
                0.9999756997593346,
                7.484621751181948e-05,
                0.9998601778937248,
                7.484622678528766e-05,
                0.9999810748495332,
                0.9998601779767078,
                0.9999724643089759,
                6.605215230190002e-05,
                3.5356258906590033e-05,
                0.9993736659087481
            ],
            [
                0.7981867801399694,
                2.1444958551891626e-05,
                0.9999339478790821,
                0.9999646437409018,
                3.1201918748173414e-05,
                0.0004305570680225712,
                0.9999485577804577,
                5.829127224614057e-05,
                2.1444943247610763e-05,
                0.9998766054556686
            ],
            [
                2.9023119843875324e-06,
                3.120190389197351e-05,
                NaN,
                5.8291286062899485e-05,
                3.535623800340544e-05,
                5.422220258565466e-06,
                5.8291286115912004e-05,
                0.0003799844700130808,
                1.0129993388178253e-05,
                3.120190012168126e-05
            ],
            [
                NaN,
                2.7535684500460307e-05,
                NaN,
                0.9999151889187237,
                0.004070136874030444,
                0.020332353379760686,
                0.9999646437578993,
                9.610243538107139e-05,
                0.0031726827195140517,
                0.995929861617784
            ],
            [
                0.9971990725223816,
                0.9999599362983516,
                0.9988304896715733,
                0.9994472212817485,
                3.1201907597112416e-05,
                0.999704042941683,
                0.9990889487002714,
                0.9959298627088119,
                0.9997388096011155,
                0.999620015522348
            ],
            [
                7.484620925718133e-05,
                2.7535700920674098e-05,
                0.0002305067889298295,
                7.484622319787657e-05,
                0.00020342704494922558,
                0.9997694933771577,
                5.829127242214212e-05,
                0.00020342703871620082,
                0.0002959572306993341,
                2.7535681193800006e-05
            ],
            [
                1.4738978423073732e-05,
                1.8925152679985807e-05,
                2.9023119820435415e-06,
                3.12019223534267e-05,
                2.43002490205008e-05,
                5.14422130977124e-05,
                7.889259761030436e-06,
                9.610237818897847e-05,
                4.5397890018549385e-05,
                3.7266379501469723e-06
            ],
            [
                0.00013982202355259887,
                0.07585818785594477,
                0.14804720367010532,
                2.43002523020584e-05,
                0.999972464295863,
                5.8291262488870315e-05,
                7.484626234248711e-05,
                0.9998911030758145,
                0.008577487068968185,
                0.9149009532527358
            ],
            [
                7.484625357652338e-05,
                3.5356263078019186e-05,
                4.539786306821192e-05,
                5.1442201137100044e-05,
                4.5397868286258945e-05,
                5.144221342744613e-05,
                2.753570085966963e-05,
                6.60521757383795e-05,
                1.670142579143758e-05,
                1.0129987338317643e-05
            ],
            [
                8.93969736654937e-06,
                2.753568123266654e-05,
                8.481108157318755e-05,
                4.785093922654737e-06,
                1.89251572481201e-05,
                4.539788470372251e-05,
                1.6701417820299553e-05,
                4.0063696899461064e-05,
                5.144219515398787e-05,
                4.539785222420181e-05
            ],
            [
                0.999975699747698,
                5.1442231758923074e-05,
                2.753568123266654e-05,
                3.5356242207501795e-05,
                0.9999417087276304,
                5.1442231925848494e-05,
                0.9998766053960036,
                0.00015843627183133974,
                0.9999724642990699,
                3.120192611986234e-05
            ],
            [
                1.6701429795417824e-05,
                NaN,
                0.9996200154494749,
                0.00026119027504813266,
                4.006367772116721e-05,
                2.4300240681044865e-05,
                0.9995121428437823,
                3.535623803478889e-05,
                2.753569107391384e-05,
                4.0063687367153544e-05
            ],
            [
                2.7535704107631764e-05,
                3.535626332895835e-05,
                1.4738987212244906e-05,
                3.535626754334737e-05,
                4.006367773545022e-05,
                3.120192618206495e-05,
                0.00026119027225146075,
                0.0002611903040484063,
                3.53562504824449e-05,
                1.1478769483372156e-05
            ],
            [
                1.3007126882802424e-05,
                0.00029595701770781374,
                3.7266383872030148e-06,
                7.889264444618405e-06,
                5.8291244525692116e-05,
                6.1441731319963306e-06,
                6.605212094194375e-05,
                7.889259761489647e-06,
                6.605216819020694e-05,
                1.3007133107008012e-05
            ],
            [
                0.00013982210589470978,
                7.484623466147433e-05,
                0.0005527785487780755,
                4.5397857470322915e-05,
                5.8291244578280495e-05,
                0.0001584362708723824,
                0.0002034270131744158,
                0.00010889686945262799,
                NaN,
                4.006368730302574e-05
            ],
            [
                2.7535697606699305e-05,
                1.8925152735477297e-05,
                NaN,
                2.1444943284979742e-05,
                4.006369692540368e-05,
                3.535625069312567e-05,
                7.889266346287306e-06,
                5.8291265374447014e-05,
                NaN,
                3.120192618660529e-05
            ],
            [
                1.8925154992246077e-05,
                0.00020342704457039024,
                0.002472622860306856,
                4.0063691791389194e-05,
                0.9995694429190762,
                3.1201922495312196e-05,
                1.0129987341781759e-05,
                4.0063692064806855e-05,
                0.00010889694558559593,
                4.5397873516857906e-05
            ],
            [
                5.4222196143006464e-06,
                8.939697356272375e-06,
                1.3007134648426451e-05,
                7.484619932101378e-05,
                NaN,
                2.4300237808257835e-05,
                6.962254581733882e-06,
                NaN,
                3.535624646150348e-05,
                1.4738988934819694e-05
            ],
            [
                0.0002959571404653092,
                NaN,
                4.539788989964205e-05,
                0.09534946618445304,
                NaN,
                4.0063711148373275e-05,
                8.48110816287202e-05,
                4.006370130096154e-05,
                0.00010889688230280574,
                NaN
            ],
            [
                0.00017952801979508336,
                NaN,
                2.4300234925658572e-05,
                5.829125820121915e-05,
                2.753570412025338e-05,
                6.605214442214313e-05,
                0.00017952804367405765,
                5.1442207429361644e-05,
                1.89251459455509e-05,
                7.484622673519024e-05
            ],
            [
                1.147876675466972e-05,
                3.12019187588432e-05,
                0.0006263340619949218,
                NaN,
                4.0063682416487474e-05,
                7.484625379869465e-05,
                0.0001584362534405676,
                4.006371126117997e-05,
                7.484621824258834e-05,
                3.5356242249174894e-05
            ],
            [
                1.892514595037026e-05,
                2.430024358875087e-05,
                2.1444950935948603e-05,
                5.422221551060224e-06,
                1.4738981967202704e-05,
                4.539785768204387e-05,
                9.610241068359177e-05,
                4.785093923768848e-06,
                2.4300237801450912e-05,
                2.1444958621558693e-05
            ],
            [
                8.481106701684587e-05,
                5.8291272059112436e-05,
                2.7535697349659168e-05,
                4.006368253424943e-05,
                NaN,
                2.260325374873376e-06,
                0.00017952804337106472,
                9.610243533632451e-05,
                NaN,
                7.484621751181948e-05
            ],
            [
                NaN,
                3.2887506313204215e-06,
                5.422218319103914e-06,
                NaN,
                NaN,
                1.6701421817959012e-05,
                6.14417751605337e-06,
                NaN,
                1.147876812106705e-05,
                3.2887502391644283e-06
            ],
            [
                2.144495606626759e-05,
                2.144494327335557e-05,
                1.892514144530343e-05,
                2.7535691034446272e-05,
                3.2887478890769702e-06,
                7.889263488539066e-06,
                2.753568442272724e-05,
                5.829129307666907e-05,
                1.8925152742706337e-05,
                7.484623562421623e-05
            ],
            [
                0.00033535001748390727,
                0.000430557174889849,
                0.9998766053965441,
                0.0031726835604305517,
                0.022977368362860108,
                0.0002305067896474875,
                0.015906391595187953,
                0.999891103052307,
                0.00029595707676160257,
                0.0059110683965478686
            ],
            [
                1.4738988994015443e-05,
                NaN,
                3.120190384339194e-05,
                NaN,
                2.1444943231383732e-05,
                NaN,
                2.753569434711804e-05,
                8.481101041305633e-05,
                0.00017952798522255528,
                7.484620914609577e-05
            ],
            [
                7.88926163375351e-06,
                1.012999576917059e-05,
                4.0063701396570306e-05,
                2.1444953406359195e-05,
                3.288749456563487e-06,
                3.535625869410851e-05,
                2.4300234875888474e-05,
                3.535624623024341e-05,
                7.889264425905514e-06,
                6.144176051668222e-06
            ],
            [
                3.7266379507909478e-06,
                4.539786298431624e-05,
                4.006370169826257e-05,
                2.7535700906750255e-05,
                2.7535684479824982e-05,
                3.5356258934629365e-05,
                5.829125831911895e-05,
                5.144221950824546e-05,
                1.8925152709315055e-05,
                1.473897664602297e-05
            ],
            [
                0.00010889692123520923,
                2.4300252214098755e-05,
                3.535626302194052e-05,
                7.484619988951042e-05,
                3.5356237789123365e-05,
                0.9046505395995929,
                6.605215167669026e-05,
                0.9997965731043651,
                0.999933947823967,
                2.1444950946558592e-05
            ],
            [
                0.9997040429740515,
                0.0003353499787986057,
                8.481105038050101e-05,
                8.481108128750289e-05,
                4.006370167756677e-05,
                3.5356242238628006e-05,
                0.0015011824844572486,
                0.9933071477662159,
                7.484625324108835e-05,
                0.5621765008857981
            ],
            [
                0.00010889693479365852,
                1.8925154891383742e-05,
                1.1478773593548236e-05,
                0.999820471949903,
                4.006368254998988e-05,
                1.3007134663521234e-05,
                1.670142979875954e-05,
                8.939697248591573e-06,
                1.892514822538295e-05,
                3.1201918766788786e-05
            ],
            [
                0.9996200154800192,
                0.9999485577681464,
                0.9999417087207189,
                0.9999885212277764,
                0.999933947871323,
                0.9998766054552628,
                0.00048785701495462154,
                0.962673116537899,
                0.9998766054708182,
                0.9999687980738688
            ],
            [
                2.4300249356780647e-05,
                1.6701419824232864e-05,
                4.5397852228495686e-05,
                7.889259761030436e-06,
                4.785096203588998e-06,
                NaN,
                1.1478773553918894e-05,
                4.539785221495347e-05,
                0.0010322309791339565,
                4.785096772847886e-06
            ],
            [
                4.006370166619866e-05,
                8.93969842465722e-06,
                4.0063701169208014e-05,
                7.889259761905808e-06,
                4.785093347512289e-06,
                NaN,
                1.1478769483372156e-05,
                1.1478770854906172e-05,
                1.0129995798947277e-05,
                0.00013982210373418238
            ],
            [
                7.48462358997521e-05,
                7.889264465397747e-06,
                2.1444940738662144e-05,
                1.012998733249498e-05,
                7.889265403883644e-06,
                5.4222183231674305e-06,
                2.7535700932494338e-05,
                1.0129990969818226e-05,
                4.7850939232204965e-06,
                3.1201926235527406e-05
            ],
            [
                6.605216808928912e-05,
                7.484626266158608e-05,
                8.481105078157003e-05,
                9.610242103410306e-05,
                9.610242515221413e-05,
                8.481107105962257e-05,
                NaN,
                3.5356237128013e-05,
                8.481103064050281e-05,
                3.1201907614819715e-05
            ],
            [
                0.999968798088688,
                0.999975699759464,
                0.999941708706802,
                9.610244819685922e-05,
                0.9999151889184082,
                0.999986992865365,
                0.9996646500137668,
                0.00017952796348543428,
                0.9999832985702045,
                0.9999785550439337
            ],
            [
                6.605217592675944e-05,
                0.9997694933716041,
                0.0001233946016605379,
                0.9999756997680037,
                2.4300243522449657e-05,
                0.0003353501413061723,
                0.9998204719730585,
                3.535623754371508e-05,
                0.9992903297208973,
                0.0001233946299202349
            ],
            [
                7.4846253454547e-05,
                0.9984988178901906,
                0.0003353499771106973,
                9.61024260093965e-05,
                0.00010889694720969464,
                NaN,
                0.00012339457374197448,
                1.8925141459279565e-05,
                0.00012339455894603608,
                5.14422011082811e-05
            ],
            [
                4.539787402650773e-05,
                1.6701429800582296e-05,
                1.4738988995409548e-05,
                7.889259759767604e-06,
                7.889260695325465e-06,
                6.144174598794825e-06,
                4.006370588959918e-05,
                6.962256248606003e-06,
                6.605215237062023e-05,
                NaN
            ],
            [
                0.0003353502619477976,
                0.0001233945744583414,
                2.7535704161123372e-05,
                0.00037998456131469604,
                0.01590639319880594,
                0.9947798751576202,
                0.00012339454428655032,
                4.0063711186267e-05,
                8.481103071331226e-05,
                5.829126454745191e-05
            ],
            [
                0.9999756997506822,
                0.9999869928684492,
                0.9999687980775535,
                3.120192245127094e-05,
                0.9999339478792247,
                0.9999832985702019,
                0.9999852610180459,
                6.605216719592617e-05,
                0.9999339478633364,
                NaN
            ],
            [
                1.3007123739777765e-05,
                7.88925973976319e-06,
                1.8925157215692683e-05,
                2.4300234740103635e-05,
                6.962259561569511e-06,
                1.9947290076932355e-06,
                1.4738976362269668e-05,
                NaN,
                4.785093923116048e-06,
                3.2887482706202983e-06
            ],
            [
                5.829127903640773e-05,
                3.1201907620154606e-05,
                6.144173135896795e-06,
                2.4300246500523706e-05,
                5.144222582408846e-05,
                1.4738978408918237e-05,
                4.006369687905675e-05,
                3.120192242062368e-05,
                1.0129992181411995e-05,
                7.484626216170067e-05
            ],
            [
                0.00037998442751842684,
                3.120190762197074e-05,
                1.0129990966427814e-05,
                7.484624467551543e-05,
                NaN,
                4.006370155543241e-05,
                8.939693101987369e-06,
                3.120191496834468e-05,
                5.144220715277459e-05,
                NaN
            ],
            [
                1.892514145232592e-05,
                5.1442219564386285e-05,
                4.785095634356291e-06,
                3.535623797999648e-05,
                1.6701429804288556e-05,
                7.889265389848976e-06,
                7.889260699630574e-06,
                2.4300231884202006e-05,
                1.4738983709616027e-05,
                4.006370151724721e-05
            ],
            [
                0.9999869928746445,
                1.1478765382927399e-05,
                2.1444940727740105e-05,
                0.9999785550567089,
                5.829124455283451e-05,
                2.753570091616638e-05,
                0.9999485577987062,
                0.9999724643089335,
                0.00033535028591026383,
                0.9999151889487902
            ],
            [
                0.00020342699374727114,
                0.9999151889187717,
                0.9999832985841337,
                8.481104071165285e-05,
                4.006369672427553e-05,
                0.0008040858192746222,
                0.0002959570911246431,
                0.9953904276988392,
                3.120191873909274e-05,
                0.9996646497340033
            ],
            [
                4.539785768204387e-05,
                4.5397868098649706e-05,
                8.481106082433912e-05,
                4.785095633181251e-06,
                1.8925145833604093e-05,
                6.9622587243147515e-06,
                2.1444948373169015e-05,
                NaN,
                1.3007128448589436e-05,
                8.93969949587162e-06
            ]
        ]
    },
    {
        "q_id": "10414_mmlu_computer science",
        "cot_ids": [
            0,
            1,
            2,
            3,
            4,
            5,
            6,
            7,
            8,
            9,
            10,
            11,
            12,
            13,
            14,
            15,
            16,
            17,
            18,
            19,
            20,
            21,
            22,
            23,
            24,
            25,
            26,
            27,
            28,
            29,
            30,
            31,
            32,
            33,
            34,
            35,
            36,
            37,
            38,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            46,
            47,
            48,
            49,
            50,
            51,
            52,
            53,
            54,
            55,
            56,
            57,
            58,
            59,
            60,
            61,
            62,
            63,
            64,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            73,
            74,
            75,
            76,
            77,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            91,
            92,
            93,
            94,
            95,
            96,
            97,
            98,
            99,
            100,
            101,
            102,
            103,
            104,
            105,
            106,
            107,
            108,
            109,
            110,
            111,
            112,
            113,
            114,
            115,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            124,
            125,
            126,
            127
        ],
        "rewards": [
            [
                1.553497198826904e-06,
                2.561282821069686e-06,
                6.962257909007124e-06,
                1.7603440525205244e-06,
                3.7266379512112265e-06,
                3.7266392839425286e-06,
                2.2603234891558813e-06,
                4.222832940777184e-06,
                1.9947306725215466e-06,
                2.2603251061458426e-06
            ],
            [
                1.994729008074216e-06,
                4.222834954211514e-06,
                2.9023112927307205e-06,
                4.222833947198501e-06,
                6.144177530291754e-06,
                8.9397005654763e-06,
                1.4738985468008114e-05,
                1.1478769487046951e-05,
                1.3007134663876127e-05,
                4.22283193393364e-06
            ],
            [
                0.9999251537371739,
                0.9999417087415308,
                0.9996646498957791,
                0.999925153791325,
                0.9999646437620147,
                0.9999852610233015,
                0.9999687980812137,
                0.9999485577741262,
                0.9999599363221608,
                0.9998766053811593
            ],
            [
                3.2887506328279317e-06,
                1.3709575334098791e-06,
                2.561283126502453e-06,
                2.2603245669804887e-06,
                1.99472900796355e-06,
                1.553497939407443e-06,
                5.4222196154940574e-06,
                1.7603425837062577e-06,
                1.473898548194914e-05,
                5.422217676486429e-06
            ],
            [
                1.3709576970824327e-06,
                1.76034279349265e-06,
                9.422449308138184e-07,
                1.5534975692471157e-06,
                6.1441753308083655e-06,
                1.994730672496148e-06,
                8.315279284309647e-07,
                7.338207180601138e-07,
                1.7603430033799313e-06,
                1.3709576970213355e-06
            ],
            [
                0.9999832985741766,
                0.9999687980737552,
                0.9999687980923636,
                0.9999151889183621,
                0.9999724643089167,
                0.9996200154274757,
                0.9999852610145198,
                0.9999885212264035,
                0.9999546021259761,
                0.9999832985721927
            ],
            [
                0.9999938558275963,
                0.9999980052693275,
                0.9999910603036983,
                0.9999967112509348,
                0.9999952149037951,
                0.9999885212359814,
                0.9999952149049351,
                0.9999952149032242,
                0.999994577781031,
                0.999993855826131
            ],
            [
                6.962258737092915e-06,
                2.5612812945889277e-06,
                2.5612831265909735e-06,
                1.9947290080125335e-06,
                2.260324836295902e-06,
                1.9947292458930106e-06,
                2.56128221029278e-06,
                3.288749849209925e-06,
                2.260323489192885e-06,
                3.288749456964293e-06
            ],
            [
                3.2887478887419687e-06,
                4.7850967754851966e-06,
                1.2098653950205268e-06,
                8.939698432446272e-06,
                1.7603425835461557e-06,
                1.5534979396645902e-06,
                5.422221554758815e-06,
                1.994729721323867e-06,
                1.2098661161602417e-06,
                3.2887498492518007e-06
            ],
            [
                0.9978172834441084,
                0.9996646498118714,
                0.22270013366638422,
                0.9999785550479892,
                0.9997388095982276,
                0.994779873537479,
                0.998299277783451,
                0.9993736658994573,
                0.9986749772740735,
                0.34864513533394575
            ],
            [
                0.9998204720353548,
                0.9999546021097396,
                0.9998911030517992,
                0.9995694429707562,
                0.9997040427995251,
                0.9999546021476212,
                0.999447221461802,
                0.7057850278370112,
                0.9995121428939354,
                0.9998415638030757
            ],
            [
                1.2098652508144226e-06,
                4.22283394762097e-06,
                1.7603434230921292e-06,
                1.760344052650207e-06,
                3.2887498491620677e-06,
                2.902311984989368e-06,
                2.9023116389365734e-06,
                2.902311293034278e-06,
                7.889264465239894e-06,
                4.222834450820197e-06
            ],
            [
                0.9986749777668747,
                0.9999151889589378,
                0.9999869928715381,
                0.9999869928730897,
                0.999959936317424,
                0.9999974387168734,
                0.9999151889587774,
                0.9999832985761657,
                0.9999724643155059,
                0.9999898700126439
            ],
            [
                1.3007125358230479e-05,
                4.222831933726245e-06,
                5.4222202621161125e-06,
                7.889264465842609e-06,
                1.994729245822257e-06,
                3.7266388395111645e-06,
                1.1478769491598686e-05,
                3.120192250393883e-05,
                1.8925145981283003e-05,
                2.902311984873224e-06
            ],
            [
                1.7603440525701563e-06,
                1.5534973841450852e-06,
                1.3709570433387154e-06,
                1.370956879949281e-06,
                4.785096205830278e-06,
                1.99472900796355e-06,
                1.0677026150822255e-06,
                1.994729721436347e-06,
                1.0677033791107183e-06,
                6.144172403470001e-06
            ],
            [
                8.93970056399654e-06,
                1.3007126910294786e-05,
                6.962258738701267e-06,
                2.4300249408672413e-05,
                1.0129994601301684e-05,
                1.0677024881499412e-06,
                2.561281599881745e-06,
                1.892514372479069e-05,
                2.561283126160022e-06,
                1.3007133114886634e-05
            ],
            [
                0.9999151889790765,
                0.9999646437577374,
                0.9999417087345585,
                0.9990889490111688,
                0.9999724643121942,
                0.9999038975737738,
                0.9998415637657616,
                0.9998766054550456,
                0.9998766054252921,
                0.999975699756372
            ],
            [
                2.5612812945260317e-06,
                3.7266401720529807e-06,
                2.4300240699432402e-05,
                1.76034258364702e-06,
                5.144219515398787e-05,
                3.288748672879957e-06,
                6.962256247998122e-06,
                6.962257908487893e-06,
                3.726638839395927e-06,
                8.939698426706115e-06
            ],
            [
                0.9996646498524105,
                0.9999251537907135,
                0.9999151889688264,
                0.9998601778596466,
                0.9996646498918861,
                0.9993736657205269,
                0.9998415638402215,
                0.9998415638213696,
                0.9998601778930861,
                0.9997040430066525
            ],
            [
                0.9999785550490391,
                0.9999546021151652,
                0.9999898700054105,
                0.9999687980886521,
                0.9999546021151565,
                0.999988521234612,
                0.9999339478553885,
                0.9999832985761841,
                0.9999945777803841,
                0.9999869928761908
            ],
            [
                1.9947290080125335e-06,
                8.315283249401942e-07,
                2.2603242976733308e-06,
                2.2603245671202796e-06,
                9.422450431140731e-07,
                5.04347408156499e-07,
                1.5534975692866768e-06,
                1.5534975692471157e-06,
                7.33820892991805e-07,
                1.2098662602861223e-06
            ],
            [
                1.8925141467059383e-05,
                1.892515049423401e-05,
                1.012998977213635e-05,
                2.5612822103393692e-06,
                4.222834954561012e-06,
                2.9023123309287002e-06,
                1.5534979397140412e-06,
                0.9980732656939679,
                1.0129992185760567e-05,
                2.56128129423019e-06
            ],
            [
                3.7266392832104296e-06,
                9.422444815563743e-07,
                1.994729721436347e-06,
                1.7603434230729168e-06,
                4.222831934052698e-06,
                1.553498495230919e-06,
                2.561282821176841e-06,
                2.5612819052374947e-06,
                3.7266388396128453e-06,
                4.785092782936557e-06
            ],
            [
                2.5612819053586272e-06,
                4.222834954403545e-06,
                3.2887506333394084e-06,
                3.726639283806955e-06,
                1.1478764015361142e-05,
                4.222834954514924e-06,
                6.144172403592939e-06,
                6.962259568509485e-06,
                7.889261644057078e-06,
                2.902313368820854e-06
            ],
            [
                0.9999832985821424,
                0.9999984465016901,
                0.9999938558254001,
                0.9999921107345936,
                0.9999980052709919,
                0.9999930377437609,
                0.9999885212277709,
                0.9999546021205734,
                0.9999970976866313,
                0.9999832985841305
            ],
            [
                2.902313022984344e-06,
                5.422219615750493e-06,
                1.0129987355564522e-05,
                5.422217676797111e-06,
                3.2887482810801374e-06,
                5.422217030032353e-06,
                4.222832437497486e-06,
                1.1478770860481005e-05,
                6.144172403827636e-06,
                6.962259568889411e-06
            ],
            [
                0.9999938558239339,
                0.9999970976887069,
                0.9999910603068934,
                0.999991060299434,
                0.9999982396567867,
                0.9999974387168734,
                0.999941708748396,
                0.9999957771655491,
                0.99998329857418,
                0.9999869928761898
            ],
            [
                4.7850933498797755e-06,
                4.7850944942634305e-06,
                2.144494838814782e-05,
                6.144176798132662e-06,
                4.7850950646797465e-06,
                7.889263523668778e-06,
                1.670141586084161e-05,
                5.422219614438727e-06,
                4.222831932543332e-06,
                1.4738978453315019e-05
            ],
            [
                5.422220908481809e-06,
                1.9947306725451314e-06,
                4.222834450950777e-06,
                1.0129987354108855e-05,
                6.144174601309452e-06,
                7.889263525103816e-06,
                2.5612831264302397e-06,
                8.939699494895954e-06,
                8.93969630348202e-06,
                2.260324836250676e-06
            ],
            [
                5.4222183231674305e-06,
                4.7850939232204965e-06,
                1.553498495295912e-06,
                1.5534983100595462e-06,
                2.2603237588597026e-06,
                2.9023123308072772e-06,
                2.2603251059484907e-06,
                2.5612812944118885e-06,
                1.067703379136937e-06,
                9.422447060753778e-07
            ],
            [
                4.785092782501357e-06,
                3.2887494571676872e-06,
                1.0677024880353552e-06,
                1.9947301970287804e-06,
                2.2603251061232293e-06,
                6.962256248871951e-06,
                1.994729721469003e-06,
                1.3709573702111586e-06,
                2.902313368963394e-06,
                3.2887498485279564e-06
            ],
            [
                4.7850950647493785e-06,
                3.2887506333394084e-06,
                6.144173868983067e-06,
                1.7603427934206038e-06,
                1.994730434356071e-06,
                5.715004470170917e-07,
                8.93969417167259e-06,
                3.2887478887958082e-06,
                1.9947294834796172e-06,
                7.889261644057078e-06
            ],
            [
                6.962255417544426e-06,
                6.962258736902953e-06,
                1.8925155000025902e-05,
                1.670141984385783e-05,
                1.0129989769722525e-05,
                3.12019075573845e-05,
                7.889263524443698e-06,
                5.422220908314139e-06,
                3.535625904858737e-05,
                8.939696302652706e-06
            ],
            [
                0.7772998663336158,
                0.6513548646660543,
                0.9996646499303471,
                0.37754066879814546,
                0.9995694428721057,
                0.10669058613457583,
                0.20181322466072713,
                0.22270013882530887,
                0.99979657309939,
                0.9997965730028994
            ],
            [
                0.9998601779760934,
                0.9999832985702033,
                0.9997040429024946,
                0.9993736659857344,
                0.999959936322189,
                0.9997965730755322,
                0.9997040429739568,
                0.9998911030649876,
                0.999738809567259,
                0.9998204719918179
            ],
            [
                1.473898021151881e-05,
                1.1478772222807315e-05,
                1.6701419847381817e-05,
                4.78509506499309e-06,
                7.889262584350785e-06,
                4.7850956351657615e-06,
                1.3007128452280321e-05,
                1.0129988558792384e-05,
                3.7266410601636445e-06,
                5.422218969306048e-06
            ],
            [
                0.9999756997505795,
                0.9999921107392958,
                0.9999885212291385,
                0.9999938558246665,
                0.9999785550567036,
                0.9999957771675627,
                0.9999921107355343,
                0.9999945777803845,
                0.9999938558232014,
                0.999993855826131
            ],
            [
                1.2098652507285942e-06,
                9.42244256886598e-07,
                1.553498495189945e-06,
                2.260325106045111e-06,
                1.5534979396984994e-06,
                7.33820805514942e-07,
                1.0677026152939181e-06,
                8.315278293762888e-07,
                1.3709578605118645e-06,
                2.260324028281919e-06
            ],
            [
                2.9023109471188266e-06,
                1.7603438427852151e-06,
                1.760343632920248e-06,
                1.5534983101393749e-06,
                3.7266397280960194e-06,
                3.7266388384265735e-06,
                1.9947304348332037e-06,
                1.9947294835866542e-06,
                1.3709572068272963e-06,
                3.72664106039412e-06
            ],
            [
                2.4300232032009452e-05,
                2.2603251060985603e-06,
                6.962258738435319e-06,
                1.892514823364471e-05,
                5.422219614951598e-06,
                1.4738985455461193e-05,
                7.889261642794245e-06,
                2.9023126768258393e-06,
                7.88926070020459e-06,
                1.3007134648426451e-05
            ],
            [
                3.288748672760313e-06,
                2.5612828207295832e-06,
                7.889263525663481e-06,
                1.760343842833246e-06,
                4.222832939870796e-06,
                6.144173868781898e-06,
                3.7266401712327585e-06,
                2.2603253754284284e-06,
                1.5534983100425914e-06,
                1.3709572066982443e-06
            ],
            [
                5.422220907909759e-06,
                4.22283294098842e-06,
                3.288749065209246e-06,
                2.2603242978007868e-06,
                2.9023123309287002e-06,
                3.7266406162269133e-06,
                2.2603242977308917e-06,
                1.3709576970824327e-06,
                2.9023130228444433e-06,
                3.726639283806955e-06
            ],
            [
                0.9999921107402373,
                0.9999962733620492,
                0.9999724642957807,
                0.9999785550413702,
                0.9999687980774756,
                0.9999962733593838,
                0.9999974387184001,
                0.9999785550439201,
                0.9999930377404308,
                0.9999852610145252
            ],
            [
                0.9999970976883612,
                0.9999938558253983,
                0.9999930377454112,
                0.9999989322966208,
                0.9999977396757024,
                0.9999974387168734,
                0.999997097686631,
                0.9999957771650457,
                0.9999945777816771,
                0.9999977396751634
            ],
            [
                2.9023116390421582e-06,
                4.785096205651846e-06,
                1.7603434231385591e-06,
                5.422220908481809e-06,
                3.7266383954560706e-06,
                3.7266410607194972e-06,
                1.5534983100920427e-06,
                1.2098659719122375e-06,
                2.5612825157045092e-06,
                1.994730434735237e-06
            ],
            [
                0.9997694933132257,
                0.9997388097894729,
                0.9999417087145682,
                0.9999417087484261,
                0.9999599362887583,
                0.9999151889487328,
                0.9992903295784437,
                0.9996646497791962,
                0.9999038975511235,
                0.9998204720558539
            ],
            [
                4.222835457906302e-06,
                2.9023123308072772e-06,
                6.144174599353632e-06,
                2.5612815998491325e-06,
                4.222834953420345e-06,
                2.9023126767360923e-06,
                3.7266397281434697e-06,
                2.5612834319655406e-06,
                1.994730672305658e-06,
                1.0129995807939249e-05
            ],
            [
                9.422445938642879e-07,
                4.222834953520201e-06,
                2.2603245669804887e-06,
                2.260323758835034e-06,
                1.9947301968963442e-06,
                1.0677026154376365e-06,
                1.5534971987760398e-06,
                9.422442568951678e-07,
                4.22283294007051e-06,
                3.726638395527247e-06
            ],
            [
                0.9999962733607161,
                0.9999785550439201,
                0.9999910603047625,
                0.999978555054151,
                0.9999898700066072,
                0.9999945777797382,
                0.9999957771665557,
                0.9999898700041902,
                0.9999921107392964,
                0.9999546021259709
            ],
            [
                0.9999724642957987,
                0.880797076413356,
                0.9999646437450925,
                0.9998766054694106,
                0.9999910603015658,
                0.9999546021151592,
                0.9996200155275549,
                0.9999339478475554,
                0.9999646437408781,
                0.999903897585457
            ],
            [
                1.2098652508056196e-06,
                6.144175333926503e-06,
                1.9947304345919157e-06,
                1.1478773597118638e-05,
                6.144174601208867e-06,
                1.3007123807727885e-05,
                1.994729959019382e-06,
                6.9622554187981796e-06,
                1.7603436329394601e-06,
                6.962257908753841e-06
            ],
            [
                0.3775406687981454,
                0.03732688680867724,
                0.8670357649558007,
                0.9997040427619297,
                0.26894141551050293,
                0.9991959141519173,
                0.9988304896188093,
                0.998073265027733,
                0.9982992773851793,
                0.999664649736374
            ],
            [
                4.785095064601411e-06,
                2.9023116390421582e-06,
                6.144176797998549e-06,
                4.785095633999427e-06,
                1.1478773581396351e-05,
                1.0129995805359584e-05,
                1.76034363298589e-06,
                1.3007130010543792e-05,
                2.902311292831027e-06,
                6.144176066051891e-06
            ],
            [
                0.999954602136796,
                0.9994472214560778,
                0.9999810748562736,
                0.9999910603036991,
                0.9999810748540188,
                0.9999646437536532,
                0.9999785550541569,
                0.9999339478712033,
                0.999959936317381,
                0.9999756997505924
            ],
            [
                0.999290329557928,
                0.9964063978771116,
                0.9988304899413768,
                0.9993736658309602,
                0.999876605425486,
                0.9996200154254749,
                0.9959298627692149,
                0.9968273174078752,
                0.9975273770874338,
                0.9988304894926109
            ],
            [
                1.7603430032374404e-06,
                1.3709568799106278e-06,
                6.475951069855719e-07,
                3.466326210810852e-07,
                1.2098662602267027e-06,
                1.06770312455264e-06,
                6.475949525434003e-07,
                6.475949525257309e-07,
                1.994730434735237e-06,
                1.760343632710514e-06
            ],
            [
                1.553498495189945e-06,
                1.9947299591354906e-06,
                9.422447061576466e-07,
                1.2098656834481918e-06,
                1.0677027426709671e-06,
                6.475945664940858e-07,
                1.5534975692259223e-06,
                1.209865971732878e-06,
                9.42244593835151e-07,
                7.338210678941723e-07
            ],
            [
                9.422448184681581e-07,
                3.7266392835764795e-06,
                2.5612831266608576e-06,
                3.288749849114211e-06,
                3.7266392835764795e-06,
                1.0129990977520359e-05,
                1.2098656834613962e-06,
                2.561282210562998e-06,
                6.962257904410026e-06,
                2.260323489266892e-06
            ],
            [
                0.9999417087414969,
                0.9998415637273135,
                0.9998204720562509,
                0.9999417087345085,
                0.9999546021259709,
                0.9997965730041514,
                0.9998766053813514,
                0.9993736659031736,
                0.9989677689428379,
                0.99937366583883
            ],
            [
                0.9999852610162777,
                0.9999930377412624,
                0.9999756997621831,
                0.9996646498527618,
                0.9999910603047638,
                0.9999785550592852,
                0.9999599363031364,
                0.9999832985741811,
                0.9999832985702006,
                0.9999898700114486
            ],
            [
                3.288750241204353e-06,
                3.7266397280960194e-06,
                3.288749849000549e-06,
                7.88926352407059e-06,
                1.7603434229576435e-06,
                8.315277302263348e-07,
                2.902313368860448e-06,
                1.9947301969471416e-06,
                3.7266392828579377e-06,
                2.9023119847359636e-06
            ],
            [
                1.9947301969471416e-06,
                1.0677024881004167e-06,
                4.222835457794923e-06,
                5.4222209070122355e-06,
                1.994729721396435e-06,
                6.962258738283349e-06,
                1.994729008056074e-06,
                2.5612828212676906e-06,
                2.2603251061664e-06,
                4.222835457526079e-06
            ],
            [
                0.9999038975396558,
                0.9999756997505828,
                0.9999832985721898,
                0.9997965730035773,
                0.9998601779598081,
                0.9999151889892834,
                0.9984988174293407,
                0.9999930377437543,
                0.9999546021151962,
                0.9999251537818603
            ],
            [
                1.5534973840984598e-06,
                1.3709578604495207e-06,
                4.4508505192091017e-07,
                1.5534971989258068e-06,
                1.5534971989427613e-06,
                5.715003107416295e-07,
                1.994729483535857e-06,
                7.889261643727018e-06,
                1.9947297214182054e-06,
                1.2098662603499435e-06
            ],
            [
                1.5534983099564047e-06,
                1.0677024881266355e-06,
                3.7266388397721442e-06,
                1.9947290080905435e-06,
                3.2887482809933958e-06,
                1.5534979397140412e-06,
                9.422444815409489e-07,
                2.9023133690637e-06,
                2.2603248366762157e-06,
                5.422218322940583e-06
            ],
            [
                6.962258738283349e-06,
                6.144172403827636e-06,
                1.4738983720715225e-05,
                2.144494839142443e-05,
                1.300713311112477e-05,
                1.6701423833011596e-05,
                7.88926634687567e-06,
                2.9023109466489728e-06,
                1.7603438424506017e-06,
                1.3007130012341915e-05
            ],
            [
                0.9999945777810306,
                0.9999910603026306,
                0.9999885212346119,
                0.9999974387177893,
                0.9999910602994336,
                0.999996273360716,
                0.9999952149043653,
                0.9999945777810307,
                0.9999930377412651,
                0.9999810748495053
            ],
            [
                7.338209804853638e-07,
                1.9947306725215466e-06,
                1.7603425837366772e-06,
                6.144176798255599e-06,
                4.785096205582214e-06,
                1.9947306725669014e-06,
                6.9622545877746946e-06,
                3.7266379507909478e-06,
                1.3709570433536782e-06,
                2.561281599914358e-06
            ],
            [
                0.9999898700102333,
                0.9999832985821435,
                0.9999869928730887,
                0.9999869928746379,
                0.9998415637455751,
                0.9999832985821441,
                0.999983298578157,
                0.9999687980774782,
                0.9999724643089085,
                0.999959936307828
            ],
            [
                4.785093924103951e-06,
                1.0129990973134934e-05,
                2.5612819052374947e-06,
                1.7603434230729168e-06,
                6.962259567749634e-06,
                6.962256244819412e-06,
                6.144175333837093e-06,
                3.288749065167371e-06,
                1.1478764016112805e-05,
                6.144172404028807e-06
            ],
            [
                1.3709576969627325e-06,
                1.9947297214182054e-06,
                1.5534971989809095e-06,
                2.902311984952413e-06,
                5.4222196154940574e-06,
                5.715006513900631e-07,
                8.315281267513512e-07,
                1.994729008074216e-06,
                1.5534984953199313e-06,
                1.7603440526662173e-06
            ],
            [
                0.999948557786439,
                0.9999869928699903,
                0.9999898700090224,
                0.9999869928699877,
                0.99997569976797,
                0.9999832985821445,
                0.9999810748540204,
                0.9999957771650456,
                0.9999724642958079,
                0.9998911030910572
            ],
            [
                6.144176793248695e-06,
                1.1478764012939119e-05,
                1.6701427809710842e-05,
                2.7535704207102113e-05,
                1.994729959019382e-06,
                1.892515725376564e-05,
                1.994729007936337e-06,
                1.4738983727256784e-05,
                2.9023109464641985e-06,
                2.4300243623139103e-05
            ],
            [
                2.9023126769762986e-06,
                1.370957533676711e-06,
                2.5612822106841303e-06,
                3.288748671151107e-06,
                3.7266392836984955e-06,
                1.553498495295912e-06,
                2.5612825160271407e-06,
                1.760342793583908e-06,
                2.9023119850527192e-06,
                2.5612831264675113e-06
            ],
            [
                1.994730434816876e-06,
                1.5534975692471157e-06,
                1.0677029972270124e-06,
                1.3709568798956654e-06,
                1.3709568799368123e-06,
                2.56128343152993e-06,
                9.422443691524936e-07,
                3.2887494564857185e-06,
                4.785093923516432e-06,
                2.9023119843875324e-06
            ],
            [
                0.9999885212291395,
                0.9999938558275973,
                0.9999938558261309,
                0.9999869928761903,
                0.9999952149072167,
                0.999993037741262,
                0.999975699753477,
                0.9999885212264037,
                0.9999967112513269,
                0.9999921107336548
            ],
            [
                1.994729721396435e-06,
                2.561282515820982e-06,
                1.3709567164326847e-06,
                1.5534971989568904e-06,
                7.338207180714596e-07,
                3.2887498493325602e-06,
                1.0677031245429291e-06,
                1.5534983101301911e-06,
                1.3709570433661467e-06,
                1.7603440526806268e-06
            ],
            [
                0.9999785550541502,
                0.999978555059262,
                0.999948557780265,
                0.9999810748562757,
                0.9998911030519679,
                0.9999756997592761,
                0.9999832985741784,
                0.9999810748562817,
                0.9999485577863476,
                0.9998911031038805
            ],
            [
                0.9999687980849267,
                0.9999869928653355,
                0.999992110740238,
                0.999925153790678,
                0.9999339478711082,
                0.999986992869988,
                0.9999945777810305,
                0.9999785550439283,
                0.9999832985841305,
                0.999373665982091
            ],
            [
                0.9984988179092108,
                0.9999599363126035,
                0.9999151889486693,
                0.9999038975393356,
                0.9998601779427456,
                0.9999599363030545,
                0.9999599363126541,
                0.9997965730516005,
                0.9999485577679776,
                0.99719907243654
            ],
            [
                0.9997388095673958,
                0.9999646437620067,
                0.999447221466272,
                0.9998415637298653,
                0.9999724643155222,
                0.9998766054404185,
                0.9999038975399495,
                0.9998415637087382,
                0.9999485577740962,
                0.8354835350552603
            ],
            [
                2.2603234893594005e-06,
                1.9947294836483373e-06,
                1.7603434230312906e-06,
                4.785094494402695e-06,
                1.3709570433786157e-06,
                1.7603425836678333e-06,
                3.28874945711983e-06,
                1.892514147046736e-05,
                4.785094494019719e-06,
                6.962257909323729e-06
            ],
            [
                0.99979657295416,
                0.999968798096133,
                0.9999724643089233,
                0.9999967112513267,
                0.9999339478239369,
                0.9999646437366568,
                0.9999785550490333,
                0.999968798092373,
                0.9999869928730887,
                0.9999687980886335
            ],
            [
                1.7603425836246058e-06,
                1.5534971987506078e-06,
                1.9947304346535984e-06,
                1.9947304346826253e-06,
                1.0677024880858507e-06,
                1.76034258364702e-06,
                8.31527730252048e-07,
                3.2887482810382622e-06,
                1.3709578605118645e-06,
                1.5534979396984994e-06
            ],
            [
                0.9999038975622977,
                0.9971990736155613,
                0.9999038975965836,
                0.999903897585285,
                0.999841563821455,
                0.9997965730048025,
                0.9998766053819869,
                0.9997388096617151,
                0.9999485577680127,
                0.9998415638410881
            ],
            [
                2.902312677007974e-06,
                1.5534971989696065e-06,
                9.422449308241022e-07,
                1.9947304345919157e-06,
                3.2887502413389517e-06,
                1.3007125359792008e-05,
                2.2603242976733308e-06,
                1.9947294834796172e-06,
                7.88925976126004e-06,
                1.1478765383679059e-05
            ],
            [
                1.5534971988495103e-06,
                4.222835457449267e-06,
                1.5534983099309726e-06,
                2.5612834318257725e-06,
                1.5534977545243671e-06,
                3.2887478887958082e-06,
                3.726641060956752e-06,
                1.370957370196196e-06,
                3.726638839395927e-06,
                1.9947306725451314e-06
            ],
            [
                2.9023119850527192e-06,
                1.3709575336530204e-06,
                7.338209804920378e-07,
                3.726640172337686e-06,
                6.144176798691468e-06,
                3.726640171842841e-06,
                3.7266397278180926e-06,
                4.785096775920397e-06,
                1.9947306725451314e-06,
                7.8892625849535e-06
            ],
            [
                6.144176065012512e-06,
                1.3709572067680694e-06,
                5.422217676397663e-06,
                1.5534975693205863e-06,
                5.422221554670048e-06,
                1.5534975693707442e-06,
                3.7266388395620047e-06,
                3.2887482810801374e-06,
                1.9947301970106386e-06,
                2.56128159999123e-06
            ],
            [
                0.9999417087484088,
                0.9999417087226031,
                0.9997965731011095,
                0.993307150063257,
                0.9971990727968147,
                0.9998911030727564,
                0.9998766054256727,
                0.999903897562685,
                0.9999038975393139,
                0.9149009480320036
            ],
            [
                2.260325375615501e-06,
                5.4222202613172164e-06,
                1.3709575336654889e-06,
                2.561283431627768e-06,
                7.88926540454376e-06,
                1.5534977544367678e-06,
                3.2887502413389517e-06,
                3.7266392836374875e-06,
                8.939693104410264e-06,
                7.88926258343236e-06
            ],
            [
                0.9999930377420909,
                0.9999967112509347,
                0.9999977396765106,
                0.9999970976876689,
                0.9999921107336536,
                0.9999967112493674,
                0.9999962733607161,
                0.9999921107364745,
                0.9999945777784447,
                0.999997097687669
            ],
            [
                5.422220261544064e-06,
                1.5534973841592143e-06,
                2.5612819052374947e-06,
                1.3709575336654889e-06,
                9.422447062094932e-07,
                4.222833444037741e-06,
                1.370957370247318e-06,
                7.338213303776118e-07,
                7.889263525103816e-06,
                3.2887486731252264e-06
            ],
            [
                0.9999151889387425,
                0.9978172839704719,
                0.9947798750222056,
                0.9579122741870426,
                0.9997965730518255,
                0.9993736657534638,
                0.9995694428653168,
                0.999373665899275,
                0.9982992779360395,
                0.9999417087136776
            ],
            [
                4.22283394762097e-06,
                6.962253759581752e-06,
                1.3007133114602719e-05,
                8.939693105272102e-06,
                6.962256247998122e-06,
                1.0129994602057158e-05,
                8.939699500327152e-06,
                8.939696302457574e-06,
                2.561281905293402e-06,
                1.147876675341695e-05
            ],
            [
                1.2098653949534047e-06,
                2.2603251060738913e-06,
                4.222833947498071e-06,
                1.1478766751997141e-05,
                2.902313022952668e-06,
                1.9947306723745965e-06,
                1.0677031244914623e-06,
                2.9023112927307205e-06,
                8.939699487513427e-06,
                4.222834450950777e-06
            ],
            [
                4.22283294098842e-06,
                1.5534971984821574e-06,
                6.144175331590693e-06,
                2.2603253755476615e-06,
                1.9947299591354906e-06,
                1.2098662604126641e-06,
                1.7603436328994344e-06,
                3.288748280891699e-06,
                1.0677028699955933e-06,
                3.2887494552234785e-06
            ],
            [
                5.4222196154940574e-06,
                2.4300252285704095e-05,
                6.962259567914269e-06,
                2.561282515783711e-06,
                1.6701415859504925e-05,
                6.1441738667590205e-06,
                2.1444950954750122e-05,
                2.5612815999679353e-06,
                2.144495860197702e-05,
                6.962259563975707e-06
            ],
            [
                1.5534981249164537e-06,
                1.5534979392265922e-06,
                3.2887482810382622e-06,
                1.370957533625589e-06,
                1.760344052491706e-06,
                1.7603430034311638e-06,
                1.994729959160889e-06,
                4.785095064819011e-06,
                1.300713466420736e-05,
                4.7850967757637256e-06
            ],
            [
                1.0129990977520359e-05,
                2.902313368897403e-06,
                1.5534981248528732e-06,
                4.7850956342431385e-06,
                4.222832940577472e-06,
                8.93970056399654e-06,
                3.2887498493325602e-06,
                2.9023130228840374e-06,
                6.962253758916883e-06,
                2.5612819052072116e-06
            ],
            [
                7.889262583633267e-06,
                1.7603425836870455e-06,
                1.9947301969217434e-06,
                3.2887506333812835e-06,
                5.422217030209884e-06,
                2.2603242977555607e-06,
                5.422217676575195e-06,
                4.222834450743383e-06,
                2.561283126535066e-06,
                1.1478766755734576e-05
            ],
            [
                3.2887502409830123e-06,
                5.422221554482653e-06,
                1.994729483261914e-06,
                1.370956716519966e-06,
                7.889260700462896e-06,
                3.2887490653109436e-06,
                3.726637950241874e-06,
                6.9622537576631295e-06,
                7.8892625810789e-06,
                1.2098652505118222e-06
            ],
            [
                0.9999869928715585,
                0.999933947839643,
                0.9999151889183892,
                0.9999910603026393,
                0.9998766054569577,
                0.9999898700114374,
                0.9998415638216255,
                0.9999945777797379,
                0.9999417087275915,
                0.9995121428237439
            ],
            [
                2.902311984915459e-06,
                5.422218969306048e-06,
                2.260323758319041e-06,
                4.22283344433731e-06,
                1.2098659718187066e-06,
                6.962255418063657e-06,
                6.962253759043525e-06,
                6.144176796947993e-06,
                4.785093923847183e-06,
                2.902312330849511e-06
            ],
            [
                2.260324567227179e-06,
                1.2098652507583041e-06,
                9.422444815563743e-07,
                2.9023109468548636e-06,
                3.2887498493983645e-06,
                4.785093923690512e-06,
                2.5612825157045092e-06,
                1.5534979397267575e-06,
                1.3709576970824327e-06,
                2.2603253755949437e-06
            ],
            [
                1.9947301970287804e-06,
                6.144177531007026e-06,
                2.260324567054496e-06,
                1.7603432131631714e-06,
                4.222834954514924e-06,
                8.31528424151477e-07,
                1.5534981249023245e-06,
                4.785093923916815e-06,
                1.2098652507583041e-06,
                1.7603438427660027e-06
            ],
            [
                4.785094494402695e-06,
                5.42222155240158e-06,
                4.222834450950777e-06,
                1.5534979395798164e-06,
                1.2098656834922064e-06,
                8.939697368663308e-06,
                4.785096204650886e-06,
                3.7266406155693803e-06,
                2.561282515820982e-06,
                5.422217676101776e-06
            ],
            [
                0.9999785550515897,
                0.9999852610215476,
                0.999981074854028,
                0.9999921107392973,
                0.9999852610233023,
                0.9999810748427408,
                0.999972464312199,
                0.9999957771670598,
                0.9999810748450095,
                0.9999251537728095
            ],
            [
                6.144176798132662e-06,
                4.785095635296322e-06,
                3.726637951079042e-06,
                1.2098656834922064e-06,
                2.902312330759764e-06,
                2.2603248367173307e-06,
                2.260323758806253e-06,
                2.260323758882316e-06,
                4.222832940715735e-06,
                2.9023112930659533e-06
            ],
            [
                3.7266410608720178e-06,
                2.5612812944118885e-06,
                1.7603427934462202e-06,
                7.889262584350785e-06,
                2.5612831263929686e-06,
                1.994729245555571e-06,
                2.2603253755476615e-06,
                4.222832437186393e-06,
                3.726637951170554e-06,
                2.260324836624822e-06
            ],
            [
                3.2887478890769702e-06,
                1.3709567164326847e-06,
                1.0677032518700286e-06,
                1.2098661161602417e-06,
                3.2887494567788457e-06,
                9.422447062030659e-07,
                2.902313368963394e-06,
                1.994729483666479e-06,
                1.7603432132784448e-06,
                1.370957860466977e-06
            ],
            [
                0.9999724643023473,
                0.9999785550413729,
                0.9999251537371739,
                0.9999938558239336,
                0.9999687980997979,
                0.5621765008857982,
                0.9999724642957772,
                0.9999599363173789,
                0.9999339478632352,
                0.9999810748472499
            ],
            [
                4.222833443968609e-06,
                4.785096775998733e-06,
                5.422221551060224e-06,
                5.422219614438727e-06,
                1.6701415866188347e-05,
                1.670142781086525e-05,
                3.28874945711983e-06,
                2.902312330849511e-06,
                7.889263524443698e-06,
                2.9023126767360923e-06
            ],
            [
                0.9999785550413904,
                0.999954602126061,
                0.9998204720556789,
                0.9996646497319738,
                0.9999251537460951,
                0.9999485577619253,
                0.9998911030390449,
                0.9998415637647566,
                0.029312232288295083,
                0.6513548578981939
            ],
            [
                0.999995777168066,
                0.9999921107364749,
                0.9999646437493034,
                0.9999921107402371,
                0.9999869928715408,
                0.9999938558224687,
                0.9999980052705164,
                0.9999898700066062,
                0.999996711251327,
                0.9999930377437507
            ],
            [
                1.0677027426262978e-06,
                1.9947301969471416e-06,
                9.422444815628016e-07,
                1.0677032518316716e-06,
                8.3152773023541e-07,
                2.5612819051722694e-06,
                1.994729245722476e-06,
                6.47594566560052e-07,
                4.785092782188013e-06,
                8.31528027618756e-07
            ],
            [
                3.2887498489407274e-06,
                6.9622554171645e-06,
                1.1478772218380856e-05,
                5.422218968477564e-06,
                1.9947290072505727e-06,
                1.7603438422904998e-06,
                8.93970056424046e-06,
                6.1441738665802026e-06,
                2.1444956060182448e-05,
                2.1444940719392548e-05
            ],
            [
                1.9947304347098384e-06,
                9.422442568951678e-07,
                4.222832940834793e-06,
                1.2098655392574583e-06,
                1.5534981249291695e-06,
                1.3709570433387154e-06,
                8.315280276505193e-07,
                1.760343632920248e-06,
                1.553497198908852e-06,
                3.288749456964293e-06
            ],
            [
                0.02931223303026554,
                0.9986749775569067,
                0.9999339478334528,
                0.9999038975396431,
                0.9998766053673042,
                0.9998911031171188,
                0.2018132150593341,
                0.9995694429823548,
                0.2689414096510108,
                0.9995694429761923
            ],
            [
                2.902311638654133e-06,
                1.760343632920248e-06,
                1.760344052650207e-06,
                1.2098662603862553e-06,
                1.7603434231385591e-06,
                2.9023133679867307e-06,
                1.760343842833246e-06,
                2.2603248365960415e-06,
                2.260323489435463e-06,
                3.2887478889962107e-06
            ],
            [
                7.889260701926633e-06,
                2.5612834315811786e-06,
                3.7266388395620047e-06,
                3.72663839473414e-06,
                4.222832940715735e-06,
                2.5612812945260317e-06,
                6.144172401145369e-06,
                2.9023112926251358e-06,
                9.422450431732037e-07,
                2.902311292960369e-06
            ],
            [
                1.370957533554517e-06,
                1.994729245842213e-06,
                2.5612819050161955e-06,
                3.288748673035494e-06,
                1.3709578605243332e-06,
                2.260324028306588e-06,
                2.9023112931688987e-06,
                1.994729008074216e-06,
                1.370957206783032e-06,
                2.5612815999423112e-06
            ],
            [
                4.785095635017795e-06,
                2.561282210590951e-06,
                1.9947290080343035e-06,
                2.2603253754284284e-06,
                4.785094489232522e-06,
                9.422447062030659e-07,
                1.5534977545603963e-06,
                1.2098652508144226e-06,
                5.043474683156057e-07,
                5.422218969217281e-06
            ],
            [
                0.9999852610162727,
                0.9999885212305081,
                0.9999646437450891,
                0.9999646437450858,
                0.9999930377404319,
                0.9999885212291382,
                0.9999898700090223,
                0.9999832985701962,
                0.9999810748427396,
                0.9999599362982811
            ],
            [
                3.2887498491620677e-06,
                6.962258739169842e-06,
                3.288748280658394e-06,
                5.422218322851817e-06,
                4.78509563509613e-06,
                1.5534981249164537e-06,
                3.7266406160032166e-06,
                4.7850927830148924e-06,
                3.726637951126493e-06,
                6.962255418658875e-06
            ],
            [
                1.9947301968673173e-06,
                2.561282515853595e-06,
                7.889261643382609e-06,
                1.553498310118888e-06,
                2.9023126767836054e-06,
                1.5534981248330927e-06,
                2.561282210618905e-06,
                2.260323758806253e-06,
                2.260324567087388e-06,
                2.9023126769050284e-06
            ],
            [
                3.7266383950934104e-06,
                3.2887494572873306e-06,
                1.5534979397394734e-06,
                2.260323489410794e-06,
                4.7850933535659155e-06,
                6.9622537570932415e-06,
                6.144173868781898e-06,
                3.726641060244989e-06,
                3.2887482810382622e-06,
                5.422220906065395e-06
            ],
            [
                0.9996646497308322,
                0.9996646499776085,
                0.99995993629351,
                0.9999756997592913,
                0.9999417087414828,
                0.9999485578047742,
                0.9999756997621788,
                0.9999687980774769,
                0.9999957771670593,
                0.9999339478790235
            ]
        ]
    },
    {
        "q_id": "10372_mmlu_computer science",
        "cot_ids": [
            0,
            2,
            3,
            4,
            5,
            9,
            10,
            11,
            15,
            17,
            18,
            19,
            23,
            25,
            26,
            28,
            29,
            30,
            31,
            34,
            35,
            37,
            39,
            40,
            41,
            42,
            43,
            44,
            45,
            47,
            48,
            49,
            50,
            51,
            52,
            54,
            56,
            57,
            59,
            60,
            61,
            62,
            63,
            65,
            66,
            67,
            68,
            69,
            70,
            71,
            72,
            76,
            78,
            79,
            80,
            81,
            82,
            83,
            84,
            85,
            86,
            87,
            88,
            89,
            90,
            95,
            98,
            99,
            100,
            101,
            102,
            103,
            106,
            107,
            108,
            109,
            111,
            112,
            113,
            114,
            116,
            117,
            118,
            119,
            120,
            121,
            122,
            123,
            125,
            127
        ],
        "rewards": [
            [
                3.120192250393883e-05,
                0.9995694430154095,
                NaN,
                4.539789027816371e-05,
                4.450852111120808e-07,
                3.726637951170554e-06,
                NaN,
                0.9999785550592828,
                0.9992903297211863,
                7.484621815546239e-05
            ],
            [
                0.0003799845687877436,
                0.9992903297556541,
                0.999512142766495,
                0.0001088969218151312,
                0.00026119044067500106,
                0.00012339455960135915,
                1.6701423833011596e-05,
                0.9959298627125871,
                3.5356250681935664e-05,
                1.1478765386894505e-05
            ],
            [
                4.5397879426550244e-05,
                NaN,
                8.939700565102295e-06,
                5.144223201941656e-05,
                NaN,
                NaN,
                NaN,
                1.7603432132624344e-06,
                4.785096203884934e-06,
                NaN
            ],
            [
                1.994730434778778e-06,
                0.9149009596336303,
                1.7603434231241496e-06,
                1.3709572066084694e-06,
                1.4738978433261398e-05,
                NaN,
                0.9796676449506523,
                8.939695237162584e-06,
                4.222832940715735e-06,
                1.3709578604108674e-06
            ],
            [
                NaN,
                1.067703251864202e-06,
                6.475945665900901e-07,
                3.5356238064371654e-05,
                5.829126548725762e-05,
                4.222834450950777e-06,
                1.3007130003351296e-05,
                NaN,
                4.450851580402549e-07,
                0.9959298615309548
            ],
            [
                5.422217029943586e-06,
                0.9998766054694268,
                0.9999756997594763,
                3.1201915028958143e-05,
                1.4738980210687712e-05,
                0.9999151889486261,
                2.7535697652678035e-05,
                0.9991959139659744,
                0.9998601779429858,
                0.9999810748472484
            ],
            [
                1.0129989767695646e-05,
                5.422220908481809e-06,
                4.785096204650886e-06,
                8.939696300376156e-06,
                1.4738976697229395e-05,
                1.370956716481313e-06,
                NaN,
                7.484620924247882e-05,
                9.610243723107534e-05,
                1.067702615417244e-06
            ],
            [
                4.22283193338827e-06,
                1.0129992185539456e-05,
                5.715002426439334e-07,
                1.1478770855741353e-05,
                1.5534981249291695e-06,
                4.785092783210732e-06,
                1.2098658277264215e-06,
                0.0002305067928333525,
                0.9990889487939433,
                1.370956879949281e-06
            ],
            [
                2.902312677104321e-06,
                9.422445938917108e-07,
                NaN,
                2.1444945844872185e-05,
                6.962257908487893e-06,
                NaN,
                2.7535704222728874e-05,
                1.4738987241172537e-05,
                8.939700557589678e-06,
                3.9278624708775595e-07
            ],
            [
                2.1444950965906214e-05,
                9.422442569028803e-07,
                1.892514597563747e-05,
                NaN,
                1.2098652508056196e-06,
                NaN,
                5.422220258565466e-06,
                1.2098652507847127e-06,
                5.829127247939563e-05,
                5.144221971634078e-05
            ],
            [
                1.7603430033799313e-06,
                1.8925145979561802e-05,
                2.9023123310290063e-06,
                NaN,
                1.5534975693488444e-06,
                4.2228339475595195e-06,
                1.147876675686207e-05,
                2.430025231469984e-05,
                2.260323758806253e-06,
                2.753568452790729e-05
            ],
            [
                1.670142781025767e-05,
                6.475947209918244e-07,
                2.144495607336692e-05,
                4.450852641717689e-07,
                3.2887498493983645e-06,
                4.222833444506298e-06,
                2.260324027864602e-06,
                1.147877222485351e-05,
                2.9023116388547446e-06,
                NaN
            ],
            [
                0.9986749774589319,
                1.3007123808532309e-05,
                5.422220908481809e-06,
                2.9023119847359636e-06,
                1.0129995806888955e-05,
                0.9999151889901571,
                6.962258738574625e-06,
                1.0129989768027317e-05,
                0.9995121429477215,
                6.605217600172698e-05
            ],
            [
                2.9023123310580418e-06,
                1.3007133110746217e-05,
                4.539788485433845e-05,
                NaN,
                1.6701415849176e-05,
                NaN,
                3.726640172537657e-06,
                2.4300246523773334e-05,
                1.5534979397140412e-06,
                5.422220907909759e-06
            ],
            [
                2.753568124769226e-05,
                1.4738985479697128e-05,
                0.9978172831347809,
                0.9998204720341847,
                0.9999687980850845,
                0.9993736658460441,
                2.753568124348506e-05,
                0.0017007222260363893,
                0.9999485577986525,
                0.9999151889386432
            ],
            [
                0.02297737070451605,
                0.9959298630108265,
                3.2887486731641103e-06,
                0.9990889488517996,
                4.785095064148803e-06,
                NaN,
                NaN,
                8.93970056424046e-06,
                3.2887498492936755e-06,
                NaN
            ],
            [
                NaN,
                7.484620932198124e-05,
                NaN,
                0.9999898700078323,
                NaN,
                0.9999151889284097,
                0.9997694932315268,
                8.481107156496966e-05,
                1.1478768124324254e-05,
                0.9996200154717724
            ],
            [
                NaN,
                4.222832941034507e-06,
                NaN,
                2.4300243572661777e-05,
                5.422217676299034e-06,
                1.8925143720384422e-05,
                1.0677032518748838e-06,
                1.4738981971250963e-05,
                5.8291272239779075e-05,
                0.9999756997477747
            ],
            [
                1.5534971989907999e-06,
                2.902313022952668e-06,
                NaN,
                2.1444950958338794e-05,
                5.829129331162062e-05,
                3.2887506332466845e-06,
                6.475947982002148e-07,
                NaN,
                1.994729483680993e-06,
                6.1441760654483806e-06
            ],
            [
                NaN,
                1.209866116170145e-06,
                7.889265404959923e-06,
                2.5612831265909735e-06,
                5.715003788853339e-07,
                7.889265406438011e-06,
                0.9986749778859543,
                4.222835457733473e-06,
                NaN,
                1.994729959160889e-06
            ],
            [
                0.9999977396765105,
                0.8354835371034368,
                3.120192623972722e-05,
                NaN,
                6.605213671058347e-05,
                1.300713001414004e-05,
                4.0063687367153544e-05,
                5.144223201941656e-05,
                3.726640616748873e-06,
                2.1444958627955892e-05
            ],
            [
                6.47594566597747e-07,
                2.430023492663099e-05,
                7.889265406151004e-06,
                8.93970054672728e-06,
                1.012998735687278e-05,
                NaN,
                1.670142780381727e-05,
                5.8291272389486416e-05,
                1.0677029972993568e-06,
                0.00012339454450738518
            ],
            [
                7.338208930355202e-07,
                0.9991959141638895,
                0.999512142889394,
                0.9996200154716175,
                2.9023126770343703e-06,
                8.315277302747361e-07,
                8.939698428917621e-06,
                NaN,
                8.31528424162821e-07,
                0.9984988175677177
            ],
            [
                NaN,
                0.9997694932594148,
                NaN,
                2.9023130229209922e-06,
                1.4738988996240646e-05,
                7.889262584809997e-06,
                4.5397890221682726e-05,
                NaN,
                0.0001584362349852524,
                3.7266410608245674e-06
            ],
            [
                NaN,
                2.2603242977802297e-06,
                NaN,
                7.889261642134126e-06,
                3.7266410608245674e-06,
                3.1201911361276113e-05,
                1.1478766752372975e-05,
                1.3007125362323574e-05,
                1.3007130011655787e-05,
                3.7266392838544054e-06
            ],
            [
                2.430023492769181e-05,
                7.484620913738319e-05,
                NaN,
                8.481105132208768e-05,
                1.8925148239290237e-05,
                1.0129995809431767e-05,
                4.006369683999709e-05,
                6.605212099288318e-05,
                NaN,
                NaN
            ],
            [
                1.5534973840984598e-06,
                0.9968273179012325,
                5.422217676397663e-06,
                0.9980732649569902,
                3.2887486732358968e-06,
                0.99993394784079,
                1.2098656834481918e-06,
                0.9999038975969765,
                1.2098658276862581e-06,
                NaN
            ],
            [
                3.726639284050988e-06,
                NaN,
                2.430024361951464e-05,
                1.4738983724146862e-05,
                2.9023109469023766e-06,
                3.288750241473551e-06,
                2.9023123310580418e-06,
                5.829125151104201e-05,
                NaN,
                0.00023050671407207578
            ],
            [
                NaN,
                1.994730196992497e-06,
                NaN,
                6.962258739169842e-06,
                NaN,
                8.93969417167259e-06,
                NaN,
                2.902311984683171e-06,
                1.4738981968060613e-05,
                NaN
            ],
            [
                NaN,
                NaN,
                6.962256249682458e-06,
                2.902312331125353e-06,
                NaN,
                NaN,
                1.3007123812057577e-05,
                1.067703124384645e-06,
                0.9996646498118714,
                NaN
            ],
            [
                2.430024362932722e-05,
                3.120191136774608e-05,
                2.4300240704824895e-05,
                1.7603425837062577e-06,
                1.4738978457041559e-05,
                1.760343423160973e-06,
                1.2098662603961589e-06,
                3.1201900178208404e-05,
                NaN,
                4.785095635296322e-06
            ],
            [
                4.222832941034507e-06,
                3.288747889038086e-06,
                7.889262583231455e-06,
                1.7603427935678977e-06,
                1.892515722725915e-05,
                3.5356238040705445e-05,
                8.481103097369854e-05,
                9.422443692330485e-07,
                1.3007133110746217e-05,
                0.9980732655390504
            ],
            [
                5.422219615582823e-06,
                1.2098661161789477e-06,
                NaN,
                3.2887482811220126e-06,
                6.9622579086271995e-06,
                0.9982992777423391,
                0.8670357683915538,
                8.315280276505193e-07,
                3.7266383951544193e-06,
                4.785094492661896e-06
            ],
            [
                1.7603425837366772e-06,
                NaN,
                1.0129987354108855e-05,
                NaN,
                8.939698434332555e-06,
                1.7603434231097403e-06,
                0.9999038975508774,
                0.9997040429526017,
                NaN,
                0.00010889690901406786
            ],
            [
                NaN,
                5.144223199097187e-05,
                2.561282515914161e-06,
                0.9999687980999475,
                0.9149009596336303,
                2.902311292960369e-06,
                4.5397884829235786e-05,
                1.5534975693347152e-06,
                NaN,
                NaN
            ],
            [
                NaN,
                NaN,
                1.6701423826206655e-05,
                NaN,
                0.9999898700078271,
                NaN,
                NaN,
                0.9999952149066464,
                5.144219521574275e-05,
                NaN
            ],
            [
                0.46879062662624377,
                0.06754668410060376,
                0.998073265128474,
                3.2887502411564953e-06,
                2.5612819052374947e-06,
                3.466327863945479e-07,
                7.338208054962546e-07,
                NaN,
                0.9796676482898262,
                2.6995787399269284e-07
            ],
            [
                NaN,
                0.022977371582637088,
                8.315277302747361e-07,
                6.144176797439742e-06,
                3.2887482795576732e-06,
                2.7535700899738242e-05,
                3.2887498492518007e-06,
                NaN,
                NaN,
                0.7310585903489891
            ],
            [
                1.892515496381185e-05,
                1.3709578605355551e-06,
                6.475950297906914e-07,
                1.4738976694494812e-05,
                6.9622537584863015e-06,
                4.0063692137387875e-05,
                9.422442569097361e-07,
                6.962254589433702e-06,
                8.939700566565793e-06,
                6.605216034072351e-05
            ],
            [
                NaN,
                9.422444815409489e-07,
                1.3709572066782945e-06,
                1.7603425836005905e-06,
                1.0677028699955933e-06,
                NaN,
                0.5312093733737563,
                1.760343842833246e-06,
                9.422447061456491e-07,
                3.0590219045271286e-07
            ],
            [
                6.605216817242619e-05,
                1.4738980200124708e-05,
                6.6052176080539e-05,
                0.0004878571453185021,
                6.605216031765658e-05,
                0.997817283846741,
                NaN,
                2.5612828207295832e-06,
                1.6701417850314193e-05,
                2.4300243591756525e-05
            ],
            [
                0.9997694933676536,
                6.605212096501064e-05,
                1.8925145971093502e-05,
                8.939700566435704e-06,
                5.043472879481655e-07,
                5.829127225207798e-05,
                NaN,
                7.338208055613267e-07,
                8.48110306528434e-05,
                6.60521209179157e-05
            ],
            [
                1.3007128454504315e-05,
                7.88926163375351e-06,
                1.3007128462477575e-05,
                1.4738988996240646e-05,
                0.9940889304952565,
                2.7535681222849733e-05,
                0.8519528000888386,
                0.5621765008857982,
                NaN,
                1.4738978451920916e-05
            ],
            [
                1.9947306726358406e-06,
                0.9992903294928724,
                2.260323758835034e-06,
                3.1201900191715896e-05,
                NaN,
                0.00023050676911710389,
                4.006368739659403e-05,
                9.422447062202052e-07,
                4.53978847760578e-05,
                NaN
            ],
            [
                6.475950297709604e-07,
                NaN,
                1.8925143720384422e-05,
                4.222832940423847e-06,
                1.9947292458603553e-06,
                1.9947306725215466e-06,
                4.222835458002318e-06,
                1.892515273885085e-05,
                NaN,
                NaN
            ],
            [
                7.889266345770692e-06,
                1.9947299592407137e-06,
                NaN,
                1.370957370236096e-06,
                4.7850933535659155e-06,
                3.7266379509129646e-06,
                3.726639727526609e-06,
                NaN,
                4.785096776068365e-06,
                4.222832437324657e-06
            ],
            [
                0.9991959139585853,
                1.0129995805691255e-05,
                1.8925150490826034e-05,
                7.889263519736775e-06,
                0.999959936312614,
                2.260324567177841e-06,
                NaN,
                1.2098652507583041e-06,
                5.043475885453117e-07,
                1.0129992182443859e-05
            ],
            [
                3.7266392835086923e-06,
                3.7266379506485954e-06,
                5.422220262037209e-06,
                2.2603248365960415e-06,
                5.4222209070122355e-06,
                6.144176065828368e-06,
                7.889259762307618e-06,
                NaN,
                0.9999546021205883,
                1.0129995809044816e-05
            ],
            [
                0.9993736657620259,
                NaN,
                1.8925141462377723e-05,
                NaN,
                6.144172403928222e-06,
                2.5612822106421996e-06,
                0.9998601779096806,
                1.3709575336654889e-06,
                2.7535681218241846e-05,
                NaN
            ],
            [
                8.315284241174449e-07,
                0.9996200155689773,
                7.889262584006375e-06,
                2.5612822106421996e-06,
                1.553497198908852e-06,
                NaN,
                NaN,
                1.7603434230312906e-06,
                2.56128282131428e-06,
                7.48462628538078e-05
            ],
            [
                1.4738981969615573e-05,
                1.4738980212296288e-05,
                1.1478764019557924e-05,
                NaN,
                4.78509278207486e-06,
                NaN,
                5.715002426460124e-07,
                2.144494074076854e-05,
                5.1442213522136976e-05,
                NaN
            ],
            [
                2.260324836696773e-06,
                2.260325106045111e-06,
                0.9998204719912955,
                0.9997040428826465,
                2.7535684524701807e-05,
                3.1201918750443584e-05,
                6.605216812869513e-05,
                0.9998601778599254,
                NaN,
                0.999959936298279
            ],
            [
                0.9999485577925075,
                2.5612819053586272e-06,
                NaN,
                2.5612816000331606e-06,
                2.430025230532926e-05,
                NaN,
                1.8925148231579266e-05,
                NaN,
                0.9997040427959859,
                NaN
            ],
            [
                0.9996646498114128,
                0.00010889694815087969,
                0.9999869928746771,
                NaN,
                1.209865827698362e-06,
                5.144223808300156e-05,
                2.753570094621784e-05,
                4.539789026296999e-05,
                NaN,
                0.00023050676962013515
            ],
            [
                NaN,
                0.9998601778594738,
                0.9991959138983503,
                5.422218969384951e-06,
                7.338210679755959e-07,
                0.9996646500118544,
                1.0129988561077228e-05,
                0.9995694429666103,
                6.47594566597747e-07,
                0.9996200154756637
            ],
            [
                NaN,
                4.006370647870077e-05,
                9.422442569097361e-07,
                1.1478766755233466e-05,
                9.42244818532859e-07,
                NaN,
                2.902311292920774e-06,
                1.5534984953298217e-06,
                7.889265405333033e-06,
                1.7603430033158905e-06
            ],
            [
                5.1442238137271045e-05,
                1.3007123809289414e-05,
                3.7266397281434697e-06,
                6.9622579092224155e-06,
                NaN,
                7.338212429504183e-07,
                NaN,
                2.260324836696773e-06,
                5.8291244621538684e-05,
                8.315283250305684e-07
            ],
            [
                NaN,
                8.939696300636336e-06,
                1.300712688791288e-05,
                8.939693106873817e-06,
                1.6701419841852803e-05,
                2.3823696679230424e-07,
                3.1201926212712214e-05,
                3.288750633518874e-06,
                5.043476486902204e-07,
                4.450852111120808e-07
            ],
            [
                4.222834450820197e-06,
                NaN,
                6.962253759271479e-06,
                3.2887506334201674e-06,
                NaN,
                2.2603242977802297e-06,
                1.3007123809644304e-05,
                5.144221974216556e-05,
                1.3007130013572209e-05,
                2.9023130224960116e-06
            ],
            [
                3.28874945711983e-06,
                3.1201900207380036e-05,
                5.1442231925848494e-05,
                NaN,
                7.889259758935282e-06,
                NaN,
                NaN,
                5.422220261070644e-06,
                2.7535687793096995e-05,
                1.3007123797838208e-05
            ],
            [
                2.9023123306594577e-06,
                0.9975273768893076,
                2.1444956033111377e-05,
                NaN,
                3.535625485323523e-05,
                6.475945665258909e-07,
                NaN,
                3.1201922508819695e-05,
                5.829125110433017e-05,
                0.9997040428312477
            ],
            [
                0.9933071475309394,
                2.902313022802209e-06,
                0.9990889489214176,
                4.2228344511197656e-06,
                0.9971990734152643,
                4.785094494185095e-06,
                1.2098662603356388e-06,
                8.93969417167259e-06,
                0.9859363749841851,
                2.260324836624822e-06
            ],
            [
                1.5534984952662413e-06,
                NaN,
                6.962254589433702e-06,
                1.2098658276862581e-06,
                0.9989677687568904,
                1.994729245693449e-06,
                1.9947292456607935e-06,
                0.9996646498131788,
                0.9990889488772838,
                5.144223178250223e-05
            ],
            [
                1.1478769491306371e-05,
                2.2603242977802297e-06,
                NaN,
                0.3486451488696663,
                9.42244256915735e-07,
                8.939698433584547e-06,
                4.450848927637999e-07,
                0.9999724643056453,
                1.8925157255280296e-05,
                9.42244256915735e-07
            ],
            [
                2.260323489410794e-06,
                3.2887486725569194e-06,
                3.726639727750306e-06,
                9.422443691653483e-07,
                1.2098656834834034e-06,
                0.9995694428908438,
                1.5534975692259223e-06,
                1.7603432131855856e-06,
                0.00017952796290034474,
                1.5534981247907057e-06
            ],
            [
                1.994730196992497e-06,
                7.484623610449812e-05,
                3.726639727994339e-06,
                3.5356267511063545e-05,
                1.9947301970106386e-06,
                4.006367783266211e-05,
                5.422217030032353e-06,
                1.9947292458004866e-06,
                2.9023116389761676e-06,
                2.5612834317908303e-06
            ],
            [
                9.422450431860582e-07,
                1.5534973841309562e-06,
                2.1444945847446664e-05,
                1.5534979396984994e-06,
                4.22283394786293e-06,
                NaN,
                0.00013982202382113886,
                4.539787938262061e-05,
                1.9947299592570416e-06,
                8.481101084374256e-05
            ],
            [
                NaN,
                5.829127922428409e-05,
                0.9998415637646713,
                0.9999417087136648,
                0.9980732649807204,
                NaN,
                0.9986749777493132,
                5.144219523595344e-05,
                0.9999546021377251,
                0.9840936080549317
            ],
            [
                2.561281294369958e-06,
                6.962259567217739e-06,
                1.1478773598329648e-05,
                NaN,
                2.144495608046625e-05,
                NaN,
                3.2887494569044713e-06,
                3.120190385315366e-05,
                NaN,
                1.1478769493331685e-05
            ],
            [
                2.753568451618723e-05,
                1.6701417845878833e-05,
                7.889260704818233e-06,
                NaN,
                2.5612828210277558e-06,
                3.5356250696598434e-05,
                1.8925145983348442e-05,
                NaN,
                1.7603436330091044e-06,
                5.144220744545534e-05
            ],
            [
                3.120191131836996e-05,
                NaN,
                3.2887494572873306e-06,
                5.422218322348809e-06,
                3.120190391705884e-05,
                1.2098653950315304e-06,
                4.2228349547223175e-06,
                7.889266334534346e-06,
                NaN,
                1.7603430034439723e-06
            ],
            [
                1.0129992184268048e-05,
                8.93969310662177e-06,
                0.00020342704428034445,
                0.015906393956879948,
                1.473898196677375e-05,
                0.9999038975414428,
                1.8925157255280296e-05,
                1.2098661161602417e-06,
                NaN,
                1.2098662604049616e-06
            ],
            [
                NaN,
                0.9998415637465916,
                0.9999151889687863,
                5.422217030209884e-06,
                3.2887502412970765e-06,
                0.9989677691004548,
                NaN,
                0.4378234991142019,
                0.9996646498183303,
                NaN
            ],
            [
                0.7549149813536518,
                1.994729959160889e-06,
                1.0129989769722525e-05,
                4.785095634460739e-06,
                3.7266406165827946e-06,
                3.7266388390502134e-06,
                2.56128129449109e-06,
                NaN,
                1.3007126908307386e-05,
                9.610244917849409e-05
            ],
            [
                3.726639283806955e-06,
                NaN,
                1.2098656834834034e-06,
                5.715007195228928e-07,
                4.5397884720898016e-05,
                NaN,
                NaN,
                NaN,
                NaN,
                8.939693106020111e-06
            ],
            [
                1.3709570432888404e-06,
                0.5926665999540698,
                0.9859363751520615,
                0.9840936057515531,
                4.222832437443716e-06,
                0.9990889490041224,
                3.5356263276609686e-05,
                0.9525741242979906,
                2.1444958595111732e-05,
                0.9994472213950416
            ],
            [
                0.9982992775023879,
                2.260325375520937e-06,
                3.726637951126493e-06,
                0.9999898700078222,
                1.553497939554384e-06,
                0.9996200155166548,
                0.00020342692247890746,
                4.2228329408924035e-06,
                0.9982992777211901,
                6.1441731363550164e-06
            ],
            [
                1.4738978456719842e-05,
                NaN,
                1.8925143722381014e-05,
                NaN,
                6.9622579086271995e-06,
                1.7603427935518875e-06,
                3.726640616748873e-06,
                8.481104112136025e-05,
                6.96225956837018e-06,
                1.0129989771823107e-05
            ],
            [
                4.22283294098842e-06,
                NaN,
                NaN,
                NaN,
                NaN,
                1.9947299592570416e-06,
                2.1444945849006956e-05,
                2.561283431916622e-06,
                5.422220908314139e-06,
                2.1444948392516633e-05
            ],
            [
                2.6995771309210433e-07,
                NaN,
                4.222832940646604e-06,
                NaN,
                1.1478768123551712e-05,
                4.785096205930373e-06,
                7.889263525103816e-06,
                6.14417240005011e-06,
                1.892515500450102e-05,
                3.7266410609940346e-06
            ],
            [
                1.4738976698757546e-05,
                5.422219612998742e-06,
                5.422217030362759e-06,
                2.430023493485234e-05,
                2.4300249397180202e-05,
                NaN,
                8.939697368500698e-06,
                4.539785239661729e-05,
                3.120190762197074e-05,
                0.00010889696092818032
            ],
            [
                1.0677029972639127e-06,
                NaN,
                5.144223195990727e-05,
                NaN,
                1.8925148237775583e-05,
                1.4738983721733992e-05,
                NaN,
                6.962257899319023e-06,
                2.753569763394596e-05,
                1.4738978455325741e-05
            ],
            [
                0.9975273772384691,
                1.4738987235622935e-05,
                3.059021904571643e-07,
                1.209865250694483e-06,
                1.1478770859624945e-05,
                6.1441753327418334e-06,
                0.9997694933698938,
                5.422219615188307e-06,
                0.9999339478789965,
                0.8519528094861981
            ],
            [
                8.315279285251204e-07,
                0.99994170874838,
                2.260325375650449e-06,
                4.222834954561012e-06,
                0.9999898700066062,
                0.9999687980774756,
                4.006367781356952e-05,
                0.999903897573676,
                0.9999785550592568,
                0.9988304894602453
            ],
            [
                1.2098656834349874e-06,
                5.043472278280699e-07,
                0.8354835350552603,
                1.892515041750292e-05,
                1.760343632920248e-06,
                4.785096776194573e-06,
                4.4508521110175827e-07,
                NaN,
                1.3709573702248741e-06,
                1.5534977545243671e-06
            ],
            [
                NaN,
                1.8925145982866508e-05,
                1.6701427803088173e-05,
                7.484625393265086e-05,
                2.753569437145972e-05,
                NaN,
                5.8291251611977796e-05,
                9.422447062240614e-07,
                NaN,
                5.144220743347863e-05
            ],
            [
                1.553498310118888e-06,
                3.726639727526609e-06,
                NaN,
                3.5356267545276676e-05,
                1.3007131559816827e-05,
                8.939697368110433e-06,
                4.006368725318095e-05,
                8.939697368305565e-06,
                NaN,
                6.144175334367959e-06
            ],
            [
                NaN,
                1.3709572068179446e-06,
                1.7603432132912532e-06,
                1.5534971989809095e-06,
                2.9023109471452223e-06,
                8.315280276505193e-07,
                9.610240346745984e-05,
                0.9996200154286918,
                0.9999869928715392,
                4.5397884790260616e-05
            ],
            [
                1.5534981249496567e-06,
                2.5612819051373276e-06,
                0.9996200155614821,
                8.481101093197769e-05,
                2.753568781222975e-05,
                6.605217605122477e-05,
                3.1201900209877224e-05,
                6.144176064364297e-06,
                1.994729007936337e-06,
                5.422218968595919e-06
            ],
            [
                1.1478772217837988e-05,
                NaN,
                2.4300249417247375e-05,
                1.2098659719524008e-06,
                2.4300237830711845e-05,
                NaN,
                1.1478768125201194e-05,
                1.1478773593548236e-05,
                1.7603440526133836e-06,
                2.4300246486733047e-05
            ]
        ]
    }
]